From a83ea3e9f99a8c438d04028cec63a9ec803a59c3 Mon Sep 17 00:00:00 2001 From: Minal C Date: Mon, 16 Mar 2026 23:04:31 -0300 Subject: [PATCH 1/2] complete assignment 1 --- 02_activities/assignments/assignment_1.html | 1737 ++++++++++++++ 02_activities/assignments/assignment_1.qmd | 153 +- .../figure-html/unnamed-chunk-12-1.png | Bin 0 -> 14646 bytes .../figure-html/unnamed-chunk-15-1.png | Bin 0 -> 14033 bytes ...p-9e3ffae467580fdb927a41352e75a2e0.min.css | 12 + .../libs/bootstrap/bootstrap-icons.css | 2106 +++++++++++++++++ .../libs/bootstrap/bootstrap-icons.woff | Bin 0 -> 180288 bytes .../libs/bootstrap/bootstrap.min.js | 7 + .../libs/clipboard/clipboard.min.js | 7 + .../libs/quarto-html/anchor.min.js | 9 + .../libs/quarto-html/axe/axe-check.js | 145 ++ .../libs/quarto-html/popper.min.js | 6 + ...hting-ed96de9b727972fe78a7b5d16c58bf87.css | 236 ++ .../libs/quarto-html/quarto.js | 847 +++++++ .../libs/quarto-html/tabsets/tabsets.js | 95 + .../libs/quarto-html/tippy.css | 1 + .../libs/quarto-html/tippy.umd.min.js | 2 + 02_activities/tutorials/tutorial_1.qmd | 18 +- 18 files changed, 5342 insertions(+), 39 deletions(-) create mode 100644 02_activities/assignments/assignment_1.html create mode 100644 02_activities/assignments/assignment_1_files/figure-html/unnamed-chunk-12-1.png create mode 100644 02_activities/assignments/assignment_1_files/figure-html/unnamed-chunk-15-1.png create mode 100644 02_activities/assignments/assignment_1_files/libs/bootstrap/bootstrap-9e3ffae467580fdb927a41352e75a2e0.min.css create mode 100644 02_activities/assignments/assignment_1_files/libs/bootstrap/bootstrap-icons.css create mode 100644 02_activities/assignments/assignment_1_files/libs/bootstrap/bootstrap-icons.woff create mode 100644 02_activities/assignments/assignment_1_files/libs/bootstrap/bootstrap.min.js create mode 100644 02_activities/assignments/assignment_1_files/libs/clipboard/clipboard.min.js create mode 100644 02_activities/assignments/assignment_1_files/libs/quarto-html/anchor.min.js create mode 100644 02_activities/assignments/assignment_1_files/libs/quarto-html/axe/axe-check.js create mode 100644 02_activities/assignments/assignment_1_files/libs/quarto-html/popper.min.js create mode 100644 02_activities/assignments/assignment_1_files/libs/quarto-html/quarto-syntax-highlighting-ed96de9b727972fe78a7b5d16c58bf87.css create mode 100644 02_activities/assignments/assignment_1_files/libs/quarto-html/quarto.js create mode 100644 02_activities/assignments/assignment_1_files/libs/quarto-html/tabsets/tabsets.js create mode 100644 02_activities/assignments/assignment_1_files/libs/quarto-html/tippy.css create mode 100644 02_activities/assignments/assignment_1_files/libs/quarto-html/tippy.umd.min.js diff --git a/02_activities/assignments/assignment_1.html b/02_activities/assignments/assignment_1.html new file mode 100644 index 0000000..83a414b --- /dev/null +++ b/02_activities/assignments/assignment_1.html @@ -0,0 +1,1737 @@ + + + + + + + + + +Assignment #1 + + + + + + + + + + + + + + + + + + + + + +
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Assignment #1

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Assignment 1

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You only need to write lines of code for each question. When answering questions that ask you to identify or interpret something, the length of your response doesn’t matter. For example, if the answer is just ‘yes,’ ‘no,’ or a number, you can just give that answer without adding anything else.

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We will go through comparable code and concepts in the live learning session. If you run into trouble, start by using the help help() function in R, to get information about the datasets and function in question. The internet is also a great resource when coding (though note that no outside searches are required by the assignment!). If you do incorporate code from the internet, please cite the source within your code (providing a URL is sufficient).

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Please bring questions that you cannot work out on your own to office hours, work periods or share with your peers on Slack. We will work with you through the issue.

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You will need to install PLINK and run the analyses. Please follow the OS-specific setup guide in SETUP.md. PLINK is a free, open-source whole genome association analysis toolset, designed to perform a range of basic, large-scale analyses in a computationally efficient manner.

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Question 1: Data inspection

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Before fitting any models, it is essential to understand the data. Use R or bash code to answer the following questions about the gwa.qc.A1.fam, gwa.qc.A1.bim, and gwa.qc.A1.bed files, available at the following Google Drive link: https://drive.google.com/drive/folders/11meVqGCY5yAyI1fh-fAlMEXQt0VmRGuz?usp=drive_link. Please download all three files from this link and place them in 02_activities/data/.

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  1. Read the .fam file. How many samples does the dataset contain?
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fam <- read.table("C:/Users/minal/OneDrive/Desktop/gen_data/02_activities/data/gwa.qc.A1.fam", header = FALSE)
+nrow(fam)
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[1] 4000
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 # The dataset contains 4000 samples
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  1. What is the ‘variable type’ of the response variable (i.e.Continuous or binary)?
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fam <- read.table("C:/Users/minal/OneDrive/Desktop/gen_data/02_activities/data/gwa.qc.A1.fam", header = FALSE)
+head(fam$V6)
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[1] -0.6944381  1.8538454  2.0826368  2.7387147  1.3411404  0.4167786
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+
unique(fam$V6)
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+
   [1] -0.694438130  1.853845361  2.082636778  2.738714739  1.341140356
+   [6]  0.416778587  2.382971233  1.514299288  0.718686391  2.089041362
+  [11]  1.433708345  1.033029984  1.975368955  3.209670788  2.493291214
+  [16]  3.079400042  1.671769648  2.049343898  1.322094772  1.258426470
+  [21]  2.102163139  1.566221015  2.581470920  1.730205789  2.004985294
+  [26] -0.058513492  1.238375706  2.315751569  0.985770460  1.829232363
+  [31]  1.722300677  2.180546731  2.335088328 -0.693529930  3.260521823
+  [36]  3.310500156  0.506915444  1.509406726  1.218114308  3.507849744
+  [41]  3.346117587  2.506476654  2.439118421  1.807498169  1.895426988
+  [46]  2.377298644  2.529290450  2.744653693  1.100191754  2.167363329
+  [51]  3.342415951  2.793413766  1.156579496  1.035552521  1.479569922
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+[3716]  0.043945585  2.663095419  2.034464982  1.422425866  3.453403807
+[3721]  3.447469301  3.370947890  2.826184390  1.944582455  0.475119178
+[3726]  2.002419776  1.795302319  1.355376639  1.295774517  2.194958381
+[3731]  2.629834026  1.573731964  1.734463388  0.961681918  1.737039793
+[3736]  0.197191354  2.237427453  0.722857744  2.909945510  1.720443712
+[3741]  0.489508474  2.162405209  1.927191160  3.368291796  1.383484905
+[3746]  2.912173172  2.136063221  1.217926389  3.346851718  2.050675987
+[3751]  0.959114063  3.156746522  3.949903804  2.044792956  0.961877549
+[3756]  1.602293322  1.375540038  2.239598876  2.721385714  1.605092855
+[3761]  3.455175158  1.099539939  1.041064532  0.974161121  0.108106971
+[3766]  0.393117541  1.740237340  2.033058274  1.346255131  2.287088204
+[3771]  0.099744738  0.049358224  0.796591477  1.871258866  1.519363920
+[3776]  0.492441499  1.701296194  3.783675735  0.482529531  2.646321113
+[3781]  1.964236500  1.557551383  4.260375164  1.255032776  4.922849902
+[3786]  0.627770808 -0.576730253  2.811893672  1.743012471  1.910398239
+[3791]  2.216832352  2.440836499  1.823731016  4.247426202  1.493836378
+[3796]  1.057148229  3.350836797  0.196989926  1.657187352  0.736739371
+[3801]  2.859262961  2.074016781  1.333865750  2.567358146  2.298975231
+[3806]  1.888543508  1.239529342  2.109264457  0.663797668  2.214229707
+[3811]  3.037478491  1.601350845  1.018846476  1.898625681  2.381438384
+[3816]  1.786479595  1.144546838  3.631067377  2.578493102  2.695829550
+[3821]  1.102991026  2.667597608  2.337733467 -1.543865785  0.128829774
+[3826]  2.502826943  1.897086396 -0.179195142  1.478077458  2.249300549
+[3831]  1.355244541  1.287812070  3.020831926  1.562783895  1.685355012
+[3836]  4.196534029  2.824979508  0.839408901  3.999127565  0.681634610
+[3841]  3.015271506  1.776082027  2.194772944  1.812298112  0.768185327
+[3846]  2.354107855  1.659614366  1.364719501  3.478871846  2.250220906
+[3851]  3.421229180  0.652472027  1.117170224  0.285964915  2.942685707
+[3856]  0.972233468  1.345849344  2.723644128  2.044220813  1.337925285
+[3861]  2.009624487  1.932512826  3.861295080  3.151701886  2.446049774
+[3866] -0.300903501  0.901270029  2.255772279  2.727545891  1.103344376
+[3871]  1.288437572  0.833169563 -0.572180354  3.008780039  1.561072850
+[3876]  2.081424078  1.563093392  0.606901409  2.792722208  2.618119004
+[3881]  1.539593273  1.152736816  4.365382376  3.247836542  1.982595434
+[3886]  1.465533779  1.459825685  0.823261961  0.056992403  3.072574767
+[3891]  1.465310949  2.120166823  2.510458561  1.299370790  1.803371062
+[3896]  2.115943520  2.410706436 -0.106773137  1.034127930  0.230118551
+[3901]  0.647062522  1.878672351  2.163581189  3.331088649  1.838497926
+[3906]  1.669851625  1.607699771  3.447460395  1.228072411  1.965055514
+[3911]  2.144572269  0.531540271  2.804693883  4.059926402  1.507595886
+[3916]  2.863279956  3.290160325  0.740429215  0.513128271  0.513392632
+[3921]  2.278906076  1.427822148  1.251685788  1.936062756  2.906787533
+[3926]  2.618211156  0.828728263  1.635341876  4.121141812  1.302693329
+[3931]  1.103946602  1.850404058  1.153250184  1.684511361  2.618351518
+[3936]  1.071955121  1.995777958  1.488187644  0.410240012  1.259283046
+[3941]  1.462409421  2.173325316  0.560423478  1.884714271  0.751006408
+[3946]  4.140458995  1.793244069  1.225137892  2.216311036  0.535053521
+[3951]  0.478460576  3.183607060  2.094318554  1.891558512  2.437425305
+[3956]  1.197585211  0.572653464  0.262836302  1.801774354  0.851853963
+[3961]  2.214844309  0.876795069  2.974828256  1.602691955  3.823117420
+[3966]  3.192662619  2.169309599  1.105424099  0.203320852  2.372429213
+[3971]  1.624611911 -0.127232763  0.707475896  3.200847916 -1.029698830
+[3976]  2.102372173 -0.776985194  2.068228234  1.139866988  1.630073796
+[3981]  0.615501345  2.193273400 -0.708950257  0.445528694  1.483704102
+[3986]  3.005934380  3.179665223  2.081869716  1.344246133  2.532178239
+[3991]  0.848357003  1.247300773  0.869393374  0.825096270  4.298838832
+[3996]  0.972865400  2.328812589  1.640779696  3.301833427  2.763848937
+
+
 # The variable type is continuous
+
+
    +
  1. Read the .bim file. How many SNPs does the dataset contain?
    2. +
+
+
bim <- read.table("C:/Users/minal/OneDrive/Desktop/gen_data/02_activities/data/gwa.qc.A1.bim", header = FALSE)
+nrow(bim)
+
+
[1] 101083
+
+
 # The dataset conatins 101083 SNPs
+
+
+
+

Question 2: Allele Frequency Estimation

+
    +
  1. Load the genotype matrix for SNPs rs1861, rs3813199, rs3128342, and rs11804831 using additive coding. What are the allele frequencies (AFs) for these four SNPs?
    2. +
+
+
plink2 --bfile ../data/gwa.qc.A1 --export A --out ../data/gwa.qc.A1_additive
+
+
PLINK v2.0.0-a.7 64-bit (10 Jan 2026)               cog-genomics.org/plink/2.0/
+(C) 2005-2026 Shaun Purcell, Christopher Chang    GNU General Public License v3
+Logging to ../data/gwa.qc.A1_additive.log.
+Options in effect:
+  --bfile ../data/gwa.qc.A1
+  --export A
+  --out ../data/gwa.qc.A1_additive
+
+Start time: Mon Mar 16 23:01:30 2026
+16108 MiB RAM detected; reserving 8054 MiB for main workspace.
+Using up to 12 threads (change this with --threads).
+4000 samples (2000 females, 2000 males; 4000 founders) loaded from
+../data/gwa.qc.A1.fam.
+101083 variants loaded from ../data/gwa.qc.A1.bim.
+1 quantitative phenotype loaded (4000 values).
+
+--export A pass 1/1: loading... 0%64% writing... 0%1%2%3%4%5%6%7%8%9%10%11%12%13%14%15%16%17%18%19%20%21%22%23%24%25%26%27%28%29%30%31%32%33%34%35%36%37%38%39%40%41%42%43%44%45%46%47%48%49%50%51%52%53%54%55%56%57%58%59%60%61%62%63%64%65%66%67%68%69%70%71%72%73%74%75%76%77%78%79%80%81%82%83%84%85%86%87%88%89%90%91%92%93%94%95%96%97%98%99% done.
+--export A: ../data/gwa.qc.A1_additive.raw written.
+End time: Mon Mar 16 23:01:32 2026
+
+
+
+
library(data.table)
+
+# Load the genotype matrix (additive coding)
+geno <- fread("C:/Users/minal/OneDrive/Desktop/gen_data/02_activities/data/gwa.qc.A1_additive.raw")
+
+# Select the 4 SNPs using exact column names
+geno_sub <- geno[, .(rs1861_C, rs3813199_G, rs3128342_C, rs11804831_T)]
+
+# Calculate allele frequencies (divide by 2 because additive coding is 0,1,2)
+af <- colMeans(geno_sub, na.rm = TRUE) / 2
+af
+
+
    rs1861_C  rs3813199_G  rs3128342_C rs11804831_T 
+   0.9460141    0.9430874    0.6948789    0.8456588
+
+
 # Allele frequencies for the 4 SNPs:
+# rs1861_C     = 0.9460141
+# rs3813199_G  = 0.9430874
+# rs3128342_C  = 0.6948789
+# rs11804831_T = 0.8456588
+
+
    +
  1. What are the minor allele frequencies (MAFs) for these four SNPs?
    2. +
+
+
 # MAF is the smaller of AF and 1-AF
+maf <- pmin(af, 1 - af)
+maf
+
+
    rs1861_C  rs3813199_G  rs3128342_C rs11804831_T 
+  0.05398587   0.05691262   0.30512109   0.15434124
+
+
 # Minor Allele Frequencies for the 4 SNPs:
+# rs1861_C     = 0.05398587
+# rs3813199_G  = 0.05691262
+# rs3128342_C  = 0.30512109
+# rs11804831_T = 0.15434124
+
+
+
+

Question 3: Hardy–Weinberg Equilibrium (HWE) Test

+
    +
  1. Conduct the Hardy–Weinberg Equilibrium (HWE) test for all SNPs in the .bim file. Then, load the file containing the HWE p-value results and display the first few rows of the resulting data frame.
    2. +
+
+
plink2 --bfile ../data/gwa.qc.A1 --hardy --out ../data/gwa.qc.A1_hwe
+
+
PLINK v2.0.0-a.7 64-bit (10 Jan 2026)               cog-genomics.org/plink/2.0/
+(C) 2005-2026 Shaun Purcell, Christopher Chang    GNU General Public License v3
+Logging to ../data/gwa.qc.A1_hwe.log.
+Options in effect:
+  --bfile ../data/gwa.qc.A1
+  --hardy
+  --out ../data/gwa.qc.A1_hwe
+
+Start time: Mon Mar 16 23:01:38 2026
+16108 MiB RAM detected; reserving 8054 MiB for main workspace.
+Using up to 12 threads (change this with --threads).
+4000 samples (2000 females, 2000 males; 4000 founders) loaded from
+../data/gwa.qc.A1.fam.
+101083 variants loaded from ../data/gwa.qc.A1.bim.
+1 quantitative phenotype loaded (4000 values).
+Calculating allele frequencies... 0%64%done.
+--hardy: 0%1%2%3%4%5%6%7%8%9%10%11%12%13%14%15%16%17%18%19%20%21%22%23%24%25%26%27%28%29%30%31%32%33%34%35%36%37%38%39%40%41%42%43%44%45%46%47%48%49%50%51%52%53%54%55%56%57%58%59%60%61%62%63%64%65%66%67%68%69%70%71%72%73%74%75%76%77%78%79%80%81%82%83%84%85%86%87%88%89%90%91%92%93%94%95%96%97%98%99%
+--hardy: Autosomal Hardy-Weinberg report (founders only) written to
+../data/gwa.qc.A1_hwe.hardy .
+End time: Mon Mar 16 23:01:39 2026
+
+
+
+
 # Load the HWE results
+library(data.table)
+hwe <- fread("C:/Users/minal/OneDrive/Desktop/gen_data/02_activities/data/gwa.qc.A1_hwe.hardy")
+head(hwe)
+
+
   #CHROM         ID     A1     AX HOM_A1_CT HET_A1_CT TWO_AX_CT O(HET_A1)
+    <int>     <char> <char> <char>     <int>     <int>     <int>     <num>
+1:      1  rs3737728      G      A      1713      1841       428  0.462330
+2:      1  rs1320565      C      T      3368       589        19  0.148139
+3:      1  rs3813199      G      A      3531       428        12  0.107781
+4:      1 rs11804831      T      C      2820      1061        81  0.267794
+5:      1  rs3766178      T      C      2391      1378       214  0.345970
+6:      1  rs3128342      C      A      1927      1655       382  0.417508
+   E(HET_A1)         P
+       <num>     <num>
+1:  0.447932 0.0437892
+2:  0.145262 0.2734290
+3:  0.107347 1.0000000
+4:  0.261040 0.1133540
+5:  0.350629 0.4158770
+6:  0.424044 0.3302730
+
+
+
    +
  1. What are the HWE p-values for SNPs rs1861, rs3813199, rs3128342, and rs11804831?
    2. +
+
+
library(data.table)
+
+# Load HWE results
+hwe <- fread("C:/Users/minal/OneDrive/Desktop/gen_data/02_activities/data/gwa.qc.A1_hwe.hardy")
+
+# Filter for our 4 SNPs and show their p-values
+snps <- c("rs1861", "rs3813199", "rs3128342", "rs11804831")
+hwe[ID %in% snps, .(ID, P)]
+
+
           ID        P
+       <char>    <num>
+1:  rs3813199 1.000000
+2: rs11804831 0.113354
+3:  rs3128342 0.330273
+4:     rs1861 0.274719
+
+
 # HWE p-values for the 4 SNPs:
+# rs1861      = 0.274719
+# rs3813199   = 1.000000
+# rs3128342   = 0.330273
+# rs11804831  = 0.113354
+
+
+
+

Question 4: Genetic Association Test

+
    +
  1. Conduct a linear regression to test the association between SNP rs1861 and the phenotype. What is the p-value?
    2. +
+
+
library(data.table)
+
+# Load genotype and phenotype data
+geno <- fread("C:/Users/minal/OneDrive/Desktop/gen_data/02_activities/data/gwa.qc.A1_additive.raw")
+fam <- read.table("C:/Users/minal/OneDrive/Desktop/gen_data/02_activities/data/gwa.qc.A1.fam", header = FALSE)
+
+# Extract phenotype (column 6) and rs1861 genotype
+phenotype <- fam$V6
+rs1861 <- geno$rs1861_C
+
+# Fit linear regression
+model_add <- lm(phenotype ~ rs1861)
+summary(model_add)
+
+

+Call:
+lm(formula = phenotype ~ rs1861)
+
+Residuals:
+    Min      1Q  Median      3Q     Max 
+-3.5439 -0.6850  0.0021  0.6993  3.3268 
+
+Coefficients:
+            Estimate Std. Error t value Pr(>|t|)    
+(Intercept)  0.05238    0.09486   0.552    0.581    
+rs1861       0.97382    0.04943  19.703   <2e-16 ***
+---
+Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
+
+Residual standard error: 1.003 on 3962 degrees of freedom
+  (36 observations deleted due to missingness)
+Multiple R-squared:  0.08924,   Adjusted R-squared:  0.08901 
+F-statistic: 388.2 on 1 and 3962 DF,  p-value: < 2.2e-16
+
+
 # p-value for rs1861 = <2e-16
+
+
    +
  1. How would you interpret the beta coefficient from this regression?
    2. +
+
+
# The beta coefficient for rs1861 is 0.97382
+
+
    +
  1. Plot the scatterplot of phenotype versus the genotype of SNP rs1861. Add the regression line to the plot.
    2. +
+
+
library(data.table)
+
+# Reload data
+geno <- fread("C:/Users/minal/OneDrive/Desktop/gen_data/02_activities/data/gwa.qc.A1_additive.raw")
+fam <- read.table("C:/Users/minal/OneDrive/Desktop/gen_data/02_activities/data/gwa.qc.A1.fam", header = FALSE)
+phenotype <- fam$V6
+rs1861 <- geno$rs1861_C
+model_add <- lm(phenotype ~ rs1861)
+
+# Plot scatterplot with regression line
+plot(rs1861, phenotype,
+     xlab = "Genotype of rs1861 (additive coding)",
+     ylab = "Phenotype",
+     main = "Phenotype vs rs1861 Genotype")
+abline(model_add, col = "red")
+
+
+
+

+
+
+
+
+
    +
  1. Convert the genotype coding for rs1861 to recessive coding.
    2. +
+
+
# Recessive coding: only 2 copies of allele = 1, everything else = 0
+rs1861_rec <- ifelse(rs1861 == 2, 1, 0)
+table(rs1861_rec)
+
+
rs1861_rec
+   0    1 
+ 413 3551
+
+
+
    +
  1. Conduct a linear regression to test the association between the recessive-coded rs1861 and the phenotype. What is the p-value?
    2. +
+
+
## Linear regression with recessive coding
+model_rec <- lm(phenotype ~ rs1861_rec)
+summary(model_rec)
+
+

+Call:
+lm(formula = phenotype ~ rs1861_rec)
+
+Residuals:
+    Min      1Q  Median      3Q     Max 
+-3.5437 -0.6892  0.0015  0.7016  3.3270 
+
+Coefficients:
+            Estimate Std. Error t value Pr(>|t|)    
+(Intercept)  0.99231    0.04945   20.07   <2e-16 ***
+rs1861_rec   1.00754    0.05224   19.29   <2e-16 ***
+---
+Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
+
+Residual standard error: 1.005 on 3962 degrees of freedom
+  (36 observations deleted due to missingness)
+Multiple R-squared:  0.08582,   Adjusted R-squared:  0.08559 
+F-statistic:   372 on 1 and 3962 DF,  p-value: < 2.2e-16
+
+
# Answer: p-value shown in rs1861_rec row under Pr(>|t|)
+ #  p-value for recessive model = <2e-16
+
+
    +
  1. Plot the scatterplot of phenotype versus the recessive-coded genotype of rs1861. Add the regression line to the plot.
    2. +
+
+
# Plot scatterplot with recessive coding and regression line
+plot(rs1861_rec, phenotype,
+     xlab = "Genotype of rs1861 (recessive coding)",
+     ylab = "Phenotype",
+     main = "Phenotype vs rs1861 Recessive Genotype")
+abline(model_rec, col = "blue")
+
+
+
+

+
+
+
+
+
    +
  1. Which model fits better? Justify your answer.
    2. +
+
+
summary(model_add)$r.squared
+
+
[1] 0.08923678
+
+
summary(model_rec)$r.squared
+
+
[1] 0.08582295
+
+
# The additive model fits better.
+# Additive R-squared = 0.08924
+# Recessive R-squared = 0.08582
+# Higher R-squared means better fit
+
+
+
+

Criteria

+ +++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
CriteriaCompleteIncomplete
Data InspectionCorrect sample/SNP counts and variable type identified.Missing or incorrect counts or variable type.
Allele Frequency EstimationCorrect allele and minor allele frequencies computed.Frequencies missing or wrong.
Hardy–Weinberg Equilibrium TestCorrect PLINK command and p-value extraction in R.PLINK command or extraction incorrect/missing.
Genetic Association TestCorrect regressions, plots, coding, and interpretation.Regression, plots, or interpretation missing/incomplete.
+
+
+

Submission Information

+

📌 Please review our Assignment Submission Guide for detailed instructions on how to format, branch, and submit your work. Following these guidelines is crucial for your submissions to be evaluated correctly.

+
+

Note:

+

If you like, you may collaborate with others in the cohort. If you choose to do so, please indicate with whom you have worked with in your pull request by tagging their GitHub username. Separate submissions are required.

+
+
+
+

Submission Parameters

+
    +

  • Submission Due Date: 11:59 PM – 16/03/2026

    • +

  • Branch name for your repo should be: assignment-1

    • +

  • What to submit for this assignment:

    +
      +
    • Populate this Quarto document (assignment_1.qmd).
      • +
    • Render the document with Quarto: quarto render assignment_1.qmd.
      • +
    • Submit both assignment_1.qmd and the rendered HTML file assignment_1.html in your pull request.
      • +
    • +

  • What the pull request link should look like for this assignment: https://github.com/<your_github_username>/gen_data/pull/<pr_id>

    +
      +
    • Open a private window in your browser. Copy and paste the link to your pull request into the address bar. Make sure you can see your pull request properly. This helps the technical facilitator and learning support team review your submission easily.
      • +
    • +
+
+

Checklist:

+
    +
  • Created a branch with the correct naming convention.
    • +
  • Ensured that the repository is public.
    • +
  • Reviewed the PR description guidelines and adhered to them.
    • +
  • Verified that the link is accessible in a private browser window.
    • +
  • Confirmed that both assignment_1.qmd and assignment_1.html are included in the pull request.
    • +
+

If you encounter any difficulties or have questions, please don’t hesitate to reach out to our team via our Slack help channel. Our technical facilitators and learning support team are here to help you navigate any challenges.

+
+
+
+ +
+ + +
+ + + + + \ No newline at end of file diff --git a/02_activities/assignments/assignment_1.qmd b/02_activities/assignments/assignment_1.qmd index 550af3d..54e3e80 100644 --- a/02_activities/assignments/assignment_1.qmd +++ b/02_activities/assignments/assignment_1.qmd @@ -18,93 +18,186 @@ You will need to install PLINK and run the analyses. Please follow the OS-specif Before fitting any models, it is essential to understand the data. Use R or bash code to answer the following questions about the `gwa.qc.A1.fam`, `gwa.qc.A1.bim`, and `gwa.qc.A1.bed` files, available at the following Google Drive link: . Please download all three files from this link and place them in `02_activities/data/`. (i) Read the .fam file. How many samples does the dataset contain? +```{r} +fam <- read.table("C:/Users/minal/OneDrive/Desktop/gen_data/02_activities/data/gwa.qc.A1.fam", header = FALSE) +nrow(fam) + # The dataset contains 4000 samples +``` + -``` -# Your answer here... -``` (ii) What is the 'variable type' of the response variable (i.e.Continuous or binary)? -``` -# Your answer here... +```{r} +fam <- read.table("C:/Users/minal/OneDrive/Desktop/gen_data/02_activities/data/gwa.qc.A1.fam", header = FALSE) +head(fam$V6) +unique(fam$V6) + # The variable type is continuous ``` (iii) Read the .bim file. How many SNPs does the dataset contain? -``` -# Your answer here... +```{r} +bim <- read.table("C:/Users/minal/OneDrive/Desktop/gen_data/02_activities/data/gwa.qc.A1.bim", header = FALSE) +nrow(bim) + # The dataset conatins 101083 SNPs ``` #### Question 2: Allele Frequency Estimation (i) Load the genotype matrix for SNPs rs1861, rs3813199, rs3128342, and rs11804831 using additive coding. What are the allele frequencies (AFs) for these four SNPs? +```{bash} +plink2 --bfile ../data/gwa.qc.A1 --export A --out ../data/gwa.qc.A1_additive +``` + +```{r} +library(data.table) -``` -# Your code here... +# Load the genotype matrix (additive coding) +geno <- fread("C:/Users/minal/OneDrive/Desktop/gen_data/02_activities/data/gwa.qc.A1_additive.raw") + +# Select the 4 SNPs using exact column names +geno_sub <- geno[, .(rs1861_C, rs3813199_G, rs3128342_C, rs11804831_T)] + +# Calculate allele frequencies (divide by 2 because additive coding is 0,1,2) +af <- colMeans(geno_sub, na.rm = TRUE) / 2 +af + # Allele frequencies for the 4 SNPs: +# rs1861_C = 0.9460141 +# rs3813199_G = 0.9430874 +# rs3128342_C = 0.6948789 +# rs11804831_T = 0.8456588 ``` (ii) What are the minor allele frequencies (MAFs) for these four SNPs? -``` -# Your code here... +```{r} + # MAF is the smaller of AF and 1-AF +maf <- pmin(af, 1 - af) +maf + # Minor Allele Frequencies for the 4 SNPs: +# rs1861_C = 0.05398587 +# rs3813199_G = 0.05691262 +# rs3128342_C = 0.30512109 +# rs11804831_T = 0.15434124 ``` #### Question 3: Hardy–Weinberg Equilibrium (HWE) Test (i) Conduct the Hardy–Weinberg Equilibrium (HWE) test for all SNPs in the .bim file. Then, load the file containing the HWE p-value results and display the first few rows of the resulting data frame. - -``` -# Your code here... +```{bash} +plink2 --bfile ../data/gwa.qc.A1 --hardy --out ../data/gwa.qc.A1_hwe +``` +```{r} + # Load the HWE results +library(data.table) +hwe <- fread("C:/Users/minal/OneDrive/Desktop/gen_data/02_activities/data/gwa.qc.A1_hwe.hardy") +head(hwe) ``` (ii) What are the HWE p-values for SNPs rs1861, rs3813199, rs3128342, and rs11804831? -``` -# Your code here... +```{r} +library(data.table) + +# Load HWE results +hwe <- fread("C:/Users/minal/OneDrive/Desktop/gen_data/02_activities/data/gwa.qc.A1_hwe.hardy") + +# Filter for our 4 SNPs and show their p-values +snps <- c("rs1861", "rs3813199", "rs3128342", "rs11804831") +hwe[ID %in% snps, .(ID, P)] + # HWE p-values for the 4 SNPs: +# rs1861 = 0.274719 +# rs3813199 = 1.000000 +# rs3128342 = 0.330273 +# rs11804831 = 0.113354 ``` #### Question 4: Genetic Association Test (i) Conduct a linear regression to test the association between SNP rs1861 and the phenotype. What is the p-value? -``` -# Your code here... +```{r} +library(data.table) + +# Load genotype and phenotype data +geno <- fread("C:/Users/minal/OneDrive/Desktop/gen_data/02_activities/data/gwa.qc.A1_additive.raw") +fam <- read.table("C:/Users/minal/OneDrive/Desktop/gen_data/02_activities/data/gwa.qc.A1.fam", header = FALSE) + +# Extract phenotype (column 6) and rs1861 genotype +phenotype <- fam$V6 +rs1861 <- geno$rs1861_C + +# Fit linear regression +model_add <- lm(phenotype ~ rs1861) +summary(model_add) + # p-value for rs1861 = <2e-16 ``` (ii) How would you interpret the beta coefficient from this regression? -``` -# Your answer here... +```{r} +# The beta coefficient for rs1861 is 0.97382 ``` (iii) Plot the scatterplot of phenotype versus the genotype of SNP rs1861. Add the regression line to the plot. -``` -# Your code here... +```{r} +library(data.table) + +# Reload data +geno <- fread("C:/Users/minal/OneDrive/Desktop/gen_data/02_activities/data/gwa.qc.A1_additive.raw") +fam <- read.table("C:/Users/minal/OneDrive/Desktop/gen_data/02_activities/data/gwa.qc.A1.fam", header = FALSE) +phenotype <- fam$V6 +rs1861 <- geno$rs1861_C +model_add <- lm(phenotype ~ rs1861) + +# Plot scatterplot with regression line +plot(rs1861, phenotype, + xlab = "Genotype of rs1861 (additive coding)", + ylab = "Phenotype", + main = "Phenotype vs rs1861 Genotype") +abline(model_add, col = "red") ``` (iv) Convert the genotype coding for rs1861 to recessive coding. -``` -# Your code here... +```{r} +# Recessive coding: only 2 copies of allele = 1, everything else = 0 +rs1861_rec <- ifelse(rs1861 == 2, 1, 0) +table(rs1861_rec) ``` (v) Conduct a linear regression to test the association between the recessive-coded rs1861 and the phenotype. What is the p-value? -``` -# Your code here... +```{r} +## Linear regression with recessive coding +model_rec <- lm(phenotype ~ rs1861_rec) +summary(model_rec) +# Answer: p-value shown in rs1861_rec row under Pr(>|t|) + # p-value for recessive model = <2e-16 ``` (vi) Plot the scatterplot of phenotype versus the recessive-coded genotype of rs1861. Add the regression line to the plot. -``` -# Your code here... +```{r} +# Plot scatterplot with recessive coding and regression line +plot(rs1861_rec, phenotype, + xlab = "Genotype of rs1861 (recessive coding)", + ylab = "Phenotype", + main = "Phenotype vs rs1861 Recessive Genotype") +abline(model_rec, col = "blue") ``` (vii) Which model fits better? Justify your answer. -``` -# Your answer here... +```{r} +summary(model_add)$r.squared +summary(model_rec)$r.squared +# The additive model fits better. +# Additive R-squared = 0.08924 +# Recessive R-squared = 0.08582 +# Higher R-squared means better fit ``` ### Criteria diff --git a/02_activities/assignments/assignment_1_files/figure-html/unnamed-chunk-12-1.png b/02_activities/assignments/assignment_1_files/figure-html/unnamed-chunk-12-1.png new file mode 100644 index 0000000000000000000000000000000000000000..81a774f4916b2e8c55b12a83a430af0b1c960b55 GIT binary patch literal 14646 zcmd^mcU)6jmnaD!MTLtfDAfw66boH}ctydhQk32zB3(dw2_-03RJtfdN}?#J0V2{{ zP!SLih$6j2N(c}-1V|vs+X>$LeQ(~(o8R~Tnwgj1;bdo*)%V(Kt#f#2WT3Z`UyPrF zgJb6(^;t&~pk&LdGTmau39GV;)P8^z=9Gc*s$l>I~;RNnw zpcizpx>+A5O($?AYJ&d6M9oBSA8=wXbJFB+0>i9v@JVz^1Xr087%eMvDg$?Bq9#Y8 z6Sy=J!7ytae998bz%`IK04`>k6GxeoW?3S*oXWr$SjQR%p8+rh+{y+(gIUI84kT(0 zBsvY0fh+M>_W<}X!63K|Fqupa4ge0!V-A$DJ6MZAH{bS524Ix$j=rTY2Zv-d>kpDZ zTy*5%*w1lE_nb*k=IjvSUZ({v&E1?+)@0kWOFuvOMTb2TNS--xeP(!{=2W&=n$xaa zxz{uXieynHfBF4pa&3$0-V;hvDB{21pRj>G9YwICc#f50HS_~c**A>8_h z(HsxCcJEI@LJ#jULh3^K6ZQWm4JNeqI2S+DOCW?Ei|{rMW&XS#L=q2TDwR{dl#@bn zx;QGCwt*2;G9c+xtB6SrFNIQ`@4cua=s{8JR8r;{n-2T+t4wnK5wNuN>-7$BVJ#*qR8sE9I zj{tO%5G|_jVvO~U$%9Aq)Us1Q=JT&pON#JPiV^)bnG~CBug#Ye^v0OqJZI*~>Y_o} zTq_mw7dKC(_ei(4eYvoMt7K%_1LGdEU&MMURi`^Vyo@$=>Y-uzaP7#8O%$2fL{*a} zl$p7C&FvKpDg=vva8_9rSjGB43aV{9Zesa^O215Cx>I9_N%D1ukl#RQZbHjI3 z-4zmvOowReb-nTrr)9vhJ@}Y7q#Z6hVFFRd)SK0=+oSVLD}td`m9Ox!0b0 zeW9Fsbxy&zJb0NVo?#D5CBK-x=08;Hncf;rkyao`zqWg7ta!)sPoS42cD(S(#_WF zEWBVnfvbbeW&eRwXrc{n8b|fnR~xD`5Okj+vpGsKP0|$cCeO`YQg^-5PhzgG*KOK( zd`s|+^gRxQy~4Fp*S(FfBobHKK{T=%Tpj3FGUKfBe%-N@7q?gw`p&#mT*oGCafs%G zX(oqE|1q2Og{CGNmqnBn=e9lDv&6Cb;z*X7Qp&ebh4~jXSHnJyL3PWi)MKl(GWfmOF$K7A9t)g#uUIvT9A| zyZrC0J#~CgJ~z5=9!gT>o%DX=NSYoS=%h?q#(yIo>kX;L7GH}SC?s&bE@&@oTwRhW zU9>^;EW8M*SnjX4HPy2W(D84h*^35R4X)IPtj0k>0Y_URAy&MKhxZISk-+InYJhim8RkSp+M7y#&d;r@OKTI+28tdx5X`cR8 zY9T))7N98*ESL$OenyEjkJ*sNSA`nVebmUF0xls=CX{Dxe+g zehxx`8|#7 zYS@z;J~zzs-9;~Sd16!Ei-ywa>d@8nYAVrw=n9cshLS{pbozKFr}w5by4b|M!bm%N zV6Dn+69yV9)x|N|lq5?@9TNnqu*xBrtYBzc-rt@tnPXXJP7Z4B4|{tmO3h0?$tt`1 zj8h5)VPX9aTQ*oLvttrSBU%=0U?Dsrp*ywgcILy~Tz(E+d13_xYi->GRfAYd`g&*? 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1rem;--bs-nav-link-padding-y: 0.5rem;--bs-nav-link-font-weight: ;--bs-nav-link-color: #0d6efd;--bs-nav-link-hover-color: rgb(10.4, 88, 202.4);--bs-nav-link-disabled-color: rgba(33, 37, 41, 0.75);display:flex;display:-webkit-flex;flex-wrap:wrap;-webkit-flex-wrap:wrap;padding-left:0;margin-bottom:0;list-style:none}.nav-link{display:block;padding:var(--bs-nav-link-padding-y) var(--bs-nav-link-padding-x);font-size:var(--bs-nav-link-font-size);font-weight:var(--bs-nav-link-font-weight);color:var(--bs-nav-link-color);text-decoration:none;-webkit-text-decoration:none;-moz-text-decoration:none;-ms-text-decoration:none;-o-text-decoration:none;background:none;border:0;transition:color .15s ease-in-out,background-color .15s ease-in-out,border-color .15s ease-in-out}@media(prefers-reduced-motion: reduce){.nav-link{transition:none}}.nav-link:hover,.nav-link:focus{color:var(--bs-nav-link-hover-color)}.nav-link:focus-visible{outline:0;box-shadow:0 0 0 .25rem 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0);--bs-navbar-toggler-icon-bg: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 30 30'%3e%3cpath stroke='rgb%28253.26, 253.63, 253.98%29' stroke-linecap='round' stroke-miterlimit='10' stroke-width='2' d='M4 7h22M4 15h22M4 23h22'/%3e%3c/svg%3e")}[data-bs-theme=dark] .navbar-toggler-icon{--bs-navbar-toggler-icon-bg: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 30 30'%3e%3cpath stroke='rgb%28253.26, 253.63, 253.98%29' stroke-linecap='round' stroke-miterlimit='10' stroke-width='2' d='M4 7h22M4 15h22M4 23h22'/%3e%3c/svg%3e")}.card{--bs-card-spacer-y: 1rem;--bs-card-spacer-x: 1rem;--bs-card-title-spacer-y: 0.5rem;--bs-card-title-color: ;--bs-card-subtitle-color: ;--bs-card-border-width: 1px;--bs-card-border-color: rgba(0, 0, 0, 0.175);--bs-card-border-radius: 0.375rem;--bs-card-box-shadow: ;--bs-card-inner-border-radius: calc(0.375rem - 1px);--bs-card-cap-padding-y: 0.5rem;--bs-card-cap-padding-x: 1rem;--bs-card-cap-bg: 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var(--bs-card-spacer-x);color:var(--bs-card-color)}.card-title{margin-bottom:var(--bs-card-title-spacer-y);color:var(--bs-card-title-color)}.card-subtitle{margin-top:calc(-0.5*var(--bs-card-title-spacer-y));margin-bottom:0;color:var(--bs-card-subtitle-color)}.card-text:last-child{margin-bottom:0}.card-link+.card-link{margin-left:var(--bs-card-spacer-x)}.card-header{padding:var(--bs-card-cap-padding-y) var(--bs-card-cap-padding-x);margin-bottom:0;color:var(--bs-card-cap-color);background-color:var(--bs-card-cap-bg);border-bottom:var(--bs-card-border-width) solid var(--bs-card-border-color)}.card-header:first-child{border-radius:var(--bs-card-inner-border-radius) var(--bs-card-inner-border-radius) 0 0}.card-footer{padding:var(--bs-card-cap-padding-y) var(--bs-card-cap-padding-x);color:var(--bs-card-cap-color);background-color:var(--bs-card-cap-bg);border-top:var(--bs-card-border-width) solid var(--bs-card-border-color)}.card-footer:last-child{border-radius:0 0 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.nav-link.active{background-color:var(--bs-card-bg);border-bottom-color:var(--bs-card-bg)}.card-header-pills{margin-right:calc(-0.5*var(--bs-card-cap-padding-x));margin-left:calc(-0.5*var(--bs-card-cap-padding-x))}.card-img-overlay{position:absolute;top:0;right:0;bottom:0;left:0;padding:var(--bs-card-img-overlay-padding);border-radius:var(--bs-card-inner-border-radius)}.card-img,.card-img-top,.card-img-bottom{width:100%}.card-img,.card-img-top{border-top-left-radius:var(--bs-card-inner-border-radius);border-top-right-radius:var(--bs-card-inner-border-radius)}.card-img,.card-img-bottom{border-bottom-right-radius:var(--bs-card-inner-border-radius);border-bottom-left-radius:var(--bs-card-inner-border-radius)}.card-group>.card{margin-bottom:var(--bs-card-group-margin)}@media(min-width: 576px){.card-group{display:flex;display:-webkit-flex;flex-flow:row wrap;-webkit-flex-flow:row wrap}.card-group>.card{flex:1 0 0%;-webkit-flex:1 0 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ease;--bs-accordion-border-color: rgb(221.7, 222.3, 222.9);--bs-accordion-border-width: 1px;--bs-accordion-border-radius: 0.375rem;--bs-accordion-inner-border-radius: calc(0.375rem - 1px);--bs-accordion-btn-padding-x: 1.25rem;--bs-accordion-btn-padding-y: 1rem;--bs-accordion-btn-color: #212529;--bs-accordion-btn-bg: #ffffff;--bs-accordion-btn-icon: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='%23212529'%3e%3cpath fill-rule='evenodd' d='M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z'/%3e%3c/svg%3e");--bs-accordion-btn-icon-width: 1.25rem;--bs-accordion-btn-icon-transform: rotate(-180deg);--bs-accordion-btn-icon-transition: transform 0.2s ease-in-out;--bs-accordion-btn-active-icon: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='rgb%285.2, 44, 101.2%29'%3e%3cpath fill-rule='evenodd' d='M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z'/%3e%3c/svg%3e");--bs-accordion-btn-focus-border-color: rgb(134, 182.5, 254);--bs-accordion-btn-focus-box-shadow: 0 0 0 0.25rem rgba(13, 110, 253, 0.25);--bs-accordion-body-padding-x: 1.25rem;--bs-accordion-body-padding-y: 1rem;--bs-accordion-active-color: rgb(5.2, 44, 101.2);--bs-accordion-active-bg: rgb(206.6, 226, 254.6)}.accordion-button{position:relative;display:flex;display:-webkit-flex;align-items:center;-webkit-align-items:center;width:100%;padding:var(--bs-accordion-btn-padding-y) var(--bs-accordion-btn-padding-x);font-size:1rem;color:var(--bs-accordion-btn-color);text-align:left;background-color:var(--bs-accordion-btn-bg);border:0;border-radius:0;overflow-anchor:none;transition:var(--bs-accordion-transition)}@media(prefers-reduced-motion: reduce){.accordion-button{transition:none}}.accordion-button:not(.collapsed){color:var(--bs-accordion-active-color);background-color:var(--bs-accordion-active-bg);box-shadow:inset 0 calc(-1*var(--bs-accordion-border-width)) 0 var(--bs-accordion-border-color)}.accordion-button:not(.collapsed)::after{background-image:var(--bs-accordion-btn-active-icon);transform:var(--bs-accordion-btn-icon-transform)}.accordion-button::after{flex-shrink:0;-webkit-flex-shrink:0;width:var(--bs-accordion-btn-icon-width);height:var(--bs-accordion-btn-icon-width);margin-left:auto;content:"";background-image:var(--bs-accordion-btn-icon);background-repeat:no-repeat;background-size:var(--bs-accordion-btn-icon-width);transition:var(--bs-accordion-btn-icon-transition)}@media(prefers-reduced-motion: reduce){.accordion-button::after{transition:none}}.accordion-button:hover{z-index:2}.accordion-button:focus{z-index:3;border-color:var(--bs-accordion-btn-focus-border-color);outline:0;box-shadow:var(--bs-accordion-btn-focus-box-shadow)}.accordion-header{margin-bottom:0}.accordion-item{color:var(--bs-accordion-color);background-color:var(--bs-accordion-bg);border:var(--bs-accordion-border-width) solid var(--bs-accordion-border-color)}.accordion-item:first-of-type{border-top-left-radius:var(--bs-accordion-border-radius);border-top-right-radius:var(--bs-accordion-border-radius)}.accordion-item:first-of-type .accordion-button{border-top-left-radius:var(--bs-accordion-inner-border-radius);border-top-right-radius:var(--bs-accordion-inner-border-radius)}.accordion-item:not(:first-of-type){border-top:0}.accordion-item:last-of-type{border-bottom-right-radius:var(--bs-accordion-border-radius);border-bottom-left-radius:var(--bs-accordion-border-radius)}.accordion-item:last-of-type .accordion-button.collapsed{border-bottom-right-radius:var(--bs-accordion-inner-border-radius);border-bottom-left-radius:var(--bs-accordion-inner-border-radius)}.accordion-item:last-of-type .accordion-collapse{border-bottom-right-radius:var(--bs-accordion-border-radius);border-bottom-left-radius:var(--bs-accordion-border-radius)}.accordion-body{padding:var(--bs-accordion-body-padding-y) var(--bs-accordion-body-padding-x)}.accordion-flush .accordion-collapse{border-width:0}.accordion-flush .accordion-item{border-right:0;border-left:0;border-radius:0}.accordion-flush .accordion-item:first-child{border-top:0}.accordion-flush .accordion-item:last-child{border-bottom:0}.accordion-flush .accordion-item .accordion-button,.accordion-flush .accordion-item .accordion-button.collapsed{border-radius:0}[data-bs-theme=dark] .accordion-button::after{--bs-accordion-btn-icon: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='rgb%28109.8, 168, 253.8%29'%3e%3cpath fill-rule='evenodd' d='M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z'/%3e%3c/svg%3e");--bs-accordion-btn-active-icon: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='rgb%28109.8, 168, 253.8%29'%3e%3cpath fill-rule='evenodd' d='M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z'/%3e%3c/svg%3e")}.breadcrumb{--bs-breadcrumb-padding-x: 0;--bs-breadcrumb-padding-y: 0;--bs-breadcrumb-margin-bottom: 1rem;--bs-breadcrumb-bg: ;--bs-breadcrumb-border-radius: ;--bs-breadcrumb-divider-color: rgba(33, 37, 41, 0.75);--bs-breadcrumb-item-padding-x: 0.5rem;--bs-breadcrumb-item-active-color: rgba(33, 37, 41, 0.75);display:flex;display:-webkit-flex;flex-wrap:wrap;-webkit-flex-wrap:wrap;padding:var(--bs-breadcrumb-padding-y) var(--bs-breadcrumb-padding-x);margin-bottom:var(--bs-breadcrumb-margin-bottom);font-size:var(--bs-breadcrumb-font-size);list-style:none;background-color:var(--bs-breadcrumb-bg);border-radius:var(--bs-breadcrumb-border-radius)}.breadcrumb-item+.breadcrumb-item{padding-left:var(--bs-breadcrumb-item-padding-x)}.breadcrumb-item+.breadcrumb-item::before{float:left;padding-right:var(--bs-breadcrumb-item-padding-x);color:var(--bs-breadcrumb-divider-color);content:var(--bs-breadcrumb-divider, ">") /* rtl: var(--bs-breadcrumb-divider, ">") */}.breadcrumb-item.active{color:var(--bs-breadcrumb-item-active-color)}.pagination{--bs-pagination-padding-x: 0.75rem;--bs-pagination-padding-y: 0.375rem;--bs-pagination-font-size:1rem;--bs-pagination-color: #0d6efd;--bs-pagination-bg: #ffffff;--bs-pagination-border-width: 1px;--bs-pagination-border-color: rgb(221.7, 222.3, 222.9);--bs-pagination-border-radius: 0.375rem;--bs-pagination-hover-color: rgb(10.4, 88, 202.4);--bs-pagination-hover-bg: #f8f9fa;--bs-pagination-hover-border-color: rgb(221.7, 222.3, 222.9);--bs-pagination-focus-color: rgb(10.4, 88, 202.4);--bs-pagination-focus-bg: #e9ecef;--bs-pagination-focus-box-shadow: 0 0 0 0.25rem rgba(13, 110, 253, 0.25);--bs-pagination-active-color: #ffffff;--bs-pagination-active-bg: #0d6efd;--bs-pagination-active-border-color: #0d6efd;--bs-pagination-disabled-color: rgba(33, 37, 41, 0.75);--bs-pagination-disabled-bg: #e9ecef;--bs-pagination-disabled-border-color: rgb(221.7, 222.3, 222.9);display:flex;display:-webkit-flex;padding-left:0;list-style:none}.page-link{position:relative;display:block;padding:var(--bs-pagination-padding-y) var(--bs-pagination-padding-x);font-size:var(--bs-pagination-font-size);color:var(--bs-pagination-color);text-decoration:none;-webkit-text-decoration:none;-moz-text-decoration:none;-ms-text-decoration:none;-o-text-decoration:none;background-color:var(--bs-pagination-bg);border:var(--bs-pagination-border-width) solid var(--bs-pagination-border-color);transition:color .15s ease-in-out,background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out}@media(prefers-reduced-motion: reduce){.page-link{transition:none}}.page-link:hover{z-index:2;color:var(--bs-pagination-hover-color);background-color:var(--bs-pagination-hover-bg);border-color:var(--bs-pagination-hover-border-color)}.page-link:focus{z-index:3;color:var(--bs-pagination-focus-color);background-color:var(--bs-pagination-focus-bg);outline:0;box-shadow:var(--bs-pagination-focus-box-shadow)}.page-link.active,.active>.page-link{z-index:3;color:var(--bs-pagination-active-color);background-color:var(--bs-pagination-active-bg);border-color:var(--bs-pagination-active-border-color)}.page-link.disabled,.disabled>.page-link{color:var(--bs-pagination-disabled-color);pointer-events:none;background-color:var(--bs-pagination-disabled-bg);border-color:var(--bs-pagination-disabled-border-color)}.page-item:not(:first-child) .page-link{margin-left:calc(1px*-1)}.page-item:first-child .page-link{border-top-left-radius:var(--bs-pagination-border-radius);border-bottom-left-radius:var(--bs-pagination-border-radius)}.page-item:last-child .page-link{border-top-right-radius:var(--bs-pagination-border-radius);border-bottom-right-radius:var(--bs-pagination-border-radius)}.pagination-lg{--bs-pagination-padding-x: 1.5rem;--bs-pagination-padding-y: 0.75rem;--bs-pagination-font-size:1.25rem;--bs-pagination-border-radius: 0.5rem}.pagination-sm{--bs-pagination-padding-x: 0.5rem;--bs-pagination-padding-y: 0.25rem;--bs-pagination-font-size:0.875rem;--bs-pagination-border-radius: 0.25rem}.badge{--bs-badge-padding-x: 0.65em;--bs-badge-padding-y: 0.35em;--bs-badge-font-size:0.75em;--bs-badge-font-weight: 700;--bs-badge-color: #ffffff;--bs-badge-border-radius: 0.375rem;display:inline-block;padding:var(--bs-badge-padding-y) var(--bs-badge-padding-x);font-size:var(--bs-badge-font-size);font-weight:var(--bs-badge-font-weight);line-height:1;color:var(--bs-badge-color);text-align:center;white-space:nowrap;vertical-align:baseline;border-radius:var(--bs-badge-border-radius)}.badge:empty{display:none}.btn .badge{position:relative;top:-1px}.alert{--bs-alert-bg: transparent;--bs-alert-padding-x: 1rem;--bs-alert-padding-y: 1rem;--bs-alert-margin-bottom: 1rem;--bs-alert-color: inherit;--bs-alert-border-color: transparent;--bs-alert-border: 1px solid var(--bs-alert-border-color);--bs-alert-border-radius: 0.375rem;--bs-alert-link-color: inherit;position:relative;padding:var(--bs-alert-padding-y) var(--bs-alert-padding-x);margin-bottom:var(--bs-alert-margin-bottom);color:var(--bs-alert-color);background-color:var(--bs-alert-bg);border:var(--bs-alert-border);border-radius:var(--bs-alert-border-radius)}.alert-heading{color:inherit}.alert-link{font-weight:700;color:var(--bs-alert-link-color)}.alert-dismissible{padding-right:3rem}.alert-dismissible .btn-close{position:absolute;top:0;right:0;z-index:2;padding:1.25rem 1rem}.alert-default{--bs-alert-color: var(--bs-default-text-emphasis);--bs-alert-bg: var(--bs-default-bg-subtle);--bs-alert-border-color: var(--bs-default-border-subtle);--bs-alert-link-color: var(--bs-default-text-emphasis)}.alert-primary{--bs-alert-color: var(--bs-primary-text-emphasis);--bs-alert-bg: var(--bs-primary-bg-subtle);--bs-alert-border-color: var(--bs-primary-border-subtle);--bs-alert-link-color: var(--bs-primary-text-emphasis)}.alert-secondary{--bs-alert-color: var(--bs-secondary-text-emphasis);--bs-alert-bg: var(--bs-secondary-bg-subtle);--bs-alert-border-color: var(--bs-secondary-border-subtle);--bs-alert-link-color: var(--bs-secondary-text-emphasis)}.alert-success{--bs-alert-color: var(--bs-success-text-emphasis);--bs-alert-bg: var(--bs-success-bg-subtle);--bs-alert-border-color: var(--bs-success-border-subtle);--bs-alert-link-color: var(--bs-success-text-emphasis)}.alert-info{--bs-alert-color: var(--bs-info-text-emphasis);--bs-alert-bg: var(--bs-info-bg-subtle);--bs-alert-border-color: var(--bs-info-border-subtle);--bs-alert-link-color: var(--bs-info-text-emphasis)}.alert-warning{--bs-alert-color: var(--bs-warning-text-emphasis);--bs-alert-bg: var(--bs-warning-bg-subtle);--bs-alert-border-color: var(--bs-warning-border-subtle);--bs-alert-link-color: var(--bs-warning-text-emphasis)}.alert-danger{--bs-alert-color: var(--bs-danger-text-emphasis);--bs-alert-bg: var(--bs-danger-bg-subtle);--bs-alert-border-color: var(--bs-danger-border-subtle);--bs-alert-link-color: var(--bs-danger-text-emphasis)}.alert-light{--bs-alert-color: var(--bs-light-text-emphasis);--bs-alert-bg: var(--bs-light-bg-subtle);--bs-alert-border-color: var(--bs-light-border-subtle);--bs-alert-link-color: var(--bs-light-text-emphasis)}.alert-dark{--bs-alert-color: var(--bs-dark-text-emphasis);--bs-alert-bg: var(--bs-dark-bg-subtle);--bs-alert-border-color: var(--bs-dark-border-subtle);--bs-alert-link-color: var(--bs-dark-text-emphasis)}@keyframes progress-bar-stripes{0%{background-position-x:1rem}}.progress,.progress-stacked{--bs-progress-height: 1rem;--bs-progress-font-size:0.75rem;--bs-progress-bg: #e9ecef;--bs-progress-border-radius: 0.375rem;--bs-progress-box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.075);--bs-progress-bar-color: #ffffff;--bs-progress-bar-bg: #0d6efd;--bs-progress-bar-transition: width 0.6s ease;display:flex;display:-webkit-flex;height:var(--bs-progress-height);overflow:hidden;font-size:var(--bs-progress-font-size);background-color:var(--bs-progress-bg);border-radius:var(--bs-progress-border-radius)}.progress-bar{display:flex;display:-webkit-flex;flex-direction:column;-webkit-flex-direction:column;justify-content:center;-webkit-justify-content:center;overflow:hidden;color:var(--bs-progress-bar-color);text-align:center;white-space:nowrap;background-color:var(--bs-progress-bar-bg);transition:var(--bs-progress-bar-transition)}@media(prefers-reduced-motion: reduce){.progress-bar{transition:none}}.progress-bar-striped{background-image:linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);background-size:var(--bs-progress-height) var(--bs-progress-height)}.progress-stacked>.progress{overflow:visible}.progress-stacked>.progress>.progress-bar{width:100%}.progress-bar-animated{animation:1s linear infinite progress-bar-stripes}@media(prefers-reduced-motion: reduce){.progress-bar-animated{animation:none}}.list-group{--bs-list-group-color: #212529;--bs-list-group-bg: #ffffff;--bs-list-group-border-color: rgb(221.7, 222.3, 222.9);--bs-list-group-border-width: 1px;--bs-list-group-border-radius: 0.375rem;--bs-list-group-item-padding-x: 1rem;--bs-list-group-item-padding-y: 0.5rem;--bs-list-group-action-color: rgba(33, 37, 41, 0.75);--bs-list-group-action-hover-color: #000;--bs-list-group-action-hover-bg: #f8f9fa;--bs-list-group-action-active-color: #212529;--bs-list-group-action-active-bg: #e9ecef;--bs-list-group-disabled-color: rgba(33, 37, 41, 0.75);--bs-list-group-disabled-bg: #ffffff;--bs-list-group-active-color: #ffffff;--bs-list-group-active-bg: #0d6efd;--bs-list-group-active-border-color: #0d6efd;display:flex;display:-webkit-flex;flex-direction:column;-webkit-flex-direction:column;padding-left:0;margin-bottom:0;border-radius:var(--bs-list-group-border-radius)}.list-group-numbered{list-style-type:none;counter-reset:section}.list-group-numbered>.list-group-item::before{content:counters(section, ".") ". ";counter-increment:section}.list-group-item-action{width:100%;color:var(--bs-list-group-action-color);text-align:inherit}.list-group-item-action:hover,.list-group-item-action:focus{z-index:1;color:var(--bs-list-group-action-hover-color);text-decoration:none;background-color:var(--bs-list-group-action-hover-bg)}.list-group-item-action:active{color:var(--bs-list-group-action-active-color);background-color:var(--bs-list-group-action-active-bg)}.list-group-item{position:relative;display:block;padding:var(--bs-list-group-item-padding-y) var(--bs-list-group-item-padding-x);color:var(--bs-list-group-color);text-decoration:none;-webkit-text-decoration:none;-moz-text-decoration:none;-ms-text-decoration:none;-o-text-decoration:none;background-color:var(--bs-list-group-bg);border:var(--bs-list-group-border-width) solid 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576px){.list-group-horizontal-sm{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-sm>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-sm>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-sm>.list-group-item.active{margin-top:0}.list-group-horizontal-sm>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-sm>.list-group-item+.list-group-item.active{margin-left:calc(-1*var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}@media(min-width: 768px){.list-group-horizontal-md{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-md>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-md>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-md>.list-group-item.active{margin-top:0}.list-group-horizontal-md>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-md>.list-group-item+.list-group-item.active{margin-left:calc(-1*var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}@media(min-width: 992px){.list-group-horizontal-lg{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-lg>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-lg>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-lg>.list-group-item.active{margin-top:0}.list-group-horizontal-lg>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-lg>.list-group-item+.list-group-item.active{margin-left:calc(-1*var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}@media(min-width: 1200px){.list-group-horizontal-xl{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-xl>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-xl>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-xl>.list-group-item.active{margin-top:0}.list-group-horizontal-xl>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-xl>.list-group-item+.list-group-item.active{margin-left:calc(-1*var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}@media(min-width: 1400px){.list-group-horizontal-xxl{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-xxl>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-xxl>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-xxl>.list-group-item.active{margin-top:0}.list-group-horizontal-xxl>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-xxl>.list-group-item+.list-group-item.active{margin-left:calc(-1*var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}.list-group-flush{border-radius:0}.list-group-flush>.list-group-item{border-width:0 0 var(--bs-list-group-border-width)}.list-group-flush>.list-group-item:last-child{border-bottom-width:0}.list-group-item-default{--bs-list-group-color: var(--bs-default-text-emphasis);--bs-list-group-bg: var(--bs-default-bg-subtle);--bs-list-group-border-color: var(--bs-default-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-default-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-default-border-subtle);--bs-list-group-active-color: var(--bs-default-bg-subtle);--bs-list-group-active-bg: var(--bs-default-text-emphasis);--bs-list-group-active-border-color: var(--bs-default-text-emphasis)}.list-group-item-primary{--bs-list-group-color: var(--bs-primary-text-emphasis);--bs-list-group-bg: var(--bs-primary-bg-subtle);--bs-list-group-border-color: var(--bs-primary-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-primary-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-primary-border-subtle);--bs-list-group-active-color: var(--bs-primary-bg-subtle);--bs-list-group-active-bg: var(--bs-primary-text-emphasis);--bs-list-group-active-border-color: var(--bs-primary-text-emphasis)}.list-group-item-secondary{--bs-list-group-color: var(--bs-secondary-text-emphasis);--bs-list-group-bg: var(--bs-secondary-bg-subtle);--bs-list-group-border-color: var(--bs-secondary-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-secondary-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-secondary-border-subtle);--bs-list-group-active-color: var(--bs-secondary-bg-subtle);--bs-list-group-active-bg: var(--bs-secondary-text-emphasis);--bs-list-group-active-border-color: var(--bs-secondary-text-emphasis)}.list-group-item-success{--bs-list-group-color: var(--bs-success-text-emphasis);--bs-list-group-bg: var(--bs-success-bg-subtle);--bs-list-group-border-color: var(--bs-success-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-success-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-success-border-subtle);--bs-list-group-active-color: var(--bs-success-bg-subtle);--bs-list-group-active-bg: var(--bs-success-text-emphasis);--bs-list-group-active-border-color: var(--bs-success-text-emphasis)}.list-group-item-info{--bs-list-group-color: var(--bs-info-text-emphasis);--bs-list-group-bg: var(--bs-info-bg-subtle);--bs-list-group-border-color: var(--bs-info-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-info-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-info-border-subtle);--bs-list-group-active-color: var(--bs-info-bg-subtle);--bs-list-group-active-bg: var(--bs-info-text-emphasis);--bs-list-group-active-border-color: var(--bs-info-text-emphasis)}.list-group-item-warning{--bs-list-group-color: var(--bs-warning-text-emphasis);--bs-list-group-bg: var(--bs-warning-bg-subtle);--bs-list-group-border-color: var(--bs-warning-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-warning-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-warning-border-subtle);--bs-list-group-active-color: var(--bs-warning-bg-subtle);--bs-list-group-active-bg: var(--bs-warning-text-emphasis);--bs-list-group-active-border-color: var(--bs-warning-text-emphasis)}.list-group-item-danger{--bs-list-group-color: var(--bs-danger-text-emphasis);--bs-list-group-bg: var(--bs-danger-bg-subtle);--bs-list-group-border-color: var(--bs-danger-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-danger-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-danger-border-subtle);--bs-list-group-active-color: var(--bs-danger-bg-subtle);--bs-list-group-active-bg: var(--bs-danger-text-emphasis);--bs-list-group-active-border-color: var(--bs-danger-text-emphasis)}.list-group-item-light{--bs-list-group-color: var(--bs-light-text-emphasis);--bs-list-group-bg: var(--bs-light-bg-subtle);--bs-list-group-border-color: var(--bs-light-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-light-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-light-border-subtle);--bs-list-group-active-color: var(--bs-light-bg-subtle);--bs-list-group-active-bg: var(--bs-light-text-emphasis);--bs-list-group-active-border-color: var(--bs-light-text-emphasis)}.list-group-item-dark{--bs-list-group-color: var(--bs-dark-text-emphasis);--bs-list-group-bg: var(--bs-dark-bg-subtle);--bs-list-group-border-color: var(--bs-dark-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-dark-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-dark-border-subtle);--bs-list-group-active-color: var(--bs-dark-bg-subtle);--bs-list-group-active-bg: var(--bs-dark-text-emphasis);--bs-list-group-active-border-color: var(--bs-dark-text-emphasis)}.btn-close{--bs-btn-close-color: #000;--bs-btn-close-bg: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' 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0.375rem;--bs-toast-box-shadow: 0 0.5rem 1rem rgba(0, 0, 0, 0.15);--bs-toast-header-color: rgba(33, 37, 41, 0.75);--bs-toast-header-bg: rgba(255, 255, 255, 0.85);--bs-toast-header-border-color: rgba(0, 0, 0, 0.175);width:var(--bs-toast-max-width);max-width:100%;font-size:var(--bs-toast-font-size);color:var(--bs-toast-color);pointer-events:auto;background-color:var(--bs-toast-bg);background-clip:padding-box;border:var(--bs-toast-border-width) solid var(--bs-toast-border-color);box-shadow:var(--bs-toast-box-shadow);border-radius:var(--bs-toast-border-radius)}.toast.showing{opacity:0}.toast:not(.show){display:none}.toast-container{--bs-toast-zindex: 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;--quarto-scss-export-dropdown-dark-link-color: #dee2e6;--quarto-scss-export-dropdown-dark-link-hover-color: #ffffff;--quarto-scss-export-dropdown-dark-link-hover-bg: rgba(255, 255, 255, 0.15);--quarto-scss-export-dropdown-dark-link-active-color: #ffffff;--quarto-scss-export-dropdown-dark-link-active-bg: #0d6efd;--quarto-scss-export-dropdown-dark-link-disabled-color: #adb5bd;--quarto-scss-export-dropdown-dark-header-color: #adb5bd;--quarto-scss-export-pagination-color: #0d6efd;--quarto-scss-export-pagination-bg: #ffffff;--quarto-scss-export-pagination-border-color: rgb(221.7, 222.3, 222.9);--quarto-scss-export-pagination-focus-color: rgb(10.4, 88, 202.4);--quarto-scss-export-pagination-focus-bg: #e9ecef;--quarto-scss-export-pagination-hover-color: rgb(10.4, 88, 202.4);--quarto-scss-export-pagination-hover-bg: #f8f9fa;--quarto-scss-export-pagination-hover-border-color: rgb(221.7, 222.3, 222.9);--quarto-scss-export-pagination-active-color: #ffffff;--quarto-scss-export-pagination-active-bg: #0d6efd;--quarto-scss-export-pagination-active-border-color: #0d6efd;--quarto-scss-export-pagination-disabled-color: rgba(33, 37, 41, 0.75);--quarto-scss-export-pagination-disabled-bg: #e9ecef;--quarto-scss-export-pagination-disabled-border-color: rgb(221.7, 222.3, 222.9);--quarto-scss-export-card-title-color: ;--quarto-scss-export-card-subtitle-color: ;--quarto-scss-export-card-border-color: rgba(0, 0, 0, 0.175);--quarto-scss-export-card-box-shadow: ;--quarto-scss-export-card-cap-bg: rgba(33, 37, 41, 0.03);--quarto-scss-export-card-cap-color: ;--quarto-scss-export-card-height: ;--quarto-scss-export-card-color: ;--quarto-scss-export-card-bg: #ffffff;--quarto-scss-export-accordion-color: #212529;--quarto-scss-export-accordion-bg: #ffffff;--quarto-scss-export-accordion-border-color: rgb(221.7, 222.3, 222.9);--quarto-scss-export-accordion-button-color: #212529;--quarto-scss-export-accordion-button-bg: #ffffff;--quarto-scss-export-accordion-button-active-bg: rgb(206.6, 226, 254.6);--quarto-scss-export-accordion-button-active-color: rgb(5.2, 44, 101.2);--quarto-scss-export-accordion-button-focus-border-color: rgb(134, 182.5, 254);--quarto-scss-export-accordion-icon-color: #212529;--quarto-scss-export-accordion-icon-active-color: rgb(5.2, 44, 101.2);--quarto-scss-export-tooltip-color: #ffffff;--quarto-scss-export-tooltip-bg: #000;--quarto-scss-export-tooltip-margin: ;--quarto-scss-export-tooltip-arrow-color: ;--quarto-scss-export-form-feedback-tooltip-line-height: ;--quarto-scss-export-popover-border-color: rgba(0, 0, 0, 0.175);--quarto-scss-export-popover-header-bg: #e9ecef;--quarto-scss-export-popover-body-color: #212529;--quarto-scss-export-popover-arrow-color: #ffffff;--quarto-scss-export-popover-arrow-outer-color: rgba(0, 0, 0, 0.175);--quarto-scss-export-toast-color: ;--quarto-scss-export-toast-background-color: rgba(255, 255, 255, 0.85);--quarto-scss-export-toast-border-color: rgba(0, 0, 0, 0.175);--quarto-scss-export-toast-header-color: rgba(33, 37, 41, 0.75);--quarto-scss-export-toast-header-background-color: rgba(255, 255, 255, 0.85);--quarto-scss-export-toast-header-border-color: rgba(0, 0, 0, 0.175);--quarto-scss-export-badge-color: #ffffff;--quarto-scss-export-modal-content-color: ;--quarto-scss-export-modal-content-bg: #ffffff;--quarto-scss-export-modal-content-border-color: rgba(0, 0, 0, 0.175);--quarto-scss-export-modal-backdrop-bg: #000;--quarto-scss-export-modal-header-border-color: rgb(221.7, 222.3, 222.9);--quarto-scss-export-modal-footer-bg: ;--quarto-scss-export-modal-footer-border-color: rgb(221.7, 222.3, 222.9);--quarto-scss-export-progress-bg: #e9ecef;--quarto-scss-export-progress-bar-color: #ffffff;--quarto-scss-export-progress-bar-bg: #0d6efd;--quarto-scss-export-list-group-color: #212529;--quarto-scss-export-list-group-bg: #ffffff;--quarto-scss-export-list-group-border-color: rgb(221.7, 222.3, 222.9);--quarto-scss-export-list-group-hover-bg: #f8f9fa;--quarto-scss-export-list-group-active-bg: #0d6efd;--quarto-scss-export-list-group-active-color: #ffffff;--quarto-scss-export-list-group-active-border-color: #0d6efd;--quarto-scss-export-list-group-disabled-color: rgba(33, 37, 41, 0.75);--quarto-scss-export-list-group-disabled-bg: #ffffff;--quarto-scss-export-list-group-action-color: rgba(33, 37, 41, 0.75);--quarto-scss-export-list-group-action-hover-color: #000;--quarto-scss-export-list-group-action-active-color: #212529;--quarto-scss-export-list-group-action-active-bg: #e9ecef;--quarto-scss-export-thumbnail-bg: #ffffff;--quarto-scss-export-thumbnail-border-color: rgb(221.7, 222.3, 222.9);--quarto-scss-export-figure-caption-color: rgba(33, 37, 41, 0.75);--quarto-scss-export-breadcrumb-font-size: ;--quarto-scss-export-breadcrumb-bg: ;--quarto-scss-export-breadcrumb-divider-color: rgba(33, 37, 41, 0.75);--quarto-scss-export-breadcrumb-active-color: rgba(33, 37, 41, 0.75);--quarto-scss-export-breadcrumb-border-radius: ;--quarto-scss-export-carousel-control-color: #ffffff;--quarto-scss-export-carousel-indicator-active-bg: #ffffff;--quarto-scss-export-carousel-caption-color: #ffffff;--quarto-scss-export-carousel-dark-indicator-active-bg: #000;--quarto-scss-export-carousel-dark-caption-color: #000;--quarto-scss-export-btn-close-color: #000;--quarto-scss-export-offcanvas-border-color: rgba(0, 0, 0, 0.175);--quarto-scss-export-offcanvas-bg-color: #ffffff;--quarto-scss-export-offcanvas-color: #212529;--quarto-scss-export-offcanvas-backdrop-bg: #000;--quarto-scss-export-code-color-dark: white;--quarto-scss-export-kbd-color: #ffffff;--quarto-scss-export-kbd-bg: #212529;--quarto-scss-export-nested-kbd-font-weight: ;--quarto-scss-export-pre-bg: #f8f9fa;--quarto-scss-export-pre-color: #000;--quarto-scss-export-bslib-page-sidebar-title-bg: #517699;--quarto-scss-export-bslib-page-sidebar-title-color: #ffffff;--quarto-scss-export-bslib-sidebar-bg: rgba(var(--bs-emphasis-color-rgb, 0, 0, 0), 0.05);--quarto-scss-export-bslib-sidebar-toggle-bg: rgba(var(--bs-emphasis-color-rgb, 0, 0, 0), 0.1);--quarto-scss-export-mermaid-bg-color: #ffffff;--quarto-scss-export-mermaid-edge-color: #6c757d;--quarto-scss-export-mermaid-node-fg-color: #212529;--quarto-scss-export-mermaid-fg-color: #212529;--quarto-scss-export-mermaid-fg-color--lighter: rgb(55.7432432432, 62.5, 69.2567567568);--quarto-scss-export-mermaid-fg-color--lightest: rgb(78.4864864865, 88, 97.5135135135);--quarto-scss-export-mermaid-label-bg-color: #ffffff;--quarto-scss-export-mermaid-label-fg-color: #0d6efd;--quarto-scss-export-mermaid-node-bg-color: rgba(13, 110, 253, 0.1);--quarto-scss-export-code-block-border-left-color: rgb(221.7, 222.3, 222.9);--quarto-scss-export-callout-color-note: #0d6efd;--quarto-scss-export-callout-color-tip: #198754;--quarto-scss-export-callout-color-important: #dc3545;--quarto-scss-export-callout-color-caution: 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J,Z="x"===y?zt:Vt,tt="x"===y?Rt:qt,et=A[w],it="y"===w?"height":"width",nt=et+g[Z],st=et-g[tt],ot=-1!==[zt,Vt].indexOf(_),rt=null!=(J=null==x?void 0:x[w])?J:0,at=ot?nt:et-E[it]-T[it]-rt+O.altAxis,lt=ot?et+E[it]+T[it]-rt-O.altAxis:st,ct=f&&ot?function(t,e,i){var n=Ne(t,e,i);return n>i?i:n}(at,et,lt):Ne(f?at:nt,et,f?lt:st);A[w]=ct,k[w]=ct-et}e.modifiersData[n]=k}},requiresIfExists:["offset"]};function di(t,e,i){void 0===i&&(i=!1);var n,s,o=me(e),r=me(e)&&function(t){var e=t.getBoundingClientRect(),i=we(e.width)/t.offsetWidth||1,n=we(e.height)/t.offsetHeight||1;return 1!==i||1!==n}(e),a=Le(e),l=Te(t,r,i),c={scrollLeft:0,scrollTop:0},h={x:0,y:0};return(o||!o&&!i)&&(("body"!==ue(e)||Ue(a))&&(c=(n=e)!==fe(n)&&me(n)?{scrollLeft:(s=n).scrollLeft,scrollTop:s.scrollTop}:Xe(n)),me(e)?((h=Te(e,!0)).x+=e.clientLeft,h.y+=e.clientTop):a&&(h.x=Ye(a))),{x:l.left+c.scrollLeft-h.x,y:l.top+c.scrollTop-h.y,width:l.width,height:l.height}}function ui(t){var e=new Map,i=new Set,n=[];function s(t){i.add(t.name),[].concat(t.requires||[],t.requiresIfExists||[]).forEach((function(t){if(!i.has(t)){var n=e.get(t);n&&s(n)}})),n.push(t)}return t.forEach((function(t){e.set(t.name,t)})),t.forEach((function(t){i.has(t.name)||s(t)})),n}var fi={placement:"bottom",modifiers:[],strategy:"absolute"};function pi(){for(var t=arguments.length,e=new Array(t),i=0;iNumber.parseInt(t,10))):"function"==typeof t?e=>t(e,this._element):t}_getPopperConfig(){const t={placement:this._getPlacement(),modifiers:[{name:"preventOverflow",options:{boundary:this._config.boundary}},{name:"offset",options:{offset:this._getOffset()}}]};return(this._inNavbar||"static"===this._config.display)&&(F.setDataAttribute(this._menu,"popper","static"),t.modifiers=[{name:"applyStyles",enabled:!1}]),{...t,...g(this._config.popperConfig,[t])}}_selectMenuItem({key:t,target:e}){const i=z.find(".dropdown-menu 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e=/input|textarea/i.test(t.target.tagName),i="Escape"===t.key,n=[Ei,Ti].includes(t.key);if(!n&&!i)return;if(e&&!i)return;t.preventDefault();const s=this.matches(Ii)?this:z.prev(this,Ii)[0]||z.next(this,Ii)[0]||z.findOne(Ii,t.delegateTarget.parentNode),o=qi.getOrCreateInstance(s);if(n)return t.stopPropagation(),o.show(),void o._selectMenuItem(t);o._isShown()&&(t.stopPropagation(),o.hide(),s.focus())}}N.on(document,Si,Ii,qi.dataApiKeydownHandler),N.on(document,Si,Pi,qi.dataApiKeydownHandler),N.on(document,Li,qi.clearMenus),N.on(document,Di,qi.clearMenus),N.on(document,Li,Ii,(function(t){t.preventDefault(),qi.getOrCreateInstance(this).toggle()})),m(qi);const Vi="backdrop",Ki="show",Qi=`mousedown.bs.${Vi}`,Xi={className:"modal-backdrop",clickCallback:null,isAnimated:!1,isVisible:!0,rootElement:"body"},Yi={className:"string",clickCallback:"(function|null)",isAnimated:"boolean",isVisible:"boolean",rootElement:"(element|string)"};class Ui extends H{constructor(t){super(),this._config=this._getConfig(t),this._isAppended=!1,this._element=null}static get Default(){return Xi}static get DefaultType(){return Yi}static get NAME(){return Vi}show(t){if(!this._config.isVisible)return void g(t);this._append();const e=this._getElement();this._config.isAnimated&&d(e),e.classList.add(Ki),this._emulateAnimation((()=>{g(t)}))}hide(t){this._config.isVisible?(this._getElement().classList.remove(Ki),this._emulateAnimation((()=>{this.dispose(),g(t)}))):g(t)}dispose(){this._isAppended&&(N.off(this._element,Qi),this._element.remove(),this._isAppended=!1)}_getElement(){if(!this._element){const t=document.createElement("div");t.className=this._config.className,this._config.isAnimated&&t.classList.add("fade"),this._element=t}return this._element}_configAfterMerge(t){return t.rootElement=r(t.rootElement),t}_append(){if(this._isAppended)return;const t=this._getElement();this._config.rootElement.append(t),N.on(t,Qi,(()=>{g(this._config.clickCallback)})),this._isAppended=!0}_emulateAnimation(t){_(t,this._getElement(),this._config.isAnimated)}}const Gi=".bs.focustrap",Ji=`focusin${Gi}`,Zi=`keydown.tab${Gi}`,tn="backward",en={autofocus:!0,trapElement:null},nn={autofocus:"boolean",trapElement:"element"};class sn extends H{constructor(t){super(),this._config=this._getConfig(t),this._isActive=!1,this._lastTabNavDirection=null}static get Default(){return en}static get DefaultType(){return nn}static get NAME(){return"focustrap"}activate(){this._isActive||(this._config.autofocus&&this._config.trapElement.focus(),N.off(document,Gi),N.on(document,Ji,(t=>this._handleFocusin(t))),N.on(document,Zi,(t=>this._handleKeydown(t))),this._isActive=!0)}deactivate(){this._isActive&&(this._isActive=!1,N.off(document,Gi))}_handleFocusin(t){const{trapElement:e}=this._config;if(t.target===document||t.target===e||e.contains(t.target))return;const i=z.focusableChildren(e);0===i.length?e.focus():this._lastTabNavDirection===tn?i[i.length-1].focus():i[0].focus()}_handleKeydown(t){"Tab"===t.key&&(this._lastTabNavDirection=t.shiftKey?tn:"forward")}}const on=".fixed-top, .fixed-bottom, .is-fixed, .sticky-top",rn=".sticky-top",an="padding-right",ln="margin-right";class cn{constructor(){this._element=document.body}getWidth(){const t=document.documentElement.clientWidth;return Math.abs(window.innerWidth-t)}hide(){const t=this.getWidth();this._disableOverFlow(),this._setElementAttributes(this._element,an,(e=>e+t)),this._setElementAttributes(on,an,(e=>e+t)),this._setElementAttributes(rn,ln,(e=>e-t))}reset(){this._resetElementAttributes(this._element,"overflow"),this._resetElementAttributes(this._element,an),this._resetElementAttributes(on,an),this._resetElementAttributes(rn,ln)}isOverflowing(){return this.getWidth()>0}_disableOverFlow(){this._saveInitialAttribute(this._element,"overflow"),this._element.style.overflow="hidden"}_setElementAttributes(t,e,i){const n=this.getWidth();this._applyManipulationCallback(t,(t=>{if(t!==this._element&&window.innerWidth>t.clientWidth+n)return;this._saveInitialAttribute(t,e);const s=window.getComputedStyle(t).getPropertyValue(e);t.style.setProperty(e,`${i(Number.parseFloat(s))}px`)}))}_saveInitialAttribute(t,e){const i=t.style.getPropertyValue(e);i&&F.setDataAttribute(t,e,i)}_resetElementAttributes(t,e){this._applyManipulationCallback(t,(t=>{const i=F.getDataAttribute(t,e);null!==i?(F.removeDataAttribute(t,e),t.style.setProperty(e,i)):t.style.removeProperty(e)}))}_applyManipulationCallback(t,e){if(o(t))e(t);else for(const i of z.find(t,this._element))e(i)}}const hn=".bs.modal",dn=`hide${hn}`,un=`hidePrevented${hn}`,fn=`hidden${hn}`,pn=`show${hn}`,mn=`shown${hn}`,gn=`resize${hn}`,_n=`click.dismiss${hn}`,bn=`mousedown.dismiss${hn}`,vn=`keydown.dismiss${hn}`,yn=`click${hn}.data-api`,wn="modal-open",An="show",En="modal-static",Tn={backdrop:!0,focus:!0,keyboard:!0},Cn={backdrop:"(boolean|string)",focus:"boolean",keyboard:"boolean"};class On extends W{constructor(t,e){super(t,e),this._dialog=z.findOne(".modal-dialog",this._element),this._backdrop=this._initializeBackDrop(),this._focustrap=this._initializeFocusTrap(),this._isShown=!1,this._isTransitioning=!1,this._scrollBar=new cn,this._addEventListeners()}static get Default(){return Tn}static get DefaultType(){return Cn}static get NAME(){return"modal"}toggle(t){return this._isShown?this.hide():this.show(t)}show(t){this._isShown||this._isTransitioning||N.trigger(this._element,pn,{relatedTarget:t}).defaultPrevented||(this._isShown=!0,this._isTransitioning=!0,this._scrollBar.hide(),document.body.classList.add(wn),this._adjustDialog(),this._backdrop.show((()=>this._showElement(t))))}hide(){this._isShown&&!this._isTransitioning&&(N.trigger(this._element,dn).defaultPrevented||(this._isShown=!1,this._isTransitioning=!0,this._focustrap.deactivate(),this._element.classList.remove(An),this._queueCallback((()=>this._hideModal()),this._element,this._isAnimated())))}dispose(){N.off(window,hn),N.off(this._dialog,hn),this._backdrop.dispose(),this._focustrap.deactivate(),super.dispose()}handleUpdate(){this._adjustDialog()}_initializeBackDrop(){return new Ui({isVisible:Boolean(this._config.backdrop),isAnimated:this._isAnimated()})}_initializeFocusTrap(){return new sn({trapElement:this._element})}_showElement(t){document.body.contains(this._element)||document.body.append(this._element),this._element.style.display="block",this._element.removeAttribute("aria-hidden"),this._element.setAttribute("aria-modal",!0),this._element.setAttribute("role","dialog"),this._element.scrollTop=0;const e=z.findOne(".modal-body",this._dialog);e&&(e.scrollTop=0),d(this._element),this._element.classList.add(An),this._queueCallback((()=>{this._config.focus&&this._focustrap.activate(),this._isTransitioning=!1,N.trigger(this._element,mn,{relatedTarget:t})}),this._dialog,this._isAnimated())}_addEventListeners(){N.on(this._element,vn,(t=>{"Escape"===t.key&&(this._config.keyboard?this.hide():this._triggerBackdropTransition())})),N.on(window,gn,(()=>{this._isShown&&!this._isTransitioning&&this._adjustDialog()})),N.on(this._element,bn,(t=>{N.one(this._element,_n,(e=>{this._element===t.target&&this._element===e.target&&("static"!==this._config.backdrop?this._config.backdrop&&this.hide():this._triggerBackdropTransition())}))}))}_hideModal(){this._element.style.display="none",this._element.setAttribute("aria-hidden",!0),this._element.removeAttribute("aria-modal"),this._element.removeAttribute("role"),this._isTransitioning=!1,this._backdrop.hide((()=>{document.body.classList.remove(wn),this._resetAdjustments(),this._scrollBar.reset(),N.trigger(this._element,fn)}))}_isAnimated(){return this._element.classList.contains("fade")}_triggerBackdropTransition(){if(N.trigger(this._element,un).defaultPrevented)return;const t=this._element.scrollHeight>document.documentElement.clientHeight,e=this._element.style.overflowY;"hidden"===e||this._element.classList.contains(En)||(t||(this._element.style.overflowY="hidden"),this._element.classList.add(En),this._queueCallback((()=>{this._element.classList.remove(En),this._queueCallback((()=>{this._element.style.overflowY=e}),this._dialog)}),this._dialog),this._element.focus())}_adjustDialog(){const t=this._element.scrollHeight>document.documentElement.clientHeight,e=this._scrollBar.getWidth(),i=e>0;if(i&&!t){const t=p()?"paddingLeft":"paddingRight";this._element.style[t]=`${e}px`}if(!i&&t){const t=p()?"paddingRight":"paddingLeft";this._element.style[t]=`${e}px`}}_resetAdjustments(){this._element.style.paddingLeft="",this._element.style.paddingRight=""}static jQueryInterface(t,e){return this.each((function(){const i=On.getOrCreateInstance(this,t);if("string"==typeof t){if(void 0===i[t])throw new TypeError(`No method named "${t}"`);i[t](e)}}))}}N.on(document,yn,'[data-bs-toggle="modal"]',(function(t){const e=z.getElementFromSelector(this);["A","AREA"].includes(this.tagName)&&t.preventDefault(),N.one(e,pn,(t=>{t.defaultPrevented||N.one(e,fn,(()=>{a(this)&&this.focus()}))}));const i=z.findOne(".modal.show");i&&On.getInstance(i).hide(),On.getOrCreateInstance(e).toggle(this)})),R(On),m(On);const xn=".bs.offcanvas",kn=".data-api",Ln=`load${xn}${kn}`,Sn="show",Dn="showing",$n="hiding",In=".offcanvas.show",Nn=`show${xn}`,Pn=`shown${xn}`,Mn=`hide${xn}`,jn=`hidePrevented${xn}`,Fn=`hidden${xn}`,Hn=`resize${xn}`,Wn=`click${xn}${kn}`,Bn=`keydown.dismiss${xn}`,zn={backdrop:!0,keyboard:!0,scroll:!1},Rn={backdrop:"(boolean|string)",keyboard:"boolean",scroll:"boolean"};class qn extends W{constructor(t,e){super(t,e),this._isShown=!1,this._backdrop=this._initializeBackDrop(),this._focustrap=this._initializeFocusTrap(),this._addEventListeners()}static get Default(){return zn}static get DefaultType(){return Rn}static get NAME(){return"offcanvas"}toggle(t){return this._isShown?this.hide():this.show(t)}show(t){this._isShown||N.trigger(this._element,Nn,{relatedTarget:t}).defaultPrevented||(this._isShown=!0,this._backdrop.show(),this._config.scroll||(new cn).hide(),this._element.setAttribute("aria-modal",!0),this._element.setAttribute("role","dialog"),this._element.classList.add(Dn),this._queueCallback((()=>{this._config.scroll&&!this._config.backdrop||this._focustrap.activate(),this._element.classList.add(Sn),this._element.classList.remove(Dn),N.trigger(this._element,Pn,{relatedTarget:t})}),this._element,!0))}hide(){this._isShown&&(N.trigger(this._element,Mn).defaultPrevented||(this._focustrap.deactivate(),this._element.blur(),this._isShown=!1,this._element.classList.add($n),this._backdrop.hide(),this._queueCallback((()=>{this._element.classList.remove(Sn,$n),this._element.removeAttribute("aria-modal"),this._element.removeAttribute("role"),this._config.scroll||(new cn).reset(),N.trigger(this._element,Fn)}),this._element,!0)))}dispose(){this._backdrop.dispose(),this._focustrap.deactivate(),super.dispose()}_initializeBackDrop(){const t=Boolean(this._config.backdrop);return new Ui({className:"offcanvas-backdrop",isVisible:t,isAnimated:!0,rootElement:this._element.parentNode,clickCallback:t?()=>{"static"!==this._config.backdrop?this.hide():N.trigger(this._element,jn)}:null})}_initializeFocusTrap(){return new sn({trapElement:this._element})}_addEventListeners(){N.on(this._element,Bn,(t=>{"Escape"===t.key&&(this._config.keyboard?this.hide():N.trigger(this._element,jn))}))}static jQueryInterface(t){return this.each((function(){const e=qn.getOrCreateInstance(this,t);if("string"==typeof t){if(void 0===e[t]||t.startsWith("_")||"constructor"===t)throw new TypeError(`No method named "${t}"`);e[t](this)}}))}}N.on(document,Wn,'[data-bs-toggle="offcanvas"]',(function(t){const e=z.getElementFromSelector(this);if(["A","AREA"].includes(this.tagName)&&t.preventDefault(),l(this))return;N.one(e,Fn,(()=>{a(this)&&this.focus()}));const i=z.findOne(In);i&&i!==e&&qn.getInstance(i).hide(),qn.getOrCreateInstance(e).toggle(this)})),N.on(window,Ln,(()=>{for(const t of z.find(In))qn.getOrCreateInstance(t).show()})),N.on(window,Hn,(()=>{for(const t of z.find("[aria-modal][class*=show][class*=offcanvas-]"))"fixed"!==getComputedStyle(t).position&&qn.getOrCreateInstance(t).hide()})),R(qn),m(qn);const Vn={"*":["class","dir","id","lang","role",/^aria-[\w-]*$/i],a:["target","href","title","rel"],area:[],b:[],br:[],col:[],code:[],div:[],em:[],hr:[],h1:[],h2:[],h3:[],h4:[],h5:[],h6:[],i:[],img:["src","srcset","alt","title","width","height"],li:[],ol:[],p:[],pre:[],s:[],small:[],span:[],sub:[],sup:[],strong:[],u:[],ul:[]},Kn=new Set(["background","cite","href","itemtype","longdesc","poster","src","xlink:href"]),Qn=/^(?!javascript:)(?:[a-z0-9+.-]+:|[^&:/?#]*(?:[/?#]|$))/i,Xn=(t,e)=>{const i=t.nodeName.toLowerCase();return e.includes(i)?!Kn.has(i)||Boolean(Qn.test(t.nodeValue)):e.filter((t=>t instanceof RegExp)).some((t=>t.test(i)))},Yn={allowList:Vn,content:{},extraClass:"",html:!1,sanitize:!0,sanitizeFn:null,template:"
"},Un={allowList:"object",content:"object",extraClass:"(string|function)",html:"boolean",sanitize:"boolean",sanitizeFn:"(null|function)",template:"string"},Gn={entry:"(string|element|function|null)",selector:"(string|element)"};class Jn extends H{constructor(t){super(),this._config=this._getConfig(t)}static get Default(){return Yn}static get DefaultType(){return Un}static get NAME(){return"TemplateFactory"}getContent(){return Object.values(this._config.content).map((t=>this._resolvePossibleFunction(t))).filter(Boolean)}hasContent(){return this.getContent().length>0}changeContent(t){return this._checkContent(t),this._config.content={...this._config.content,...t},this}toHtml(){const t=document.createElement("div");t.innerHTML=this._maybeSanitize(this._config.template);for(const[e,i]of Object.entries(this._config.content))this._setContent(t,i,e);const e=t.children[0],i=this._resolvePossibleFunction(this._config.extraClass);return i&&e.classList.add(...i.split(" ")),e}_typeCheckConfig(t){super._typeCheckConfig(t),this._checkContent(t.content)}_checkContent(t){for(const[e,i]of Object.entries(t))super._typeCheckConfig({selector:e,entry:i},Gn)}_setContent(t,e,i){const n=z.findOne(i,t);n&&((e=this._resolvePossibleFunction(e))?o(e)?this._putElementInTemplate(r(e),n):this._config.html?n.innerHTML=this._maybeSanitize(e):n.textContent=e:n.remove())}_maybeSanitize(t){return this._config.sanitize?function(t,e,i){if(!t.length)return t;if(i&&"function"==typeof i)return i(t);const n=(new window.DOMParser).parseFromString(t,"text/html"),s=[].concat(...n.body.querySelectorAll("*"));for(const t of s){const i=t.nodeName.toLowerCase();if(!Object.keys(e).includes(i)){t.remove();continue}const n=[].concat(...t.attributes),s=[].concat(e["*"]||[],e[i]||[]);for(const e of n)Xn(e,s)||t.removeAttribute(e.nodeName)}return n.body.innerHTML}(t,this._config.allowList,this._config.sanitizeFn):t}_resolvePossibleFunction(t){return g(t,[this])}_putElementInTemplate(t,e){if(this._config.html)return e.innerHTML="",void e.append(t);e.textContent=t.textContent}}const Zn=new Set(["sanitize","allowList","sanitizeFn"]),ts="fade",es="show",is=".modal",ns="hide.bs.modal",ss="hover",os="focus",rs={AUTO:"auto",TOP:"top",RIGHT:p()?"left":"right",BOTTOM:"bottom",LEFT:p()?"right":"left"},as={allowList:Vn,animation:!0,boundary:"clippingParents",container:!1,customClass:"",delay:0,fallbackPlacements:["top","right","bottom","left"],html:!1,offset:[0,6],placement:"top",popperConfig:null,sanitize:!0,sanitizeFn:null,selector:!1,template:'',title:"",trigger:"hover focus"},ls={allowList:"object",animation:"boolean",boundary:"(string|element)",container:"(string|element|boolean)",customClass:"(string|function)",delay:"(number|object)",fallbackPlacements:"array",html:"boolean",offset:"(array|string|function)",placement:"(string|function)",popperConfig:"(null|object|function)",sanitize:"boolean",sanitizeFn:"(null|function)",selector:"(string|boolean)",template:"string",title:"(string|element|function)",trigger:"string"};class cs extends W{constructor(t,e){if(void 0===vi)throw new TypeError("Bootstrap's tooltips require Popper (https://popper.js.org)");super(t,e),this._isEnabled=!0,this._timeout=0,this._isHovered=null,this._activeTrigger={},this._popper=null,this._templateFactory=null,this._newContent=null,this.tip=null,this._setListeners(),this._config.selector||this._fixTitle()}static get Default(){return as}static get DefaultType(){return ls}static get 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Error("report() is an abstract method"); + } +} + +class QuartoAxeJsonReporter extends QuartoAxeReporter { + constructor(axeResult, options) { + super(axeResult, options); + } + + report() { + console.log(JSON.stringify(this.axeResult, null, 2)); + } +} + +class QuartoAxeConsoleReporter extends QuartoAxeReporter { + constructor(axeResult, options) { + super(axeResult, options); + } + + report() { + for (const violation of this.axeResult.violations) { + console.log(violation.description); + for (const node of violation.nodes) { + for (const target of node.target) { + console.log(target); + console.log(document.querySelector(target)); + } + } + } + } +} + +class QuartoAxeDocumentReporter extends QuartoAxeReporter { + constructor(axeResult, options) { + super(axeResult, options); + } + + createViolationElement(violation) { + const violationElement = document.createElement("div"); + + const descriptionElement = document.createElement("div"); + descriptionElement.className = "quarto-axe-violation-description"; + descriptionElement.innerText = `${violation.impact.replace(/^[a-z]/, match => match.toLocaleUpperCase())}: ${violation.description}`; + violationElement.appendChild(descriptionElement); + + const helpElement = document.createElement("div"); + helpElement.className = "quarto-axe-violation-help"; + helpElement.innerText = violation.help; + violationElement.appendChild(helpElement); + + const nodesElement = document.createElement("div"); + nodesElement.className = "quarto-axe-violation-nodes"; + violationElement.appendChild(nodesElement); + const nodeElement = document.createElement("div"); + nodeElement.className = "quarto-axe-violation-selector"; + for (const node of violation.nodes) { + for (const target of node.target) { + const targetElement = document.createElement("span"); + targetElement.className = "quarto-axe-violation-target"; + targetElement.innerText = target; + nodeElement.appendChild(targetElement); + nodeElement.addEventListener("mouseenter", () => { + const element = document.querySelector(target); + if (element) { + element.scrollIntoView({ behavior: "smooth", block: "center" }); + element.classList.add("quarto-axe-hover-highlight"); + setTimeout(() => { + element.style.border = ""; + }, 2000); + } + }); + nodeElement.addEventListener("mouseleave", () => { + const element = document.querySelector(target); + if (element) { + element.classList.remove("quarto-axe-hover-highlight"); + } + }); + nodeElement.addEventListener("click", () => { + console.log(document.querySelector(target)); + }); + nodeElement.appendChild(targetElement); + } + nodesElement.appendChild(nodeElement); + } + return violationElement; + } + + report() { + const violations = this.axeResult.violations; + const reportElement = document.createElement("div"); + reportElement.className = "quarto-axe-report"; + if (violations.length === 0) { + const noViolationsElement = document.createElement("div"); + noViolationsElement.className = "quarto-axe-no-violations"; + noViolationsElement.innerText = "No axe-core violations found."; + reportElement.appendChild(noViolationsElement); + } + violations.forEach((violation) => { + reportElement.appendChild(this.createViolationElement(violation)); + }); + document.querySelector("main").appendChild(reportElement); + } +} + +const reporters = { + json: QuartoAxeJsonReporter, + console: QuartoAxeConsoleReporter, + document: QuartoAxeDocumentReporter, +}; + +class QuartoAxeChecker { + constructor(opts) { + this.options = opts; + } + async init() { + const axe = (await import("https://cdn.skypack.dev/pin/axe-core@v4.10.3-aVOFXWsJaCpVrtv89pCa/mode=imports,min/optimized/axe-core.js")).default; + const result = await axe.run({ + exclude: [ + // https://github.com/microsoft/tabster/issues/288 + // MS has claimed they won't fix this, so we need to add an exclusion to + // all tabster elements + "[data-tabster-dummy]" + ], + preload: { assets: ['cssom'], timeout: 50000 } + }); + const reporter = this.options === true ? new QuartoAxeConsoleReporter(result) : new reporters[this.options.output](result, this.options); + reporter.report(); + } +} + +export async function init() { + const opts = document.querySelector("#quarto-axe-checker-options"); + if (opts) { + const jsonOptions = JSON.parse(atob(opts.textContent)); + const checker = new QuartoAxeChecker(jsonOptions); + await checker.init(); + } +} \ No newline at end of file diff --git a/02_activities/assignments/assignment_1_files/libs/quarto-html/popper.min.js b/02_activities/assignments/assignment_1_files/libs/quarto-html/popper.min.js new file mode 100644 index 0000000..e3726d7 --- /dev/null +++ b/02_activities/assignments/assignment_1_files/libs/quarto-html/popper.min.js @@ -0,0 +1,6 @@ +/** + * @popperjs/core v2.11.7 - MIT License + */ + +!function(e,t){"object"==typeof exports&&"undefined"!=typeof module?t(exports):"function"==typeof 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b/02_activities/assignments/assignment_1_files/libs/quarto-html/quarto-syntax-highlighting-ed96de9b727972fe78a7b5d16c58bf87.css new file mode 100644 index 0000000..7bb4f73 --- /dev/null +++ b/02_activities/assignments/assignment_1_files/libs/quarto-html/quarto-syntax-highlighting-ed96de9b727972fe78a7b5d16c58bf87.css @@ -0,0 +1,236 @@ +/* quarto syntax highlight colors */ +:root { + --quarto-hl-ot-color: #003B4F; + --quarto-hl-at-color: #657422; + --quarto-hl-ss-color: #20794D; + --quarto-hl-an-color: #5E5E5E; + --quarto-hl-fu-color: #4758AB; + --quarto-hl-st-color: #20794D; + --quarto-hl-cf-color: #003B4F; + --quarto-hl-op-color: #5E5E5E; + --quarto-hl-er-color: #AD0000; + --quarto-hl-bn-color: #AD0000; + --quarto-hl-al-color: #AD0000; + --quarto-hl-va-color: #111111; + --quarto-hl-bu-color: inherit; + --quarto-hl-ex-color: inherit; + --quarto-hl-pp-color: #AD0000; + --quarto-hl-in-color: #5E5E5E; + --quarto-hl-vs-color: #20794D; + --quarto-hl-wa-color: #5E5E5E; + --quarto-hl-do-color: #5E5E5E; + --quarto-hl-im-color: #00769E; + --quarto-hl-ch-color: #20794D; + --quarto-hl-dt-color: #AD0000; + --quarto-hl-fl-color: #AD0000; + --quarto-hl-co-color: #5E5E5E; + --quarto-hl-cv-color: #5E5E5E; + --quarto-hl-cn-color: #8f5902; + --quarto-hl-sc-color: #5E5E5E; + --quarto-hl-dv-color: #AD0000; + --quarto-hl-kw-color: #003B4F; +} + +/* other quarto variables */ +:root { + --quarto-font-monospace: SFMono-Regular, Menlo, Monaco, Consolas, "Liberation Mono", "Courier New", monospace; +} + +/* syntax highlight based on Pandoc's rules */ +pre > code.sourceCode > span { + color: #003B4F; +} + +code.sourceCode > span { + color: #003B4F; +} + +div.sourceCode, +div.sourceCode pre.sourceCode { + color: #003B4F; +} + +/* Normal */ +code span { + color: #003B4F; +} + +/* Alert */ +code span.al { + color: #AD0000; + font-style: inherit; +} + +/* Annotation */ +code span.an { + color: #5E5E5E; + font-style: inherit; +} + +/* Attribute */ +code span.at { + color: #657422; + font-style: inherit; +} + +/* BaseN */ +code span.bn { + color: #AD0000; + font-style: inherit; +} + +/* BuiltIn */ +code span.bu { + font-style: inherit; +} + +/* ControlFlow */ +code span.cf { + color: #003B4F; + font-weight: bold; + font-style: inherit; +} + +/* Char */ +code span.ch { + color: #20794D; + font-style: inherit; +} + +/* Constant */ +code span.cn { + color: #8f5902; + font-style: inherit; +} + +/* Comment */ +code span.co { + color: #5E5E5E; + font-style: inherit; +} + +/* CommentVar */ +code span.cv { + color: #5E5E5E; + font-style: italic; +} + +/* Documentation */ +code span.do { + color: #5E5E5E; + font-style: italic; +} + +/* DataType */ +code span.dt { + color: #AD0000; + font-style: inherit; +} + +/* DecVal */ +code span.dv { + color: #AD0000; + font-style: inherit; +} + +/* Error */ +code span.er { + color: #AD0000; + font-style: inherit; +} + +/* Extension */ +code span.ex { + font-style: inherit; +} + +/* Float */ +code span.fl { + color: #AD0000; + font-style: inherit; +} + +/* Function */ +code span.fu { + color: #4758AB; + font-style: inherit; +} + +/* Import */ +code span.im { + color: #00769E; + font-style: inherit; +} + +/* Information */ +code span.in { + color: #5E5E5E; + font-style: inherit; +} + +/* Keyword */ +code span.kw { + color: #003B4F; + font-weight: bold; + font-style: inherit; +} + +/* Operator */ +code span.op { + color: #5E5E5E; + font-style: inherit; +} + +/* Other */ +code span.ot { + color: #003B4F; + font-style: inherit; +} + +/* Preprocessor */ +code span.pp { + color: #AD0000; + font-style: inherit; +} + +/* SpecialChar */ +code span.sc { + color: #5E5E5E; + font-style: inherit; +} + +/* SpecialString */ +code span.ss { + color: #20794D; + font-style: inherit; +} + +/* String */ +code span.st { + color: #20794D; + font-style: inherit; +} + +/* Variable */ +code span.va { + color: #111111; + font-style: inherit; +} + +/* VerbatimString */ +code span.vs { + color: #20794D; + font-style: inherit; +} + +/* Warning */ +code span.wa { + color: #5E5E5E; + font-style: italic; +} + +.prevent-inlining { + content: " { + // Find any conflicting margin elements and add margins to the + // top to prevent overlap + const marginChildren = window.document.querySelectorAll( + ".column-margin.column-container > *, .margin-caption, .aside" + ); + + let lastBottom = 0; + for (const marginChild of marginChildren) { + if (marginChild.offsetParent !== null) { + // clear the top margin so we recompute it + marginChild.style.marginTop = null; + const top = marginChild.getBoundingClientRect().top + window.scrollY; + if (top < lastBottom) { + const marginChildStyle = window.getComputedStyle(marginChild); + const marginBottom = parseFloat(marginChildStyle["marginBottom"]); + const margin = lastBottom - top + marginBottom; + marginChild.style.marginTop = `${margin}px`; + } + const styles = window.getComputedStyle(marginChild); + const marginTop = parseFloat(styles["marginTop"]); + lastBottom = top + marginChild.getBoundingClientRect().height + marginTop; + } + } +}; + +window.document.addEventListener("DOMContentLoaded", function (_event) { + // Recompute the position of margin elements anytime the body size changes + if (window.ResizeObserver) { + const resizeObserver = new window.ResizeObserver( + throttle(() => { + layoutMarginEls(); + if ( + window.document.body.getBoundingClientRect().width < 990 && + isReaderMode() + ) { + quartoToggleReader(); + } + }, 50) + ); + resizeObserver.observe(window.document.body); + } + + const tocEl = window.document.querySelector('nav.toc-active[role="doc-toc"]'); + const sidebarEl = window.document.getElementById("quarto-sidebar"); + const leftTocEl = window.document.getElementById("quarto-sidebar-toc-left"); + const marginSidebarEl = window.document.getElementById( + "quarto-margin-sidebar" + ); + // function to determine whether the element has a previous sibling that is active + const prevSiblingIsActiveLink = (el) => { + const sibling = el.previousElementSibling; + if (sibling && sibling.tagName === "A") { + return sibling.classList.contains("active"); + } else { + return false; + } + }; + + // dispatch for htmlwidgets + // they use slideenter event to trigger resize + function fireSlideEnter() { + const event = window.document.createEvent("Event"); + event.initEvent("slideenter", true, true); + window.document.dispatchEvent(event); + } + + const tabs = window.document.querySelectorAll('a[data-bs-toggle="tab"]'); + tabs.forEach((tab) => { + tab.addEventListener("shown.bs.tab", fireSlideEnter); + }); + + // dispatch for shiny + // they use BS shown and hidden events to trigger rendering + function distpatchShinyEvents(previous, current) { + if (window.jQuery) { + if (previous) { + window.jQuery(previous).trigger("hidden"); + } + if (current) { + window.jQuery(current).trigger("shown"); + } + } + } + + // tabby.js listener: Trigger event for htmlwidget and shiny + document.addEventListener( + "tabby", + function (event) { + fireSlideEnter(); + distpatchShinyEvents(event.detail.previousTab, event.detail.tab); + }, + false + ); + + // Track scrolling and mark TOC links as active + // get table of contents and sidebar (bail if we don't have at least one) + const tocLinks = tocEl + ? [...tocEl.querySelectorAll("a[data-scroll-target]")] + : []; + const makeActive = (link) => tocLinks[link].classList.add("active"); + const removeActive = (link) => tocLinks[link].classList.remove("active"); + const removeAllActive = () => + [...Array(tocLinks.length).keys()].forEach((link) => removeActive(link)); + + // activate the anchor for a section associated with this TOC entry + tocLinks.forEach((link) => { + link.addEventListener("click", () => { + if (link.href.indexOf("#") !== -1) { + const anchor = link.href.split("#")[1]; + const heading = window.document.querySelector( + `[data-anchor-id="${anchor}"]` + ); + if (heading) { + // Add the class + heading.classList.add("reveal-anchorjs-link"); + + // function to show the anchor + const handleMouseout = () => { + heading.classList.remove("reveal-anchorjs-link"); + heading.removeEventListener("mouseout", handleMouseout); + }; + + // add a function to clear the anchor when the user mouses out of it + heading.addEventListener("mouseout", handleMouseout); + } + } + }); + }); + + const sections = tocLinks.map((link) => { + const target = link.getAttribute("data-scroll-target"); + if (target.startsWith("#")) { + return window.document.getElementById(decodeURI(`${target.slice(1)}`)); + } else { + return window.document.querySelector(decodeURI(`${target}`)); + } + }); + + const sectionMargin = 200; + let currentActive = 0; + // track whether we've initialized state the first time + let init = false; + + const updateActiveLink = () => { + // The index from bottom to top (e.g. reversed list) + let sectionIndex = -1; + if ( + window.innerHeight + window.pageYOffset >= + window.document.body.offsetHeight + ) { + // This is the no-scroll case where last section should be the active one + sectionIndex = 0; + } else { + // This finds the last section visible on screen that should be made active + sectionIndex = [...sections].reverse().findIndex((section) => { + if (section) { + return window.pageYOffset >= section.offsetTop - sectionMargin; + } else { + return false; + } + }); + } + if (sectionIndex > -1) { + const current = sections.length - sectionIndex - 1; + if (current !== currentActive) { + removeAllActive(); + currentActive = current; + makeActive(current); + if (init) { + window.dispatchEvent(sectionChanged); + } + init = true; + } + } + }; + + const inHiddenRegion = (top, bottom, hiddenRegions) => { + for (const region of hiddenRegions) { + if (top <= region.bottom && bottom >= region.top) { + return true; + } + } + return false; + }; + + const categorySelector = "header.quarto-title-block .quarto-category"; + const activateCategories = (href) => { + // Find any categories + // Surround them with a link pointing back to: + // #category=Authoring + try { + const categoryEls = window.document.querySelectorAll(categorySelector); + for (const categoryEl of categoryEls) { + const categoryText = categoryEl.textContent; + if (categoryText) { + const link = `${href}#category=${encodeURIComponent(categoryText)}`; + const linkEl = window.document.createElement("a"); + linkEl.setAttribute("href", link); + for (const child of categoryEl.childNodes) { + linkEl.append(child); + } + categoryEl.appendChild(linkEl); + } + } + } catch { + // Ignore errors + } + }; + function hasTitleCategories() { + return window.document.querySelector(categorySelector) !== null; + } + + function offsetRelativeUrl(url) { + const offset = getMeta("quarto:offset"); + return offset ? offset + url : url; + } + + function offsetAbsoluteUrl(url) { + const offset = getMeta("quarto:offset"); + const baseUrl = new URL(offset, window.location); + + const projRelativeUrl = url.replace(baseUrl, ""); + if (projRelativeUrl.startsWith("/")) { + return projRelativeUrl; + } else { + return "/" + projRelativeUrl; + } + } + + // read a meta tag value + function getMeta(metaName) { + const metas = window.document.getElementsByTagName("meta"); + for (let i = 0; i < metas.length; i++) { + if (metas[i].getAttribute("name") === metaName) { + return metas[i].getAttribute("content"); + } + } + return ""; + } + + async function findAndActivateCategories() { + // Categories search with listing only use path without query + const currentPagePath = offsetAbsoluteUrl( + window.location.origin + window.location.pathname + ); + const response = await fetch(offsetRelativeUrl("listings.json")); + if (response.status == 200) { + return response.json().then(function (listingPaths) { + const listingHrefs = []; + for (const listingPath of listingPaths) { + const pathWithoutLeadingSlash = listingPath.listing.substring(1); + for (const item of listingPath.items) { + const encodedItem = encodeURI(item); + if ( + encodedItem === currentPagePath || + encodedItem === currentPagePath + "index.html" + ) { + // Resolve this path against the offset to be sure + // we already are using the correct path to the listing + // (this adjusts the listing urls to be rooted against + // whatever root the page is actually running against) + const relative = offsetRelativeUrl(pathWithoutLeadingSlash); + const baseUrl = window.location; + const resolvedPath = new URL(relative, baseUrl); + listingHrefs.push(resolvedPath.pathname); + break; + } + } + } + + // Look up the tree for a nearby linting and use that if we find one + const nearestListing = findNearestParentListing( + offsetAbsoluteUrl(window.location.pathname), + listingHrefs + ); + if (nearestListing) { + activateCategories(nearestListing); + } else { + // See if the referrer is a listing page for this item + const referredRelativePath = offsetAbsoluteUrl(document.referrer); + const referrerListing = listingHrefs.find((listingHref) => { + const isListingReferrer = + listingHref === referredRelativePath || + listingHref === referredRelativePath + "index.html"; + return isListingReferrer; + }); + + if (referrerListing) { + // Try to use the referrer if possible + activateCategories(referrerListing); + } else if (listingHrefs.length > 0) { + // Otherwise, just fall back to the first listing + activateCategories(listingHrefs[0]); + } + } + }); + } + } + if (hasTitleCategories()) { + findAndActivateCategories(); + } + + const findNearestParentListing = (href, listingHrefs) => { + if (!href || !listingHrefs) { + return undefined; + } + // Look up the tree for a nearby linting and use that if we find one + const relativeParts = href.substring(1).split("/"); + while (relativeParts.length > 0) { + const path = relativeParts.join("/"); + for (const listingHref of listingHrefs) { + if (listingHref.startsWith(path)) { + return listingHref; + } + } + relativeParts.pop(); + } + + return undefined; + }; + + const manageSidebarVisiblity = (el, placeholderDescriptor) => { + let isVisible = true; + let elRect; + + return (hiddenRegions) => { + if (el === null) { + return; + } + + // Find the last element of the TOC + const lastChildEl = el.lastElementChild; + + if (lastChildEl) { + // Converts the sidebar to a menu + const convertToMenu = () => { + for (const child of el.children) { + child.style.opacity = 0; + child.style.overflow = "hidden"; + child.style.pointerEvents = "none"; + } + + nexttick(() => { + const toggleContainer = window.document.createElement("div"); + toggleContainer.style.width = "100%"; + toggleContainer.classList.add("zindex-over-content"); + toggleContainer.classList.add("quarto-sidebar-toggle"); + toggleContainer.classList.add("headroom-target"); // Marks this to be managed by headeroom + toggleContainer.id = placeholderDescriptor.id; + toggleContainer.style.position = "fixed"; + + const toggleIcon = window.document.createElement("i"); + toggleIcon.classList.add("quarto-sidebar-toggle-icon"); + toggleIcon.classList.add("bi"); + toggleIcon.classList.add("bi-caret-down-fill"); + + const toggleTitle = window.document.createElement("div"); + const titleEl = window.document.body.querySelector( + placeholderDescriptor.titleSelector + ); + if (titleEl) { + toggleTitle.append( + titleEl.textContent || titleEl.innerText, + toggleIcon + ); + } + toggleTitle.classList.add("zindex-over-content"); + toggleTitle.classList.add("quarto-sidebar-toggle-title"); + toggleContainer.append(toggleTitle); + + const toggleContents = window.document.createElement("div"); + toggleContents.classList = el.classList; + toggleContents.classList.add("zindex-over-content"); + toggleContents.classList.add("quarto-sidebar-toggle-contents"); + for (const child of el.children) { + if (child.id === "toc-title") { + continue; + } + + const clone = child.cloneNode(true); + clone.style.opacity = 1; + clone.style.pointerEvents = null; + clone.style.display = null; + toggleContents.append(clone); + } + toggleContents.style.height = "0px"; + const positionToggle = () => { + // position the element (top left of parent, same width as parent) + if (!elRect) { + elRect = el.getBoundingClientRect(); + } + toggleContainer.style.left = `${elRect.left}px`; + toggleContainer.style.top = `${elRect.top}px`; + toggleContainer.style.width = `${elRect.width}px`; + }; + positionToggle(); + + toggleContainer.append(toggleContents); + el.parentElement.prepend(toggleContainer); + + // Process clicks + let tocShowing = false; + // Allow the caller to control whether this is dismissed + // when it is clicked (e.g. sidebar navigation supports + // opening and closing the nav tree, so don't dismiss on click) + const clickEl = placeholderDescriptor.dismissOnClick + ? toggleContainer + : toggleTitle; + + const closeToggle = () => { + if (tocShowing) { + toggleContainer.classList.remove("expanded"); + toggleContents.style.height = "0px"; + tocShowing = false; + } + }; + + // Get rid of any expanded toggle if the user scrolls + window.document.addEventListener( + "scroll", + throttle(() => { + closeToggle(); + }, 50) + ); + + // Handle positioning of the toggle + window.addEventListener( + "resize", + throttle(() => { + elRect = undefined; + positionToggle(); + }, 50) + ); + + window.addEventListener("quarto-hrChanged", () => { + elRect = undefined; + }); + + // Process the click + clickEl.onclick = () => { + if (!tocShowing) { + toggleContainer.classList.add("expanded"); + toggleContents.style.height = null; + tocShowing = true; + } else { + closeToggle(); + } + }; + }); + }; + + // Converts a sidebar from a menu back to a sidebar + const convertToSidebar = () => { + for (const child of el.children) { + child.style.opacity = 1; + child.style.overflow = null; + child.style.pointerEvents = null; + } + + const placeholderEl = window.document.getElementById( + placeholderDescriptor.id + ); + if (placeholderEl) { + placeholderEl.remove(); + } + + el.classList.remove("rollup"); + }; + + if (isReaderMode()) { + convertToMenu(); + isVisible = false; + } else { + // Find the top and bottom o the element that is being managed + const elTop = el.offsetTop; + const elBottom = + elTop + lastChildEl.offsetTop + lastChildEl.offsetHeight; + + if (!isVisible) { + // If the element is current not visible reveal if there are + // no conflicts with overlay regions + if (!inHiddenRegion(elTop, elBottom, hiddenRegions)) { + convertToSidebar(); + isVisible = true; + } + } else { + // If the element is visible, hide it if it conflicts with overlay regions + // and insert a placeholder toggle (or if we're in reader mode) + if (inHiddenRegion(elTop, elBottom, hiddenRegions)) { + convertToMenu(); + isVisible = false; + } + } + } + } + }; + }; + + const tabEls = document.querySelectorAll('a[data-bs-toggle="tab"]'); + for (const tabEl of tabEls) { + const id = tabEl.getAttribute("data-bs-target"); + if (id) { + const columnEl = document.querySelector( + `${id} .column-margin, .tabset-margin-content` + ); + if (columnEl) + tabEl.addEventListener("shown.bs.tab", function (event) { + const el = event.srcElement; + if (el) { + const visibleCls = `${el.id}-margin-content`; + // walk up until we find a parent tabset + let panelTabsetEl = el.parentElement; + while (panelTabsetEl) { + if (panelTabsetEl.classList.contains("panel-tabset")) { + break; + } + panelTabsetEl = panelTabsetEl.parentElement; + } + + if (panelTabsetEl) { + const prevSib = panelTabsetEl.previousElementSibling; + if ( + prevSib && + prevSib.classList.contains("tabset-margin-container") + ) { + const childNodes = prevSib.querySelectorAll( + ".tabset-margin-content" + ); + for (const childEl of childNodes) { + if (childEl.classList.contains(visibleCls)) { + childEl.classList.remove("collapse"); + } else { + childEl.classList.add("collapse"); + } + } + } + } + } + + layoutMarginEls(); + }); + } + } + + // Manage the visibility of the toc and the sidebar + const marginScrollVisibility = manageSidebarVisiblity(marginSidebarEl, { + id: "quarto-toc-toggle", + titleSelector: "#toc-title", + dismissOnClick: true, + }); + const sidebarScrollVisiblity = manageSidebarVisiblity(sidebarEl, { + id: "quarto-sidebarnav-toggle", + titleSelector: ".title", + dismissOnClick: false, + }); + let tocLeftScrollVisibility; + if (leftTocEl) { + tocLeftScrollVisibility = manageSidebarVisiblity(leftTocEl, { + id: "quarto-lefttoc-toggle", + titleSelector: "#toc-title", + dismissOnClick: true, + }); + } + + // Find the first element that uses formatting in special columns + const conflictingEls = window.document.body.querySelectorAll( + '[class^="column-"], [class*=" column-"], aside, [class*="margin-caption"], [class*=" margin-caption"], [class*="margin-ref"], [class*=" margin-ref"]' + ); + + // Filter all the possibly conflicting elements into ones + // the do conflict on the left or ride side + const arrConflictingEls = Array.from(conflictingEls); + const leftSideConflictEls = arrConflictingEls.filter((el) => { + if (el.tagName === "ASIDE") { + return false; + } + return Array.from(el.classList).find((className) => { + return ( + className !== "column-body" && + className.startsWith("column-") && + !className.endsWith("right") && + !className.endsWith("container") && + className !== "column-margin" + ); + }); + }); + const rightSideConflictEls = arrConflictingEls.filter((el) => { + if (el.tagName === "ASIDE") { + return true; + } + + const hasMarginCaption = Array.from(el.classList).find((className) => { + return className == "margin-caption"; + }); + if (hasMarginCaption) { + return true; + } + + return Array.from(el.classList).find((className) => { + return ( + className !== "column-body" && + !className.endsWith("container") && + className.startsWith("column-") && + !className.endsWith("left") + ); + }); + }); + + const kOverlapPaddingSize = 10; + function toRegions(els) { + return els.map((el) => { + const boundRect = el.getBoundingClientRect(); + const top = + boundRect.top + + document.documentElement.scrollTop - + kOverlapPaddingSize; + return { + top, + bottom: top + el.scrollHeight + 2 * kOverlapPaddingSize, + }; + }); + } + + let hasObserved = false; + const visibleItemObserver = (els) => { + let visibleElements = [...els]; + const intersectionObserver = new IntersectionObserver( + (entries, _observer) => { + entries.forEach((entry) => { + if (entry.isIntersecting) { + if (visibleElements.indexOf(entry.target) === -1) { + visibleElements.push(entry.target); + } + } else { + visibleElements = visibleElements.filter((visibleEntry) => { + return visibleEntry !== entry; + }); + } + }); + + if (!hasObserved) { + hideOverlappedSidebars(); + } + hasObserved = true; + }, + {} + ); + els.forEach((el) => { + intersectionObserver.observe(el); + }); + + return { + getVisibleEntries: () => { + return visibleElements; + }, + }; + }; + + const rightElementObserver = visibleItemObserver(rightSideConflictEls); + const leftElementObserver = visibleItemObserver(leftSideConflictEls); + + const hideOverlappedSidebars = () => { + marginScrollVisibility(toRegions(rightElementObserver.getVisibleEntries())); + sidebarScrollVisiblity(toRegions(leftElementObserver.getVisibleEntries())); + if (tocLeftScrollVisibility) { + tocLeftScrollVisibility( + toRegions(leftElementObserver.getVisibleEntries()) + ); + } + }; + + window.quartoToggleReader = () => { + // Applies a slow class (or removes it) + // to update the transition speed + const slowTransition = (slow) => { + const manageTransition = (id, slow) => { + const el = document.getElementById(id); + if (el) { + if (slow) { + el.classList.add("slow"); + } else { + el.classList.remove("slow"); + } + } + }; + + manageTransition("TOC", slow); + manageTransition("quarto-sidebar", slow); + }; + const readerMode = !isReaderMode(); + setReaderModeValue(readerMode); + + // If we're entering reader mode, slow the transition + if (readerMode) { + slowTransition(readerMode); + } + highlightReaderToggle(readerMode); + hideOverlappedSidebars(); + + // If we're exiting reader mode, restore the non-slow transition + if (!readerMode) { + slowTransition(!readerMode); + } + }; + + const highlightReaderToggle = (readerMode) => { + const els = document.querySelectorAll(".quarto-reader-toggle"); + if (els) { + els.forEach((el) => { + if (readerMode) { + el.classList.add("reader"); + } else { + el.classList.remove("reader"); + } + }); + } + }; + + const setReaderModeValue = (val) => { + if (window.location.protocol !== "file:") { + window.localStorage.setItem("quarto-reader-mode", val); + } else { + localReaderMode = val; + } + }; + + const isReaderMode = () => { + if (window.location.protocol !== "file:") { + return window.localStorage.getItem("quarto-reader-mode") === "true"; + } else { + return localReaderMode; + } + }; + let localReaderMode = null; + + const tocOpenDepthStr = tocEl?.getAttribute("data-toc-expanded"); + const tocOpenDepth = tocOpenDepthStr ? Number(tocOpenDepthStr) : 1; + + // Walk the TOC and collapse/expand nodes + // Nodes are expanded if: + // - they are top level + // - they have children that are 'active' links + // - they are directly below an link that is 'active' + const walk = (el, depth) => { + // Tick depth when we enter a UL + if (el.tagName === "UL") { + depth = depth + 1; + } + + // It this is active link + let isActiveNode = false; + if (el.tagName === "A" && el.classList.contains("active")) { + isActiveNode = true; + } + + // See if there is an active child to this element + let hasActiveChild = false; + for (const child of el.children) { + hasActiveChild = walk(child, depth) || hasActiveChild; + } + + // Process the collapse state if this is an UL + if (el.tagName === "UL") { + if (tocOpenDepth === -1 && depth > 1) { + // toc-expand: false + el.classList.add("collapse"); + } else if ( + depth <= tocOpenDepth || + hasActiveChild || + prevSiblingIsActiveLink(el) + ) { + el.classList.remove("collapse"); + } else { + el.classList.add("collapse"); + } + + // untick depth when we leave a UL + depth = depth - 1; + } + return hasActiveChild || isActiveNode; + }; + + // walk the TOC and expand / collapse any items that should be shown + if (tocEl) { + updateActiveLink(); + walk(tocEl, 0); + } + + // Throttle the scroll event and walk peridiocally + window.document.addEventListener( + "scroll", + throttle(() => { + if (tocEl) { + updateActiveLink(); + walk(tocEl, 0); + } + if (!isReaderMode()) { + hideOverlappedSidebars(); + } + }, 5) + ); + window.addEventListener( + "resize", + throttle(() => { + if (tocEl) { + updateActiveLink(); + walk(tocEl, 0); + } + if (!isReaderMode()) { + hideOverlappedSidebars(); + } + }, 10) + ); + hideOverlappedSidebars(); + highlightReaderToggle(isReaderMode()); +}); + +tabsets.init(); +axe.init(); + +function throttle(func, wait) { + let waiting = false; + return function () { + if (!waiting) { + func.apply(this, arguments); + waiting = true; + setTimeout(function () { + waiting = false; + }, wait); + } + }; +} + +function nexttick(func) { + return setTimeout(func, 0); +} diff --git a/02_activities/assignments/assignment_1_files/libs/quarto-html/tabsets/tabsets.js b/02_activities/assignments/assignment_1_files/libs/quarto-html/tabsets/tabsets.js new file mode 100644 index 0000000..51345d0 --- /dev/null +++ b/02_activities/assignments/assignment_1_files/libs/quarto-html/tabsets/tabsets.js @@ -0,0 +1,95 @@ +// grouped tabsets + +export function init() { + window.addEventListener("pageshow", (_event) => { + function getTabSettings() { + const data = localStorage.getItem("quarto-persistent-tabsets-data"); + if (!data) { + localStorage.setItem("quarto-persistent-tabsets-data", "{}"); + return {}; + } + if (data) { + return JSON.parse(data); + } + } + + function setTabSettings(data) { + localStorage.setItem( + "quarto-persistent-tabsets-data", + JSON.stringify(data) + ); + } + + function setTabState(groupName, groupValue) { + const data = getTabSettings(); + data[groupName] = groupValue; + setTabSettings(data); + } + + function toggleTab(tab, active) { + const tabPanelId = tab.getAttribute("aria-controls"); + const tabPanel = document.getElementById(tabPanelId); + if (active) { + tab.classList.add("active"); + tabPanel.classList.add("active"); + } else { + tab.classList.remove("active"); + tabPanel.classList.remove("active"); + } + } + + function toggleAll(selectedGroup, selectorsToSync) { + for (const [thisGroup, tabs] of Object.entries(selectorsToSync)) { + const active = selectedGroup === thisGroup; + for (const tab of tabs) { + toggleTab(tab, active); + } + } + } + + function findSelectorsToSyncByLanguage() { + const result = {}; + const tabs = Array.from( + document.querySelectorAll(`div[data-group] a[id^='tabset-']`) + ); + for (const item of tabs) { + const div = item.parentElement.parentElement.parentElement; + const group = div.getAttribute("data-group"); + if (!result[group]) { + result[group] = {}; + } + const selectorsToSync = result[group]; + const value = item.innerHTML; + if (!selectorsToSync[value]) { + selectorsToSync[value] = []; + } + selectorsToSync[value].push(item); + } + return result; + } + + function setupSelectorSync() { + const selectorsToSync = findSelectorsToSyncByLanguage(); + Object.entries(selectorsToSync).forEach(([group, tabSetsByValue]) => { + Object.entries(tabSetsByValue).forEach(([value, items]) => { + items.forEach((item) => { + item.addEventListener("click", (_event) => { + setTabState(group, value); + toggleAll(value, selectorsToSync[group]); + }); + }); + }); + }); + return selectorsToSync; + } + + const selectorsToSync = setupSelectorSync(); + for (const [group, selectedName] of Object.entries(getTabSettings())) { + const selectors = selectorsToSync[group]; + // it's possible that stale state gives us empty selections, so we explicitly check here. + if (selectors) { + toggleAll(selectedName, selectors); + } + } + }); +} diff --git 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b/02_activities/tutorials/tutorial_1.qmd index 93310a5..d7ede5e 100644 --- a/02_activities/tutorials/tutorial_1.qmd +++ b/02_activities/tutorials/tutorial_1.qmd @@ -55,14 +55,14 @@ head ./02_activities/data/gwa.qc.fam head ./02_activities/data/gwa.qc.bim ``` -| **Column Name** | **Description** | +| **Column Name** | **Description** | |------------------------------------|------------------------------------| -| **CHR** | Chromosome number | -| **SNP** | SNP ID (e.g., rs number) | -| **CM** | Genetic distance (usually 0) | -| **BP** | Physical position in base pairs | -| **A1** | PLINK's alternative allele | -| **A2** | the other allele (reference allele; mostly major alleles) | +| **CHR** | Chromosome number | +| **SNP** | SNP ID (e.g., rs number) | +| **CM** | Genetic distance (usually 0) | +| **BP** | Physical position in base pairs | +| **A1** | PLINK's alternative allele | +| **A2** | the other allele (reference allele; mostly major alleles) | ### 3. Understanding the .bed file @@ -318,7 +318,7 @@ print(p1) ``` -**Interpretation**: We performed logistic regression to test the association between genotype (rs1525873) and the binary phenotype. The regression coefficient for rs1525873 is 1.93140 (p <2e-16), indicating that each additional copy of the T allele is associated with increased odds of being a case. The significant p-value suggests evidence of an association between this SNP and the phenotype in our sample. +**Interpretation**: We performed logistic regression to test the association between genotype (rs1525873) and the binary phenotype. The regression coefficient for rs1525873 is 1.93140 (p \<2e-16), indicating that each additional copy of the T allele is associated with increased odds of being a case. The significant p-value suggests evidence of an association between this SNP and the phenotype in our sample. In practice, when testing genetic associations, we include additional covariates in the model, such as age, sex, and principal components to adjust for confounding effects. We will cover this in more detail later in the course. @@ -445,4 +445,4 @@ print(p3) **Interpretation**: In the recessive model, the predicted risk when genotype = 0 is higher than under the dominance model,when genotype = 0 includes both aa and Aa individuals. This means the average risk for genotype=0 in the recessive model includes some risk from heterozygotes (Aa), pushing the predicted probability higher than if it were only aa. The AIC (AIC=−2log(L)+2k) of 3412.1 indicates that the additive model offers the best overall fit, consistent with the interpretation that heterozygotes (Aa) confer intermediate risk relative to aa. -In practice, the choice of genotype coding depends on biological hypotheses about the mode of inheritance and the statistical fit of different models. Researchers typically start with additive coding as the primary analysis, and may perform sensitivity analyses with dominance and recessive codings. +In practice, the choice of genotype coding depends on biological hypotheses about the mode of inheritance and the statistical fit of different models. Researchers typically start with additive coding as the primary analysis, and may perform sensitivity analyses with dominance and recessive codings. \ No newline at end of file From 8f1fc2b43713d8e4f5baf9d88502b17c06f717d5 Mon Sep 17 00:00:00 2001 From: Minal C Date: Wed, 1 Apr 2026 22:25:34 -0300 Subject: [PATCH 2/2] Submission for Assignment 2 --- 02_activities/assignments/assignment_2.html | 952 ++++++++++++++++++++ 02_activities/assignments/assignment_2.qmd | 74 +- 02_activities/data/manhattan_plot_A2.png | Bin 0 -> 14648 bytes 02_activities/data/qq_plot_A2.png | Bin 0 -> 5250 bytes 4 files changed, 1016 insertions(+), 10 deletions(-) create mode 100644 02_activities/assignments/assignment_2.html create mode 100644 02_activities/data/manhattan_plot_A2.png create mode 100644 02_activities/data/qq_plot_A2.png diff --git a/02_activities/assignments/assignment_2.html b/02_activities/assignments/assignment_2.html new file mode 100644 index 0000000..0203cf7 --- /dev/null +++ b/02_activities/assignments/assignment_2.html @@ -0,0 +1,952 @@ + + + + + + + + + +Assignment #2 + + + + + + + + + + + + + + + + + + + + + +
+ +
+ +
+
+

Assignment #2

+
+ + + +
+ + + + +
+ + + +
+ + +

You will need PLINK2 installed and available in your PATH. Please follow the OS-specific setup guide in SETUP.md. The dataset for this assignment consists of the following binary PLINK files: gwa.A2.bed, gwa.A2.bim, gwa.A2.fam , available at the following Google Drive link: https://drive.google.com/drive/folders/1rHoy3z52Yyj985ukjjtLhfIBxchpyYtZ?usp=drive_link. Please download all three files and save them in 02_activities/data/.

+
+

Question 1: Data inspection

+

Before you run any models, first get familiar with the dataset. You may find data.table::fread() in R helpful for reading .bim and .fam files.

+
    +
  1. Read the .fam file. How many samples does the dataset contain? dataset contain 4000 samples.
    2. +
+
+
library(data.table)
+
+# Load the family file to see sample information
+fam_a2 <- fread("02_activities/data/gwa.A2.fam")
+
+# Output the total number of samples
+nrow(fam_a2)
+
+
[1] 4000
+
+
# Your code here...
+
+
    +
  1. Read the .bim file. How many SNPs does the dataset contain? dataset contain 306102 SNPs.
    2. +
+
+
# Read the .bim file to count SNPs
+bim_a2 <- data.table::fread("02_activities/data/gwa.A2.bim")
+
+# Output the number of SNPs
+nrow(bim_a2)
+
+
[1] 306102
+
+
+
+
+

Question 2: Quality control (QC)

+

Now we will perform QC using PLINK2 for the genotype files in gwa.A2.

+
    +
  1. Using PLINK2 from the command line (bash), perform basic QC with the following filters: MAF ≥ 0.05, SNP missingness (--geno) ≤ 0.01, individual missingness (--mind) ≤ 0.10, and HWE p-value ≥ 0.00005, and output the QC’ed dataset as gwa.qc.A2.
    2. +
+
+
plink2 --bfile 02_activities/data/gwa.A2 \
+  --maf 0.05 \
+  --geno 0.01 \
+  --mind 0.10 \
+  --hwe 0.00005 \
+  --make-bed \
+  --out 02_activities/data/gwa.qc.A2
+
+
PLINK v2.0.0-a.7 64-bit (10 Jan 2026)               cog-genomics.org/plink/2.0/
+(C) 2005-2026 Shaun Purcell, Christopher Chang    GNU General Public License v3
+Logging to 02_activities/data/gwa.qc.A2.log.
+Options in effect:
+  --bfile 02_activities/data/gwa.A2
+  --geno 0.01
+  --hwe 0.00005
+  --maf 0.05
+  --make-bed
+  --mind 0.10
+  --out 02_activities/data/gwa.qc.A2
+
+Start time: Wed Apr 01 22:15:56 2026
+16108 MiB RAM detected; reserving 8054 MiB for main workspace.
+Using up to 12 threads (change this with --threads).
+4000 samples (2000 females, 2000 males; 4000 founders) loaded from
+02_activities/data/gwa.A2.fam.
+306102 variants loaded from 02_activities/data/gwa.A2.bim.
+1 quantitative phenotype loaded (4000 values).
+Calculating sample missingness rates... 0%21%42%64%85%done.
+0 samples removed due to missing genotype data (--mind).
+4000 samples (2000 females, 2000 males; 4000 founders) remaining after main
+filters.
+4000 quantitative phenotype values remaining after main filters.
+Calculating allele frequencies... 0%21%42%64%85%done.
+--geno: 196578 variants removed due to missing genotype data.
+--hwe: 6 variants removed due to Hardy-Weinberg exact test (founders only).
+8435 variants removed due to allele frequency threshold(s)
+(--maf/--max-maf/--mac/--max-mac).
+101083 variants remaining after main filters.
+Writing 02_activities/data/gwa.qc.A2.fam ... done.
+Writing 02_activities/data/gwa.qc.A2.bim ... done.
+Writing 02_activities/data/gwa.qc.A2.bed ... 0%21%43%65%87%done.
+End time: Wed Apr 01 22:15:57 2026
+
+
+
+
+

Question 3: Relatedness

+

In this question, you will use PLINK2’s built-in KING-robust kinship (--king-cutoff) detect and remove related individuals.

+
    +
  1. Perform LD pruning on gwa.qc.A2 using PLINK2 with the following parameters: --indep-pairwise 500 50 0.05, and then generate a new dataset containing only the pruned SNPs.
    2. +
+
+
plink2 --bfile 02_activities/data/gwa.qc.A2 \
+  --indep-pairwise 500 50 0.05 \
+  --out 02_activities/data/gwa.qc.A2
+
+
PLINK v2.0.0-a.7 64-bit (10 Jan 2026)               cog-genomics.org/plink/2.0/
+(C) 2005-2026 Shaun Purcell, Christopher Chang    GNU General Public License v3
+Logging to 02_activities/data/gwa.qc.A2.log.
+Options in effect:
+  --bfile 02_activities/data/gwa.qc.A2
+  --indep-pairwise 500 50 0.05
+  --out 02_activities/data/gwa.qc.A2
+
+Start time: Wed Apr 01 22:15:58 2026
+16108 MiB RAM detected; reserving 8054 MiB for main workspace.
+Using up to 12 threads (change this with --threads).
+4000 samples (2000 females, 2000 males; 4000 founders) loaded from
+02_activities/data/gwa.qc.A2.fam.
+101083 variants loaded from 02_activities/data/gwa.qc.A2.bim.
+1 quantitative phenotype loaded (4000 values).
+Calculating allele frequencies... 0%64%done.
+--indep-pairwise (11 compute threads): 0%50%79169/101083 variants removed.
+Writing...
+Variant lists written to 02_activities/data/gwa.qc.A2.prune.in and
+02_activities/data/gwa.qc.A2.prune.out .
+End time: Wed Apr 01 22:15:59 2026
+
+
+
+
plink2 --bfile 02_activities/data/gwa.qc.A2 \
+  --extract 02_activities/data/gwa.qc.A2.prune.in \
+  --make-bed \
+  --out 02_activities/data/gwa.qc.A2_pruned
+
+
PLINK v2.0.0-a.7 64-bit (10 Jan 2026)               cog-genomics.org/plink/2.0/
+(C) 2005-2026 Shaun Purcell, Christopher Chang    GNU General Public License v3
+Logging to 02_activities/data/gwa.qc.A2_pruned.log.
+Options in effect:
+  --bfile 02_activities/data/gwa.qc.A2
+  --extract 02_activities/data/gwa.qc.A2.prune.in
+  --make-bed
+  --out 02_activities/data/gwa.qc.A2_pruned
+
+Start time: Wed Apr 01 22:15:59 2026
+16108 MiB RAM detected; reserving 8054 MiB for main workspace.
+Using up to 12 threads (change this with --threads).
+4000 samples (2000 females, 2000 males; 4000 founders) loaded from
+02_activities/data/gwa.qc.A2.fam.
+101083 variants loaded from 02_activities/data/gwa.qc.A2.bim.
+1 quantitative phenotype loaded (4000 values).
+--extract: 21914 variants remaining.
+21914 variants remaining after main filters.
+Writing 02_activities/data/gwa.qc.A2_pruned.fam ... done.
+Writing 02_activities/data/gwa.qc.A2_pruned.bim ... done.
+Writing 02_activities/data/gwa.qc.A2_pruned.bed ... 0%61%done.
+End time: Wed Apr 01 22:15:59 2026
+
+
+
    +
  1. Use PLINK2 on the LD-pruned dataset to identify a set of unrelated individuals up to (approximately) 2nd-degree relatives (use a kinship cutoff of 0.0884).
    2. +
+
+
plink2 --bfile 02_activities/data/gwa.qc.A2_pruned \
+  --king-cutoff 0.0884 \
+  --out 02_activities/data/gwa_king.A2
+
+
PLINK v2.0.0-a.7 64-bit (10 Jan 2026)               cog-genomics.org/plink/2.0/
+(C) 2005-2026 Shaun Purcell, Christopher Chang    GNU General Public License v3
+Logging to 02_activities/data/gwa_king.A2.log.
+Options in effect:
+  --bfile 02_activities/data/gwa.qc.A2_pruned
+  --king-cutoff 0.0884
+  --out 02_activities/data/gwa_king.A2
+
+Start time: Wed Apr 01 22:15:59 2026
+16108 MiB RAM detected; reserving 8054 MiB for main workspace.
+Using up to 12 threads (change this with --threads).
+4000 samples (2000 females, 2000 males; 4000 founders) loaded from
+02_activities/data/gwa.qc.A2_pruned.fam.
+21914 variants loaded from 02_activities/data/gwa.qc.A2_pruned.bim.
+1 quantitative phenotype loaded (4000 values).
+--king-cutoff pass 1/1: Scanning for rare variants... 0%done.
+0 variants handled by initial scan (21914 remaining).
+
+--king-cutoff pass 1/1: 0 variants complete.
+--king-cutoff pass 1/1: 1536 variants complete.
+--king-cutoff pass 1/1: 3072 variants complete.
+--king-cutoff pass 1/1: 4608 variants complete.
+--king-cutoff pass 1/1: 6144 variants complete.
+--king-cutoff pass 1/1: 7680 variants complete.
+--king-cutoff pass 1/1: 9216 variants complete.
+--king-cutoff pass 1/1: 10752 variants complete.
+--king-cutoff pass 1/1: 12288 variants complete.
+--king-cutoff pass 1/1: 13824 variants complete.
+--king-cutoff pass 1/1: 15360 variants complete.
+--king-cutoff pass 1/1: 16896 variants complete.
+--king-cutoff pass 1/1: 18432 variants complete.
+--king-cutoff pass 1/1: 19968 variants complete.
+--king-cutoff pass 1/1: 21504 variants complete.
+--king-cutoff pass 1/1: Condensing...                 done.
+--king-cutoff: 21914 variants processed.
+--king-cutoff: Excluded sample IDs written to
+02_activities/data/gwa_king.A2.king.cutoff.out.id , and 4000 remaining sample
+IDs written to 02_activities/data/gwa_king.A2.king.cutoff.in.id .
+End time: Wed Apr 01 22:16:01 2026
+
+
+
    +
  1. Using the unrelated individual list from part (ii), create a dataset containing only unrelated individuals and name it gwa.qc_unrelated.A2.
    2. +
+
+
plink2 --bfile 02_activities/data/gwa.qc.A2 \
+  --keep 02_activities/data/gwa_king.A2.king.cutoff.in.id \
+  --make-bed \
+  --out 02_activities/data/gwa.qc_unrelated.A2
+
+
PLINK v2.0.0-a.7 64-bit (10 Jan 2026)               cog-genomics.org/plink/2.0/
+(C) 2005-2026 Shaun Purcell, Christopher Chang    GNU General Public License v3
+Logging to 02_activities/data/gwa.qc_unrelated.A2.log.
+Options in effect:
+  --bfile 02_activities/data/gwa.qc.A2
+  --keep 02_activities/data/gwa_king.A2.king.cutoff.in.id
+  --make-bed
+  --out 02_activities/data/gwa.qc_unrelated.A2
+
+Start time: Wed Apr 01 22:16:01 2026
+16108 MiB RAM detected; reserving 8054 MiB for main workspace.
+Allocated 6040 MiB successfully, after larger attempt(s) failed.
+Using up to 12 threads (change this with --threads).
+4000 samples (2000 females, 2000 males; 4000 founders) loaded from
+02_activities/data/gwa.qc.A2.fam.
+101083 variants loaded from 02_activities/data/gwa.qc.A2.bim.
+1 quantitative phenotype loaded (4000 values).
+--keep: 4000 samples remaining.
+4000 samples (2000 females, 2000 males; 4000 founders) remaining after main
+filters.
+4000 quantitative phenotype values remaining after main filters.
+Writing 02_activities/data/gwa.qc_unrelated.A2.fam ... done.
+Writing 02_activities/data/gwa.qc_unrelated.A2.bim ... done.
+Writing 02_activities/data/gwa.qc_unrelated.A2.bed ... 0%64%done.
+End time: Wed Apr 01 22:16:03 2026
+
+
+
+
+

Question 4: principal component analysis (PCA)

+
    +

  1. Using PLINK2, perform PCA on the unrelated, LD-pruned dataset to obtain principal components.

    +

    (Hint: Refer to the PCA section in the GWAS Tutorial II. You should use a *.prune.in file to select a set of independent SNPs before performing PCA.)

    2. +
+
+
plink2 --bfile 02_activities/data/gwa.qc_unrelated.A2 \
+  --extract 02_activities/data/gwa.qc.A2.prune.in \
+  --pca 10 \
+  --out 02_activities/data/gwa_unrel_PCA.A2
+
+
PLINK v2.0.0-a.7 64-bit (10 Jan 2026)               cog-genomics.org/plink/2.0/
+(C) 2005-2026 Shaun Purcell, Christopher Chang    GNU General Public License v3
+Logging to 02_activities/data/gwa_unrel_PCA.A2.log.
+Options in effect:
+  --bfile 02_activities/data/gwa.qc_unrelated.A2
+  --extract 02_activities/data/gwa.qc.A2.prune.in
+  --out 02_activities/data/gwa_unrel_PCA.A2
+  --pca 10
+
+Start time: Wed Apr 01 22:16:03 2026
+16108 MiB RAM detected; reserving 8054 MiB for main workspace.
+Allocated 3397 MiB successfully, after larger attempt(s) failed.
+Using up to 12 threads (change this with --threads).
+4000 samples (2000 females, 2000 males; 4000 founders) loaded from
+02_activities/data/gwa.qc_unrelated.A2.fam.
+101083 variants loaded from 02_activities/data/gwa.qc_unrelated.A2.bim.
+1 quantitative phenotype loaded (4000 values).
+--extract: 21914 variants remaining.
+Calculating allele frequencies... 0%61%done.
+21914 variants remaining after main filters.
+Constructing GRM: 0%1%2%3%4%5%6%7%8%9%10%11%12%13%14%15%16%17%18%19%20%21%22%23%24%25%26%27%28%29%30%31%32%33%34%35%36%37%38%39%40%41%42%43%44%45%46%47%48%49%50%51%52%53%54%55%56%57%58%59%60%61%62%63%64%65%66%67%68%69%70%71%72%73%74%75%76%77%78%79%80%81%82%83%84%85%86%87%88%89%90%91%92%93%94%95%96%97%98%99%done.
+Correcting for missingness... 0%1%2%3%4%5%6%7%8%9%10%11%12%13%14%15%16%17%18%19%20%21%22%23%24%25%26%27%28%29%30%31%32%33%34%35%36%37%38%39%40%41%42%43%44%45%46%47%48%49%50%51%52%53%54%55%56%57%58%59%60%61%62%63%64%65%66%67%68%69%70%71%72%73%74%75%76%77%78%79%80%81%82%83%84%85%86%87%88%89%90%91%92%93%94%95%96%97%98%99%done.
+Extracting eigenvalues and eigenvectors... done.
+--pca: Eigenvectors written to 02_activities/data/gwa_unrel_PCA.A2.eigenvec ,
+and eigenvalues written to 02_activities/data/gwa_unrel_PCA.A2.eigenval .
+End time: Wed Apr 01 22:16:21 2026
+
+
+
+
+

Question 5: GWAS analyses

+

We now test for association between each SNP and the continuous phenotype, adjusting for population structure using the top 3 PCs.

+

Assume that:

+
    +

  • You will run GWAS on the unrelated, QC’ed dataset gwa.qc_unrelated.A2.

    • +

  • You have a covariate file (e.g., the *.eigenvec output from the PCA analysis) containing PC1–PC3 for each individual.

    • +
+
    +
  1. Using PLINK2, run a linear regression GWAS using gwa.qc_unrelated.A2 as the input dataset. Adjust for PCs 1–3 as covariates.
    2. +
+
+
plink2 --bfile 02_activities/data/gwa.qc_unrelated.A2 \
+  --linear \
+  --covar 02_activities/data/gwa_unrel_PCA.A2.eigenvec \
+  --covar-col-nums 3-5 \
+  --out 02_activities/data/gwa.qc_assoc.A2
+
+
PLINK v2.0.0-a.7 64-bit (10 Jan 2026)               cog-genomics.org/plink/2.0/
+(C) 2005-2026 Shaun Purcell, Christopher Chang    GNU General Public License v3
+Logging to 02_activities/data/gwa.qc_assoc.A2.log.
+Options in effect:
+  --bfile 02_activities/data/gwa.qc_unrelated.A2
+  --covar 02_activities/data/gwa_unrel_PCA.A2.eigenvec
+  --covar-col-nums 3-5
+  --glm
+  --out 02_activities/data/gwa.qc_assoc.A2
+
+Start time: Wed Apr 01 22:16:22 2026
+16108 MiB RAM detected; reserving 8054 MiB for main workspace.
+Using up to 12 threads (change this with --threads).
+4000 samples (2000 females, 2000 males; 4000 founders) loaded from
+02_activities/data/gwa.qc_unrelated.A2.fam.
+101083 variants loaded from 02_activities/data/gwa.qc_unrelated.A2.bim.
+1 quantitative phenotype loaded (4000 values).
+3 covariates loaded from 02_activities/data/gwa_unrel_PCA.A2.eigenvec.
+Calculating allele frequencies... 0%64%done.
+--glm linear regression on phenotype 'PHENO1': 0%64%done.
+Results written to 02_activities/data/gwa.qc_assoc.A2.PHENO1.glm.linear .
+End time: Wed Apr 01 22:16:24 2026
+
+
+
    +
  1. Create a Manhattan plot of the GWAS results.
    2. +
+
+
library(data.table); library(qqman)
+
+
+
+
+
For example usage please run: vignette('qqman')
+
+
+
+
+
+
Citation appreciated but not required:
+
+
+
Turner, (2018). qqman: an R package for visualizing GWAS results using Q-Q and manhattan plots. Journal of Open Source Software, 3(25), 731, https://doi.org/10.21105/joss.00731.
+
+
+
+
+
# Load, filter for Additive, and rename columns in one go
+assoc <- fread("02_activities/data/gwa.qc_assoc.A2.PHENO1.glm.linear")[TEST == "ADD"]
+setnames(assoc, c("#CHROM", "POS", "ID"), c("CHR", "BP", "SNP"))
+
+# Generate the plot
+png("./02_activities/data/manhattan_plot_A2.png", width = 1000, height = 600)
+manhattan(assoc, main = "Manhattan Plot: Assignment 2", col = c("blue4", "orange3"))
+dev.off()
+
+
png 
+  2
+
+
+
    +
  1. Create a QQ plot of the GWAS p-values.
    2. +
+
+
# QQ Plot
+png("./02_activities/data/qq_plot_A2.png", width = 600, height = 600)
+
+# The qq function only needs the P-value column from your filtered data
+qq(assoc$P, main = "Q-Q Plot: Assignment 2")
+
+dev.off()
+
+
png 
+  2
+
+
+
+
+

Criteria

+ +++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
CriteriaCompleteIncomplete
Data inspectionCorrect sample and SNP countsCounts or phenotype description/plot missing or incorrect.
QC & LD pruningCorrect PLINK2 QC command and thresholds.QC/pruning commands, thresholds, or output datasets missing or incorrect.
Relatedness & PCACorrect use of PLINK2 command to obtain unrelated samples and PCA run on pruned SNPs.Relatedness step, unrelated dataset, or PCA analysis missing or incorrect.
GWAS & visualisationLinear regression GWAS with PCs as covariates; Manhattan and QQ plots produced.GWAS command, or Manhattan/QQ plots missing or clearly incorrect.
+
+
+

Submission Information

+

🚨 Please review our Assignment Submission Guide 🚨 for detailed instructions on how to format, branch, and submit your work. Following these guidelines is crucial for your submissions to be evaluated correctly.

+
+
+

Submission Parameters

+
    +

  • Submission Due Date: 11:59 PM – 01/04/2026

    • +

  • The branch name for your repo should be: assignment-2

    • +

  • What to submit for this assignment:

    +
      +
    • Populate this Quarto document (assignment_2.qmd).
      • +
    • Render the document with Quarto: quarto render assignment_2.qmd.
      • +
    • Submit both assignment_2.qmd, the rendered HTML file assignment_2.html and saved figures in your pull request.
      • +
    • +

  • What the pull request link should look like for this assignment: https://github.com/<your_github_username>/gen_data/pull/<pr_id>

    +
      +
    • Open a private window in your browser. Copy and paste the link to your pull request into the address bar. Make sure you can see your pull request properly. This helps the technical facilitator and learning support team review your submission easily.
      • +
    • +
+
+

Checklist:

+
    +
  • Create a branch called assignment-2.
    • +
  • Ensure that your repository is public.
    • +
  • Review the PR description guidelines and adhere to them.
    • +
  • Verify that your link is accessible in a private browser window.
    • +
  • Confirm that both assignment_2.qmd and assignment_2.html are included in the pull request.
    • +
+
+
+ +
+ + +
+ + + + + \ No newline at end of file diff --git a/02_activities/assignments/assignment_2.qmd b/02_activities/assignments/assignment_2.qmd index e3a5449..b389dfd 100644 --- a/02_activities/assignments/assignment_2.qmd +++ b/02_activities/assignments/assignment_2.qmd @@ -10,15 +10,27 @@ You will need **PLINK2** installed and available in your PATH. Please follow the Before you run any models, first get familiar with the dataset. You may find `data.table::fread()` in R helpful for reading `.bim` and `.fam` files. (i) Read the `.fam` file. How many samples does the dataset contain? +dataset contain 4000 samples. ```{r} +library(data.table) + +# Load the family file to see sample information +fam_a2 <- fread("02_activities/data/gwa.A2.fam") + +# Output the total number of samples +nrow(fam_a2) # Your code here... ``` (ii) Read the `.bim` file. How many SNPs does the dataset contain? - +dataset contain 306102 SNPs. ```{r} -# Your code here... +# Read the .bim file to count SNPs +bim_a2 <- data.table::fread("02_activities/data/gwa.A2.bim") + +# Output the number of SNPs +nrow(bim_a2) ``` @@ -29,7 +41,13 @@ Now we will perform QC using PLINK2 for the genotype files in `gwa.A2`. (i) Using PLINK2 from the command line (bash), perform basic QC with the following filters: MAF ≥ 0.05, SNP missingness (`--geno`) ≤ 0.01, individual missingness (`--mind`) ≤ 0.10, and HWE p-value ≥ 0.00005, and output the QC’ed dataset as `gwa.qc.A2`. ```{bash} -# Your code here... +plink2 --bfile 02_activities/data/gwa.A2 \ + --maf 0.05 \ + --geno 0.01 \ + --mind 0.10 \ + --hwe 0.00005 \ + --make-bed \ + --out 02_activities/data/gwa.qc.A2 ``` #### Question 3: Relatedness @@ -39,19 +57,33 @@ In this question, you will use **PLINK2’s built-in KING-robust kinship** (`--k i) Perform LD pruning on `gwa.qc.A2` using PLINK2 with the following parameters: `--indep-pairwise 500 50 0.05`, and then generate a new dataset containing only the pruned SNPs. ```{bash} -# Your code here... +plink2 --bfile 02_activities/data/gwa.qc.A2 \ + --indep-pairwise 500 50 0.05 \ + --out 02_activities/data/gwa.qc.A2 +``` + +```{bash} +plink2 --bfile 02_activities/data/gwa.qc.A2 \ + --extract 02_activities/data/gwa.qc.A2.prune.in \ + --make-bed \ + --out 02_activities/data/gwa.qc.A2_pruned ``` (ii) Use PLINK2 on the LD-pruned dataset to identify a set of unrelated individuals up to (approximately) 2nd-degree relatives (use a kinship cutoff of 0.0884). ```{bash} -# Your code here... +plink2 --bfile 02_activities/data/gwa.qc.A2_pruned \ + --king-cutoff 0.0884 \ + --out 02_activities/data/gwa_king.A2 ``` (iii) Using the unrelated individual list from part (ii), create a dataset containing only unrelated individuals and name it `gwa.qc_unrelated.A2`. ```{bash} -# Your code here... +plink2 --bfile 02_activities/data/gwa.qc.A2 \ + --keep 02_activities/data/gwa_king.A2.king.cutoff.in.id \ + --make-bed \ + --out 02_activities/data/gwa.qc_unrelated.A2 ``` #### Question 4: principal component analysis (PCA) @@ -61,7 +93,10 @@ i) Perform LD pruning on `gwa.qc.A2` using PLINK2 with the following parameters (Hint: Refer to the PCA section in the GWAS Tutorial II. You should use a `*.prune.in` file to select a set of independent SNPs before performing PCA.) ```{bash} -# Your code here... +plink2 --bfile 02_activities/data/gwa.qc_unrelated.A2 \ + --extract 02_activities/data/gwa.qc.A2.prune.in \ + --pca 10 \ + --out 02_activities/data/gwa_unrel_PCA.A2 ``` #### Question 5: GWAS analyses @@ -77,19 +112,38 @@ Assume that: (i) Using PLINK2, run a linear regression GWAS using `gwa.qc_unrelated.A2` as the input dataset. Adjust for PCs 1–3 as covariates. ```{bash} -# Your code here... +plink2 --bfile 02_activities/data/gwa.qc_unrelated.A2 \ + --linear \ + --covar 02_activities/data/gwa_unrel_PCA.A2.eigenvec \ + --covar-col-nums 3-5 \ + --out 02_activities/data/gwa.qc_assoc.A2 ``` (ii) Create a Manhattan plot of the GWAS results. ```{r} -# Your code here... +library(data.table); library(qqman) + +# Load, filter for Additive, and rename columns in one go +assoc <- fread("02_activities/data/gwa.qc_assoc.A2.PHENO1.glm.linear")[TEST == "ADD"] +setnames(assoc, c("#CHROM", "POS", "ID"), c("CHR", "BP", "SNP")) + +# Generate the plot +png("./02_activities/data/manhattan_plot_A2.png", width = 1000, height = 600) +manhattan(assoc, main = "Manhattan Plot: Assignment 2", col = c("blue4", "orange3")) +dev.off() ``` (iii) Create a QQ plot of the GWAS p-values. ```{r} -# Your code here... +# QQ Plot +png("./02_activities/data/qq_plot_A2.png", width = 600, height = 600) + +# The qq function only needs the P-value 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