------------------------------------------------------------------------------ RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE PROPORTION OF PASSING SEQUENCES ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 P-VALUE PROPORTION STATISTICAL TEST ------------------------------------------------------------------------------ 10 4 8 7 12 13 14 10 12 10 0.514124 0.9900 frequency 12 7 8 5 18 10 9 12 10 9 0.262249 0.9900 block-frequency 9 6 5 8 6 9 15 13 17 12 0.090936 0.9900 cumulative-sums 6 7 6 11 10 10 17 10 10 13 0.350485 0.9900 cumulative-sums 11 9 11 7 6 12 14 11 8 11 0.798139 1.0000 runs 10 11 16 12 9 10 8 6 8 10 0.678686 0.9900 longest-run 10 7 10 9 10 10 8 11 12 13 0.971699 1.0000 rank 11 16 10 9 7 10 6 17 7 7 0.162606 0.9900 fft 7 5 11 8 11 10 13 12 14 9 0.637119 1.0000 nonperiodic-templates 9 10 12 6 7 7 10 7 16 16 0.213309 0.9900 nonperiodic-templates 8 11 6 10 15 10 8 14 10 8 0.637119 1.0000 nonperiodic-templates 11 9 5 8 8 15 9 13 13 9 0.534146 0.9900 nonperiodic-templates 5 13 11 12 8 6 11 12 10 12 0.657933 0.9900 nonperiodic-templates 12 6 10 19 6 6 10 9 10 12 0.129620 0.9900 nonperiodic-templates 6 8 8 11 11 9 9 14 13 11 0.798139 1.0000 nonperiodic-templates 11 13 14 8 8 12 7 10 8 9 0.816537 1.0000 nonperiodic-templates 11 11 6 11 12 9 11 13 7 9 0.883171 0.9900 nonperiodic-templates 13 10 9 12 12 14 6 8 6 10 0.637119 0.9600 nonperiodic-templates 8 7 7 15 9 11 10 10 10 13 0.759756 0.9900 nonperiodic-templates 6 20 10 12 6 15 4 12 9 6 0.009535 0.9800 nonperiodic-templates 17 13 9 7 12 12 4 8 9 9 0.224821 1.0000 nonperiodic-templates 14 8 10 10 11 8 10 10 7 12 0.924076 1.0000 nonperiodic-templates 7 7 17 10 11 3 17 8 9 11 0.045675 0.9800 nonperiodic-templates 11 8 9 11 10 14 11 13 4 9 0.637119 0.9900 nonperiodic-templates 20 10 7 8 7 10 9 9 13 7 0.115387 0.9600 nonperiodic-templates 10 10 11 8 12 13 11 7 7 11 0.924076 0.9800 nonperiodic-templates 15 9 10 7 9 5 9 11 15 10 0.455937 0.9700 nonperiodic-templates 8 7 7 7 15 12 12 18 6 8 0.096578 1.0000 nonperiodic-templates 2 12 13 12 15 9 6 11 9 11 0.181557 0.9900 nonperiodic-templates 9 13 8 8 7 12 8 12 9 14 0.779188 1.0000 nonperiodic-templates 9 9 12 12 10 9 8 14 7 10 0.911413 1.0000 nonperiodic-templates 12 10 15 8 7 11 9 15 10 3 0.224821 0.9700 nonperiodic-templates 12 5 16 10 10 10 8 8 8 13 0.474986 0.9900 nonperiodic-templates 12 11 11 9 17 7 13 7 7 6 0.289667 0.9900 nonperiodic-templates 13 13 10 13 7 12 7 8 10 7 0.719747 0.9900 nonperiodic-templates 11 12 14 11 8 6 8 9 12 9 0.816537 1.0000 nonperiodic-templates 15 9 11 7 15 6 6 12 6 13 0.202268 1.0000 nonperiodic-templates 16 8 9 7 5 11 14 10 10 10 0.419021 1.0000 nonperiodic-templates 11 14 10 8 9 7 10 10 8 13 0.883171 0.9900 nonperiodic-templates 11 10 12 10 7 11 7 9 10 13 0.946308 1.0000 nonperiodic-templates 12 7 10 14 16 8 10 7 7 9 0.455937 0.9900 nonperiodic-templates 10 11 12 15 10 11 12 9 4 6 0.455937 1.0000 nonperiodic-templates 8 7 10 9 8 10 14 14 10 10 0.834308 0.9900 nonperiodic-templates 10 11 11 6 19 8 7 13 6 9 0.129620 1.0000 nonperiodic-templates 7 8 15 6 11 6 15 5 14 13 0.102526 1.0000 nonperiodic-templates 16 13 12 4 8 12 10 7 7 11 0.262249 0.9900 nonperiodic-templates 6 10 8 11 18 12 5 6 14 10 0.102526 1.0000 nonperiodic-templates 10 8 10 14 8 8 13 7 12 10 0.834308 0.9700 nonperiodic-templates 7 10 9 9 12 11 11 10 13 8 0.964295 1.0000 nonperiodic-templates 9 13 7 9 9 11 7 16 13 6 0.419021 1.0000 nonperiodic-templates 6 10 7 15 12 9 4 9 14 14 0.191687 0.9900 nonperiodic-templates 13 9 10 9 10 8 12 7 14 8 0.851383 0.9900 nonperiodic-templates 14 12 9 13 7 9 9 7 8 12 0.759756 1.0000 nonperiodic-templates 7 12 9 7 9 9 9 9 10 19 0.289667 0.9700 nonperiodic-templates 9 7 9 13 10 9 11 12 13 7 0.883171 0.9800 nonperiodic-templates 13 6 11 8 8 14 8 11 10 11 0.779188 1.0000 nonperiodic-templates 11 9 15 11 18 8 6 8 9 5 0.115387 0.9900 nonperiodic-templates 14 7 10 11 7 14 6 13 9 9 0.554420 0.9800 nonperiodic-templates 10 7 15 6 8 9 12 13 7 13 0.474986 0.9900 nonperiodic-templates 11 13 11 10 13 13 5 6 5 13 0.319084 0.9800 nonperiodic-templates 7 9 11 11 5 15 13 11 11 7 0.514124 0.9900 nonperiodic-templates 8 10 13 10 8 10 13 15 6 7 0.574903 0.9800 nonperiodic-templates 9 9 10 13 8 9 13 13 8 8 0.897763 0.9800 nonperiodic-templates 14 10 12 8 9 7 7 13 10 10 0.816537 0.9900 nonperiodic-templates 7 14 6 10 11 12 10 13 6 11 0.616305 1.0000 nonperiodic-templates 14 6 10 14 8 7 14 6 11 10 0.401199 0.9700 nonperiodic-templates 11 12 15 6 9 11 11 5 10 10 0.595549 0.9900 nonperiodic-templates 6 12 11 8 6 8 10 17 5 17 0.051942 1.0000 nonperiodic-templates 9 10 10 16 11 6 6 11 11 10 0.616305 0.9800 nonperiodic-templates 11 10 14 10 12 4 13 6 5 15 0.153763 0.9900 nonperiodic-templates 12 14 11 4 9 11 12 6 9 12 0.494392 0.9900 nonperiodic-templates 12 16 11 11 4 8 15 9 6 8 0.171867 1.0000 nonperiodic-templates 7 14 9 16 13 8 6 4 13 10 0.137282 0.9900 nonperiodic-templates 11 5 14 9 5 9 5 16 11 15 0.075719 0.9600 nonperiodic-templates 10 9 11 8 9 6 9 10 13 15 0.759756 0.9900 nonperiodic-templates 9 12 10 8 8 16 13 4 6 14 0.181557 0.9900 nonperiodic-templates 7 8 11 9 6 12 18 11 8 10 0.319084 1.0000 nonperiodic-templates 6 10 12 12 11 8 14 10 9 8 0.834308 1.0000 nonperiodic-templates 14 6 9 7 10 13 5 8 20 8 0.030806 1.0000 nonperiodic-templates 8 10 8 10 6 12 12 11 10 13 0.897763 1.0000 nonperiodic-templates 18 9 7 11 13 10 10 8 7 7 0.304126 0.9600 nonperiodic-templates 7 15 16 10 8 7 14 9 6 8 0.213309 0.9800 nonperiodic-templates 7 5 11 8 11 10 13 12 14 9 0.637119 1.0000 nonperiodic-templates 16 8 8 12 15 6 7 7 10 11 0.289667 0.9800 nonperiodic-templates 7 11 14 12 9 8 11 11 8 9 0.897763 1.0000 nonperiodic-templates 11 9 12 4 9 11 9 14 9 12 0.678686 0.9800 nonperiodic-templates 18 6 9 10 5 9 13 11 10 9 0.224821 0.9900 nonperiodic-templates 16 7 11 7 5 9 7 12 15 11 0.213309 0.9700 nonperiodic-templates 8 11 5 9 10 8 12 16 10 11 0.574903 0.9900 nonperiodic-templates 17 11 4 7 14 8 10 12 6 11 0.137282 0.9900 nonperiodic-templates 15 9 7 17 6 7 8 10 12 9 0.224821 0.9900 nonperiodic-templates 14 14 7 11 10 8 8 11 12 5 0.534146 0.9900 nonperiodic-templates 8 5 9 12 8 13 16 8 8 13 0.350485 1.0000 nonperiodic-templates 15 14 7 7 4 14 7 10 8 14 0.122325 1.0000 nonperiodic-templates 6 9 13 12 10 9 5 12 13 11 0.637119 0.9900 nonperiodic-templates 11 10 7 8 4 12 15 11 9 13 0.437274 0.9900 nonperiodic-templates 9 7 13 9 10 16 6 10 11 9 0.595549 0.9900 nonperiodic-templates 9 7 7 10 13 9 10 7 16 12 0.554420 0.9900 nonperiodic-templates 5 12 8 10 6 11 8 12 12 16 0.366918 1.0000 nonperiodic-templates 15 7 12 8 6 11 8 14 8 11 0.494392 0.9700 nonperiodic-templates 10 9 7 10 9 11 9 11 11 13 0.983453 0.9900 nonperiodic-templates 9 8 7 9 12 12 7 12 11 13 0.867692 1.0000 nonperiodic-templates 6 10 12 11 7 11 6 11 9 17 0.366918 1.0000 nonperiodic-templates 6 13 7 10 5 16 10 10 11 12 0.350485 1.0000 nonperiodic-templates 8 13 9 12 11 14 10 9 9 5 0.719747 0.9800 nonperiodic-templates 13 7 12 14 9 13 4 13 4 11 0.162606 0.9900 nonperiodic-templates 6 13 6 6 15 11 6 14 11 12 0.213309 1.0000 nonperiodic-templates 8 12 16 7 18 6 4 9 12 8 0.037566 1.0000 nonperiodic-templates 7 10 11 9 16 14 7 6 7 13 0.304126 0.9800 nonperiodic-templates 12 12 11 7 9 8 10 17 8 6 0.419021 0.9900 nonperiodic-templates 9 9 16 10 12 11 8 7 9 9 0.759756 0.9800 nonperiodic-templates 8 14 9 12 11 8 8 13 8 9 0.851383 0.9800 nonperiodic-templates 15 7 5 12 8 12 11 11 9 10 0.595549 0.9800 nonperiodic-templates 10 6 6 13 11 10 15 15 5 9 0.224821 0.9900 nonperiodic-templates 10 14 14 9 13 6 11 6 7 10 0.494392 0.9900 nonperiodic-templates 9 9 9 11 9 14 9 13 11 6 0.851383 1.0000 nonperiodic-templates 18 13 8 8 8 7 9 9 7 13 0.249284 1.0000 nonperiodic-templates 7 13 8 8 7 7 12 13 14 11 0.595549 0.9800 nonperiodic-templates 17 13 9 10 7 10 11 7 5 11 0.319084 0.9700 nonperiodic-templates 8 9 12 10 10 10 12 11 14 4 0.678686 0.9800 nonperiodic-templates 5 9 11 13 12 13 12 7 13 5 0.383827 1.0000 nonperiodic-templates 11 8 5 8 8 18 11 11 11 9 0.304126 1.0000 nonperiodic-templates 6 15 11 12 5 6 12 10 10 13 0.350485 0.9900 nonperiodic-templates 11 11 11 14 7 8 9 11 10 8 0.924076 1.0000 nonperiodic-templates 10 9 10 6 15 12 14 6 5 13 0.262249 0.9900 nonperiodic-templates 9 9 10 15 14 5 11 15 5 7 0.171867 1.0000 nonperiodic-templates 11 13 15 9 9 8 9 10 5 11 0.657933 0.9900 nonperiodic-templates 7 11 10 10 11 14 8 9 12 8 0.911413 1.0000 nonperiodic-templates 8 6 13 8 9 9 11 14 12 10 0.779188 0.9900 nonperiodic-templates 13 10 11 7 14 12 7 13 3 10 0.304126 0.9900 nonperiodic-templates 10 5 13 11 8 10 12 7 17 7 0.275709 0.9900 nonperiodic-templates 5 5 8 13 10 9 15 11 13 11 0.350485 1.0000 nonperiodic-templates 13 6 9 10 13 11 13 11 5 9 0.616305 0.9900 nonperiodic-templates 12 4 14 10 10 7 12 6 14 11 0.334538 0.9800 nonperiodic-templates 13 8 8 11 10 15 8 8 13 6 0.574903 1.0000 nonperiodic-templates 6 14 9 7 8 12 10 8 10 16 0.437274 1.0000 nonperiodic-templates 8 8 8 8 12 12 10 17 10 7 0.514124 0.9900 nonperiodic-templates 14 10 12 9 12 9 12 6 5 11 0.616305 0.9800 nonperiodic-templates 9 7 6 12 9 9 13 16 9 10 0.554420 1.0000 nonperiodic-templates 8 12 12 5 12 13 8 13 9 8 0.657933 1.0000 nonperiodic-templates 11 7 13 9 13 9 10 12 10 6 0.834308 1.0000 nonperiodic-templates 11 7 12 10 11 12 7 11 7 12 0.897763 0.9900 nonperiodic-templates 9 10 9 6 11 10 13 11 11 10 0.964295 1.0000 nonperiodic-templates 11 8 11 6 7 14 13 8 8 14 0.534146 0.9900 nonperiodic-templates 13 7 10 10 7 9 13 12 8 11 0.867692 0.9700 nonperiodic-templates 11 8 9 10 14 14 10 5 14 5 0.319084 1.0000 nonperiodic-templates 11 12 6 10 10 11 11 8 8 13 0.911413 0.9800 nonperiodic-templates 14 7 14 6 11 8 10 6 13 11 0.455937 0.9800 nonperiodic-templates 10 10 8 10 15 11 5 10 14 7 0.534146 1.0000 nonperiodic-templates 8 10 9 10 2 16 9 10 11 15 0.153763 0.9900 nonperiodic-templates 8 14 5 11 7 16 12 6 10 11 0.262249 0.9800 nonperiodic-templates 9 10 5 9 17 6 14 6 15 9 0.090936 1.0000 nonperiodic-templates 11 4 11 12 9 13 10 11 11 8 0.759756 0.9600 nonperiodic-templates 13 14 11 11 11 8 9 7 7 9 0.816537 0.9700 nonperiodic-templates 15 8 5 5 12 6 15 12 8 14 0.096578 0.9900 nonperiodic-templates 7 15 16 10 8 7 14 9 6 8 0.213309 0.9800 nonperiodic-templates 12 16 11 2 10 12 11 15 7 4 0.035174 0.9900 overlapping-templates 9 12 11 10 11 9 17 7 4 10 0.334538 1.0000 universal 15 6 7 11 11 15 10 8 8 9 0.474986 1.0000 apen 4 9 9 6 4 4 10 3 6 12 0.086458 0.9851 random-excursions 11 5 3 13 4 8 6 2 7 8 0.026648 0.9851 random-excursions 8 5 6 10 3 6 9 7 9 4 0.452799 1.0000 random-excursions 6 4 8 5 8 6 8 5 9 8 0.819544 0.9851 random-excursions 7 2 6 7 12 8 8 3 10 4 0.086458 1.0000 random-excursions 8 5 5 7 8 7 6 6 8 7 0.970538 1.0000 random-excursions 9 7 7 8 7 4 7 4 8 6 0.848588 0.9851 random-excursions 7 5 4 7 15 4 7 10 4 4 0.021262 1.0000 random-excursions 5 8 5 3 11 1 4 11 9 10 0.018969 1.0000 random-excursions-variant 5 5 7 4 6 7 6 12 3 12 0.095617 1.0000 random-excursions-variant 5 6 5 8 8 9 2 10 5 9 0.337162 1.0000 random-excursions-variant 6 3 5 10 8 8 8 8 5 6 0.619772 0.9851 random-excursions-variant 2 5 3 15 3 10 6 7 7 9 0.004573 0.9851 random-excursions-variant 3 4 5 8 5 9 9 8 8 8 0.517442 0.9851 random-excursions-variant 2 6 13 7 5 11 6 5 6 6 0.078086 1.0000 random-excursions-variant 6 12 6 10 7 6 8 4 3 5 0.222869 1.0000 random-excursions-variant 5 13 9 8 3 7 4 7 5 6 0.155209 1.0000 random-excursions-variant 6 6 9 8 4 6 7 10 3 8 0.551026 1.0000 random-excursions-variant 8 5 7 6 5 11 8 8 4 5 0.585209 0.9851 random-excursions-variant 9 6 4 8 5 7 7 9 5 7 0.819544 0.9851 random-excursions-variant 9 7 3 6 11 9 9 6 3 4 0.186566 0.9701 random-excursions-variant 8 8 10 2 10 5 11 5 7 1 0.033288 0.9851 random-excursions-variant 7 6 13 5 4 5 11 4 6 6 0.116519 0.9851 random-excursions-variant 7 8 8 8 4 4 8 2 10 8 0.337162 0.9851 random-excursions-variant 8 7 4 10 7 8 6 4 10 3 0.364146 0.9851 random-excursions-variant 6 10 7 6 5 12 5 6 6 4 0.364146 0.9851 random-excursions-variant 8 11 11 11 11 13 9 14 10 2 0.366918 0.9700 serial 10 10 10 6 12 12 13 14 7 6 0.595549 0.9800 serial 8 14 11 8 7 8 10 14 11 9 0.779188 1.0000 linear-complexity - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - The minimum pass rate for each statistical test with the exception of the random excursion (variant) test is approximately = 0.960150 for a sample size = 100 binary sequences. The minimum pass rate for the random excursion (variant) test is approximately 0.953533 for a sample size = 67 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - -