------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 10 11 6 2 2 4 3 4 4 4 0.040108 47/50 Frequency 10 2 1 4 4 5 6 4 5 9 0.122325 50/50 BlockFrequency 10 5 10 8 4 2 4 0 4 3 0.017912 48/50 CumulativeSums 7 11 6 5 3 3 3 4 4 4 0.262249 49/50 CumulativeSums 3 6 6 6 6 6 3 4 7 3 0.883171 50/50 Runs 3 1 6 10 6 3 7 6 8 0 0.035174 50/50 LongestRun 9 2 3 5 8 5 3 7 6 2 0.262249 50/50 Rank 5 4 4 4 7 6 4 5 4 7 0.971699 50/50 FFT 11 5 2 5 5 5 5 2 7 3 0.191687 50/50 NonOverlappingTemplate 4 7 4 2 9 5 5 7 4 3 0.534146 48/50 NonOverlappingTemplate 4 6 4 4 5 6 8 4 6 3 0.911413 49/50 NonOverlappingTemplate 8 9 3 2 7 5 6 3 3 4 0.319084 50/50 NonOverlappingTemplate 5 4 7 5 4 6 3 5 5 6 0.983453 50/50 NonOverlappingTemplate 5 5 3 5 5 9 8 4 1 5 0.419021 50/50 NonOverlappingTemplate 7 3 5 5 3 4 4 4 5 10 0.534146 49/50 NonOverlappingTemplate 3 5 7 3 11 4 3 4 7 3 0.191687 50/50 NonOverlappingTemplate 3 5 8 2 5 6 7 7 2 5 0.534146 50/50 NonOverlappingTemplate 7 10 3 4 1 5 6 3 3 8 0.137282 50/50 NonOverlappingTemplate 3 5 7 3 2 6 7 5 5 7 0.739918 50/50 NonOverlappingTemplate 6 4 4 8 3 4 2 8 6 5 0.616305 49/50 NonOverlappingTemplate 5 6 4 4 4 5 4 3 6 9 0.816537 48/50 NonOverlappingTemplate 3 7 7 5 1 6 4 4 6 7 0.616305 50/50 NonOverlappingTemplate 4 8 3 3 7 3 3 6 6 7 0.616305 49/50 NonOverlappingTemplate 9 8 7 4 3 1 3 0 9 6 0.023545 50/50 NonOverlappingTemplate 7 5 2 4 7 4 5 6 6 4 0.883171 50/50 NonOverlappingTemplate 2 6 3 4 5 3 7 6 6 8 0.657933 49/50 NonOverlappingTemplate 6 7 3 4 5 6 7 3 3 6 0.851383 49/50 NonOverlappingTemplate 2 5 8 4 6 6 4 4 8 3 0.616305 49/50 NonOverlappingTemplate 0 5 6 3 9 5 4 6 5 7 0.319084 50/50 NonOverlappingTemplate 5 7 4 2 3 8 3 10 4 4 0.236810 49/50 NonOverlappingTemplate 6 5 7 5 5 7 4 3 4 4 0.955835 50/50 NonOverlappingTemplate 6 5 8 4 4 7 4 4 2 6 0.779188 50/50 NonOverlappingTemplate 8 3 5 4 3 5 7 5 6 4 0.851383 50/50 NonOverlappingTemplate 8 6 7 3 5 3 6 3 1 8 0.319084 49/50 NonOverlappingTemplate 5 3 7 4 6 8 4 3 4 6 0.816537 50/50 NonOverlappingTemplate 7 4 7 6 5 2 3 6 5 5 0.851383 50/50 NonOverlappingTemplate 5 6 4 6 4 4 6 2 6 7 0.911413 50/50 NonOverlappingTemplate 10 5 5 5 2 6 7 3 3 4 0.383827 49/50 NonOverlappingTemplate 5 3 6 1 6 7 4 5 6 7 0.699313 49/50 NonOverlappingTemplate 5 6 5 10 6 1 4 3 8 2 0.153763 49/50 NonOverlappingTemplate 4 8 8 4 4 4 6 2 4 6 0.657933 50/50 NonOverlappingTemplate 4 4 7 2 7 3 3 10 5 5 0.319084 49/50 NonOverlappingTemplate 6 6 3 10 4 3 1 4 7 6 0.236810 49/50 NonOverlappingTemplate 6 1 3 7 8 6 8 5 0 6 0.122325 49/50 NonOverlappingTemplate 7 5 3 6 2 3 5 5 6 8 0.699313 49/50 NonOverlappingTemplate 8 6 4 5 4 1 6 5 5 6 0.739918 49/50 NonOverlappingTemplate 2 4 8 4 3 5 7 7 5 5 0.699313 50/50 NonOverlappingTemplate 2 8 6 4 6 6 2 6 7 3 0.534146 50/50 NonOverlappingTemplate 9 5 7 4 4 4 4 5 4 4 0.816537 49/50 NonOverlappingTemplate 8 6 3 4 3 2 7 2 8 7 0.289667 49/50 NonOverlappingTemplate 4 7 2 7 2 4 5 6 7 6 0.657933 50/50 NonOverlappingTemplate 6 8 2 7 4 4 5 4 4 6 0.779188 50/50 NonOverlappingTemplate 6 6 7 6 2 6 3 5 2 7 0.657933 50/50 NonOverlappingTemplate 7 3 2 10 4 2 6 2 4 10 0.040108 49/50 NonOverlappingTemplate 9 4 5 7 6 6 1 6 4 2 0.350485 50/50 NonOverlappingTemplate 8 1 5 4 3 5 8 4 5 7 0.455937 49/50 NonOverlappingTemplate 5 6 3 7 3 3 3 7 5 8 0.657933 50/50 NonOverlappingTemplate 5 2 5 6 5 6 5 4 7 5 0.955835 50/50 NonOverlappingTemplate 2 4 7 6 2 3 1 9 8 8 0.075719 50/50 NonOverlappingTemplate 7 3 6 6 8 3 4 5 4 4 0.816537 49/50 NonOverlappingTemplate 4 2 6 10 6 1 7 1 3 10 0.015598 50/50 NonOverlappingTemplate 4 4 5 8 5 5 4 8 5 2 0.739918 49/50 NonOverlappingTemplate 7 4 7 4 4 7 2 4 6 5 0.816537 48/50 NonOverlappingTemplate 4 4 11 0 6 5 5 3 6 6 0.122325 50/50 NonOverlappingTemplate 5 4 6 4 4 5 6 5 6 5 0.998821 50/50 NonOverlappingTemplate 5 7 5 4 3 5 8 5 1 7 0.574903 50/50 NonOverlappingTemplate 7 4 4 6 7 5 6 3 5 3 0.911413 48/50 NonOverlappingTemplate 5 3 7 5 6 2 7 6 4 5 0.851383 50/50 NonOverlappingTemplate 4 6 4 4 2 4 5 9 5 7 0.657933 50/50 NonOverlappingTemplate 7 2 8 4 7 3 3 4 5 7 0.534146 50/50 NonOverlappingTemplate 6 3 4 6 5 5 5 4 5 7 0.983453 49/50 NonOverlappingTemplate 0 7 1 5 8 7 6 4 7 5 0.171867 50/50 NonOverlappingTemplate 2 5 7 8 2 5 6 5 8 2 0.350485 49/50 NonOverlappingTemplate 8 4 2 8 4 4 5 8 3 4 0.455937 49/50 NonOverlappingTemplate 5 3 6 7 4 9 6 3 5 2 0.534146 50/50 NonOverlappingTemplate 10 1 5 3 7 9 2 5 5 3 0.075719 49/50 NonOverlappingTemplate 5 1 6 8 8 3 6 3 6 4 0.419021 50/50 NonOverlappingTemplate 3 6 2 4 4 8 7 6 6 4 0.699313 49/50 NonOverlappingTemplate 5 3 10 7 3 2 6 4 6 4 0.350485 49/50 NonOverlappingTemplate 9 4 3 5 10 6 4 3 2 4 0.191687 50/50 NonOverlappingTemplate 6 8 4 5 4 6 6 1 6 4 0.699313 49/50 NonOverlappingTemplate 4 6 2 6 4 6 6 8 4 4 0.816537 49/50 NonOverlappingTemplate 11 5 2 5 5 5 5 2 7 3 0.191687 50/50 NonOverlappingTemplate 7 4 5 3 3 1 8 9 9 1 0.045675 50/50 NonOverlappingTemplate 4 4 7 2 7 4 4 8 6 4 0.699313 49/50 NonOverlappingTemplate 2 7 12 6 4 5 6 3 2 3 0.058984 50/50 NonOverlappingTemplate 2 4 5 3 2 8 8 3 6 9 0.191687 50/50 NonOverlappingTemplate 5 7 5 3 3 10 2 5 9 1 0.075719 50/50 NonOverlappingTemplate 4 3 7 12 5 6 2 7 4 0 0.020548 50/50 NonOverlappingTemplate 6 3 9 7 6 1 4 4 5 5 0.455937 48/50 NonOverlappingTemplate 4 8 3 3 5 6 5 5 1 10 0.213309 49/50 NonOverlappingTemplate 6 4 4 4 4 6 5 2 6 9 0.699313 50/50 NonOverlappingTemplate 7 4 0 4 9 4 5 7 8 2 0.122325 48/50 NonOverlappingTemplate 8 3 4 4 8 5 7 3 6 2 0.494392 48/50 NonOverlappingTemplate 6 2 3 2 4 7 5 9 6 6 0.419021 49/50 NonOverlappingTemplate 6 10 3 5 5 3 6 3 2 7 0.319084 49/50 NonOverlappingTemplate 6 3 7 6 6 4 2 4 4 8 0.699313 50/50 NonOverlappingTemplate 3 4 7 2 5 9 8 5 4 3 0.383827 49/50 NonOverlappingTemplate 9 10 4 3 5 5 4 3 3 4 0.262249 49/50 NonOverlappingTemplate 8 5 8 3 6 3 4 4 7 2 0.494392 46/50 * NonOverlappingTemplate 5 10 2 4 4 4 6 7 4 4 0.455937 50/50 NonOverlappingTemplate 9 1 6 6 5 4 0 5 7 7 0.137282 50/50 NonOverlappingTemplate 7 4 7 6 7 3 3 3 4 6 0.779188 49/50 NonOverlappingTemplate 3 2 4 7 3 6 9 6 4 6 0.494392 49/50 NonOverlappingTemplate 3 5 7 1 10 2 8 6 3 5 0.108791 50/50 NonOverlappingTemplate 8 5 5 5 6 3 4 6 3 5 0.911413 50/50 NonOverlappingTemplate 1 3 5 7 8 5 6 5 3 7 0.494392 50/50 NonOverlappingTemplate 4 7 6 2 3 9 7 4 3 5 0.455937 50/50 NonOverlappingTemplate 8 6 4 3 7 5 4 6 5 2 0.739918 50/50 NonOverlappingTemplate 2 6 8 2 5 4 7 5 7 4 0.574903 50/50 NonOverlappingTemplate 2 5 9 7 3 7 3 1 6 7 0.191687 50/50 NonOverlappingTemplate 5 5 10 4 5 5 5 4 4 3 0.699313 49/50 NonOverlappingTemplate 5 2 8 4 6 5 11 2 2 5 0.096578 49/50 NonOverlappingTemplate 3 5 4 5 7 7 4 2 4 9 0.534146 50/50 NonOverlappingTemplate 3 5 5 6 5 3 6 8 3 6 0.851383 49/50 NonOverlappingTemplate 2 9 8 4 2 5 3 6 7 4 0.289667 50/50 NonOverlappingTemplate 8 4 6 7 1 2 7 5 8 2 0.191687 49/50 NonOverlappingTemplate 8 5 7 6 7 3 1 2 7 4 0.319084 49/50 NonOverlappingTemplate 6 5 7 7 4 3 7 6 2 3 0.699313 50/50 NonOverlappingTemplate 7 2 6 1 5 9 6 4 5 5 0.383827 50/50 NonOverlappingTemplate 5 3 4 3 4 10 7 5 2 7 0.319084 50/50 NonOverlappingTemplate 5 4 2 4 5 5 9 5 4 7 0.699313 50/50 NonOverlappingTemplate 8 5 6 5 2 4 7 5 4 4 0.816537 48/50 NonOverlappingTemplate 7 6 4 3 8 6 6 2 6 2 0.534146 49/50 NonOverlappingTemplate 5 4 2 5 5 5 8 6 4 6 0.883171 48/50 NonOverlappingTemplate 3 3 5 3 6 8 7 6 5 4 0.779188 50/50 NonOverlappingTemplate 9 5 4 5 4 6 5 2 5 5 0.779188 49/50 NonOverlappingTemplate 6 4 6 1 4 4 3 4 9 9 0.236810 50/50 NonOverlappingTemplate 3 5 10 7 4 7 5 4 1 4 0.262249 50/50 NonOverlappingTemplate 5 8 5 6 4 3 4 4 5 6 0.935716 49/50 NonOverlappingTemplate 2 4 4 9 6 5 8 2 6 4 0.383827 50/50 NonOverlappingTemplate 6 2 7 3 5 5 8 7 4 3 0.616305 50/50 NonOverlappingTemplate 3 5 3 7 5 5 7 4 4 7 0.883171 50/50 NonOverlappingTemplate 9 3 2 3 7 6 7 5 3 5 0.419021 48/50 NonOverlappingTemplate 4 5 3 8 8 4 2 4 10 2 0.137282 49/50 NonOverlappingTemplate 7 4 4 2 7 6 5 6 3 6 0.816537 50/50 NonOverlappingTemplate 3 5 6 4 6 4 7 10 2 3 0.350485 49/50 NonOverlappingTemplate 7 7 3 3 2 4 4 9 6 5 0.455937 50/50 NonOverlappingTemplate 5 5 4 5 7 3 8 5 4 4 0.911413 50/50 NonOverlappingTemplate 6 5 9 4 2 3 2 6 4 9 0.236810 50/50 NonOverlappingTemplate 1 5 6 4 7 5 6 6 4 6 0.816537 50/50 NonOverlappingTemplate 6 8 5 4 3 5 2 9 2 6 0.350485 50/50 NonOverlappingTemplate 5 5 1 4 10 7 7 2 3 6 0.171867 50/50 NonOverlappingTemplate 6 1 8 4 5 3 8 5 3 7 0.383827 50/50 NonOverlappingTemplate 9 6 3 4 2 6 7 7 1 5 0.262249 47/50 NonOverlappingTemplate 9 7 3 3 3 4 6 1 4 10 0.085587 50/50 NonOverlappingTemplate 4 7 3 2 2 4 12 5 5 6 0.075719 50/50 NonOverlappingTemplate 3 11 4 4 6 3 7 5 4 3 0.262249 49/50 NonOverlappingTemplate 3 4 6 7 4 7 2 2 8 7 0.419021 50/50 NonOverlappingTemplate 6 5 6 4 5 6 9 6 2 1 0.419021 49/50 NonOverlappingTemplate 8 6 3 6 6 6 6 2 1 6 0.455937 50/50 NonOverlappingTemplate 5 5 5 6 6 3 4 5 6 5 0.996335 50/50 NonOverlappingTemplate 5 8 5 5 5 8 6 0 3 5 0.383827 50/50 NonOverlappingTemplate 7 9 4 3 5 6 5 3 3 5 0.657933 48/50 NonOverlappingTemplate 3 8 5 6 7 5 2 7 3 4 0.616305 50/50 NonOverlappingTemplate 4 6 2 6 4 6 6 8 4 4 0.816537 49/50 NonOverlappingTemplate 6 5 5 8 7 3 5 1 5 5 0.657933 49/50 OverlappingTemplate 4 3 5 4 5 8 5 3 7 6 0.851383 50/50 Universal 6 4 5 8 5 2 5 8 3 4 0.657933 50/50 ApproximateEntropy 5 3 4 3 2 5 0 1 0 2 0.057146 24/25 RandomExcursions 3 2 4 4 4 4 3 0 1 0 0.141256 25/25 RandomExcursions 4 1 4 4 3 0 3 4 2 0 0.141256 25/25 RandomExcursions 1 3 2 4 0 3 2 4 4 2 0.392456 25/25 RandomExcursions 0 3 2 3 5 3 3 3 3 0 0.242986 25/25 RandomExcursions 3 3 4 5 2 0 0 1 3 4 0.105618 25/25 RandomExcursions 1 6 3 2 3 4 2 0 2 2 0.141256 25/25 RandomExcursions 1 2 3 4 2 2 0 4 2 5 0.242986 25/25 RandomExcursions 0 4 5 4 3 2 2 2 1 2 0.242986 25/25 RandomExcursionsVariant 2 4 4 3 3 1 3 2 1 2 0.689019 25/25 RandomExcursionsVariant 4 2 4 4 2 1 0 1 3 4 0.242986 25/25 RandomExcursionsVariant 3 4 1 6 3 2 0 0 3 3 0.057146 25/25 RandomExcursionsVariant 4 2 7 1 2 3 1 1 3 1 0.041438 25/25 RandomExcursionsVariant 6 4 2 1 3 3 2 0 3 1 0.105618 24/25 RandomExcursionsVariant 5 4 2 1 4 1 0 3 2 3 0.186566 25/25 RandomExcursionsVariant 0 4 2 5 2 5 2 3 1 1 0.105618 25/25 RandomExcursionsVariant 0 2 2 4 4 3 2 5 1 2 0.242986 25/25 RandomExcursionsVariant 2 4 6 2 1 4 3 0 2 1 0.078086 25/25 RandomExcursionsVariant 4 2 4 4 3 4 2 1 0 1 0.242986 24/25 RandomExcursionsVariant 4 2 5 2 3 1 1 3 3 1 0.392456 25/25 RandomExcursionsVariant 5 5 3 1 1 0 4 1 1 4 0.041438 25/25 RandomExcursionsVariant 4 5 4 1 2 1 1 3 1 3 0.242986 25/25 RandomExcursionsVariant 3 3 3 2 3 2 2 2 4 1 0.875539 25/25 RandomExcursionsVariant 4 2 2 3 2 3 2 2 2 3 0.941144 25/25 RandomExcursionsVariant 3 3 4 1 2 2 1 4 4 1 0.484646 25/25 RandomExcursionsVariant 4 4 2 3 1 1 4 0 4 2 0.242986 25/25 RandomExcursionsVariant 4 4 4 5 6 4 3 8 7 5 0.883171 50/50 Serial 3 8 4 3 2 4 13 2 4 7 0.011791 50/50 Serial 12 1 2 7 9 3 4 4 6 2 0.008879 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 = 23 for a sample size = 25 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -