------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 116 105 92 86 115 109 92 105 86 94 0.231956 991/1000 Frequency 73 109 114 90 110 103 88 114 100 99 0.076658 993/1000 BlockFrequency 117 97 102 111 91 98 113 99 88 84 0.291091 991/1000 CumulativeSums 117 93 98 87 107 104 94 104 104 92 0.628790 992/1000 CumulativeSums 123 101 93 93 97 84 103 97 95 114 0.254411 992/1000 Runs 102 101 86 110 105 88 95 96 117 100 0.534146 987/1000 LongestRun 100 93 89 104 92 94 108 104 111 105 0.823725 992/1000 Rank 99 101 97 100 100 105 115 104 96 83 0.757790 984/1000 FFT 98 103 86 98 110 102 110 90 99 104 0.803720 991/1000 NonOverlappingTemplate 99 87 94 110 108 90 107 107 99 99 0.769527 992/1000 NonOverlappingTemplate 99 106 102 87 86 96 114 102 112 96 0.552383 983/1000 NonOverlappingTemplate 98 96 110 91 118 92 100 90 107 98 0.593478 997/1000 NonOverlappingTemplate 97 87 98 129 103 101 91 94 98 102 0.238035 988/1000 NonOverlappingTemplate 105 88 100 105 102 94 100 88 121 97 0.506194 986/1000 NonOverlappingTemplate 110 101 96 90 97 93 112 108 91 102 0.771469 988/1000 NonOverlappingTemplate 104 102 79 116 95 122 87 104 92 99 0.097743 993/1000 NonOverlappingTemplate 98 104 114 102 95 104 102 103 96 82 0.725829 986/1000 NonOverlappingTemplate 94 107 109 90 106 100 109 86 93 106 0.674543 995/1000 NonOverlappingTemplate 114 100 106 101 93 96 94 75 113 108 0.217857 991/1000 NonOverlappingTemplate 99 110 110 93 114 103 89 96 94 92 0.645448 986/1000 NonOverlappingTemplate 89 94 93 102 107 92 111 107 91 114 0.564639 995/1000 NonOverlappingTemplate 91 115 96 110 87 104 97 111 96 93 0.532132 995/1000 NonOverlappingTemplate 99 98 99 101 108 115 100 98 92 90 0.864494 986/1000 NonOverlappingTemplate 99 117 102 104 115 77 96 112 87 91 0.098330 990/1000 NonOverlappingTemplate 113 104 97 107 110 89 87 81 99 113 0.234373 986/1000 NonOverlappingTemplate 88 100 103 103 109 107 104 80 113 93 0.413628 987/1000 NonOverlappingTemplate 96 97 105 106 109 92 96 109 98 92 0.914025 986/1000 NonOverlappingTemplate 115 93 104 97 95 100 118 85 103 90 0.365253 993/1000 NonOverlappingTemplate 98 109 93 96 107 105 98 101 99 94 0.976266 990/1000 NonOverlappingTemplate 99 99 107 131 103 97 95 88 100 81 0.075719 991/1000 NonOverlappingTemplate 105 104 102 115 93 89 109 97 93 93 0.711601 985/1000 NonOverlappingTemplate 89 94 92 104 104 108 123 107 100 79 0.146982 988/1000 NonOverlappingTemplate 91 105 116 107 93 91 90 96 104 107 0.614226 993/1000 NonOverlappingTemplate 104 98 103 98 87 96 99 114 101 100 0.900569 993/1000 NonOverlappingTemplate 80 100 103 96 118 94 78 105 110 116 0.057146 994/1000 NonOverlappingTemplate 104 88 76 96 106 110 117 104 107 92 0.159910 993/1000 NonOverlappingTemplate 95 118 101 87 100 83 101 96 122 97 0.154629 991/1000 NonOverlappingTemplate 100 85 114 96 95 98 91 111 106 104 0.616305 991/1000 NonOverlappingTemplate 96 105 113 91 92 112 98 94 98 101 0.794391 986/1000 NonOverlappingTemplate 90 102 106 113 89 92 93 107 98 110 0.641284 992/1000 NonOverlappingTemplate 100 98 103 106 107 105 90 94 98 99 0.976878 995/1000 NonOverlappingTemplate 104 115 95 95 90 109 86 101 103 102 0.655854 989/1000 NonOverlappingTemplate 107 99 104 100 97 100 99 95 100 99 0.999390 985/1000 NonOverlappingTemplate 83 89 95 101 100 82 122 111 111 106 0.085068 991/1000 NonOverlappingTemplate 111 91 96 115 102 98 114 81 85 107 0.170922 984/1000 NonOverlappingTemplate 89 87 106 91 113 91 121 108 94 100 0.214439 990/1000 NonOverlappingTemplate 119 104 105 98 93 108 92 98 103 80 0.353733 985/1000 NonOverlappingTemplate 96 105 109 104 93 107 106 83 110 87 0.504219 988/1000 NonOverlappingTemplate 104 123 95 118 104 85 92 100 81 98 0.074791 987/1000 NonOverlappingTemplate 106 108 77 101 105 113 95 91 102 102 0.402962 991/1000 NonOverlappingTemplate 98 100 99 106 96 100 97 99 111 94 0.987079 993/1000 NonOverlappingTemplate 89 109 93 110 109 82 96 108 89 115 0.223648 989/1000 NonOverlappingTemplate 115 98 116 104 91 78 93 101 103 101 0.258307 990/1000 NonOverlappingTemplate 102 107 89 80 81 120 125 95 92 109 0.011383 989/1000 NonOverlappingTemplate 88 116 107 103 86 116 99 94 89 102 0.295391 993/1000 NonOverlappingTemplate 92 101 90 111 106 103 86 110 100 101 0.711601 988/1000 NonOverlappingTemplate 79 106 103 111 98 82 93 116 102 110 0.143686 990/1000 NonOverlappingTemplate 96 89 95 102 102 90 109 101 101 115 0.761719 992/1000 NonOverlappingTemplate 104 89 103 89 99 100 114 87 102 113 0.528111 991/1000 NonOverlappingTemplate 88 91 98 107 83 108 124 86 120 95 0.032061 991/1000 NonOverlappingTemplate 94 124 90 89 105 100 90 109 104 95 0.289667 988/1000 NonOverlappingTemplate 83 104 90 120 110 104 105 106 93 85 0.183547 989/1000 NonOverlappingTemplate 97 86 100 97 99 112 107 102 100 100 0.903338 989/1000 NonOverlappingTemplate 102 115 88 90 105 123 85 105 100 87 0.106877 993/1000 NonOverlappingTemplate 96 95 105 93 105 126 93 94 90 103 0.342451 995/1000 NonOverlappingTemplate 102 118 85 96 92 101 110 107 97 92 0.478839 993/1000 NonOverlappingTemplate 95 101 106 110 101 92 99 98 95 103 0.976266 986/1000 NonOverlappingTemplate 91 87 106 103 112 100 104 88 108 101 0.674543 993/1000 NonOverlappingTemplate 88 122 109 86 96 115 94 98 98 94 0.199045 985/1000 NonOverlappingTemplate 105 96 107 106 115 93 99 92 79 108 0.375313 987/1000 NonOverlappingTemplate 103 99 81 92 101 102 90 107 114 111 0.431754 986/1000 NonOverlappingTemplate 109 105 86 109 111 105 100 87 96 92 0.556460 992/1000 NonOverlappingTemplate 103 96 84 104 100 105 106 98 106 98 0.910091 994/1000 NonOverlappingTemplate 80 98 95 116 106 93 99 121 100 92 0.173770 989/1000 NonOverlappingTemplate 103 87 106 106 87 111 82 103 108 107 0.361938 990/1000 NonOverlappingTemplate 94 102 109 105 91 81 102 102 110 104 0.624627 989/1000 NonOverlappingTemplate 93 111 115 102 97 90 93 102 105 92 0.689019 992/1000 NonOverlappingTemplate 97 93 106 106 106 121 94 97 102 78 0.249284 990/1000 NonOverlappingTemplate 76 113 99 107 104 97 94 94 118 98 0.202268 989/1000 NonOverlappingTemplate 109 101 108 84 81 98 108 102 102 107 0.448424 990/1000 NonOverlappingTemplate 105 109 103 86 96 85 113 112 85 106 0.258307 990/1000 NonOverlappingTemplate 111 92 99 80 87 104 93 121 106 107 0.142872 990/1000 NonOverlappingTemplate 98 103 86 98 110 102 110 91 98 104 0.818343 991/1000 NonOverlappingTemplate 108 108 91 96 101 116 99 87 88 106 0.502247 985/1000 NonOverlappingTemplate 86 105 84 89 107 109 108 103 107 102 0.480771 992/1000 NonOverlappingTemplate 102 107 104 90 102 101 103 106 82 103 0.786830 988/1000 NonOverlappingTemplate 106 96 104 88 110 105 80 114 95 102 0.382115 994/1000 NonOverlappingTemplate 87 98 88 100 88 108 108 94 93 136 0.019857 990/1000 NonOverlappingTemplate 80 121 90 91 113 110 100 98 106 91 0.118120 991/1000 NonOverlappingTemplate 91 100 109 107 91 97 100 99 102 104 0.954930 989/1000 NonOverlappingTemplate 106 102 106 94 99 100 87 103 100 103 0.964295 990/1000 NonOverlappingTemplate 112 87 92 92 91 102 95 95 113 121 0.221317 983/1000 NonOverlappingTemplate 101 104 94 112 105 105 92 89 93 105 0.829047 986/1000 NonOverlappingTemplate 85 114 98 96 105 119 88 93 98 104 0.319084 994/1000 NonOverlappingTemplate 87 99 106 106 106 83 96 102 110 105 0.624627 989/1000 NonOverlappingTemplate 103 96 95 100 107 107 87 109 101 95 0.894918 992/1000 NonOverlappingTemplate 98 99 96 104 100 114 104 104 87 94 0.859637 986/1000 NonOverlappingTemplate 73 87 118 83 116 108 94 107 104 110 0.016037 995/1000 NonOverlappingTemplate 88 109 107 91 103 91 87 99 115 110 0.401199 991/1000 NonOverlappingTemplate 95 85 104 103 107 103 110 111 93 89 0.612147 992/1000 NonOverlappingTemplate 114 110 98 88 100 95 100 93 104 98 0.800005 985/1000 NonOverlappingTemplate 95 116 114 106 114 87 103 89 81 95 0.124476 991/1000 NonOverlappingTemplate 91 96 114 119 85 95 104 106 96 94 0.344048 991/1000 NonOverlappingTemplate 95 76 93 117 107 91 118 101 101 101 0.123755 992/1000 NonOverlappingTemplate 105 98 101 101 105 84 100 108 89 109 0.761719 995/1000 NonOverlappingTemplate 108 94 123 95 99 89 91 90 110 101 0.305599 991/1000 NonOverlappingTemplate 110 117 87 99 104 103 89 102 90 99 0.524101 992/1000 NonOverlappingTemplate 103 107 94 102 98 96 97 102 97 104 0.996677 986/1000 NonOverlappingTemplate 101 100 91 85 95 100 103 102 119 104 0.614226 992/1000 NonOverlappingTemplate 90 112 104 104 113 97 89 103 102 86 0.550347 990/1000 NonOverlappingTemplate 102 110 108 84 110 111 90 86 96 103 0.378705 986/1000 NonOverlappingTemplate 98 112 97 109 87 102 93 95 100 107 0.803720 987/1000 NonOverlappingTemplate 98 96 105 88 96 107 102 97 105 106 0.952152 990/1000 NonOverlappingTemplate 87 99 111 108 103 89 87 109 105 102 0.570792 992/1000 NonOverlappingTemplate 96 104 121 108 97 92 101 91 90 100 0.542228 990/1000 NonOverlappingTemplate 104 104 79 92 97 109 105 109 113 88 0.314544 990/1000 NonOverlappingTemplate 86 94 107 105 112 87 109 109 101 90 0.454053 992/1000 NonOverlappingTemplate 96 102 100 95 113 94 77 112 105 106 0.363593 991/1000 NonOverlappingTemplate 99 100 106 98 98 98 103 103 94 101 0.999340 994/1000 NonOverlappingTemplate 100 85 103 103 99 101 101 96 106 106 0.949278 992/1000 NonOverlappingTemplate 104 112 84 108 100 91 95 103 95 108 0.653773 992/1000 NonOverlappingTemplate 103 112 93 91 96 90 105 97 110 103 0.796268 990/1000 NonOverlappingTemplate 88 108 82 95 110 116 98 112 90 101 0.235589 988/1000 NonOverlappingTemplate 98 109 112 101 92 84 82 106 123 93 0.094285 990/1000 NonOverlappingTemplate 104 89 110 106 96 104 122 91 86 92 0.255705 991/1000 NonOverlappingTemplate 92 104 93 124 87 104 99 106 98 93 0.366918 994/1000 NonOverlappingTemplate 91 109 104 85 101 88 90 98 134 100 0.034257 996/1000 NonOverlappingTemplate 90 100 105 115 109 98 100 99 94 90 0.767582 992/1000 NonOverlappingTemplate 100 96 95 93 106 103 101 102 113 91 0.917870 993/1000 NonOverlappingTemplate 92 83 121 102 101 97 96 112 98 98 0.370262 991/1000 NonOverlappingTemplate 98 91 100 111 99 93 110 106 73 119 0.096000 990/1000 NonOverlappingTemplate 94 109 104 85 106 112 82 98 85 125 0.046269 991/1000 NonOverlappingTemplate 112 92 100 107 99 90 106 107 103 84 0.628790 988/1000 NonOverlappingTemplate 108 97 87 105 99 102 95 93 99 115 0.767582 982/1000 NonOverlappingTemplate 93 114 101 95 99 108 102 90 93 105 0.821937 990/1000 NonOverlappingTemplate 96 101 92 96 99 93 104 101 121 97 0.725829 993/1000 NonOverlappingTemplate 113 115 95 111 81 88 97 86 112 102 0.123038 984/1000 NonOverlappingTemplate 92 96 114 96 88 95 99 95 113 112 0.534146 986/1000 NonOverlappingTemplate 94 100 100 100 101 93 100 98 128 86 0.296834 987/1000 NonOverlappingTemplate 97 101 103 114 86 94 107 100 106 92 0.743915 988/1000 NonOverlappingTemplate 86 97 114 87 115 102 92 96 108 103 0.390721 990/1000 NonOverlappingTemplate 117 104 105 99 99 80 110 107 89 90 0.274341 991/1000 NonOverlappingTemplate 79 106 95 93 90 97 108 112 116 104 0.249284 991/1000 NonOverlappingTemplate 98 114 107 85 101 109 102 86 117 81 0.120207 990/1000 NonOverlappingTemplate 99 112 105 102 101 92 99 83 95 112 0.639202 988/1000 NonOverlappingTemplate 91 83 100 98 106 94 117 104 96 111 0.448424 993/1000 NonOverlappingTemplate 110 84 100 95 84 98 105 115 119 90 0.140453 982/1000 NonOverlappingTemplate 101 95 105 115 93 102 84 85 115 105 0.304126 984/1000 NonOverlappingTemplate 82 101 109 97 93 119 91 107 96 105 0.353733 994/1000 NonOverlappingTemplate 90 105 85 115 84 97 96 115 100 113 0.186566 989/1000 NonOverlappingTemplate 107 98 83 102 93 100 96 117 88 116 0.275709 988/1000 NonOverlappingTemplate 110 78 107 106 102 100 101 97 99 100 0.653773 986/1000 NonOverlappingTemplate 105 99 101 101 96 97 98 94 98 111 0.988291 992/1000 NonOverlappingTemplate 87 76 92 93 117 111 112 106 96 110 0.074791 993/1000 NonOverlappingTemplate 87 101 86 91 117 123 102 98 100 95 0.163513 988/1000 NonOverlappingTemplate 110 93 99 79 87 106 92 121 104 109 0.123038 990/1000 NonOverlappingTemplate 115 106 102 115 99 103 87 101 84 88 0.296834 987/1000 OverlappingTemplate 99 100 90 108 76 95 109 109 108 106 0.328297 988/1000 Universal 121 104 109 93 98 112 95 97 93 78 0.161703 989/1000 ApproximateEntropy 56 50 58 53 58 59 69 69 61 59 0.776579 588/592 RandomExcursions 49 59 61 42 62 62 55 71 74 57 0.138887 584/592 RandomExcursions 55 56 68 49 67 60 60 60 64 53 0.773307 588/592 RandomExcursions 52 59 59 69 53 65 58 60 67 50 0.715955 588/592 RandomExcursions 70 61 63 59 64 50 57 55 64 49 0.674122 587/592 RandomExcursions 68 48 75 64 60 67 56 53 46 55 0.154350 580/592 RandomExcursions 65 72 59 56 59 42 64 50 71 54 0.154350 581/592 RandomExcursions 72 59 48 63 61 50 67 64 50 58 0.390251 586/592 RandomExcursions 52 58 60 64 71 55 52 49 63 68 0.517160 587/592 RandomExcursionsVariant 51 65 65 65 62 52 51 58 60 63 0.808502 588/592 RandomExcursionsVariant 53 57 60 69 64 58 57 55 66 53 0.866882 587/592 RandomExcursionsVariant 54 55 54 53 70 56 82 57 53 58 0.137549 588/592 RandomExcursionsVariant 56 61 45 51 71 64 74 49 58 63 0.149996 586/592 RandomExcursionsVariant 46 64 55 66 50 71 60 62 57 61 0.483824 589/592 RandomExcursionsVariant 52 61 58 58 57 68 55 72 59 52 0.705570 590/592 RandomExcursionsVariant 60 48 60 58 60 62 61 68 50 65 0.770021 589/592 RandomExcursionsVariant 55 62 62 53 71 68 62 53 60 46 0.470757 587/592 RandomExcursionsVariant 60 71 60 54 65 51 51 52 61 67 0.568635 584/592 RandomExcursionsVariant 64 48 58 64 76 56 69 45 53 59 0.137549 584/592 RandomExcursionsVariant 69 52 60 51 56 59 72 51 69 53 0.347748 582/592 RandomExcursionsVariant 62 55 62 66 62 65 61 49 52 58 0.853077 581/592 RandomExcursionsVariant 55 61 55 72 68 62 65 62 47 45 0.241404 584/592 RandomExcursionsVariant 64 49 74 48 65 75 40 63 54 60 0.019435 584/592 RandomExcursionsVariant 62 61 66 60 55 50 63 65 58 52 0.880093 584/592 RandomExcursionsVariant 63 58 64 54 65 62 51 55 67 53 0.838718 585/592 RandomExcursionsVariant 60 57 58 72 52 56 57 70 62 48 0.507065 583/592 RandomExcursionsVariant 114 100 88 113 99 116 90 101 97 82 0.213309 984/1000 Serial 117 110 97 87 100 114 87 112 98 78 0.074791 989/1000 Serial 104 101 95 88 77 114 111 96 111 103 0.225998 995/1000 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 = 578 for a sample size = 592 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -