------------------------------------------------------------------------------ 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 7 5 5 2 2 7 5 7 5 0.739918 50/50 Frequency 4 6 4 6 4 6 2 8 5 5 0.851383 50/50 BlockFrequency 5 5 8 5 3 8 5 3 4 4 0.779188 50/50 CumulativeSums 3 6 8 4 2 5 8 6 4 4 0.616305 50/50 CumulativeSums 6 11 4 4 4 4 3 4 3 7 0.289667 50/50 Runs 4 2 3 5 8 11 7 8 0 2 0.011791 50/50 LongestRun 4 5 1 6 8 5 5 8 4 4 0.574903 50/50 Rank 14 6 1 6 2 2 9 4 3 3 0.000818 50/50 FFT 6 12 4 3 5 3 1 11 2 3 0.003201 50/50 NonOverlappingTemplate 2 6 7 9 7 6 3 3 3 4 0.383827 50/50 NonOverlappingTemplate 3 5 3 4 6 7 4 4 8 6 0.816537 50/50 NonOverlappingTemplate 1 11 6 5 7 2 4 5 5 4 0.137282 49/50 NonOverlappingTemplate 3 6 4 6 4 8 6 4 6 3 0.851383 49/50 NonOverlappingTemplate 3 3 5 7 5 5 5 6 6 5 0.971699 50/50 NonOverlappingTemplate 6 6 6 4 3 5 3 4 10 3 0.494392 49/50 NonOverlappingTemplate 10 4 2 3 4 8 5 7 4 3 0.236810 47/50 NonOverlappingTemplate 3 3 6 8 5 3 4 9 3 6 0.455937 50/50 NonOverlappingTemplate 4 2 2 5 6 4 6 6 8 7 0.616305 50/50 NonOverlappingTemplate 5 9 3 2 1 5 7 6 5 7 0.289667 50/50 NonOverlappingTemplate 4 6 5 3 4 4 4 7 7 6 0.935716 50/50 NonOverlappingTemplate 4 3 7 5 2 5 6 6 6 6 0.883171 49/50 NonOverlappingTemplate 8 8 5 5 4 3 3 7 3 4 0.616305 48/50 NonOverlappingTemplate 8 8 5 6 7 4 2 6 3 1 0.289667 50/50 NonOverlappingTemplate 10 9 5 5 4 3 3 2 7 2 0.108791 48/50 NonOverlappingTemplate 5 3 6 9 3 5 3 6 6 4 0.699313 50/50 NonOverlappingTemplate 6 5 10 3 5 3 8 7 0 3 0.085587 50/50 NonOverlappingTemplate 10 1 5 8 5 5 5 5 5 1 0.153763 50/50 NonOverlappingTemplate 5 6 6 4 4 6 5 4 5 5 0.998821 49/50 NonOverlappingTemplate 7 2 3 5 5 5 4 7 6 6 0.851383 49/50 NonOverlappingTemplate 5 10 4 3 4 7 4 4 6 3 0.494392 50/50 NonOverlappingTemplate 8 8 6 3 3 2 4 1 8 7 0.153763 50/50 NonOverlappingTemplate 5 4 4 6 4 7 2 3 7 8 0.657933 50/50 NonOverlappingTemplate 7 5 2 3 4 5 9 4 5 6 0.616305 48/50 NonOverlappingTemplate 4 2 2 6 7 11 8 2 4 4 0.066882 49/50 NonOverlappingTemplate 3 3 2 4 9 8 5 9 4 3 0.171867 49/50 NonOverlappingTemplate 4 6 5 6 4 8 4 8 2 3 0.616305 49/50 NonOverlappingTemplate 7 4 4 7 4 6 3 5 5 5 0.955835 49/50 NonOverlappingTemplate 5 5 6 6 7 8 7 3 2 1 0.383827 49/50 NonOverlappingTemplate 7 5 4 3 9 1 8 6 5 2 0.213309 49/50 NonOverlappingTemplate 9 7 4 4 5 4 4 6 3 4 0.739918 48/50 NonOverlappingTemplate 4 3 9 6 5 7 5 3 2 6 0.534146 49/50 NonOverlappingTemplate 4 5 4 2 3 11 9 6 3 3 0.085587 49/50 NonOverlappingTemplate 9 3 9 2 2 1 6 11 3 4 0.007694 50/50 NonOverlappingTemplate 6 6 5 8 6 4 7 3 1 4 0.574903 48/50 NonOverlappingTemplate 3 4 6 10 3 2 8 4 5 5 0.289667 50/50 NonOverlappingTemplate 5 5 2 4 10 5 3 3 6 7 0.383827 50/50 NonOverlappingTemplate 10 5 1 4 9 1 3 5 8 4 0.040108 47/50 NonOverlappingTemplate 4 6 4 3 7 4 7 1 8 6 0.494392 50/50 NonOverlappingTemplate 11 4 6 3 4 4 3 4 7 4 0.289667 48/50 NonOverlappingTemplate 5 5 5 8 2 2 5 7 7 4 0.616305 50/50 NonOverlappingTemplate 9 5 6 4 6 5 6 5 2 2 0.574903 50/50 NonOverlappingTemplate 0 6 8 5 5 4 6 4 7 5 0.494392 50/50 NonOverlappingTemplate 6 4 2 6 3 8 5 4 3 9 0.419021 50/50 NonOverlappingTemplate 3 8 7 3 5 4 8 6 5 1 0.383827 50/50 NonOverlappingTemplate 7 3 4 3 3 5 4 5 9 7 0.574903 49/50 NonOverlappingTemplate 6 6 5 7 5 3 7 4 4 3 0.911413 50/50 NonOverlappingTemplate 5 3 5 2 8 5 3 8 4 7 0.534146 50/50 NonOverlappingTemplate 7 3 5 7 6 6 5 4 3 4 0.911413 47/50 NonOverlappingTemplate 3 7 4 6 3 8 7 1 9 2 0.137282 50/50 NonOverlappingTemplate 2 6 3 6 8 7 4 6 1 7 0.350485 50/50 NonOverlappingTemplate 1 5 3 2 5 4 13 3 8 6 0.010237 50/50 NonOverlappingTemplate 9 6 3 7 5 6 5 2 2 5 0.455937 49/50 NonOverlappingTemplate 7 10 5 9 2 4 2 2 8 1 0.020548 50/50 NonOverlappingTemplate 7 12 4 7 4 1 1 2 8 4 0.008879 50/50 NonOverlappingTemplate 8 7 6 5 2 4 3 5 8 2 0.419021 50/50 NonOverlappingTemplate 3 8 7 4 5 2 6 1 5 9 0.213309 50/50 NonOverlappingTemplate 3 7 4 2 7 7 1 9 6 4 0.213309 50/50 NonOverlappingTemplate 12 3 3 7 4 3 5 4 4 5 0.137282 49/50 NonOverlappingTemplate 2 4 4 5 3 9 9 4 3 7 0.262249 50/50 NonOverlappingTemplate 6 6 2 6 2 7 6 9 3 3 0.350485 50/50 NonOverlappingTemplate 3 3 5 5 4 7 5 7 8 3 0.739918 49/50 NonOverlappingTemplate 9 3 2 7 6 3 5 8 6 1 0.171867 50/50 NonOverlappingTemplate 5 2 6 7 4 5 7 1 5 8 0.455937 50/50 NonOverlappingTemplate 8 5 5 3 3 3 3 3 5 12 0.075719 50/50 NonOverlappingTemplate 8 4 5 9 4 4 3 4 2 7 0.419021 49/50 NonOverlappingTemplate 3 6 7 5 5 5 7 7 3 2 0.739918 50/50 NonOverlappingTemplate 2 4 3 5 10 6 4 3 3 10 0.096578 49/50 NonOverlappingTemplate 5 4 4 6 1 5 7 5 4 9 0.534146 50/50 NonOverlappingTemplate 4 7 2 3 5 4 11 4 5 5 0.262249 50/50 NonOverlappingTemplate 6 5 2 2 3 5 7 4 8 8 0.419021 50/50 NonOverlappingTemplate 8 5 2 10 1 5 3 5 5 6 0.171867 49/50 NonOverlappingTemplate 6 3 8 4 2 5 7 2 8 5 0.419021 50/50 NonOverlappingTemplate 6 12 4 3 5 3 1 11 2 3 0.003201 50/50 NonOverlappingTemplate 3 4 7 9 5 7 5 5 4 1 0.419021 50/50 NonOverlappingTemplate 4 4 6 9 4 5 2 7 3 6 0.574903 48/50 NonOverlappingTemplate 7 4 2 8 3 3 7 6 8 2 0.289667 49/50 NonOverlappingTemplate 3 6 4 4 0 6 5 6 7 9 0.289667 50/50 NonOverlappingTemplate 4 6 6 3 5 4 4 3 8 7 0.816537 49/50 NonOverlappingTemplate 4 7 5 4 5 8 6 3 4 4 0.883171 50/50 NonOverlappingTemplate 6 4 13 2 7 7 1 4 4 2 0.008879 50/50 NonOverlappingTemplate 5 9 4 5 7 2 4 6 1 7 0.319084 49/50 NonOverlappingTemplate 4 5 6 9 5 3 3 1 11 3 0.058984 50/50 NonOverlappingTemplate 8 6 4 5 6 6 5 2 4 4 0.851383 49/50 NonOverlappingTemplate 5 1 3 3 8 5 8 8 3 6 0.262249 50/50 NonOverlappingTemplate 7 5 4 3 4 5 4 5 8 5 0.911413 49/50 NonOverlappingTemplate 2 4 6 5 7 5 4 4 5 8 0.816537 50/50 NonOverlappingTemplate 1 6 3 5 6 5 6 7 6 5 0.779188 50/50 NonOverlappingTemplate 4 7 3 9 8 7 3 4 1 4 0.213309 49/50 NonOverlappingTemplate 5 5 6 8 3 5 3 6 3 6 0.851383 49/50 NonOverlappingTemplate 4 5 4 4 4 3 5 9 7 5 0.779188 50/50 NonOverlappingTemplate 9 6 3 7 3 6 2 6 3 5 0.455937 48/50 NonOverlappingTemplate 6 5 3 5 4 4 7 7 5 4 0.955835 50/50 NonOverlappingTemplate 3 7 4 5 6 5 5 5 5 5 0.991468 50/50 NonOverlappingTemplate 4 6 2 6 3 2 4 7 6 10 0.262249 50/50 NonOverlappingTemplate 7 4 4 9 5 2 6 1 4 8 0.236810 50/50 NonOverlappingTemplate 5 5 10 5 5 3 4 7 2 4 0.455937 49/50 NonOverlappingTemplate 3 2 6 4 10 3 5 6 6 5 0.419021 50/50 NonOverlappingTemplate 2 5 3 11 6 2 5 5 6 5 0.213309 50/50 NonOverlappingTemplate 6 2 7 3 4 4 7 5 9 3 0.455937 50/50 NonOverlappingTemplate 8 5 9 1 5 4 4 3 7 4 0.319084 49/50 NonOverlappingTemplate 7 3 5 8 7 3 6 3 6 2 0.534146 50/50 NonOverlappingTemplate 7 5 3 3 4 4 7 6 8 3 0.699313 50/50 NonOverlappingTemplate 5 2 3 3 8 9 7 4 5 4 0.383827 49/50 NonOverlappingTemplate 9 8 4 5 5 2 6 4 3 4 0.494392 49/50 NonOverlappingTemplate 9 6 5 1 4 7 6 5 2 5 0.383827 50/50 NonOverlappingTemplate 10 1 10 3 7 4 3 3 6 3 0.040108 50/50 NonOverlappingTemplate 7 4 6 3 6 4 5 7 4 4 0.935716 50/50 NonOverlappingTemplate 3 3 6 8 2 4 8 6 8 2 0.262249 49/50 NonOverlappingTemplate 4 7 2 9 0 5 3 5 7 8 0.108791 49/50 NonOverlappingTemplate 2 4 7 2 4 5 7 6 7 6 0.657933 50/50 NonOverlappingTemplate 2 10 1 6 6 9 5 0 8 3 0.011791 50/50 NonOverlappingTemplate 7 5 3 5 6 3 5 5 4 7 0.935716 48/50 NonOverlappingTemplate 6 5 2 8 4 5 4 5 6 5 0.883171 50/50 NonOverlappingTemplate 8 8 5 4 2 1 7 5 3 7 0.262249 49/50 NonOverlappingTemplate 7 2 8 4 6 3 4 3 5 8 0.494392 49/50 NonOverlappingTemplate 8 7 7 5 5 6 1 1 4 6 0.319084 50/50 NonOverlappingTemplate 6 3 8 7 5 5 4 5 1 6 0.616305 50/50 NonOverlappingTemplate 5 7 5 5 8 6 4 3 3 4 0.851383 50/50 NonOverlappingTemplate 3 4 8 4 8 7 3 4 6 3 0.574903 50/50 NonOverlappingTemplate 4 9 5 8 3 2 4 3 6 6 0.419021 50/50 NonOverlappingTemplate 5 2 6 6 1 6 7 6 8 3 0.419021 49/50 NonOverlappingTemplate 3 6 6 9 5 1 6 6 4 4 0.494392 50/50 NonOverlappingTemplate 4 5 3 6 6 4 6 3 4 9 0.739918 50/50 NonOverlappingTemplate 3 7 7 5 0 6 8 3 6 5 0.319084 49/50 NonOverlappingTemplate 3 8 4 3 8 6 4 6 3 5 0.657933 50/50 NonOverlappingTemplate 3 2 6 6 6 3 5 5 6 8 0.739918 49/50 NonOverlappingTemplate 7 6 2 6 2 10 4 6 4 3 0.262249 49/50 NonOverlappingTemplate 6 2 6 4 4 7 4 4 8 5 0.779188 50/50 NonOverlappingTemplate 4 4 5 6 7 5 4 5 5 5 0.996335 50/50 NonOverlappingTemplate 6 5 5 7 3 6 3 4 6 5 0.955835 48/50 NonOverlappingTemplate 8 4 9 3 9 7 3 2 3 2 0.085587 50/50 NonOverlappingTemplate 2 5 7 5 7 6 5 6 1 6 0.616305 49/50 NonOverlappingTemplate 6 6 6 10 5 6 4 3 2 2 0.319084 50/50 NonOverlappingTemplate 4 7 1 6 5 5 7 7 4 4 0.699313 50/50 NonOverlappingTemplate 8 6 2 4 7 6 5 5 2 5 0.657933 50/50 NonOverlappingTemplate 5 5 4 8 6 3 3 4 6 6 0.883171 48/50 NonOverlappingTemplate 3 11 5 4 8 3 6 2 5 3 0.137282 50/50 NonOverlappingTemplate 8 3 3 3 6 4 7 6 7 3 0.616305 50/50 NonOverlappingTemplate 10 2 3 4 4 7 6 2 10 2 0.040108 50/50 NonOverlappingTemplate 7 5 7 6 2 6 6 2 5 4 0.739918 50/50 NonOverlappingTemplate 7 5 4 8 3 2 7 9 5 0 0.108791 49/50 NonOverlappingTemplate 5 4 7 1 1 8 2 9 5 8 0.066882 50/50 NonOverlappingTemplate 8 2 5 4 3 8 5 5 5 5 0.699313 50/50 NonOverlappingTemplate 5 10 5 3 8 4 2 4 2 7 0.191687 50/50 NonOverlappingTemplate 6 4 3 6 4 7 3 7 5 5 0.911413 50/50 NonOverlappingTemplate 6 3 8 4 2 5 7 2 8 5 0.419021 50/50 NonOverlappingTemplate 3 4 4 4 8 5 8 1 9 4 0.236810 50/50 OverlappingTemplate 2 1 6 7 5 5 5 7 4 8 0.455937 50/50 Universal 4 4 5 3 3 9 4 7 7 4 0.616305 49/50 ApproximateEntropy 8 2 3 1 2 2 5 2 2 1 0.004301 26/28 RandomExcursions 5 3 2 4 1 1 4 2 3 3 0.275709 26/28 RandomExcursions 1 4 6 5 4 0 2 3 2 1 0.017912 28/28 RandomExcursions 4 3 3 3 1 3 5 4 1 1 0.213309 28/28 RandomExcursions 3 4 2 2 3 1 3 7 1 2 0.048716 28/28 RandomExcursions 1 3 2 3 3 1 4 4 5 2 0.275709 28/28 RandomExcursions 1 2 4 3 1 3 3 0 5 6 0.025193 28/28 RandomExcursions 3 4 2 2 2 3 4 2 3 3 0.739918 28/28 RandomExcursions 3 6 3 2 1 2 2 3 5 1 0.090936 28/28 RandomExcursionsVariant 3 4 4 2 1 2 3 1 4 4 0.350485 28/28 RandomExcursionsVariant 4 4 2 3 2 0 5 2 4 2 0.162606 28/28 RandomExcursionsVariant 4 1 6 5 1 1 0 3 3 4 0.012650 27/28 RandomExcursionsVariant 4 4 4 4 1 4 3 0 2 2 0.162606 28/28 RandomExcursionsVariant 5 2 7 2 3 2 1 3 1 2 0.025193 28/28 RandomExcursionsVariant 6 1 3 3 3 2 2 4 1 3 0.162606 27/28 RandomExcursionsVariant 3 4 1 2 2 5 4 1 3 3 0.275709 27/28 RandomExcursionsVariant 4 2 0 3 3 3 6 4 1 2 0.066882 27/28 RandomExcursionsVariant 0 7 4 0 5 2 2 4 0 4 0.000648 28/28 RandomExcursionsVariant 3 1 3 1 6 2 4 3 2 3 0.162606 28/28 RandomExcursionsVariant 2 2 4 3 3 2 1 6 1 4 0.122325 28/28 RandomExcursionsVariant 4 1 3 4 3 3 3 3 2 2 0.637119 28/28 RandomExcursionsVariant 4 2 4 2 3 3 3 3 1 3 0.637119 27/28 RandomExcursionsVariant 4 3 3 1 2 4 2 2 3 4 0.534146 27/28 RandomExcursionsVariant 3 3 5 2 1 2 1 6 1 4 0.048716 27/28 RandomExcursionsVariant 5 1 5 3 2 3 0 4 3 2 0.090936 27/28 RandomExcursionsVariant 5 3 3 4 4 2 0 2 3 2 0.213309 27/28 RandomExcursionsVariant 0 6 4 4 4 4 6 9 11 2 0.030806 50/50 Serial 4 5 2 3 8 3 4 8 6 7 0.494392 50/50 Serial 8 5 8 4 4 4 4 5 3 5 0.816537 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 = 26 for a sample size = 28 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -