------------------------------------------------------------------------------ RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE PROPORTION OF PASSING SEQUENCES ------------------------------------------------------------------------------ generator is ------------------------------------------------------------------------------ C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 P-VALUE PROPORTION STATISTICAL TEST ------------------------------------------------------------------------------ 5 9 5 5 5 6 3 7 2 3 0.574903 50/50 Frequency 7 4 5 1 6 8 2 5 6 6 0.494392 48/50 BlockFrequency 3 8 9 3 5 3 6 3 6 4 0.455937 50/50 CumulativeSums 6 6 10 2 5 5 4 3 5 4 0.494392 50/50 CumulativeSums 4 2 4 5 10 3 8 7 4 3 0.236810 50/50 Runs 5 2 7 6 7 3 5 5 4 6 0.851383 50/50 LongestRun 9 4 5 5 5 2 7 4 4 5 0.699313 49/50 Rank 7 5 4 2 8 6 4 0 8 6 0.213309 50/50 FFT 6 1 10 8 1 4 9 2 7 2 0.011791 50/50 NonOverlappingTemplate 8 5 5 5 4 7 7 5 2 2 0.616305 48/50 NonOverlappingTemplate 1 9 3 4 3 12 5 6 4 3 0.023545 50/50 NonOverlappingTemplate 5 3 6 2 3 6 6 6 3 10 0.350485 50/50 NonOverlappingTemplate 7 7 6 6 7 3 3 2 6 3 0.616305 50/50 NonOverlappingTemplate 2 6 5 2 5 6 4 8 3 9 0.350485 50/50 NonOverlappingTemplate 2 2 7 9 3 12 3 3 4 5 0.017912 50/50 NonOverlappingTemplate 3 8 3 3 4 8 3 10 2 6 0.122325 49/50 NonOverlappingTemplate 6 5 4 7 6 4 5 4 5 4 0.991468 50/50 NonOverlappingTemplate 5 5 6 6 8 4 5 3 2 6 0.816537 50/50 NonOverlappingTemplate 3 6 5 3 2 8 8 5 4 6 0.574903 50/50 NonOverlappingTemplate 4 8 7 1 6 6 2 3 6 7 0.350485 50/50 NonOverlappingTemplate 5 5 1 6 7 5 0 7 5 9 0.153763 49/50 NonOverlappingTemplate 6 5 3 4 3 4 5 9 7 4 0.699313 50/50 NonOverlappingTemplate 5 9 3 7 5 6 4 3 5 3 0.657933 50/50 NonOverlappingTemplate 4 5 5 4 4 6 8 7 4 3 0.883171 50/50 NonOverlappingTemplate 1 8 4 7 2 4 8 6 6 4 0.319084 50/50 NonOverlappingTemplate 4 3 7 2 9 5 7 4 5 4 0.534146 49/50 NonOverlappingTemplate 2 7 3 7 4 5 6 7 5 4 0.779188 50/50 NonOverlappingTemplate 4 6 5 5 7 0 8 5 9 1 0.108791 50/50 NonOverlappingTemplate 4 4 4 8 2 7 3 6 6 6 0.699313 50/50 NonOverlappingTemplate 9 4 7 5 5 3 3 8 1 5 0.289667 48/50 NonOverlappingTemplate 4 3 12 4 2 7 5 4 5 4 0.122325 49/50 NonOverlappingTemplate 9 5 4 9 5 2 6 4 2 4 0.289667 49/50 NonOverlappingTemplate 3 5 5 6 4 4 7 8 2 6 0.739918 50/50 NonOverlappingTemplate 3 7 3 4 3 11 1 7 7 4 0.075719 50/50 NonOverlappingTemplate 5 3 9 0 4 6 5 8 5 5 0.262249 50/50 NonOverlappingTemplate 3 4 3 4 5 8 8 4 7 4 0.657933 49/50 NonOverlappingTemplate 2 7 5 7 4 5 5 4 5 6 0.911413 50/50 NonOverlappingTemplate 2 3 3 7 6 6 4 2 9 8 0.236810 50/50 NonOverlappingTemplate 2 5 6 11 5 3 2 7 6 3 0.137282 48/50 NonOverlappingTemplate 9 4 9 5 5 3 4 6 2 3 0.319084 49/50 NonOverlappingTemplate 7 3 6 5 5 2 6 3 5 8 0.699313 49/50 NonOverlappingTemplate 6 8 5 7 2 4 4 4 7 3 0.657933 50/50 NonOverlappingTemplate 1 5 8 4 6 5 6 5 5 5 0.779188 50/50 NonOverlappingTemplate 6 4 5 5 5 2 6 5 4 8 0.883171 49/50 NonOverlappingTemplate 6 7 6 5 2 4 5 1 6 8 0.494392 49/50 NonOverlappingTemplate 3 3 1 8 7 1 9 4 5 9 0.045675 50/50 NonOverlappingTemplate 6 7 2 5 6 4 4 3 6 7 0.816537 49/50 NonOverlappingTemplate 3 7 7 7 6 5 4 4 5 2 0.779188 49/50 NonOverlappingTemplate 5 3 7 4 4 4 8 3 6 6 0.816537 48/50 NonOverlappingTemplate 3 4 5 6 3 8 3 4 8 6 0.657933 49/50 NonOverlappingTemplate 0 7 12 4 5 2 6 3 2 9 0.004981 50/50 NonOverlappingTemplate 8 6 3 4 6 5 2 3 6 7 0.657933 49/50 NonOverlappingTemplate 3 4 8 5 5 10 4 4 2 5 0.350485 50/50 NonOverlappingTemplate 7 6 1 3 8 3 6 4 9 3 0.213309 50/50 NonOverlappingTemplate 5 5 5 2 6 7 3 4 6 7 0.851383 50/50 NonOverlappingTemplate 2 5 3 9 6 7 6 1 3 8 0.171867 50/50 NonOverlappingTemplate 6 8 4 8 2 5 3 5 4 5 0.657933 50/50 NonOverlappingTemplate 3 3 7 4 4 3 4 8 7 7 0.616305 50/50 NonOverlappingTemplate 8 2 9 4 2 3 3 3 7 9 0.085587 49/50 NonOverlappingTemplate 2 5 6 7 3 4 5 7 6 5 0.851383 50/50 NonOverlappingTemplate 6 3 7 6 3 4 10 7 2 2 0.191687 49/50 NonOverlappingTemplate 7 2 4 5 9 5 5 6 4 3 0.616305 50/50 NonOverlappingTemplate 9 5 3 9 9 3 0 4 4 4 0.051942 50/50 NonOverlappingTemplate 3 6 5 7 9 6 2 5 5 2 0.455937 50/50 NonOverlappingTemplate 6 2 9 6 6 1 7 4 3 6 0.289667 50/50 NonOverlappingTemplate 5 7 5 4 6 6 5 5 3 4 0.983453 49/50 NonOverlappingTemplate 5 3 6 5 5 4 5 5 7 5 0.991468 50/50 NonOverlappingTemplate 6 6 6 4 4 3 2 5 9 5 0.657933 49/50 NonOverlappingTemplate 6 7 6 3 5 5 6 3 5 4 0.955835 49/50 NonOverlappingTemplate 5 5 4 7 4 10 6 5 1 3 0.319084 50/50 NonOverlappingTemplate 3 7 6 5 3 1 6 8 4 7 0.455937 49/50 NonOverlappingTemplate 6 11 6 4 4 3 7 5 1 3 0.137282 50/50 NonOverlappingTemplate 5 6 7 6 4 10 1 4 3 4 0.289667 49/50 NonOverlappingTemplate 4 3 5 7 11 2 5 5 5 3 0.236810 50/50 NonOverlappingTemplate 3 3 5 5 4 4 8 3 7 8 0.616305 50/50 NonOverlappingTemplate 4 5 5 7 5 5 6 5 3 5 0.991468 50/50 NonOverlappingTemplate 3 5 4 6 8 7 4 2 8 3 0.494392 50/50 NonOverlappingTemplate 7 5 11 2 2 5 3 4 1 10 0.013569 49/50 NonOverlappingTemplate 11 8 5 3 4 2 4 1 5 7 0.066882 49/50 NonOverlappingTemplate 5 3 3 5 5 6 8 5 4 6 0.911413 50/50 NonOverlappingTemplate 6 3 9 5 6 5 4 2 4 6 0.657933 50/50 NonOverlappingTemplate 5 4 5 8 4 4 6 4 5 5 0.971699 50/50 NonOverlappingTemplate 6 1 10 8 1 4 9 2 7 2 0.011791 50/50 NonOverlappingTemplate 4 6 4 4 4 5 5 4 6 8 0.955835 50/50 NonOverlappingTemplate 3 6 2 3 8 2 6 7 7 6 0.419021 50/50 NonOverlappingTemplate 5 7 5 5 2 8 7 1 4 6 0.455937 50/50 NonOverlappingTemplate 5 10 5 6 4 3 6 6 2 3 0.419021 50/50 NonOverlappingTemplate 1 8 3 9 4 3 9 4 5 4 0.137282 50/50 NonOverlappingTemplate 9 8 5 3 4 3 6 3 5 4 0.534146 49/50 NonOverlappingTemplate 6 4 5 2 7 1 6 9 5 5 0.383827 50/50 NonOverlappingTemplate 4 5 5 6 5 9 7 3 3 3 0.657933 50/50 NonOverlappingTemplate 4 1 5 7 3 10 4 7 5 4 0.262249 50/50 NonOverlappingTemplate 4 3 6 3 4 3 6 3 10 8 0.289667 50/50 NonOverlappingTemplate 1 4 7 4 6 6 5 5 8 4 0.657933 50/50 NonOverlappingTemplate 4 9 9 2 4 3 4 3 5 7 0.262249 49/50 NonOverlappingTemplate 4 7 6 6 3 1 7 8 4 4 0.494392 50/50 NonOverlappingTemplate 5 2 7 9 4 5 6 1 5 6 0.383827 50/50 NonOverlappingTemplate 5 2 5 6 6 4 7 5 6 4 0.935716 49/50 NonOverlappingTemplate 6 2 7 7 8 3 1 8 5 3 0.213309 49/50 NonOverlappingTemplate 5 5 5 4 7 5 5 3 5 6 0.991468 48/50 NonOverlappingTemplate 5 5 5 5 6 5 5 4 5 5 0.999988 49/50 NonOverlappingTemplate 5 4 8 4 3 3 5 3 9 6 0.534146 49/50 NonOverlappingTemplate 3 6 4 7 6 2 9 5 3 5 0.534146 50/50 NonOverlappingTemplate 4 5 2 6 6 9 8 4 1 5 0.289667 50/50 NonOverlappingTemplate 9 4 3 5 4 5 4 7 3 6 0.699313 49/50 NonOverlappingTemplate 2 3 5 8 4 10 6 4 2 6 0.213309 50/50 NonOverlappingTemplate 7 5 6 7 2 4 3 7 3 6 0.699313 50/50 NonOverlappingTemplate 4 7 7 4 4 1 8 6 2 7 0.350485 50/50 NonOverlappingTemplate 6 5 5 3 2 5 2 10 5 7 0.319084 50/50 NonOverlappingTemplate 6 2 5 6 6 9 4 5 3 4 0.657933 50/50 NonOverlappingTemplate 4 3 4 4 8 5 2 6 5 9 0.494392 50/50 NonOverlappingTemplate 9 2 8 6 3 6 4 2 5 5 0.350485 49/50 NonOverlappingTemplate 7 2 9 3 5 4 6 3 4 7 0.455937 49/50 NonOverlappingTemplate 9 2 2 5 8 3 5 5 6 5 0.383827 50/50 NonOverlappingTemplate 3 7 3 4 3 9 3 5 5 8 0.419021 50/50 NonOverlappingTemplate 8 5 3 7 5 6 2 5 3 6 0.699313 49/50 NonOverlappingTemplate 7 3 5 5 3 4 4 6 9 4 0.699313 50/50 NonOverlappingTemplate 5 4 3 5 7 3 3 5 9 6 0.657933 50/50 NonOverlappingTemplate 8 5 2 2 5 3 11 4 5 5 0.137282 50/50 NonOverlappingTemplate 2 6 5 4 6 7 3 6 6 5 0.883171 50/50 NonOverlappingTemplate 4 6 7 7 2 0 6 6 6 6 0.383827 50/50 NonOverlappingTemplate 8 1 3 6 8 6 1 7 1 9 0.030806 49/50 NonOverlappingTemplate 5 4 4 4 9 6 4 5 4 5 0.883171 50/50 NonOverlappingTemplate 7 2 3 5 5 8 4 6 5 5 0.779188 50/50 NonOverlappingTemplate 4 8 6 5 6 3 6 2 6 4 0.779188 50/50 NonOverlappingTemplate 8 4 1 5 3 8 1 5 9 6 0.108791 50/50 NonOverlappingTemplate 3 3 2 4 10 7 8 4 4 5 0.236810 50/50 NonOverlappingTemplate 8 4 6 3 4 6 6 4 4 5 0.911413 50/50 NonOverlappingTemplate 5 1 7 6 7 1 6 6 5 6 0.455937 50/50 NonOverlappingTemplate 7 5 4 3 4 4 7 7 1 8 0.455937 49/50 NonOverlappingTemplate 7 5 4 3 5 7 6 5 6 2 0.851383 50/50 NonOverlappingTemplate 8 5 10 4 4 5 4 3 2 5 0.350485 50/50 NonOverlappingTemplate 9 7 4 5 2 7 4 4 6 2 0.419021 50/50 NonOverlappingTemplate 7 4 3 7 5 4 7 4 5 4 0.911413 48/50 NonOverlappingTemplate 4 6 4 5 5 7 8 3 3 5 0.851383 49/50 NonOverlappingTemplate 4 3 6 6 4 5 5 5 6 6 0.991468 49/50 NonOverlappingTemplate 2 2 4 7 3 10 6 2 8 6 0.108791 49/50 NonOverlappingTemplate 4 4 3 3 2 10 4 11 7 2 0.026948 49/50 NonOverlappingTemplate 6 3 4 2 2 6 9 9 5 4 0.236810 50/50 NonOverlappingTemplate 6 8 6 5 3 9 3 2 4 4 0.419021 50/50 NonOverlappingTemplate 4 8 3 5 7 1 6 7 7 2 0.319084 50/50 NonOverlappingTemplate 5 3 6 7 7 2 4 1 9 6 0.262249 50/50 NonOverlappingTemplate 6 5 10 5 7 3 3 3 4 4 0.455937 49/50 NonOverlappingTemplate 4 5 3 5 7 6 7 6 3 4 0.911413 50/50 NonOverlappingTemplate 4 6 8 4 7 4 7 0 4 6 0.383827 50/50 NonOverlappingTemplate 3 7 2 6 7 5 5 4 2 9 0.383827 48/50 NonOverlappingTemplate 3 6 9 4 5 0 5 5 7 6 0.319084 50/50 NonOverlappingTemplate 4 5 3 4 7 6 4 6 5 6 0.971699 50/50 NonOverlappingTemplate 6 2 5 5 8 6 4 2 6 6 0.699313 49/50 NonOverlappingTemplate 10 4 8 6 2 1 6 3 5 5 0.153763 49/50 NonOverlappingTemplate 5 6 7 1 6 5 8 7 2 3 0.383827 50/50 NonOverlappingTemplate 4 3 4 7 4 4 5 4 8 7 0.816537 49/50 NonOverlappingTemplate 3 5 7 5 5 7 5 5 4 4 0.971699 50/50 NonOverlappingTemplate 3 6 6 6 5 6 2 7 3 6 0.816537 50/50 NonOverlappingTemplate 5 3 4 5 4 3 5 4 6 11 0.383827 49/50 NonOverlappingTemplate 5 4 5 8 4 4 6 3 6 5 0.935716 50/50 NonOverlappingTemplate 2 4 4 7 2 10 4 3 7 7 0.191687 50/50 OverlappingTemplate 5 7 8 4 5 2 5 6 3 5 0.779188 50/50 Universal 3 4 6 5 7 4 8 6 4 3 0.816537 50/50 ApproximateEntropy 4 4 2 3 4 3 3 3 3 3 0.998205 31/32 RandomExcursions 6 4 3 4 2 4 3 1 0 5 0.350485 31/32 RandomExcursions 2 3 7 3 3 2 2 2 4 4 0.602458 32/32 RandomExcursions 2 4 2 4 3 2 5 3 6 1 0.602458 32/32 RandomExcursions 2 3 1 3 4 5 3 2 3 6 0.671779 31/32 RandomExcursions 2 1 1 4 1 5 2 4 4 8 0.082177 32/32 RandomExcursions 7 2 1 3 3 4 1 1 5 5 0.178278 32/32 RandomExcursions 7 2 1 2 5 1 3 2 6 3 0.148094 32/32 RandomExcursions 4 5 3 1 2 3 3 2 4 5 0.804337 31/32 RandomExcursionsVariant 5 3 3 1 3 5 1 4 3 4 0.739918 31/32 RandomExcursionsVariant 6 2 3 2 2 4 5 2 5 1 0.468595 31/32 RandomExcursionsVariant 4 3 5 3 3 1 6 3 2 2 0.671779 32/32 RandomExcursionsVariant 6 4 2 0 3 2 4 5 3 3 0.468595 32/32 RandomExcursionsVariant 5 5 0 3 6 3 4 0 3 3 0.213309 32/32 RandomExcursionsVariant 5 2 5 3 5 4 2 2 1 3 0.671779 30/32 RandomExcursionsVariant 5 2 4 1 5 2 4 2 4 3 0.739918 31/32 RandomExcursionsVariant 3 3 2 3 4 6 1 3 5 2 0.671779 32/32 RandomExcursionsVariant 3 3 0 3 4 2 4 3 5 5 0.671779 32/32 RandomExcursionsVariant 2 4 3 1 3 3 4 5 4 3 0.911413 32/32 RandomExcursionsVariant 3 4 4 3 4 2 5 1 4 2 0.862344 31/32 RandomExcursionsVariant 3 5 6 3 4 3 0 5 2 1 0.299251 32/32 RandomExcursionsVariant 3 6 6 4 1 2 2 4 2 2 0.407091 32/32 RandomExcursionsVariant 4 6 4 4 3 2 1 3 1 4 0.602458 32/32 RandomExcursionsVariant 4 6 3 2 4 4 1 1 2 5 0.468595 32/32 RandomExcursionsVariant 5 7 1 0 4 3 2 5 2 3 0.148094 32/32 RandomExcursionsVariant 6 6 1 4 1 3 2 4 3 2 0.350485 32/32 RandomExcursionsVariant 4 5 3 2 6 10 2 8 2 8 0.085587 49/50 Serial 3 2 5 4 5 6 5 6 9 5 0.699313 49/50 Serial 0 8 4 8 8 4 5 6 3 4 0.213309 50/50 LinearComplexity - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - The minimum pass rate for each statistical test with the exception of the random excursion (variant) test is approximately = 47 for a sample size = 50 binary sequences. The minimum pass rate for the random excursion (variant) test is approximately = 29 for a sample size = 32 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -