------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 92 111 97 103 89 106 86 110 96 110 0.562591 0.9880 frequency 104 100 115 98 89 109 99 98 86 102 0.686955 0.9930 block-frequency 96 96 109 112 93 102 86 102 97 107 0.771469 0.9900 cumulative-sums 95 101 100 109 90 104 99 86 115 101 0.693142 0.9860 cumulative-sums 88 106 87 104 97 95 96 102 118 107 0.542228 0.9900 runs 97 122 81 102 114 96 88 109 94 97 0.145326 0.9900 longest-run 105 106 89 106 97 98 101 115 89 94 0.725829 0.9840 rank 116 108 94 114 98 84 93 108 93 92 0.320607 0.9870 fft 99 104 105 97 94 100 83 96 119 103 0.572847 0.9860 nonperiodic-templates 102 97 104 116 98 92 96 97 98 100 0.922855 0.9880 nonperiodic-templates 100 121 109 105 88 104 105 98 74 96 0.112708 0.9890 nonperiodic-templates 103 78 113 96 108 119 97 101 82 103 0.106877 0.9880 nonperiodic-templates 106 100 99 109 92 97 86 102 90 119 0.482707 0.9940 nonperiodic-templates 106 79 93 83 111 110 101 110 117 90 0.084037 0.9920 nonperiodic-templates 88 85 103 108 110 98 92 110 106 100 0.589341 0.9940 nonperiodic-templates 81 103 96 92 101 92 107 113 110 105 0.476911 0.9940 nonperiodic-templates 83 91 95 106 109 112 115 81 114 94 0.098330 0.9930 nonperiodic-templates 96 108 102 107 90 104 102 92 104 95 0.936823 0.9850 nonperiodic-templates 100 91 97 91 100 94 116 91 110 110 0.591409 0.9860 nonperiodic-templates 93 96 88 110 83 94 125 96 98 117 0.073872 0.9900 nonperiodic-templates 79 93 104 97 101 91 112 112 96 115 0.258307 0.9930 nonperiodic-templates 106 95 90 95 110 97 86 104 121 96 0.380407 0.9810 nonperiodic-templates 101 98 96 98 105 107 105 86 101 103 0.951205 0.9920 nonperiodic-templates 100 91 87 95 86 100 117 115 94 115 0.188601 0.9910 nonperiodic-templates 108 102 85 101 94 105 96 109 113 87 0.544254 0.9920 nonperiodic-templates 100 89 104 82 121 93 105 107 101 98 0.326749 0.9900 nonperiodic-templates 91 99 96 99 113 98 115 90 87 112 0.428095 0.9870 nonperiodic-templates 125 103 98 96 89 78 125 92 102 92 0.016950 0.9920 nonperiodic-templates 102 109 107 87 108 87 95 100 113 92 0.540204 0.9860 nonperiodic-templates 105 97 73 115 94 104 97 117 102 96 0.138069 0.9940 nonperiodic-templates 104 92 104 89 101 94 99 113 99 105 0.875539 0.9910 nonperiodic-templates 92 100 109 96 103 100 103 87 104 106 0.911413 0.9950 nonperiodic-templates 102 93 90 96 105 109 105 94 99 107 0.920383 0.9890 nonperiodic-templates 107 91 88 98 100 119 104 113 83 97 0.260930 0.9920 nonperiodic-templates 101 107 102 104 102 97 95 103 90 99 0.988291 0.9900 nonperiodic-templates 83 98 100 93 114 96 112 106 101 97 0.591409 0.9890 nonperiodic-templates 104 101 80 112 98 99 102 101 103 100 0.759756 0.9890 nonperiodic-templates 87 102 94 88 127 103 92 105 112 90 0.114040 0.9920 nonperiodic-templates 98 94 84 95 93 105 124 100 108 99 0.322135 0.9890 nonperiodic-templates 80 112 107 102 108 100 84 106 104 97 0.368587 0.9920 nonperiodic-templates 98 127 82 99 104 106 102 101 86 95 0.146982 0.9850 nonperiodic-templates 96 103 92 112 92 109 102 86 104 104 0.729870 0.9890 nonperiodic-templates 108 106 110 106 101 104 95 80 95 95 0.607993 0.9860 nonperiodic-templates 101 100 111 88 104 87 106 100 104 99 0.830808 0.9860 nonperiodic-templates 107 119 109 93 88 101 106 77 94 106 0.152902 0.9890 nonperiodic-templates 108 94 99 104 102 84 106 117 87 99 0.463512 0.9860 nonperiodic-templates 118 108 90 78 114 110 82 85 104 111 0.020973 0.9840 nonperiodic-templates 93 94 113 103 106 97 106 89 104 95 0.829047 0.9880 nonperiodic-templates 98 103 98 96 94 93 85 103 96 134 0.084551 0.9940 nonperiodic-templates 91 91 103 92 91 104 96 94 116 122 0.259616 0.9880 nonperiodic-templates 107 91 112 110 106 102 99 108 84 81 0.278461 0.9860 nonperiodic-templates 99 103 118 96 96 91 100 91 116 90 0.452173 0.9930 nonperiodic-templates 84 113 110 101 106 88 104 95 90 109 0.411840 0.9950 nonperiodic-templates 103 100 107 105 95 104 98 88 96 104 0.962688 0.9890 nonperiodic-templates 98 103 102 101 113 89 86 103 110 95 0.701366 0.9860 nonperiodic-templates 99 97 96 107 107 123 97 81 103 90 0.254411 0.9930 nonperiodic-templates 99 108 97 103 93 106 97 104 111 82 0.701366 0.9900 nonperiodic-templates 97 116 85 91 97 95 101 108 101 109 0.583145 0.9910 nonperiodic-templates 95 94 107 94 89 99 101 88 114 119 0.375313 0.9950 nonperiodic-templates 100 90 108 106 92 115 74 93 115 107 0.094285 0.9870 nonperiodic-templates 99 87 110 123 80 93 108 94 110 96 0.101311 0.9920 nonperiodic-templates 88 82 87 115 126 115 87 103 105 92 0.016149 0.9930 nonperiodic-templates 79 90 97 106 117 92 101 110 101 107 0.282626 0.9880 nonperiodic-templates 102 112 93 101 103 96 90 99 116 88 0.612147 0.9940 nonperiodic-templates 88 98 100 104 95 85 95 107 127 101 0.203351 0.9930 nonperiodic-templates 110 115 96 88 94 101 111 91 92 102 0.542228 0.9880 nonperiodic-templates 101 95 106 98 99 95 101 103 102 100 0.999286 0.9900 nonperiodic-templates 85 85 98 106 93 109 97 114 89 124 0.085068 0.9930 nonperiodic-templates 98 106 113 94 103 81 110 91 109 95 0.435430 0.9900 nonperiodic-templates 94 96 89 95 92 108 117 107 110 92 0.506194 0.9880 nonperiodic-templates 91 98 113 85 96 110 96 120 97 94 0.307077 0.9880 nonperiodic-templates 92 91 114 104 93 89 97 103 107 110 0.643366 0.9890 nonperiodic-templates 114 103 84 105 90 100 88 91 119 106 0.208837 0.9910 nonperiodic-templates 88 91 111 106 111 100 116 103 93 81 0.225998 0.9870 nonperiodic-templates 102 92 115 102 95 109 85 117 88 95 0.285427 0.9890 nonperiodic-templates 84 95 99 108 115 82 95 115 112 95 0.156373 0.9890 nonperiodic-templates 95 98 117 109 101 97 98 87 102 96 0.737915 0.9890 nonperiodic-templates 99 105 81 100 107 112 119 98 83 96 0.186566 0.9920 nonperiodic-templates 107 94 81 104 98 115 101 91 102 107 0.508172 0.9880 nonperiodic-templates 113 80 92 107 95 120 110 89 87 107 0.079051 0.9880 nonperiodic-templates 99 91 104 110 94 107 96 104 108 87 0.790621 0.9890 nonperiodic-templates 109 82 116 92 110 107 93 95 99 97 0.385543 0.9920 nonperiodic-templates 99 103 107 96 94 100 84 94 120 103 0.522100 0.9860 nonperiodic-templates 97 102 94 105 86 101 107 117 84 107 0.424453 0.9920 nonperiodic-templates 105 96 101 93 104 94 95 98 100 114 0.931185 0.9870 nonperiodic-templates 97 117 95 94 110 86 98 96 105 102 0.632955 0.9890 nonperiodic-templates 112 118 97 105 83 105 86 104 93 97 0.285427 0.9890 nonperiodic-templates 109 92 97 88 109 98 85 104 117 101 0.424453 0.9950 nonperiodic-templates 105 102 94 106 93 103 109 90 92 106 0.883171 0.9890 nonperiodic-templates 87 88 104 101 109 84 108 101 91 127 0.080027 0.9910 nonperiodic-templates 100 98 95 101 121 83 96 111 92 103 0.375313 0.9870 nonperiodic-templates 96 85 122 106 98 94 103 98 96 102 0.500279 0.9910 nonperiodic-templates 85 96 93 107 104 108 100 100 97 110 0.809249 0.9930 nonperiodic-templates 99 102 102 98 88 110 90 116 94 101 0.689019 0.9880 nonperiodic-templates 111 91 99 113 91 100 110 99 91 95 0.678686 0.9880 nonperiodic-templates 104 107 97 101 94 104 109 95 105 84 0.821937 0.9880 nonperiodic-templates 99 95 100 88 106 108 70 120 104 110 0.050954 0.9880 nonperiodic-templates 106 99 105 94 89 82 107 122 96 100 0.281232 0.9890 nonperiodic-templates 95 100 121 98 108 87 109 84 87 111 0.149495 0.9850 nonperiodic-templates 97 124 95 98 97 94 93 95 114 93 0.368587 0.9900 nonperiodic-templates 110 91 97 104 99 103 92 92 103 109 0.887645 0.9940 nonperiodic-templates 103 98 92 102 109 90 115 103 91 97 0.753844 0.9860 nonperiodic-templates 98 107 108 102 96 92 95 113 94 95 0.870856 0.9870 nonperiodic-templates 97 84 81 107 105 109 97 114 101 105 0.340858 0.9940 nonperiodic-templates 112 96 92 91 96 111 85 103 114 100 0.463512 0.9910 nonperiodic-templates 73 121 121 84 105 119 102 91 92 92 0.003371 0.9970 nonperiodic-templates 109 83 115 97 102 89 88 107 101 109 0.347257 0.9930 nonperiodic-templates 123 84 91 109 94 98 97 102 102 100 0.347257 0.9880 nonperiodic-templates 101 101 95 103 109 92 93 113 97 96 0.894918 0.9910 nonperiodic-templates 101 95 91 101 109 113 92 102 91 105 0.805569 0.9860 nonperiodic-templates 109 98 124 90 90 118 100 90 91 90 0.100709 0.9920 nonperiodic-templates 104 93 100 101 113 95 101 96 100 97 0.969588 0.9900 nonperiodic-templates 104 94 114 78 121 99 96 108 96 90 0.133404 0.9930 nonperiodic-templates 103 105 108 75 95 87 117 109 95 106 0.142062 0.9860 nonperiodic-templates 117 110 91 92 97 100 92 118 104 79 0.126658 0.9910 nonperiodic-templates 106 91 112 92 88 100 94 100 106 111 0.676615 0.9920 nonperiodic-templates 107 94 100 97 102 89 92 105 89 125 0.308561 0.9890 nonperiodic-templates 103 94 97 94 124 99 103 91 100 95 0.552383 0.9930 nonperiodic-templates 89 104 115 88 92 99 94 116 114 89 0.224821 0.9850 nonperiodic-templates 85 98 97 99 98 98 114 86 120 105 0.301194 0.9910 nonperiodic-templates 89 94 111 128 82 94 108 101 92 101 0.077607 0.9940 nonperiodic-templates 119 86 93 82 104 93 118 101 104 100 0.146982 0.9910 nonperiodic-templates 100 107 107 95 102 92 101 98 91 107 0.953089 0.9890 nonperiodic-templates 109 90 85 111 113 89 109 101 88 105 0.298282 0.9840 nonperiodic-templates 90 107 86 89 97 116 101 112 106 96 0.411840 0.9940 nonperiodic-templates 106 88 99 105 91 102 105 90 117 97 0.622546 0.9940 nonperiodic-templates 107 83 92 96 115 98 106 89 106 108 0.433590 0.9950 nonperiodic-templates 108 108 101 94 112 84 89 83 108 113 0.208837 0.9940 nonperiodic-templates 89 95 95 120 108 111 102 82 88 110 0.150340 0.9890 nonperiodic-templates 78 92 113 102 98 100 110 104 93 110 0.358641 0.9920 nonperiodic-templates 103 104 84 89 105 106 127 90 99 93 0.144504 0.9850 nonperiodic-templates 104 94 91 77 90 91 104 116 110 123 0.042255 0.9900 nonperiodic-templates 103 111 94 102 98 108 99 93 99 93 0.947308 0.9860 nonperiodic-templates 100 97 94 89 115 94 93 109 92 117 0.428095 0.9920 nonperiodic-templates 95 102 109 81 103 100 108 103 96 103 0.761719 0.9930 nonperiodic-templates 96 112 77 84 92 108 101 103 115 112 0.104993 0.9910 nonperiodic-templates 91 95 98 111 89 91 113 96 107 109 0.587274 0.9900 nonperiodic-templates 106 100 94 108 102 107 96 85 103 99 0.883171 0.9890 nonperiodic-templates 90 95 101 85 108 96 105 116 105 99 0.597620 0.9950 nonperiodic-templates 107 110 90 97 86 102 102 104 97 105 0.823725 0.9900 nonperiodic-templates 90 94 104 118 102 100 94 115 85 98 0.375313 0.9910 nonperiodic-templates 98 93 90 101 110 109 103 96 96 104 0.916599 0.9920 nonperiodic-templates 105 93 103 91 115 90 95 97 108 103 0.743915 0.9890 nonperiodic-templates 108 109 96 104 83 97 104 105 96 98 0.801865 0.9890 nonperiodic-templates 106 109 100 104 109 81 81 109 101 100 0.336111 0.9880 nonperiodic-templates 88 100 108 106 91 100 107 100 112 88 0.676615 0.9940 nonperiodic-templates 96 105 89 112 105 108 105 76 102 102 0.347257 0.9900 nonperiodic-templates 112 105 105 107 81 121 103 89 96 81 0.077607 0.9860 nonperiodic-templates 94 92 93 86 115 113 103 89 113 102 0.317565 0.9920 nonperiodic-templates 93 99 98 93 102 100 112 104 118 81 0.390721 0.9920 nonperiodic-templates 99 94 99 83 119 88 110 107 97 104 0.345650 0.9910 nonperiodic-templates 88 103 112 96 107 95 110 105 90 94 0.691081 0.9840 nonperiodic-templates 81 93 95 112 101 109 100 90 112 107 0.388990 0.9860 nonperiodic-templates 98 100 88 89 109 107 112 107 101 89 0.622546 0.9860 nonperiodic-templates 90 95 103 101 112 102 105 100 93 99 0.936823 0.9870 nonperiodic-templates 109 82 117 91 110 108 90 98 98 97 0.307077 0.9920 nonperiodic-templates 116 112 110 100 85 96 101 96 87 97 0.404728 0.9900 overlapping-templates 98 95 98 110 113 98 107 84 107 90 0.574903 0.9870 universal 114 93 93 92 104 96 111 112 87 98 0.506194 0.9870 apen 59 56 67 59 58 63 61 61 52 65 0.969946 0.9884 random-excursions 64 59 56 64 58 50 66 54 60 70 0.796580 0.9884 random-excursions 64 54 63 50 68 53 67 67 54 61 0.656200 0.9967 random-excursions 65 57 58 56 63 61 66 67 43 65 0.562932 0.9900 random-excursions 60 48 63 65 49 68 59 62 58 69 0.580051 0.9867 random-excursions 62 54 62 64 48 54 61 62 61 73 0.645795 0.9834 random-excursions 55 56 62 56 60 65 47 68 63 69 0.656200 0.9933 random-excursions 51 74 46 51 75 64 47 58 64 71 0.030636 0.9867 random-excursions 50 60 57 59 60 72 59 73 55 56 0.559523 0.9884 random-excursions-variant 54 50 61 59 57 67 70 63 59 61 0.824022 0.9900 random-excursions-variant 54 57 55 58 54 61 69 63 61 69 0.858275 0.9933 random-excursions-variant 51 62 53 59 60 59 58 56 77 66 0.532467 0.9917 random-excursions-variant 54 55 56 60 52 68 79 63 57 57 0.360012 0.9933 random-excursions-variant 57 54 50 60 69 65 66 61 55 64 0.790306 0.9917 random-excursions-variant 62 46 65 59 65 56 62 57 74 55 0.499295 0.9967 random-excursions-variant 51 64 66 53 55 66 68 56 58 64 0.767906 0.9917 random-excursions-variant 56 50 66 53 76 61 53 59 67 60 0.411542 0.9867 random-excursions-variant 61 49 61 67 67 59 55 68 56 58 0.787147 0.9900 random-excursions-variant 56 55 63 63 44 90 57 43 68 62 0.001790 0.9900 random-excursions-variant 61 53 63 55 61 70 55 59 59 65 0.914672 0.9900 random-excursions-variant 65 58 56 52 55 75 71 60 51 58 0.399734 0.9884 random-excursions-variant 60 62 66 52 49 59 55 62 70 66 0.687299 0.9884 random-excursions-variant 53 72 51 56 65 65 56 51 61 71 0.408571 0.9884 random-excursions-variant 57 61 65 61 50 61 69 46 67 64 0.535827 0.9900 random-excursions-variant 56 74 51 52 51 58 60 63 64 71 0.366918 0.9933 random-excursions-variant 55 62 58 56 60 54 62 69 62 62 0.965602 0.9933 random-excursions-variant 89 109 101 99 92 113 96 100 99 102 0.869278 0.9890 serial 110 75 99 107 98 91 113 101 109 97 0.262249 0.9880 serial 84 115 119 101 99 93 88 104 105 92 0.248014 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 0.977814 for a sample size = 600 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - -