------------------------------------------------------------------------------ RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE PROPORTION OF PASSING SEQUENCES ------------------------------------------------------------------------------ generator is ------------------------------------------------------------------------------ C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 P-VALUE PROPORTION STATISTICAL TEST ------------------------------------------------------------------------------ 78 105 103 103 110 115 95 102 99 90 0.365253 0.9880 Frequency 95 101 95 108 94 88 104 118 95 102 0.674543 0.9910 BlockFrequency 96 84 112 96 113 103 103 85 110 98 0.394195 0.9900 CumulativeSums 85 94 105 115 105 103 101 96 102 94 0.737915 0.9930 CumulativeSums 95 108 103 104 101 102 99 106 89 93 0.953089 0.9920 Runs 106 105 90 97 93 129 89 103 92 96 0.176657 0.9930 LongestRun 110 103 105 111 100 83 79 96 119 94 0.123038 0.9910 Rank 104 98 109 108 94 96 107 92 88 104 0.842937 0.9880 FFT 84 115 90 113 101 116 96 82 107 96 0.118120 0.9900 NonOverlappingTemplate 100 109 102 96 113 89 91 107 97 96 0.792508 0.9930 NonOverlappingTemplate 116 96 103 110 79 105 99 102 100 90 0.390721 0.9910 NonOverlappingTemplate 107 85 91 101 88 110 117 113 91 97 0.244236 0.9890 NonOverlappingTemplate 113 92 106 100 108 93 116 86 94 92 0.406499 0.9910 NonOverlappingTemplate 101 88 124 102 102 89 95 110 102 87 0.244236 0.9910 NonOverlappingTemplate 110 101 91 111 87 103 96 109 103 89 0.628790 0.9870 NonOverlappingTemplate 112 91 99 97 114 106 86 90 105 100 0.546283 0.9880 NonOverlappingTemplate 97 88 88 105 120 94 106 99 97 106 0.494392 0.9900 NonOverlappingTemplate 101 100 95 92 93 103 109 100 111 96 0.932333 0.9910 NonOverlappingTemplate 97 92 111 113 102 108 88 91 98 100 0.678686 0.9900 NonOverlappingTemplate 91 112 92 94 107 102 104 102 99 97 0.906069 0.9910 NonOverlappingTemplate 118 89 108 108 98 100 94 98 99 88 0.572847 0.9880 NonOverlappingTemplate 83 108 111 94 114 91 95 101 95 108 0.435430 0.9930 NonOverlappingTemplate 94 108 110 99 90 91 107 101 109 91 0.745908 0.9940 NonOverlappingTemplate 114 115 114 100 76 106 99 103 93 80 0.050629 0.9890 NonOverlappingTemplate 108 91 96 105 108 97 94 111 102 88 0.775337 0.9830 NonOverlappingTemplate 102 95 108 92 116 94 109 99 92 93 0.695200 0.9950 NonOverlappingTemplate 88 98 90 109 106 106 89 102 109 103 0.723804 0.9920 NonOverlappingTemplate 99 89 108 89 108 95 107 96 109 100 0.796268 0.9920 NonOverlappingTemplate 90 93 95 107 90 105 112 98 105 105 0.792508 0.9830 NonOverlappingTemplate 99 98 113 107 79 117 93 97 94 103 0.307077 0.9920 NonOverlappingTemplate 95 107 103 112 96 98 103 90 96 100 0.928857 0.9930 NonOverlappingTemplate 102 106 99 106 95 106 98 89 98 101 0.975644 0.9910 NonOverlappingTemplate 81 98 111 102 100 111 88 101 113 95 0.392456 0.9910 NonOverlappingTemplate 109 97 116 100 99 92 86 100 92 109 0.583145 0.9910 NonOverlappingTemplate 85 95 101 115 88 95 105 102 107 107 0.562591 0.9920 NonOverlappingTemplate 91 111 99 107 107 100 84 105 88 108 0.544254 0.9870 NonOverlappingTemplate 86 92 106 118 107 104 95 98 101 93 0.570792 0.9910 NonOverlappingTemplate 100 111 107 95 97 105 107 106 89 83 0.612147 0.9900 NonOverlappingTemplate 91 92 101 111 119 100 107 89 92 98 0.469232 0.9970 NonOverlappingTemplate 87 99 100 92 109 103 91 109 87 123 0.222480 0.9940 NonOverlappingTemplate 103 100 91 91 106 109 92 97 113 98 0.803720 0.9890 NonOverlappingTemplate 95 95 105 111 99 102 96 96 93 108 0.943242 0.9850 NonOverlappingTemplate 102 95 85 97 90 109 114 124 82 102 0.079538 0.9930 NonOverlappingTemplate 99 98 97 116 99 92 113 102 84 100 0.570792 0.9870 NonOverlappingTemplate 104 85 101 109 96 105 86 90 105 119 0.314544 0.9900 NonOverlappingTemplate 95 100 104 99 96 100 87 119 97 103 0.733899 0.9890 NonOverlappingTemplate 119 102 93 91 90 99 118 100 101 87 0.282626 0.9840 NonOverlappingTemplate 109 109 106 97 83 105 98 92 100 101 0.749884 0.9910 NonOverlappingTemplate 115 99 100 114 96 99 92 93 94 98 0.747898 0.9810 * NonOverlappingTemplate 103 97 97 109 109 102 93 105 95 90 0.916599 0.9880 NonOverlappingTemplate 114 96 96 108 103 108 92 85 95 103 0.649612 0.9810 * NonOverlappingTemplate 106 96 104 98 95 103 88 109 111 90 0.786830 0.9860 NonOverlappingTemplate 113 84 102 107 103 96 92 107 103 93 0.664168 0.9890 NonOverlappingTemplate 108 106 118 94 90 89 86 97 109 103 0.370262 0.9930 NonOverlappingTemplate 105 120 98 95 89 117 101 77 83 115 0.024521 0.9950 NonOverlappingTemplate 97 90 95 101 98 113 98 108 106 94 0.877083 0.9920 NonOverlappingTemplate 97 94 102 92 101 87 106 100 109 112 0.794391 0.9930 NonOverlappingTemplate 104 111 116 104 90 106 101 84 90 94 0.402962 0.9940 NonOverlappingTemplate 115 102 108 86 106 78 94 107 94 110 0.196920 0.9930 NonOverlappingTemplate 96 99 80 99 124 97 106 85 92 122 0.033807 0.9900 NonOverlappingTemplate 114 91 84 99 82 108 104 105 94 119 0.137282 0.9820 NonOverlappingTemplate 98 97 101 90 100 104 97 117 91 105 0.803720 0.9840 NonOverlappingTemplate 120 99 90 99 81 110 99 98 117 87 0.113372 0.9860 NonOverlappingTemplate 105 97 94 107 96 110 107 87 111 86 0.564639 0.9920 NonOverlappingTemplate 110 104 99 96 83 94 95 98 119 102 0.482707 0.9900 NonOverlappingTemplate 90 93 101 98 98 104 104 91 111 110 0.841226 0.9930 NonOverlappingTemplate 92 109 97 117 90 109 92 102 97 95 0.610070 0.9910 NonOverlappingTemplate 104 96 101 93 102 103 95 104 109 93 0.976266 0.9890 NonOverlappingTemplate 104 112 85 100 105 94 98 95 101 106 0.823725 0.9900 NonOverlappingTemplate 97 87 97 93 97 96 121 97 116 99 0.377007 0.9840 NonOverlappingTemplate 97 103 113 105 82 107 117 87 102 87 0.204439 0.9890 NonOverlappingTemplate 108 92 102 107 100 111 90 89 91 110 0.632955 0.9860 NonOverlappingTemplate 88 108 93 120 106 78 99 101 95 112 0.142062 0.9870 NonOverlappingTemplate 100 119 104 105 86 90 102 90 107 97 0.474986 0.9890 NonOverlappingTemplate 116 99 96 92 94 102 95 115 108 83 0.366918 0.9890 NonOverlappingTemplate 100 85 101 108 119 101 92 94 97 103 0.564639 0.9910 NonOverlappingTemplate 95 97 116 98 85 92 109 100 101 107 0.622546 0.9890 NonOverlappingTemplate 96 102 98 95 100 99 87 111 104 108 0.897763 0.9870 NonOverlappingTemplate 88 99 110 103 80 120 93 99 110 98 0.208837 0.9920 NonOverlappingTemplate 90 95 113 98 105 94 92 103 98 112 0.759756 0.9920 NonOverlappingTemplate 98 107 105 98 100 87 106 94 97 108 0.914025 0.9900 NonOverlappingTemplate 98 104 100 96 101 87 105 100 111 98 0.937919 0.9900 NonOverlappingTemplate 84 115 90 113 101 115 98 82 106 96 0.138860 0.9900 NonOverlappingTemplate 113 108 93 85 86 107 104 100 86 118 0.168112 0.9890 NonOverlappingTemplate 79 92 111 117 105 102 96 85 113 100 0.139655 0.9950 NonOverlappingTemplate 82 107 116 80 95 104 100 104 102 110 0.219006 0.9900 NonOverlappingTemplate 113 88 109 111 93 101 108 90 88 99 0.461612 0.9820 NonOverlappingTemplate 114 93 99 94 94 100 87 108 103 108 0.715679 0.9860 NonOverlappingTemplate 112 85 105 111 99 102 100 94 98 94 0.743915 0.9920 NonOverlappingTemplate 111 104 97 110 98 99 108 85 103 85 0.560545 0.9880 NonOverlappingTemplate 107 98 98 114 109 91 98 94 98 93 0.827279 0.9890 NonOverlappingTemplate 97 87 97 91 89 119 89 98 103 130 0.037076 0.9960 NonOverlappingTemplate 94 88 90 106 106 105 108 89 103 111 0.645448 0.9910 NonOverlappingTemplate 110 106 89 100 83 103 98 102 107 102 0.723804 0.9900 NonOverlappingTemplate 110 94 111 106 85 88 92 104 119 91 0.222480 0.9900 NonOverlappingTemplate 89 87 121 99 117 114 85 99 93 96 0.088762 0.9900 NonOverlappingTemplate 100 102 104 108 102 113 82 104 100 85 0.512137 0.9920 NonOverlappingTemplate 105 105 94 97 98 91 114 106 90 100 0.823725 0.9880 NonOverlappingTemplate 107 104 111 97 107 83 98 98 97 98 0.784927 0.9860 NonOverlappingTemplate 105 113 102 103 99 75 92 107 89 115 0.166260 0.9900 NonOverlappingTemplate 94 89 113 94 94 105 115 89 92 115 0.305599 0.9860 NonOverlappingTemplate 92 101 83 105 91 113 90 102 106 117 0.305599 0.9910 NonOverlappingTemplate 101 99 87 91 91 102 97 116 105 111 0.587274 0.9910 NonOverlappingTemplate 103 105 87 110 97 89 91 130 89 99 0.081510 0.9930 NonOverlappingTemplate 98 99 109 99 100 90 103 99 105 98 0.986658 0.9820 NonOverlappingTemplate 101 90 108 91 100 96 103 107 99 105 0.943242 0.9960 NonOverlappingTemplate 85 97 94 92 125 87 100 109 97 114 0.117432 0.9930 NonOverlappingTemplate 115 99 88 101 116 102 97 84 90 108 0.304126 0.9910 NonOverlappingTemplate 92 112 102 97 82 97 94 104 104 116 0.457825 0.9900 NonOverlappingTemplate 84 95 107 117 85 105 103 105 104 95 0.397688 0.9880 NonOverlappingTemplate 115 102 102 95 108 108 96 97 82 95 0.574903 0.9950 NonOverlappingTemplate 101 99 111 120 99 82 81 89 109 109 0.093157 0.9850 NonOverlappingTemplate 109 87 104 108 89 115 90 94 108 96 0.444691 0.9820 NonOverlappingTemplate 110 86 90 113 103 101 97 94 107 99 0.668321 0.9880 NonOverlappingTemplate 103 82 112 92 106 98 114 103 90 100 0.450297 0.9910 NonOverlappingTemplate 97 100 97 96 101 114 95 109 97 94 0.922855 0.9890 NonOverlappingTemplate 119 96 98 96 122 100 99 89 81 100 0.135720 0.9870 NonOverlappingTemplate 93 95 89 107 99 99 122 99 91 106 0.486588 0.9930 NonOverlappingTemplate 107 84 104 83 99 108 115 106 97 97 0.388990 0.9920 NonOverlappingTemplate 91 107 104 94 98 126 88 89 101 102 0.254411 0.9900 NonOverlappingTemplate 93 116 100 89 102 113 94 92 87 114 0.301194 0.9940 NonOverlappingTemplate 110 116 109 87 88 90 103 102 93 102 0.422638 0.9840 NonOverlappingTemplate 90 103 100 108 102 117 90 99 99 92 0.707513 0.9840 NonOverlappingTemplate 100 102 99 102 95 100 106 109 100 87 0.955835 0.9860 NonOverlappingTemplate 108 98 106 84 96 95 100 103 107 103 0.861264 0.9880 NonOverlappingTemplate 103 89 95 95 106 109 95 101 107 100 0.928857 0.9880 NonOverlappingTemplate 113 88 100 101 93 91 100 86 125 103 0.174728 0.9880 NonOverlappingTemplate 86 91 115 88 98 99 101 110 107 105 0.508172 0.9890 NonOverlappingTemplate 106 93 96 98 91 117 98 104 105 92 0.755819 0.9900 NonOverlappingTemplate 94 93 109 106 97 105 92 102 94 108 0.908760 0.9900 NonOverlappingTemplate 111 91 91 93 120 94 99 85 90 126 0.038818 0.9850 NonOverlappingTemplate 90 107 105 120 91 92 111 90 94 100 0.370262 0.9950 NonOverlappingTemplate 107 89 96 97 104 94 120 94 107 92 0.538182 0.9920 NonOverlappingTemplate 104 99 110 89 103 90 85 109 106 105 0.622546 0.9950 NonOverlappingTemplate 86 84 124 98 105 95 93 107 89 119 0.055010 0.9930 NonOverlappingTemplate 95 99 101 105 102 102 105 98 101 92 0.996839 0.9950 NonOverlappingTemplate 97 123 104 108 99 105 103 81 97 83 0.157251 0.9900 NonOverlappingTemplate 86 103 101 99 111 107 86 99 94 114 0.528111 0.9870 NonOverlappingTemplate 104 91 90 95 102 90 101 92 111 124 0.284024 0.9940 NonOverlappingTemplate 121 105 94 105 97 89 92 96 100 101 0.597620 0.9890 NonOverlappingTemplate 126 87 102 88 117 97 98 96 99 90 0.118120 0.9840 NonOverlappingTemplate 107 89 101 102 113 104 110 77 107 90 0.250558 0.9850 NonOverlappingTemplate 106 105 91 98 117 105 96 103 81 98 0.484646 0.9890 NonOverlappingTemplate 112 92 110 104 95 109 107 96 96 79 0.390721 0.9890 NonOverlappingTemplate 102 100 103 100 88 104 106 96 110 91 0.907419 0.9910 NonOverlappingTemplate 100 105 108 88 113 101 102 114 99 70 0.089843 0.9910 NonOverlappingTemplate 104 97 102 95 98 112 106 93 113 80 0.478839 0.9920 NonOverlappingTemplate 119 81 107 107 99 75 109 103 104 96 0.073872 0.9840 NonOverlappingTemplate 120 102 99 86 92 106 97 98 107 93 0.522100 0.9820 NonOverlappingTemplate 99 92 93 108 101 96 107 104 101 99 0.977480 0.9930 NonOverlappingTemplate 97 102 96 101 92 100 115 95 96 106 0.914025 0.9910 NonOverlappingTemplate 87 85 100 111 111 111 100 105 101 89 0.433590 0.9960 NonOverlappingTemplate 107 102 85 114 104 114 103 101 87 83 0.240501 0.9930 NonOverlappingTemplate 84 103 126 102 94 94 108 104 86 99 0.165340 0.9950 NonOverlappingTemplate 101 112 100 115 95 109 96 83 100 89 0.435430 0.9880 NonOverlappingTemplate 98 104 100 96 101 87 105 100 111 98 0.937919 0.9900 NonOverlappingTemplate 108 109 88 93 112 84 103 107 95 101 0.512137 0.9850 OverlappingTemplate 122 99 99 103 109 92 98 85 98 95 0.439122 0.9860 Universal 98 94 101 97 105 108 98 93 103 103 0.989786 0.9850 ApproximateEntropy 71 72 68 63 56 62 54 61 58 64 0.791778 0.9921 RandomExcursions 73 66 81 59 52 54 59 61 55 69 0.183321 0.9889 RandomExcursions 64 74 58 65 71 58 59 63 49 68 0.552120 0.9936 RandomExcursions 68 59 68 65 62 65 64 58 56 64 0.979098 0.9968 RandomExcursions 78 59 55 57 58 62 75 69 49 67 0.193194 0.9905 RandomExcursions 69 60 58 68 83 61 54 55 57 64 0.268049 0.9889 RandomExcursions 59 71 64 56 66 55 62 51 70 75 0.450780 0.9905 RandomExcursions 79 60 62 70 54 59 81 52 52 60 0.065878 0.9889 RandomExcursions 67 54 46 59 78 75 54 63 58 75 0.055418 0.9905 RandomExcursionsVariant 67 53 54 49 80 71 65 57 76 57 0.064561 0.9889 RandomExcursionsVariant 67 53 50 60 67 79 71 57 71 54 0.153346 0.9857 RandomExcursionsVariant 67 57 47 73 64 72 51 69 68 61 0.249079 0.9889 RandomExcursionsVariant 68 54 71 69 57 54 69 73 52 62 0.392456 0.9873 RandomExcursionsVariant 72 65 54 59 77 63 48 69 67 55 0.229212 0.9889 RandomExcursionsVariant 63 68 60 66 63 71 53 65 61 59 0.920704 0.9905 RandomExcursionsVariant 47 79 66 57 62 64 63 61 64 66 0.403759 0.9889 RandomExcursionsVariant 56 70 56 65 51 62 61 74 64 70 0.561997 0.9952 RandomExcursionsVariant 52 62 73 58 61 58 74 71 64 56 0.497237 0.9921 RandomExcursionsVariant 60 75 60 46 62 60 56 71 59 80 0.111834 0.9952 RandomExcursionsVariant 69 54 66 78 51 67 47 72 51 74 0.034249 0.9921 RandomExcursionsVariant 63 61 63 62 75 46 82 62 61 54 0.108687 0.9921 RandomExcursionsVariant 61 55 65 68 60 64 69 60 65 62 0.976227 0.9921 RandomExcursionsVariant 64 55 66 84 49 48 65 67 56 75 0.028232 0.9921 RandomExcursionsVariant 64 63 65 71 50 64 52 73 58 69 0.481520 0.9921 RandomExcursionsVariant 62 62 71 59 50 63 74 56 62 70 0.561997 0.9936 RandomExcursionsVariant 59 68 63 63 56 61 59 68 61 71 0.946145 0.9921 RandomExcursionsVariant 107 96 97 115 90 89 110 117 84 95 0.219006 0.9880 Serial 107 93 112 124 99 99 107 84 90 85 0.105618 0.9900 Serial 108 100 87 101 98 103 114 105 96 88 0.711601 0.9890 LinearComplexity - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - The minimum pass rate for each statistical test with the exception of the random excursion (variant) test is approximately = 0.981819 for a sample size = 1000 binary sequences. The minimum pass rate for the random excursion (variant) test is approximately 0.979685 for a sample size = 629 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -