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KS Test: Results
1 of 2
http://www.physics.csbsju.edu/cgi-bin/stats/KS-test.n.plot
KS Test: Results
Kolmogorov-Smirnov Comparison of Two Data Sets
The results of a Kolmogorov-Smirnov test performed at 16:47 on 19-NOV-2014
The maximum difference between the cumulative distributions, D, is: 0.4588 with a corresponding P of: 0.004
Data Set 1:
(RCS)
26 data points were entered
Mean = 0.3920
95% confidence interval for actual Mean: 0.3540 thru 0.4299
Standard Deviation = 9.399E-02
High = 0.620 Low = 0.142
Third Quartile = 0.452 First Quartile = 0.341
Median = 0.3965
Average Absolute Deviation from Median = 6.826E-02
John Tukey defined data points as outliers if they are 1.5*IQR above the third quartile or below the first quartile. Following Tukey,
the following data points are outliers: 0.142 0.620
KS finds the data is consistent with a normal distribution: P= 0.41 where the normal distribution has mean= 0.3926 and sdev=
0.1210
KS is not particularly happy calling this data log normally distributed: P= 0.14 where the log normal distribution has geometric
mean= 0.3731 and multiplicative sdev= 1.530
Items in Data Set 1:
0.142 0.269 0.269 0.274 0.303 0.339 0.341 0.367 0.374 0.377 0.377 0.386 0.390 0.403 0.409 0.424 0.432 0.434 0.436 0.452
0.453 0.457 0.462 0.477 0.524 0.620
Data Set 2:
(Protvino)
28 data points were entered
Mean = 0.4503
95% confidence interval for actual Mean: 0.3954 thru 0.5052
Standard Deviation = 0.142
High = 0.793 Low = 0.145
Third Quartile = 0.541 First Quartile = 0.405
Median = 0.4789
Average Absolute Deviation from Median = 9.794E-02
John Tukey defined data points as outliers if they are 1.5*IQR above the third quartile or below the first quartile. Following Tukey,
11/19/2014 5:51 PM
KS Test: Results
2 of 2
http://www.physics.csbsju.edu/cgi-bin/stats/KS-test.n.plot
the following data points are outliers: 0.145 0.172 0.181 0.793
KS is not particularly happy calling this data normally distributed: P= 0.17 where the normal distribution has mean= 0.4479 and
sdev= 0.1722
KS says it's unlikely this data is log normally distributed: P= 0.01 where the log normal distribution has geometric mean= 0.4016
and multiplicative sdev= 1.685
Items in Data Set 2:
0.145 0.172 0.181 0.239 0.307 0.338 0.398 0.428 0.440 0.443 0.448 0.452 0.464 0.479 0.479 0.483 0.485 0.494 0.508 0.515
0.521 0.548 0.564 0.566 0.569 0.573 0.578 0.793
Data Reference: 231B
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Make a Comparison Cumulative Fraction Plot
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11/19/2014 5:51 PM
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