------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 110 96 95 98 109 104 89 109 85 105 0.643366 989/1000 Frequency 106 94 114 90 120 96 94 94 101 91 0.402962 992/1000 BlockFrequency 109 91 92 91 94 111 100 101 120 91 0.395940 990/1000 CumulativeSums 90 117 93 95 96 90 105 102 122 90 0.217857 989/1000 CumulativeSums 100 80 92 97 95 124 90 94 108 120 0.052947 986/1000 Runs 79 99 121 79 112 96 111 105 111 87 0.023545 991/1000 LongestRun 109 102 98 101 104 98 101 105 88 94 0.957612 990/1000 Rank 118 117 104 78 80 98 117 101 97 90 0.023866 987/1000 FFT 96 93 102 95 91 115 92 94 118 104 0.494392 988/1000 NonOverlappingTemplate 100 89 98 110 93 100 94 116 89 111 0.526105 991/1000 NonOverlappingTemplate 95 91 101 97 105 110 78 119 105 99 0.267573 988/1000 NonOverlappingTemplate 100 102 113 104 89 101 96 96 111 88 0.731886 994/1000 NonOverlappingTemplate 102 103 101 94 103 103 86 93 99 116 0.769527 992/1000 NonOverlappingTemplate 115 99 94 92 94 96 89 110 92 119 0.331408 994/1000 NonOverlappingTemplate 96 88 105 102 106 76 121 96 111 99 0.129620 992/1000 NonOverlappingTemplate 104 107 105 96 91 104 103 95 101 94 0.973718 991/1000 NonOverlappingTemplate 105 99 95 98 116 98 96 98 97 98 0.942198 989/1000 NonOverlappingTemplate 96 85 115 115 92 98 110 101 105 83 0.228367 989/1000 NonOverlappingTemplate 134 96 96 86 96 104 102 95 91 100 0.084037 991/1000 NonOverlappingTemplate 101 99 103 83 89 98 115 99 93 120 0.275709 989/1000 NonOverlappingTemplate 95 91 103 106 92 100 106 88 112 107 0.751866 992/1000 NonOverlappingTemplate 100 89 95 105 109 91 90 111 107 103 0.727851 991/1000 NonOverlappingTemplate 112 98 121 89 100 88 96 103 104 89 0.337688 983/1000 NonOverlappingTemplate 104 108 105 95 93 88 105 100 116 86 0.534146 990/1000 NonOverlappingTemplate 112 84 92 92 102 103 105 103 106 101 0.727851 987/1000 NonOverlappingTemplate 98 77 102 100 93 101 110 104 115 100 0.411840 992/1000 NonOverlappingTemplate 111 97 111 102 87 108 89 98 90 107 0.572847 985/1000 NonOverlappingTemplate 107 96 122 81 95 109 105 94 96 95 0.263572 989/1000 NonOverlappingTemplate 100 118 102 107 87 114 85 101 94 92 0.298282 992/1000 NonOverlappingTemplate 92 104 105 92 93 106 101 103 109 95 0.930026 989/1000 NonOverlappingTemplate 79 112 113 96 107 88 104 88 111 102 0.187581 991/1000 NonOverlappingTemplate 92 98 98 85 104 107 107 99 103 107 0.859637 988/1000 NonOverlappingTemplate 93 96 83 103 87 101 98 127 102 110 0.133404 988/1000 NonOverlappingTemplate 109 81 90 105 92 103 116 110 91 103 0.285427 983/1000 NonOverlappingTemplate 112 99 107 91 108 82 84 107 111 99 0.282626 987/1000 NonOverlappingTemplate 108 116 106 83 83 100 95 112 106 91 0.202268 991/1000 NonOverlappingTemplate 97 83 93 94 103 94 95 114 115 112 0.336111 986/1000 NonOverlappingTemplate 82 74 112 107 119 105 112 85 102 102 0.020831 987/1000 NonOverlappingTemplate 103 101 94 100 91 107 112 95 105 92 0.887645 988/1000 NonOverlappingTemplate 110 104 98 97 89 109 96 96 109 92 0.827279 990/1000 NonOverlappingTemplate 109 104 88 92 90 94 90 112 110 111 0.431754 993/1000 NonOverlappingTemplate 100 98 95 113 95 119 88 98 98 96 0.583145 990/1000 NonOverlappingTemplate 92 105 98 98 104 109 95 95 99 105 0.975012 986/1000 NonOverlappingTemplate 96 110 99 101 88 96 102 94 105 109 0.894918 988/1000 NonOverlappingTemplate 94 97 81 104 104 93 105 114 106 102 0.587274 992/1000 NonOverlappingTemplate 94 102 100 96 100 99 105 108 100 96 0.996155 990/1000 NonOverlappingTemplate 122 102 105 94 119 94 78 92 91 103 0.070299 990/1000 NonOverlappingTemplate 103 106 95 104 102 83 112 97 106 92 0.707513 992/1000 NonOverlappingTemplate 100 93 90 102 121 120 82 95 93 104 0.119508 989/1000 NonOverlappingTemplate 107 103 96 98 103 102 100 101 95 95 0.997698 990/1000 NonOverlappingTemplate 92 103 89 100 91 98 102 89 112 124 0.259616 989/1000 NonOverlappingTemplate 94 98 92 105 87 105 111 103 104 101 0.859637 993/1000 NonOverlappingTemplate 96 79 96 113 106 109 87 93 104 117 0.170922 990/1000 NonOverlappingTemplate 104 109 83 103 110 85 105 90 99 112 0.358641 986/1000 NonOverlappingTemplate 90 94 114 95 113 95 95 94 106 104 0.674543 993/1000 NonOverlappingTemplate 83 96 121 107 95 87 115 95 98 103 0.185555 991/1000 NonOverlappingTemplate 83 108 89 113 108 107 110 100 98 84 0.264901 990/1000 NonOverlappingTemplate 105 97 105 88 100 110 115 91 96 93 0.664168 991/1000 NonOverlappingTemplate 96 100 92 102 106 91 97 102 105 109 0.955835 991/1000 NonOverlappingTemplate 113 108 97 87 112 87 98 94 100 104 0.554420 991/1000 NonOverlappingTemplate 91 116 97 108 102 105 92 101 85 103 0.597620 988/1000 NonOverlappingTemplate 98 89 95 99 101 100 107 105 102 104 0.981940 987/1000 NonOverlappingTemplate 97 95 93 100 102 96 100 119 92 106 0.775337 992/1000 NonOverlappingTemplate 92 94 107 96 105 117 101 93 105 90 0.684890 992/1000 NonOverlappingTemplate 92 94 112 97 95 101 110 100 110 89 0.739918 996/1000 NonOverlappingTemplate 103 101 95 90 98 103 96 110 95 109 0.930026 988/1000 NonOverlappingTemplate 96 95 104 108 103 99 105 112 92 86 0.779188 994/1000 NonOverlappingTemplate 103 106 104 104 128 88 80 106 90 91 0.062427 991/1000 NonOverlappingTemplate 98 118 99 96 93 99 97 93 97 110 0.777265 990/1000 NonOverlappingTemplate 98 110 84 99 100 105 113 101 94 96 0.731886 996/1000 NonOverlappingTemplate 96 110 92 103 108 104 93 93 102 99 0.928857 987/1000 NonOverlappingTemplate 116 102 101 83 106 107 84 102 104 95 0.404728 986/1000 NonOverlappingTemplate 97 93 106 112 104 103 107 98 91 89 0.818343 988/1000 NonOverlappingTemplate 114 105 105 94 109 100 71 100 101 101 0.209948 983/1000 NonOverlappingTemplate 106 103 81 112 95 109 124 79 96 95 0.046568 992/1000 NonOverlappingTemplate 125 94 111 82 105 105 86 88 86 118 0.016950 985/1000 NonOverlappingTemplate 104 97 126 87 106 105 76 89 113 97 0.034484 992/1000 NonOverlappingTemplate 85 82 98 111 92 109 96 123 94 110 0.090936 989/1000 NonOverlappingTemplate 99 111 102 104 83 106 104 100 86 105 0.632955 993/1000 NonOverlappingTemplate 95 106 113 93 109 101 98 83 96 106 0.630872 994/1000 NonOverlappingTemplate 112 89 88 100 105 96 108 81 113 108 0.270265 987/1000 NonOverlappingTemplate 100 109 110 86 111 89 86 99 127 83 0.031428 992/1000 NonOverlappingTemplate 96 93 102 95 91 114 93 94 118 104 0.538182 988/1000 NonOverlappingTemplate 100 110 93 91 96 114 92 82 108 114 0.282626 995/1000 NonOverlappingTemplate 103 104 112 100 94 100 99 111 90 87 0.743915 989/1000 NonOverlappingTemplate 109 94 89 99 109 84 96 107 98 115 0.465415 996/1000 NonOverlappingTemplate 100 105 100 91 96 110 100 111 92 95 0.889118 992/1000 NonOverlappingTemplate 101 111 121 95 102 92 93 107 89 89 0.353733 991/1000 NonOverlappingTemplate 88 95 82 106 108 97 115 99 108 102 0.440975 988/1000 NonOverlappingTemplate 100 101 97 101 86 113 98 96 119 89 0.457825 996/1000 NonOverlappingTemplate 98 104 103 87 117 102 99 112 77 101 0.233162 992/1000 NonOverlappingTemplate 104 99 93 94 90 102 87 110 105 116 0.579021 989/1000 NonOverlappingTemplate 91 100 89 97 117 87 109 96 108 106 0.469232 991/1000 NonOverlappingTemplate 98 105 88 76 109 111 96 99 114 104 0.224821 994/1000 NonOverlappingTemplate 115 94 91 94 100 115 99 104 98 90 0.612147 987/1000 NonOverlappingTemplate 115 77 104 102 96 95 104 96 93 118 0.202268 989/1000 NonOverlappingTemplate 112 81 97 103 98 105 105 100 106 93 0.676615 992/1000 NonOverlappingTemplate 101 104 103 87 99 103 84 100 105 114 0.655854 992/1000 NonOverlappingTemplate 90 111 93 89 116 108 104 105 83 101 0.317565 991/1000 NonOverlappingTemplate 83 86 96 99 93 111 108 93 106 125 0.106877 990/1000 NonOverlappingTemplate 94 104 116 106 89 96 94 109 89 103 0.607993 988/1000 NonOverlappingTemplate 106 88 125 92 107 98 85 100 113 86 0.087692 989/1000 NonOverlappingTemplate 98 116 95 104 97 108 98 102 83 99 0.666245 993/1000 NonOverlappingTemplate 86 106 88 110 107 105 99 102 97 100 0.775337 990/1000 NonOverlappingTemplate 123 100 75 101 89 112 97 113 100 90 0.049030 987/1000 NonOverlappingTemplate 96 94 111 88 101 105 114 102 92 97 0.723804 988/1000 NonOverlappingTemplate 98 105 114 108 90 105 88 85 121 86 0.115387 994/1000 NonOverlappingTemplate 99 103 101 103 101 95 87 110 108 93 0.892036 992/1000 NonOverlappingTemplate 101 95 119 103 101 100 94 89 96 102 0.765632 988/1000 NonOverlappingTemplate 85 93 87 110 95 117 111 95 108 99 0.298282 993/1000 NonOverlappingTemplate 84 129 103 92 91 101 99 103 99 99 0.179584 991/1000 NonOverlappingTemplate 96 103 102 87 107 113 102 101 96 93 0.846338 987/1000 NonOverlappingTemplate 98 91 96 92 103 94 99 112 112 103 0.827279 985/1000 NonOverlappingTemplate 104 103 122 76 80 111 98 119 100 87 0.010988 992/1000 NonOverlappingTemplate 104 97 109 95 84 127 107 92 91 94 0.142872 988/1000 NonOverlappingTemplate 94 101 96 108 89 107 97 96 107 105 0.920383 989/1000 NonOverlappingTemplate 89 84 113 92 97 110 115 102 117 81 0.067300 989/1000 NonOverlappingTemplate 105 106 93 101 104 111 100 88 107 85 0.672470 983/1000 NonOverlappingTemplate 93 92 107 96 94 95 119 109 94 101 0.618385 989/1000 NonOverlappingTemplate 108 102 105 94 104 118 94 78 104 93 0.308561 988/1000 NonOverlappingTemplate 101 128 108 96 127 87 85 85 81 102 0.002219 995/1000 NonOverlappingTemplate 116 104 105 91 100 78 102 109 97 98 0.383827 985/1000 NonOverlappingTemplate 93 116 88 98 91 105 101 113 93 102 0.552383 987/1000 NonOverlappingTemplate 87 102 121 115 104 96 88 93 103 91 0.240501 993/1000 NonOverlappingTemplate 99 104 110 88 108 105 100 97 92 97 0.889118 989/1000 NonOverlappingTemplate 96 93 109 94 96 98 96 106 98 114 0.872425 990/1000 NonOverlappingTemplate 96 85 96 94 102 100 100 104 114 109 0.749884 992/1000 NonOverlappingTemplate 112 93 97 88 100 100 93 105 116 96 0.645448 988/1000 NonOverlappingTemplate 83 101 110 87 112 118 96 95 95 103 0.274341 992/1000 NonOverlappingTemplate 93 84 94 95 108 117 113 92 92 112 0.236810 985/1000 NonOverlappingTemplate 79 98 92 95 113 118 105 109 95 96 0.228367 992/1000 NonOverlappingTemplate 92 99 95 108 123 91 102 81 104 105 0.230755 990/1000 NonOverlappingTemplate 95 82 89 104 111 112 92 103 102 110 0.411840 990/1000 NonOverlappingTemplate 90 102 107 100 102 100 95 92 96 116 0.818343 990/1000 NonOverlappingTemplate 75 100 111 103 107 105 111 99 90 99 0.310049 990/1000 NonOverlappingTemplate 119 101 98 104 85 92 101 98 91 111 0.457825 985/1000 NonOverlappingTemplate 90 105 103 105 110 113 93 92 92 97 0.725829 988/1000 NonOverlappingTemplate 104 104 102 109 112 97 100 95 85 92 0.755819 990/1000 NonOverlappingTemplate 120 104 105 83 113 91 104 94 92 94 0.254411 983/1000 NonOverlappingTemplate 99 95 98 98 101 103 92 95 108 111 0.956729 989/1000 NonOverlappingTemplate 103 101 103 96 97 88 105 97 94 116 0.821937 985/1000 NonOverlappingTemplate 107 95 105 91 103 104 109 107 80 99 0.599693 991/1000 NonOverlappingTemplate 105 118 98 97 90 115 103 98 91 85 0.345650 990/1000 NonOverlappingTemplate 106 91 119 87 88 89 96 108 91 125 0.049030 993/1000 NonOverlappingTemplate 101 121 87 111 94 101 87 98 96 104 0.371941 988/1000 NonOverlappingTemplate 98 106 104 105 108 111 101 65 87 115 0.026410 982/1000 NonOverlappingTemplate 116 84 102 94 95 96 98 103 110 102 0.626709 988/1000 NonOverlappingTemplate 111 102 101 99 103 94 114 94 97 85 0.701366 986/1000 NonOverlappingTemplate 92 109 103 91 97 93 121 92 113 89 0.284024 989/1000 NonOverlappingTemplate 99 106 106 98 90 94 105 86 98 118 0.572847 990/1000 NonOverlappingTemplate 111 109 116 106 97 76 86 110 99 90 0.097743 993/1000 NonOverlappingTemplate 102 104 103 109 93 113 91 96 87 102 0.741918 989/1000 NonOverlappingTemplate 107 106 89 102 96 111 115 83 94 97 0.431754 989/1000 NonOverlappingTemplate 94 119 89 93 106 97 88 105 114 95 0.348869 991/1000 NonOverlappingTemplate 103 97 86 114 106 98 89 104 115 88 0.387264 991/1000 NonOverlappingTemplate 100 109 110 86 111 88 87 99 126 84 0.042255 992/1000 NonOverlappingTemplate 126 90 91 89 92 105 99 106 98 104 0.259616 992/1000 OverlappingTemplate 107 90 98 113 103 98 92 97 97 105 0.881662 983/1000 Universal 90 110 103 86 108 107 113 100 92 91 0.502247 986/1000 ApproximateEntropy 65 52 72 55 61 52 64 74 70 62 0.418149 621/627 RandomExcursions 66 51 65 69 65 67 68 58 47 71 0.395264 620/627 RandomExcursions 57 82 66 57 59 56 59 64 62 65 0.475296 619/627 RandomExcursions 63 64 63 57 57 65 61 57 72 68 0.932260 625/627 RandomExcursions 51 66 55 61 58 61 89 57 64 65 0.074301 616/627 RandomExcursions 81 71 60 64 49 59 62 62 63 56 0.294973 615/627 RandomExcursions 67 71 77 68 61 49 67 57 61 49 0.201745 619/627 RandomExcursions 64 56 56 66 66 67 67 60 70 55 0.880488 624/627 RandomExcursions 66 81 55 65 60 55 63 63 61 58 0.516370 620/627 RandomExcursionsVariant 71 73 72 61 53 67 58 50 57 65 0.373135 620/627 RandomExcursionsVariant 65 82 46 76 66 66 55 53 49 69 0.017813 621/627 RandomExcursionsVariant 58 69 71 75 59 56 71 57 52 59 0.412358 622/627 RandomExcursionsVariant 60 62 73 75 53 69 55 65 64 51 0.367725 623/627 RandomExcursionsVariant 68 60 68 64 64 61 62 57 62 61 0.994366 622/627 RandomExcursionsVariant 66 68 63 63 68 56 70 62 57 54 0.875539 620/627 RandomExcursionsVariant 61 79 60 71 58 64 58 45 72 59 0.160429 618/627 RandomExcursionsVariant 65 59 72 65 72 81 57 52 52 52 0.098748 621/627 RandomExcursionsVariant 58 68 59 66 56 61 64 76 66 53 0.675680 620/627 RandomExcursionsVariant 66 64 63 66 55 64 68 59 60 62 0.987039 618/627 RandomExcursionsVariant 62 70 68 57 56 63 58 55 70 68 0.809781 620/627 RandomExcursionsVariant 72 45 73 63 57 69 58 55 68 67 0.245004 621/627 RandomExcursionsVariant 60 68 64 59 60 70 71 58 68 49 0.655585 621/627 RandomExcursionsVariant 55 67 72 61 64 65 71 61 59 52 0.728567 624/627 RandomExcursionsVariant 57 59 63 68 65 59 81 63 52 60 0.441753 622/627 RandomExcursionsVariant 56 51 64 77 72 69 56 51 72 59 0.166289 620/627 RandomExcursionsVariant 50 53 57 90 80 63 60 48 62 64 0.002748 619/627 RandomExcursionsVariant 106 96 104 120 107 89 88 119 92 79 0.057510 988/1000 Serial 109 92 121 98 90 108 100 91 99 92 0.437274 990/1000 Serial 87 106 91 97 109 106 100 95 97 112 0.749884 988/1000 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 = 613 for a sample size = 627 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -