------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 114 95 114 94 91 97 95 97 95 108 0.672470 0.9880 Frequency 121 98 109 100 94 90 108 95 86 99 0.394195 0.9840 BlockFrequency 101 106 97 102 106 87 100 105 100 96 0.965860 0.9910 CumulativeSums 116 97 105 108 93 95 79 111 93 103 0.313041 0.9930 CumulativeSums 93 108 93 114 93 97 98 96 102 106 0.854708 0.9910 Runs 97 106 111 92 102 82 93 104 112 101 0.566688 0.9890 LongestRun 110 96 92 98 104 101 95 87 109 108 0.798139 0.9930 Rank 113 106 110 92 84 93 102 95 122 83 0.097743 0.9850 FFT 102 96 92 93 116 88 92 103 102 116 0.469232 0.9830 NonOverlappingTemplate 98 87 116 92 118 102 88 104 101 94 0.336111 0.9900 NonOverlappingTemplate 96 100 111 107 98 94 119 94 82 99 0.394195 0.9910 NonOverlappingTemplate 85 96 119 121 89 90 111 101 90 98 0.093720 0.9860 NonOverlappingTemplate 94 87 104 101 94 109 116 109 86 100 0.463512 0.9870 NonOverlappingTemplate 104 95 106 98 107 108 98 86 114 84 0.488534 0.9920 NonOverlappingTemplate 95 106 97 96 88 118 102 77 110 111 0.159020 0.9880 NonOverlappingTemplate 110 109 96 116 95 99 90 96 95 94 0.682823 0.9960 NonOverlappingTemplate 98 102 102 96 88 110 98 111 100 95 0.896345 0.9900 NonOverlappingTemplate 103 106 107 104 100 87 106 98 91 98 0.908760 0.9910 NonOverlappingTemplate 114 97 110 103 91 113 100 91 87 94 0.484646 0.9910 NonOverlappingTemplate 91 87 95 112 106 97 100 114 105 93 0.601766 0.9910 NonOverlappingTemplate 95 92 116 97 95 93 103 90 109 110 0.618385 0.9930 NonOverlappingTemplate 94 104 81 102 120 110 92 106 91 100 0.277082 0.9850 NonOverlappingTemplate 112 91 101 79 102 111 114 94 102 94 0.301194 0.9910 NonOverlappingTemplate 97 102 100 103 125 93 92 95 103 90 0.442831 0.9920 NonOverlappingTemplate 106 98 81 112 91 117 94 108 105 88 0.222480 0.9920 NonOverlappingTemplate 105 110 97 94 105 90 99 98 105 97 0.949278 0.9900 NonOverlappingTemplate 93 113 93 100 88 102 94 101 130 86 0.078567 0.9910 NonOverlappingTemplate 81 85 101 96 94 116 111 90 104 122 0.063615 0.9960 NonOverlappingTemplate 99 93 81 114 115 116 103 84 94 101 0.125927 0.9940 NonOverlappingTemplate 102 108 99 107 99 84 109 75 124 93 0.047785 0.9900 NonOverlappingTemplate 91 107 96 99 91 113 100 111 91 101 0.739918 0.9940 NonOverlappingTemplate 102 96 89 99 107 96 99 95 110 107 0.922855 0.9850 NonOverlappingTemplate 105 74 95 111 110 110 120 87 102 86 0.033362 0.9920 NonOverlappingTemplate 113 104 94 118 94 86 96 87 96 112 0.260930 0.9830 NonOverlappingTemplate 88 106 98 92 93 97 98 116 121 91 0.284024 0.9910 NonOverlappingTemplate 106 113 89 99 94 107 96 103 94 99 0.856359 0.9910 NonOverlappingTemplate 103 89 120 102 110 90 96 107 92 91 0.397688 0.9960 NonOverlappingTemplate 98 108 105 90 98 99 101 96 104 101 0.985339 0.9910 NonOverlappingTemplate 112 97 70 112 121 106 98 95 97 92 0.038062 0.9820 NonOverlappingTemplate 104 99 106 93 108 95 110 88 103 94 0.851383 0.9910 NonOverlappingTemplate 100 117 94 96 106 108 101 102 112 64 0.026410 0.9920 NonOverlappingTemplate 95 97 112 104 86 98 106 112 89 101 0.641284 0.9890 NonOverlappingTemplate 96 114 96 97 106 84 110 107 91 99 0.574903 0.9870 NonOverlappingTemplate 95 105 96 95 99 107 97 116 91 99 0.844641 0.9900 NonOverlappingTemplate 102 96 90 105 102 108 76 107 118 96 0.225998 0.9900 NonOverlappingTemplate 101 98 105 103 89 110 104 84 107 99 0.757790 0.9870 NonOverlappingTemplate 97 117 106 113 79 108 104 95 87 94 0.184549 0.9910 NonOverlappingTemplate 105 94 103 97 101 107 118 99 99 77 0.363593 0.9940 NonOverlappingTemplate 105 88 90 107 102 96 102 106 99 105 0.908760 0.9910 NonOverlappingTemplate 111 90 119 87 84 104 99 100 111 95 0.230755 0.9890 NonOverlappingTemplate 76 95 108 111 109 102 100 85 106 108 0.215574 0.9930 NonOverlappingTemplate 79 96 117 93 87 109 100 112 124 83 0.014857 0.9940 NonOverlappingTemplate 116 91 96 88 94 109 110 105 95 96 0.554420 0.9860 NonOverlappingTemplate 102 97 101 80 102 115 108 91 107 97 0.488534 0.9830 NonOverlappingTemplate 121 100 101 100 101 94 102 88 93 100 0.662091 0.9890 NonOverlappingTemplate 111 102 93 103 114 110 100 85 103 79 0.240501 0.9890 NonOverlappingTemplate 104 103 88 102 101 76 98 102 109 117 0.257004 0.9900 NonOverlappingTemplate 96 101 91 111 107 105 95 95 103 96 0.931185 0.9900 NonOverlappingTemplate 87 120 97 90 92 102 104 98 112 98 0.424453 0.9880 NonOverlappingTemplate 95 88 95 112 97 102 113 107 99 92 0.705466 0.9870 NonOverlappingTemplate 100 101 100 116 94 107 98 83 109 92 0.554420 0.9950 NonOverlappingTemplate 111 98 99 105 91 91 106 100 108 91 0.839507 0.9950 NonOverlappingTemplate 108 97 100 95 104 103 91 87 100 115 0.741918 0.9830 NonOverlappingTemplate 95 112 101 103 88 98 93 96 119 95 0.556460 0.9870 NonOverlappingTemplate 97 91 79 97 116 98 96 99 104 123 0.136499 0.9900 NonOverlappingTemplate 109 101 106 86 111 102 100 105 85 95 0.622546 0.9880 NonOverlappingTemplate 99 115 114 106 95 100 90 90 103 88 0.498313 0.9920 NonOverlappingTemplate 80 91 94 108 113 96 85 120 106 107 0.097743 0.9930 NonOverlappingTemplate 89 117 110 110 92 90 103 100 92 97 0.478839 0.9930 NonOverlappingTemplate 100 96 96 99 98 112 95 102 97 105 0.982454 0.9980 NonOverlappingTemplate 82 112 102 105 105 108 86 90 102 108 0.392456 0.9910 NonOverlappingTemplate 99 114 95 72 117 91 117 106 96 93 0.039329 0.9910 NonOverlappingTemplate 83 98 95 97 96 116 102 117 90 106 0.328297 0.9930 NonOverlappingTemplate 102 113 98 93 102 97 87 87 100 121 0.336111 0.9900 NonOverlappingTemplate 98 89 123 91 98 93 97 111 103 97 0.404728 0.9900 NonOverlappingTemplate 93 103 104 100 95 103 106 92 102 102 0.988677 0.9860 NonOverlappingTemplate 96 88 86 97 106 107 110 102 102 106 0.745908 0.9910 NonOverlappingTemplate 103 99 94 104 100 91 123 88 110 88 0.304126 0.9880 NonOverlappingTemplate 105 81 119 94 101 105 97 99 91 108 0.380407 0.9850 NonOverlappingTemplate 96 101 108 92 104 116 90 100 91 102 0.737915 0.9950 NonOverlappingTemplate 100 96 102 74 107 94 105 105 110 107 0.366918 0.9910 NonOverlappingTemplate 96 98 82 113 92 90 100 120 103 106 0.260930 0.9870 NonOverlappingTemplate 102 96 92 93 116 88 92 103 102 116 0.469232 0.9820 NonOverlappingTemplate 99 100 84 102 112 89 132 83 92 107 0.021117 0.9910 NonOverlappingTemplate 84 110 94 121 91 107 78 101 111 103 0.071620 0.9950 NonOverlappingTemplate 85 93 95 106 100 112 112 95 98 104 0.670396 0.9950 NonOverlappingTemplate 98 116 99 97 100 101 87 120 89 93 0.342451 0.9910 NonOverlappingTemplate 87 97 113 93 105 117 92 89 89 118 0.145326 0.9890 NonOverlappingTemplate 104 109 86 85 104 113 91 113 86 109 0.196920 0.9880 NonOverlappingTemplate 103 108 98 110 96 97 95 100 90 103 0.948298 0.9920 NonOverlappingTemplate 95 89 104 112 93 102 98 103 102 102 0.924076 0.9890 NonOverlappingTemplate 107 95 99 104 88 112 102 93 106 94 0.830808 0.9880 NonOverlappingTemplate 98 105 103 90 100 118 103 83 96 104 0.542228 0.9870 NonOverlappingTemplate 94 92 87 96 107 104 111 106 94 109 0.715679 0.9920 NonOverlappingTemplate 99 116 103 91 78 128 90 95 103 97 0.040371 0.9900 NonOverlappingTemplate 101 94 112 88 109 81 100 97 106 112 0.387264 0.9830 NonOverlappingTemplate 103 97 107 89 98 97 94 108 96 111 0.884671 0.9930 NonOverlappingTemplate 96 93 98 96 95 109 105 94 111 103 0.922855 0.9890 NonOverlappingTemplate 108 119 109 96 110 98 111 98 76 75 0.021117 0.9920 NonOverlappingTemplate 88 98 109 102 90 109 120 92 107 85 0.241741 0.9890 NonOverlappingTemplate 98 115 97 92 114 108 94 97 96 89 0.591409 0.9940 NonOverlappingTemplate 105 115 106 97 105 97 85 99 86 105 0.558502 0.9860 NonOverlappingTemplate 105 87 91 103 89 114 110 119 92 90 0.199045 0.9930 NonOverlappingTemplate 116 99 91 112 91 110 102 84 96 99 0.401199 0.9870 NonOverlappingTemplate 105 86 112 105 88 95 99 83 112 115 0.203351 0.9890 NonOverlappingTemplate 97 88 89 103 96 83 106 121 107 110 0.205531 0.9890 NonOverlappingTemplate 94 101 111 105 82 108 100 104 108 87 0.514124 0.9880 NonOverlappingTemplate 90 104 106 115 94 97 89 92 109 104 0.632955 0.9870 NonOverlappingTemplate 87 90 110 92 114 117 84 99 103 104 0.213309 0.9910 NonOverlappingTemplate 119 102 81 73 109 105 98 103 120 90 0.013856 0.9820 NonOverlappingTemplate 103 102 90 113 102 84 93 102 107 104 0.678686 0.9940 NonOverlappingTemplate 108 117 86 88 93 118 104 91 98 97 0.227180 0.9880 NonOverlappingTemplate 101 87 110 95 99 109 109 90 111 89 0.534146 0.9850 NonOverlappingTemplate 94 94 102 98 102 97 99 101 106 107 0.994250 0.9880 NonOverlappingTemplate 85 93 98 110 110 100 104 89 111 100 0.599693 0.9950 NonOverlappingTemplate 119 91 87 98 99 94 108 84 115 105 0.201189 0.9880 NonOverlappingTemplate 98 115 106 98 102 83 99 107 92 100 0.662091 0.9940 NonOverlappingTemplate 94 95 114 106 86 113 111 83 85 113 0.101917 0.9950 NonOverlappingTemplate 103 96 101 91 112 86 99 98 95 119 0.496351 0.9890 NonOverlappingTemplate 101 121 111 88 111 99 94 104 100 71 0.045380 0.9890 NonOverlappingTemplate 114 93 101 108 102 97 96 92 98 99 0.906069 0.9870 NonOverlappingTemplate 102 109 114 102 87 116 81 101 94 94 0.246750 0.9930 NonOverlappingTemplate 100 102 98 107 88 103 101 96 103 102 0.983453 0.9930 NonOverlappingTemplate 129 90 92 99 113 108 105 97 87 80 0.030602 0.9860 NonOverlappingTemplate 100 105 109 95 87 114 106 92 96 96 0.711601 0.9910 NonOverlappingTemplate 78 106 103 103 88 97 121 104 97 103 0.233162 0.9880 NonOverlappingTemplate 99 108 96 115 92 91 101 92 102 104 0.801865 0.9910 NonOverlappingTemplate 107 85 100 103 99 116 90 103 100 97 0.680755 0.9890 NonOverlappingTemplate 95 104 106 93 95 86 96 109 112 104 0.735908 0.9870 NonOverlappingTemplate 100 104 93 108 86 96 104 108 103 98 0.887645 0.9870 NonOverlappingTemplate 73 104 113 110 94 84 103 104 111 104 0.100109 0.9910 NonOverlappingTemplate 101 82 96 90 111 109 101 90 108 112 0.390721 0.9900 NonOverlappingTemplate 98 91 97 89 91 126 99 105 104 100 0.339271 0.9910 NonOverlappingTemplate 92 100 100 98 114 95 108 104 89 100 0.842937 0.9900 NonOverlappingTemplate 115 86 98 88 95 85 110 121 92 110 0.084551 0.9900 NonOverlappingTemplate 108 112 97 89 101 85 101 91 111 105 0.542228 0.9960 NonOverlappingTemplate 100 105 103 85 93 109 106 98 101 100 0.890582 0.9860 NonOverlappingTemplate 129 96 114 88 84 99 99 103 90 98 0.073872 0.9830 NonOverlappingTemplate 104 90 96 110 102 97 107 94 101 99 0.950247 0.9890 NonOverlappingTemplate 104 108 111 102 80 104 107 106 92 86 0.378705 0.9870 NonOverlappingTemplate 89 102 102 95 103 105 98 101 112 93 0.920383 0.9860 NonOverlappingTemplate 92 88 97 102 100 101 113 83 109 115 0.361938 0.9920 NonOverlappingTemplate 98 102 114 102 92 98 106 98 98 92 0.921624 0.9940 NonOverlappingTemplate 97 85 89 99 101 111 100 112 96 110 0.597620 0.9890 NonOverlappingTemplate 95 102 118 95 101 105 93 117 80 94 0.225998 0.9880 NonOverlappingTemplate 111 99 97 96 112 110 116 100 74 85 0.078567 0.9920 NonOverlappingTemplate 84 86 127 102 106 108 93 96 99 99 0.140453 0.9930 NonOverlappingTemplate 121 92 104 108 95 88 106 96 93 97 0.471146 0.9890 NonOverlappingTemplate 96 103 125 93 85 110 85 96 108 99 0.149495 0.9910 NonOverlappingTemplate 98 92 119 112 93 98 100 101 84 103 0.444691 0.9920 NonOverlappingTemplate 101 101 92 89 98 106 107 107 85 114 0.589341 0.9900 NonOverlappingTemplate 96 102 95 106 104 116 101 106 85 89 0.599693 0.9890 NonOverlappingTemplate 96 86 87 101 107 119 94 96 118 96 0.222480 0.9910 NonOverlappingTemplate 106 102 95 112 116 94 95 106 86 88 0.435430 0.9890 NonOverlappingTemplate 92 89 110 86 93 93 101 119 116 101 0.214439 0.9910 NonOverlappingTemplate 96 97 83 113 93 87 102 120 103 106 0.242986 0.9870 NonOverlappingTemplate 121 106 105 86 94 105 93 99 87 104 0.355364 0.9870 OverlappingTemplate 118 102 97 93 91 116 96 89 99 99 0.473064 0.9900 Universal 98 104 99 98 96 118 110 99 90 88 0.626709 0.9870 ApproximateEntropy 68 63 54 51 70 63 60 63 64 63 0.834308 0.9871 RandomExcursions 63 52 73 61 58 62 58 71 61 60 0.767454 0.9871 RandomExcursions 52 69 65 61 53 65 55 57 68 74 0.496640 0.9903 RandomExcursions 73 60 52 61 79 58 59 56 52 69 0.212387 0.9919 RandomExcursions 49 75 48 62 48 76 59 59 70 73 0.028440 0.9871 RandomExcursions 65 62 58 58 61 71 57 64 67 56 0.934434 0.9790 * RandomExcursions 61 65 59 63 53 47 70 58 64 79 0.237412 0.9822 RandomExcursions 62 71 69 57 63 60 55 54 60 68 0.810870 0.9919 RandomExcursions 59 80 75 60 57 69 57 60 47 55 0.102326 0.9903 RandomExcursionsVariant 61 69 83 66 54 61 50 58 68 49 0.078283 0.9903 RandomExcursionsVariant 68 67 75 64 67 53 47 62 55 61 0.333510 0.9903 RandomExcursionsVariant 68 75 68 66 54 59 57 49 59 64 0.443349 0.9935 RandomExcursionsVariant 73 73 64 54 46 67 53 54 59 76 0.076720 0.9887 RandomExcursionsVariant 67 65 61 55 68 57 66 55 70 55 0.795684 0.9952 RandomExcursionsVariant 60 58 78 57 63 71 49 53 71 59 0.214235 0.9919 RandomExcursionsVariant 66 60 72 57 60 55 67 61 68 53 0.767454 0.9887 RandomExcursionsVariant 64 69 48 56 59 66 54 61 77 65 0.341275 0.9887 RandomExcursionsVariant 67 47 45 62 74 61 57 68 66 72 0.113843 0.9887 RandomExcursionsVariant 65 64 54 58 49 60 73 62 66 68 0.603024 0.9887 RandomExcursionsVariant 66 63 57 61 61 53 58 73 52 75 0.452542 0.9919 RandomExcursionsVariant 65 60 65 56 58 62 62 79 59 53 0.579291 0.9903 RandomExcursionsVariant 73 55 58 62 69 57 55 64 63 63 0.807864 0.9855 RandomExcursionsVariant 65 69 56 66 60 61 57 65 49 71 0.671212 0.9919 RandomExcursionsVariant 66 67 59 64 59 68 57 54 56 69 0.867170 0.9919 RandomExcursionsVariant 66 61 67 63 59 69 64 55 59 56 0.946637 0.9919 RandomExcursionsVariant 67 64 65 62 50 68 66 69 50 58 0.596228 0.9871 RandomExcursionsVariant 108 103 77 125 86 104 107 102 104 84 0.039587 0.9920 Serial 99 108 99 113 90 107 98 104 90 92 0.771469 0.9850 Serial 87 100 114 91 98 104 108 104 100 94 0.757790 0.9960 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 0.979602 for a sample size = 619 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -