------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 7 6 5 8 7 2 5 3 4 3 0.616305 49/50 Frequency 6 3 5 7 7 6 4 3 2 7 0.699313 50/50 BlockFrequency 8 3 4 5 4 4 9 4 6 3 0.574903 49/50 CumulativeSums 5 5 4 10 7 4 3 1 6 5 0.319084 49/50 CumulativeSums 6 5 5 8 4 4 4 5 3 6 0.935716 50/50 Runs 2 9 5 6 8 5 2 3 5 5 0.383827 50/50 LongestRun 4 7 9 4 4 9 2 2 6 3 0.191687 49/50 Rank 4 5 5 4 5 2 5 4 10 6 0.574903 50/50 FFT 7 2 2 7 5 8 3 5 7 4 0.455937 48/50 NonOverlappingTemplate 13 2 6 4 4 1 3 9 4 4 0.006661 50/50 NonOverlappingTemplate 9 7 1 6 4 5 4 7 4 3 0.383827 50/50 NonOverlappingTemplate 2 4 7 3 3 6 3 7 7 8 0.455937 50/50 NonOverlappingTemplate 3 4 0 10 6 3 6 4 6 8 0.108791 50/50 NonOverlappingTemplate 5 2 4 7 6 2 6 5 7 6 0.739918 49/50 NonOverlappingTemplate 4 5 5 8 4 4 4 3 6 7 0.883171 48/50 NonOverlappingTemplate 1 3 5 4 9 5 8 6 7 2 0.213309 50/50 NonOverlappingTemplate 3 7 3 9 7 1 6 4 3 7 0.236810 50/50 NonOverlappingTemplate 5 4 4 10 7 4 6 5 2 3 0.419021 49/50 NonOverlappingTemplate 3 7 7 3 6 2 7 6 4 5 0.699313 50/50 NonOverlappingTemplate 7 7 4 6 5 4 5 2 5 5 0.911413 47/50 NonOverlappingTemplate 3 6 4 3 3 7 7 6 7 4 0.779188 50/50 NonOverlappingTemplate 4 4 5 2 6 7 7 4 4 7 0.816537 49/50 NonOverlappingTemplate 2 3 7 8 6 5 4 6 3 6 0.657933 50/50 NonOverlappingTemplate 3 2 6 4 5 6 7 5 9 3 0.534146 50/50 NonOverlappingTemplate 2 5 6 7 7 5 6 4 4 4 0.883171 50/50 NonOverlappingTemplate 6 7 2 7 4 6 4 6 4 4 0.851383 49/50 NonOverlappingTemplate 7 4 10 5 2 6 3 4 3 6 0.350485 48/50 NonOverlappingTemplate 4 3 4 4 2 4 8 6 6 9 0.455937 49/50 NonOverlappingTemplate 5 4 10 3 4 5 7 5 4 3 0.534146 50/50 NonOverlappingTemplate 8 2 3 4 4 3 6 5 8 7 0.494392 50/50 NonOverlappingTemplate 5 5 9 8 4 9 4 0 4 2 0.075719 48/50 NonOverlappingTemplate 5 7 5 0 10 2 10 3 5 3 0.023545 50/50 NonOverlappingTemplate 6 5 4 6 4 0 7 7 5 6 0.574903 48/50 NonOverlappingTemplate 5 8 5 2 5 2 9 4 4 6 0.419021 50/50 NonOverlappingTemplate 5 3 7 6 6 6 2 4 4 7 0.816537 49/50 NonOverlappingTemplate 3 5 1 7 8 6 3 5 7 5 0.494392 50/50 NonOverlappingTemplate 5 8 4 6 2 6 8 6 2 3 0.455937 50/50 NonOverlappingTemplate 4 7 5 2 2 9 4 10 3 4 0.122325 49/50 NonOverlappingTemplate 3 5 4 2 5 7 5 4 9 6 0.616305 50/50 NonOverlappingTemplate 5 5 7 7 4 3 4 6 5 4 0.955835 50/50 NonOverlappingTemplate 5 4 7 3 3 6 6 4 4 8 0.816537 50/50 NonOverlappingTemplate 6 7 5 2 5 3 5 2 6 9 0.455937 48/50 NonOverlappingTemplate 7 5 8 5 5 4 4 5 0 7 0.455937 50/50 NonOverlappingTemplate 5 9 9 6 4 5 2 3 2 5 0.262249 50/50 NonOverlappingTemplate 4 2 8 7 3 5 6 5 8 2 0.419021 50/50 NonOverlappingTemplate 6 5 5 6 3 2 8 7 6 2 0.574903 48/50 NonOverlappingTemplate 8 4 1 6 9 3 6 4 2 7 0.191687 49/50 NonOverlappingTemplate 4 4 5 3 6 8 7 3 5 5 0.851383 50/50 NonOverlappingTemplate 6 4 5 5 3 4 6 4 5 8 0.935716 50/50 NonOverlappingTemplate 3 5 6 3 7 9 2 3 6 6 0.455937 50/50 NonOverlappingTemplate 7 5 6 4 4 4 4 4 8 4 0.911413 49/50 NonOverlappingTemplate 6 5 3 7 5 7 4 2 6 5 0.851383 50/50 NonOverlappingTemplate 5 3 6 5 6 5 8 4 3 5 0.911413 49/50 NonOverlappingTemplate 5 7 9 7 3 3 5 2 4 5 0.494392 48/50 NonOverlappingTemplate 6 5 2 3 4 6 3 6 8 7 0.657933 49/50 NonOverlappingTemplate 4 6 9 5 4 5 4 4 6 3 0.816537 50/50 NonOverlappingTemplate 3 5 5 3 7 4 9 6 5 3 0.657933 49/50 NonOverlappingTemplate 8 3 7 5 2 6 4 8 4 3 0.494392 49/50 NonOverlappingTemplate 8 3 4 6 4 5 6 3 8 3 0.657933 50/50 NonOverlappingTemplate 6 5 4 8 7 9 5 4 0 2 0.153763 49/50 NonOverlappingTemplate 4 6 2 5 2 4 6 9 7 5 0.494392 48/50 NonOverlappingTemplate 2 5 8 8 7 4 4 2 5 5 0.494392 50/50 NonOverlappingTemplate 4 4 7 5 3 6 4 4 4 9 0.739918 50/50 NonOverlappingTemplate 6 4 5 4 2 3 6 6 8 6 0.779188 50/50 NonOverlappingTemplate 5 3 4 6 10 4 9 3 3 3 0.213309 50/50 NonOverlappingTemplate 5 7 4 2 6 4 7 5 4 6 0.883171 48/50 NonOverlappingTemplate 5 8 6 5 4 5 3 7 5 2 0.779188 50/50 NonOverlappingTemplate 10 4 6 3 7 3 3 5 5 4 0.455937 47/50 NonOverlappingTemplate 3 3 6 5 7 1 8 4 6 7 0.455937 49/50 NonOverlappingTemplate 4 11 2 3 4 5 5 6 6 4 0.289667 49/50 NonOverlappingTemplate 11 2 5 8 4 5 5 1 4 5 0.108791 50/50 NonOverlappingTemplate 4 4 5 4 8 5 6 5 2 7 0.816537 50/50 NonOverlappingTemplate 5 7 5 5 2 7 6 3 5 5 0.883171 48/50 NonOverlappingTemplate 10 4 4 5 6 3 3 10 2 3 0.096578 50/50 NonOverlappingTemplate 5 4 5 4 7 6 4 4 4 7 0.971699 50/50 NonOverlappingTemplate 5 7 6 3 6 4 4 4 7 4 0.935716 50/50 NonOverlappingTemplate 7 10 6 6 4 4 5 2 3 3 0.350485 49/50 NonOverlappingTemplate 3 1 4 1 6 8 5 7 10 5 0.085587 50/50 NonOverlappingTemplate 7 1 6 6 4 3 6 4 6 7 0.657933 49/50 NonOverlappingTemplate 10 4 4 3 7 10 4 2 3 3 0.075719 50/50 NonOverlappingTemplate 2 7 5 5 5 3 4 8 7 4 0.699313 50/50 NonOverlappingTemplate 6 4 9 3 1 2 7 9 5 4 0.137282 49/50 NonOverlappingTemplate 7 2 2 7 5 8 3 5 7 4 0.455937 48/50 NonOverlappingTemplate 1 4 6 9 10 3 3 5 2 7 0.066882 50/50 NonOverlappingTemplate 8 9 7 1 4 4 3 5 7 2 0.171867 48/50 NonOverlappingTemplate 4 6 8 6 6 1 4 5 5 5 0.739918 50/50 NonOverlappingTemplate 8 7 4 3 7 5 4 3 4 5 0.779188 48/50 NonOverlappingTemplate 5 5 7 4 3 5 2 10 5 4 0.455937 50/50 NonOverlappingTemplate 5 8 6 5 8 6 6 2 3 1 0.350485 49/50 NonOverlappingTemplate 2 3 4 12 4 8 3 6 4 4 0.066882 50/50 NonOverlappingTemplate 4 5 8 1 5 9 4 3 9 2 0.108791 50/50 NonOverlappingTemplate 8 2 4 6 5 6 3 6 4 6 0.779188 50/50 NonOverlappingTemplate 7 6 7 3 5 8 6 0 2 6 0.236810 49/50 NonOverlappingTemplate 5 7 5 5 6 4 4 4 8 2 0.816537 50/50 NonOverlappingTemplate 4 3 6 5 7 3 7 4 7 4 0.851383 48/50 NonOverlappingTemplate 6 3 5 5 5 5 4 9 4 4 0.851383 50/50 NonOverlappingTemplate 5 3 8 5 8 2 3 4 5 7 0.534146 49/50 NonOverlappingTemplate 6 2 3 6 5 7 3 5 9 4 0.534146 50/50 NonOverlappingTemplate 2 4 3 4 7 11 1 6 3 9 0.030806 50/50 NonOverlappingTemplate 4 1 4 7 3 7 5 9 3 7 0.289667 49/50 NonOverlappingTemplate 3 5 5 4 9 6 5 6 3 4 0.779188 50/50 NonOverlappingTemplate 3 7 4 6 5 5 9 4 4 3 0.699313 49/50 NonOverlappingTemplate 1 4 7 1 7 5 3 5 8 9 0.122325 50/50 NonOverlappingTemplate 3 5 5 9 6 4 5 3 2 8 0.455937 50/50 NonOverlappingTemplate 7 7 2 7 2 7 8 4 4 2 0.289667 48/50 NonOverlappingTemplate 5 5 2 8 4 8 3 9 2 4 0.236810 50/50 NonOverlappingTemplate 5 2 5 5 7 8 5 3 6 4 0.779188 50/50 NonOverlappingTemplate 6 5 5 7 3 7 5 2 5 5 0.883171 50/50 NonOverlappingTemplate 8 4 9 5 4 5 8 2 3 2 0.236810 48/50 NonOverlappingTemplate 7 5 3 6 5 5 8 2 6 3 0.699313 49/50 NonOverlappingTemplate 3 6 2 4 2 4 9 8 5 7 0.289667 50/50 NonOverlappingTemplate 6 6 3 2 5 5 6 7 6 4 0.883171 50/50 NonOverlappingTemplate 8 3 8 1 6 5 3 7 3 6 0.319084 50/50 NonOverlappingTemplate 6 3 4 7 4 4 3 8 4 7 0.739918 50/50 NonOverlappingTemplate 7 5 5 5 4 6 2 6 3 7 0.851383 50/50 NonOverlappingTemplate 2 5 9 3 4 1 5 5 11 5 0.058984 50/50 NonOverlappingTemplate 4 5 1 3 8 6 7 4 6 6 0.574903 50/50 NonOverlappingTemplate 7 2 4 3 4 8 8 5 5 4 0.574903 49/50 NonOverlappingTemplate 4 4 5 4 4 4 10 8 4 3 0.455937 50/50 NonOverlappingTemplate 9 5 7 3 5 2 5 3 5 6 0.574903 48/50 NonOverlappingTemplate 5 4 5 8 7 5 3 5 2 6 0.779188 49/50 NonOverlappingTemplate 4 6 1 5 6 10 5 3 5 5 0.383827 50/50 NonOverlappingTemplate 5 3 5 5 3 5 6 5 4 9 0.816537 49/50 NonOverlappingTemplate 9 4 6 4 2 2 7 7 3 6 0.350485 50/50 NonOverlappingTemplate 11 8 4 5 3 6 4 4 3 2 0.153763 49/50 NonOverlappingTemplate 4 4 3 7 5 4 7 5 3 8 0.779188 49/50 NonOverlappingTemplate 3 7 3 6 4 9 6 5 4 3 0.616305 49/50 NonOverlappingTemplate 2 4 4 6 4 10 7 5 4 4 0.455937 49/50 NonOverlappingTemplate 2 6 3 4 5 7 5 6 9 3 0.534146 50/50 NonOverlappingTemplate 9 5 0 7 6 1 8 5 5 4 0.108791 49/50 NonOverlappingTemplate 8 3 7 4 6 3 6 5 6 2 0.657933 50/50 NonOverlappingTemplate 4 6 4 5 5 5 6 5 5 5 0.999777 49/50 NonOverlappingTemplate 3 5 6 5 8 5 5 2 1 10 0.171867 50/50 NonOverlappingTemplate 5 4 2 6 6 8 4 5 6 4 0.851383 49/50 NonOverlappingTemplate 3 2 7 8 4 5 7 8 6 0 0.153763 50/50 NonOverlappingTemplate 7 9 2 6 0 5 4 7 4 6 0.191687 49/50 NonOverlappingTemplate 3 7 7 4 5 6 2 5 5 6 0.851383 49/50 NonOverlappingTemplate 4 4 2 7 9 3 4 8 2 7 0.236810 50/50 NonOverlappingTemplate 5 5 6 6 5 5 2 3 5 8 0.851383 49/50 NonOverlappingTemplate 4 4 4 8 4 5 6 5 6 4 0.955835 50/50 NonOverlappingTemplate 2 3 5 4 9 1 7 6 4 9 0.137282 50/50 NonOverlappingTemplate 1 6 8 7 1 6 4 7 5 5 0.319084 50/50 NonOverlappingTemplate 2 8 4 9 5 2 3 4 7 6 0.289667 50/50 NonOverlappingTemplate 9 3 5 5 8 9 1 4 4 2 0.108791 50/50 NonOverlappingTemplate 7 3 8 10 2 9 0 3 7 1 0.005762 50/50 NonOverlappingTemplate 5 5 4 6 4 5 5 4 5 7 0.996335 50/50 NonOverlappingTemplate 6 5 4 7 5 4 2 8 3 6 0.739918 50/50 NonOverlappingTemplate 6 2 7 5 4 3 10 7 2 4 0.236810 50/50 NonOverlappingTemplate 4 2 3 7 6 7 5 3 9 4 0.455937 50/50 NonOverlappingTemplate 5 1 5 3 11 7 8 6 1 3 0.035174 50/50 NonOverlappingTemplate 4 4 5 3 8 8 5 10 3 0 0.075719 50/50 NonOverlappingTemplate 4 5 6 7 5 4 5 5 6 3 0.983453 49/50 NonOverlappingTemplate 3 1 4 6 2 3 7 7 11 6 0.066882 49/50 NonOverlappingTemplate 4 5 3 8 3 2 10 4 4 7 0.236810 50/50 NonOverlappingTemplate 5 4 5 4 3 5 3 7 5 9 0.739918 50/50 NonOverlappingTemplate 6 4 9 3 1 2 7 9 5 4 0.137282 49/50 NonOverlappingTemplate 5 4 6 4 4 7 6 5 5 4 0.991468 50/50 OverlappingTemplate 7 8 3 1 7 6 4 4 7 3 0.383827 49/50 Universal 3 6 3 8 4 9 5 5 1 6 0.319084 50/50 ApproximateEntropy 2 3 1 3 7 5 1 4 3 0 0.005166 29/29 RandomExcursions 5 3 1 3 4 2 3 1 2 5 0.141256 28/29 RandomExcursions 3 0 7 3 2 2 4 6 1 1 0.001691 28/29 RandomExcursions 3 1 3 2 2 1 3 6 3 5 0.078086 29/29 RandomExcursions 5 5 4 2 1 3 1 1 4 3 0.078086 28/29 RandomExcursions 6 4 3 2 2 0 3 4 2 3 0.078086 28/29 RandomExcursions 3 5 2 0 6 2 2 3 3 3 0.057146 29/29 RandomExcursions 4 3 2 3 3 5 5 1 2 1 0.141256 28/29 RandomExcursions 2 2 2 6 1 6 1 2 5 2 0.010606 29/29 RandomExcursionsVariant 4 2 1 4 3 3 2 4 2 4 0.392456 29/29 RandomExcursionsVariant 3 5 0 4 1 6 1 4 1 4 0.007422 29/29 RandomExcursionsVariant 6 0 2 5 1 3 4 1 3 4 0.015065 29/29 RandomExcursionsVariant 5 2 3 2 4 0 2 3 4 4 0.141256 29/29 RandomExcursionsVariant 4 3 3 2 1 1 6 3 4 2 0.105618 29/29 RandomExcursionsVariant 5 5 0 1 0 1 6 1 3 7 0.000049 * 29/29 RandomExcursionsVariant 4 2 1 3 2 3 3 2 4 5 0.311542 29/29 RandomExcursionsVariant 5 1 4 0 6 3 3 2 2 3 0.029796 29/29 RandomExcursionsVariant 1 2 6 3 4 5 4 0 2 2 0.021262 29/29 RandomExcursionsVariant 3 3 2 4 2 4 2 1 2 6 0.141256 29/29 RandomExcursionsVariant 4 4 1 3 3 5 1 1 3 4 0.141256 29/29 RandomExcursionsVariant 3 3 4 4 3 2 2 1 5 2 0.311542 29/29 RandomExcursionsVariant 3 2 2 3 5 2 3 2 2 5 0.311542 29/29 RandomExcursionsVariant 2 3 5 2 1 3 2 5 4 2 0.186566 29/29 RandomExcursionsVariant 4 5 1 1 2 4 3 3 6 0 0.015065 28/29 RandomExcursionsVariant 4 6 0 1 4 4 4 0 3 3 0.010606 29/29 RandomExcursionsVariant 6 3 3 2 1 4 0 3 3 4 0.057146 29/29 RandomExcursionsVariant 6 1 6 6 7 6 3 6 3 6 0.657933 50/50 Serial 2 7 5 4 3 6 5 6 8 4 0.739918 50/50 Serial 6 7 4 3 8 9 4 5 2 2 0.289667 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 = 27 for a sample size = 29 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -