------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 4 3 8 6 4 8 4 3 6 4 0.699313 49/50 Frequency 5 2 3 3 6 5 9 4 3 10 0.171867 50/50 BlockFrequency 6 3 6 6 5 5 5 3 4 7 0.955835 50/50 CumulativeSums 3 7 4 6 6 2 6 10 1 5 0.191687 49/50 CumulativeSums 4 7 7 9 3 6 2 4 5 3 0.455937 50/50 Runs 7 3 3 3 5 4 3 5 11 6 0.236810 48/50 LongestRun 3 2 6 6 4 7 9 4 4 5 0.574903 49/50 Rank 2 6 4 5 4 9 6 3 7 4 0.574903 50/50 FFT 4 4 4 3 5 4 8 6 6 6 0.911413 50/50 NonOverlappingTemplate 2 6 6 4 3 5 6 7 6 5 0.883171 50/50 NonOverlappingTemplate 4 3 6 3 5 5 5 4 8 7 0.851383 50/50 NonOverlappingTemplate 2 3 2 2 10 9 2 9 6 5 0.020548 50/50 NonOverlappingTemplate 5 8 1 4 4 6 8 5 6 3 0.494392 49/50 NonOverlappingTemplate 3 7 5 6 2 6 2 4 9 6 0.419021 50/50 NonOverlappingTemplate 6 4 6 5 3 4 5 9 4 4 0.816537 48/50 NonOverlappingTemplate 4 4 7 0 6 7 4 8 2 8 0.171867 50/50 NonOverlappingTemplate 2 4 14 5 6 3 3 7 3 3 0.007694 50/50 NonOverlappingTemplate 7 6 2 1 5 6 5 9 4 5 0.383827 48/50 NonOverlappingTemplate 4 3 5 4 8 6 3 6 6 5 0.883171 48/50 NonOverlappingTemplate 6 4 4 6 11 7 3 2 3 4 0.191687 48/50 NonOverlappingTemplate 4 7 5 6 2 5 3 4 6 8 0.739918 50/50 NonOverlappingTemplate 4 6 7 5 6 5 2 4 6 5 0.935716 50/50 NonOverlappingTemplate 7 4 10 3 3 3 6 6 3 5 0.383827 49/50 NonOverlappingTemplate 1 3 5 6 6 6 6 6 7 4 0.739918 50/50 NonOverlappingTemplate 4 5 5 4 5 4 3 5 7 8 0.911413 50/50 NonOverlappingTemplate 5 5 3 7 6 3 4 6 5 6 0.955835 50/50 NonOverlappingTemplate 6 8 4 6 3 2 8 5 4 4 0.616305 48/50 NonOverlappingTemplate 5 6 7 4 3 7 5 4 6 3 0.911413 50/50 NonOverlappingTemplate 7 4 3 9 3 4 4 3 6 7 0.534146 49/50 NonOverlappingTemplate 2 9 2 7 3 8 5 5 3 6 0.262249 50/50 NonOverlappingTemplate 6 2 3 8 1 5 4 10 7 4 0.122325 50/50 NonOverlappingTemplate 6 4 5 5 3 7 5 4 8 3 0.851383 50/50 NonOverlappingTemplate 2 5 11 4 2 3 3 9 5 6 0.066882 49/50 NonOverlappingTemplate 4 8 3 9 3 3 4 5 5 6 0.534146 50/50 NonOverlappingTemplate 4 11 2 5 6 3 6 5 5 3 0.262249 50/50 NonOverlappingTemplate 7 6 4 5 7 5 5 2 3 6 0.851383 49/50 NonOverlappingTemplate 5 4 3 6 2 6 5 4 4 11 0.289667 50/50 NonOverlappingTemplate 2 5 2 5 4 6 6 5 6 9 0.574903 49/50 NonOverlappingTemplate 6 3 9 3 2 7 4 2 6 8 0.236810 50/50 NonOverlappingTemplate 6 7 4 6 4 3 5 3 8 4 0.816537 50/50 NonOverlappingTemplate 9 1 2 3 6 7 7 5 8 2 0.108791 50/50 NonOverlappingTemplate 8 5 6 7 5 2 3 5 0 9 0.137282 50/50 NonOverlappingTemplate 2 7 3 6 5 1 8 9 4 5 0.213309 49/50 NonOverlappingTemplate 5 4 6 5 8 9 3 4 3 3 0.534146 49/50 NonOverlappingTemplate 5 6 3 3 10 8 4 2 4 5 0.289667 50/50 NonOverlappingTemplate 6 7 5 6 5 7 5 1 2 6 0.616305 48/50 NonOverlappingTemplate 6 2 7 5 6 6 7 2 4 5 0.739918 49/50 NonOverlappingTemplate 9 6 6 3 3 3 5 6 5 4 0.699313 50/50 NonOverlappingTemplate 5 5 6 6 8 6 6 3 2 3 0.739918 50/50 NonOverlappingTemplate 6 9 3 7 6 4 2 7 1 5 0.262249 50/50 NonOverlappingTemplate 7 8 2 5 6 4 6 3 4 5 0.739918 48/50 NonOverlappingTemplate 5 7 5 4 5 2 7 7 4 4 0.851383 50/50 NonOverlappingTemplate 6 4 4 5 8 5 5 4 4 5 0.971699 50/50 NonOverlappingTemplate 4 7 4 6 4 9 7 5 3 1 0.383827 50/50 NonOverlappingTemplate 6 5 3 4 2 2 10 4 8 6 0.213309 50/50 NonOverlappingTemplate 5 2 4 7 6 6 3 5 6 6 0.883171 49/50 NonOverlappingTemplate 3 8 5 5 5 7 3 5 4 5 0.883171 50/50 NonOverlappingTemplate 3 7 2 8 6 9 5 4 4 2 0.289667 50/50 NonOverlappingTemplate 6 7 5 4 5 8 3 3 3 6 0.779188 50/50 NonOverlappingTemplate 5 7 7 7 6 5 1 3 2 7 0.419021 50/50 NonOverlappingTemplate 3 6 4 5 2 5 3 10 7 5 0.383827 50/50 NonOverlappingTemplate 5 7 2 1 2 8 5 7 8 5 0.213309 49/50 NonOverlappingTemplate 9 7 3 3 3 7 5 5 3 5 0.534146 50/50 NonOverlappingTemplate 7 6 5 4 8 2 4 3 5 6 0.739918 50/50 NonOverlappingTemplate 5 7 6 4 5 8 4 3 4 4 0.883171 50/50 NonOverlappingTemplate 4 4 6 5 5 8 4 6 6 2 0.851383 48/50 NonOverlappingTemplate 5 1 5 3 7 6 7 5 6 5 0.739918 49/50 NonOverlappingTemplate 5 6 5 4 5 2 6 6 6 5 0.971699 50/50 NonOverlappingTemplate 4 3 4 6 6 3 5 5 10 4 0.574903 49/50 NonOverlappingTemplate 6 5 9 6 3 2 7 2 4 6 0.419021 48/50 NonOverlappingTemplate 4 5 5 5 6 5 7 6 5 2 0.955835 48/50 NonOverlappingTemplate 6 5 7 4 4 3 10 2 6 3 0.350485 49/50 NonOverlappingTemplate 3 3 6 7 5 5 3 2 8 8 0.455937 50/50 NonOverlappingTemplate 4 3 10 2 6 7 4 3 7 4 0.289667 50/50 NonOverlappingTemplate 5 6 6 6 8 4 3 3 5 4 0.883171 50/50 NonOverlappingTemplate 5 5 1 7 8 5 3 3 7 6 0.494392 50/50 NonOverlappingTemplate 2 3 6 4 4 4 4 9 9 5 0.350485 49/50 NonOverlappingTemplate 4 7 5 6 7 2 6 4 3 6 0.816537 50/50 NonOverlappingTemplate 4 1 6 5 7 1 7 6 4 9 0.213309 50/50 NonOverlappingTemplate 1 9 8 6 4 2 7 3 3 7 0.137282 50/50 NonOverlappingTemplate 9 4 3 6 7 3 7 3 3 5 0.494392 49/50 NonOverlappingTemplate 6 5 4 4 4 6 6 2 8 5 0.851383 49/50 NonOverlappingTemplate 4 4 4 3 5 4 8 6 6 6 0.911413 50/50 NonOverlappingTemplate 8 3 7 4 2 6 5 0 6 9 0.122325 48/50 NonOverlappingTemplate 5 4 5 4 3 4 7 6 6 6 0.971699 49/50 NonOverlappingTemplate 3 10 7 7 4 1 5 2 5 6 0.171867 49/50 NonOverlappingTemplate 3 7 4 5 3 7 5 5 3 8 0.739918 50/50 NonOverlappingTemplate 8 6 3 8 7 4 5 1 2 6 0.289667 49/50 NonOverlappingTemplate 5 3 6 4 5 12 2 4 1 8 0.035174 49/50 NonOverlappingTemplate 7 2 3 5 7 4 3 9 8 2 0.213309 50/50 NonOverlappingTemplate 5 4 6 6 2 5 5 7 4 6 0.935716 50/50 NonOverlappingTemplate 7 10 2 3 5 4 5 3 5 6 0.383827 50/50 NonOverlappingTemplate 2 3 8 8 3 7 5 3 5 6 0.455937 49/50 NonOverlappingTemplate 4 3 3 8 8 1 4 6 7 6 0.350485 50/50 NonOverlappingTemplate 8 4 5 6 6 3 5 3 5 5 0.911413 50/50 NonOverlappingTemplate 4 4 3 6 6 4 6 8 5 4 0.911413 50/50 NonOverlappingTemplate 5 5 9 3 6 4 7 7 2 2 0.383827 50/50 NonOverlappingTemplate 9 8 3 4 3 6 2 2 8 5 0.191687 48/50 NonOverlappingTemplate 7 2 2 6 6 7 5 5 4 6 0.739918 50/50 NonOverlappingTemplate 2 4 8 6 5 7 4 7 4 3 0.657933 49/50 NonOverlappingTemplate 4 4 5 8 5 5 8 3 4 4 0.816537 50/50 NonOverlappingTemplate 4 6 3 3 4 8 4 7 5 6 0.816537 50/50 NonOverlappingTemplate 8 6 6 5 3 5 6 4 4 3 0.883171 50/50 NonOverlappingTemplate 3 6 7 8 4 5 3 5 5 4 0.851383 50/50 NonOverlappingTemplate 5 5 8 5 3 5 2 4 3 10 0.319084 50/50 NonOverlappingTemplate 4 6 5 6 5 5 3 4 5 7 0.983453 49/50 NonOverlappingTemplate 2 5 2 6 9 4 12 3 1 6 0.011791 49/50 NonOverlappingTemplate 7 6 3 4 10 2 6 4 4 4 0.383827 49/50 NonOverlappingTemplate 2 5 2 5 7 7 7 7 3 5 0.574903 50/50 NonOverlappingTemplate 2 4 4 6 6 13 4 5 3 3 0.045675 50/50 NonOverlappingTemplate 1 5 8 7 5 10 3 1 8 2 0.030806 50/50 NonOverlappingTemplate 4 1 3 4 5 4 9 10 6 4 0.153763 49/50 NonOverlappingTemplate 3 8 3 6 5 10 3 4 4 4 0.350485 50/50 NonOverlappingTemplate 5 4 6 5 6 5 4 5 5 5 0.999777 49/50 NonOverlappingTemplate 5 8 5 5 9 2 7 0 5 4 0.171867 49/50 NonOverlappingTemplate 7 9 0 2 2 11 7 3 2 7 0.004301 50/50 NonOverlappingTemplate 7 8 4 6 6 3 6 2 4 4 0.699313 50/50 NonOverlappingTemplate 2 6 3 9 7 3 7 5 4 4 0.455937 50/50 NonOverlappingTemplate 0 5 4 3 6 8 7 4 6 7 0.350485 50/50 NonOverlappingTemplate 8 5 5 7 4 3 3 7 5 3 0.739918 49/50 NonOverlappingTemplate 9 5 2 2 4 7 6 4 7 4 0.419021 48/50 NonOverlappingTemplate 4 6 3 6 5 6 7 2 5 6 0.883171 48/50 NonOverlappingTemplate 5 7 1 5 3 3 3 8 7 8 0.289667 49/50 NonOverlappingTemplate 3 4 3 11 5 3 4 7 5 5 0.289667 50/50 NonOverlappingTemplate 6 11 5 7 2 6 5 5 1 2 0.085587 50/50 NonOverlappingTemplate 5 6 3 5 8 3 4 5 5 6 0.911413 50/50 NonOverlappingTemplate 5 5 6 9 3 2 5 5 5 5 0.739918 49/50 NonOverlappingTemplate 6 4 5 3 9 1 3 6 8 5 0.319084 48/50 NonOverlappingTemplate 4 4 6 5 5 4 6 6 8 2 0.851383 49/50 NonOverlappingTemplate 8 5 6 5 5 5 4 4 5 3 0.955835 50/50 NonOverlappingTemplate 6 11 6 4 5 4 2 2 5 5 0.236810 50/50 NonOverlappingTemplate 6 8 1 2 6 8 3 4 4 8 0.213309 48/50 NonOverlappingTemplate 8 6 3 1 3 8 4 8 5 4 0.289667 49/50 NonOverlappingTemplate 2 5 7 4 5 6 7 5 6 3 0.851383 50/50 NonOverlappingTemplate 6 8 5 5 6 5 5 3 2 5 0.851383 49/50 NonOverlappingTemplate 6 8 4 4 3 4 9 4 4 4 0.616305 49/50 NonOverlappingTemplate 6 4 5 4 6 4 6 8 4 3 0.911413 49/50 NonOverlappingTemplate 5 9 5 6 4 4 4 5 3 5 0.851383 49/50 NonOverlappingTemplate 9 3 8 6 2 1 6 5 4 6 0.236810 49/50 NonOverlappingTemplate 4 3 2 10 3 4 3 7 3 11 0.030806 50/50 NonOverlappingTemplate 8 1 6 3 4 5 4 6 10 3 0.191687 48/50 NonOverlappingTemplate 6 7 7 4 4 2 4 5 9 2 0.419021 48/50 NonOverlappingTemplate 3 3 6 3 4 8 7 5 5 6 0.779188 50/50 NonOverlappingTemplate 2 4 9 5 7 5 4 4 5 5 0.699313 50/50 NonOverlappingTemplate 4 2 4 5 7 4 4 6 11 3 0.236810 49/50 NonOverlappingTemplate 4 7 5 4 2 6 5 8 6 3 0.739918 50/50 NonOverlappingTemplate 2 4 5 7 3 7 9 5 4 4 0.534146 49/50 NonOverlappingTemplate 4 6 4 4 5 5 4 4 8 6 0.955835 49/50 NonOverlappingTemplate 3 4 9 8 2 4 4 4 9 3 0.191687 50/50 NonOverlappingTemplate 6 3 10 4 3 4 2 5 9 4 0.191687 50/50 NonOverlappingTemplate 5 5 6 4 6 4 7 5 4 4 0.991468 50/50 NonOverlappingTemplate 4 3 6 4 8 6 7 5 3 4 0.816537 50/50 NonOverlappingTemplate 3 5 6 6 7 6 4 7 2 4 0.816537 50/50 NonOverlappingTemplate 7 4 6 9 4 4 4 1 7 4 0.419021 50/50 NonOverlappingTemplate 6 6 5 5 4 3 6 3 3 9 0.699313 50/50 NonOverlappingTemplate 6 5 4 4 4 6 6 2 8 5 0.851383 49/50 NonOverlappingTemplate 6 2 6 8 3 5 2 5 7 6 0.574903 50/50 OverlappingTemplate 3 7 9 4 2 5 10 6 2 2 0.075719 50/50 Universal 6 1 4 0 9 7 8 4 6 5 0.096578 49/50 ApproximateEntropy 0 2 5 7 4 3 3 3 1 3 0.232760 31/31 RandomExcursions 4 3 4 2 3 1 4 4 4 2 0.931952 30/31 RandomExcursions 5 2 2 4 2 6 2 3 3 2 0.706149 31/31 RandomExcursions 4 3 6 5 2 1 3 0 3 4 0.378138 29/31 RandomExcursions 3 7 5 3 1 4 0 1 4 3 0.162606 31/31 RandomExcursions 5 2 3 3 5 5 3 2 2 1 0.706149 31/31 RandomExcursions 4 4 0 2 7 3 1 2 5 3 0.195163 29/31 RandomExcursions 4 3 1 4 1 5 2 2 4 5 0.637119 31/31 RandomExcursions 4 3 3 4 5 3 1 3 2 3 0.931952 31/31 RandomExcursionsVariant 4 4 2 3 6 3 3 4 0 2 0.568055 31/31 RandomExcursionsVariant 3 5 1 8 6 0 0 2 3 3 0.015963 31/31 RandomExcursionsVariant 3 1 5 5 4 3 3 4 2 1 0.706149 30/31 RandomExcursionsVariant 3 4 2 4 4 4 5 3 0 2 0.706149 30/31 RandomExcursionsVariant 3 3 5 3 4 7 3 2 0 1 0.232760 31/31 RandomExcursionsVariant 2 4 3 7 3 3 3 2 3 1 0.568055 31/31 RandomExcursionsVariant 1 4 5 6 3 0 3 2 3 4 0.378138 31/31 RandomExcursionsVariant 2 4 5 2 3 2 1 5 4 3 0.772760 31/31 RandomExcursionsVariant 6 1 4 1 0 6 2 5 3 3 0.134686 31/31 RandomExcursionsVariant 6 1 3 2 2 3 3 4 3 4 0.772760 30/31 RandomExcursionsVariant 5 3 2 2 2 3 2 2 7 3 0.500934 29/31 RandomExcursionsVariant 4 3 2 2 2 5 4 7 1 1 0.275709 30/31 RandomExcursionsVariant 2 6 0 3 3 2 3 4 4 4 0.568055 30/31 RandomExcursionsVariant 3 7 2 0 3 4 1 1 6 4 0.090936 31/31 RandomExcursionsVariant 5 4 1 3 3 2 4 4 3 2 0.888137 31/31 RandomExcursionsVariant 2 8 1 4 3 2 3 4 3 1 0.195163 31/31 RandomExcursionsVariant 4 5 3 3 4 3 1 3 2 3 0.931952 31/31 RandomExcursionsVariant 7 5 5 5 4 6 6 4 5 3 0.983453 48/50 Serial 8 8 4 7 5 4 3 2 3 6 0.494392 49/50 Serial 1 5 3 8 7 4 4 5 8 5 0.455937 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 = 31 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -