The reported p-values support these conclusions:
- For product A from factory F1, all 4 tests fail to reject the null hypothesis that the data fit a normal distribution with the specified parameters. All 4 tests reject the null hypothesis that the data fit the specified gamma, Weibull, or uniform distributions.
- For product C from factory F1, all 4 tests fail to reject the null hypothesis that the data fit a Weibull distribution with the specified parameters. All 4 tests reject the null hypothesis that the data fit the specified gamma or uniform distributions.
- For product B from factory F2, all 4 tests reject the null hypothesis for each of the specified distributions.
- For product D from factory F2, all 4 tests fail to reject the null hypothesis that the data fit a uniform distribution with the specified parameters.
distnmatch (Hypothesis Test Mode) Example 2 Output Table Column Name Value -[ RECORD 1 ]------------------------------------------------ ---------------------------------------- factory F1 product A group_size 4000 NORMAL:10000,150_KS_statistic 0.00772035 NORMAL:10000,150_KS_p-value 0.815753 NORMAL:10000,150_CvM_statistic 0.0322619 NORMAL:10000,150_CvM_p-value 0.814989 NORMAL:10000,150_AD_statistic 0.200188 NORMAL:10000,150_AD_p-value 0.883759 NORMAL:10000,150_CHISQ_statistic 6.395 NORMAL:10000,150_CHISQ_p-value 0.494456 GAMMA:1,10000_KS_statistic 0.614549 GAMMA:1,10000_KS_p-value 5.55112e-16 GAMMA:1,10000_CvM_statistic 390.822 GAMMA:1,10000_CvM_p-value 7.37e-10 GAMMA:1,10000_AD_statistic 1781.74 GAMMA:1,10000_AD_p-value 1.5e-07 GAMMA:1,10000_CHISQ_statistic 36000 GAMMA:1,10000_CHISQ_p-value 0 WEIBULL:100,10000_KS_statistic 0.193984 WEIBULL:100,10000_KS_p-value 3.33067e-16 WEIBULL:100,10000_CvM_statistic 53.7847 WEIBULL:100,10000_CvM_p-value 7.37e-10 WEIBULL:100,10000_AD_statistic Infinity WEIBULL:100,10000_AD_p-value 1.5e-07 WEIBULL:100,10000_CHISQ_statistic 1653.06 WEIBULL:100,10000_CHISQ_p-value 0 UNIFORMCONTINUOUS:9500,10500_KS_statistic 0.213031 UNIFORMCONTINUOUS:9500,10500_KS_p-value 0 UNIFORMCONTINUOUS:9500,10500_CvM_statistic 85.2624 UNIFORMCONTINUOUS:9500,10500_CvM_p-value 7.37e-10 UNIFORMCONTINUOUS:9500,10500_AD_statistic Infinity UNIFORMCONTINUOUS:9500,10500_AD_p-value 1.5e-07 UNIFORMCONTINUOUS:9500,10500_CHISQ_statistic 3468.4 UNIFORMCONTINUOUS:9500,10500_CHISQ_p-value 0 -[ RECORD 2 ]------------------------------------------------ ---------------------------------------- factory F1 product C group_size 4000 NORMAL:10000,150_KS_statistic 0.193211 NORMAL:10000,150_KS_p-value 0 NORMAL:10000,150_CvM_statistic 56.5262 NORMAL:10000,150_CvM_p-value 7.37e-10 NORMAL:10000,150_AD_statistic 308.282 NORMAL:10000,150_AD_p-value 0 NORMAL:10000,150_CHISQ_statistic 885.585 NORMAL:10000,150_CHISQ_p-value 0 GAMMA:1,10000_KS_statistic 0.609315 GAMMA:1,10000_KS_p-value 7.77156e-16 GAMMA:1,10000_CvM_statistic 391.021 GAMMA:1,10000_CvM_p-value 7.37e-10 GAMMA:1,10000_AD_statistic 1782.73 GAMMA:1,10000_AD_p-value 1.5e-07 GAMMA:1,10000_CHISQ_statistic 36000 GAMMA:1,10000_CHISQ_p-value 0 WEIBULL:100,10000_KS_statistic 0.0110351 WEIBULL:100,10000_KS_p-value 0.714696 WEIBULL:100,10000_CvM_statistic 0.0825799 WEIBULL:100,10000_CvM_p-value 0.191825 WEIBULL:100,10000_AD_statistic 0.575701 WEIBULL:100,10000_AD_p-value 0.671256 WEIBULL:100,10000_CHISQ_statistic 7.795 WEIBULL:100,10000_CHISQ_p-value 0.55493 UNIFORMCONTINUOUS:9500,10500_KS_statistic 0.348953 UNIFORMCONTINUOUS:9500,10500_KS_p-value 2.22045e-16 UNIFORMCONTINUOUS:9500,10500_CvM_statistic 137.658 UNIFORMCONTINUOUS:9500,10500_CvM_p-value 7.37e-10 UNIFORMCONTINUOUS:9500,10500_AD_statistic Infinity UNIFORMCONTINUOUS:9500,10500_AD_p-value 1.5e-07 UNIFORMCONTINUOUS:9500,10500_CHISQ_statistic 5733.04 UNIFORMCONTINUOUS:9500,10500_CHISQ_p-value 0 -[ RECORD 3 ]------------------------------------------------ ---------------------------------------- factory F2 product B group_size 4000 NORMAL:10000,150_KS_statistic 0.105561 NORMAL:10000,150_KS_p-value 0 NORMAL:10000,150_CvM_statistic 20.4224 NORMAL:10000,150_CvM_p-value 7.37e-10 NORMAL:10000,150_AD_statistic 140.674 NORMAL:10000,150_AD_p-value 0 NORMAL:10000,150_CHISQ_statistic 789.855 NORMAL:10000,150_CHISQ_p-value 0 GAMMA:1,10000_KS_statistic 0.620046 GAMMA:1,10000_KS_p-value 2.88658e-15 GAMMA:1,10000_CvM_statistic 394.989 GAMMA:1,10000_CvM_p-value 7.37e-10 GAMMA:1,10000_AD_statistic 1799.61 GAMMA:1,10000_AD_p-value 1.5e-07 GAMMA:1,10000_CHISQ_statistic 36000 GAMMA:1,10000_CHISQ_p-value 0 WEIBULL:100,10000_KS_statistic 0.156687 WEIBULL:100,10000_KS_p-value 1.11022e-16 WEIBULL:100,10000_CvM_statistic 62.6341 WEIBULL:100,10000_CvM_p-value 7.37e-10 WEIBULL:100,10000_AD_statistic 397.239 WEIBULL:100,10000_AD_p-value 1.5e-07 WEIBULL:100,10000_CHISQ_statistic 825.73 WEIBULL:100,10000_CHISQ_p-value 0 UNIFORMCONTINUOUS:9500,10500_KS_statistic 0.291416 UNIFORMCONTINUOUS:9500,10500_KS_p-value 0 UNIFORMCONTINUOUS:9500,10500_CvM_statistic 148.82 UNIFORMCONTINUOUS:9500,10500_CvM_p-value 7.37e-10 UNIFORMCONTINUOUS:9500,10500_AD_statistic 784.555 UNIFORMCONTINUOUS:9500,10500_AD_p-value 1.5e-07 UNIFORMCONTINUOUS:9500,10500_CHISQ_statistic 6954.15 UNIFORMCONTINUOUS:9500,10500_CHISQ_p-value 0 -[ RECORD 4 ]------------------------------------------------ ---------------------------------------- factory F2 product D group_size 4000 NORMAL:10000,150_KS_statistic 0.208405 NORMAL:10000,150_KS_p-value 0 NORMAL:10000,150_CvM_statistic 82.98 NORMAL:10000,150_CvM_p-value 7.37e-10 NORMAL:10000,150_AD_statistic 1162.94 NORMAL:10000,150_AD_p-value Infinity NORMAL:10000,150_CHISQ_statistic 4221.82 NORMAL:10000,150_CHISQ_p-value 0 GAMMA:1,10000_KS_statistic 0.613272 GAMMA:1,10000_KS_p-value 1.22125e-15 GAMMA:1,10000_CvM_statistic 379.171 GAMMA:1,10000_CvM_p-value 7.37e-10 GAMMA:1,10000_AD_statistic 1731.83 GAMMA:1,10000_AD_p-value 1.5e-07 GAMMA:1,10000_CHISQ_statistic 36000 GAMMA:1,10000_CHISQ_p-value 0 WEIBULL:100,10000_KS_statistic 0.345556 WEIBULL:100,10000_KS_p-value 2.22045e-16 WEIBULL:100,10000_CvM_statistic 137.136 WEIBULL:100,10000_CvM_p-value 7.37e-10 WEIBULL:100,10000_AD_statistic Infinity WEIBULL:100,10000_AD_p-value 1.5e-07 WEIBULL:100,10000_CHISQ_statistic 6596 WEIBULL:100,10000_CHISQ_p-value 0 UNIFORMCONTINUOUS:9500,10500_KS_statistic 0.0112432 UNIFORMCONTINUOUS:9500,10500_KS_p-value 0.69272 UNIFORMCONTINUOUS:9500,10500_CvM_statistic 0.0776112 UNIFORMCONTINUOUS:9500,10500_CvM_p-value 0.222524 UNIFORMCONTINUOUS:9500,10500_AD_statistic 0.53247 UNIFORMCONTINUOUS:9500,10500_AD_p-value 0.713925 UNIFORMCONTINUOUS:9500,10500_CHISQ_statistic 4.445 UNIFORMCONTINUOUS:9500,10500_CHISQ_p-value 0.879764