------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 52 60 54 49 48 60 40 32 59 46 0.093157 0.9880 Frequency 51 37 55 51 54 57 56 50 42 47 0.595549 0.9920 Block-Frequency 63 48 50 55 47 57 46 39 50 45 0.498313 0.9840 Cusum 56 56 50 57 45 53 43 39 46 55 0.603841 0.9880 Cusum 57 52 47 55 52 63 41 43 52 38 0.292519 0.9880 Runs 44 55 42 56 55 53 56 50 36 53 0.463512 0.9980 Long-Run 61 43 40 51 55 35 58 54 48 55 0.181557 0.9900 Rank 42 54 43 71 53 48 47 44 56 42 0.103753 0.9980 FFT 47 58 45 56 51 40 55 48 49 51 0.805569 0.9820 Aperiodic-Template 46 50 49 50 50 48 53 54 45 55 0.992670 0.9900 Aperiodic-Template 43 46 57 50 51 61 40 52 42 58 0.404728 0.9880 Aperiodic-Template 49 55 42 68 50 39 35 48 57 57 0.045088 0.9920 Aperiodic-Template 41 58 58 45 59 49 51 41 45 53 0.471146 0.9880 Aperiodic-Template 42 55 42 60 52 46 40 63 52 48 0.275709 0.9880 Aperiodic-Template 60 44 44 56 44 60 58 39 52 43 0.234373 0.9900 Aperiodic-Template 58 41 52 43 56 45 59 46 59 41 0.322135 0.9840 Aperiodic-Template 59 47 59 40 60 46 50 55 48 36 0.200115 0.9920 Aperiodic-Template 33 56 54 52 52 59 65 55 41 33 0.012650 0.9900 Aperiodic-Template 51 41 52 50 49 54 42 56 53 52 0.889118 0.9880 Aperiodic-Template 41 65 59 49 55 47 41 55 48 40 0.179584 0.9920 Aperiodic-Template 54 50 49 51 61 51 46 47 46 45 0.903338 0.9860 Aperiodic-Template 56 53 55 42 48 47 51 48 50 50 0.962688 0.9880 Aperiodic-Template 44 40 44 55 56 42 52 44 62 61 0.211064 0.9880 Aperiodic-Template 46 50 46 52 49 54 50 50 50 53 0.998655 1.0000 Aperiodic-Template 39 38 41 78 48 49 45 46 59 57 0.001953 0.9980 Aperiodic-Template 53 50 52 42 55 46 55 54 44 49 0.916599 0.9880 Aperiodic-Template 52 60 57 53 42 37 49 46 52 52 0.494392 0.9960 Aperiodic-Template 51 62 55 52 54 45 35 53 52 41 0.298282 0.9860 Aperiodic-Template 56 47 34 61 50 52 56 50 42 52 0.304126 0.9880 Aperiodic-Template 41 50 58 41 48 49 41 53 63 56 0.310049 0.9880 Aperiodic-Template 45 53 47 52 52 53 44 44 63 47 0.719747 0.9900 Aperiodic-Template 54 49 59 44 49 48 55 53 44 45 0.861264 0.9840 Aperiodic-Template 52 59 58 42 66 44 39 47 52 41 0.108791 0.9900 Aperiodic-Template 46 53 53 43 39 52 48 49 59 58 0.620465 0.9920 Aperiodic-Template 51 53 52 52 56 46 51 47 61 31 0.259616 0.9920 Aperiodic-Template 41 48 34 51 53 52 65 49 48 59 0.148653 0.9880 Aperiodic-Template 50 43 47 49 42 55 62 57 47 48 0.628790 0.9900 Aperiodic-Template 59 49 66 52 46 48 43 55 41 41 0.215574 0.9920 Aperiodic-Template 61 38 36 59 46 50 60 49 51 50 0.153763 0.9840 Aperiodic-Template 57 43 59 59 47 50 54 40 54 37 0.249284 0.9920 Aperiodic-Template 55 49 33 44 63 54 45 50 55 52 0.224821 0.9920 Aperiodic-Template 47 44 60 56 54 46 54 49 51 39 0.632955 0.9900 Aperiodic-Template 56 63 54 44 45 45 51 43 44 55 0.498313 0.9880 Aperiodic-Template 41 50 54 46 49 66 57 45 41 51 0.310049 0.9900 Aperiodic-Template 46 56 53 44 51 48 52 49 44 57 0.921624 1.0000 Aperiodic-Template 45 51 45 50 48 66 60 44 43 48 0.350485 0.9860 Aperiodic-Template 40 42 62 59 41 50 49 46 45 66 0.081510 0.9880 Aperiodic-Template 44 48 49 43 51 50 61 54 49 51 0.867692 0.9940 Aperiodic-Template 56 60 58 44 40 50 61 40 45 46 0.215574 0.9900 Aperiodic-Template 60 45 45 51 45 40 50 60 50 54 0.550347 0.9920 Aperiodic-Template 48 63 47 46 62 40 54 46 49 45 0.350485 0.9880 Aperiodic-Template 53 52 43 48 43 39 58 57 61 46 0.373625 0.9880 Aperiodic-Template 43 48 55 49 53 52 61 48 42 49 0.775337 0.9900 Aperiodic-Template 45 59 47 41 39 47 54 64 43 61 0.116746 0.9880 Aperiodic-Template 55 58 37 46 43 59 52 47 57 46 0.380407 0.9900 Aperiodic-Template 57 44 58 53 54 64 34 43 48 45 0.119508 0.9880 Aperiodic-Template 49 52 45 55 39 44 44 53 63 56 0.415422 0.9880 Aperiodic-Template 49 49 56 49 49 54 43 49 45 57 0.935716 0.9900 Aperiodic-Template 55 56 45 51 50 52 43 37 56 55 0.595549 0.9880 Aperiodic-Template 38 54 50 56 40 51 49 55 50 57 0.591409 0.9980 Aperiodic-Template 51 52 50 60 57 46 47 36 51 50 0.583145 0.9900 Aperiodic-Template 67 46 49 59 42 43 49 48 48 49 0.334538 0.9860 Aperiodic-Template 57 44 56 48 56 41 53 45 49 51 0.783019 0.9860 Aperiodic-Template 52 44 59 52 46 49 54 42 46 56 0.790621 0.9960 Aperiodic-Template 39 51 50 43 50 55 43 65 45 59 0.241741 0.9920 Aperiodic-Template 52 54 49 51 45 43 57 41 56 52 0.805569 0.9880 Aperiodic-Template 58 39 44 55 59 49 57 50 40 49 0.387264 0.9820 Aperiodic-Template 47 54 58 46 62 54 41 49 44 45 0.518106 0.9920 Aperiodic-Template 46 55 48 42 52 42 52 48 62 53 0.662091 0.9960 Aperiodic-Template 45 41 54 57 54 53 47 61 46 42 0.522100 0.9980 Aperiodic-Template 50 46 59 56 49 48 53 51 35 53 0.570792 0.9900 Aperiodic-Template 45 53 45 39 50 47 65 59 44 53 0.289667 0.9880 Aperiodic-Template 44 40 50 56 56 51 52 57 51 43 0.715679 0.9920 Aperiodic-Template 56 38 48 44 52 64 49 56 39 54 0.220159 0.9860 Aperiodic-Template 52 50 55 31 44 41 65 43 67 52 0.010681 0.9840 Aperiodic-Template 64 53 59 51 47 53 46 40 41 46 0.322135 0.9940 Aperiodic-Template 58 47 43 57 54 55 38 49 49 50 0.620465 0.9880 Aperiodic-Template 57 44 53 61 48 44 50 39 45 59 0.380407 0.9900 Aperiodic-Template 50 46 57 52 53 46 56 42 52 46 0.892036 0.9920 Aperiodic-Template 48 58 39 57 47 61 47 57 39 47 0.267573 0.9940 Aperiodic-Template 47 50 45 54 42 60 48 49 56 49 0.823725 0.9920 Aperiodic-Template 62 39 51 56 47 48 55 51 55 36 0.259616 0.9800 Aperiodic-Template 47 58 45 56 51 40 55 48 49 51 0.805569 0.9820 Aperiodic-Template 53 46 55 42 59 53 51 59 41 41 0.440975 0.9860 Aperiodic-Template 55 41 57 57 42 48 47 42 59 52 0.474986 0.9940 Aperiodic-Template 47 47 45 44 46 63 63 40 54 51 0.275709 0.9880 Aperiodic-Template 61 48 54 47 44 47 53 37 51 58 0.459717 0.9880 Aperiodic-Template 53 48 52 52 52 47 57 51 44 44 0.959347 0.9900 Aperiodic-Template 42 55 47 53 59 56 46 58 32 52 0.179584 0.9920 Aperiodic-Template 63 54 52 38 47 61 46 47 42 50 0.272977 0.9880 Aperiodic-Template 55 58 42 47 45 54 47 52 44 56 0.763677 0.9840 Aperiodic-Template 49 48 60 43 52 40 44 49 52 63 0.404728 0.9860 Aperiodic-Template 51 45 50 54 49 45 54 56 49 47 0.978072 0.9900 Aperiodic-Template 65 46 52 51 51 43 41 55 43 53 0.419021 0.9940 Aperiodic-Template 55 42 54 37 45 46 63 54 61 43 0.145326 0.9880 Aperiodic-Template 50 48 54 59 44 52 52 39 52 50 0.798139 0.9920 Aperiodic-Template 54 47 57 54 44 39 52 42 60 51 0.502247 0.9920 Aperiodic-Template 48 70 47 64 43 46 44 49 38 51 0.046870 0.9940 Aperiodic-Template 49 49 48 54 54 50 55 46 56 39 0.858002 0.9960 Aperiodic-Template 38 59 54 48 49 56 47 48 49 52 0.739918 0.9960 Aperiodic-Template 42 46 57 43 53 61 43 43 50 62 0.275709 0.9960 Aperiodic-Template 50 52 51 47 48 49 49 52 53 49 0.999887 0.9960 Aperiodic-Template 57 65 49 50 42 55 47 49 47 39 0.344048 1.0000 Aperiodic-Template 67 42 44 46 55 59 31 58 56 42 0.013953 0.9860 Aperiodic-Template 48 56 52 42 54 55 45 60 41 47 0.607993 0.9940 Aperiodic-Template 42 67 63 51 50 57 49 38 41 42 0.045088 0.9900 Aperiodic-Template 48 52 48 45 49 51 61 46 52 48 0.931185 0.9940 Aperiodic-Template 45 48 59 54 47 53 43 57 36 58 0.347257 0.9920 Aperiodic-Template 65 42 38 59 62 44 49 44 54 43 0.068571 0.9840 Aperiodic-Template 53 61 56 53 51 46 47 49 38 46 0.612147 0.9940 Aperiodic-Template 70 60 32 53 49 53 44 48 52 39 0.016950 0.9900 Aperiodic-Template 47 41 53 41 55 49 52 57 57 48 0.715679 0.9920 Aperiodic-Template 54 42 58 51 63 43 47 55 38 49 0.286836 0.9880 Aperiodic-Template 39 46 58 55 49 52 51 52 57 41 0.603841 0.9960 Aperiodic-Template 45 45 50 63 49 49 53 52 42 52 0.735908 0.9880 Aperiodic-Template 62 57 56 54 34 45 61 30 54 47 0.010834 0.9900 Aperiodic-Template 42 53 55 39 63 41 42 50 61 54 0.145326 0.9940 Aperiodic-Template 57 59 48 55 36 47 41 49 51 57 0.357000 0.9820 Aperiodic-Template 52 46 52 49 45 45 65 41 55 50 0.522100 0.9960 Aperiodic-Template 56 49 51 46 50 54 34 48 61 51 0.433590 0.9880 Aperiodic-Template 43 48 51 42 53 49 60 65 50 39 0.244236 0.9920 Aperiodic-Template 54 49 63 49 62 45 38 47 52 41 0.220159 0.9860 Aperiodic-Template 56 59 45 50 54 41 52 58 45 40 0.471146 0.9880 Aperiodic-Template 35 57 56 58 57 41 43 46 57 50 0.193767 0.9960 Aperiodic-Template 46 51 45 53 58 57 48 56 48 38 0.632955 0.9900 Aperiodic-Template 64 53 51 40 51 43 65 35 54 44 0.046269 0.9700 Aperiodic-Template 51 47 49 45 52 55 52 51 46 52 0.994250 0.9900 Aperiodic-Template 57 52 43 49 49 49 48 53 51 49 0.983453 0.9840 Aperiodic-Template 56 47 58 62 51 46 39 42 52 47 0.404728 0.9900 Aperiodic-Template 52 46 36 47 53 53 49 58 57 49 0.620465 0.9920 Aperiodic-Template 60 46 57 45 54 47 46 40 51 54 0.641284 0.9940 Aperiodic-Template 47 45 52 56 48 61 62 43 42 44 0.363593 0.9900 Aperiodic-Template 49 52 39 42 46 54 64 50 54 50 0.467322 0.9840 Aperiodic-Template 51 55 49 57 53 49 39 54 41 52 0.723804 0.9820 Aperiodic-Template 44 51 45 47 35 42 59 52 64 61 0.084551 0.9900 Aperiodic-Template 53 50 53 51 44 51 53 56 53 36 0.727851 0.9860 Aperiodic-Template 49 46 49 53 52 47 48 41 56 59 0.848027 0.9940 Aperiodic-Template 47 49 58 49 48 45 47 55 58 44 0.854708 0.9860 Aperiodic-Template 45 54 58 49 49 53 48 46 53 45 0.946308 0.9800 Aperiodic-Template 48 37 47 61 54 64 49 48 46 46 0.272977 0.9900 Aperiodic-Template 44 58 50 58 43 48 53 42 46 58 0.595549 0.9900 Aperiodic-Template 53 50 55 44 50 40 48 65 50 45 0.486588 0.9880 Aperiodic-Template 58 49 68 43 52 39 40 49 52 50 0.146982 0.9780 Aperiodic-Template 48 45 44 64 47 53 58 51 47 43 0.530120 0.9940 Aperiodic-Template 61 42 56 51 45 58 44 55 47 41 0.415422 0.9880 Aperiodic-Template 49 49 50 39 51 56 57 47 62 40 0.415422 0.9820 Aperiodic-Template 54 56 48 55 44 57 40 54 49 43 0.674543 0.9880 Aperiodic-Template 55 43 53 51 52 47 39 44 61 55 0.534146 0.9920 Aperiodic-Template 66 41 55 49 53 34 42 56 53 51 0.097743 0.9820 Aperiodic-Template 57 38 47 56 52 52 65 47 41 45 0.229559 0.9880 Aperiodic-Template 51 41 51 60 41 53 53 46 59 45 0.526105 0.9900 Aperiodic-Template 54 62 51 53 37 48 45 45 49 56 0.474986 0.9880 Aperiodic-Template 43 54 48 48 57 52 51 46 46 55 0.931185 0.9980 Aperiodic-Template 63 49 58 50 40 50 41 37 63 49 0.088762 0.9840 Aperiodic-Template 49 51 60 47 46 53 47 56 46 45 0.880145 0.9980 Aperiodic-Template 62 39 51 56 48 47 55 51 55 36 0.259616 0.9800 Aperiodic-Template 57 50 38 43 47 59 57 46 62 41 0.189625 0.9940 Periodic-Template 50 53 61 50 55 41 44 47 56 43 0.603841 0.9800 Universal 54 47 45 54 58 51 50 40 52 49 0.858002 0.9800 Apen 36 25 28 32 29 47 26 27 25 28 0.130871 0.9736 Random-Excursion 29 28 34 16 37 24 45 32 26 32 0.031150 0.9934 Random-Excursion 33 17 31 30 33 37 17 33 31 41 0.036352 0.9868 Random-Excursion 24 34 28 32 28 35 34 31 24 33 0.831393 1.0000 Random-Excursion 32 27 27 30 26 39 29 30 25 38 0.640590 0.9901 Random-Excursion 35 33 33 28 28 25 29 34 31 27 0.944616 0.9868 Random-Excursion 33 29 29 33 29 33 32 29 25 31 0.990929 0.9868 Random-Excursion 28 30 34 41 35 32 26 23 33 21 0.287306 0.9769 Random-Excursion 29 36 29 31 21 30 36 26 34 31 0.709558 0.9868 Random-Excursion-V 31 31 36 35 20 31 27 30 24 38 0.428095 0.9868 Random-Excursion-V 29 30 35 33 30 28 26 36 28 28 0.951205 0.9868 Random-Excursion-V 26 26 41 33 30 35 34 28 28 22 0.422034 0.9802 Random-Excursion-V 25 28 35 40 38 30 18 30 30 29 0.207730 0.9802 Random-Excursion-V 25 35 27 30 30 37 28 41 25 25 0.398272 0.9769 Random-Excursion-V 29 21 34 35 36 29 34 31 26 28 0.682134 0.9934 Random-Excursion-V 25 28 31 30 33 28 36 31 41 20 0.347793 0.9934 Random-Excursion-V 23 35 29 31 38 36 27 20 30 34 0.347793 0.9901 Random-Excursion-V 41 29 25 34 19 24 29 28 38 36 0.116519 0.9835 Random-Excursion-V 34 29 44 30 22 26 29 32 33 24 0.247171 0.9868 Random-Excursion-V 38 26 34 31 29 32 35 21 30 27 0.612840 0.9835 Random-Excursion-V 32 35 32 30 37 25 27 22 28 35 0.640590 0.9901 Random-Excursion-V 33 30 36 37 25 38 24 18 34 28 0.173452 0.9868 Random-Excursion-V 32 26 33 38 34 24 28 29 25 34 0.702733 0.9901 Random-Excursion-V 31 31 37 34 32 22 39 29 28 20 0.296834 0.9901 Random-Excursion-V 29 34 38 34 38 23 32 30 20 25 0.255705 0.9901 Random-Excursion-V 35 31 34 25 41 26 38 24 24 25 0.204076 0.9901 Random-Excursion-V 62 53 54 45 51 45 51 42 51 46 0.735908 0.9920 Serial 56 53 44 59 56 50 35 49 49 49 0.482707 0.9920 Serial 49 34 52 71 54 50 36 48 53 53 0.027682 0.9880 Lempel-Ziv 53 44 54 40 50 49 51 45 56 58 0.763677 0.9900 Linear-Complexity - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - The minimum pass rate for each statistical test with the exception of the random excursion (variant) test is approximately = 0.976651 for a sample size = 500 binary sequences. The minimum pass rate for the random excursion (variant) test is approximately 0.972852 for a sample size = 303 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - -