Statistics by CrashCourse TOC 导航

[EmbraceLife]

What is statistics

key words

field of statistics, statistics, descriptive, inferential, uncertainty, experimental design

What is mathematical thinking

key words

number literacy, scientific notation, law of truly large numbers, missing bullet holes

Mean, Median, Mode: measure central tendency

key words

mean, median, mode, outlier, normal, distribution, average vs median income

Measures of Spread

key words

spread, range, interquartile range, variance, sample variance, standard deviation

Charts are like pasta - Data visualization part 1

key words

frequency table, relative frequency table, bar chart, pie chart, histogram, categorical and quantitative, binning, misleading

dot plots, stem-leaf plot, box-whiskers plot - Data visualization part 2

key words

dot plots, stem-leaf plot, box-whiskers plot, outliers (when to or not to throw away), cumulative frequency plot,

The shape of data - Distribution

key words

distribution, shape of data, discrete and continuous, sample distribution, population distribution or theoretical distribution, normal distribution, unimodal, bimodal, multimodal

Correlation doesn't equal causation

Key words

correlation, causation, bivariate data, regression, regression coefficient, correlation coefficient, squared correlation, spurious correlation

Controlled Experiment

Key words

controlled experiments, simulation, randomized block design, placebo effect, single blind study, double blind study, matched pair experiment

Sampling methods and bias with surveys

Key words

voluntary response bias, simple random sampling, non-response bias, underrepresentation, voluntary response bias, stratified random sampling, cluster sampling, snowball sampling, census

probability part 1

key question

data analysis for life science is not enough for concepts understanding
two definitions of probability
addition rule
multiplication rule
independent
conditional probability
type I and II error

probability part 2: updating beliefs

key concepts

conditional probability
Naive Bayes
simulation: sensitivity (true positive), specificity (true negative)
law of large numbers: true prob with large number of trials
the effect of sample size