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-- A cumulative distribution function should be EASY in lua | ||
-- I was going to try to get gnuplot to do it, but I like it | ||
-- as data - I can look at the 50% on a large number of plots | ||
-- and know I'm winning | ||
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-- There happens to be a one liner to do this in gnuplot as well | ||
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-- via: http://www.christian-rossow.de/articles/Cumulative_Distribution_Function_CDF_With_Gnuplot_And_PostgreSQL.php | ||
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SELECT | ||
-- x-value: number of cars | ||
cars AS x, | ||
-- y-value: percentage of days at most x cars passed the street | ||
-- calculated as the number of days with at most x cars devided by | ||
-- the total number days in the measurement period | ||
COUNT(day) OVER (ORDER BY cars) / | ||
(SELECT COUNT(*) FROM cars_per_day)::real AS y | ||
FROM cars_per_day | ||
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In statistics, CDFs are a common way to describe the probability that a random variable Z with a given probability distribution will be found at a value less than or equal to Z. Have a look at Figure 1. It shows a CDF for how many cars are passing on my street per day. You can read it like this: 35 or fewer cars (x-axis) are passing on my street in approximately 60% (y-axis) of all days. | ||
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Now comes the tricky thing. Listing 1 shows how I stored the data in my database. As everyone would do it, I just inserted one row per measurement interval (i.e., a day). | ||
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Listing 1: Plain measurement results in table 'cars_per_day' | ||
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day cars | ||
1 8 | ||
2 25 | ||
3 47 | ||
4 16 | ||
5 25 | ||
6 39 | ||
7 5 | ||
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However, to draw a CDF, gnuplot expects the following format: Given a number of cars Z (x-value), what percentage of days at most Z cars passed on the street? To make this more clear, Listing 2 shows the outcome that gnuplot expects. |
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* Logscale | ||
set logscale y | ||
plot "silver.dat" t "rate" w errorb, \ | ||
"" smooth sbezier t "bezier" | ||
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* multipole data sets | ||
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set xrange [1:8] | ||
#set xdtic | ||
set title "Convex November 1-7 1989" | ||
set key below | ||
set label "(Weekend)" at 5,25 center | ||
plot 'using.dat' using 3:4 title "Logged in" with impulses,\ | ||
'using.dat' using 3:5 t "Load average" with points,\ | ||
'using.dat' using 3:6 t "%CPU used" with lines | ||
unset label | ||
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# set terminal png transparent nocrop enhanced font arial 8 size 420,320 | ||
# set output 'using.2.png' | ||
set key bmargin center horizontal Right noreverse enhanced autotitles box linetype -1 linewidth 1.000 | ||
set title "Convex November 1-7 1989" | ||
set xrange [ 1.00000 : 8.00000 ] noreverse nowriteback | ||
plot 'using.dat' using 3:4 title "Logged in" with impulses, 'using.dat' using 3:5 t "Load average" with points, 'using.dat' using 3:6 t "%CPU used" with lines | ||
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* This gives me my dots | ||
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# | ||
# $Id: random.dem,v 1.12.2.1 2006/10/23 05:43:30 sfeam Exp $ | ||
# | ||
# random.dem | ||
# | ||
# Lattice test for random numbers; | ||
# If you can see any patterns in this plot, the random number generator | ||
# is not very good. | ||
# | ||
# Copyright (c) 1991, Jos van der Woude, jvdwoude@hut.nl | ||
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# History: | ||
# - 6. 6. 2006 ds: added univariate and multivariate normal example | ||
# - 10. 5. 2006 ds: added univariate and multivariate normal example | ||
# - ?. ? 1991 jvdw: 1st version | ||
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unset key | ||
set xrange [0: 1] | ||
set yrange [0: 1] | ||
set zrange [0: 1] | ||
set title "Lattice test for random numbers" | ||
set xlabel "rand(n) ->" | ||
set ylabel "rand(n + 1) ->" | ||
set zlabel "rand(n + 2) ->" | ||
set format x "%3.2f" | ||
set format y "%3.2f" | ||
set format z "%3.2f" | ||
set tics | ||
set sample 1000 | ||
set style function dots | ||
set parametric | ||
plot rand(0), rand(0) | ||
** | ||
set terminal png transparent nocrop enhanced font arial 8 size 1000,1000 | ||
set output 'random.1.png' | ||
set dummy t,y | ||
set format x "%3.2f" | ||
set format y "%3.2f" | ||
set format z "%3.2f" | ||
unset key | ||
set parametric | ||
set samples 1000, 1000 | ||
set style function dots | ||
set title "Lattice test for random numbers" | ||
set xlabel "rand(n) ->" | ||
set xrange [ 0.00000 : 1.00000 ] noreverse nowriteback | ||
set ylabel "rand(n + 1) ->" | ||
set yrange [ 0.00000 : 1.00000 ] noreverse nowriteback | ||
set zlabel "rand(n + 2) ->" | ||
set zrange [ 0.00000 : 1.00000 ] noreverse nowriteback | ||
plot rand(0), rand(0) | ||
* Colors | ||
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set border -1 front linetype -1 linewidth 1.000 | ||
set ticslevel 0 | ||
set xtics border | ||
set ytics border | ||
set ztics border | ||
set xlabel "Red" tc rgb "red" | ||
set xrange [0:255] | ||
set ylabel "Green" tc rgb "green" | ||
set yrange [0:255] | ||
set zlabel "Blue" tc rgb "blue" | ||
set zrange [0:255] | ||
# | ||
rgb(r,g,b) = int(r)*65536 + int(g)*256 + int(b) | ||
# | ||
splot 'rgb_variable.dat' using 1:2:3:(rgb($1,$2,$3)) with points pt 7 ps 4 lc rgb variable, \ | ||
'' using 1:2:3:(sprintf("0x%x",rgb($1,$2,$3))) with labels left offset 1 notitle | ||
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l.10 \PreviewEnvironment | ||
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