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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 Make a Comparison Percentile Plot Format: X Scale Options: Linear Log Y Scale Options: Linear Probability Make a Comparison Cumulative Fraction Plot Format: X Scale Options: Linear Log 11/19/2014 5:51 PM