------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 73 91 117 115 102 96 103 93 91 119 0.030399 0.9970 Frequency 91 94 103 103 87 117 93 94 113 105 0.463512 0.9910 BlockFrequency 76 74 116 109 109 105 102 111 89 109 0.016602 0.9970 CumulativeSums 70 99 91 96 125 116 105 110 100 88 0.010681 0.9940 CumulativeSums 94 117 92 103 105 118 110 81 85 95 0.103138 0.9950 Runs 95 114 114 100 101 83 99 107 101 86 0.388990 0.9910 LongestRun 115 102 98 94 104 88 100 102 109 88 0.680755 0.9800 * Rank 464 130 104 80 50 39 39 34 33 27 0.000000 * 0.8330 * FFT 84 106 91 100 115 94 109 103 107 91 0.480771 0.9930 NonOverlappingTemplate 88 124 93 95 96 93 103 100 93 115 0.248014 0.9920 NonOverlappingTemplate 81 102 97 86 108 104 105 96 118 103 0.331408 0.9910 NonOverlappingTemplate 109 95 94 89 108 85 104 88 109 119 0.240501 0.9940 NonOverlappingTemplate 85 108 94 99 112 99 98 93 110 102 0.711601 0.9870 NonOverlappingTemplate 89 97 97 97 101 93 109 100 108 109 0.894918 0.9910 NonOverlappingTemplate 97 98 98 108 91 96 110 107 103 92 0.911413 0.9900 NonOverlappingTemplate 111 108 101 96 99 97 90 80 92 126 0.104993 0.9920 NonOverlappingTemplate 108 108 102 101 72 105 98 110 94 102 0.285427 0.9860 NonOverlappingTemplate 81 100 111 118 84 95 112 100 100 99 0.195864 0.9940 NonOverlappingTemplate 88 107 91 102 101 88 124 91 119 89 0.075254 0.9910 NonOverlappingTemplate 91 112 92 90 92 117 101 107 98 100 0.538182 0.9930 NonOverlappingTemplate 87 96 104 75 104 113 100 104 117 100 0.155499 0.9950 NonOverlappingTemplate 109 70 90 102 114 90 102 110 108 105 0.072514 0.9850 NonOverlappingTemplate 100 82 121 118 110 87 89 96 90 107 0.058243 0.9950 NonOverlappingTemplate 98 96 90 111 114 104 98 88 99 102 0.733899 0.9880 NonOverlappingTemplate 96 90 114 97 92 112 78 107 102 112 0.207730 0.9930 NonOverlappingTemplate 101 112 111 89 84 89 105 107 104 98 0.476911 0.9910 NonOverlappingTemplate 91 93 103 108 100 109 110 96 89 101 0.814724 0.9890 NonOverlappingTemplate 107 92 114 92 92 102 123 86 93 99 0.204439 0.9900 NonOverlappingTemplate 102 90 112 108 89 94 98 99 106 102 0.821937 0.9860 NonOverlappingTemplate 93 98 99 109 98 97 100 97 113 96 0.945296 0.9850 NonOverlappingTemplate 97 94 95 103 95 101 94 116 95 110 0.814724 0.9850 NonOverlappingTemplate 95 106 89 100 116 95 103 95 97 104 0.814724 0.9930 NonOverlappingTemplate 86 104 91 107 95 115 88 106 101 107 0.512137 0.9860 NonOverlappingTemplate 99 101 114 110 80 97 91 114 103 91 0.293952 0.9920 NonOverlappingTemplate 108 103 91 98 85 88 109 103 109 106 0.601766 0.9910 NonOverlappingTemplate 97 96 114 104 86 104 94 108 97 100 0.781106 0.9850 NonOverlappingTemplate 90 91 108 103 92 92 114 122 93 95 0.251837 0.9900 NonOverlappingTemplate 90 92 112 103 85 112 101 92 103 110 0.474986 0.9940 NonOverlappingTemplate 90 102 107 95 98 110 114 115 81 88 0.208837 0.9910 NonOverlappingTemplate 110 96 117 116 112 84 104 83 96 82 0.047785 0.9920 NonOverlappingTemplate 93 108 95 77 119 99 98 99 87 125 0.032061 0.9880 NonOverlappingTemplate 102 101 99 104 98 105 112 95 87 97 0.912724 0.9930 NonOverlappingTemplate 90 104 91 98 84 117 107 102 108 99 0.471146 0.9950 NonOverlappingTemplate 81 94 109 108 108 96 101 97 106 100 0.670396 0.9910 NonOverlappingTemplate 98 109 99 119 79 108 95 103 93 97 0.316052 0.9910 NonOverlappingTemplate 88 99 111 92 109 89 107 107 104 94 0.655854 0.9910 NonOverlappingTemplate 97 98 80 106 105 90 101 114 108 101 0.498313 0.9910 NonOverlappingTemplate 101 92 120 101 102 104 100 87 95 98 0.653773 0.9920 NonOverlappingTemplate 115 108 88 83 115 94 95 99 97 106 0.308561 0.9860 NonOverlappingTemplate 100 109 89 105 87 116 102 110 88 94 0.404728 0.9940 NonOverlappingTemplate 96 104 115 113 87 106 89 98 90 102 0.474986 0.9880 NonOverlappingTemplate 109 101 111 84 109 103 92 102 94 95 0.660012 0.9940 NonOverlappingTemplate 100 121 102 118 84 107 82 99 94 93 0.095426 0.9910 NonOverlappingTemplate 97 102 95 110 111 90 103 99 91 102 0.872425 0.9900 NonOverlappingTemplate 88 104 118 94 104 110 91 92 91 108 0.413628 0.9910 NonOverlappingTemplate 105 92 106 108 112 107 105 86 98 81 0.377007 0.9930 NonOverlappingTemplate 119 94 100 105 90 90 108 87 108 99 0.419021 0.9900 NonOverlappingTemplate 99 106 94 104 94 83 101 99 112 108 0.715679 0.9890 NonOverlappingTemplate 98 93 107 99 96 89 110 107 100 101 0.917870 0.9870 NonOverlappingTemplate 75 101 91 104 97 107 112 113 111 89 0.146982 0.9900 NonOverlappingTemplate 93 100 100 98 106 103 101 102 95 102 0.998275 0.9910 NonOverlappingTemplate 97 98 110 105 100 101 108 98 78 105 0.620465 0.9880 NonOverlappingTemplate 85 109 91 115 100 108 85 99 102 106 0.399442 0.9880 NonOverlappingTemplate 105 97 99 96 96 94 103 103 98 109 0.990483 0.9920 NonOverlappingTemplate 85 112 114 93 92 103 118 96 92 95 0.264901 0.9920 NonOverlappingTemplate 102 91 96 88 99 94 108 120 101 101 0.587274 0.9840 NonOverlappingTemplate 115 100 105 84 100 91 95 96 98 116 0.448424 0.9880 NonOverlappingTemplate 91 96 99 95 106 105 113 94 107 94 0.856359 0.9910 NonOverlappingTemplate 93 89 92 97 115 99 94 108 99 114 0.568739 0.9940 NonOverlappingTemplate 112 85 105 98 118 99 94 99 96 94 0.522100 0.9920 NonOverlappingTemplate 87 103 97 100 99 103 94 117 116 84 0.323668 0.9890 NonOverlappingTemplate 99 99 81 107 95 95 115 102 107 100 0.595549 0.9910 NonOverlappingTemplate 115 106 82 103 99 102 86 93 113 101 0.339271 0.9900 NonOverlappingTemplate 96 90 103 102 90 104 115 103 105 92 0.771469 0.9900 NonOverlappingTemplate 97 87 102 102 95 121 104 101 108 83 0.332970 0.9890 NonOverlappingTemplate 93 97 98 95 106 91 111 102 102 105 0.936823 0.9840 NonOverlappingTemplate 98 87 103 107 100 95 96 99 98 117 0.773405 0.9860 NonOverlappingTemplate 113 90 99 109 116 86 98 94 106 89 0.350485 0.9910 NonOverlappingTemplate 117 92 106 85 85 96 94 116 109 100 0.197981 0.9920 NonOverlappingTemplate 99 106 87 88 94 93 120 105 112 96 0.334538 0.9930 NonOverlappingTemplate 115 114 102 90 90 101 99 109 72 108 0.076658 0.9960 NonOverlappingTemplate 81 113 101 100 102 104 101 100 102 96 0.767582 0.9960 NonOverlappingTemplate 84 106 90 101 117 92 109 103 108 90 0.350485 0.9930 NonOverlappingTemplate 107 109 93 110 98 95 106 98 94 90 0.848027 0.9910 NonOverlappingTemplate 114 103 98 79 112 81 111 97 104 101 0.161703 0.9890 NonOverlappingTemplate 104 108 99 104 99 86 109 94 88 109 0.703417 0.9880 NonOverlappingTemplate 104 103 99 116 102 88 101 84 100 103 0.641284 0.9890 NonOverlappingTemplate 95 88 118 96 98 85 97 117 103 103 0.308561 0.9870 NonOverlappingTemplate 85 110 82 101 108 110 100 99 110 95 0.401199 0.9860 NonOverlappingTemplate 89 107 94 104 118 90 103 119 84 92 0.146982 0.9900 NonOverlappingTemplate 109 87 85 103 118 93 107 88 106 104 0.274341 0.9930 NonOverlappingTemplate 108 104 110 93 104 97 88 93 101 102 0.873987 0.9930 NonOverlappingTemplate 112 89 91 92 88 88 123 107 95 115 0.084037 0.9900 NonOverlappingTemplate 95 107 87 96 103 117 93 102 98 102 0.721777 0.9910 NonOverlappingTemplate 102 100 97 105 87 120 101 100 103 85 0.492436 0.9920 NonOverlappingTemplate 89 103 103 93 84 97 98 122 100 111 0.302657 0.9870 NonOverlappingTemplate 98 92 103 83 95 105 112 100 107 105 0.705466 0.9890 NonOverlappingTemplate 122 99 88 85 99 99 91 102 105 110 0.299736 0.9890 NonOverlappingTemplate 107 98 99 98 91 92 96 117 102 100 0.823725 0.9890 NonOverlappingTemplate 95 93 106 109 104 113 96 99 93 92 0.829047 0.9920 NonOverlappingTemplate 98 95 94 101 95 112 108 105 92 100 0.919131 0.9870 NonOverlappingTemplate 98 103 88 100 100 95 102 108 103 103 0.975644 0.9940 NonOverlappingTemplate 92 90 102 108 114 112 87 96 107 92 0.465415 0.9890 NonOverlappingTemplate 96 86 106 109 121 107 89 88 110 88 0.150340 0.9920 NonOverlappingTemplate 83 92 99 106 90 112 84 125 110 99 0.063615 0.9920 NonOverlappingTemplate 91 102 111 96 108 81 80 113 121 97 0.054314 0.9870 NonOverlappingTemplate 95 93 90 102 108 96 111 103 101 101 0.917870 0.9860 NonOverlappingTemplate 127 99 86 99 88 93 111 91 104 102 0.144504 0.9870 NonOverlappingTemplate 101 99 111 115 90 94 123 86 97 84 0.098330 0.9960 NonOverlappingTemplate 106 102 100 104 91 91 114 95 94 103 0.848027 0.9870 NonOverlappingTemplate 101 96 107 100 101 108 101 99 99 88 0.972382 0.9840 NonOverlappingTemplate 108 121 88 106 107 94 88 92 105 91 0.286836 0.9930 NonOverlappingTemplate 98 115 119 92 101 101 99 105 94 76 0.165340 0.9870 NonOverlappingTemplate 103 105 94 101 102 114 95 97 88 101 0.875539 0.9900 NonOverlappingTemplate 100 93 97 90 97 115 119 76 96 117 0.060112 0.9930 NonOverlappingTemplate 110 93 108 103 102 94 86 95 124 85 0.169981 0.9890 NonOverlappingTemplate 94 112 102 108 106 89 83 108 103 95 0.542228 0.9930 NonOverlappingTemplate 96 90 93 92 119 110 76 108 111 105 0.097743 0.9910 NonOverlappingTemplate 97 89 107 100 106 92 108 84 117 100 0.448424 0.9900 NonOverlappingTemplate 101 113 91 92 112 97 95 96 110 93 0.680755 0.9970 NonOverlappingTemplate 86 99 107 96 101 89 101 113 112 96 0.622546 0.9910 NonOverlappingTemplate 90 111 95 79 101 93 107 116 107 101 0.281232 0.9940 NonOverlappingTemplate 111 104 90 97 101 101 99 102 100 95 0.972382 0.9840 NonOverlappingTemplate 110 112 108 87 100 89 94 106 86 108 0.410055 0.9940 NonOverlappingTemplate 100 108 104 108 117 97 89 104 84 89 0.387264 0.9860 NonOverlappingTemplate 93 101 89 108 102 95 94 122 105 91 0.446556 0.9940 NonOverlappingTemplate 86 102 93 110 94 89 101 118 100 107 0.455937 0.9940 NonOverlappingTemplate 78 107 102 98 87 105 110 110 100 103 0.397688 0.9910 NonOverlappingTemplate 101 101 96 100 110 110 101 103 88 90 0.858002 0.9830 NonOverlappingTemplate 102 86 97 89 95 102 106 100 115 108 0.653773 0.9940 NonOverlappingTemplate 102 100 109 91 102 96 107 104 105 84 0.805569 0.9900 NonOverlappingTemplate 92 101 91 115 86 88 107 106 112 102 0.397688 0.9900 NonOverlappingTemplate 84 119 94 113 98 102 97 86 100 107 0.286836 0.9910 NonOverlappingTemplate 107 91 94 86 95 101 101 111 102 112 0.680755 0.9890 NonOverlappingTemplate 103 90 91 92 107 99 120 101 104 93 0.564639 0.9900 NonOverlappingTemplate 96 105 106 101 105 103 86 91 103 104 0.901959 0.9890 NonOverlappingTemplate 106 91 110 103 91 103 108 108 74 106 0.239266 0.9880 NonOverlappingTemplate 94 96 93 94 119 110 99 86 106 103 0.494392 0.9920 NonOverlappingTemplate 111 102 111 91 90 110 92 93 104 96 0.666245 0.9910 NonOverlappingTemplate 93 110 97 95 95 89 97 104 102 118 0.655854 0.9900 NonOverlappingTemplate 98 108 101 100 103 102 94 95 96 103 0.995578 0.9890 NonOverlappingTemplate 101 91 102 135 87 92 97 106 99 90 0.050305 0.9910 NonOverlappingTemplate 92 95 103 94 95 103 85 114 104 115 0.504219 0.9900 NonOverlappingTemplate 81 92 91 87 98 110 113 113 111 104 0.184549 0.9960 NonOverlappingTemplate 97 108 86 99 112 96 104 95 103 100 0.851383 0.9900 NonOverlappingTemplate 94 104 92 93 92 96 119 107 122 81 0.090936 0.9920 NonOverlappingTemplate 84 111 109 96 91 94 113 109 102 91 0.413628 0.9960 NonOverlappingTemplate 112 114 90 92 73 119 113 99 105 83 0.013664 0.9830 NonOverlappingTemplate 113 99 94 105 107 89 80 88 111 114 0.180568 0.9900 NonOverlappingTemplate 97 108 85 102 94 109 100 84 105 116 0.387264 0.9910 NonOverlappingTemplate 99 99 91 97 93 100 94 107 112 108 0.887645 0.9920 NonOverlappingTemplate 102 101 84 101 100 103 115 111 101 82 0.399442 0.9840 NonOverlappingTemplate 102 80 117 102 88 94 103 97 115 102 0.259616 0.9890 NonOverlappingTemplate 90 94 103 86 91 105 97 127 108 99 0.186566 0.9940 NonOverlappingTemplate 92 111 101 85 108 100 98 95 93 117 0.492436 0.9940 NonOverlappingTemplate 80 114 102 99 102 104 101 100 101 97 0.707513 0.9960 NonOverlappingTemplate 108 101 109 82 101 84 105 87 113 110 0.219006 0.9900 OverlappingTemplate 96 105 99 103 98 98 112 95 99 95 0.979788 0.9840 Universal 90 85 106 120 97 103 103 103 93 100 0.488534 0.9950 ApproximateEntropy 64 60 69 63 56 56 66 53 61 62 0.937166 0.9754 * RandomExcursions 61 58 64 60 60 56 70 60 61 60 0.989815 0.9836 RandomExcursions 46 70 46 74 53 69 59 72 66 55 0.054959 0.9918 RandomExcursions 47 64 66 68 65 61 70 53 63 53 0.501472 0.9951 RandomExcursions 59 68 56 55 65 73 47 62 72 53 0.292942 0.9869 RandomExcursions 69 70 61 47 61 55 83 56 51 57 0.058497 0.9836 RandomExcursions 64 56 66 66 50 60 59 59 56 74 0.669512 0.9902 RandomExcursions 58 53 66 67 48 65 65 61 54 73 0.469640 0.9902 RandomExcursions 57 61 66 59 62 59 56 67 58 65 0.987297 0.9934 RandomExcursionsVariant 47 73 60 60 64 66 61 57 67 55 0.574229 0.9918 RandomExcursionsVariant 51 67 57 72 66 50 73 51 60 63 0.279095 0.9951 RandomExcursionsVariant 52 65 53 78 68 62 47 54 65 66 0.167868 0.9951 RandomExcursionsVariant 52 55 62 82 59 67 62 49 55 67 0.146274 0.9902 RandomExcursionsVariant 53 52 64 64 55 63 72 67 64 56 0.693243 0.9934 RandomExcursionsVariant 59 49 49 64 62 61 48 77 65 76 0.069671 0.9918 RandomExcursionsVariant 46 54 67 70 62 61 57 59 71 63 0.488630 0.9967 RandomExcursionsVariant 50 51 77 64 70 60 54 59 57 68 0.259230 0.9869 RandomExcursionsVariant 66 54 61 46 70 63 66 64 53 67 0.485442 0.9869 RandomExcursionsVariant 63 60 60 72 59 49 61 70 63 53 0.642240 0.9918 RandomExcursionsVariant 57 70 69 54 72 39 65 73 49 62 0.031213 0.9934 RandomExcursionsVariant 62 49 72 63 57 72 54 58 61 62 0.570860 0.9918 RandomExcursionsVariant 51 54 61 65 57 85 74 49 65 49 0.016927 0.9902 RandomExcursionsVariant 53 58 62 64 57 72 81 68 49 46 0.048460 0.9934 RandomExcursionsVariant 55 58 73 55 59 72 56 67 58 57 0.621761 0.9934 RandomExcursionsVariant 58 55 68 67 61 60 62 61 60 58 0.985160 0.9885 RandomExcursionsVariant 59 57 66 63 67 56 57 67 49 69 0.733338 0.9918 RandomExcursionsVariant 104 96 103 89 97 82 90 98 108 133 0.041169 0.9920 Serial 107 87 103 90 97 89 107 106 120 94 0.368587 0.9930 Serial 98 109 91 107 93 86 102 107 98 109 0.741918 0.9920 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 0.979526 for a sample size = 610 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -