------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 9 11 8 17 10 8 11 11 9 6 0.554420 100/100 Frequency 12 14 14 9 14 7 7 9 9 5 0.366918 100/100 BlockFrequency 14 6 10 10 12 3 14 5 14 12 0.102526 100/100 CumulativeSums 8 12 4 11 20 9 6 8 8 14 0.028817 100/100 CumulativeSums 6 11 11 14 11 10 12 4 11 10 0.574903 100/100 Runs 13 19 5 5 8 9 15 9 6 11 0.026948 98/100 LongestRun 9 11 9 6 10 11 6 12 14 12 0.739918 98/100 Rank 12 8 12 12 8 11 5 8 12 12 0.759756 98/100 FFT 14 11 8 6 5 9 13 10 11 13 0.514124 98/100 NonOverlappingTemplate 13 7 11 12 9 8 10 12 13 5 0.678686 99/100 NonOverlappingTemplate 7 10 13 10 12 10 12 9 9 8 0.955835 99/100 NonOverlappingTemplate 11 15 7 11 15 7 9 10 8 7 0.494392 99/100 NonOverlappingTemplate 9 13 14 10 11 5 5 9 14 10 0.401199 100/100 NonOverlappingTemplate 9 14 9 13 14 10 10 8 8 5 0.574903 97/100 NonOverlappingTemplate 10 7 7 7 16 7 9 10 13 14 0.366918 99/100 NonOverlappingTemplate 6 11 11 11 13 11 10 9 10 8 0.946308 98/100 NonOverlappingTemplate 8 17 10 16 10 4 8 7 10 10 0.129620 99/100 NonOverlappingTemplate 10 13 10 5 7 10 11 10 12 12 0.816537 100/100 NonOverlappingTemplate 10 11 11 9 10 12 5 10 11 11 0.946308 100/100 NonOverlappingTemplate 6 13 8 13 13 12 13 7 7 8 0.514124 99/100 NonOverlappingTemplate 11 14 11 9 6 9 10 10 8 12 0.883171 100/100 NonOverlappingTemplate 16 5 14 11 7 9 10 9 10 9 0.437274 97/100 NonOverlappingTemplate 7 17 12 13 4 12 8 12 5 10 0.108791 98/100 NonOverlappingTemplate 18 13 8 7 9 6 7 7 13 12 0.145326 99/100 NonOverlappingTemplate 14 14 9 8 6 14 5 9 10 11 0.383827 98/100 NonOverlappingTemplate 7 9 10 8 5 10 14 8 9 20 0.066882 99/100 NonOverlappingTemplate 15 11 13 10 12 5 5 11 10 8 0.401199 100/100 NonOverlappingTemplate 11 11 8 10 11 11 6 13 8 11 0.924076 99/100 NonOverlappingTemplate 11 13 8 10 13 5 13 9 14 4 0.275709 100/100 NonOverlappingTemplate 12 6 9 7 15 13 9 7 11 11 0.574903 100/100 NonOverlappingTemplate 4 5 16 10 6 11 17 8 16 7 0.011791 100/100 NonOverlappingTemplate 9 10 9 10 10 13 10 7 13 9 0.964295 98/100 NonOverlappingTemplate 9 8 14 8 13 9 7 15 8 9 0.595549 99/100 NonOverlappingTemplate 10 11 11 11 10 10 10 8 8 11 0.998821 99/100 NonOverlappingTemplate 7 8 16 6 13 7 10 10 10 13 0.419021 100/100 NonOverlappingTemplate 6 14 14 10 8 13 7 11 9 8 0.574903 100/100 NonOverlappingTemplate 12 7 9 6 13 11 4 12 14 12 0.350485 97/100 NonOverlappingTemplate 11 11 10 8 6 14 16 7 10 7 0.419021 96/100 NonOverlappingTemplate 4 8 10 10 13 12 12 7 14 10 0.514124 100/100 NonOverlappingTemplate 9 11 12 12 11 4 12 10 10 9 0.816537 97/100 NonOverlappingTemplate 11 10 12 12 10 10 10 9 7 9 0.991468 98/100 NonOverlappingTemplate 8 5 10 6 8 10 12 17 13 11 0.262249 97/100 NonOverlappingTemplate 9 15 11 5 9 10 10 12 13 6 0.514124 99/100 NonOverlappingTemplate 10 11 12 9 14 12 11 5 7 9 0.719747 98/100 NonOverlappingTemplate 16 14 7 9 11 8 11 7 11 6 0.401199 99/100 NonOverlappingTemplate 7 6 11 8 14 8 8 12 13 13 0.574903 99/100 NonOverlappingTemplate 13 8 16 6 8 6 11 12 8 12 0.366918 99/100 NonOverlappingTemplate 7 7 11 11 11 13 9 13 9 9 0.897763 99/100 NonOverlappingTemplate 9 9 12 12 5 15 8 11 13 6 0.437274 100/100 NonOverlappingTemplate 3 11 14 9 10 14 12 12 6 9 0.289667 100/100 NonOverlappingTemplate 9 15 12 6 11 7 10 15 6 9 0.366918 99/100 NonOverlappingTemplate 15 9 8 8 5 6 16 11 8 14 0.153763 99/100 NonOverlappingTemplate 6 14 10 14 9 12 10 8 7 10 0.678686 100/100 NonOverlappingTemplate 12 8 7 8 11 10 11 12 9 12 0.955835 98/100 NonOverlappingTemplate 13 10 9 6 12 8 8 10 12 12 0.867692 100/100 NonOverlappingTemplate 7 15 10 12 13 9 10 12 4 8 0.419021 100/100 NonOverlappingTemplate 4 12 17 12 11 7 11 8 9 9 0.275709 99/100 NonOverlappingTemplate 14 11 8 10 8 8 14 9 12 6 0.678686 99/100 NonOverlappingTemplate 7 12 7 11 12 11 8 10 11 11 0.946308 99/100 NonOverlappingTemplate 6 12 12 11 11 13 5 11 11 8 0.678686 100/100 NonOverlappingTemplate 5 17 8 12 8 7 10 11 13 9 0.304126 99/100 NonOverlappingTemplate 9 14 9 4 13 7 8 12 12 12 0.455937 100/100 NonOverlappingTemplate 12 8 9 12 11 3 9 14 9 13 0.437274 98/100 NonOverlappingTemplate 14 14 4 11 5 11 14 8 9 10 0.236810 100/100 NonOverlappingTemplate 8 9 10 10 6 13 14 10 6 14 0.554420 99/100 NonOverlappingTemplate 14 10 13 9 6 13 6 12 8 9 0.574903 97/100 NonOverlappingTemplate 16 16 6 9 6 10 13 6 7 11 0.122325 99/100 NonOverlappingTemplate 9 11 8 11 9 3 6 15 19 9 0.035174 100/100 NonOverlappingTemplate 13 12 4 11 14 13 6 9 11 7 0.334538 96/100 NonOverlappingTemplate 7 12 9 4 10 11 13 7 15 12 0.366918 99/100 NonOverlappingTemplate 8 4 13 9 9 11 12 11 15 8 0.474986 98/100 NonOverlappingTemplate 12 8 8 10 11 8 11 8 10 14 0.924076 100/100 NonOverlappingTemplate 8 11 11 8 7 17 12 9 11 6 0.437274 100/100 NonOverlappingTemplate 9 12 8 8 9 12 10 11 5 16 0.534146 100/100 NonOverlappingTemplate 8 8 15 10 11 11 10 9 10 8 0.911413 99/100 NonOverlappingTemplate 10 7 10 9 10 16 9 12 11 6 0.657933 99/100 NonOverlappingTemplate 7 14 14 10 11 11 9 8 8 8 0.779188 100/100 NonOverlappingTemplate 9 6 17 10 10 12 9 12 8 7 0.455937 100/100 NonOverlappingTemplate 7 10 8 7 7 10 18 9 8 16 0.137282 99/100 NonOverlappingTemplate 8 11 12 8 12 13 9 9 7 11 0.924076 98/100 NonOverlappingTemplate 4 15 8 10 11 9 8 13 5 17 0.080519 99/100 NonOverlappingTemplate 10 14 9 10 13 7 10 7 7 13 0.719747 99/100 NonOverlappingTemplate 14 11 8 6 5 9 13 10 11 13 0.514124 98/100 NonOverlappingTemplate 8 8 7 11 7 12 21 11 6 9 0.048716 100/100 NonOverlappingTemplate 11 13 10 11 9 3 11 12 10 10 0.678686 100/100 NonOverlappingTemplate 12 8 10 9 10 8 9 16 6 12 0.637119 99/100 NonOverlappingTemplate 6 9 8 3 10 9 14 17 17 7 0.021999 100/100 NonOverlappingTemplate 9 9 13 14 17 10 7 8 10 3 0.129620 100/100 NonOverlappingTemplate 14 11 3 7 12 8 11 10 12 12 0.419021 97/100 NonOverlappingTemplate 3 15 11 6 9 10 10 8 17 11 0.102526 100/100 NonOverlappingTemplate 12 13 15 9 7 14 3 10 7 10 0.202268 97/100 NonOverlappingTemplate 6 7 12 11 15 10 12 6 13 8 0.455937 97/100 NonOverlappingTemplate 11 9 7 8 14 9 13 13 9 7 0.739918 99/100 NonOverlappingTemplate 8 14 14 6 10 9 6 14 10 9 0.474986 100/100 NonOverlappingTemplate 10 6 15 6 10 9 13 11 9 11 0.637119 100/100 NonOverlappingTemplate 13 9 6 10 15 7 8 8 15 9 0.401199 98/100 NonOverlappingTemplate 16 10 4 10 8 11 6 12 11 12 0.334538 98/100 NonOverlappingTemplate 6 8 12 7 8 12 13 12 7 15 0.455937 99/100 NonOverlappingTemplate 4 5 8 9 8 15 9 17 18 7 0.009535 100/100 NonOverlappingTemplate 11 11 8 11 6 11 8 11 10 13 0.924076 100/100 NonOverlappingTemplate 10 12 12 8 10 10 9 9 11 9 0.996335 100/100 NonOverlappingTemplate 8 11 11 8 11 13 9 8 6 15 0.678686 100/100 NonOverlappingTemplate 9 16 9 3 4 13 14 10 11 11 0.090936 98/100 NonOverlappingTemplate 8 12 10 9 10 12 11 10 7 11 0.983453 98/100 NonOverlappingTemplate 14 16 4 11 9 10 10 8 7 11 0.319084 97/100 NonOverlappingTemplate 15 11 9 9 7 11 11 9 9 9 0.897763 98/100 NonOverlappingTemplate 10 10 9 10 8 6 13 15 7 12 0.657933 98/100 NonOverlappingTemplate 10 8 10 1 12 14 8 15 11 11 0.137282 99/100 NonOverlappingTemplate 15 9 8 12 7 10 9 3 15 12 0.202268 99/100 NonOverlappingTemplate 6 5 9 13 13 9 14 10 12 9 0.514124 100/100 NonOverlappingTemplate 7 12 10 12 11 15 7 7 10 9 0.719747 100/100 NonOverlappingTemplate 6 9 10 14 7 12 18 11 7 6 0.137282 98/100 NonOverlappingTemplate 14 7 11 8 13 9 9 12 9 8 0.834308 99/100 NonOverlappingTemplate 5 11 5 11 8 13 10 9 18 10 0.162606 98/100 NonOverlappingTemplate 8 7 7 18 11 10 11 8 3 17 0.025193 100/100 NonOverlappingTemplate 5 9 5 15 9 14 10 9 9 15 0.213309 100/100 NonOverlappingTemplate 11 11 9 9 6 7 13 10 10 14 0.798139 100/100 NonOverlappingTemplate 13 10 8 9 13 8 7 10 11 11 0.924076 99/100 NonOverlappingTemplate 11 9 7 8 16 13 7 12 7 10 0.514124 99/100 NonOverlappingTemplate 7 8 10 8 14 12 10 17 8 6 0.304126 99/100 NonOverlappingTemplate 15 11 12 11 9 4 9 11 11 7 0.534146 99/100 NonOverlappingTemplate 5 13 15 3 12 11 8 11 15 7 0.085587 99/100 NonOverlappingTemplate 12 11 9 9 9 10 9 16 7 8 0.759756 98/100 NonOverlappingTemplate 11 9 7 10 9 12 11 8 15 8 0.834308 100/100 NonOverlappingTemplate 11 8 14 10 7 9 10 8 10 13 0.883171 100/100 NonOverlappingTemplate 8 10 13 9 15 10 5 11 8 11 0.637119 99/100 NonOverlappingTemplate 13 15 7 10 6 9 7 8 12 13 0.474986 96/100 NonOverlappingTemplate 7 8 11 15 7 12 10 10 13 7 0.637119 98/100 NonOverlappingTemplate 6 10 11 9 16 14 5 11 7 11 0.304126 100/100 NonOverlappingTemplate 6 15 9 10 5 9 12 10 13 11 0.514124 99/100 NonOverlappingTemplate 12 12 11 7 6 14 7 14 9 8 0.534146 99/100 NonOverlappingTemplate 13 8 11 11 13 10 4 7 9 14 0.474986 98/100 NonOverlappingTemplate 16 10 11 11 13 7 5 12 11 4 0.202268 99/100 NonOverlappingTemplate 11 10 12 11 12 9 12 6 9 8 0.935716 100/100 NonOverlappingTemplate 7 7 12 6 12 11 13 14 9 9 0.637119 99/100 NonOverlappingTemplate 12 8 10 9 6 8 8 14 14 11 0.678686 100/100 NonOverlappingTemplate 14 12 8 15 10 6 9 8 7 11 0.534146 97/100 NonOverlappingTemplate 6 10 10 14 9 12 14 11 7 7 0.616305 100/100 NonOverlappingTemplate 10 12 9 13 8 6 10 14 7 11 0.739918 99/100 NonOverlappingTemplate 14 8 8 6 7 13 14 9 8 13 0.455937 99/100 NonOverlappingTemplate 15 12 14 7 11 6 5 13 11 6 0.202268 100/100 NonOverlappingTemplate 9 5 10 10 11 14 12 8 15 6 0.419021 99/100 NonOverlappingTemplate 10 15 7 11 6 14 14 13 2 8 0.066882 99/100 NonOverlappingTemplate 10 13 9 18 8 8 6 7 9 12 0.262249 96/100 NonOverlappingTemplate 11 13 4 12 8 8 12 11 11 10 0.699313 99/100 NonOverlappingTemplate 11 9 5 12 10 7 13 16 10 7 0.401199 100/100 NonOverlappingTemplate 8 10 13 6 10 12 13 12 10 6 0.719747 100/100 NonOverlappingTemplate 15 10 15 9 7 10 7 8 10 9 0.595549 98/100 NonOverlappingTemplate 12 13 12 6 10 7 11 10 11 8 0.851383 98/100 NonOverlappingTemplate 16 8 9 9 13 8 10 8 6 13 0.494392 98/100 NonOverlappingTemplate 14 12 11 9 10 11 8 4 13 8 0.574903 100/100 NonOverlappingTemplate 7 14 19 8 5 8 7 11 7 14 0.042808 100/100 NonOverlappingTemplate 12 12 6 5 8 10 14 11 15 7 0.319084 99/100 NonOverlappingTemplate 9 7 12 5 14 5 13 9 17 9 0.122325 99/100 NonOverlappingTemplate 3 19 7 12 11 9 12 11 8 8 0.071177 99/100 NonOverlappingTemplate 10 14 9 10 13 7 10 7 7 13 0.719747 99/100 NonOverlappingTemplate 11 11 12 12 19 10 4 5 6 10 0.051942 98/100 OverlappingTemplate 7 9 13 5 8 9 16 9 12 12 0.401199 99/100 Universal 12 7 11 14 6 8 6 12 14 10 0.474986 97/100 ApproximateEntropy 10 12 8 10 9 11 5 8 9 8 0.925420 89/90 RandomExcursions 11 5 10 9 9 9 8 11 5 13 0.694743 88/90 RandomExcursions 8 5 4 12 11 8 9 6 13 14 0.226129 89/90 RandomExcursions 8 6 8 9 8 8 15 15 4 9 0.201069 87/90 RandomExcursions 11 11 9 12 16 3 6 4 9 9 0.087929 88/90 RandomExcursions 10 9 3 15 13 9 8 6 9 8 0.268170 90/90 RandomExcursions 10 7 14 9 10 5 7 10 10 8 0.739918 89/90 RandomExcursions 6 12 9 10 7 15 8 8 8 7 0.602458 89/90 RandomExcursions 13 8 11 9 9 11 7 12 6 4 0.534146 87/90 RandomExcursionsVariant 10 11 11 11 8 12 5 11 5 6 0.579479 87/90 RandomExcursionsVariant 11 13 11 11 7 7 12 5 6 7 0.511916 85/90 * RandomExcursionsVariant 16 8 8 8 11 6 8 9 10 6 0.490050 84/90 * RandomExcursionsVariant 16 6 9 5 7 13 13 5 12 4 0.037841 86/90 RandomExcursionsVariant 17 6 6 9 9 8 5 6 16 8 0.040694 87/90 RandomExcursionsVariant 13 6 6 11 10 8 10 7 11 8 0.783443 87/90 RandomExcursionsVariant 9 8 10 8 4 7 11 13 11 9 0.717488 88/90 RandomExcursionsVariant 8 6 13 7 11 8 12 10 9 6 0.739918 89/90 RandomExcursionsVariant 14 7 9 8 4 12 8 8 7 13 0.387648 90/90 RandomExcursionsVariant 8 11 10 6 8 10 8 10 8 11 0.976060 89/90 RandomExcursionsVariant 10 5 7 14 9 14 7 10 7 7 0.407091 90/90 RandomExcursionsVariant 11 6 9 16 8 5 10 5 7 13 0.167699 90/90 RandomExcursionsVariant 13 11 5 7 10 13 9 6 8 8 0.579479 89/90 RandomExcursionsVariant 17 8 3 12 9 9 6 12 7 7 0.087929 89/90 RandomExcursionsVariant 13 9 9 9 9 7 8 10 6 10 0.938161 87/90 RandomExcursionsVariant 12 11 3 12 5 15 8 6 10 8 0.139036 87/90 RandomExcursionsVariant 13 8 7 8 10 11 4 11 12 6 0.511916 87/90 RandomExcursionsVariant 11 14 16 11 8 14 9 4 5 8 0.122325 99/100 Serial 9 20 19 8 2 8 8 11 6 9 0.001112 100/100 Serial 8 12 8 9 12 13 10 11 9 8 0.955835 100/100 LinearComplexity - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - The minimum pass rate for each statistical test with the exception of the random excursion (variant) test is approximately = 96 for a sample size = 100 binary sequences. The minimum pass rate for the random excursion (variant) test is approximately = 86 for a sample size = 90 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -