------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 98 97 107 101 99 101 102 108 98 89 0.978654 990/1000 Frequency 87 108 115 87 109 108 114 101 92 79 0.098330 997/1000 BlockFrequency 102 96 100 93 118 107 89 106 97 92 0.666245 988/1000 CumulativeSums 106 101 94 82 109 91 93 125 108 91 0.130369 988/1000 CumulativeSums 105 96 104 98 101 101 103 106 105 81 0.839507 989/1000 Runs 103 82 92 113 113 97 107 86 106 101 0.329850 988/1000 LongestRun 115 85 89 110 105 107 106 79 91 113 0.098920 991/1000 Rank 102 111 93 98 95 107 108 94 100 92 0.900569 989/1000 FFT 94 118 108 111 101 81 89 102 101 95 0.305599 995/1000 NonOverlappingTemplate 100 95 105 117 96 94 92 92 110 99 0.719747 993/1000 NonOverlappingTemplate 113 93 81 94 99 101 96 101 116 106 0.413628 989/1000 NonOverlappingTemplate 109 107 80 106 101 95 104 106 99 93 0.643366 991/1000 NonOverlappingTemplate 112 96 99 85 104 106 97 106 112 83 0.422638 993/1000 NonOverlappingTemplate 104 101 101 96 102 96 103 96 102 99 0.999726 991/1000 NonOverlappingTemplate 91 110 92 105 99 94 97 110 99 103 0.893482 991/1000 NonOverlappingTemplate 102 92 91 103 89 120 95 101 103 104 0.605916 983/1000 NonOverlappingTemplate 101 92 88 106 96 103 103 98 107 106 0.931185 992/1000 NonOverlappingTemplate 93 99 101 116 98 95 100 102 98 98 0.942198 990/1000 NonOverlappingTemplate 91 101 86 95 100 111 92 122 104 98 0.357000 990/1000 NonOverlappingTemplate 101 117 91 97 88 94 113 111 103 85 0.286836 991/1000 NonOverlappingTemplate 111 81 111 105 100 85 85 114 101 107 0.152044 989/1000 NonOverlappingTemplate 95 94 111 103 90 85 101 106 117 98 0.488534 987/1000 NonOverlappingTemplate 96 112 95 114 100 110 103 89 92 89 0.538182 989/1000 NonOverlappingTemplate 101 94 108 102 92 91 106 103 93 110 0.880145 992/1000 NonOverlappingTemplate 106 101 101 102 112 101 90 97 87 103 0.856359 986/1000 NonOverlappingTemplate 107 104 97 98 103 78 97 98 112 106 0.570792 991/1000 NonOverlappingTemplate 105 88 100 104 93 110 87 106 86 121 0.227180 989/1000 NonOverlappingTemplate 93 98 110 90 115 99 100 101 88 106 0.678686 992/1000 NonOverlappingTemplate 104 94 110 102 90 101 98 92 106 103 0.930026 989/1000 NonOverlappingTemplate 95 109 89 94 104 109 114 97 98 91 0.689019 993/1000 NonOverlappingTemplate 93 117 100 105 93 95 100 110 96 91 0.705466 991/1000 NonOverlappingTemplate 99 110 104 102 93 94 89 96 111 102 0.861264 991/1000 NonOverlappingTemplate 96 100 104 103 99 102 83 102 98 113 0.823725 991/1000 NonOverlappingTemplate 100 98 98 91 101 84 106 99 102 121 0.506194 994/1000 NonOverlappingTemplate 107 92 111 99 105 87 99 108 91 101 0.763677 984/1000 NonOverlappingTemplate 101 111 91 87 116 78 97 109 98 112 0.141256 987/1000 NonOverlappingTemplate 87 99 110 96 91 118 106 103 89 101 0.476911 987/1000 NonOverlappingTemplate 83 100 112 103 91 91 99 114 102 105 0.504219 991/1000 NonOverlappingTemplate 105 89 97 87 92 103 102 120 93 112 0.355364 988/1000 NonOverlappingTemplate 96 90 113 113 106 104 97 91 97 93 0.684890 993/1000 NonOverlappingTemplate 113 102 90 106 91 100 113 102 102 81 0.411840 990/1000 NonOverlappingTemplate 103 89 88 113 116 101 84 100 98 108 0.331408 987/1000 NonOverlappingTemplate 101 98 106 96 88 107 102 113 97 92 0.837781 989/1000 NonOverlappingTemplate 95 91 97 98 89 95 120 111 97 107 0.490483 997/1000 NonOverlappingTemplate 98 102 108 103 87 85 116 95 108 98 0.510153 994/1000 NonOverlappingTemplate 98 127 102 97 106 83 99 93 102 93 0.228367 987/1000 NonOverlappingTemplate 110 86 98 93 95 101 97 103 113 104 0.761719 990/1000 NonOverlappingTemplate 101 103 98 85 101 102 102 97 113 98 0.890582 983/1000 NonOverlappingTemplate 99 108 102 110 113 97 105 76 98 92 0.337688 987/1000 NonOverlappingTemplate 102 109 88 106 105 73 100 120 94 103 0.101311 985/1000 NonOverlappingTemplate 124 106 89 96 102 98 91 96 95 103 0.448424 986/1000 NonOverlappingTemplate 87 90 108 100 91 118 108 99 101 98 0.526105 990/1000 NonOverlappingTemplate 114 109 108 93 94 109 91 83 101 98 0.454053 990/1000 NonOverlappingTemplate 90 116 97 111 102 99 111 100 85 89 0.385543 988/1000 NonOverlappingTemplate 98 96 96 79 114 108 107 93 107 102 0.448424 991/1000 NonOverlappingTemplate 110 116 101 109 75 88 93 117 108 83 0.025363 987/1000 NonOverlappingTemplate 109 111 96 85 83 95 106 114 93 108 0.274341 991/1000 NonOverlappingTemplate 91 104 98 94 107 93 95 109 111 98 0.862883 990/1000 NonOverlappingTemplate 109 111 108 111 87 95 98 95 91 95 0.620465 990/1000 NonOverlappingTemplate 90 94 111 119 107 76 82 94 112 115 0.019721 985/1000 NonOverlappingTemplate 102 96 121 92 113 92 104 91 95 94 0.422638 989/1000 NonOverlappingTemplate 96 87 106 99 102 103 101 101 97 108 0.960198 999/1000 NonOverlappingTemplate 89 95 110 101 101 90 110 92 109 103 0.737915 991/1000 NonOverlappingTemplate 103 90 102 108 111 99 90 93 107 97 0.829047 996/1000 NonOverlappingTemplate 96 96 85 115 97 89 104 97 112 109 0.473064 990/1000 NonOverlappingTemplate 105 74 107 100 102 107 104 112 88 101 0.270265 990/1000 NonOverlappingTemplate 104 102 102 99 91 95 104 101 98 104 0.995578 993/1000 NonOverlappingTemplate 108 93 102 107 90 99 91 102 116 92 0.666245 989/1000 NonOverlappingTemplate 101 91 113 106 107 96 95 97 100 94 0.896345 985/1000 NonOverlappingTemplate 113 103 115 107 87 102 90 83 94 106 0.285427 993/1000 NonOverlappingTemplate 111 99 113 90 113 84 105 82 104 99 0.223648 987/1000 NonOverlappingTemplate 108 95 99 84 101 84 117 78 116 118 0.020831 986/1000 NonOverlappingTemplate 90 126 106 113 89 91 103 88 85 109 0.058612 996/1000 NonOverlappingTemplate 92 110 111 101 103 100 94 92 103 94 0.883171 992/1000 NonOverlappingTemplate 105 119 95 82 99 95 90 107 114 94 0.248014 984/1000 NonOverlappingTemplate 105 102 103 82 92 108 97 98 117 96 0.526105 990/1000 NonOverlappingTemplate 100 96 102 90 96 92 121 90 106 107 0.508172 985/1000 NonOverlappingTemplate 92 98 91 93 90 108 127 117 96 88 0.080519 988/1000 NonOverlappingTemplate 108 93 115 90 111 83 104 109 81 106 0.144504 988/1000 NonOverlappingTemplate 100 112 94 104 95 100 86 113 93 103 0.695200 990/1000 NonOverlappingTemplate 103 122 96 110 83 99 94 84 102 107 0.189625 988/1000 NonOverlappingTemplate 93 108 107 98 101 102 106 106 87 92 0.854708 991/1000 NonOverlappingTemplate 94 118 107 112 101 80 91 101 101 95 0.302657 995/1000 NonOverlappingTemplate 104 94 107 106 97 102 85 107 105 93 0.836048 986/1000 NonOverlappingTemplate 99 98 87 92 96 109 93 111 113 102 0.660012 992/1000 NonOverlappingTemplate 123 113 106 99 111 87 99 87 85 90 0.085587 988/1000 NonOverlappingTemplate 108 110 87 114 94 104 110 93 73 107 0.088762 985/1000 NonOverlappingTemplate 114 111 107 101 85 101 84 100 95 102 0.457825 989/1000 NonOverlappingTemplate 105 96 86 105 86 99 116 100 94 113 0.419021 993/1000 NonOverlappingTemplate 122 98 95 110 101 109 101 95 90 79 0.180568 991/1000 NonOverlappingTemplate 97 108 99 97 120 93 91 90 111 94 0.465415 990/1000 NonOverlappingTemplate 106 84 96 95 106 119 103 98 104 89 0.455937 986/1000 NonOverlappingTemplate 95 102 101 113 106 106 89 96 100 92 0.858002 990/1000 NonOverlappingTemplate 120 103 94 97 107 88 76 102 93 120 0.052610 991/1000 NonOverlappingTemplate 104 95 93 89 105 107 99 91 105 112 0.801865 990/1000 NonOverlappingTemplate 124 85 125 90 101 88 91 103 102 91 0.030197 984/1000 NonOverlappingTemplate 89 111 103 91 119 118 92 86 87 104 0.101917 993/1000 NonOverlappingTemplate 97 95 91 96 96 104 92 99 128 102 0.337688 991/1000 NonOverlappingTemplate 120 102 89 98 116 104 77 92 102 100 0.123038 992/1000 NonOverlappingTemplate 109 87 106 85 106 106 103 95 106 97 0.676615 985/1000 NonOverlappingTemplate 96 107 88 104 114 102 101 94 89 105 0.731886 991/1000 NonOverlappingTemplate 97 89 101 113 106 113 92 81 110 98 0.323668 989/1000 NonOverlappingTemplate 112 102 97 90 99 105 102 98 91 104 0.919131 990/1000 NonOverlappingTemplate 100 101 111 97 110 88 101 98 113 81 0.428095 989/1000 NonOverlappingTemplate 105 116 92 84 112 95 100 89 109 98 0.370262 991/1000 NonOverlappingTemplate 89 92 101 112 89 117 99 117 88 96 0.219006 994/1000 NonOverlappingTemplate 106 94 92 89 90 107 94 104 120 104 0.461612 985/1000 NonOverlappingTemplate 118 113 102 104 90 111 95 97 83 87 0.199045 994/1000 NonOverlappingTemplate 88 95 112 89 92 108 105 111 95 105 0.576961 988/1000 NonOverlappingTemplate 96 111 96 106 90 101 92 111 99 98 0.851383 985/1000 NonOverlappingTemplate 98 106 88 114 92 76 105 105 109 107 0.213309 992/1000 NonOverlappingTemplate 114 115 96 114 104 102 91 121 70 73 0.000939 989/1000 NonOverlappingTemplate 106 115 114 87 92 90 96 101 104 95 0.486588 990/1000 NonOverlappingTemplate 123 94 116 91 95 91 90 99 100 101 0.268917 991/1000 NonOverlappingTemplate 112 97 98 114 100 100 104 107 87 81 0.394195 992/1000 NonOverlappingTemplate 92 110 90 111 99 116 89 105 91 97 0.457825 992/1000 NonOverlappingTemplate 107 92 106 91 91 105 96 112 114 86 0.448424 990/1000 NonOverlappingTemplate 96 99 97 109 117 97 110 90 83 102 0.439122 992/1000 NonOverlappingTemplate 100 115 88 84 109 100 93 100 103 108 0.506194 992/1000 NonOverlappingTemplate 111 92 118 85 100 104 94 100 104 92 0.469232 988/1000 NonOverlappingTemplate 102 99 111 103 113 99 79 99 102 93 0.534146 989/1000 NonOverlappingTemplate 112 90 112 113 98 99 101 99 103 73 0.161703 988/1000 NonOverlappingTemplate 114 96 103 100 98 108 98 93 84 106 0.705466 987/1000 NonOverlappingTemplate 98 98 93 106 88 103 111 101 102 100 0.928857 989/1000 NonOverlappingTemplate 102 114 107 97 92 89 101 106 103 89 0.729870 990/1000 NonOverlappingTemplate 91 108 92 103 97 86 104 109 105 105 0.769527 989/1000 NonOverlappingTemplate 93 98 99 89 112 93 96 121 105 94 0.450297 990/1000 NonOverlappingTemplate 103 97 96 90 111 103 97 117 103 83 0.474986 987/1000 NonOverlappingTemplate 98 117 95 97 93 114 102 106 82 96 0.390721 993/1000 NonOverlappingTemplate 100 103 86 101 92 114 82 97 107 118 0.229559 993/1000 NonOverlappingTemplate 91 93 125 91 100 107 107 105 78 103 0.104993 989/1000 NonOverlappingTemplate 104 104 107 108 104 111 96 86 102 78 0.365253 988/1000 NonOverlappingTemplate 118 89 95 89 98 111 94 97 101 108 0.508172 987/1000 NonOverlappingTemplate 110 101 112 91 97 96 102 99 97 95 0.917870 993/1000 NonOverlappingTemplate 108 108 103 92 98 118 96 94 100 83 0.465415 990/1000 NonOverlappingTemplate 94 80 101 113 105 87 120 102 83 115 0.045971 985/1000 NonOverlappingTemplate 96 90 84 113 96 101 103 106 101 110 0.632955 991/1000 NonOverlappingTemplate 110 109 103 99 94 97 92 98 100 98 0.961039 987/1000 NonOverlappingTemplate 109 100 93 107 88 106 97 94 100 106 0.883171 989/1000 NonOverlappingTemplate 104 104 89 96 99 100 110 99 92 107 0.921624 985/1000 NonOverlappingTemplate 104 103 101 94 97 108 93 75 115 110 0.253122 992/1000 NonOverlappingTemplate 103 105 86 106 101 91 99 108 105 96 0.872425 988/1000 NonOverlappingTemplate 98 93 93 86 118 115 105 100 99 93 0.417219 989/1000 NonOverlappingTemplate 105 120 88 109 82 102 92 110 90 102 0.188601 989/1000 NonOverlappingTemplate 96 114 96 86 106 114 100 98 101 89 0.552383 989/1000 NonOverlappingTemplate 93 99 116 110 95 88 104 96 110 89 0.506194 993/1000 NonOverlappingTemplate 101 101 86 109 105 103 95 84 109 107 0.612147 995/1000 NonOverlappingTemplate 105 87 106 112 107 105 96 80 110 92 0.328297 988/1000 NonOverlappingTemplate 108 78 102 88 97 116 104 103 101 103 0.353733 990/1000 NonOverlappingTemplate 94 90 91 103 97 98 120 104 114 89 0.373625 989/1000 NonOverlappingTemplate 95 100 108 100 118 97 99 100 92 91 0.771469 986/1000 NonOverlappingTemplate 89 114 111 101 93 113 94 95 104 86 0.410055 993/1000 NonOverlappingTemplate 102 103 83 98 115 92 102 93 103 109 0.597620 992/1000 NonOverlappingTemplate 111 89 118 94 100 104 100 85 106 93 0.411840 994/1000 NonOverlappingTemplate 102 108 100 101 94 95 116 86 106 92 0.655854 990/1000 NonOverlappingTemplate 93 107 108 96 103 102 106 106 87 92 0.837781 991/1000 NonOverlappingTemplate 95 100 99 117 92 103 79 104 101 110 0.395940 987/1000 OverlappingTemplate 109 94 109 108 91 89 118 81 106 95 0.207730 985/1000 Universal 89 84 113 110 113 82 102 106 109 92 0.152044 991/1000 ApproximateEntropy 70 62 58 67 70 39 64 65 56 63 0.200678 603/614 RandomExcursions 72 70 61 67 50 50 67 48 71 58 0.161866 604/614 RandomExcursions 60 62 69 54 61 81 43 50 78 56 0.013170 610/614 RandomExcursions 70 56 61 56 60 64 59 78 55 55 0.504704 610/614 RandomExcursions 66 76 53 58 52 58 65 62 65 59 0.597926 613/614 RandomExcursions 70 59 76 68 47 55 56 56 63 64 0.295296 605/614 RandomExcursions 64 65 69 61 72 64 56 53 46 64 0.447934 606/614 RandomExcursions 78 61 63 64 63 64 59 46 50 66 0.254962 608/614 RandomExcursions 71 61 62 65 62 53 61 67 56 56 0.883664 604/614 RandomExcursionsVariant 68 60 71 51 61 66 62 68 56 51 0.597926 602/614 RandomExcursionsVariant 65 67 67 53 50 67 58 69 60 58 0.696617 606/614 RandomExcursionsVariant 71 64 56 61 54 61 78 51 61 57 0.380463 604/614 RandomExcursionsVariant 66 67 66 73 50 52 55 61 68 56 0.447934 607/614 RandomExcursionsVariant 71 63 75 58 53 59 57 56 60 62 0.649066 605/614 RandomExcursionsVariant 73 60 60 65 66 58 66 60 51 55 0.752969 604/614 RandomExcursionsVariant 70 59 53 64 75 53 58 59 63 60 0.621761 604/614 RandomExcursionsVariant 68 60 57 59 71 52 61 56 75 55 0.501472 604/614 RandomExcursionsVariant 68 73 54 58 59 73 50 57 54 68 0.319582 606/614 RandomExcursionsVariant 80 60 63 58 61 57 59 64 56 56 0.591138 607/614 RandomExcursionsVariant 80 73 61 58 61 45 48 60 52 76 0.015457 607/614 RandomExcursionsVariant 75 66 63 66 62 66 50 61 50 55 0.429743 603/614 RandomExcursionsVariant 74 70 51 64 66 57 61 63 47 61 0.363919 603/614 RandomExcursionsVariant 67 60 73 55 73 58 53 50 62 63 0.420798 604/614 RandomExcursionsVariant 65 72 56 65 69 59 51 57 68 52 0.527552 609/614 RandomExcursionsVariant 73 65 61 73 66 61 53 59 48 55 0.361206 608/614 RandomExcursionsVariant 70 71 56 74 56 64 55 62 59 47 0.304850 608/614 RandomExcursionsVariant 90 86 104 102 90 115 106 95 100 112 0.488534 997/1000 Serial 99 89 103 94 88 101 112 96 112 106 0.686955 993/1000 Serial 93 119 94 103 112 108 70 99 95 107 0.059358 993/1000 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 = 600 for a sample size = 614 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -