------------------------------------------------------------------------------ RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE PROPORTION OF PASSING SEQUENCES ------------------------------------------------------------------------------ generator is <../random/29.txt> ------------------------------------------------------------------------------ C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 P-VALUE PROPORTION STATISTICAL TEST ------------------------------------------------------------------------------ 22 2 1 2 2 0 0 2 1 0 0.000000 * 24/32 * Frequency 12 8 4 2 1 2 2 0 1 0 0.000001 * 30/32 BlockFrequency 19 6 0 2 0 3 0 0 2 0 0.000000 * 27/32 * CumulativeSums 19 4 1 3 2 1 0 0 0 2 0.000000 * 24/32 * CumulativeSums 3 6 3 2 7 2 2 2 1 4 0.253551 31/32 Runs 9 4 4 3 3 2 1 4 1 1 0.043745 30/32 LongestRun 3 4 5 4 7 1 2 4 1 1 0.213309 32/32 Rank 0 2 2 8 3 4 0 2 3 8 0.004301 32/32 FFT 3 3 4 5 2 6 1 4 2 2 0.602458 32/32 NonOverlappingTemplate 1 5 1 4 5 4 4 1 2 5 0.407091 31/32 NonOverlappingTemplate 6 1 0 5 2 5 2 5 1 5 0.100508 31/32 NonOverlappingTemplate 4 1 4 4 4 4 2 3 4 2 0.911413 31/32 NonOverlappingTemplate 3 0 6 1 4 4 4 4 5 1 0.253551 32/32 NonOverlappingTemplate 3 3 5 3 1 3 4 2 5 3 0.862344 32/32 NonOverlappingTemplate 1 3 1 3 4 0 5 5 5 5 0.253551 32/32 NonOverlappingTemplate 2 3 3 5 5 5 1 1 3 4 0.602458 32/32 NonOverlappingTemplate 3 4 1 7 5 3 3 4 1 1 0.253551 31/32 NonOverlappingTemplate 4 4 4 1 2 2 6 3 1 5 0.468595 32/32 NonOverlappingTemplate 2 1 3 5 6 4 4 2 5 0 0.253551 31/32 NonOverlappingTemplate 2 8 1 3 4 3 3 4 1 3 0.213309 31/32 NonOverlappingTemplate 5 5 2 6 3 3 0 2 3 3 0.407091 32/32 NonOverlappingTemplate 1 5 5 1 4 4 1 6 3 2 0.299251 32/32 NonOverlappingTemplate 3 2 3 5 2 4 4 3 3 3 0.976060 32/32 NonOverlappingTemplate 1 7 3 4 5 2 2 5 2 1 0.213309 31/32 NonOverlappingTemplate 5 6 1 1 4 2 2 6 2 3 0.253551 31/32 NonOverlappingTemplate 1 2 4 5 5 1 2 3 4 5 0.534146 32/32 NonOverlappingTemplate 5 3 2 3 5 1 0 4 3 6 0.299251 31/32 NonOverlappingTemplate 3 4 2 2 4 1 3 6 5 2 0.602458 32/32 NonOverlappingTemplate 5 1 2 3 3 5 3 2 1 7 0.253551 32/32 NonOverlappingTemplate 6 3 5 4 3 1 4 0 3 3 0.407091 31/32 NonOverlappingTemplate 3 3 5 3 1 4 4 5 2 2 0.804337 32/32 NonOverlappingTemplate 3 2 3 3 2 4 4 2 2 7 0.602458 32/32 NonOverlappingTemplate 4 6 2 2 2 4 4 5 1 2 0.534146 32/32 NonOverlappingTemplate 1 1 4 4 5 1 3 3 4 6 0.407091 31/32 NonOverlappingTemplate 5 3 5 5 5 1 2 2 0 4 0.299251 31/32 NonOverlappingTemplate 4 1 4 5 2 4 2 4 3 3 0.862344 31/32 NonOverlappingTemplate 4 3 7 6 1 1 4 2 4 0 0.082177 31/32 NonOverlappingTemplate 3 4 1 1 6 4 4 5 0 4 0.253551 32/32 NonOverlappingTemplate 3 3 6 3 3 4 1 2 3 4 0.804337 32/32 NonOverlappingTemplate 7 0 3 2 1 4 3 7 5 0 0.017912 31/32 NonOverlappingTemplate 0 3 3 7 8 3 3 1 2 2 0.028181 32/32 NonOverlappingTemplate 3 3 3 2 2 4 5 3 4 3 0.976060 31/32 NonOverlappingTemplate 1 4 2 7 5 1 7 2 1 2 0.043745 32/32 NonOverlappingTemplate 4 3 1 3 9 3 2 2 4 1 0.066882 32/32 NonOverlappingTemplate 4 5 4 3 5 5 3 1 0 2 0.407091 31/32 NonOverlappingTemplate 5 2 4 2 2 5 2 2 4 4 0.804337 32/32 NonOverlappingTemplate 3 3 6 7 4 0 3 2 3 1 0.148094 31/32 NonOverlappingTemplate 4 5 6 5 5 0 3 1 2 1 0.148094 30/32 NonOverlappingTemplate 1 3 0 5 4 5 5 1 6 2 0.148094 32/32 NonOverlappingTemplate 1 5 3 3 2 2 8 2 4 2 0.178278 32/32 NonOverlappingTemplate 3 2 7 3 4 2 4 1 3 3 0.534146 32/32 NonOverlappingTemplate 2 3 2 2 7 4 2 3 3 4 0.602458 32/32 NonOverlappingTemplate 5 4 2 5 3 1 4 3 1 4 0.671779 32/32 NonOverlappingTemplate 3 0 5 4 5 4 2 4 3 2 0.602458 31/32 NonOverlappingTemplate 5 2 3 2 4 1 5 4 5 1 0.534146 32/32 NonOverlappingTemplate 6 1 5 4 3 3 3 4 1 2 0.534146 31/32 NonOverlappingTemplate 3 1 6 0 6 2 6 2 3 3 0.122325 32/32 NonOverlappingTemplate 2 3 5 0 4 3 5 3 4 3 0.671779 31/32 NonOverlappingTemplate 3 2 3 2 3 4 8 2 4 1 0.253551 32/32 NonOverlappingTemplate 7 4 4 5 2 3 4 0 1 2 0.178278 32/32 NonOverlappingTemplate 4 2 1 2 2 3 3 3 6 6 0.468595 32/32 NonOverlappingTemplate 3 1 3 4 3 4 2 3 3 6 0.804337 32/32 NonOverlappingTemplate 1 2 8 5 4 1 3 3 3 2 0.148094 31/32 NonOverlappingTemplate 2 2 2 6 4 5 2 3 4 2 0.671779 32/32 NonOverlappingTemplate 4 5 2 3 3 1 4 2 5 3 0.804337 32/32 NonOverlappingTemplate 1 3 5 4 0 3 4 0 7 5 0.066882 32/32 NonOverlappingTemplate 2 5 5 5 1 2 4 1 0 7 0.066882 32/32 NonOverlappingTemplate 5 3 7 2 4 4 1 3 0 3 0.213309 32/32 NonOverlappingTemplate 3 4 0 5 0 4 7 4 3 2 0.122325 32/32 NonOverlappingTemplate 4 3 4 5 6 2 5 1 1 1 0.299251 32/32 NonOverlappingTemplate 5 4 5 2 5 1 3 3 3 1 0.602458 32/32 NonOverlappingTemplate 5 5 8 2 5 2 1 1 3 0 0.028181 31/32 NonOverlappingTemplate 2 2 5 2 5 1 5 5 2 3 0.534146 32/32 NonOverlappingTemplate 5 4 5 3 6 2 2 3 1 1 0.407091 31/32 NonOverlappingTemplate 4 4 1 4 4 4 0 4 4 3 0.671779 32/32 NonOverlappingTemplate 4 0 6 2 6 4 1 3 4 2 0.213309 32/32 NonOverlappingTemplate 6 6 6 2 3 1 2 3 1 2 0.178278 31/32 NonOverlappingTemplate 4 8 4 2 1 4 1 2 3 3 0.178278 32/32 NonOverlappingTemplate 6 4 2 5 2 4 2 2 1 4 0.534146 30/32 NonOverlappingTemplate 3 3 6 1 3 2 5 4 3 2 0.671779 31/32 NonOverlappingTemplate 3 2 3 5 2 3 2 4 1 7 0.407091 31/32 NonOverlappingTemplate 8 6 2 5 4 2 2 0 3 0 0.017912 30/32 NonOverlappingTemplate 3 3 4 5 2 6 1 4 2 2 0.602458 32/32 NonOverlappingTemplate 7 2 2 4 3 3 1 6 1 3 0.213309 32/32 NonOverlappingTemplate 5 3 2 2 2 4 3 5 4 2 0.862344 31/32 NonOverlappingTemplate 1 5 3 6 3 4 5 2 0 3 0.299251 32/32 NonOverlappingTemplate 2 5 3 6 3 1 3 5 2 2 0.534146 32/32 NonOverlappingTemplate 4 5 3 1 2 7 0 3 6 1 0.066882 32/32 NonOverlappingTemplate 3 4 4 4 4 1 3 4 3 2 0.949602 32/32 NonOverlappingTemplate 2 1 2 6 5 6 2 2 3 3 0.350485 32/32 NonOverlappingTemplate 3 4 1 5 1 6 2 3 4 3 0.534146 32/32 NonOverlappingTemplate 0 7 0 4 4 3 2 7 3 2 0.035174 32/32 NonOverlappingTemplate 4 1 6 7 1 2 4 2 3 2 0.178278 32/32 NonOverlappingTemplate 7 5 2 4 5 3 0 3 1 2 0.148094 32/32 NonOverlappingTemplate 2 4 5 4 1 4 4 2 1 5 0.602458 32/32 NonOverlappingTemplate 4 5 4 4 3 0 5 3 3 1 0.534146 32/32 NonOverlappingTemplate 2 2 6 5 1 2 2 3 7 2 0.178278 32/32 NonOverlappingTemplate 5 6 7 4 1 2 2 0 2 3 0.082177 32/32 NonOverlappingTemplate 2 2 3 5 7 1 1 4 5 2 0.213309 31/32 NonOverlappingTemplate 5 2 9 1 5 4 1 2 2 1 0.017912 32/32 NonOverlappingTemplate 6 4 4 2 3 4 2 5 1 1 0.468595 32/32 NonOverlappingTemplate 3 4 1 3 4 7 0 3 5 2 0.213309 31/32 NonOverlappingTemplate 5 0 1 6 5 2 3 1 3 6 0.100508 32/32 NonOverlappingTemplate 2 3 3 4 7 4 5 2 1 1 0.299251 31/32 NonOverlappingTemplate 3 2 0 1 2 6 4 8 1 5 0.022503 31/32 NonOverlappingTemplate 1 3 4 1 2 5 4 1 4 7 0.213309 32/32 NonOverlappingTemplate 3 3 3 5 1 6 3 6 1 1 0.253551 32/32 NonOverlappingTemplate 14 5 1 3 0 1 1 4 2 1 0.000000 * 27/32 * NonOverlappingTemplate 4 4 3 3 3 2 3 4 5 1 0.911413 31/32 NonOverlappingTemplate 4 3 3 5 5 2 2 4 2 2 0.862344 31/32 NonOverlappingTemplate 1 4 4 2 2 3 3 9 2 2 0.082177 32/32 NonOverlappingTemplate 1 3 3 2 4 6 3 3 5 2 0.671779 32/32 NonOverlappingTemplate 4 5 3 2 2 2 1 4 5 4 0.739918 32/32 NonOverlappingTemplate 4 2 5 1 4 2 3 5 3 3 0.804337 32/32 NonOverlappingTemplate 3 3 1 5 4 3 5 3 2 3 0.862344 32/32 NonOverlappingTemplate 0 4 2 5 3 7 3 2 2 4 0.253551 32/32 NonOverlappingTemplate 4 3 2 4 1 3 7 1 4 3 0.407091 31/32 NonOverlappingTemplate 3 2 6 4 2 6 4 2 2 1 0.407091 32/32 NonOverlappingTemplate 5 3 3 2 4 5 5 2 1 2 0.671779 32/32 NonOverlappingTemplate 3 6 2 3 1 2 3 2 4 6 0.468595 32/32 NonOverlappingTemplate 2 1 1 3 4 5 5 1 4 6 0.299251 32/32 NonOverlappingTemplate 5 4 3 4 3 4 0 3 3 3 0.804337 32/32 NonOverlappingTemplate 7 2 1 4 1 3 4 3 2 5 0.299251 32/32 NonOverlappingTemplate 3 5 5 5 1 2 2 5 3 1 0.468595 31/32 NonOverlappingTemplate 4 1 4 4 2 4 2 3 4 4 0.911413 32/32 NonOverlappingTemplate 4 6 5 1 4 3 3 2 3 1 0.534146 31/32 NonOverlappingTemplate 4 6 2 3 4 2 1 3 7 0 0.122325 32/32 NonOverlappingTemplate 4 3 2 2 6 1 4 5 3 2 0.602458 32/32 NonOverlappingTemplate 7 4 5 3 3 3 3 2 1 1 0.350485 32/32 NonOverlappingTemplate 5 2 2 2 4 4 3 3 5 2 0.862344 31/32 NonOverlappingTemplate 2 4 0 3 4 4 3 3 4 5 0.739918 32/32 NonOverlappingTemplate 4 4 6 2 2 0 4 3 3 4 0.534146 32/32 NonOverlappingTemplate 1 7 0 3 3 3 5 4 1 5 0.122325 31/32 NonOverlappingTemplate 4 4 3 5 3 2 3 3 3 2 0.976060 32/32 NonOverlappingTemplate 3 1 3 5 0 2 3 2 7 6 0.100508 32/32 NonOverlappingTemplate 3 5 4 3 4 4 2 3 4 0 0.739918 32/32 NonOverlappingTemplate 2 3 2 1 3 1 5 4 4 7 0.299251 32/32 NonOverlappingTemplate 4 5 0 6 2 4 2 2 4 3 0.407091 32/32 NonOverlappingTemplate 4 2 1 3 3 1 4 3 6 5 0.534146 32/32 NonOverlappingTemplate 4 4 3 3 3 5 2 1 2 5 0.804337 31/32 NonOverlappingTemplate 2 2 3 6 6 3 3 4 1 2 0.468595 32/32 NonOverlappingTemplate 6 2 5 2 2 2 3 3 6 1 0.350485 30/32 NonOverlappingTemplate 3 4 3 3 5 4 2 1 3 4 0.911413 32/32 NonOverlappingTemplate 1 5 3 5 2 2 3 3 3 5 0.739918 32/32 NonOverlappingTemplate 1 3 6 3 3 3 4 5 1 3 0.602458 32/32 NonOverlappingTemplate 8 2 4 4 4 4 3 1 1 1 0.122325 31/32 NonOverlappingTemplate 4 3 5 6 3 2 2 1 4 2 0.602458 32/32 NonOverlappingTemplate 4 3 1 3 5 3 4 2 4 3 0.911413 32/32 NonOverlappingTemplate 2 4 5 3 3 3 1 4 2 5 0.804337 31/32 NonOverlappingTemplate 4 7 5 1 4 1 3 2 0 5 0.100508 32/32 NonOverlappingTemplate 6 0 1 5 3 7 2 4 2 2 0.082177 31/32 NonOverlappingTemplate 6 1 5 5 4 2 5 1 2 1 0.213309 32/32 NonOverlappingTemplate 2 4 4 5 0 4 2 5 2 4 0.534146 32/32 NonOverlappingTemplate 9 2 2 2 2 3 4 3 3 2 0.122325 30/32 NonOverlappingTemplate 9 5 2 2 4 3 3 3 1 0 0.028181 31/32 NonOverlappingTemplate 8 6 2 5 4 2 2 0 3 0 0.017912 30/32 NonOverlappingTemplate 7 5 1 2 1 3 1 4 2 6 0.100508 31/32 OverlappingTemplate 7 4 3 2 2 3 2 2 3 4 0.602458 29/32 Universal 7 4 4 4 3 4 2 2 0 2 0.299251 32/32 ApproximateEntropy 1 0 1 2 0 0 0 2 0 1 ---- 7/7 RandomExcursions 0 0 0 1 0 1 1 0 2 2 ---- 7/7 RandomExcursions 0 0 1 1 1 1 0 0 1 2 ---- 7/7 RandomExcursions 1 1 0 0 0 2 2 0 0 1 ---- 7/7 RandomExcursions 1 1 0 0 0 1 0 1 2 1 ---- 7/7 RandomExcursions 1 0 0 2 0 1 0 0 2 1 ---- 7/7 RandomExcursions 0 0 1 0 0 2 1 1 2 0 ---- 7/7 RandomExcursions 0 2 0 1 1 1 1 1 0 0 ---- 7/7 RandomExcursions 0 2 0 0 2 1 0 0 1 1 ---- 7/7 RandomExcursionsVariant 0 1 1 0 2 0 2 1 0 0 ---- 7/7 RandomExcursionsVariant 0 1 0 1 3 0 1 1 0 0 ---- 7/7 RandomExcursionsVariant 0 1 2 1 0 1 0 1 0 1 ---- 7/7 RandomExcursionsVariant 0 1 2 1 0 0 1 1 1 0 ---- 7/7 RandomExcursionsVariant 0 0 2 1 1 1 1 0 1 0 ---- 7/7 RandomExcursionsVariant 0 1 2 0 1 0 0 2 0 1 ---- 7/7 RandomExcursionsVariant 0 1 1 1 1 1 1 1 0 0 ---- 7/7 RandomExcursionsVariant 1 1 1 1 0 0 1 1 0 1 ---- 7/7 RandomExcursionsVariant 1 0 0 1 0 1 2 0 0 2 ---- 7/7 RandomExcursionsVariant 1 0 1 2 1 0 0 0 2 0 ---- 7/7 RandomExcursionsVariant 1 1 2 0 2 1 0 0 0 0 ---- 7/7 RandomExcursionsVariant 0 2 2 0 0 2 1 0 0 0 ---- 7/7 RandomExcursionsVariant 0 1 3 0 0 1 0 1 1 0 ---- 7/7 RandomExcursionsVariant 0 2 1 0 2 0 0 2 0 0 ---- 7/7 RandomExcursionsVariant 1 1 1 1 0 0 2 0 1 0 ---- 7/7 RandomExcursionsVariant 1 1 1 0 1 1 0 0 2 0 ---- 7/7 RandomExcursionsVariant 1 0 1 1 1 0 0 3 0 0 ---- 7/7 RandomExcursionsVariant 5 2 1 4 3 4 3 4 4 2 0.862344 32/32 Serial 4 2 2 1 3 2 5 7 2 4 0.350485 32/32 Serial 2 4 1 3 3 5 4 4 4 2 0.862344 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 = 6 for a sample size = 7 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -