------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 15 7 13 11 11 13 10 7 8 5 0.419021 0.9900 frequency 10 12 16 7 10 10 6 11 11 7 0.574903 0.9900 block-frequency 14 12 6 11 15 8 11 7 12 4 0.236810 0.9900 cumulative-sums 11 11 9 11 8 13 12 10 6 9 0.924076 0.9800 cumulative-sums 5 8 10 9 15 11 7 8 7 20 0.037566 1.0000 runs 10 11 10 12 10 5 17 7 8 10 0.419021 0.9900 longest-run 12 11 14 7 8 9 8 10 10 11 0.911413 0.9900 rank 16 8 14 11 9 9 12 8 6 7 0.419021 0.9900 fft 13 16 11 5 9 9 10 5 9 13 0.289667 0.9900 nonperiodic-templates 11 14 10 13 9 8 12 7 5 11 0.637119 0.9900 nonperiodic-templates 12 6 5 7 10 9 13 9 18 11 0.162606 0.9800 nonperiodic-templates 10 11 16 9 10 7 10 8 12 7 0.699313 0.9800 nonperiodic-templates 13 6 14 8 13 11 9 10 9 7 0.678686 1.0000 nonperiodic-templates 11 7 7 11 9 15 16 11 6 7 0.289667 1.0000 nonperiodic-templates 11 11 6 8 12 10 12 11 13 6 0.779188 1.0000 nonperiodic-templates 13 10 9 11 13 8 11 12 6 7 0.798139 0.9800 nonperiodic-templates 8 10 8 14 14 10 5 7 9 15 0.350485 1.0000 nonperiodic-templates 10 11 11 9 8 9 14 12 7 9 0.924076 0.9800 nonperiodic-templates 7 7 12 7 12 9 15 14 8 9 0.514124 1.0000 nonperiodic-templates 8 11 3 8 10 12 10 14 15 9 0.319084 1.0000 nonperiodic-templates 8 12 6 9 6 15 9 11 11 13 0.554420 0.9900 nonperiodic-templates 10 9 12 10 12 9 6 9 14 9 0.883171 1.0000 nonperiodic-templates 8 15 8 13 12 4 8 9 12 11 0.419021 1.0000 nonperiodic-templates 14 8 10 15 8 7 7 13 8 10 0.534146 0.9900 nonperiodic-templates 10 7 8 14 12 14 10 6 8 11 0.637119 0.9900 nonperiodic-templates 12 6 10 13 9 9 12 6 11 12 0.779188 0.9900 nonperiodic-templates 9 6 9 16 7 8 11 4 14 16 0.075719 0.9800 nonperiodic-templates 11 6 12 6 14 5 11 15 11 9 0.304126 0.9700 nonperiodic-templates 9 6 7 16 8 15 9 13 5 12 0.162606 0.9700 nonperiodic-templates 11 10 11 5 11 8 14 9 10 11 0.834308 1.0000 nonperiodic-templates 9 10 14 13 8 14 7 10 8 7 0.657933 0.9900 nonperiodic-templates 10 19 14 14 6 8 10 2 5 12 0.007160 0.9900 nonperiodic-templates 6 13 16 13 9 10 6 10 6 11 0.319084 0.9900 nonperiodic-templates 10 9 14 6 8 10 12 14 12 5 0.474986 0.9900 nonperiodic-templates 16 9 7 7 15 9 12 6 6 13 0.181557 0.9800 nonperiodic-templates 12 17 6 16 3 10 12 13 7 4 0.011791 0.9900 nonperiodic-templates 10 12 11 10 11 8 8 8 11 11 0.991468 0.9800 nonperiodic-templates 8 10 7 14 16 11 13 8 6 7 0.319084 1.0000 nonperiodic-templates 9 10 17 11 5 10 12 8 11 7 0.401199 1.0000 nonperiodic-templates 6 13 12 13 5 16 14 7 7 7 0.115387 0.9900 nonperiodic-templates 8 15 8 8 11 9 13 8 12 8 0.739918 1.0000 nonperiodic-templates 7 9 10 10 11 13 12 5 8 15 0.554420 1.0000 nonperiodic-templates 10 7 16 8 11 10 10 12 3 13 0.262249 1.0000 nonperiodic-templates 9 10 11 11 8 10 9 9 17 6 0.595549 0.9900 nonperiodic-templates 9 10 13 8 10 14 5 9 12 10 0.739918 1.0000 nonperiodic-templates 11 10 10 12 8 5 11 5 12 16 0.350485 1.0000 nonperiodic-templates 11 13 10 6 12 8 13 12 11 4 0.494392 0.9900 nonperiodic-templates 12 9 13 9 10 9 7 4 13 14 0.474986 1.0000 nonperiodic-templates 6 6 13 12 9 12 6 15 10 11 0.419021 0.9800 nonperiodic-templates 7 15 8 8 10 6 11 11 16 8 0.350485 0.9900 nonperiodic-templates 7 8 14 12 11 7 9 16 11 5 0.304126 1.0000 nonperiodic-templates 14 9 12 9 7 8 13 6 13 9 0.637119 0.9900 nonperiodic-templates 6 14 8 9 8 9 12 10 11 13 0.779188 1.0000 nonperiodic-templates 14 14 13 5 6 8 14 8 11 7 0.236810 1.0000 nonperiodic-templates 10 12 10 6 12 9 11 9 6 15 0.657933 0.9900 nonperiodic-templates 7 7 9 5 12 10 14 15 6 15 0.162606 0.9900 nonperiodic-templates 13 12 9 11 11 9 7 8 14 6 0.719747 0.9900 nonperiodic-templates 12 11 15 8 10 8 6 8 14 8 0.554420 1.0000 nonperiodic-templates 9 7 7 13 16 9 7 9 10 13 0.494392 0.9900 nonperiodic-templates 14 6 12 10 4 6 8 14 12 14 0.171867 0.9900 nonperiodic-templates 12 12 11 7 8 12 8 11 12 7 0.883171 0.9800 nonperiodic-templates 13 11 9 13 6 13 10 6 4 15 0.202268 0.9700 nonperiodic-templates 9 13 4 11 9 7 17 8 10 12 0.249284 1.0000 nonperiodic-templates 10 8 9 12 11 14 5 11 11 9 0.798139 0.9900 nonperiodic-templates 11 9 14 7 9 14 15 5 11 5 0.213309 0.9800 nonperiodic-templates 13 7 11 9 12 10 5 13 13 7 0.574903 0.9800 nonperiodic-templates 11 8 6 11 9 11 9 15 14 6 0.514124 0.9900 nonperiodic-templates 10 11 9 14 7 10 5 11 11 12 0.759756 0.9900 nonperiodic-templates 10 5 11 8 11 11 11 7 9 17 0.419021 0.9900 nonperiodic-templates 7 8 9 10 10 11 9 13 4 19 0.115387 1.0000 nonperiodic-templates 4 13 11 14 9 12 7 12 7 11 0.437274 1.0000 nonperiodic-templates 14 11 8 9 10 8 9 10 9 12 0.955835 1.0000 nonperiodic-templates 12 20 11 10 8 7 9 7 7 9 0.129620 0.9900 nonperiodic-templates 8 14 11 9 11 8 10 11 8 10 0.955835 1.0000 nonperiodic-templates 6 12 11 10 10 12 12 9 9 9 0.955835 1.0000 nonperiodic-templates 13 14 10 11 10 11 10 7 4 10 0.616305 1.0000 nonperiodic-templates 13 10 9 14 8 7 9 10 11 9 0.897763 0.9900 nonperiodic-templates 17 8 4 14 9 6 13 6 11 12 0.085587 0.9900 nonperiodic-templates 7 11 16 4 15 7 11 9 12 8 0.181557 1.0000 nonperiodic-templates 10 8 5 16 11 8 12 6 14 10 0.304126 0.9900 nonperiodic-templates 9 8 6 13 6 9 11 6 9 23 0.005358 1.0000 nonperiodic-templates 4 7 12 8 7 14 14 11 12 11 0.350485 1.0000 nonperiodic-templates 13 16 11 5 9 9 10 5 9 13 0.289667 0.9900 nonperiodic-templates 15 8 9 8 8 9 6 15 12 10 0.494392 0.9900 nonperiodic-templates 5 9 15 10 9 13 6 11 11 11 0.534146 1.0000 nonperiodic-templates 8 16 14 8 4 10 5 7 13 15 0.058984 0.9900 nonperiodic-templates 15 18 6 7 9 7 7 8 14 9 0.080519 0.9900 nonperiodic-templates 7 13 6 4 11 9 20 8 14 8 0.020548 1.0000 nonperiodic-templates 9 9 10 8 16 11 8 9 9 11 0.834308 0.9800 nonperiodic-templates 10 9 14 7 5 12 11 9 10 13 0.678686 0.9800 nonperiodic-templates 9 14 8 11 9 10 12 13 7 7 0.798139 1.0000 nonperiodic-templates 9 9 9 10 8 14 9 10 10 12 0.971699 1.0000 nonperiodic-templates 10 10 10 9 9 9 15 10 10 8 0.955835 0.9800 nonperiodic-templates 13 10 5 8 8 10 11 16 12 7 0.419021 0.9800 nonperiodic-templates 8 8 12 14 6 12 13 7 7 13 0.494392 1.0000 nonperiodic-templates 12 10 9 14 8 8 8 6 15 10 0.595549 0.9900 nonperiodic-templates 11 9 12 13 9 14 9 5 7 11 0.657933 0.9900 nonperiodic-templates 5 11 16 9 19 16 7 8 5 4 0.002559 1.0000 nonperiodic-templates 9 13 7 11 10 15 8 7 10 10 0.759756 0.9900 nonperiodic-templates 14 5 11 8 17 12 7 12 9 5 0.129620 0.9900 nonperiodic-templates 9 12 10 10 10 11 9 13 9 7 0.978072 0.9900 nonperiodic-templates 10 7 11 9 10 18 8 9 6 12 0.350485 0.9900 nonperiodic-templates 12 8 7 8 10 13 11 11 9 11 0.946308 0.9800 nonperiodic-templates 14 13 10 4 5 12 12 7 11 12 0.289667 1.0000 nonperiodic-templates 10 12 11 9 12 13 6 12 9 6 0.779188 0.9900 nonperiodic-templates 6 7 10 10 13 11 8 14 14 7 0.534146 1.0000 nonperiodic-templates 14 9 8 6 9 12 10 14 8 10 0.719747 0.9900 nonperiodic-templates 12 7 8 10 10 8 6 13 15 11 0.616305 0.9900 nonperiodic-templates 10 7 7 17 7 8 9 11 10 14 0.366918 0.9800 nonperiodic-templates 10 13 13 7 12 9 10 7 9 10 0.897763 1.0000 nonperiodic-templates 6 9 10 4 10 13 10 12 14 12 0.474986 0.9900 nonperiodic-templates 8 11 11 13 8 14 5 9 9 12 0.678686 0.9900 nonperiodic-templates 15 11 8 17 10 10 9 9 5 6 0.202268 0.9900 nonperiodic-templates 10 10 7 10 4 8 15 10 19 7 0.058984 0.9900 nonperiodic-templates 12 9 11 8 12 4 12 5 14 13 0.319084 0.9700 nonperiodic-templates 6 11 17 4 15 9 6 12 12 8 0.075719 0.9800 nonperiodic-templates 14 11 15 10 7 9 7 11 9 7 0.616305 0.9900 nonperiodic-templates 10 10 8 16 9 8 9 7 17 6 0.213309 0.9800 nonperiodic-templates 8 10 8 8 8 17 10 13 7 11 0.494392 0.9800 nonperiodic-templates 14 10 7 13 8 11 13 7 7 10 0.678686 0.9900 nonperiodic-templates 12 12 7 9 9 9 9 15 8 10 0.834308 0.9900 nonperiodic-templates 14 9 10 8 8 10 10 11 9 11 0.971699 0.9900 nonperiodic-templates 7 11 6 10 14 9 13 9 11 10 0.798139 1.0000 nonperiodic-templates 14 12 4 10 8 18 7 12 10 5 0.062821 0.9800 nonperiodic-templates 11 12 12 7 10 7 14 5 10 12 0.616305 1.0000 nonperiodic-templates 10 10 9 7 8 10 14 9 18 5 0.213309 0.9900 nonperiodic-templates 12 10 5 8 8 11 16 16 9 5 0.137282 0.9700 nonperiodic-templates 13 9 10 10 12 8 6 9 13 10 0.883171 0.9900 nonperiodic-templates 10 6 14 7 9 7 15 13 7 12 0.366918 0.9800 nonperiodic-templates 8 8 13 13 8 8 11 4 14 13 0.383827 0.9800 nonperiodic-templates 7 12 11 6 11 8 6 13 18 8 0.171867 1.0000 nonperiodic-templates 10 10 13 11 6 9 9 14 8 10 0.851383 1.0000 nonperiodic-templates 6 5 13 9 14 11 15 13 9 5 0.171867 0.9900 nonperiodic-templates 11 11 10 4 9 15 5 12 8 15 0.202268 1.0000 nonperiodic-templates 9 9 8 9 10 8 13 13 8 13 0.897763 0.9800 nonperiodic-templates 13 8 12 10 6 8 7 11 15 10 0.616305 0.9900 nonperiodic-templates 10 11 7 15 8 10 6 10 11 12 0.739918 0.9900 nonperiodic-templates 5 12 7 12 8 9 7 9 18 13 0.162606 1.0000 nonperiodic-templates 11 9 9 9 14 10 13 9 8 8 0.924076 0.9900 nonperiodic-templates 14 13 8 9 9 9 7 13 9 9 0.816537 0.9700 nonperiodic-templates 12 16 12 10 10 6 7 10 11 6 0.474986 0.9800 nonperiodic-templates 9 16 9 10 7 5 10 6 9 19 0.048716 0.9800 nonperiodic-templates 8 6 8 5 15 10 17 8 11 12 0.153763 0.9800 nonperiodic-templates 9 10 11 8 6 9 11 16 8 12 0.657933 1.0000 nonperiodic-templates 8 10 11 6 12 8 12 7 8 18 0.275709 0.9900 nonperiodic-templates 10 9 13 8 14 7 14 8 7 10 0.657933 0.9700 nonperiodic-templates 11 7 14 9 9 8 9 11 14 8 0.798139 0.9700 nonperiodic-templates 5 13 6 16 5 15 14 8 14 4 0.013569 0.9900 nonperiodic-templates 12 6 8 10 13 7 14 11 14 5 0.350485 0.9700 nonperiodic-templates 10 10 9 8 8 14 7 9 14 11 0.816537 0.9900 nonperiodic-templates 10 10 8 7 16 11 7 8 10 13 0.616305 0.9900 nonperiodic-templates 10 8 7 5 11 16 11 9 10 13 0.474986 0.9700 nonperiodic-templates 5 15 8 9 9 14 5 11 13 11 0.289667 0.9900 nonperiodic-templates 7 10 11 11 11 12 3 15 8 12 0.366918 1.0000 nonperiodic-templates 10 7 7 10 9 11 9 13 14 10 0.867692 0.9900 nonperiodic-templates 4 7 12 8 7 14 14 11 12 11 0.350485 1.0000 nonperiodic-templates 13 6 8 13 6 12 10 10 9 13 0.657933 1.0000 overlapping-templates 4 8 14 12 15 7 15 10 9 6 0.137282 1.0000 universal 10 14 13 8 14 8 11 10 8 4 0.437274 0.9800 apen 3 5 2 2 10 5 3 11 3 5 0.003261 1.0000 random-excursions 7 4 9 5 5 4 5 4 4 2 0.330628 0.9592 * random-excursions 7 4 3 5 4 4 3 13 2 4 0.003923 1.0000 random-excursions 5 6 6 7 3 1 8 1 5 7 0.072289 1.0000 random-excursions 7 6 5 4 5 3 5 5 5 4 0.855534 0.9592 * random-excursions 6 5 7 5 6 2 3 5 5 5 0.663130 1.0000 random-excursions 3 5 5 6 4 3 5 10 4 4 0.258961 1.0000 random-excursions 7 3 6 6 3 6 3 8 3 4 0.330628 1.0000 random-excursions 1 7 4 2 5 9 5 7 4 5 0.098036 1.0000 random-excursions-variant 1 4 8 5 3 4 5 9 4 6 0.113706 1.0000 random-excursions-variant 3 6 3 6 3 7 6 8 1 6 0.151616 1.0000 random-excursions-variant 4 5 0 5 8 8 5 5 4 5 0.151616 1.0000 random-excursions-variant 3 5 3 5 5 6 6 5 7 4 0.764655 1.0000 random-excursions-variant 3 3 9 2 7 5 2 5 3 10 0.013808 1.0000 random-excursions-variant 2 4 4 9 6 3 4 6 5 6 0.293235 1.0000 random-excursions-variant 5 2 1 8 9 5 3 5 8 3 0.027405 1.0000 random-excursions-variant 7 3 4 6 2 5 6 7 5 4 0.509162 1.0000 random-excursions-variant 4 7 11 2 2 6 9 1 4 3 0.001859 1.0000 random-excursions-variant 1 9 9 4 6 5 4 4 6 1 0.023149 1.0000 random-excursions-variant 5 6 5 4 6 9 3 5 5 1 0.227773 1.0000 random-excursions-variant 8 4 2 6 4 6 7 6 1 5 0.174249 1.0000 random-excursions-variant 6 9 2 1 7 4 2 5 7 6 0.044942 0.9796 random-excursions-variant 5 5 7 2 6 4 3 6 3 8 0.330628 1.0000 random-excursions-variant 5 2 5 5 7 6 3 6 7 3 0.460664 1.0000 random-excursions-variant 6 1 4 3 13 4 4 5 8 1 0.000398 0.9796 random-excursions-variant 6 2 2 7 8 6 4 3 5 6 0.227773 0.9796 random-excursions-variant 9 11 14 6 11 7 14 12 7 9 0.595549 0.9900 serial 11 15 7 8 12 9 10 16 6 6 0.262249 1.0000 serial 6 13 17 8 10 7 8 7 15 9 0.181557 0.9800 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 0.947358 for a sample size = 49 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - -