------------------------------------------------------------------------------ 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 4 6 6 2 3 9 4 3 0.494392 48/50 Frequency 7 5 2 7 3 7 7 6 3 3 0.574903 48/50 BlockFrequency 7 4 5 6 5 4 7 3 4 5 0.955835 49/50 CumulativeSums 8 3 4 7 4 4 4 6 4 6 0.851383 49/50 CumulativeSums 6 5 5 3 5 11 3 2 5 5 0.289667 49/50 Runs 3 6 5 0 2 5 5 14 6 4 0.003712 49/50 LongestRun 5 6 2 1 6 8 5 6 5 6 0.574903 50/50 Rank 4 8 2 6 6 6 4 5 9 0 0.171867 50/50 FFT 8 6 3 6 5 5 4 4 5 4 0.935716 49/50 NonOverlappingTemplate 5 5 5 6 3 3 1 6 8 8 0.455937 49/50 NonOverlappingTemplate 4 7 3 3 8 6 6 3 5 5 0.779188 50/50 NonOverlappingTemplate 1 8 7 4 3 3 6 5 5 8 0.383827 50/50 NonOverlappingTemplate 7 4 8 3 5 5 4 3 5 6 0.851383 50/50 NonOverlappingTemplate 5 6 3 5 3 7 3 5 9 4 0.657933 49/50 NonOverlappingTemplate 6 7 3 7 6 4 5 5 2 5 0.851383 49/50 NonOverlappingTemplate 2 9 2 9 4 5 2 8 6 3 0.096578 50/50 NonOverlappingTemplate 4 6 4 9 6 6 3 5 3 4 0.739918 50/50 NonOverlappingTemplate 7 7 3 5 2 6 3 3 9 5 0.419021 50/50 NonOverlappingTemplate 10 7 3 3 3 2 7 5 5 5 0.289667 49/50 NonOverlappingTemplate 3 7 2 4 5 5 4 9 8 3 0.383827 50/50 NonOverlappingTemplate 5 6 5 6 6 2 8 6 3 3 0.739918 50/50 NonOverlappingTemplate 4 1 3 9 6 5 8 4 3 7 0.262249 50/50 NonOverlappingTemplate 6 4 5 5 6 8 5 7 3 1 0.616305 50/50 NonOverlappingTemplate 7 6 4 6 3 8 3 3 3 7 0.616305 49/50 NonOverlappingTemplate 3 6 4 7 1 5 6 8 3 7 0.455937 50/50 NonOverlappingTemplate 5 5 5 4 4 5 6 6 6 4 0.998821 50/50 NonOverlappingTemplate 7 3 7 7 5 5 5 2 4 5 0.816537 50/50 NonOverlappingTemplate 7 1 4 3 4 10 4 8 5 4 0.191687 50/50 NonOverlappingTemplate 5 6 9 4 5 3 5 5 3 5 0.816537 50/50 NonOverlappingTemplate 8 7 3 5 5 5 7 3 6 1 0.494392 49/50 NonOverlappingTemplate 4 5 5 5 2 6 7 8 3 5 0.779188 50/50 NonOverlappingTemplate 8 6 5 4 3 3 4 3 8 6 0.657933 48/50 NonOverlappingTemplate 8 7 3 4 2 5 5 5 9 2 0.319084 50/50 NonOverlappingTemplate 7 5 3 7 4 7 5 4 3 5 0.883171 50/50 NonOverlappingTemplate 3 7 6 2 7 5 11 2 4 3 0.108791 50/50 NonOverlappingTemplate 5 3 3 7 4 4 7 4 8 5 0.779188 50/50 NonOverlappingTemplate 3 7 3 7 6 4 5 6 5 4 0.911413 50/50 NonOverlappingTemplate 6 7 4 5 6 5 3 3 3 8 0.779188 50/50 NonOverlappingTemplate 7 8 3 5 2 5 3 8 6 3 0.455937 49/50 NonOverlappingTemplate 5 3 5 7 3 7 2 6 3 9 0.419021 48/50 NonOverlappingTemplate 3 5 5 3 8 3 9 2 5 7 0.350485 50/50 NonOverlappingTemplate 4 4 8 3 4 7 7 6 3 4 0.739918 49/50 NonOverlappingTemplate 6 5 3 2 3 9 4 10 3 5 0.171867 50/50 NonOverlappingTemplate 1 7 3 7 5 8 7 3 4 5 0.419021 50/50 NonOverlappingTemplate 5 4 5 4 4 3 9 5 8 3 0.616305 50/50 NonOverlappingTemplate 7 7 7 2 3 5 4 6 3 6 0.699313 49/50 NonOverlappingTemplate 5 4 9 5 7 2 5 2 9 2 0.171867 50/50 NonOverlappingTemplate 7 3 7 3 4 6 4 3 5 8 0.699313 50/50 NonOverlappingTemplate 5 2 5 4 7 3 7 7 6 4 0.779188 49/50 NonOverlappingTemplate 8 6 1 4 3 7 8 7 4 2 0.236810 48/50 NonOverlappingTemplate 5 6 3 6 3 6 7 10 3 1 0.213309 50/50 NonOverlappingTemplate 2 13 3 4 3 4 5 4 6 6 0.045675 50/50 NonOverlappingTemplate 5 4 1 9 6 5 5 8 2 5 0.319084 48/50 NonOverlappingTemplate 10 4 5 5 5 5 6 5 2 3 0.534146 49/50 NonOverlappingTemplate 4 4 3 3 7 8 7 7 4 3 0.616305 50/50 NonOverlappingTemplate 6 5 3 5 9 6 5 4 5 2 0.699313 49/50 NonOverlappingTemplate 3 5 3 6 9 4 5 6 3 6 0.699313 50/50 NonOverlappingTemplate 2 6 4 5 5 6 6 5 4 7 0.935716 50/50 NonOverlappingTemplate 3 10 7 2 3 4 4 4 7 6 0.289667 50/50 NonOverlappingTemplate 7 4 4 8 1 1 5 9 6 5 0.171867 50/50 NonOverlappingTemplate 1 8 1 5 5 5 8 4 7 6 0.262249 50/50 NonOverlappingTemplate 7 4 6 1 6 6 8 6 3 3 0.494392 50/50 NonOverlappingTemplate 4 3 4 7 5 3 7 3 6 8 0.699313 49/50 NonOverlappingTemplate 5 5 7 5 5 5 7 1 4 6 0.816537 50/50 NonOverlappingTemplate 5 5 3 6 6 4 7 5 6 3 0.955835 50/50 NonOverlappingTemplate 5 3 3 8 4 7 3 7 8 2 0.383827 48/50 NonOverlappingTemplate 4 6 5 5 1 5 10 5 7 2 0.262249 49/50 NonOverlappingTemplate 2 7 6 2 9 3 4 4 8 5 0.289667 49/50 NonOverlappingTemplate 6 5 4 6 7 7 4 2 5 4 0.883171 49/50 NonOverlappingTemplate 7 1 3 5 7 5 1 5 9 7 0.171867 49/50 NonOverlappingTemplate 7 4 3 1 6 6 4 6 9 4 0.419021 50/50 NonOverlappingTemplate 5 3 4 6 4 1 6 1 12 8 0.020548 49/50 NonOverlappingTemplate 7 4 7 4 6 6 7 4 3 2 0.739918 49/50 NonOverlappingTemplate 5 1 6 4 9 7 6 0 5 7 0.137282 49/50 NonOverlappingTemplate 3 6 4 6 7 8 3 4 4 5 0.816537 49/50 NonOverlappingTemplate 5 5 8 4 2 6 2 5 8 5 0.574903 50/50 NonOverlappingTemplate 2 8 1 6 5 5 6 5 7 5 0.534146 50/50 NonOverlappingTemplate 4 4 9 6 3 3 5 3 4 9 0.383827 50/50 NonOverlappingTemplate 5 6 2 2 6 6 4 8 6 5 0.699313 48/50 NonOverlappingTemplate 8 7 4 6 6 3 2 5 4 5 0.739918 49/50 NonOverlappingTemplate 2 2 6 2 5 6 8 5 4 10 0.171867 50/50 NonOverlappingTemplate 4 6 5 4 3 5 6 7 6 4 0.971699 50/50 NonOverlappingTemplate 8 6 3 6 5 5 4 4 5 4 0.935716 49/50 NonOverlappingTemplate 8 8 3 3 2 2 8 5 8 3 0.153763 49/50 NonOverlappingTemplate 7 8 2 4 5 5 6 5 5 3 0.779188 50/50 NonOverlappingTemplate 5 6 3 7 2 5 4 7 7 4 0.779188 49/50 NonOverlappingTemplate 5 9 5 8 2 6 3 5 4 3 0.455937 49/50 NonOverlappingTemplate 2 4 8 10 3 7 4 8 1 3 0.058984 50/50 NonOverlappingTemplate 7 3 7 1 5 5 5 8 2 7 0.350485 50/50 NonOverlappingTemplate 10 6 5 2 6 9 5 1 3 3 0.085587 48/50 NonOverlappingTemplate 4 5 2 4 2 3 7 6 9 8 0.289667 48/50 NonOverlappingTemplate 5 7 7 2 6 6 3 4 5 5 0.851383 50/50 NonOverlappingTemplate 8 6 4 6 8 6 2 2 4 4 0.494392 49/50 NonOverlappingTemplate 7 5 2 6 5 4 7 2 7 5 0.699313 50/50 NonOverlappingTemplate 9 6 4 5 3 5 4 3 8 3 0.534146 48/50 NonOverlappingTemplate 6 6 5 2 3 2 8 8 6 4 0.455937 49/50 NonOverlappingTemplate 4 5 1 5 10 4 8 5 7 1 0.108791 50/50 NonOverlappingTemplate 4 7 9 6 4 5 2 5 4 4 0.657933 50/50 NonOverlappingTemplate 8 2 5 5 4 7 6 4 7 2 0.574903 50/50 NonOverlappingTemplate 5 1 5 4 6 10 6 2 3 8 0.153763 49/50 NonOverlappingTemplate 4 6 6 4 5 7 5 5 3 5 0.983453 49/50 NonOverlappingTemplate 6 7 4 3 7 4 4 5 6 4 0.935716 49/50 NonOverlappingTemplate 3 6 2 9 5 7 5 5 4 4 0.616305 50/50 NonOverlappingTemplate 7 6 4 2 6 6 2 4 8 5 0.616305 50/50 NonOverlappingTemplate 2 5 7 5 4 7 9 2 6 3 0.383827 50/50 NonOverlappingTemplate 7 3 4 7 4 4 6 5 4 6 0.935716 50/50 NonOverlappingTemplate 8 6 5 1 7 4 1 7 4 7 0.262249 50/50 NonOverlappingTemplate 7 4 6 6 5 5 2 4 7 4 0.883171 50/50 NonOverlappingTemplate 6 5 3 5 7 3 3 6 10 2 0.319084 50/50 NonOverlappingTemplate 1 3 5 7 8 7 5 8 2 4 0.262249 50/50 NonOverlappingTemplate 4 8 7 2 4 2 7 7 4 5 0.494392 50/50 NonOverlappingTemplate 2 7 4 5 8 4 7 3 5 5 0.699313 50/50 NonOverlappingTemplate 7 2 1 6 5 7 6 7 5 4 0.534146 50/50 NonOverlappingTemplate 3 0 9 5 6 7 5 7 6 2 0.171867 50/50 NonOverlappingTemplate 2 1 4 2 10 3 6 7 7 8 0.058984 49/50 NonOverlappingTemplate 2 7 7 11 5 3 2 4 5 4 0.137282 50/50 NonOverlappingTemplate 3 8 7 4 7 4 5 4 3 5 0.779188 50/50 NonOverlappingTemplate 6 1 8 5 8 4 5 5 3 5 0.534146 48/50 NonOverlappingTemplate 2 4 4 4 8 6 8 4 4 6 0.657933 49/50 NonOverlappingTemplate 6 5 2 7 5 7 5 3 4 6 0.851383 49/50 NonOverlappingTemplate 5 6 3 3 3 7 3 12 3 5 0.096578 48/50 NonOverlappingTemplate 7 5 3 12 2 1 4 6 5 5 0.051942 49/50 NonOverlappingTemplate 7 5 2 4 7 7 7 6 4 1 0.455937 48/50 NonOverlappingTemplate 5 8 8 3 5 6 7 0 5 3 0.262249 47/50 NonOverlappingTemplate 8 4 6 2 9 3 4 5 6 3 0.419021 49/50 NonOverlappingTemplate 4 6 4 7 4 5 6 3 5 6 0.971699 50/50 NonOverlappingTemplate 7 2 5 6 6 4 3 9 5 3 0.534146 50/50 NonOverlappingTemplate 11 6 3 8 2 0 6 2 6 6 0.023545 48/50 NonOverlappingTemplate 5 5 4 4 4 7 4 5 7 5 0.983453 50/50 NonOverlappingTemplate 6 9 1 5 4 4 5 6 6 4 0.574903 49/50 NonOverlappingTemplate 5 1 4 6 5 6 6 3 9 5 0.534146 50/50 NonOverlappingTemplate 2 7 6 5 6 1 5 2 8 8 0.236810 50/50 NonOverlappingTemplate 5 5 1 4 8 4 8 4 6 5 0.574903 50/50 NonOverlappingTemplate 7 6 4 3 4 2 7 3 8 6 0.574903 50/50 NonOverlappingTemplate 5 5 4 3 7 8 4 5 5 4 0.911413 49/50 NonOverlappingTemplate 6 8 9 5 4 0 6 5 4 3 0.236810 50/50 NonOverlappingTemplate 1 5 9 5 4 6 2 9 4 5 0.213309 50/50 NonOverlappingTemplate 9 5 4 6 4 4 6 2 5 5 0.739918 50/50 NonOverlappingTemplate 8 4 2 8 5 8 4 3 7 1 0.191687 48/50 NonOverlappingTemplate 3 4 4 8 7 5 5 4 7 3 0.779188 49/50 NonOverlappingTemplate 8 6 5 3 5 2 5 4 4 8 0.657933 50/50 NonOverlappingTemplate 7 4 4 5 8 4 6 2 5 5 0.816537 50/50 NonOverlappingTemplate 5 2 1 4 6 7 7 7 8 3 0.319084 50/50 NonOverlappingTemplate 4 5 8 6 5 6 3 2 6 5 0.816537 50/50 NonOverlappingTemplate 5 1 3 5 7 6 6 10 2 5 0.213309 50/50 NonOverlappingTemplate 0 6 8 1 6 6 5 4 7 7 0.191687 50/50 NonOverlappingTemplate 3 6 4 2 6 5 4 6 6 8 0.779188 50/50 NonOverlappingTemplate 5 5 5 5 3 6 8 5 2 6 0.851383 49/50 NonOverlappingTemplate 7 2 5 9 10 4 2 2 3 6 0.075719 49/50 NonOverlappingTemplate 4 6 2 6 6 5 4 4 6 7 0.911413 49/50 NonOverlappingTemplate 3 5 6 5 4 3 9 4 3 8 0.534146 50/50 NonOverlappingTemplate 4 9 7 4 5 4 4 2 6 5 0.657933 50/50 NonOverlappingTemplate 5 3 10 2 7 5 4 5 7 2 0.262249 50/50 NonOverlappingTemplate 8 5 4 7 2 3 3 10 5 3 0.213309 47/50 NonOverlappingTemplate 5 5 8 4 2 10 7 3 4 2 0.191687 50/50 NonOverlappingTemplate 4 6 5 4 3 5 6 7 6 4 0.971699 50/50 NonOverlappingTemplate 3 4 2 6 5 6 4 9 8 3 0.419021 50/50 OverlappingTemplate 4 4 5 1 6 3 7 7 7 6 0.616305 50/50 Universal 7 9 2 4 5 3 8 5 0 7 0.108791 50/50 ApproximateEntropy 1 4 0 0 8 2 3 1 5 0 0.000199 24/24 RandomExcursions 3 1 1 5 2 3 2 5 0 2 0.162606 24/24 RandomExcursions 4 2 1 0 3 2 0 5 4 3 0.122325 23/24 RandomExcursions 2 2 5 3 0 1 4 3 1 3 0.275709 24/24 RandomExcursions 2 1 4 5 3 2 4 0 2 1 0.213309 24/24 RandomExcursions 1 1 1 1 6 1 1 3 6 3 0.017912 24/24 RandomExcursions 2 4 6 0 3 2 0 2 3 2 0.090936 24/24 RandomExcursions 1 2 3 3 3 2 0 4 2 4 0.534146 24/24 RandomExcursions 3 2 1 3 4 2 2 1 1 5 0.437274 24/24 RandomExcursionsVariant 2 3 1 4 4 0 4 1 1 4 0.213309 24/24 RandomExcursionsVariant 1 2 2 1 5 4 1 1 5 2 0.162606 24/24 RandomExcursionsVariant 1 1 1 1 2 7 4 1 2 4 0.025193 24/24 RandomExcursionsVariant 1 0 2 1 2 3 1 6 5 3 0.048716 24/24 RandomExcursionsVariant 1 0 1 2 4 1 4 2 3 6 0.066882 24/24 RandomExcursionsVariant 0 1 2 4 2 2 2 6 4 1 0.090936 24/24 RandomExcursionsVariant 2 0 1 5 1 2 3 0 6 4 0.017912 24/24 RandomExcursionsVariant 1 2 4 3 2 2 1 3 5 1 0.437274 24/24 RandomExcursionsVariant 4 4 1 1 2 2 4 2 3 1 0.534146 23/24 RandomExcursionsVariant 2 4 4 1 3 4 1 2 1 2 0.534146 24/24 RandomExcursionsVariant 1 5 4 4 2 1 1 0 3 3 0.162606 24/24 RandomExcursionsVariant 3 5 2 3 2 2 4 1 2 0 0.350485 24/24 RandomExcursionsVariant 3 4 5 2 1 2 2 3 0 2 0.350485 24/24 RandomExcursionsVariant 3 5 3 3 2 2 1 2 1 2 0.637119 24/24 RandomExcursionsVariant 3 4 2 5 1 4 2 1 1 1 0.275709 24/24 RandomExcursionsVariant 3 3 4 2 3 2 2 3 1 1 0.834308 24/24 RandomExcursionsVariant 1 4 3 3 2 3 3 0 2 3 0.637119 24/24 RandomExcursionsVariant 6 6 5 4 4 4 5 6 4 6 0.996335 49/50 Serial 8 3 3 4 6 5 4 5 6 6 0.883171 49/50 Serial 2 4 4 10 8 5 2 4 6 5 0.262249 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 = 22 for a sample size = 24 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -