------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 0 0 0 0 0 15 103 142 289 451 0.000000 * 1.0000 * Frequency 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * BlockFrequency 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * CumulativeSums 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * CumulativeSums 0 12 564 297 110 17 0 0 0 0 0.000000 * 1.0000 * Runs 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.0000 * LongestRun 143 107 116 110 100 99 87 84 78 76 0.000022 * 0.9920 Rank 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.0000 * FFT 0 0 0 0 0 0 0 0 19 981 0.000000 * 1.0000 * NonOverlappingTemplate 42 454 438 66 0 0 0 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 1 97 752 150 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 27 81 122 273 497 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 17 148 469 366 0.000000 * 1.0000 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.6250 * NonOverlappingTemplate 0 0 0 0 14 108 208 451 219 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 4 232 764 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 2 107 315 576 0.000000 * 1.0000 * NonOverlappingTemplate 137 632 231 0 0 0 0 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.0000 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.7460 * NonOverlappingTemplate 0 0 0 9 54 238 442 218 39 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 54 327 555 64 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 0 3 37 116 301 306 104 95 38 0 0.000000 * 1.0000 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 0 19 89 317 381 157 37 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 981 19 0 0 0 0 0 0 0 0 0.000000 * 0.9650 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 1 0 0 0 0 5 994 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 19 120 83 158 324 296 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 113 887 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 6 83 399 420 92 0.000000 * 1.0000 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.7300 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.0000 * NonOverlappingTemplate 90 698 212 0 0 0 0 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 1 61 172 272 273 208 13 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 2 36 85 270 607 0.000000 * 1.0000 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.0910 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 1 999 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 4 37 147 530 282 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 32 968 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.4730 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 25 124 238 255 358 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 22 133 344 501 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 24 277 699 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 5 995 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 1 149 177 351 176 142 4 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 1 45 954 0.000000 * 1.0000 * NonOverlappingTemplate 228 483 223 66 0 0 0 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 16 82 84 192 433 184 9 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 59 941 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 15 71 113 801 0.000000 * 1.0000 * NonOverlappingTemplate 53 499 424 24 0 0 0 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.0000 * NonOverlappingTemplate 0 34 126 353 237 193 57 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 38 609 219 134 0 0 0 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 10 352 369 254 15 0 0 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 2 288 556 154 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 1 77 554 368 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 151 330 185 163 148 23 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 4 47 252 228 289 138 42 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 33 68 254 383 219 43 0 0.000000 * 1.0000 * NonOverlappingTemplate 39 473 400 88 0 0 0 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 177 277 282 257 7 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 18 282 700 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 2 998 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 7 86 322 404 181 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 4 996 0.000000 * 1.0000 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 1 999 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 19 981 0.000000 * 1.0000 * NonOverlappingTemplate 0 1 116 388 188 194 113 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 167 282 417 130 4 0 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 76 470 454 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 1 15 59 78 847 0.000000 * 1.0000 * NonOverlappingTemplate 633 348 19 0 0 0 0 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 9 85 172 340 394 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 13 151 532 270 33 1 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 998 2 0 0 0 0 0 0 0 0 0.000000 * 0.9940 NonOverlappingTemplate 0 0 0 21 178 121 232 294 154 0 0.000000 * 1.0000 * NonOverlappingTemplate 33 382 576 9 0 0 0 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 6 994 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 21 979 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 18 982 0.000000 * 1.0000 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 820 180 0 0 0 0 0 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 16 354 445 185 0 0 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.1420 * NonOverlappingTemplate 777 215 8 0 0 0 0 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 2 63 323 293 287 32 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 1 32 145 171 651 0.000000 * 1.0000 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.9800 * NonOverlappingTemplate 0 0 0 10 131 501 312 46 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 485 301 211 3 0 0 0 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 977 23 0 0 0 0 0 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 17 83 264 195 241 153 47 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 71 326 603 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 39 221 740 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 3 997 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 86 299 209 273 133 0 0.000000 * 1.0000 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.9600 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 0 12 95 170 305 227 143 48 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.7720 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 0 125 422 357 96 0 0 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 6 93 269 291 251 90 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 9 248 656 87 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 22 386 236 232 124 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 21 979 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 264 372 325 39 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 6 133 286 223 173 176 3 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 0 384 526 90 0 0 0 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.5930 * NonOverlappingTemplate 1 65 82 122 253 427 50 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 29 286 235 197 223 30 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 64 936 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 0 85 546 342 27 0 0 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 5 182 312 361 140 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 22 149 61 84 150 257 229 48 0.000000 * 1.0000 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.9340 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.6850 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.0000 * NonOverlappingTemplate 0 0 0 0 0 4 98 124 324 450 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 5 35 213 747 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 12 291 314 263 120 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 29 187 252 402 130 0 0 0 0 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 0 1000 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 0 0 0 4 25 197 774 0.000000 * 1.0000 * NonOverlappingTemplate 0 0 0 1 25 104 82 112 155 521 0.000000 * 1.0000 * NonOverlappingTemplate 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.9990 * NonOverlappingTemplate 0 0 0 0 0 0 0 0 1 999 0.000000 * 1.0000 * NonOverlappingTemplate 814 63 51 24 28 13 7 0 0 0 0.000000 * 0.5180 * OverlappingTemplate 629 143 29 79 43 45 25 5 2 0 0.000000 * 0.5750 * Universal 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.0000 * ApproximateEntropy 82 98 107 104 78 83 93 99 89 125 0.026382 0.9927 RandomExcursions 72 107 82 104 113 94 92 99 109 86 0.060573 0.9958 RandomExcursions 85 109 130 122 93 81 78 70 82 108 0.000012 * 0.9833 RandomExcursions 42 77 66 86 108 83 117 127 111 141 0.000000 * 0.9979 RandomExcursions 72 85 92 91 76 83 105 110 131 113 0.000152 0.9927 RandomExcursions 84 94 76 77 77 93 110 102 131 114 0.000179 0.9948 RandomExcursions 99 103 89 98 81 80 104 108 101 95 0.459916 0.9948 RandomExcursions 84 82 86 87 107 110 91 74 111 126 0.001979 0.9958 RandomExcursions 109 144 121 99 102 109 80 63 79 52 0.000000 * 0.9948 RandomExcursionsVariant 127 121 103 99 94 103 81 56 96 78 0.000006 * 0.9885 RandomExcursionsVariant 122 115 93 101 88 80 76 107 90 86 0.010161 0.9864 RandomExcursionsVariant 115 89 100 83 106 107 78 97 91 92 0.186300 0.9896 RandomExcursionsVariant 123 68 71 116 104 100 100 110 78 88 0.000092 * 0.9875 RandomExcursionsVariant 104 98 79 121 115 98 97 80 86 80 0.014077 0.9906 RandomExcursionsVariant 85 85 104 116 106 81 90 105 84 102 0.120835 0.9916 RandomExcursionsVariant 79 105 98 100 90 107 105 81 107 86 0.251298 0.9948 RandomExcursionsVariant 59 87 92 104 120 106 93 94 95 108 0.003030 0.9927 RandomExcursionsVariant 65 107 117 94 91 99 82 81 104 118 0.001571 0.9990 * RandomExcursionsVariant 80 122 94 118 103 100 97 75 94 75 0.002936 0.9958 RandomExcursionsVariant 95 112 93 100 110 90 93 94 100 71 0.193877 0.9906 RandomExcursionsVariant 111 104 86 115 102 119 90 87 72 72 0.001265 0.9958 RandomExcursionsVariant 111 97 91 113 106 105 110 90 72 63 0.001103 0.9916 RandomExcursionsVariant 122 95 95 105 94 112 91 95 66 83 0.007930 0.9948 RandomExcursionsVariant 115 107 97 111 111 90 88 90 84 65 0.006316 0.9927 RandomExcursionsVariant 92 146 117 110 95 105 87 61 72 73 0.000000 * 0.9937 RandomExcursionsVariant 81 151 114 149 98 102 86 75 44 58 0.000000 * 0.9927 RandomExcursionsVariant 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.0000 * Serial 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.0000 * Serial 86 92 96 117 115 99 99 89 107 100 0.382115 0.9870 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 0.981642 for a sample size = 958 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -