------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 93 95 77 108 100 82 110 113 104 118 0.066882 987/1000 Frequency 93 96 96 91 102 108 105 102 98 109 0.944274 988/1000 BlockFrequency 81 108 92 113 82 94 94 116 103 117 0.065230 991/1000 CumulativeSums 89 102 82 84 87 100 113 127 92 124 0.004116 989/1000 CumulativeSums 84 108 101 100 99 112 110 82 113 91 0.249284 987/1000 Runs 102 100 102 99 85 121 104 98 93 96 0.574903 995/1000 LongestRun 101 103 99 97 84 89 92 130 100 105 0.127393 985/1000 Rank 108 120 81 98 93 95 112 99 100 94 0.286836 988/1000 FFT 88 103 90 106 90 87 94 117 96 129 0.042808 994/1000 NonOverlappingTemplate 112 117 103 99 77 100 103 97 90 102 0.279844 991/1000 NonOverlappingTemplate 99 99 95 94 98 108 109 86 104 108 0.844641 989/1000 NonOverlappingTemplate 98 101 101 83 106 110 88 99 111 103 0.630872 990/1000 NonOverlappingTemplate 100 95 81 111 107 86 91 115 110 104 0.228367 989/1000 NonOverlappingTemplate 101 90 102 102 100 106 94 105 102 98 0.989055 987/1000 NonOverlappingTemplate 83 104 81 105 100 98 105 123 108 93 0.136499 996/1000 NonOverlappingTemplate 112 95 100 114 95 112 100 71 91 110 0.076658 989/1000 NonOverlappingTemplate 115 111 105 94 90 109 92 83 106 95 0.348869 992/1000 NonOverlappingTemplate 109 79 98 103 117 98 89 101 112 94 0.255705 992/1000 NonOverlappingTemplate 108 89 111 105 97 122 95 92 89 92 0.277082 986/1000 NonOverlappingTemplate 102 87 104 109 101 91 96 102 102 106 0.903338 993/1000 NonOverlappingTemplate 114 84 105 103 94 82 109 96 107 106 0.328297 988/1000 NonOverlappingTemplate 96 77 116 102 110 98 94 102 87 118 0.108150 989/1000 NonOverlappingTemplate 120 79 91 87 94 127 102 113 94 93 0.012043 982/1000 NonOverlappingTemplate 93 101 111 109 104 100 91 97 90 104 0.856359 988/1000 NonOverlappingTemplate 104 111 103 107 101 92 110 84 97 91 0.630872 992/1000 NonOverlappingTemplate 101 89 106 96 93 111 108 91 108 97 0.777265 987/1000 NonOverlappingTemplate 102 101 85 86 109 96 98 110 98 115 0.478839 988/1000 NonOverlappingTemplate 99 93 106 99 112 96 99 91 101 104 0.943242 989/1000 NonOverlappingTemplate 95 107 90 85 102 96 118 117 98 92 0.275709 994/1000 NonOverlappingTemplate 92 109 116 93 101 91 103 101 98 96 0.777265 984/1000 NonOverlappingTemplate 106 96 113 110 84 79 99 108 103 102 0.278461 997/1000 NonOverlappingTemplate 106 93 86 105 94 108 99 108 96 105 0.823725 993/1000 NonOverlappingTemplate 111 106 82 115 95 103 94 100 109 85 0.288249 990/1000 NonOverlappingTemplate 93 110 100 99 94 90 92 89 128 105 0.171867 993/1000 NonOverlappingTemplate 83 99 104 96 97 100 114 104 92 111 0.607993 992/1000 NonOverlappingTemplate 89 102 121 99 102 109 83 131 74 90 0.001521 990/1000 NonOverlappingTemplate 90 97 91 97 122 98 98 101 110 96 0.526105 990/1000 NonOverlappingTemplate 100 87 103 105 91 92 101 117 104 100 0.684890 989/1000 NonOverlappingTemplate 105 107 88 114 81 103 91 109 100 102 0.392456 987/1000 NonOverlappingTemplate 102 87 98 101 102 114 99 101 89 107 0.788728 986/1000 NonOverlappingTemplate 81 96 101 115 102 102 91 109 98 105 0.532132 990/1000 NonOverlappingTemplate 94 84 108 110 115 102 94 94 93 106 0.492436 994/1000 NonOverlappingTemplate 104 83 99 96 102 108 88 109 108 103 0.649612 989/1000 NonOverlappingTemplate 105 99 99 88 95 108 81 104 118 103 0.375313 994/1000 NonOverlappingTemplate 110 113 95 97 85 88 103 103 82 124 0.068999 992/1000 NonOverlappingTemplate 101 94 95 115 100 105 81 93 112 104 0.454053 988/1000 NonOverlappingTemplate 79 120 109 101 94 96 111 88 96 106 0.166260 990/1000 NonOverlappingTemplate 104 119 87 97 102 95 96 96 106 98 0.682823 988/1000 NonOverlappingTemplate 94 94 93 111 111 110 93 103 90 101 0.717714 996/1000 NonOverlappingTemplate 92 93 110 113 104 104 103 99 91 91 0.753844 992/1000 NonOverlappingTemplate 109 83 109 103 94 103 101 90 99 109 0.649612 994/1000 NonOverlappingTemplate 103 104 100 96 117 89 103 94 97 97 0.821937 993/1000 NonOverlappingTemplate 119 104 92 103 94 94 103 88 109 94 0.542228 987/1000 NonOverlappingTemplate 102 116 84 104 99 107 99 99 93 97 0.697257 987/1000 NonOverlappingTemplate 84 111 100 95 122 99 96 97 97 99 0.417219 986/1000 NonOverlappingTemplate 95 106 95 105 108 99 102 103 93 94 0.973718 987/1000 NonOverlappingTemplate 112 91 92 115 122 91 90 96 90 101 0.164425 983/1000 NonOverlappingTemplate 109 77 100 105 89 115 107 103 108 87 0.175691 981/1000 NonOverlappingTemplate 90 109 114 113 75 100 103 88 102 106 0.135720 989/1000 NonOverlappingTemplate 97 98 110 78 109 112 93 104 111 88 0.241741 990/1000 NonOverlappingTemplate 100 125 97 111 113 92 97 95 99 71 0.028434 990/1000 NonOverlappingTemplate 91 98 104 116 98 85 107 112 93 96 0.490483 989/1000 NonOverlappingTemplate 113 109 100 87 99 97 90 100 84 121 0.199045 986/1000 NonOverlappingTemplate 96 105 98 102 99 103 96 98 107 96 0.997568 985/1000 NonOverlappingTemplate 99 94 98 98 79 115 109 102 94 112 0.370262 992/1000 NonOverlappingTemplate 97 96 105 93 94 112 102 99 93 109 0.901959 989/1000 NonOverlappingTemplate 109 100 123 102 89 87 103 95 96 96 0.375313 993/1000 NonOverlappingTemplate 105 102 94 93 114 97 96 89 118 92 0.490483 989/1000 NonOverlappingTemplate 88 102 105 108 100 93 107 92 99 106 0.886162 997/1000 NonOverlappingTemplate 104 82 111 93 88 100 93 107 116 106 0.316052 989/1000 NonOverlappingTemplate 115 110 116 86 92 88 104 94 101 94 0.293952 986/1000 NonOverlappingTemplate 106 111 113 92 106 95 101 100 89 87 0.593478 994/1000 NonOverlappingTemplate 102 106 104 100 96 92 116 84 105 95 0.639202 988/1000 NonOverlappingTemplate 86 101 99 105 102 100 100 107 107 93 0.927677 992/1000 NonOverlappingTemplate 111 94 103 95 105 107 113 85 93 94 0.591409 984/1000 NonOverlappingTemplate 98 95 108 90 103 121 98 98 86 103 0.478839 986/1000 NonOverlappingTemplate 97 107 120 100 100 102 98 86 97 93 0.616305 989/1000 NonOverlappingTemplate 94 96 91 103 94 109 110 102 95 106 0.894918 987/1000 NonOverlappingTemplate 109 103 76 99 117 96 100 105 106 89 0.240501 987/1000 NonOverlappingTemplate 112 93 99 105 89 89 96 101 107 109 0.731886 988/1000 NonOverlappingTemplate 98 86 99 110 96 94 109 116 90 102 0.540204 986/1000 NonOverlappingTemplate 99 94 88 113 97 96 108 96 106 103 0.834308 989/1000 NonOverlappingTemplate 88 103 89 107 90 87 95 116 96 129 0.044220 994/1000 NonOverlappingTemplate 88 99 93 95 99 105 100 113 99 109 0.837781 994/1000 NonOverlappingTemplate 98 106 98 90 102 94 93 81 115 123 0.142062 991/1000 NonOverlappingTemplate 102 91 107 96 104 104 96 107 95 98 0.973055 991/1000 NonOverlappingTemplate 100 95 100 105 102 91 95 100 111 101 0.971006 986/1000 NonOverlappingTemplate 114 92 103 93 118 86 96 97 108 93 0.370262 984/1000 NonOverlappingTemplate 103 103 98 102 90 92 108 110 89 105 0.834308 983/1000 NonOverlappingTemplate 117 92 103 114 104 86 87 96 91 110 0.251837 987/1000 NonOverlappingTemplate 108 102 100 102 97 113 89 113 88 88 0.506194 991/1000 NonOverlappingTemplate 102 106 107 99 90 96 109 107 104 80 0.583145 993/1000 NonOverlappingTemplate 96 116 90 100 93 100 97 99 112 97 0.755819 991/1000 NonOverlappingTemplate 107 86 102 121 84 95 115 106 85 99 0.103138 986/1000 NonOverlappingTemplate 94 102 100 92 103 100 118 114 84 93 0.402962 988/1000 NonOverlappingTemplate 97 96 91 94 119 113 98 102 96 94 0.603841 995/1000 NonOverlappingTemplate 109 106 98 100 101 98 95 94 107 92 0.964295 983/1000 NonOverlappingTemplate 82 101 116 111 100 123 93 92 93 89 0.087162 990/1000 NonOverlappingTemplate 110 90 104 94 97 100 93 98 95 119 0.637119 989/1000 NonOverlappingTemplate 97 112 100 93 95 95 110 104 105 89 0.821937 996/1000 NonOverlappingTemplate 116 86 106 95 97 99 99 104 98 100 0.794391 990/1000 NonOverlappingTemplate 97 101 111 83 109 107 94 106 99 93 0.666245 991/1000 NonOverlappingTemplate 96 106 101 86 102 101 106 108 75 119 0.145326 992/1000 NonOverlappingTemplate 110 93 105 91 86 94 113 102 96 110 0.558502 986/1000 NonOverlappingTemplate 107 103 110 105 120 90 96 103 82 84 0.168112 987/1000 NonOverlappingTemplate 86 109 96 96 106 88 109 118 94 98 0.406499 994/1000 NonOverlappingTemplate 92 95 103 111 108 99 124 80 89 99 0.128874 994/1000 NonOverlappingTemplate 88 93 99 92 102 99 95 110 107 115 0.676615 990/1000 NonOverlappingTemplate 92 101 110 112 99 89 108 93 94 102 0.755819 989/1000 NonOverlappingTemplate 98 97 104 103 103 90 108 91 96 110 0.906069 987/1000 NonOverlappingTemplate 103 111 91 97 89 106 87 100 105 111 0.645448 988/1000 NonOverlappingTemplate 100 93 106 100 99 99 113 100 101 89 0.925287 987/1000 NonOverlappingTemplate 82 101 115 103 92 101 92 110 94 110 0.415422 989/1000 NonOverlappingTemplate 109 97 102 95 93 121 101 103 81 98 0.363593 991/1000 NonOverlappingTemplate 91 95 108 89 103 96 115 98 103 102 0.781106 988/1000 NonOverlappingTemplate 102 88 107 99 86 112 101 105 106 94 0.703417 987/1000 NonOverlappingTemplate 96 117 94 96 106 97 88 92 126 88 0.112047 988/1000 NonOverlappingTemplate 116 92 86 102 99 117 90 92 89 117 0.128132 991/1000 NonOverlappingTemplate 100 98 104 97 116 85 100 108 105 87 0.566688 990/1000 NonOverlappingTemplate 95 88 111 94 105 91 102 128 87 99 0.125927 993/1000 NonOverlappingTemplate 104 85 87 90 107 109 101 122 114 81 0.051611 988/1000 NonOverlappingTemplate 110 99 105 118 86 106 97 104 105 70 0.060492 987/1000 NonOverlappingTemplate 99 106 95 109 92 109 95 93 96 106 0.901959 992/1000 NonOverlappingTemplate 108 104 92 104 102 98 109 92 98 93 0.932333 992/1000 NonOverlappingTemplate 93 102 86 100 103 115 110 92 86 113 0.340858 997/1000 NonOverlappingTemplate 107 102 101 104 101 95 106 101 99 84 0.917870 987/1000 NonOverlappingTemplate 98 96 101 91 105 116 100 92 101 100 0.877083 987/1000 NonOverlappingTemplate 98 116 114 105 79 93 108 89 96 102 0.227180 989/1000 NonOverlappingTemplate 96 88 91 108 105 94 94 111 112 101 0.670396 990/1000 NonOverlappingTemplate 98 84 96 97 121 111 104 99 81 109 0.159910 989/1000 NonOverlappingTemplate 81 89 92 102 99 117 106 110 102 102 0.363593 994/1000 NonOverlappingTemplate 92 100 95 97 99 96 99 107 104 111 0.963497 991/1000 NonOverlappingTemplate 100 95 76 113 100 120 89 97 105 105 0.141256 990/1000 NonOverlappingTemplate 98 100 95 120 96 93 104 93 94 107 0.695200 991/1000 NonOverlappingTemplate 111 98 98 102 98 116 96 103 89 89 0.678686 987/1000 NonOverlappingTemplate 107 101 113 86 86 99 88 116 107 97 0.296834 989/1000 NonOverlappingTemplate 109 107 96 84 93 92 111 104 93 111 0.512137 990/1000 NonOverlappingTemplate 105 89 98 92 89 99 105 110 110 103 0.769527 985/1000 NonOverlappingTemplate 107 108 108 91 112 81 108 95 107 83 0.219006 987/1000 NonOverlappingTemplate 94 109 103 110 105 103 90 92 90 104 0.798139 990/1000 NonOverlappingTemplate 101 80 96 112 110 94 103 101 109 94 0.510153 989/1000 NonOverlappingTemplate 103 101 85 111 94 100 122 95 88 101 0.314544 991/1000 NonOverlappingTemplate 83 98 110 95 98 97 107 105 94 113 0.626709 990/1000 NonOverlappingTemplate 100 102 97 84 110 108 108 90 95 106 0.680755 993/1000 NonOverlappingTemplate 89 82 86 129 100 80 121 103 110 100 0.003823 991/1000 NonOverlappingTemplate 110 96 94 82 113 107 91 101 108 98 0.490483 993/1000 NonOverlappingTemplate 108 101 98 94 98 97 115 97 101 91 0.887645 993/1000 NonOverlappingTemplate 109 105 115 83 91 88 94 123 85 107 0.051281 988/1000 NonOverlappingTemplate 97 96 104 91 86 116 95 112 100 103 0.583145 989/1000 NonOverlappingTemplate 97 91 104 108 109 78 104 104 104 101 0.550347 992/1000 NonOverlappingTemplate 94 85 88 94 111 94 106 92 108 128 0.079051 991/1000 NonOverlappingTemplate 100 101 105 101 116 99 89 101 96 92 0.846338 986/1000 NonOverlappingTemplate 95 96 100 94 107 113 90 103 95 107 0.853049 986/1000 NonOverlappingTemplate 81 98 104 84 109 109 85 114 95 121 0.050954 991/1000 NonOverlappingTemplate 86 98 98 99 100 101 107 78 115 118 0.168112 992/1000 NonOverlappingTemplate 99 94 88 113 97 95 109 96 106 103 0.811080 989/1000 NonOverlappingTemplate 115 100 101 108 99 80 100 107 102 88 0.448424 988/1000 OverlappingTemplate 116 105 106 89 98 95 97 110 90 94 0.624627 982/1000 Universal 104 93 99 105 117 110 82 82 112 96 0.168112 991/1000 ApproximateEntropy 63 63 58 69 72 69 58 55 70 60 0.820258 630/637 RandomExcursions 53 62 86 57 47 47 76 66 72 71 0.004586 633/637 RandomExcursions 58 74 60 58 65 60 69 60 63 70 0.871205 632/637 RandomExcursions 69 72 63 69 52 67 64 55 66 60 0.747834 630/637 RandomExcursions 49 58 71 59 64 81 61 72 63 59 0.240520 632/637 RandomExcursions 63 66 53 68 68 58 69 65 63 64 0.937294 631/637 RandomExcursions 57 57 67 61 74 85 61 48 68 59 0.081780 633/637 RandomExcursions 55 53 55 68 75 57 73 72 60 69 0.314520 634/637 RandomExcursions 81 55 63 66 60 66 57 64 65 60 0.597521 629/637 RandomExcursionsVariant 71 70 51 66 58 66 79 57 53 66 0.267105 631/637 RandomExcursionsVariant 68 69 63 62 61 57 66 72 59 60 0.944046 631/637 RandomExcursionsVariant 81 64 53 63 68 61 59 58 67 63 0.522989 632/637 RandomExcursionsVariant 65 77 70 43 61 55 75 63 59 69 0.105867 632/637 RandomExcursionsVariant 66 60 65 64 64 44 59 73 68 74 0.329085 632/637 RandomExcursionsVariant 57 68 63 67 57 78 59 57 70 61 0.633814 633/637 RandomExcursionsVariant 57 70 58 54 58 68 74 63 75 60 0.516651 633/637 RandomExcursionsVariant 61 67 62 47 59 67 78 65 71 60 0.375448 632/637 RandomExcursionsVariant 62 55 62 69 70 73 55 50 78 63 0.258702 633/637 RandomExcursionsVariant 54 58 62 57 71 77 67 67 64 60 0.630509 633/637 RandomExcursionsVariant 53 61 58 58 66 79 51 75 69 67 0.210638 635/637 RandomExcursionsVariant 58 61 73 51 59 59 68 68 78 62 0.417019 634/637 RandomExcursionsVariant 65 63 66 65 61 55 56 74 57 75 0.647034 634/637 RandomExcursionsVariant 60 75 62 58 63 67 61 65 70 56 0.853234 633/637 RandomExcursionsVariant 60 70 62 73 64 68 66 58 65 51 0.757258 634/637 RandomExcursionsVariant 55 81 63 66 67 70 62 62 53 58 0.405684 635/637 RandomExcursionsVariant 61 67 74 65 59 87 54 68 52 50 0.035358 634/637 RandomExcursionsVariant 105 106 102 91 98 100 114 87 92 105 0.735908 988/1000 Serial 109 95 88 99 113 100 93 99 95 109 0.763677 987/1000 Serial 101 89 90 101 112 104 102 95 116 90 0.566688 986/1000 LinearComplexity - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - The minimum pass rate for each statistical test with the exception of the random excursion (variant) test is approximately = 980 for a sample size = 1000 binary sequences. The minimum pass rate for the random excursion (variant) test is approximately = 623 for a sample size = 637 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -