------------------------------------------------------------------------------ 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 8 6 5 6 4 4 4 3 5 0.935716 49/50 Frequency 11 3 5 3 7 2 4 6 3 6 0.171867 49/50 BlockFrequency 5 6 2 9 3 6 5 4 5 5 0.699313 49/50 CumulativeSums 6 5 7 6 6 3 4 2 7 4 0.816537 49/50 CumulativeSums 6 4 6 5 3 6 1 9 5 5 0.534146 50/50 Runs 6 3 7 2 7 3 5 3 9 5 0.419021 50/50 LongestRun 3 5 9 7 3 4 5 5 5 4 0.739918 50/50 Rank 6 3 2 6 7 7 7 4 7 1 0.383827 48/50 FFT 4 7 0 7 8 2 2 7 5 8 0.096578 50/50 NonOverlappingTemplate 3 7 5 4 5 5 2 5 8 6 0.779188 50/50 NonOverlappingTemplate 2 7 5 6 6 4 4 7 3 6 0.816537 49/50 NonOverlappingTemplate 3 8 3 5 8 1 3 5 9 5 0.191687 50/50 NonOverlappingTemplate 3 8 7 6 3 4 6 4 3 6 0.739918 50/50 NonOverlappingTemplate 7 6 2 8 5 6 2 4 7 3 0.494392 49/50 NonOverlappingTemplate 3 4 7 7 4 6 4 6 6 3 0.883171 50/50 NonOverlappingTemplate 3 8 4 3 5 7 3 9 4 4 0.455937 50/50 NonOverlappingTemplate 1 6 5 1 9 6 8 7 6 1 0.066882 50/50 NonOverlappingTemplate 6 1 8 0 7 6 5 6 9 2 0.058984 50/50 NonOverlappingTemplate 5 4 7 6 3 3 5 5 7 5 0.935716 49/50 NonOverlappingTemplate 7 3 2 4 6 7 7 2 3 9 0.262249 49/50 NonOverlappingTemplate 7 8 10 2 3 4 3 7 2 4 0.122325 49/50 NonOverlappingTemplate 5 3 6 4 5 5 7 3 7 5 0.935716 49/50 NonOverlappingTemplate 2 3 6 4 2 11 6 6 8 2 0.066882 50/50 NonOverlappingTemplate 3 8 5 7 5 5 4 5 4 4 0.911413 49/50 NonOverlappingTemplate 6 4 6 5 4 4 5 5 9 2 0.739918 48/50 NonOverlappingTemplate 5 2 5 5 6 3 7 5 3 9 0.574903 50/50 NonOverlappingTemplate 4 6 3 6 4 6 6 4 7 4 0.955835 50/50 NonOverlappingTemplate 5 2 2 11 4 2 5 2 11 6 0.008879 49/50 NonOverlappingTemplate 6 3 3 6 6 5 5 6 4 6 0.971699 50/50 NonOverlappingTemplate 6 10 5 8 3 5 4 3 2 4 0.289667 49/50 NonOverlappingTemplate 4 4 8 1 5 4 5 2 7 10 0.153763 50/50 NonOverlappingTemplate 5 8 9 7 1 4 10 1 3 2 0.017912 50/50 NonOverlappingTemplate 2 7 5 1 7 7 9 4 5 3 0.236810 50/50 NonOverlappingTemplate 4 3 5 5 6 7 2 5 8 5 0.779188 49/50 NonOverlappingTemplate 5 4 5 6 3 9 5 4 3 6 0.779188 50/50 NonOverlappingTemplate 3 5 6 6 5 9 5 2 5 4 0.699313 50/50 NonOverlappingTemplate 8 6 4 4 3 4 3 7 6 5 0.816537 49/50 NonOverlappingTemplate 5 4 3 6 8 3 7 2 5 7 0.616305 50/50 NonOverlappingTemplate 2 3 5 3 5 5 5 10 3 9 0.191687 50/50 NonOverlappingTemplate 3 2 11 7 4 7 6 4 1 5 0.085587 50/50 NonOverlappingTemplate 8 4 4 3 7 5 2 5 7 5 0.699313 50/50 NonOverlappingTemplate 12 4 7 3 6 4 3 2 4 5 0.096578 49/50 NonOverlappingTemplate 5 7 3 4 3 10 7 3 5 3 0.350485 50/50 NonOverlappingTemplate 5 3 5 6 6 6 4 5 4 6 0.991468 50/50 NonOverlappingTemplate 6 3 6 2 8 6 6 4 5 4 0.779188 49/50 NonOverlappingTemplate 7 4 6 7 7 3 2 6 6 2 0.574903 50/50 NonOverlappingTemplate 3 2 7 2 8 4 8 6 7 3 0.289667 49/50 NonOverlappingTemplate 7 6 7 3 7 6 6 0 6 2 0.289667 50/50 NonOverlappingTemplate 6 4 6 4 6 5 2 6 6 5 0.955835 50/50 NonOverlappingTemplate 6 2 6 7 4 5 6 6 3 5 0.883171 50/50 NonOverlappingTemplate 9 3 6 5 4 6 5 7 3 2 0.534146 50/50 NonOverlappingTemplate 3 6 7 8 1 9 5 2 3 6 0.171867 49/50 NonOverlappingTemplate 5 5 5 7 5 4 7 5 4 3 0.971699 48/50 NonOverlappingTemplate 5 6 8 5 5 5 6 1 5 4 0.779188 50/50 NonOverlappingTemplate 5 1 5 2 7 10 8 5 5 2 0.108791 49/50 NonOverlappingTemplate 3 5 11 1 5 3 9 5 4 4 0.075719 49/50 NonOverlappingTemplate 6 5 3 4 7 3 8 6 3 5 0.779188 48/50 NonOverlappingTemplate 3 6 4 6 5 5 7 5 2 7 0.851383 50/50 NonOverlappingTemplate 4 5 5 9 4 4 4 6 6 3 0.816537 50/50 NonOverlappingTemplate 7 2 5 5 8 7 4 4 3 5 0.699313 50/50 NonOverlappingTemplate 3 4 4 4 2 4 9 7 9 4 0.289667 50/50 NonOverlappingTemplate 6 3 5 4 3 2 9 6 8 4 0.419021 50/50 NonOverlappingTemplate 2 7 6 6 6 5 6 5 4 3 0.883171 50/50 NonOverlappingTemplate 5 2 7 7 6 5 7 5 3 3 0.739918 50/50 NonOverlappingTemplate 3 4 8 4 3 4 5 8 5 6 0.739918 50/50 NonOverlappingTemplate 7 4 6 9 6 4 2 4 5 3 0.574903 49/50 NonOverlappingTemplate 6 7 6 2 7 4 4 7 4 3 0.739918 49/50 NonOverlappingTemplate 5 3 7 3 6 2 4 7 3 10 0.262249 49/50 NonOverlappingTemplate 2 6 2 6 8 7 5 4 5 5 0.657933 48/50 NonOverlappingTemplate 3 9 2 7 4 4 4 7 6 4 0.494392 50/50 NonOverlappingTemplate 3 7 6 4 4 5 8 3 8 2 0.494392 50/50 NonOverlappingTemplate 6 3 4 3 5 9 5 5 2 8 0.455937 50/50 NonOverlappingTemplate 5 2 8 4 4 7 8 3 5 4 0.574903 50/50 NonOverlappingTemplate 6 7 2 10 5 4 7 4 3 2 0.236810 50/50 NonOverlappingTemplate 4 7 5 5 7 7 6 3 1 5 0.657933 50/50 NonOverlappingTemplate 2 3 9 5 3 3 4 8 7 6 0.319084 50/50 NonOverlappingTemplate 5 6 7 9 3 4 4 3 2 7 0.455937 49/50 NonOverlappingTemplate 7 4 4 6 9 3 3 5 5 4 0.699313 49/50 NonOverlappingTemplate 9 3 4 4 5 5 5 4 6 5 0.851383 50/50 NonOverlappingTemplate 7 5 2 4 3 7 3 8 7 4 0.534146 49/50 NonOverlappingTemplate 2 6 7 10 5 5 2 4 4 5 0.350485 50/50 NonOverlappingTemplate 8 5 8 3 6 6 7 1 2 4 0.289667 48/50 NonOverlappingTemplate 4 7 0 7 8 2 2 7 5 8 0.096578 50/50 NonOverlappingTemplate 7 2 8 3 8 4 5 2 4 7 0.350485 49/50 NonOverlappingTemplate 7 4 5 6 5 6 3 4 5 5 0.983453 50/50 NonOverlappingTemplate 2 2 8 7 5 6 3 3 4 10 0.153763 50/50 NonOverlappingTemplate 6 8 5 4 1 9 3 5 3 6 0.319084 50/50 NonOverlappingTemplate 4 3 5 5 2 4 8 8 6 5 0.657933 49/50 NonOverlappingTemplate 5 1 3 9 4 9 6 6 4 3 0.213309 50/50 NonOverlappingTemplate 6 3 5 3 6 7 6 1 8 5 0.534146 50/50 NonOverlappingTemplate 8 6 4 3 8 4 3 1 8 5 0.289667 50/50 NonOverlappingTemplate 6 3 7 8 7 3 2 7 2 5 0.383827 49/50 NonOverlappingTemplate 3 7 3 7 0 8 5 4 10 3 0.066882 50/50 NonOverlappingTemplate 6 8 3 4 6 7 6 3 4 3 0.739918 49/50 NonOverlappingTemplate 5 5 7 1 11 4 7 3 5 2 0.096578 50/50 NonOverlappingTemplate 8 7 3 6 6 6 4 5 2 3 0.657933 49/50 NonOverlappingTemplate 6 5 5 9 7 1 4 2 6 5 0.383827 50/50 NonOverlappingTemplate 8 5 6 3 6 3 4 4 7 4 0.816537 50/50 NonOverlappingTemplate 6 9 1 10 3 3 6 7 3 2 0.051942 49/50 NonOverlappingTemplate 4 2 6 8 7 7 5 4 6 1 0.419021 50/50 NonOverlappingTemplate 4 2 6 7 6 4 8 4 5 4 0.779188 50/50 NonOverlappingTemplate 7 3 3 8 7 2 1 4 8 7 0.171867 49/50 NonOverlappingTemplate 7 6 6 6 2 7 5 2 3 6 0.657933 50/50 NonOverlappingTemplate 8 6 2 8 5 4 4 7 4 2 0.455937 47/50 NonOverlappingTemplate 3 3 5 3 3 3 6 7 10 7 0.289667 50/50 NonOverlappingTemplate 6 4 0 7 8 5 5 6 7 2 0.289667 50/50 NonOverlappingTemplate 4 4 7 6 6 8 3 5 3 4 0.816537 50/50 NonOverlappingTemplate 6 4 5 6 4 4 3 4 8 6 0.911413 49/50 NonOverlappingTemplate 4 6 3 9 6 3 3 6 7 3 0.534146 50/50 NonOverlappingTemplate 5 7 6 5 6 3 5 7 3 3 0.883171 49/50 NonOverlappingTemplate 8 9 2 0 2 3 8 3 8 7 0.020548 49/50 NonOverlappingTemplate 5 6 5 8 5 4 4 2 6 5 0.883171 50/50 NonOverlappingTemplate 8 4 5 4 7 2 8 4 4 4 0.616305 49/50 NonOverlappingTemplate 8 4 5 1 7 0 7 7 6 5 0.171867 50/50 NonOverlappingTemplate 6 6 5 5 3 7 5 2 6 5 0.911413 49/50 NonOverlappingTemplate 6 6 4 6 7 5 1 4 8 3 0.574903 49/50 NonOverlappingTemplate 4 5 7 5 5 5 6 10 2 1 0.262249 50/50 NonOverlappingTemplate 4 4 8 1 9 6 6 3 4 5 0.350485 50/50 NonOverlappingTemplate 5 4 5 8 5 4 4 7 6 2 0.816537 50/50 NonOverlappingTemplate 4 7 6 5 4 2 6 6 7 3 0.816537 50/50 NonOverlappingTemplate 5 7 7 4 5 2 6 4 9 1 0.319084 50/50 NonOverlappingTemplate 8 6 5 4 3 5 5 8 2 4 0.657933 48/50 NonOverlappingTemplate 7 6 7 2 3 8 4 4 5 4 0.657933 50/50 NonOverlappingTemplate 3 4 5 9 4 3 7 8 2 5 0.383827 50/50 NonOverlappingTemplate 6 5 7 2 10 6 3 0 7 4 0.096578 49/50 NonOverlappingTemplate 6 4 4 3 7 6 2 8 10 0 0.066882 50/50 NonOverlappingTemplate 3 4 3 2 6 5 5 7 2 13 0.023545 50/50 NonOverlappingTemplate 6 6 5 5 2 8 4 8 2 4 0.534146 50/50 NonOverlappingTemplate 9 2 7 5 3 3 8 1 5 7 0.153763 49/50 NonOverlappingTemplate 5 3 7 7 5 6 6 2 7 2 0.616305 50/50 NonOverlappingTemplate 5 4 6 7 3 5 7 6 2 5 0.851383 49/50 NonOverlappingTemplate 3 4 6 4 6 2 5 12 2 6 0.085587 49/50 NonOverlappingTemplate 4 6 5 5 3 2 7 4 5 9 0.616305 48/50 NonOverlappingTemplate 4 3 6 5 6 4 4 4 5 9 0.816537 50/50 NonOverlappingTemplate 7 6 4 2 4 8 4 5 3 7 0.657933 50/50 NonOverlappingTemplate 6 1 8 4 4 5 5 4 4 9 0.419021 49/50 NonOverlappingTemplate 4 5 3 4 5 8 9 5 4 3 0.616305 49/50 NonOverlappingTemplate 7 8 4 7 3 6 3 7 4 1 0.383827 49/50 NonOverlappingTemplate 9 1 3 5 7 6 3 10 1 5 0.045675 49/50 NonOverlappingTemplate 3 3 8 9 9 2 2 4 5 5 0.137282 50/50 NonOverlappingTemplate 4 2 5 3 7 7 6 9 5 2 0.383827 49/50 NonOverlappingTemplate 6 5 5 7 4 2 7 9 1 4 0.319084 49/50 NonOverlappingTemplate 5 4 8 4 2 10 6 6 4 1 0.171867 49/50 NonOverlappingTemplate 2 8 3 6 5 3 4 6 6 7 0.657933 49/50 NonOverlappingTemplate 3 2 4 11 6 4 4 8 2 6 0.108791 50/50 NonOverlappingTemplate 1 8 3 8 5 7 4 6 3 5 0.383827 50/50 NonOverlappingTemplate 6 4 4 6 3 4 7 6 4 6 0.955835 49/50 NonOverlappingTemplate 3 9 5 2 6 8 3 6 4 4 0.419021 50/50 NonOverlappingTemplate 4 5 5 5 2 10 7 4 4 4 0.494392 49/50 NonOverlappingTemplate 6 11 1 3 6 6 8 3 4 2 0.058984 47/50 NonOverlappingTemplate 4 8 3 8 3 5 3 5 5 6 0.699313 49/50 NonOverlappingTemplate 7 6 9 8 6 2 2 4 3 3 0.236810 50/50 NonOverlappingTemplate 6 3 3 10 1 5 3 6 5 8 0.171867 50/50 NonOverlappingTemplate 4 7 4 2 4 6 3 4 9 7 0.494392 50/50 NonOverlappingTemplate 7 5 5 3 4 3 4 5 8 6 0.851383 50/50 NonOverlappingTemplate 8 5 8 3 6 6 7 1 2 4 0.289667 48/50 NonOverlappingTemplate 7 7 2 8 2 6 7 2 5 4 0.350485 49/50 OverlappingTemplate 2 8 6 4 3 4 7 3 8 5 0.494392 50/50 Universal 4 2 5 4 7 6 4 5 6 7 0.883171 50/50 ApproximateEntropy 3 3 4 3 5 6 3 4 2 4 0.772760 36/37 RandomExcursions 3 2 2 3 3 5 3 7 3 6 0.324180 37/37 RandomExcursions 5 1 5 2 5 3 5 3 5 3 0.500934 36/37 RandomExcursions 3 3 5 5 2 3 2 2 7 5 0.324180 37/37 RandomExcursions 4 5 3 5 2 2 6 3 1 6 0.275709 37/37 RandomExcursions 5 1 3 2 5 6 4 2 6 3 0.275709 37/37 RandomExcursions 6 4 6 3 1 1 4 5 6 1 0.090936 36/37 RandomExcursions 6 3 3 4 3 2 1 6 4 5 0.378138 36/37 RandomExcursions 4 5 2 5 5 0 4 3 4 5 0.378138 37/37 RandomExcursionsVariant 4 6 4 3 3 5 5 2 2 3 0.637119 37/37 RandomExcursionsVariant 5 5 3 3 2 4 6 2 4 3 0.637119 37/37 RandomExcursionsVariant 5 4 3 2 3 6 1 6 4 3 0.378138 37/37 RandomExcursionsVariant 5 5 1 3 5 5 5 2 4 2 0.437274 37/37 RandomExcursionsVariant 5 4 3 1 4 5 5 4 3 3 0.706149 37/37 RandomExcursionsVariant 8 1 4 4 3 3 2 4 2 6 0.110952 37/37 RandomExcursionsVariant 6 3 5 1 4 6 3 4 1 4 0.275709 36/37 RandomExcursionsVariant 3 5 7 4 4 4 3 4 2 1 0.378138 37/37 RandomExcursionsVariant 3 7 5 6 3 2 2 2 3 4 0.275709 37/37 RandomExcursionsVariant 8 2 4 4 2 2 6 3 5 1 0.074177 37/37 RandomExcursionsVariant 3 3 7 2 3 3 2 3 8 3 0.110952 37/37 RandomExcursionsVariant 2 2 4 6 7 1 4 4 2 5 0.162606 37/37 RandomExcursionsVariant 4 4 1 4 4 3 4 4 5 4 0.834308 37/37 RandomExcursionsVariant 4 5 3 4 2 1 5 3 5 5 0.568055 37/37 RandomExcursionsVariant 5 6 2 5 3 1 4 4 5 2 0.378138 37/37 RandomExcursionsVariant 4 5 4 4 6 3 2 2 5 2 0.568055 37/37 RandomExcursionsVariant 4 2 2 9 3 4 3 6 2 2 0.048716 37/37 RandomExcursionsVariant 9 4 7 3 2 6 8 2 5 4 0.289667 50/50 Serial 4 5 4 6 6 6 9 4 1 5 0.574903 50/50 Serial 5 7 4 6 3 2 5 4 9 5 0.616305 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 = 34 for a sample size = 37 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -