------------------------------------------------------------------------------ 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 12 14 10 8 11 7 11 4 16 0.236810 100/100 Frequency 9 12 9 8 12 9 9 11 9 12 0.987896 99/100 BlockFrequency 9 11 11 13 10 8 11 10 4 13 0.719747 99/100 CumulativeSums 8 11 10 11 10 6 12 15 12 5 0.534146 100/100 CumulativeSums 11 12 10 9 9 9 14 11 11 4 0.719747 97/100 Runs 9 15 6 5 13 7 10 16 7 12 0.145326 100/100 LongestRun 10 7 10 9 13 12 13 6 11 9 0.834308 98/100 Rank 7 5 9 8 17 11 8 11 12 12 0.334538 99/100 FFT 5 19 8 10 10 14 6 6 11 11 0.066882 100/100 NonOverlappingTemplate 6 15 14 7 14 11 11 9 4 9 0.202268 100/100 NonOverlappingTemplate 10 11 13 11 7 7 11 12 7 11 0.883171 98/100 NonOverlappingTemplate 10 12 12 13 11 7 10 6 10 9 0.883171 100/100 NonOverlappingTemplate 13 8 10 6 13 9 4 14 8 15 0.213309 97/100 NonOverlappingTemplate 5 16 14 4 11 10 10 9 9 12 0.213309 98/100 NonOverlappingTemplate 8 13 9 8 15 5 10 9 17 6 0.145326 99/100 NonOverlappingTemplate 9 17 12 7 11 9 4 13 9 9 0.262249 99/100 NonOverlappingTemplate 9 9 13 14 10 9 9 6 9 12 0.834308 98/100 NonOverlappingTemplate 8 14 8 6 12 12 12 15 4 9 0.249284 100/100 NonOverlappingTemplate 8 12 9 9 18 9 8 10 12 5 0.289667 98/100 NonOverlappingTemplate 6 10 13 10 10 11 13 8 12 7 0.816537 100/100 NonOverlappingTemplate 11 8 9 7 11 8 8 15 11 12 0.798139 99/100 NonOverlappingTemplate 7 14 8 6 13 12 14 6 11 9 0.419021 100/100 NonOverlappingTemplate 6 12 12 12 9 9 12 7 12 9 0.851383 100/100 NonOverlappingTemplate 14 14 9 11 7 10 13 9 4 9 0.437274 98/100 NonOverlappingTemplate 9 10 10 14 11 8 11 9 12 6 0.883171 100/100 NonOverlappingTemplate 10 10 6 12 7 9 10 13 11 12 0.883171 100/100 NonOverlappingTemplate 9 9 10 14 12 11 8 10 9 8 0.955835 99/100 NonOverlappingTemplate 10 9 7 9 10 8 15 9 12 11 0.867692 100/100 NonOverlappingTemplate 11 8 8 7 7 17 7 13 10 12 0.366918 100/100 NonOverlappingTemplate 10 4 18 12 13 8 6 7 15 7 0.040108 100/100 NonOverlappingTemplate 4 10 13 7 13 8 12 16 9 8 0.262249 100/100 NonOverlappingTemplate 10 11 10 9 15 8 5 7 9 16 0.334538 99/100 NonOverlappingTemplate 7 12 16 6 10 11 7 9 9 13 0.474986 98/100 NonOverlappingTemplate 7 7 18 10 13 15 5 12 7 6 0.048716 100/100 NonOverlappingTemplate 16 7 8 15 8 9 10 9 9 9 0.514124 99/100 NonOverlappingTemplate 13 3 6 13 6 13 12 11 10 13 0.202268 98/100 NonOverlappingTemplate 11 8 13 16 18 4 13 4 7 6 0.008879 100/100 NonOverlappingTemplate 14 6 7 15 14 10 8 10 10 6 0.334538 98/100 NonOverlappingTemplate 4 6 13 15 10 9 9 12 9 13 0.334538 99/100 NonOverlappingTemplate 15 11 9 12 7 8 12 10 6 10 0.699313 100/100 NonOverlappingTemplate 10 10 11 8 9 17 6 13 6 10 0.383827 97/100 NonOverlappingTemplate 10 6 6 9 14 4 13 12 15 11 0.191687 99/100 NonOverlappingTemplate 7 10 11 7 10 13 12 9 10 11 0.946308 99/100 NonOverlappingTemplate 4 10 10 12 10 5 14 14 9 12 0.334538 100/100 NonOverlappingTemplate 9 11 7 9 11 9 10 12 7 15 0.816537 100/100 NonOverlappingTemplate 7 16 10 13 9 12 8 13 6 6 0.319084 99/100 NonOverlappingTemplate 7 8 9 10 12 13 5 10 13 13 0.637119 99/100 NonOverlappingTemplate 5 8 9 11 10 11 14 5 13 14 0.366918 98/100 NonOverlappingTemplate 5 16 9 14 9 11 8 11 9 8 0.437274 100/100 NonOverlappingTemplate 10 9 12 14 4 11 8 11 9 12 0.657933 99/100 NonOverlappingTemplate 11 12 9 9 15 15 6 9 6 8 0.401199 98/100 NonOverlappingTemplate 7 6 11 10 13 8 12 10 13 10 0.816537 100/100 NonOverlappingTemplate 5 12 9 13 14 9 16 7 7 8 0.249284 100/100 NonOverlappingTemplate 11 9 7 12 16 8 12 7 9 9 0.637119 99/100 NonOverlappingTemplate 6 13 11 14 8 15 7 9 8 9 0.474986 99/100 NonOverlappingTemplate 9 10 10 8 10 13 7 11 11 11 0.978072 98/100 NonOverlappingTemplate 9 9 13 10 14 13 12 5 6 9 0.514124 97/100 NonOverlappingTemplate 13 11 11 8 9 8 8 14 8 10 0.883171 98/100 NonOverlappingTemplate 11 11 12 13 10 8 14 7 9 5 0.637119 98/100 NonOverlappingTemplate 10 10 11 8 9 10 3 10 16 13 0.350485 99/100 NonOverlappingTemplate 10 14 8 10 14 16 3 8 6 11 0.115387 99/100 NonOverlappingTemplate 8 9 18 12 8 8 8 9 12 8 0.401199 100/100 NonOverlappingTemplate 5 10 10 7 12 17 7 10 9 13 0.304126 99/100 NonOverlappingTemplate 9 12 9 10 9 10 16 11 6 8 0.699313 100/100 NonOverlappingTemplate 8 10 14 7 7 7 19 10 8 10 0.153763 99/100 NonOverlappingTemplate 5 10 9 9 14 12 10 8 16 7 0.383827 99/100 NonOverlappingTemplate 12 6 10 14 10 7 8 14 10 9 0.678686 99/100 NonOverlappingTemplate 8 13 14 12 12 8 6 13 9 5 0.419021 98/100 NonOverlappingTemplate 10 13 15 5 9 9 8 13 10 8 0.554420 99/100 NonOverlappingTemplate 11 14 9 9 9 7 9 12 10 10 0.946308 100/100 NonOverlappingTemplate 7 5 13 12 14 15 12 6 5 11 0.145326 98/100 NonOverlappingTemplate 15 16 10 8 9 13 8 11 5 5 0.162606 100/100 NonOverlappingTemplate 10 8 11 11 15 12 6 9 10 8 0.779188 97/100 NonOverlappingTemplate 7 10 11 8 15 9 10 13 10 7 0.759756 99/100 NonOverlappingTemplate 8 9 10 9 10 9 13 15 9 8 0.867692 100/100 NonOverlappingTemplate 11 8 9 14 11 9 5 13 13 7 0.574903 99/100 NonOverlappingTemplate 9 6 10 14 10 9 12 13 8 9 0.816537 100/100 NonOverlappingTemplate 9 8 11 8 11 13 11 9 11 9 0.983453 99/100 NonOverlappingTemplate 12 13 10 8 14 9 12 5 10 7 0.616305 100/100 NonOverlappingTemplate 13 12 13 6 9 10 7 12 10 8 0.779188 99/100 NonOverlappingTemplate 11 10 10 9 11 11 14 4 14 6 0.455937 99/100 NonOverlappingTemplate 6 13 10 11 14 10 11 5 10 10 0.657933 100/100 NonOverlappingTemplate 5 19 8 10 9 15 6 6 11 11 0.048716 100/100 NonOverlappingTemplate 6 15 8 10 8 12 5 9 11 16 0.236810 99/100 NonOverlappingTemplate 11 10 9 8 13 14 5 15 5 10 0.304126 100/100 NonOverlappingTemplate 9 9 13 7 9 7 9 16 9 12 0.616305 100/100 NonOverlappingTemplate 11 4 6 16 7 9 13 10 12 12 0.236810 97/100 NonOverlappingTemplate 11 12 6 11 10 9 13 7 10 11 0.897763 99/100 NonOverlappingTemplate 15 5 13 11 8 6 8 12 12 10 0.419021 97/100 NonOverlappingTemplate 8 8 11 11 13 14 13 6 8 8 0.657933 100/100 NonOverlappingTemplate 9 8 12 13 9 17 6 7 9 10 0.401199 99/100 NonOverlappingTemplate 9 12 7 11 4 10 7 7 19 14 0.055361 99/100 NonOverlappingTemplate 8 11 9 10 8 11 10 11 9 13 0.987896 99/100 NonOverlappingTemplate 15 11 10 11 5 9 8 11 8 12 0.678686 98/100 NonOverlappingTemplate 13 10 17 10 9 9 6 8 6 12 0.350485 99/100 NonOverlappingTemplate 10 12 9 11 5 14 10 10 7 12 0.739918 100/100 NonOverlappingTemplate 12 8 10 15 13 10 4 6 12 10 0.366918 100/100 NonOverlappingTemplate 7 8 15 7 20 5 10 10 6 12 0.023545 99/100 NonOverlappingTemplate 13 9 14 9 7 14 9 5 8 12 0.474986 98/100 NonOverlappingTemplate 8 14 7 11 14 8 18 7 4 9 0.066882 98/100 NonOverlappingTemplate 8 9 16 11 10 7 10 9 9 11 0.798139 98/100 NonOverlappingTemplate 9 10 9 10 13 11 5 8 15 10 0.678686 98/100 NonOverlappingTemplate 6 14 19 6 11 8 7 11 9 9 0.102526 100/100 NonOverlappingTemplate 10 9 9 12 13 13 9 10 10 5 0.834308 99/100 NonOverlappingTemplate 9 14 15 11 8 12 8 6 6 11 0.455937 99/100 NonOverlappingTemplate 9 10 14 8 3 9 13 12 14 8 0.319084 98/100 NonOverlappingTemplate 11 8 9 9 11 7 15 10 7 13 0.739918 99/100 NonOverlappingTemplate 11 6 12 11 15 8 9 9 10 9 0.798139 98/100 NonOverlappingTemplate 11 5 8 14 8 15 12 7 9 11 0.437274 98/100 NonOverlappingTemplate 4 9 11 14 13 6 15 9 8 11 0.275709 99/100 NonOverlappingTemplate 8 8 10 10 16 7 13 4 11 13 0.289667 97/100 NonOverlappingTemplate 15 7 8 11 6 11 10 13 6 13 0.437274 98/100 NonOverlappingTemplate 11 7 9 9 9 9 11 10 14 11 0.955835 100/100 NonOverlappingTemplate 12 11 12 9 8 9 10 13 7 9 0.946308 99/100 NonOverlappingTemplate 16 19 3 10 9 10 4 10 10 9 0.015598 96/100 NonOverlappingTemplate 9 15 10 16 8 9 7 11 10 5 0.334538 98/100 NonOverlappingTemplate 6 15 11 8 3 16 10 9 11 11 0.145326 100/100 NonOverlappingTemplate 10 13 13 4 4 18 8 9 12 9 0.058984 99/100 NonOverlappingTemplate 14 12 8 11 5 13 7 5 18 7 0.055361 98/100 NonOverlappingTemplate 10 11 10 14 7 9 10 12 6 11 0.851383 99/100 NonOverlappingTemplate 10 11 11 10 9 9 8 12 11 9 0.997823 100/100 NonOverlappingTemplate 7 15 9 12 9 16 8 6 9 9 0.366918 99/100 NonOverlappingTemplate 14 6 13 5 15 7 7 13 11 9 0.213309 98/100 NonOverlappingTemplate 10 12 3 15 17 12 8 8 6 9 0.075719 99/100 NonOverlappingTemplate 16 9 10 9 7 10 10 7 12 10 0.739918 97/100 NonOverlappingTemplate 8 7 11 17 12 5 5 17 11 7 0.040108 99/100 NonOverlappingTemplate 10 14 13 10 8 9 7 10 11 8 0.883171 100/100 NonOverlappingTemplate 8 13 8 11 8 12 7 9 12 12 0.883171 100/100 NonOverlappingTemplate 11 5 14 8 9 17 9 8 7 12 0.249284 99/100 NonOverlappingTemplate 14 17 4 18 7 6 7 11 6 10 0.010237 97/100 NonOverlappingTemplate 14 5 10 6 12 14 13 12 9 5 0.236810 98/100 NonOverlappingTemplate 7 15 14 7 7 11 10 11 10 8 0.595549 100/100 NonOverlappingTemplate 7 10 10 11 9 9 13 10 10 11 0.987896 100/100 NonOverlappingTemplate 12 6 13 12 13 10 8 9 8 9 0.816537 97/100 NonOverlappingTemplate 9 6 15 11 12 9 10 8 10 10 0.816537 99/100 NonOverlappingTemplate 11 5 12 10 5 8 12 14 13 10 0.455937 100/100 NonOverlappingTemplate 8 13 9 11 11 7 5 9 14 13 0.574903 100/100 NonOverlappingTemplate 13 9 14 12 8 13 12 4 8 7 0.383827 100/100 NonOverlappingTemplate 11 10 16 9 4 7 13 11 17 2 0.014550 100/100 NonOverlappingTemplate 8 6 12 10 15 17 6 8 8 10 0.202268 100/100 NonOverlappingTemplate 9 11 14 11 8 4 13 12 10 8 0.574903 100/100 NonOverlappingTemplate 13 10 9 10 7 10 10 12 12 7 0.935716 98/100 NonOverlappingTemplate 7 9 13 9 9 4 9 8 15 17 0.137282 100/100 NonOverlappingTemplate 12 6 9 7 8 10 7 16 16 9 0.236810 99/100 NonOverlappingTemplate 13 11 7 11 13 16 8 7 6 8 0.366918 100/100 NonOverlappingTemplate 14 8 12 10 8 10 9 10 13 6 0.798139 99/100 NonOverlappingTemplate 11 9 12 10 9 11 9 9 8 12 0.994250 99/100 NonOverlappingTemplate 9 12 11 14 11 11 7 7 11 7 0.816537 99/100 NonOverlappingTemplate 5 11 5 17 7 12 8 12 11 12 0.181557 99/100 NonOverlappingTemplate 12 7 12 10 12 9 9 7 14 8 0.816537 100/100 NonOverlappingTemplate 3 10 14 9 13 12 10 9 12 8 0.455937 100/100 NonOverlappingTemplate 7 12 9 9 9 10 12 16 6 10 0.616305 100/100 NonOverlappingTemplate 8 10 13 13 8 9 8 12 12 7 0.851383 100/100 NonOverlappingTemplate 10 6 13 9 8 11 12 10 9 12 0.911413 99/100 NonOverlappingTemplate 6 7 14 9 12 16 8 8 15 5 0.122325 100/100 NonOverlappingTemplate 6 13 10 11 14 10 11 5 10 10 0.657933 100/100 NonOverlappingTemplate 8 14 13 10 12 8 10 7 13 5 0.534146 98/100 OverlappingTemplate 16 14 13 11 9 7 11 4 7 8 0.202268 100/100 Universal 10 8 12 11 8 5 10 10 12 14 0.759756 99/100 ApproximateEntropy 5 4 7 6 5 11 1 8 11 5 0.105618 63/63 RandomExcursions 10 5 11 5 5 7 7 5 1 7 0.204076 61/63 RandomExcursions 5 4 13 9 5 1 3 1 8 14 0.000213 61/63 RandomExcursions 7 6 8 6 2 2 6 8 11 7 0.264458 61/63 RandomExcursions 8 4 7 3 7 6 8 8 5 7 0.848588 63/63 RandomExcursions 8 7 9 8 7 9 4 3 5 3 0.484646 63/63 RandomExcursions 9 7 4 5 12 9 4 4 5 4 0.204076 63/63 RandomExcursions 9 9 10 3 6 4 4 6 6 6 0.484646 62/63 RandomExcursions 8 10 6 3 3 6 10 3 6 8 0.264458 62/63 RandomExcursionsVariant 8 9 6 8 5 5 5 6 7 4 0.900104 62/63 RandomExcursionsVariant 8 9 10 3 5 6 3 5 8 6 0.452799 61/63 RandomExcursionsVariant 6 6 11 9 4 3 4 5 10 5 0.242986 62/63 RandomExcursionsVariant 5 6 10 7 4 6 9 5 6 5 0.788728 62/63 RandomExcursionsVariant 4 7 9 6 9 7 9 3 2 7 0.364146 62/63 RandomExcursionsVariant 7 1 8 8 14 6 6 2 5 6 0.023812 61/63 RandomExcursionsVariant 4 5 9 9 3 5 5 12 4 7 0.186566 62/63 RandomExcursionsVariant 9 6 4 8 4 1 8 10 7 6 0.264458 61/63 RandomExcursionsVariant 3 9 5 4 5 14 4 7 5 7 0.070445 63/63 RandomExcursionsVariant 3 5 10 5 6 13 6 7 1 7 0.046169 63/63 RandomExcursionsVariant 2 7 7 8 10 8 8 7 4 2 0.264458 63/63 RandomExcursionsVariant 5 5 2 8 8 11 8 7 4 5 0.337162 63/63 RandomExcursionsVariant 6 2 5 7 8 8 9 4 7 7 0.654467 63/63 RandomExcursionsVariant 3 5 5 9 4 11 8 6 6 6 0.452799 63/63 RandomExcursionsVariant 4 7 5 3 5 6 10 4 14 5 0.051391 63/63 RandomExcursionsVariant 2 8 6 6 2 10 7 6 10 6 0.242986 63/63 RandomExcursionsVariant 4 5 10 3 9 11 4 3 7 7 0.155209 63/63 RandomExcursionsVariant 11 8 10 10 7 9 9 13 8 15 0.798139 98/100 Serial 10 10 4 15 11 8 12 9 7 14 0.383827 99/100 Serial 7 15 4 9 6 14 6 13 14 12 0.096578 98/100 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 = 60 for a sample size = 63 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -