------------------------------------------------------------------------------ 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 5 5 4 6 4 4 5 5 7 0.996335 50/50 Frequency 6 8 4 6 2 4 5 3 7 5 0.739918 48/50 BlockFrequency 4 8 3 3 4 4 4 8 9 3 0.350485 50/50 CumulativeSums 3 8 6 7 2 3 7 5 6 3 0.534146 50/50 CumulativeSums 4 10 4 3 6 6 7 3 6 1 0.236810 50/50 Runs 8 8 4 6 3 5 6 3 6 1 0.419021 50/50 LongestRun 1 1 6 7 9 2 4 6 10 4 0.035174 50/50 Rank 5 4 8 3 6 6 3 7 4 4 0.816537 50/50 FFT 9 2 6 7 5 4 7 2 4 4 0.419021 50/50 NonOverlappingTemplate 6 6 5 6 7 3 2 3 6 6 0.816537 50/50 NonOverlappingTemplate 7 4 4 8 5 8 2 4 6 2 0.455937 50/50 NonOverlappingTemplate 1 3 7 5 7 6 6 5 5 5 0.739918 50/50 NonOverlappingTemplate 5 5 7 6 4 5 5 4 6 3 0.983453 50/50 NonOverlappingTemplate 5 5 3 8 4 7 6 4 4 4 0.883171 49/50 NonOverlappingTemplate 8 9 2 3 3 9 6 3 3 4 0.137282 49/50 NonOverlappingTemplate 4 7 2 3 4 5 8 6 5 6 0.739918 50/50 NonOverlappingTemplate 11 2 7 4 2 4 6 5 5 4 0.191687 50/50 NonOverlappingTemplate 5 5 7 4 7 3 4 4 5 6 0.955835 49/50 NonOverlappingTemplate 3 5 3 10 4 5 4 3 4 9 0.262249 50/50 NonOverlappingTemplate 4 4 3 6 3 5 7 7 4 7 0.851383 48/50 NonOverlappingTemplate 4 4 9 3 2 3 6 9 7 3 0.213309 50/50 NonOverlappingTemplate 5 6 6 6 2 2 5 3 9 6 0.494392 49/50 NonOverlappingTemplate 6 7 7 7 6 5 2 4 5 1 0.534146 50/50 NonOverlappingTemplate 5 7 6 2 4 6 5 6 7 2 0.739918 50/50 NonOverlappingTemplate 4 7 5 4 3 7 5 4 6 5 0.955835 49/50 NonOverlappingTemplate 8 5 0 6 5 8 5 3 3 7 0.262249 47/50 NonOverlappingTemplate 4 3 8 4 6 9 6 4 3 3 0.494392 50/50 NonOverlappingTemplate 7 5 8 4 3 1 4 4 6 8 0.419021 47/50 NonOverlappingTemplate 4 6 2 5 5 4 9 5 5 5 0.779188 49/50 NonOverlappingTemplate 6 4 6 4 2 3 7 3 8 7 0.574903 50/50 NonOverlappingTemplate 6 4 3 5 6 4 6 5 6 5 0.991468 49/50 NonOverlappingTemplate 5 1 3 5 3 3 7 5 8 10 0.153763 50/50 NonOverlappingTemplate 6 3 1 3 9 6 4 3 10 5 0.108791 49/50 NonOverlappingTemplate 3 11 5 3 2 7 5 3 4 7 0.153763 50/50 NonOverlappingTemplate 5 4 2 6 5 4 4 8 7 5 0.816537 49/50 NonOverlappingTemplate 5 7 7 4 5 4 7 7 1 3 0.574903 50/50 NonOverlappingTemplate 9 4 2 5 10 2 4 7 4 3 0.122325 50/50 NonOverlappingTemplate 6 8 2 9 2 7 7 3 3 3 0.171867 50/50 NonOverlappingTemplate 10 5 4 9 3 4 6 4 3 2 0.191687 46/50 * NonOverlappingTemplate 6 6 6 4 5 7 5 4 5 2 0.935716 49/50 NonOverlappingTemplate 6 8 5 3 3 7 5 5 4 4 0.851383 48/50 NonOverlappingTemplate 1 6 6 6 7 3 6 5 7 3 0.616305 50/50 NonOverlappingTemplate 7 3 5 5 8 4 4 6 3 5 0.851383 50/50 NonOverlappingTemplate 4 2 4 5 6 8 3 4 9 5 0.494392 49/50 NonOverlappingTemplate 5 7 6 6 5 6 2 0 9 4 0.236810 49/50 NonOverlappingTemplate 3 2 6 4 4 6 3 8 8 6 0.534146 50/50 NonOverlappingTemplate 4 3 3 9 5 4 7 5 7 3 0.574903 50/50 NonOverlappingTemplate 4 6 7 6 6 1 3 7 3 7 0.534146 50/50 NonOverlappingTemplate 2 2 4 6 5 6 3 9 5 8 0.350485 50/50 NonOverlappingTemplate 7 6 6 3 3 3 5 6 3 8 0.699313 48/50 NonOverlappingTemplate 6 3 3 6 5 2 6 8 7 4 0.657933 48/50 NonOverlappingTemplate 7 4 1 8 6 6 4 2 5 7 0.419021 50/50 NonOverlappingTemplate 5 5 5 2 6 2 10 7 1 7 0.137282 49/50 NonOverlappingTemplate 5 7 3 5 10 2 1 7 6 4 0.171867 50/50 NonOverlappingTemplate 5 3 2 6 7 7 4 4 6 6 0.816537 49/50 NonOverlappingTemplate 9 1 4 7 7 5 4 5 5 3 0.419021 47/50 NonOverlappingTemplate 8 6 6 3 6 4 5 6 2 4 0.779188 48/50 NonOverlappingTemplate 4 4 2 9 3 5 6 8 4 5 0.494392 49/50 NonOverlappingTemplate 5 3 11 3 4 3 3 6 4 8 0.171867 50/50 NonOverlappingTemplate 5 7 7 6 5 4 5 6 4 1 0.779188 49/50 NonOverlappingTemplate 2 6 4 7 7 6 7 3 5 3 0.699313 50/50 NonOverlappingTemplate 8 6 7 2 8 8 4 1 4 2 0.137282 50/50 NonOverlappingTemplate 4 5 2 4 5 6 7 5 8 4 0.816537 50/50 NonOverlappingTemplate 7 5 2 6 4 6 7 6 6 1 0.574903 49/50 NonOverlappingTemplate 3 3 3 9 5 7 3 4 7 6 0.494392 49/50 NonOverlappingTemplate 2 2 2 8 7 8 5 7 4 5 0.289667 50/50 NonOverlappingTemplate 8 5 3 8 8 2 3 6 6 1 0.191687 50/50 NonOverlappingTemplate 4 3 5 5 2 4 3 7 13 4 0.040108 50/50 NonOverlappingTemplate 3 5 3 6 8 4 5 5 4 7 0.851383 50/50 NonOverlappingTemplate 6 2 5 10 2 6 4 4 4 7 0.319084 49/50 NonOverlappingTemplate 7 4 4 4 3 9 2 5 7 5 0.534146 49/50 NonOverlappingTemplate 6 8 2 3 4 4 4 7 5 7 0.657933 50/50 NonOverlappingTemplate 9 4 2 6 3 5 3 2 5 11 0.066882 47/50 NonOverlappingTemplate 2 4 2 6 4 2 5 6 13 6 0.023545 50/50 NonOverlappingTemplate 6 3 4 3 5 6 5 7 5 6 0.955835 50/50 NonOverlappingTemplate 4 4 9 3 4 2 4 8 6 6 0.455937 49/50 NonOverlappingTemplate 4 4 4 4 8 5 5 6 7 3 0.883171 50/50 NonOverlappingTemplate 6 4 3 5 8 6 5 4 6 3 0.883171 49/50 NonOverlappingTemplate 8 2 4 6 4 5 5 6 5 5 0.883171 49/50 NonOverlappingTemplate 3 0 7 6 6 3 5 5 6 9 0.262249 49/50 NonOverlappingTemplate 6 4 5 6 4 5 7 2 4 7 0.883171 50/50 NonOverlappingTemplate 6 6 3 2 6 7 6 6 4 4 0.851383 49/50 NonOverlappingTemplate 9 2 6 7 5 4 7 2 4 4 0.419021 50/50 NonOverlappingTemplate 7 4 4 4 8 5 6 3 6 3 0.816537 49/50 NonOverlappingTemplate 8 5 1 7 4 5 5 5 4 6 0.699313 50/50 NonOverlappingTemplate 9 6 1 7 4 2 1 6 9 5 0.066882 50/50 NonOverlappingTemplate 6 2 4 5 8 6 6 1 7 5 0.494392 50/50 NonOverlappingTemplate 6 3 7 5 5 3 7 3 4 7 0.816537 49/50 NonOverlappingTemplate 3 6 4 6 7 6 3 8 1 6 0.494392 50/50 NonOverlappingTemplate 6 3 2 8 6 6 5 4 6 4 0.779188 50/50 NonOverlappingTemplate 5 4 6 4 8 6 9 3 3 2 0.419021 50/50 NonOverlappingTemplate 6 3 5 6 8 3 6 5 3 5 0.851383 50/50 NonOverlappingTemplate 3 6 7 5 3 9 4 4 7 2 0.455937 50/50 NonOverlappingTemplate 7 0 4 3 5 5 6 6 7 7 0.455937 50/50 NonOverlappingTemplate 5 8 4 6 5 1 9 5 3 4 0.383827 50/50 NonOverlappingTemplate 9 4 4 3 6 4 5 6 3 6 0.739918 48/50 NonOverlappingTemplate 6 4 5 4 6 7 5 6 3 4 0.971699 48/50 NonOverlappingTemplate 4 1 8 5 8 2 7 6 4 5 0.350485 50/50 NonOverlappingTemplate 6 2 10 4 3 6 6 3 6 4 0.383827 50/50 NonOverlappingTemplate 6 5 6 2 6 6 8 6 2 3 0.616305 50/50 NonOverlappingTemplate 7 3 4 4 4 9 6 3 4 6 0.657933 49/50 NonOverlappingTemplate 4 4 7 5 6 5 5 7 2 5 0.911413 50/50 NonOverlappingTemplate 7 3 3 4 5 5 5 4 8 6 0.851383 49/50 NonOverlappingTemplate 4 5 4 8 4 5 3 6 6 5 0.935716 50/50 NonOverlappingTemplate 5 10 5 5 5 5 2 8 2 3 0.262249 50/50 NonOverlappingTemplate 7 2 5 6 4 5 4 5 5 7 0.911413 50/50 NonOverlappingTemplate 3 4 5 8 5 5 3 5 7 5 0.883171 49/50 NonOverlappingTemplate 6 2 11 2 6 5 2 9 2 5 0.035174 48/50 NonOverlappingTemplate 5 6 7 3 7 4 10 1 4 3 0.213309 50/50 NonOverlappingTemplate 4 4 5 4 5 7 8 5 5 3 0.911413 50/50 NonOverlappingTemplate 7 6 1 4 4 3 3 4 5 13 0.023545 49/50 NonOverlappingTemplate 2 9 8 6 4 8 3 3 0 7 0.058984 50/50 NonOverlappingTemplate 4 3 5 5 3 10 6 5 3 6 0.534146 49/50 NonOverlappingTemplate 6 5 0 5 8 4 9 2 6 5 0.191687 48/50 NonOverlappingTemplate 10 2 3 8 5 7 3 5 4 3 0.213309 50/50 NonOverlappingTemplate 4 1 3 5 6 11 7 7 4 2 0.085587 50/50 NonOverlappingTemplate 4 6 6 7 8 3 6 3 2 5 0.657933 50/50 NonOverlappingTemplate 3 7 6 4 7 5 6 2 6 4 0.816537 50/50 NonOverlappingTemplate 3 6 2 5 4 8 3 9 3 7 0.319084 48/50 NonOverlappingTemplate 3 4 4 4 4 6 5 6 6 8 0.911413 49/50 NonOverlappingTemplate 8 6 3 4 5 1 8 7 4 4 0.419021 49/50 NonOverlappingTemplate 5 4 6 6 5 2 5 4 7 6 0.935716 50/50 NonOverlappingTemplate 7 10 3 3 0 5 8 3 5 6 0.085587 49/50 NonOverlappingTemplate 1 4 7 6 7 3 8 5 4 5 0.534146 49/50 NonOverlappingTemplate 9 7 9 3 5 3 4 4 2 4 0.262249 48/50 NonOverlappingTemplate 10 5 3 4 6 1 3 7 4 7 0.213309 50/50 NonOverlappingTemplate 8 8 3 6 5 2 3 8 2 5 0.289667 49/50 NonOverlappingTemplate 4 6 4 7 2 4 4 3 6 10 0.383827 50/50 NonOverlappingTemplate 5 6 3 6 5 2 5 5 7 6 0.911413 50/50 NonOverlappingTemplate 5 5 3 9 7 5 5 3 4 4 0.739918 49/50 NonOverlappingTemplate 4 6 5 2 3 5 10 3 7 5 0.383827 50/50 NonOverlappingTemplate 7 3 3 6 4 8 5 5 6 3 0.779188 50/50 NonOverlappingTemplate 3 4 4 3 6 7 3 2 7 11 0.137282 49/50 NonOverlappingTemplate 5 8 4 6 6 3 6 1 6 5 0.657933 50/50 NonOverlappingTemplate 8 5 4 4 7 6 6 4 4 2 0.779188 48/50 NonOverlappingTemplate 5 4 2 5 4 5 5 5 9 6 0.779188 50/50 NonOverlappingTemplate 0 4 3 5 9 9 3 4 8 5 0.085587 50/50 NonOverlappingTemplate 4 5 7 5 5 9 2 5 4 4 0.699313 49/50 NonOverlappingTemplate 9 5 5 2 3 4 5 8 4 5 0.534146 49/50 NonOverlappingTemplate 5 2 4 3 4 7 5 7 8 5 0.699313 49/50 NonOverlappingTemplate 5 7 6 3 7 6 3 3 5 5 0.883171 48/50 NonOverlappingTemplate 7 2 5 7 5 9 2 3 6 4 0.383827 50/50 NonOverlappingTemplate 5 4 1 4 7 7 3 2 12 5 0.040108 49/50 NonOverlappingTemplate 3 2 1 7 7 5 7 10 5 3 0.122325 49/50 NonOverlappingTemplate 4 4 2 2 6 6 4 3 6 13 0.030806 50/50 NonOverlappingTemplate 6 2 4 8 8 2 8 5 0 7 0.085587 50/50 NonOverlappingTemplate 9 4 7 4 7 8 2 3 4 2 0.236810 48/50 NonOverlappingTemplate 9 4 7 5 2 3 3 9 5 3 0.236810 47/50 NonOverlappingTemplate 3 9 6 3 3 5 7 5 5 4 0.657933 50/50 NonOverlappingTemplate 4 7 2 8 3 3 5 6 6 6 0.657933 50/50 NonOverlappingTemplate 5 2 7 2 7 4 7 3 9 4 0.319084 49/50 NonOverlappingTemplate 7 6 6 6 2 2 4 9 5 3 0.419021 50/50 NonOverlappingTemplate 6 2 7 5 6 8 3 5 4 4 0.739918 49/50 NonOverlappingTemplate 6 4 6 8 7 1 3 9 3 3 0.213309 49/50 NonOverlappingTemplate 11 7 6 3 2 7 3 3 6 2 0.085587 48/50 NonOverlappingTemplate 6 6 3 2 6 7 6 6 4 4 0.851383 49/50 NonOverlappingTemplate 6 8 4 6 5 5 4 4 4 4 0.955835 47/50 OverlappingTemplate 0 4 7 7 6 3 4 3 5 11 0.066882 50/50 Universal 3 9 4 4 6 5 3 6 3 7 0.616305 49/50 ApproximateEntropy 4 3 4 4 2 1 1 6 4 5 0.468595 34/34 RandomExcursions 3 3 4 6 3 2 1 4 5 3 0.671779 34/34 RandomExcursions 4 3 3 2 5 4 2 2 4 5 0.862344 33/34 RandomExcursions 2 2 3 9 4 2 0 1 5 6 0.008879 34/34 RandomExcursions 4 3 2 0 5 5 2 3 4 6 0.350485 33/34 RandomExcursions 1 2 8 2 2 9 3 2 2 3 0.005490 34/34 RandomExcursions 2 5 7 6 3 2 5 3 0 1 0.066882 34/34 RandomExcursions 3 4 2 5 2 2 4 4 4 4 0.911413 33/34 RandomExcursions 4 2 3 5 1 3 5 6 4 1 0.407091 33/34 RandomExcursionsVariant 3 2 4 5 4 1 3 3 4 5 0.804337 33/34 RandomExcursionsVariant 3 2 4 3 4 3 4 5 3 3 0.976060 33/34 RandomExcursionsVariant 2 3 5 3 2 7 2 3 3 4 0.534146 33/34 RandomExcursionsVariant 3 2 4 5 2 3 2 3 5 5 0.804337 33/34 RandomExcursionsVariant 3 4 1 4 2 8 2 1 3 6 0.082177 34/34 RandomExcursionsVariant 2 5 3 3 2 3 4 3 5 4 0.911413 34/34 RandomExcursionsVariant 2 4 3 0 3 4 7 3 4 4 0.350485 34/34 RandomExcursionsVariant 6 1 4 1 2 2 5 3 4 6 0.253551 34/34 RandomExcursionsVariant 2 5 1 1 4 3 6 7 2 3 0.148094 34/34 RandomExcursionsVariant 0 8 4 3 1 4 2 1 7 4 0.014216 34/34 RandomExcursionsVariant 2 6 5 3 1 3 1 5 4 4 0.407091 34/34 RandomExcursionsVariant 3 4 7 2 3 1 1 4 4 5 0.299251 34/34 RandomExcursionsVariant 1 6 4 4 2 1 4 4 3 5 0.468595 34/34 RandomExcursionsVariant 1 4 7 3 1 5 1 4 4 4 0.213309 34/34 RandomExcursionsVariant 2 3 6 3 4 3 2 5 2 4 0.739918 34/34 RandomExcursionsVariant 4 2 5 5 1 1 4 2 8 2 0.082177 33/34 RandomExcursionsVariant 4 4 4 1 3 3 4 1 5 5 0.671779 33/34 RandomExcursionsVariant 1 7 8 9 6 3 7 4 2 3 0.137282 49/50 Serial 6 6 8 5 2 9 1 2 5 6 0.191687 50/50 Serial 2 9 5 4 6 2 5 3 7 7 0.383827 49/50 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 = 31 for a sample size = 34 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -