http://www.hostmypic.net/pictures/93969c88a3ecaac84ba81c8d38...
And it is almost obvious that we have two data sets: (A, D, E) and (B, C, F)
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http://www.hostmypic.net/pictures/93969c88a3ecaac84ba81c8d38...
And it is almost obvious that we have two data sets: (A, D, E) and (B, C, F)
Standard dev seamed to be enough. I sorted and graphed the data to to be sure.
I used my app https://app.prettygraph.com to quickly look at the histograms. B and F look almost identical with a very normal distribution. The others look more like twin-peaks. Edit: If you want to try, copy the data and click the "Paste data from Excel link" on the left under the Data Tab, paste and load. Then choose histogram under the Graph tab. It plots the X var (ignores Y). Sorry it's a bit shabby, I haven't w…
Nice app! Computing the histogram hung on the Apple stock data for me.
Here's the result in Excel: http://ii.snag.gy/vSt4H.jpg
Alison's lists are A, D and E
Charlie's lists are B, C and F
I would use my right hand to slap Alison and Charlie and get them to do their work again... this time forcing them to label their samples. I would then take them into my office and hold an inquest on how two completely different data-sets got mixed up in the first place. At which point I would probably find out Alison and Charlie have been knocking boots on company time.. Alison and Charlie would then be fired as thi…
You're on the management fast track aren't you ?
It's in scipy.stats.ks_2samp
Results:
Sets| D |p-value
-----------------
A,C |0.275|0.080|
B,C |0.175|0.531|
-----------------
A,D |0.125|0.893|
B,D |0.275|0.080|
-----------------
A,E |0.100|0.983|
B,E |0.300|0.043|
-----------------
A,F |0.300|0.043|
B,F |0.100|0.983|
-----------------
As far as the test goes, if D is small and p is high, you cannot reject the hypothesis that the two datasets came from the same distribution. The p-value is roughly how often, randomly you would get similar looking data assuming the null hypothesis (in this case that they are drawn from the same dataset)
In light of this evidence, if they are not lying to us, and really each of these sets came from and A-like or B-like distribution, I'd say fairly confidently that:
F is B-like
E is A-like
D is A-like and
C is B-like (though with lower confidence)
The box-plot: http://i.imgur.com/epPw7.png seems to confirm.
Since each list is independent, sort them individually and graph them. Here's the result in Excel: http://ii.snag.gy/vSt4H.jpg Alison's lists are A, D and E Charlie's lists are B, C and F
For the sake of completeness, my first steps before sorting and plotting were to:
1. take the mean, median and mode of each set,
2. try and fail to use more sophisticated statistical analysis [1],
3. have a look at the minimum and maximum value for each set.
By #3 I already had a good enough guess, but I felt I had to see it.[1] In fact, could anyone point me to a refresher? I'm talking about distribution curves, regression, that kind of thing. I seem to have lost hang of it — couldn't pass my own "5 minutes to implement the simple thing" criterion.
Bash for i in {1..6}; do COL='$'$i; awk -F, "{delta = $COL - avg; avg += delta / NR; mean2 += delta * ($COL - avg); } END { print sqrt(mean2 / NR); }" list.csv; done [troll]