------------------------------------------------------------------------------ RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE PROPORTION OF PASSING SEQUENCES ------------------------------------------------------------------------------ generator is <../random/26.txt> ------------------------------------------------------------------------------ C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 P-VALUE PROPORTION STATISTICAL TEST ------------------------------------------------------------------------------ 7 2 2 4 3 2 3 4 2 3 0.602458 30/32 Frequency 32 0 0 0 0 0 0 0 0 0 0.000000 * 3/32 * BlockFrequency 7 3 2 4 5 2 4 3 2 0 0.253551 30/32 CumulativeSums 7 2 5 4 2 3 4 3 1 1 0.299251 30/32 CumulativeSums 10 3 2 1 4 2 5 2 2 1 0.008879 31/32 Runs 11 4 1 3 2 2 0 5 4 0 0.000259 30/32 LongestRun 1 1 5 4 1 4 3 4 4 5 0.534146 32/32 Rank 28 4 0 0 0 0 0 0 0 0 0.000000 * 13/32 * FFT 8 5 5 2 4 1 2 4 1 0 0.035174 31/32 NonOverlappingTemplate 6 4 4 2 9 1 1 1 3 1 0.011250 32/32 NonOverlappingTemplate 5 3 1 4 3 4 3 4 3 2 0.911413 32/32 NonOverlappingTemplate 2 6 4 4 3 3 1 2 5 2 0.602458 32/32 NonOverlappingTemplate 3 3 2 5 2 4 3 6 4 0 0.468595 31/32 NonOverlappingTemplate 3 6 3 1 5 4 1 6 1 2 0.213309 31/32 NonOverlappingTemplate 4 2 4 7 3 3 5 1 1 2 0.299251 32/32 NonOverlappingTemplate 2 2 6 4 4 3 4 1 3 3 0.739918 31/32 NonOverlappingTemplate 4 9 1 2 5 3 2 2 3 1 0.043745 32/32 NonOverlappingTemplate 5 3 2 2 3 1 3 3 7 3 0.468595 32/32 NonOverlappingTemplate 4 2 2 7 4 2 2 4 1 4 0.407091 31/32 NonOverlappingTemplate 7 2 2 4 4 0 2 5 4 2 0.213309 29/32 NonOverlappingTemplate 4 3 2 4 7 2 2 4 1 3 0.468595 32/32 NonOverlappingTemplate 4 5 4 0 7 1 1 6 3 1 0.043745 32/32 NonOverlappingTemplate 2 1 5 5 2 7 1 4 4 1 0.148094 31/32 NonOverlappingTemplate 4 6 3 5 2 0 3 1 5 3 0.299251 32/32 NonOverlappingTemplate 3 4 4 5 0 3 6 3 2 2 0.468595 31/32 NonOverlappingTemplate 4 1 1 1 2 4 6 8 2 3 0.054199 32/32 NonOverlappingTemplate 1 6 3 3 2 2 1 5 6 3 0.299251 32/32 NonOverlappingTemplate 4 2 1 3 7 3 2 1 7 2 0.100508 32/32 NonOverlappingTemplate 7 4 7 3 3 2 2 2 0 2 0.082177 31/32 NonOverlappingTemplate 5 3 2 6 6 1 3 6 0 0 0.035174 31/32 NonOverlappingTemplate 2 3 2 5 3 7 2 3 2 3 0.534146 32/32 NonOverlappingTemplate 3 1 3 6 1 4 5 4 3 2 0.534146 32/32 NonOverlappingTemplate 3 5 2 3 1 5 4 3 3 3 0.862344 31/32 NonOverlappingTemplate 3 2 5 1 2 2 6 6 3 2 0.350485 32/32 NonOverlappingTemplate 7 2 0 3 2 3 7 4 4 0 0.035174 31/32 NonOverlappingTemplate 0 5 4 4 3 3 3 3 3 4 0.804337 32/32 NonOverlappingTemplate 6 0 0 5 4 4 6 1 4 2 0.066882 32/32 NonOverlappingTemplate 7 5 2 2 3 1 5 0 3 4 0.148094 30/32 NonOverlappingTemplate 3 4 1 3 3 4 3 4 4 3 0.976060 31/32 NonOverlappingTemplate 7 4 5 5 1 2 2 1 2 3 0.213309 31/32 NonOverlappingTemplate 6 4 7 2 4 1 2 3 1 2 0.178278 31/32 NonOverlappingTemplate 4 4 3 4 4 5 2 1 5 0 0.468595 31/32 NonOverlappingTemplate 6 3 0 1 6 5 3 3 1 4 0.148094 29/32 NonOverlappingTemplate 5 4 6 4 2 5 1 4 1 0 0.178278 32/32 NonOverlappingTemplate 2 4 3 5 2 1 8 4 1 2 0.122325 32/32 NonOverlappingTemplate 3 3 2 4 3 6 1 1 5 4 0.534146 32/32 NonOverlappingTemplate 7 5 4 1 4 3 2 2 1 3 0.299251 30/32 NonOverlappingTemplate 4 4 4 5 2 1 7 0 2 3 0.178278 32/32 NonOverlappingTemplate 4 2 3 7 5 2 1 2 4 2 0.350485 31/32 NonOverlappingTemplate 3 3 5 6 5 3 4 2 0 1 0.299251 32/32 NonOverlappingTemplate 5 2 5 4 3 4 5 0 4 0 0.253551 32/32 NonOverlappingTemplate 3 3 3 2 1 5 5 3 6 1 0.468595 32/32 NonOverlappingTemplate 5 1 2 5 2 4 2 5 2 4 0.602458 31/32 NonOverlappingTemplate 2 5 5 4 6 3 3 1 0 3 0.299251 31/32 NonOverlappingTemplate 6 1 4 3 1 4 3 1 5 4 0.407091 31/32 NonOverlappingTemplate 4 1 4 1 4 5 1 1 4 7 0.148094 32/32 NonOverlappingTemplate 4 3 4 3 3 1 1 5 2 6 0.534146 31/32 NonOverlappingTemplate 1 8 0 3 3 2 2 4 4 5 0.082177 32/32 NonOverlappingTemplate 0 2 7 6 0 5 3 3 2 4 0.054199 32/32 NonOverlappingTemplate 4 3 5 3 1 3 5 6 2 0 0.299251 31/32 NonOverlappingTemplate 2 4 3 3 4 5 2 5 2 2 0.862344 32/32 NonOverlappingTemplate 4 2 7 4 2 4 1 5 2 1 0.253551 32/32 NonOverlappingTemplate 8 3 1 0 3 3 5 1 1 7 0.008879 32/32 NonOverlappingTemplate 7 6 3 4 3 3 2 1 1 2 0.213309 31/32 NonOverlappingTemplate 5 3 5 3 5 1 2 3 2 3 0.739918 32/32 NonOverlappingTemplate 4 7 2 3 3 4 3 1 0 5 0.213309 32/32 NonOverlappingTemplate 2 3 6 3 6 2 2 1 4 3 0.468595 32/32 NonOverlappingTemplate 6 5 1 2 2 4 2 1 6 3 0.253551 32/32 NonOverlappingTemplate 4 6 5 2 5 3 0 2 4 1 0.253551 31/32 NonOverlappingTemplate 2 3 4 5 4 6 2 2 3 1 0.602458 32/32 NonOverlappingTemplate 2 5 1 5 7 3 4 2 1 2 0.213309 32/32 NonOverlappingTemplate 2 2 5 4 1 4 5 3 2 4 0.739918 32/32 NonOverlappingTemplate 3 2 4 3 2 7 2 1 4 4 0.468595 32/32 NonOverlappingTemplate 3 5 4 1 0 5 4 3 2 5 0.407091 32/32 NonOverlappingTemplate 4 3 6 4 1 5 3 2 2 2 0.602458 32/32 NonOverlappingTemplate 4 4 0 4 3 2 3 5 4 3 0.739918 32/32 NonOverlappingTemplate 4 4 3 5 3 4 1 1 4 3 0.804337 32/32 NonOverlappingTemplate 2 3 1 4 9 1 1 1 3 7 0.005490 32/32 NonOverlappingTemplate 3 1 8 6 3 4 1 0 2 4 0.035174 32/32 NonOverlappingTemplate 5 5 6 1 0 3 1 1 6 4 0.066882 31/32 NonOverlappingTemplate 3 2 4 3 3 2 4 4 4 3 0.991468 32/32 NonOverlappingTemplate 9 8 3 2 2 4 2 1 0 1 0.001232 29/32 NonOverlappingTemplate 8 5 5 3 3 1 2 4 1 0 0.043745 31/32 NonOverlappingTemplate 3 6 4 0 2 3 2 3 9 0 0.008879 32/32 NonOverlappingTemplate 7 4 2 6 3 1 2 2 1 4 0.178278 32/32 NonOverlappingTemplate 3 6 0 6 4 2 3 3 1 4 0.253551 32/32 NonOverlappingTemplate 4 6 6 4 1 3 3 1 1 3 0.299251 32/32 NonOverlappingTemplate 3 2 2 5 5 4 3 3 4 1 0.804337 31/32 NonOverlappingTemplate 4 5 2 4 3 5 2 2 3 2 0.862344 32/32 NonOverlappingTemplate 2 2 5 2 3 4 4 4 3 3 0.949602 32/32 NonOverlappingTemplate 4 2 4 3 4 2 1 1 4 7 0.350485 32/32 NonOverlappingTemplate 3 5 3 3 2 2 3 1 5 5 0.739918 31/32 NonOverlappingTemplate 5 2 5 4 3 1 3 1 2 6 0.407091 32/32 NonOverlappingTemplate 8 4 1 5 3 2 3 1 2 3 0.148094 31/32 NonOverlappingTemplate 5 3 2 9 5 2 2 1 1 2 0.028181 32/32 NonOverlappingTemplate 3 5 3 4 4 0 4 1 4 4 0.602458 31/32 NonOverlappingTemplate 4 5 6 4 1 1 4 1 4 2 0.350485 32/32 NonOverlappingTemplate 2 5 3 4 1 3 6 6 2 0 0.178278 32/32 NonOverlappingTemplate 4 6 2 3 0 4 2 4 3 4 0.534146 32/32 NonOverlappingTemplate 5 1 2 3 3 5 4 5 4 0 0.407091 31/32 NonOverlappingTemplate 5 1 4 3 2 7 4 2 3 1 0.299251 31/32 NonOverlappingTemplate 3 2 4 4 4 4 0 2 5 4 0.671779 32/32 NonOverlappingTemplate 4 2 4 2 6 4 3 2 2 3 0.804337 31/32 NonOverlappingTemplate 3 3 4 1 5 4 2 3 4 3 0.911413 32/32 NonOverlappingTemplate 9 4 2 1 3 0 3 2 6 2 0.014216 31/32 NonOverlappingTemplate 3 3 7 1 2 4 4 5 2 1 0.299251 32/32 NonOverlappingTemplate 4 4 2 2 2 0 4 4 8 2 0.122325 31/32 NonOverlappingTemplate 3 4 6 4 2 1 5 0 3 4 0.350485 32/32 NonOverlappingTemplate 8 3 3 2 5 3 3 1 2 2 0.213309 29/32 NonOverlappingTemplate 4 3 2 3 7 2 1 7 2 1 0.100508 31/32 NonOverlappingTemplate 4 6 3 3 4 3 2 4 2 1 0.739918 32/32 NonOverlappingTemplate 2 4 4 5 4 3 5 3 1 1 0.671779 31/32 NonOverlappingTemplate 5 5 5 4 4 1 4 1 3 0 0.299251 31/32 NonOverlappingTemplate 3 5 3 3 2 2 2 7 1 4 0.407091 32/32 NonOverlappingTemplate 2 6 5 4 6 1 1 5 1 1 0.100508 32/32 NonOverlappingTemplate 7 5 1 2 4 2 3 1 4 3 0.299251 31/32 NonOverlappingTemplate 3 2 7 2 2 2 3 4 4 3 0.602458 32/32 NonOverlappingTemplate 3 3 4 5 2 1 6 5 3 0 0.299251 32/32 NonOverlappingTemplate 10 5 4 3 2 1 0 2 3 2 0.005490 31/32 NonOverlappingTemplate 7 2 4 2 2 2 4 1 5 3 0.350485 31/32 NonOverlappingTemplate 3 5 6 5 5 1 0 2 3 2 0.213309 30/32 NonOverlappingTemplate 3 3 8 2 0 4 4 1 2 5 0.082177 32/32 NonOverlappingTemplate 5 3 3 2 3 3 2 2 6 3 0.804337 32/32 NonOverlappingTemplate 3 1 5 3 6 5 2 3 3 1 0.468595 32/32 NonOverlappingTemplate 4 3 3 3 4 5 4 0 3 3 0.804337 32/32 NonOverlappingTemplate 6 5 2 1 2 4 1 4 1 6 0.178278 32/32 NonOverlappingTemplate 6 6 3 2 4 3 2 1 2 3 0.468595 31/32 NonOverlappingTemplate 7 4 3 4 5 0 1 6 1 1 0.043745 32/32 NonOverlappingTemplate 6 4 0 7 2 1 2 2 6 2 0.043745 30/32 NonOverlappingTemplate 8 1 2 2 2 5 5 2 4 1 0.082177 30/32 NonOverlappingTemplate 5 3 1 5 3 1 5 3 4 2 0.602458 30/32 NonOverlappingTemplate 4 3 3 2 5 0 3 6 1 5 0.299251 30/32 NonOverlappingTemplate 7 3 4 2 3 3 2 4 2 2 0.602458 32/32 NonOverlappingTemplate 4 4 2 3 1 3 5 4 4 2 0.862344 29/32 NonOverlappingTemplate 3 6 3 2 1 5 1 3 5 3 0.468595 32/32 NonOverlappingTemplate 7 6 5 3 2 3 4 0 1 1 0.066882 30/32 NonOverlappingTemplate 3 4 3 7 5 1 1 6 0 2 0.066882 31/32 NonOverlappingTemplate 6 4 1 4 6 4 2 2 2 1 0.299251 32/32 NonOverlappingTemplate 4 3 2 3 6 3 4 1 4 2 0.739918 32/32 NonOverlappingTemplate 8 4 3 2 0 1 5 4 0 5 0.022503 31/32 NonOverlappingTemplate 9 0 9 3 1 1 3 1 3 2 0.000259 31/32 NonOverlappingTemplate 8 0 3 2 3 2 4 5 4 1 0.082177 30/32 NonOverlappingTemplate 4 2 5 2 4 4 1 5 3 2 0.739918 32/32 NonOverlappingTemplate 4 5 0 6 2 2 3 4 1 5 0.253551 32/32 NonOverlappingTemplate 7 6 3 3 1 1 3 4 1 3 0.178278 32/32 NonOverlappingTemplate 5 4 2 2 4 4 2 6 2 1 0.534146 30/32 NonOverlappingTemplate 5 3 5 2 6 2 2 3 0 4 0.350485 29/32 NonOverlappingTemplate 3 4 7 2 5 1 3 3 3 1 0.350485 31/32 NonOverlappingTemplate 9 4 2 3 1 4 3 0 2 4 0.035174 32/32 NonOverlappingTemplate 6 6 1 3 3 2 4 2 2 3 0.468595 32/32 NonOverlappingTemplate 4 4 7 5 4 4 0 1 2 1 0.122325 32/32 NonOverlappingTemplate 6 2 5 1 1 5 2 2 6 2 0.178278 30/32 NonOverlappingTemplate 8 3 2 1 3 5 5 3 1 1 0.082177 30/32 NonOverlappingTemplate 8 4 5 4 3 4 0 2 0 2 0.043745 32/32 NonOverlappingTemplate 8 5 2 2 2 1 4 3 3 2 0.178278 27/32 * NonOverlappingTemplate 10 7 3 2 2 4 2 1 0 1 0.000737 29/32 NonOverlappingTemplate 3 4 4 1 0 6 5 2 4 3 0.350485 32/32 OverlappingTemplate 30 0 0 1 0 1 0 0 0 0 0.000000 * 5/32 * Universal 7 6 2 4 2 1 5 2 3 0 0.082177 30/32 ApproximateEntropy 1 3 0 0 1 2 3 2 1 2 0.162606 15/15 RandomExcursions 2 1 0 1 2 1 2 2 1 3 0.437274 15/15 RandomExcursions 3 0 2 1 1 2 2 2 0 2 0.275709 15/15 RandomExcursions 3 4 1 0 4 0 0 2 1 0 0.001399 15/15 RandomExcursions 1 1 2 2 3 0 1 1 3 1 0.275709 15/15 RandomExcursions 1 3 3 0 1 1 2 3 1 0 0.090936 14/15 RandomExcursions 0 1 1 2 0 4 1 1 3 2 0.048716 15/15 RandomExcursions 1 1 0 2 1 0 4 2 2 2 0.090936 15/15 RandomExcursions 0 3 2 2 1 1 0 2 1 3 0.162606 15/15 RandomExcursionsVariant 1 1 3 1 1 1 2 3 0 2 0.275709 15/15 RandomExcursionsVariant 1 1 2 0 1 2 4 2 1 1 0.162606 15/15 RandomExcursionsVariant 1 0 4 0 2 0 3 1 1 3 0.012650 15/15 RandomExcursionsVariant 0 2 1 1 1 2 1 3 2 2 0.437274 15/15 RandomExcursionsVariant 0 1 3 1 1 0 3 2 3 1 0.090936 15/15 RandomExcursionsVariant 0 2 2 2 1 0 2 4 1 1 0.090936 15/15 RandomExcursionsVariant 1 1 2 2 1 0 4 1 2 1 0.162606 15/15 RandomExcursionsVariant 1 0 2 2 1 1 6 0 0 2 0.000296 15/15 RandomExcursionsVariant 1 0 4 1 1 0 3 2 1 2 0.048716 15/15 RandomExcursionsVariant 0 1 0 4 2 0 1 2 5 0 0.000296 15/15 RandomExcursionsVariant 0 1 1 4 0 1 1 2 5 0 0.000648 15/15 RandomExcursionsVariant 0 1 4 1 1 0 3 3 1 1 0.025193 15/15 RandomExcursionsVariant 1 1 2 1 3 0 2 2 2 1 0.437274 15/15 RandomExcursionsVariant 1 1 1 3 0 5 1 1 1 1 0.012650 15/15 RandomExcursionsVariant 1 0 4 1 1 1 3 1 3 0 0.025193 15/15 RandomExcursionsVariant 1 1 2 2 1 1 2 3 2 0 0.437274 15/15 RandomExcursionsVariant 0 1 3 2 2 1 1 2 2 1 0.437274 15/15 RandomExcursionsVariant 6 0 4 2 3 2 5 2 2 6 0.213309 32/32 Serial 1 4 3 2 2 5 4 1 4 6 0.468595 32/32 Serial 3 4 4 6 3 1 0 3 3 5 0.407091 32/32 LinearComplexity - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - The minimum pass rate for each statistical test with the exception of the random excursion (variant) test is approximately = 29 for a sample size = 32 binary sequences. The minimum pass rate for the random excursion (variant) test is approximately = 13 for a sample size = 15 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -