------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 8 66 135 108 95 116 129 102 118 123 0.000000 * 1.0000 * Frequency 113 35 41 53 51 70 107 115 165 250 0.000000 * 0.9790 * BlockFrequency 0 25 77 141 151 103 143 125 138 97 0.000000 * 1.0000 * CumulativeSums 0 21 86 129 138 97 103 143 142 141 0.000000 * 1.0000 * CumulativeSums 47 37 41 72 104 104 132 151 168 144 0.000000 * 1.0000 * Runs 121 84 101 102 113 115 111 88 80 85 0.018796 0.9980 LongestRun 133 95 93 96 93 106 95 114 84 91 0.032705 0.9800 * Rank 274 165 110 94 84 63 66 53 39 52 0.000000 * 0.9530 * FFT 144 124 97 89 69 84 85 94 122 92 0.000000 * 0.9880 NonOverlappingTemplate 22 53 67 68 105 135 121 139 118 172 0.000000 * 1.0000 * NonOverlappingTemplate 104 71 103 172 156 147 114 70 53 10 0.000000 * 0.9900 NonOverlappingTemplate 3 59 66 105 123 123 147 112 141 121 0.000000 * 1.0000 * NonOverlappingTemplate 181 104 101 107 90 89 99 91 75 63 0.000000 * 0.9560 * NonOverlappingTemplate 248 187 112 109 61 69 67 60 59 28 0.000000 * 0.9670 * NonOverlappingTemplate 243 138 131 108 95 84 75 56 40 30 0.000000 * 0.9710 * NonOverlappingTemplate 261 164 139 92 87 78 56 54 41 28 0.000000 * 0.9790 * NonOverlappingTemplate 92 91 95 99 103 108 108 128 110 66 0.005204 0.9920 NonOverlappingTemplate 61 149 131 115 111 99 87 100 82 65 0.000000 * 1.0000 * NonOverlappingTemplate 169 100 79 88 101 125 96 77 76 89 0.000000 * 0.9890 NonOverlappingTemplate 148 34 34 73 106 121 162 119 119 84 0.000000 * 0.9870 NonOverlappingTemplate 67 71 89 117 98 107 96 109 120 126 0.000046 * 1.0000 * NonOverlappingTemplate 164 151 115 110 62 53 59 65 113 108 0.000000 * 0.9700 * NonOverlappingTemplate 193 134 109 96 112 124 95 71 47 19 0.000000 * 0.9480 * NonOverlappingTemplate 43 96 127 141 134 125 121 91 76 46 0.000000 * 1.0000 * NonOverlappingTemplate 114 120 135 119 132 99 64 58 60 99 0.000000 * 1.0000 * NonOverlappingTemplate 151 96 81 97 91 115 101 97 79 92 0.000017 * 0.9980 NonOverlappingTemplate 96 120 92 113 116 88 109 106 102 58 0.000568 0.9970 NonOverlappingTemplate 37 67 66 83 75 99 113 156 131 173 0.000000 * 1.0000 * NonOverlappingTemplate 36 105 96 111 125 156 129 113 103 26 0.000000 * 1.0000 * NonOverlappingTemplate 340 123 93 85 74 77 55 50 63 40 0.000000 * 0.8740 * NonOverlappingTemplate 219 107 56 73 75 94 103 115 88 70 0.000000 * 0.9880 NonOverlappingTemplate 296 237 127 85 76 55 41 41 20 22 0.000000 * 0.9860 NonOverlappingTemplate 58 107 155 126 119 110 91 83 81 70 0.000000 * 0.9990 * NonOverlappingTemplate 336 168 108 89 67 45 36 33 61 57 0.000000 * 0.9540 * NonOverlappingTemplate 41 134 109 97 91 92 114 106 99 117 0.000000 * 1.0000 * NonOverlappingTemplate 215 122 140 121 77 94 92 75 53 11 0.000000 * 0.9720 * NonOverlappingTemplate 13 64 90 141 130 127 121 128 109 77 0.000000 * 1.0000 * NonOverlappingTemplate 180 107 122 147 111 109 102 74 40 8 0.000000 * 0.9930 NonOverlappingTemplate 222 119 80 78 94 84 109 96 81 37 0.000000 * 0.9870 NonOverlappingTemplate 73 102 91 111 105 138 126 97 84 73 0.000006 * 0.9980 NonOverlappingTemplate 137 138 130 118 91 96 82 89 67 52 0.000000 * 0.9940 NonOverlappingTemplate 267 66 82 102 104 91 77 81 88 42 0.000000 * 0.9650 * NonOverlappingTemplate 0 21 80 94 75 105 124 124 197 180 0.000000 * 1.0000 * NonOverlappingTemplate 156 104 82 85 78 78 88 93 109 127 0.000000 * 0.9810 * NonOverlappingTemplate 21 105 109 126 101 65 97 112 130 134 0.000000 * 1.0000 * NonOverlappingTemplate 113 82 81 89 89 103 114 129 133 67 0.000002 * 0.9780 * NonOverlappingTemplate 239 149 122 112 78 70 59 41 39 91 0.000000 * 0.9530 * NonOverlappingTemplate 273 126 127 140 87 88 49 39 20 51 0.000000 * 0.9940 NonOverlappingTemplate 121 78 50 43 62 63 105 118 170 190 0.000000 * 0.9910 NonOverlappingTemplate 231 58 65 74 54 54 61 73 86 244 0.000000 * 0.9100 * NonOverlappingTemplate 62 96 130 130 120 102 88 100 109 63 0.000000 * 1.0000 * NonOverlappingTemplate 191 91 86 88 109 106 110 100 65 54 0.000000 * 0.9740 * NonOverlappingTemplate 7 24 46 94 135 138 108 161 170 117 0.000000 * 1.0000 * NonOverlappingTemplate 84 126 91 89 113 112 115 106 87 77 0.004207 0.9810 * NonOverlappingTemplate 151 23 22 37 49 77 89 111 193 248 0.000000 * 0.9480 * NonOverlappingTemplate 73 150 147 150 124 110 100 61 44 41 0.000000 * 0.9980 NonOverlappingTemplate 465 175 97 58 60 43 29 28 33 12 0.000000 * 0.9200 * NonOverlappingTemplate 4 26 73 104 102 167 149 124 123 128 0.000000 * 1.0000 * NonOverlappingTemplate 126 108 94 101 115 110 104 76 72 94 0.002820 0.9970 NonOverlappingTemplate 212 142 160 107 83 76 56 69 52 43 0.000000 * 0.9620 * NonOverlappingTemplate 62 58 103 106 140 124 108 69 96 134 0.000000 * 1.0000 * NonOverlappingTemplate 126 170 117 89 89 88 97 84 57 83 0.000000 * 0.9880 NonOverlappingTemplate 153 71 100 122 107 117 126 85 62 57 0.000000 * 0.9470 * NonOverlappingTemplate 182 86 102 111 120 94 112 76 64 53 0.000000 * 0.9650 * NonOverlappingTemplate 37 87 98 96 81 105 117 134 148 97 0.000000 * 1.0000 * NonOverlappingTemplate 118 76 86 69 71 102 108 113 93 164 0.000000 * 1.0000 * NonOverlappingTemplate 55 39 70 72 49 85 98 122 150 260 0.000000 * 0.9920 NonOverlappingTemplate 257 189 125 87 82 54 55 51 54 46 0.000000 * 0.9740 * NonOverlappingTemplate 82 169 138 116 95 119 91 82 63 45 0.000000 * 0.9980 NonOverlappingTemplate 299 103 95 86 101 107 75 75 50 9 0.000000 * 0.8310 * NonOverlappingTemplate 6 57 65 86 95 168 164 136 85 138 0.000000 * 1.0000 * NonOverlappingTemplate 167 175 121 119 110 82 64 56 55 51 0.000000 * 0.9950 NonOverlappingTemplate 17 87 106 120 101 101 123 126 134 85 0.000000 * 1.0000 * NonOverlappingTemplate 302 148 141 119 107 60 58 53 12 0 0.000000 * 0.9420 * NonOverlappingTemplate 57 112 141 165 135 126 119 62 41 42 0.000000 * 1.0000 * NonOverlappingTemplate 114 100 133 143 109 94 95 80 74 58 0.000000 * 0.9860 NonOverlappingTemplate 22 65 86 98 122 100 115 78 138 176 0.000000 * 1.0000 * NonOverlappingTemplate 199 101 77 87 93 94 109 73 76 91 0.000000 * 0.9300 * NonOverlappingTemplate 301 140 91 109 66 58 65 73 55 42 0.000000 * 0.8370 * NonOverlappingTemplate 58 116 84 119 117 127 134 106 67 72 0.000000 * 1.0000 * NonOverlappingTemplate 212 99 76 86 71 84 94 110 115 53 0.000000 * 0.9300 * NonOverlappingTemplate 244 170 169 121 89 58 52 21 28 48 0.000000 * 0.9330 * NonOverlappingTemplate 144 123 99 88 69 84 85 93 123 92 0.000000 * 0.9880 NonOverlappingTemplate 45 43 51 87 129 135 155 138 114 103 0.000000 * 1.0000 * NonOverlappingTemplate 111 135 130 122 121 115 96 68 50 52 0.000000 * 0.9940 NonOverlappingTemplate 2 23 65 104 126 145 156 126 148 105 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 10 34 56 90 117 189 291 213 0.000000 * 1.0000 * NonOverlappingTemplate 66 133 168 139 143 96 83 88 65 19 0.000000 * 1.0000 * NonOverlappingTemplate 2 18 57 89 112 115 140 156 163 148 0.000000 * 1.0000 * NonOverlappingTemplate 197 96 102 98 81 56 63 67 107 133 0.000000 * 0.9800 * NonOverlappingTemplate 130 110 72 64 72 66 86 113 150 137 0.000000 * 0.9940 NonOverlappingTemplate 101 81 80 69 65 74 94 106 152 178 0.000000 * 0.9850 NonOverlappingTemplate 184 88 115 116 103 116 103 83 59 33 0.000000 * 0.9690 * NonOverlappingTemplate 161 122 108 109 108 103 82 79 61 67 0.000000 * 0.9950 NonOverlappingTemplate 39 106 150 150 137 124 119 71 61 43 0.000000 * 1.0000 * NonOverlappingTemplate 78 65 74 105 111 106 119 110 109 123 0.000034 * 0.9980 NonOverlappingTemplate 205 137 90 65 93 103 105 92 56 54 0.000000 * 0.9760 * NonOverlappingTemplate 205 147 109 73 76 83 80 86 86 55 0.000000 * 0.9690 * NonOverlappingTemplate 241 87 60 62 77 94 99 109 112 59 0.000000 * 0.9440 * NonOverlappingTemplate 101 94 110 114 117 96 88 112 102 66 0.013287 0.9980 NonOverlappingTemplate 127 134 103 107 89 107 131 120 58 24 0.000000 * 0.9810 * NonOverlappingTemplate 194 119 99 85 103 120 86 56 89 49 0.000000 * 0.9780 * NonOverlappingTemplate 93 144 134 109 109 106 91 80 69 65 0.000000 * 1.0000 * NonOverlappingTemplate 185 173 107 88 69 55 54 50 70 149 0.000000 * 0.9870 NonOverlappingTemplate 127 121 74 80 76 114 114 146 93 55 0.000000 * 0.9990 * NonOverlappingTemplate 18 128 176 179 100 100 73 76 56 94 0.000000 * 1.0000 * NonOverlappingTemplate 15 48 59 80 93 110 112 129 144 210 0.000000 * 1.0000 * NonOverlappingTemplate 58 69 93 107 120 143 123 122 87 78 0.000000 * 0.9990 * NonOverlappingTemplate 22 91 126 144 130 134 115 77 92 69 0.000000 * 1.0000 * NonOverlappingTemplate 229 139 143 94 110 97 81 46 39 22 0.000000 * 0.9310 * NonOverlappingTemplate 34 73 81 103 101 103 79 133 140 153 0.000000 * 1.0000 * NonOverlappingTemplate 33 90 80 104 99 112 118 117 107 140 0.000000 * 1.0000 * NonOverlappingTemplate 29 73 82 107 84 116 139 110 110 150 0.000000 * 1.0000 * NonOverlappingTemplate 11 75 86 116 121 139 143 126 110 73 0.000000 * 1.0000 * NonOverlappingTemplate 141 72 104 111 101 113 99 120 91 48 0.000000 * 0.9660 * NonOverlappingTemplate 18 68 80 72 85 86 126 145 180 140 0.000000 * 1.0000 * NonOverlappingTemplate 17 43 49 59 65 109 147 150 188 173 0.000000 * 1.0000 * NonOverlappingTemplate 110 118 74 72 98 97 98 81 105 147 0.000001 * 0.9920 NonOverlappingTemplate 72 160 148 143 148 138 90 57 34 10 0.000000 * 0.9990 * NonOverlappingTemplate 214 131 140 117 98 90 71 78 47 14 0.000000 * 0.9950 NonOverlappingTemplate 26 60 70 120 102 127 114 113 139 129 0.000000 * 1.0000 * NonOverlappingTemplate 119 127 72 79 84 80 89 106 106 138 0.000001 * 0.9970 NonOverlappingTemplate 185 142 122 89 68 92 96 95 62 49 0.000000 * 0.9930 NonOverlappingTemplate 237 93 118 81 103 86 53 81 84 64 0.000000 * 0.9900 NonOverlappingTemplate 47 87 129 177 127 139 102 76 67 49 0.000000 * 1.0000 * NonOverlappingTemplate 170 147 107 120 129 98 67 72 43 47 0.000000 * 0.9760 * NonOverlappingTemplate 125 117 104 66 84 95 103 112 97 97 0.002578 0.9890 NonOverlappingTemplate 136 99 77 95 96 82 91 95 96 133 0.000089 * 0.9970 NonOverlappingTemplate 29 40 68 67 83 87 89 169 192 176 0.000000 * 0.9980 NonOverlappingTemplate 26 106 133 112 125 92 100 89 106 111 0.000000 * 1.0000 * NonOverlappingTemplate 345 238 119 70 48 22 23 32 57 46 0.000000 * 0.9700 * NonOverlappingTemplate 86 136 117 101 75 62 78 85 106 154 0.000000 * 0.9990 * NonOverlappingTemplate 32 65 85 100 107 111 138 128 137 97 0.000000 * 1.0000 * NonOverlappingTemplate 53 101 109 106 104 105 82 82 127 131 0.000000 * 1.0000 * NonOverlappingTemplate 14 44 62 66 51 81 111 105 151 315 0.000000 * 1.0000 * NonOverlappingTemplate 6 35 64 95 153 139 136 181 139 52 0.000000 * 1.0000 * NonOverlappingTemplate 215 149 113 103 98 98 76 51 62 35 0.000000 * 0.9780 * NonOverlappingTemplate 68 107 93 109 102 94 109 114 104 100 0.081510 1.0000 * NonOverlappingTemplate 41 76 49 72 83 103 101 156 150 169 0.000000 * 1.0000 * NonOverlappingTemplate 0 14 34 65 98 130 114 134 152 259 0.000000 * 1.0000 * NonOverlappingTemplate 64 85 114 128 96 100 105 87 110 111 0.000572 0.9990 * NonOverlappingTemplate 7 25 78 78 111 114 152 178 161 96 0.000000 * 1.0000 * NonOverlappingTemplate 105 166 119 100 97 107 111 84 64 47 0.000000 * 0.9990 * NonOverlappingTemplate 63 68 82 86 91 119 117 94 137 143 0.000000 * 0.9990 * NonOverlappingTemplate 80 101 107 114 93 111 132 103 101 58 0.000037 * 0.9990 * NonOverlappingTemplate 18 64 102 118 116 85 110 141 154 92 0.000000 * 1.0000 * NonOverlappingTemplate 22 75 94 78 88 98 106 159 156 124 0.000000 * 1.0000 * NonOverlappingTemplate 26 48 67 103 117 159 127 147 136 70 0.000000 * 1.0000 * NonOverlappingTemplate 46 99 115 105 102 106 124 89 113 101 0.000006 * 0.9990 * NonOverlappingTemplate 138 44 102 139 160 149 118 93 39 18 0.000000 * 0.9870 NonOverlappingTemplate 152 161 157 158 124 100 64 57 26 1 0.000000 * 0.9870 NonOverlappingTemplate 143 186 144 134 99 79 70 57 56 32 0.000000 * 1.0000 * NonOverlappingTemplate 136 153 146 119 102 88 83 76 60 37 0.000000 * 0.9820 NonOverlappingTemplate 123 148 157 101 91 84 91 79 72 54 0.000000 * 0.9980 NonOverlappingTemplate 105 150 136 119 112 110 102 82 63 21 0.000000 * 0.9980 NonOverlappingTemplate 244 169 171 120 89 57 52 21 29 48 0.000000 * 0.9330 * NonOverlappingTemplate 63 89 86 109 104 112 119 104 98 116 0.002339 0.9980 OverlappingTemplate 170 106 105 100 67 78 84 116 82 92 0.000000 * 0.9790 * Universal 170 115 81 63 74 140 122 65 127 43 0.000000 * 0.9880 ApproximateEntropy 63 66 62 80 73 67 64 66 76 65 0.849412 0.9868 RandomExcursions 67 82 72 53 60 76 57 70 80 65 0.191078 0.9839 RandomExcursions 59 83 90 60 56 70 66 74 66 58 0.051069 0.9868 RandomExcursions 68 61 60 73 78 57 66 66 71 82 0.493241 0.9897 RandomExcursions 77 69 76 66 67 67 68 67 73 52 0.701124 0.9883 RandomExcursions 70 64 76 67 77 67 58 59 73 71 0.777491 0.9912 RandomExcursions 59 67 75 64 68 67 68 65 80 69 0.880055 0.9941 RandomExcursions 67 69 53 76 56 73 63 76 77 72 0.392456 0.9912 RandomExcursions 71 72 72 69 69 58 74 73 63 61 0.905510 0.9941 RandomExcursionsVariant 63 82 71 70 67 66 61 74 63 65 0.810650 0.9912 RandomExcursionsVariant 60 84 73 73 63 65 72 66 68 58 0.564036 0.9897 RandomExcursionsVariant 61 81 78 62 61 83 76 57 57 66 0.129840 0.9927 RandomExcursionsVariant 55 93 66 73 77 64 53 68 68 65 0.049179 0.9927 RandomExcursionsVariant 65 79 74 61 72 57 76 67 65 66 0.707152 0.9941 RandomExcursionsVariant 67 72 71 74 59 51 80 78 68 62 0.313747 0.9941 RandomExcursionsVariant 69 72 54 65 72 73 78 56 67 76 0.493241 0.9912 RandomExcursionsVariant 60 73 69 68 45 79 75 66 71 76 0.174954 0.9897 RandomExcursionsVariant 67 87 69 77 71 73 58 58 50 72 0.091747 0.9971 RandomExcursionsVariant 69 72 82 62 65 80 60 59 65 68 0.516465 0.9868 RandomExcursionsVariant 79 72 69 66 67 57 67 66 71 68 0.905510 0.9839 RandomExcursionsVariant 84 65 71 69 46 65 73 64 69 76 0.169374 0.9897 RandomExcursionsVariant 85 61 74 69 66 55 72 62 67 71 0.439994 0.9853 RandomExcursionsVariant 78 75 77 61 67 56 58 68 71 71 0.537113 0.9883 RandomExcursionsVariant 76 75 74 57 66 61 74 62 75 62 0.630995 0.9897 RandomExcursionsVariant 73 67 82 67 59 58 62 79 58 77 0.281806 0.9897 RandomExcursionsVariant 69 79 67 67 68 62 67 73 68 62 0.952869 0.9853 RandomExcursionsVariant 18 103 68 76 90 64 92 167 183 139 0.000000 * 1.0000 * Serial 77 67 89 87 66 50 51 115 189 209 0.000000 * 1.0000 * Serial 92 111 107 108 98 92 103 97 95 97 0.899171 0.9920 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 0.980094 for a sample size = 682 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -