------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 42 120 219 167 77 70 63 108 69 65 0.000000 * 1.0000 * Frequency 348 185 139 135 96 55 20 16 6 0 0.000000 * 0.9420 * BlockFrequency 3 219 170 115 54 26 31 60 192 130 0.000000 * 1.0000 * CumulativeSums 2 116 99 200 167 72 20 22 34 268 0.000000 * 1.0000 * CumulativeSums 13 26 32 51 105 159 109 149 148 208 0.000000 * 1.0000 * Runs 82 157 192 196 145 113 65 36 13 1 0.000000 * 0.9960 LongestRun 103 119 79 99 87 100 107 109 84 113 0.081510 0.9900 Rank 129 125 103 93 98 90 98 82 84 98 0.008385 0.9930 FFT 14 118 198 195 92 61 43 73 125 81 0.000000 * 1.0000 * NonOverlappingTemplate 64 56 89 122 130 150 162 132 73 22 0.000000 * 0.9990 * NonOverlappingTemplate 1 6 5 44 83 115 128 163 256 199 0.000000 * 1.0000 * NonOverlappingTemplate 75 108 137 134 114 115 109 118 71 19 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 2 5 23 73 188 358 351 0.000000 * 1.0000 * NonOverlappingTemplate 19 165 188 182 140 131 85 53 30 7 0.000000 * 1.0000 * NonOverlappingTemplate 67 85 57 113 155 170 166 90 63 34 0.000000 * 1.0000 * NonOverlappingTemplate 0 20 102 139 149 105 124 121 131 109 0.000000 * 1.0000 * NonOverlappingTemplate 111 210 202 159 123 115 63 16 1 0 0.000000 * 1.0000 * NonOverlappingTemplate 28 85 67 89 96 116 121 139 103 156 0.000000 * 1.0000 * NonOverlappingTemplate 572 219 126 49 21 10 3 0 0 0 0.000000 * 0.8200 * NonOverlappingTemplate 110 200 204 177 97 56 63 53 38 2 0.000000 * 1.0000 * NonOverlappingTemplate 136 192 93 81 56 63 126 145 91 17 0.000000 * 0.9950 NonOverlappingTemplate 333 153 136 135 111 67 30 14 11 10 0.000000 * 0.9210 * NonOverlappingTemplate 155 159 128 148 136 117 70 42 30 15 0.000000 * 1.0000 * NonOverlappingTemplate 6 49 142 179 177 174 123 71 68 11 0.000000 * 1.0000 * NonOverlappingTemplate 69 77 164 116 105 106 141 134 64 24 0.000000 * 1.0000 * NonOverlappingTemplate 205 136 119 100 119 93 82 57 55 34 0.000000 * 0.9470 * NonOverlappingTemplate 0 0 0 0 19 81 142 223 271 264 0.000000 * 1.0000 * NonOverlappingTemplate 0 19 35 59 91 100 125 189 219 163 0.000000 * 1.0000 * NonOverlappingTemplate 919 63 14 4 0 0 0 0 0 0 0.000000 * 0.8040 * NonOverlappingTemplate 12 63 77 80 82 110 93 143 178 162 0.000000 * 1.0000 * NonOverlappingTemplate 60 128 148 203 183 151 87 30 10 0 0.000000 * 1.0000 * NonOverlappingTemplate 78 95 114 128 115 156 134 86 80 14 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 7 77 119 169 200 214 146 68 0.000000 * 1.0000 * NonOverlappingTemplate 0 14 93 159 196 152 113 110 87 76 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 3 11 23 49 121 274 519 0.000000 * 1.0000 * NonOverlappingTemplate 57 101 103 107 98 101 104 117 139 73 0.000001 * 1.0000 * NonOverlappingTemplate 3 30 103 172 192 183 137 105 60 15 0.000000 * 1.0000 * NonOverlappingTemplate 9 91 67 45 39 66 99 190 212 182 0.000000 * 1.0000 * NonOverlappingTemplate 40 82 153 200 167 131 69 95 61 2 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 2 27 54 103 257 557 0.000000 * 1.0000 * NonOverlappingTemplate 43 106 136 138 151 121 97 66 79 63 0.000000 * 1.0000 * NonOverlappingTemplate 210 195 215 180 116 41 27 16 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 12 45 65 94 155 220 200 209 0.000000 * 1.0000 * NonOverlappingTemplate 27 102 131 132 150 153 141 121 37 6 0.000000 * 1.0000 * NonOverlappingTemplate 40 160 129 96 98 135 164 104 52 22 0.000000 * 1.0000 * NonOverlappingTemplate 0 4 24 36 56 69 108 199 233 271 0.000000 * 1.0000 * NonOverlappingTemplate 0 11 45 96 82 96 139 212 234 85 0.000000 * 1.0000 * NonOverlappingTemplate 65 143 146 187 133 94 115 79 28 10 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 4 12 5 19 38 46 115 761 0.000000 * 1.0000 * NonOverlappingTemplate 1 69 137 129 110 133 139 90 93 99 0.000000 * 1.0000 * NonOverlappingTemplate 23 133 139 176 192 130 105 56 27 19 0.000000 * 1.0000 * NonOverlappingTemplate 287 232 71 117 77 64 50 44 16 42 0.000000 * 1.0000 * NonOverlappingTemplate 145 336 203 149 105 51 10 1 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 63 94 110 100 129 134 132 108 61 69 0.000000 * 1.0000 * NonOverlappingTemplate 24 75 174 194 166 109 95 82 72 9 0.000000 * 1.0000 * NonOverlappingTemplate 262 221 189 102 68 48 39 39 30 2 0.000000 * 1.0000 * NonOverlappingTemplate 1 31 87 158 248 224 136 97 17 1 0.000000 * 1.0000 * NonOverlappingTemplate 138 119 142 112 91 127 129 71 54 17 0.000000 * 0.9970 NonOverlappingTemplate 0 8 20 29 63 126 153 234 163 204 0.000000 * 1.0000 * NonOverlappingTemplate 2 38 99 140 167 162 123 97 113 59 0.000000 * 1.0000 * NonOverlappingTemplate 11 62 123 176 191 181 86 78 72 20 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 1 15 60 165 208 199 189 163 0.000000 * 1.0000 * NonOverlappingTemplate 186 204 131 109 85 92 56 56 61 20 0.000000 * 0.9970 NonOverlappingTemplate 3 40 67 90 60 65 102 113 169 291 0.000000 * 1.0000 * NonOverlappingTemplate 2 64 79 77 74 94 80 160 227 143 0.000000 * 1.0000 * NonOverlappingTemplate 271 217 149 77 59 46 63 74 44 0 0.000000 * 1.0000 * NonOverlappingTemplate 15 40 49 74 127 128 139 118 160 150 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 10 27 37 54 94 242 536 0.000000 * 1.0000 * NonOverlappingTemplate 8 36 56 138 163 166 129 141 90 73 0.000000 * 1.0000 * NonOverlappingTemplate 301 277 193 101 60 32 26 10 0 0 0.000000 * 0.9990 * NonOverlappingTemplate 294 204 141 101 87 68 56 24 17 8 0.000000 * 0.9500 * NonOverlappingTemplate 0 0 0 2 9 33 71 142 223 520 0.000000 * 1.0000 * NonOverlappingTemplate 299 245 84 52 20 29 40 38 53 140 0.000000 * 1.0000 * NonOverlappingTemplate 0 4 43 92 135 192 151 144 113 126 0.000000 * 1.0000 * NonOverlappingTemplate 0 3 34 71 145 129 136 147 151 184 0.000000 * 1.0000 * NonOverlappingTemplate 0 6 69 87 86 81 119 118 172 262 0.000000 * 1.0000 * NonOverlappingTemplate 301 210 204 133 105 38 9 0 0 0 0.000000 * 0.9930 NonOverlappingTemplate 79 134 162 154 106 72 84 90 75 44 0.000000 * 1.0000 * NonOverlappingTemplate 0 11 49 49 123 161 193 196 177 41 0.000000 * 1.0000 * NonOverlappingTemplate 2 63 108 161 121 126 117 86 114 102 0.000000 * 1.0000 * NonOverlappingTemplate 193 186 122 109 94 94 78 62 45 17 0.000000 * 1.0000 * NonOverlappingTemplate 0 22 85 142 158 159 132 127 113 62 0.000000 * 1.0000 * NonOverlappingTemplate 14 118 199 195 91 60 44 72 126 81 0.000000 * 1.0000 * NonOverlappingTemplate 0 14 34 46 92 139 184 209 192 90 0.000000 * 1.0000 * NonOverlappingTemplate 0 67 66 65 57 84 145 179 189 148 0.000000 * 1.0000 * NonOverlappingTemplate 3 26 98 91 120 124 163 138 110 127 0.000000 * 1.0000 * NonOverlappingTemplate 2 49 68 39 87 166 154 143 124 168 0.000000 * 1.0000 * NonOverlappingTemplate 92 148 134 105 98 90 83 124 90 36 0.000000 * 1.0000 * NonOverlappingTemplate 307 251 209 103 66 48 9 6 1 0 0.000000 * 0.9710 * NonOverlappingTemplate 227 101 112 120 103 84 58 52 55 88 0.000000 * 0.9840 NonOverlappingTemplate 0 2 47 77 104 137 145 171 182 135 0.000000 * 1.0000 * NonOverlappingTemplate 0 18 112 199 176 154 126 84 64 67 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 9 28 85 195 274 281 128 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 10 62 114 180 142 173 195 124 0.000000 * 1.0000 * NonOverlappingTemplate 648 154 57 30 24 25 27 31 4 0 0.000000 * 0.9020 * NonOverlappingTemplate 12 72 147 167 132 169 125 103 72 1 0.000000 * 1.0000 * NonOverlappingTemplate 31 117 199 201 157 100 78 47 53 17 0.000000 * 1.0000 * NonOverlappingTemplate 41 182 223 197 128 71 72 46 37 3 0.000000 * 1.0000 * NonOverlappingTemplate 25 96 100 84 135 136 143 145 110 26 0.000000 * 1.0000 * NonOverlappingTemplate 202 139 122 179 129 79 52 54 27 17 0.000000 * 0.9830 NonOverlappingTemplate 2 52 46 75 126 153 141 159 144 102 0.000000 * 1.0000 * NonOverlappingTemplate 58 76 66 98 109 114 158 153 109 59 0.000000 * 1.0000 * NonOverlappingTemplate 0 1 4 15 19 51 132 152 271 355 0.000000 * 1.0000 * NonOverlappingTemplate 13 214 293 195 146 93 24 22 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 19 54 57 54 62 84 116 303 251 0.000000 * 1.0000 * NonOverlappingTemplate 61 151 131 97 56 40 63 86 136 179 0.000000 * 1.0000 * NonOverlappingTemplate 6 59 115 56 103 138 145 148 141 89 0.000000 * 1.0000 * NonOverlappingTemplate 281 158 182 150 100 71 39 15 4 0 0.000000 * 0.9950 NonOverlappingTemplate 340 236 100 68 52 54 73 62 14 1 0.000000 * 1.0000 * NonOverlappingTemplate 115 79 82 66 66 98 111 113 110 160 0.000000 * 1.0000 * NonOverlappingTemplate 394 322 142 69 50 10 9 4 0 0 0.000000 * 0.9990 * NonOverlappingTemplate 5 26 54 67 174 229 208 68 58 111 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 4 13 48 59 128 142 303 303 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 15 34 82 128 197 222 183 139 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 14 26 22 53 72 142 671 0.000000 * 1.0000 * NonOverlappingTemplate 147 164 137 125 110 111 57 51 55 43 0.000000 * 0.9990 * NonOverlappingTemplate 0 12 29 55 76 119 165 226 228 90 0.000000 * 1.0000 * NonOverlappingTemplate 41 80 56 75 114 115 170 215 103 31 0.000000 * 1.0000 * NonOverlappingTemplate 2 108 181 143 103 118 116 119 81 29 0.000000 * 1.0000 * NonOverlappingTemplate 585 127 73 50 44 32 37 39 13 0 0.000000 * 0.9830 NonOverlappingTemplate 0 11 39 60 88 147 218 247 130 60 0.000000 * 1.0000 * NonOverlappingTemplate 28 132 142 167 186 161 107 72 5 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 10 37 107 136 134 130 171 275 0.000000 * 1.0000 * NonOverlappingTemplate 12 25 67 92 121 110 145 167 107 154 0.000000 * 1.0000 * NonOverlappingTemplate 564 233 98 42 44 15 4 0 0 0 0.000000 * 0.9230 * NonOverlappingTemplate 87 99 55 31 43 91 105 177 243 69 0.000000 * 1.0000 * NonOverlappingTemplate 5 90 208 230 201 112 71 57 25 1 0.000000 * 1.0000 * NonOverlappingTemplate 0 16 67 92 102 123 137 162 176 125 0.000000 * 1.0000 * NonOverlappingTemplate 11 66 99 117 107 115 115 91 118 161 0.000000 * 1.0000 * NonOverlappingTemplate 26 99 109 166 131 135 130 104 68 32 0.000000 * 1.0000 * NonOverlappingTemplate 297 160 169 169 120 54 25 6 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 60 104 108 121 128 129 150 105 95 0.000000 * 1.0000 * NonOverlappingTemplate 6 43 147 135 87 103 123 133 134 89 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 7 39 63 110 168 242 238 133 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 3 42 58 82 132 246 437 0.000000 * 1.0000 * NonOverlappingTemplate 9 35 57 107 97 87 122 145 128 213 0.000000 * 1.0000 * NonOverlappingTemplate 471 180 85 79 51 36 35 24 27 12 0.000000 * 0.9660 * NonOverlappingTemplate 413 244 144 68 39 30 24 21 17 0 0.000000 * 0.9660 * NonOverlappingTemplate 10 84 91 112 130 119 108 102 117 127 0.000000 * 1.0000 * NonOverlappingTemplate 13 83 119 175 180 190 138 72 30 0 0.000000 * 1.0000 * NonOverlappingTemplate 149 112 116 149 157 127 100 55 24 11 0.000000 * 0.9990 * NonOverlappingTemplate 201 273 202 132 66 35 27 24 39 1 0.000000 * 0.9980 NonOverlappingTemplate 6 47 110 116 159 205 154 103 73 27 0.000000 * 1.0000 * NonOverlappingTemplate 29 29 40 56 81 100 93 165 219 188 0.000000 * 1.0000 * NonOverlappingTemplate 234 147 103 125 133 82 79 62 32 3 0.000000 * 1.0000 * NonOverlappingTemplate 77 65 59 107 116 117 111 123 142 83 0.000000 * 1.0000 * NonOverlappingTemplate 48 85 125 121 114 107 112 103 103 82 0.000000 * 1.0000 * NonOverlappingTemplate 447 227 163 83 38 28 13 1 0 0 0.000000 * 0.9340 * NonOverlappingTemplate 169 114 137 128 106 127 109 88 20 2 0.000000 * 0.9960 NonOverlappingTemplate 3 12 36 52 86 98 98 138 225 252 0.000000 * 1.0000 * NonOverlappingTemplate 115 249 84 81 41 66 107 87 55 115 0.000000 * 0.9900 NonOverlappingTemplate 128 178 174 115 102 71 91 48 39 54 0.000000 * 0.9980 NonOverlappingTemplate 164 90 108 100 114 102 105 92 73 52 0.000000 * 0.9660 * NonOverlappingTemplate 100 93 83 74 94 123 114 94 105 120 0.007805 1.0000 * NonOverlappingTemplate 289 167 138 76 77 67 45 32 24 85 0.000000 * 0.9590 * NonOverlappingTemplate 0 21 87 141 157 159 133 127 113 62 0.000000 * 1.0000 * NonOverlappingTemplate 724 157 62 33 19 3 2 0 0 0 0.000000 * 0.8390 * OverlappingTemplate 35 88 86 104 140 124 111 125 85 102 0.000000 * 1.0000 * Universal 0 0 0 0 15 55 171 295 144 320 0.000000 * 1.0000 * ApproximateEntropy 84 81 66 69 59 57 66 72 77 61 0.266874 0.9725 * RandomExcursions 56 67 70 66 67 64 81 57 83 81 0.203682 0.9870 RandomExcursions 55 53 75 64 68 81 74 77 77 68 0.226700 0.9841 RandomExcursions 67 68 68 66 66 80 73 72 64 68 0.970281 0.9942 RandomExcursions 59 72 63 65 87 72 63 62 72 77 0.396877 0.9769 * RandomExcursions 65 64 72 71 67 76 74 70 66 67 0.989499 0.9928 RandomExcursions 70 70 67 70 68 71 70 77 61 68 0.990517 0.9942 RandomExcursions 64 64 66 65 68 69 55 80 65 96 0.057278 0.9913 RandomExcursions 80 63 61 61 62 67 72 85 70 71 0.454845 0.9884 RandomExcursionsVariant 72 67 62 65 57 81 75 76 67 70 0.677786 0.9913 RandomExcursionsVariant 66 62 66 72 67 75 81 64 69 70 0.901617 0.9884 RandomExcursionsVariant 63 59 50 76 73 85 66 81 64 75 0.092137 0.9884 RandomExcursionsVariant 62 62 62 66 82 54 83 60 85 76 0.058876 0.9899 RandomExcursionsVariant 70 57 59 73 80 63 65 70 75 80 0.476939 0.9942 RandomExcursionsVariant 74 72 64 65 66 63 84 60 71 73 0.692754 0.9884 RandomExcursionsVariant 74 65 89 56 61 62 76 72 75 62 0.184011 0.9928 RandomExcursionsVariant 68 77 62 70 64 62 68 67 70 84 0.731185 0.9855 RandomExcursionsVariant 65 60 70 67 83 58 72 66 80 71 0.519610 0.9855 RandomExcursionsVariant 67 66 60 72 64 73 67 75 72 76 0.940760 0.9827 RandomExcursionsVariant 77 48 61 62 76 71 73 69 74 81 0.191387 0.9827 RandomExcursionsVariant 74 56 59 74 53 82 75 72 79 68 0.167251 0.9899 RandomExcursionsVariant 75 62 62 60 72 74 86 65 58 78 0.278701 0.9913 RandomExcursionsVariant 81 60 68 64 77 56 80 72 61 73 0.345813 0.9884 RandomExcursionsVariant 78 65 69 74 76 65 70 65 70 60 0.901617 0.9884 RandomExcursionsVariant 85 65 69 50 82 83 68 60 69 61 0.055719 0.9957 RandomExcursionsVariant 87 70 72 60 64 76 68 64 62 69 0.516720 0.9928 RandomExcursionsVariant 6 44 89 123 134 163 175 69 108 89 0.000000 * 1.0000 * Serial 0 0 42 184 232 108 121 95 76 142 0.000000 * 1.0000 * Serial 68 108 117 111 116 101 96 95 95 93 0.027868 0.9980 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 0.980166 for a sample size = 692 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -