------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 101 116 96 100 92 101 99 108 103 84 0.670396 0.9880 frequency 85 104 99 109 96 107 107 105 101 87 0.707513 0.9930 block-frequency 111 101 94 93 105 88 94 109 113 92 0.610070 0.9870 cumulative-sums 107 98 109 96 89 98 99 98 105 101 0.961869 0.9890 cumulative-sums 95 89 90 100 92 92 114 104 101 123 0.264901 0.9900 runs 104 92 95 107 97 107 104 103 103 88 0.917870 0.9900 longest-run 95 99 102 107 97 101 91 98 106 104 0.986658 0.9830 rank 120 94 112 95 101 106 97 88 90 97 0.433590 0.9810 fft 119 96 104 100 100 102 95 98 91 95 0.805569 0.9900 nonperiodic-templates 85 95 101 101 107 94 104 115 94 104 0.709558 0.9890 nonperiodic-templates 101 107 100 89 90 107 108 104 98 96 0.897763 0.9890 nonperiodic-templates 92 99 115 81 109 102 104 98 105 95 0.528111 0.9920 nonperiodic-templates 108 67 118 95 98 93 109 111 123 78 0.001070 0.9850 nonperiodic-templates 105 99 102 110 106 95 98 92 88 105 0.892036 0.9910 nonperiodic-templates 88 93 98 93 99 111 106 108 111 93 0.701366 0.9930 nonperiodic-templates 91 94 87 95 122 99 111 104 104 93 0.352107 0.9870 nonperiodic-templates 101 83 110 106 108 90 104 106 96 96 0.664168 0.9930 nonperiodic-templates 97 101 77 99 97 112 108 106 108 95 0.454053 0.9880 nonperiodic-templates 90 121 94 114 89 112 95 100 98 87 0.193767 0.9930 nonperiodic-templates 105 103 95 99 103 96 95 93 92 119 0.755819 0.9880 nonperiodic-templates 98 96 116 100 110 93 91 107 88 101 0.637119 0.9910 nonperiodic-templates 100 106 103 116 100 93 98 107 71 106 0.171867 0.9930 nonperiodic-templates 126 86 97 90 92 104 94 100 117 94 0.114712 0.9880 nonperiodic-templates 109 88 86 110 107 91 107 111 101 90 0.417219 0.9900 nonperiodic-templates 91 105 97 96 100 105 105 103 102 96 0.989786 0.9930 nonperiodic-templates 90 101 97 97 106 106 87 105 128 83 0.103138 0.9880 nonperiodic-templates 100 100 104 112 100 76 92 118 101 97 0.253122 0.9870 nonperiodic-templates 99 88 114 101 107 80 95 110 103 103 0.406499 0.9910 nonperiodic-templates 98 100 94 90 120 100 101 98 106 93 0.709558 0.9920 nonperiodic-templates 95 100 105 97 89 104 96 111 98 105 0.934599 0.9900 nonperiodic-templates 113 88 104 110 99 75 103 99 109 100 0.245490 0.9920 nonperiodic-templates 92 102 94 86 116 114 99 94 101 102 0.540204 0.9870 nonperiodic-templates 100 97 103 99 97 103 94 103 108 96 0.996155 0.9920 nonperiodic-templates 106 105 87 108 101 114 103 89 95 92 0.626709 0.9890 nonperiodic-templates 94 100 95 92 92 113 99 107 110 98 0.823725 0.9930 nonperiodic-templates 104 113 97 95 117 77 87 107 95 108 0.143686 0.9890 nonperiodic-templates 93 100 104 99 99 104 105 102 106 88 0.967382 0.9880 nonperiodic-templates 90 107 104 86 92 97 104 99 111 110 0.666245 0.9940 nonperiodic-templates 113 92 96 94 109 89 98 102 103 104 0.816537 0.9830 nonperiodic-templates 77 96 114 98 106 92 101 107 105 104 0.404728 0.9920 nonperiodic-templates 99 96 92 98 109 97 101 114 111 83 0.552383 0.9890 nonperiodic-templates 115 93 99 92 99 82 109 102 105 104 0.544254 0.9870 nonperiodic-templates 109 104 107 92 94 108 90 93 100 103 0.861264 0.9930 nonperiodic-templates 92 97 102 90 93 96 104 95 126 105 0.363593 0.9930 nonperiodic-templates 107 98 102 113 93 99 88 88 112 100 0.628790 0.9850 nonperiodic-templates 90 89 107 80 91 106 112 97 107 121 0.112047 0.9940 nonperiodic-templates 98 99 98 87 101 100 93 129 101 94 0.271619 0.9950 nonperiodic-templates 96 95 103 100 102 108 85 90 122 99 0.411840 0.9900 nonperiodic-templates 97 97 111 86 83 107 86 105 116 112 0.165340 0.9860 nonperiodic-templates 92 117 122 107 93 93 97 94 101 84 0.169044 0.9890 nonperiodic-templates 86 97 109 102 106 98 110 90 90 112 0.560545 0.9940 nonperiodic-templates 100 104 92 92 98 111 101 102 118 82 0.417219 0.9910 nonperiodic-templates 108 102 96 108 107 85 107 104 82 101 0.522100 0.9890 nonperiodic-templates 101 93 102 103 109 99 97 91 108 97 0.961039 0.9860 nonperiodic-templates 90 111 97 90 98 91 119 104 95 105 0.492436 0.9920 nonperiodic-templates 87 93 102 98 98 87 102 111 115 107 0.536163 0.9920 nonperiodic-templates 108 97 108 101 96 107 103 83 96 101 0.818343 0.9900 nonperiodic-templates 105 106 100 93 93 94 112 102 88 107 0.801865 0.9910 nonperiodic-templates 85 94 103 105 114 92 103 111 101 92 0.585209 0.9930 nonperiodic-templates 95 118 108 94 76 99 99 112 104 95 0.206629 0.9920 nonperiodic-templates 98 114 96 102 97 86 87 102 112 106 0.556460 0.9880 nonperiodic-templates 114 86 94 106 94 104 111 103 95 93 0.616305 0.9870 nonperiodic-templates 99 80 99 105 103 107 89 109 106 103 0.603841 0.9940 nonperiodic-templates 96 102 104 113 98 88 104 119 86 90 0.329850 0.9880 nonperiodic-templates 96 89 102 94 99 112 97 101 111 99 0.872425 0.9880 nonperiodic-templates 83 92 104 94 110 100 102 87 127 101 0.119508 0.9950 nonperiodic-templates 100 106 100 104 105 92 85 98 110 100 0.859637 0.9890 nonperiodic-templates 91 83 104 93 114 91 108 111 104 101 0.424453 0.9910 nonperiodic-templates 108 105 91 87 85 110 117 100 108 89 0.250558 0.9850 nonperiodic-templates 97 101 100 101 97 111 91 99 102 101 0.986227 0.9920 nonperiodic-templates 99 109 94 93 102 95 109 110 97 92 0.875539 0.9910 nonperiodic-templates 101 91 104 111 105 104 94 89 112 89 0.655854 0.9920 nonperiodic-templates 98 90 125 99 106 94 96 95 98 99 0.486588 0.9950 nonperiodic-templates 107 95 114 105 111 95 88 107 80 98 0.320607 0.9880 nonperiodic-templates 111 101 97 84 101 85 98 83 124 116 0.043087 0.9900 nonperiodic-templates 115 107 100 118 111 99 83 93 87 87 0.123755 0.9900 nonperiodic-templates 115 113 107 112 88 90 87 96 95 97 0.311542 0.9890 nonperiodic-templates 77 104 90 106 98 99 110 116 100 100 0.317565 0.9950 nonperiodic-templates 103 98 99 110 99 114 99 97 93 88 0.821937 0.9900 nonperiodic-templates 96 111 92 97 106 97 100 93 108 100 0.931185 0.9920 nonperiodic-templates 104 104 92 102 99 78 105 101 104 111 0.587274 0.9940 nonperiodic-templates 83 95 118 119 94 115 95 90 101 90 0.094854 0.9920 nonperiodic-templates 117 97 104 99 102 102 95 98 91 95 0.869278 0.9900 nonperiodic-templates 96 109 108 100 105 95 88 89 100 110 0.763677 0.9900 nonperiodic-templates 87 108 92 121 75 94 98 106 113 106 0.058243 0.9920 nonperiodic-templates 121 91 101 105 100 92 98 94 95 103 0.651693 0.9910 nonperiodic-templates 82 89 113 101 106 103 109 100 97 100 0.585209 0.9910 nonperiodic-templates 106 101 102 89 118 96 97 92 107 92 0.649612 0.9930 nonperiodic-templates 96 105 108 92 91 105 95 109 104 95 0.896345 0.9880 nonperiodic-templates 109 87 110 102 105 90 96 110 98 93 0.691081 0.9920 nonperiodic-templates 87 105 108 119 107 91 99 80 93 111 0.153763 0.9900 nonperiodic-templates 101 100 93 106 94 98 126 97 88 97 0.380407 0.9920 nonperiodic-templates 90 88 104 111 108 95 110 97 103 94 0.715679 0.9880 nonperiodic-templates 95 95 100 111 97 93 92 106 114 97 0.803720 0.9870 nonperiodic-templates 96 80 90 109 125 100 102 99 104 95 0.177628 0.9900 nonperiodic-templates 99 99 97 112 110 99 100 94 96 94 0.944274 0.9970 nonperiodic-templates 99 100 106 80 103 114 89 91 100 118 0.231956 0.9880 nonperiodic-templates 100 93 96 93 114 107 103 102 96 96 0.908760 0.9930 nonperiodic-templates 94 95 100 95 99 102 100 110 108 97 0.976878 0.9910 nonperiodic-templates 98 84 105 115 82 108 105 109 82 112 0.098920 0.9900 nonperiodic-templates 116 124 87 95 99 104 94 96 96 89 0.195864 0.9820 nonperiodic-templates 94 100 102 87 87 129 105 99 93 104 0.158133 0.9890 nonperiodic-templates 116 108 102 93 109 90 100 101 91 90 0.599693 0.9860 nonperiodic-templates 100 100 97 90 108 115 82 109 111 88 0.298282 0.9920 nonperiodic-templates 108 96 100 86 111 98 98 102 109 92 0.784927 0.9890 nonperiodic-templates 82 102 96 95 123 99 90 127 92 94 0.032061 0.9930 nonperiodic-templates 101 89 108 110 115 104 97 89 102 85 0.450297 0.9890 nonperiodic-templates 105 106 100 93 99 103 113 100 103 78 0.552383 0.9880 nonperiodic-templates 107 106 95 104 89 123 87 101 100 88 0.282626 0.9860 nonperiodic-templates 94 105 97 108 94 85 103 97 115 102 0.697257 0.9850 nonperiodic-templates 103 107 121 93 86 105 101 93 89 102 0.397688 0.9870 nonperiodic-templates 115 95 98 103 108 102 89 97 85 108 0.585209 0.9890 nonperiodic-templates 101 95 109 108 104 90 94 86 94 119 0.422638 0.9930 nonperiodic-templates 92 88 118 89 83 114 105 117 99 95 0.097159 0.9920 nonperiodic-templates 92 108 103 108 100 101 95 94 100 99 0.976878 0.9940 nonperiodic-templates 78 116 86 95 109 104 117 107 86 102 0.067722 0.9950 nonperiodic-templates 98 90 116 85 102 126 93 99 106 85 0.072066 0.9840 nonperiodic-templates 92 95 108 88 100 121 84 88 107 117 0.097743 0.9920 nonperiodic-templates 98 90 103 104 101 97 99 108 99 101 0.990483 0.9870 nonperiodic-templates 105 105 105 98 98 95 102 102 99 91 0.991780 0.9870 nonperiodic-templates 103 117 100 118 84 106 99 90 87 96 0.213309 0.9890 nonperiodic-templates 115 104 101 82 88 97 102 105 105 101 0.560545 0.9860 nonperiodic-templates 103 99 98 113 109 103 91 82 89 113 0.377007 0.9900 nonperiodic-templates 94 107 95 103 115 94 95 94 106 97 0.846338 0.9940 nonperiodic-templates 102 108 107 103 101 80 93 101 99 106 0.725829 0.9860 nonperiodic-templates 106 97 120 103 101 94 98 94 97 90 0.699313 0.9880 nonperiodic-templates 106 108 91 86 96 106 100 112 89 106 0.605916 0.9890 nonperiodic-templates 84 108 99 95 89 101 80 113 127 104 0.037320 0.9900 nonperiodic-templates 112 93 99 92 106 97 112 88 104 97 0.723804 0.9930 nonperiodic-templates 105 90 115 96 104 104 106 89 88 103 0.628790 0.9870 nonperiodic-templates 110 121 78 110 83 94 106 100 106 92 0.069863 0.9900 nonperiodic-templates 99 99 94 104 99 101 114 109 88 93 0.811080 0.9900 nonperiodic-templates 98 112 105 98 103 92 91 99 113 89 0.717714 0.9920 nonperiodic-templates 110 89 96 103 99 106 84 117 98 98 0.498313 0.9860 nonperiodic-templates 102 103 120 101 108 104 105 78 84 95 0.169981 0.9900 nonperiodic-templates 109 110 96 112 89 94 106 80 100 104 0.392456 0.9830 nonperiodic-templates 102 114 86 112 99 102 86 101 104 94 0.540204 0.9920 nonperiodic-templates 89 92 122 107 80 103 94 106 105 102 0.197981 0.9920 nonperiodic-templates 109 120 96 106 102 77 92 121 79 98 0.016950 0.9840 nonperiodic-templates 105 92 103 90 114 97 113 95 97 94 0.697257 0.9880 nonperiodic-templates 108 106 104 102 98 100 102 91 86 103 0.901959 0.9900 nonperiodic-templates 97 109 99 104 117 103 96 84 98 93 0.605916 0.9900 nonperiodic-templates 118 103 98 106 106 96 90 100 89 94 0.655854 0.9860 nonperiodic-templates 112 90 104 91 103 97 98 83 115 107 0.413628 0.9900 nonperiodic-templates 94 98 98 105 105 100 97 97 98 108 0.994250 0.9830 nonperiodic-templates 103 97 115 98 79 92 111 98 103 104 0.435430 0.9930 nonperiodic-templates 107 106 87 96 98 103 90 121 92 100 0.448424 0.9910 nonperiodic-templates 88 96 97 84 93 111 107 120 103 101 0.308561 0.9930 nonperiodic-templates 94 98 123 103 77 97 84 95 126 103 0.013474 0.9890 nonperiodic-templates 101 110 104 103 99 90 90 88 116 99 0.607993 0.9940 nonperiodic-templates 116 92 96 80 94 108 112 97 87 118 0.096000 0.9910 nonperiodic-templates 104 91 82 106 102 113 113 93 101 95 0.461612 0.9860 nonperiodic-templates 118 98 89 104 114 106 99 97 82 93 0.289667 0.9860 nonperiodic-templates 112 107 99 100 97 90 82 107 110 96 0.542228 0.9940 nonperiodic-templates 94 84 107 103 110 113 108 92 99 90 0.486588 0.9940 nonperiodic-templates 83 95 118 118 95 115 95 90 102 89 0.101917 0.9920 nonperiodic-templates 107 110 103 106 108 93 89 96 89 99 0.773405 0.9880 overlapping-templates 99 122 94 77 98 98 122 96 90 104 0.052947 0.9900 universal 90 111 102 90 120 104 94 95 88 106 0.365253 0.9880 apen 74 59 58 67 56 70 56 57 50 57 0.500934 0.9834 random-excursions 53 62 66 66 70 60 59 51 51 66 0.630178 0.9868 random-excursions 69 67 50 44 65 63 59 71 56 60 0.278001 0.9834 random-excursions 61 60 66 61 71 69 43 54 66 53 0.287306 0.9818 random-excursions 48 61 64 62 68 57 67 65 48 64 0.547637 0.9950 random-excursions 43 66 56 56 65 74 47 73 71 53 0.034031 0.9884 random-excursions 57 57 77 64 72 59 63 52 51 52 0.247171 0.9901 random-excursions 64 59 69 44 74 60 58 63 66 47 0.171867 0.9851 random-excursions 51 67 69 76 54 52 62 61 59 53 0.321625 0.9917 random-excursions-variant 46 75 57 72 62 54 53 52 74 59 0.080519 0.9917 random-excursions-variant 52 67 68 56 51 62 56 68 63 61 0.726503 0.9934 random-excursions-variant 45 70 72 63 49 52 78 59 58 58 0.055361 0.9934 random-excursions-variant 58 59 68 65 52 62 64 58 55 63 0.935716 0.9917 random-excursions-variant 60 66 57 65 64 62 52 67 51 60 0.856907 0.9917 random-excursions-variant 58 61 64 65 72 59 60 55 60 50 0.810470 0.9917 random-excursions-variant 63 62 64 54 54 56 64 59 58 70 0.913593 0.9901 random-excursions-variant 76 65 63 59 60 55 62 46 66 52 0.329332 0.9868 random-excursions-variant 63 74 72 71 54 47 65 48 58 52 0.085587 0.9834 random-excursions-variant 67 67 70 67 60 50 63 59 56 45 0.353190 0.9801 random-excursions-variant 67 73 71 64 57 41 64 56 57 54 0.146705 0.9901 random-excursions-variant 59 74 67 59 53 70 50 63 51 58 0.364146 0.9917 random-excursions-variant 68 60 70 64 51 71 40 65 60 55 0.127148 0.9934 random-excursions-variant 70 64 67 64 57 55 66 45 59 57 0.524101 0.9917 random-excursions-variant 68 65 60 60 58 61 54 52 61 65 0.931952 0.9950 random-excursions-variant 61 69 53 68 50 55 59 63 64 62 0.756476 0.9884 random-excursions-variant 65 59 59 71 49 65 58 66 63 49 0.561227 0.9934 random-excursions-variant 97 97 105 97 111 110 88 107 102 86 0.672470 0.9860 serial 106 93 104 112 95 116 104 81 84 105 0.222480 0.9870 serial 106 105 109 97 95 90 103 86 102 107 0.803720 0.9880 linear-complexity - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - The minimum pass rate for each statistical test with the exception of the random excursion (variant) test is approximately = 0.980561 for a sample size = 1000 binary sequences. The minimum pass rate for the random excursion (variant) test is approximately 0.977854 for a sample size = 604 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - -