A Chi-Square-Probability should range uniformly between 0 and 1; any value within the range is acceptable. Values too close to either edge, however, are suspect. A reasonable cut-off for success is being farther from an edge than about one part per thousand, or 0.1%. This is the value that is used to determine whether a test passes or fails. Processed 10000000 Random Numbers, generated by "2^e modulus(shorts)" --------------------------------------------------- Total is 4e+07; sum of components is 4e+07 Mean should be 156250 # counts Chi2-cont 0 156432 33124 1 155880 136900 2 156127 15129 3 156397 21609 4 156066 33856 5 156821 326041 6 156494 59536 7 155560 476100 8 156612 131044 9 156593 117649 10 156165 7225 11 156486 55696 12 156212 1444 13 156373 15129 14 156352 10404 15 156186 4096 16 156214 1296 17 156099 22801 18 156379 16641 19 156345 9025 20 156393 20449 21 156119 17161 22 155971 77841 23 156133 13689 24 155944 93636 25 156885 403225 26 156426 30976 27 156219 961 28 156644 155236 29 156170 6400 30 156106 20736 31 156448 39204 32 156486 55696 33 155702 300304 34 157009 576081 35 155883 134689 36 156361 12321 37 156199 2601 38 156110 19600 39 156170 6400 40 155851 159201 41 155847 162409 42 155736 264196 43 156134 13456 44 156180 4900 45 156540 84100 46 156521 73441 47 156094 24336 48 156855 366025 49 155983 71289 50 156384 17956 51 156271 441 52 156651 160801 53 156022 51984 54 156435 34225 55 156289 1521 56 156365 13225 57 156186 4096 58 156493 59049 59 156042 43264 60 155869 145161 61 156229 441 62 156097 23409 63 156359 11881 64 155854 156816 65 156338 7744 66 156157 8649 67 156167 6889 68 156154 9216 69 156202 2304 70 156588 114244 71 156391 19881 72 156527 76729 73 156057 37249 74 156638 150544 75 156004 60516 76 156485 55225 77 156447 38809 78 156717 218089 79 156164 7396 80 155564 470596 81 156292 1764 82 156294 1936 83 156226 576 84 156578 107584 85 156225 625 86 156384 17956 87 156200 2500 88 156136 12996 89 156524 75076 90 156690 193600 91 156482 53824 92 156529 77841 93 156639 151321 94 156597 120409 95 156233 289 96 156450 40000 97 156527 76729 98 156231 361 99 156115 18225 100 155727 273529 101 156053 38809 102 155618 399424 103 156138 12544 104 157006 571536 105 156007 59049 106 156397 21609 107 156958 501264 108 156147 10609 109 156383 17689 110 155995 65025 111 156731 231361 112 156814 318096 113 156237 169 114 156529 77841 115 156449 39601 116 156261 121 117 156380 16900 118 156240 100 119 156467 47089 120 156238 144 121 156224 676 122 156330 6400 123 156387 18769 124 156032 47524 125 156271 441 126 156175 5625 127 155501 561001 128 156363 12769 129 156362 12544 130 156022 51984 131 156042 43264 132 156372 14884 133 155885 133225 134 155588 438244 135 156687 190969 136 155912 114244 137 156783 284089 138 156165 7225 139 156011 57121 140 156094 24336 141 156158 8464 142 156255 25 143 156139 12321 144 155907 117649 145 156690 193600 146 155921 108241 147 156582 110224 148 156345 9025 149 156084 27556 150 155829 177241 151 156035 46225 152 156528 77284 153 156173 5929 154 156760 260100 155 156439 35721 156 155588 438244 157 156159 8281 158 156064 34596 159 156320 4900 160 156328 6084 161 156574 104976 162 156876 391876 163 156131 14161 164 155945 93025 165 155936 98596 166 156167 6889 167 155502 559504 168 156261 121 169 155884 133956 170 156738 238144 171 156334 7056 172 156120 16900 173 156245 25 174 156141 11881 175 156721 221841 176 155841 167281 177 155984 70756 178 155850 160000 179 156157 8649 180 156590 115600 181 156656 164836 182 156445 38025 183 156362 12544 184 156666 173056 185 155883 134689 186 156227 529 187 156368 13924 188 155984 70756 189 155888 131044 190 156432 33124 191 155450 640000 192 156008 58564 193 156712 213444 194 156159 8281 195 156010 57600 196 156001 62001 197 155958 85264 198 155983 71289 199 156319 4761 200 156484 54756 201 156396 21316 202 156117 17689 203 156996 556516 204 155837 170569 205 155983 71289 206 156041 43681 207 155776 224676 208 156513 69169 209 156722 222784 210 155946 92416 211 155547 494209 212 155920 108900 213 156177 5329 214 155863 149769 215 156242 64 216 156333 6889 217 155761 239121 218 156197 2809 219 156772 272484 220 156846 355216 221 156367 13689 222 156179 5041 223 156185 4225 224 155887 131769 225 156050 40000 226 156040 44100 227 156423 29929 228 156604 125316 229 156089 25921 230 156525 75625 231 156358 11664 232 156436 34596 233 156980 532900 234 156386 18496 235 156141 11881 236 156558 94864 237 156078 29584 238 155557 480249 239 156019 53361 240 156512 68644 241 156370 14400 242 156419 28561 243 156165 7225 244 156440 36100 245 156470 48400 246 156269 361 247 156218 1024 248 155854 156816 249 156237 169 250 155878 138384 251 156188 3844 252 156712 213444 253 156417 27889 254 156001 62001 255 156316 4356 High-bit on 4.99847e+06 times; average = 0.499847 Eighth-bit(0) on 4.99981e+06 times; average = 0.499981 Eighth-bit(1) on 4.99864e+06 times; average = 0.499864 Eighth-bit(2) on 4.99897e+06 times; average = 0.499897 Eighth-bit(3) on 4.99847e+06 times; average = 0.499847 --------------------------------------------------- 1.) Frequency Test FAILED, Chi-squared Probability = 1.000000 2.) Serial Test PASSED, Chi-squared Probability = 0.117371 3.) Gap Test PASSED, Chi-squared Probability = 0.029553 4.) Poker Test PASSED, Chi-squared Probability = 0.749371 5.) Coupon Test PASSED, Chi-squared Probability = 0.285663 6.) Permutation Test PASSED, Chi-squared Probability = 0.989890 7.) Runs Test PASSED, Chi-squared Probability = 0.012405 8.) Maximum Test PASSED, Chi-squared Probability = 0.989399 9.) M-tuple Test PASSED, Chi-squared Probability = 0.924522 10.) Birthdays Test PASSED, Chi-squared Probability = 0.825255 Seed time: 0.040574 seconds; Test time: 235.678666 sec; 2.35679e-05 sec/rand. ---------------------------------------------------------------------- Copyright 2006, HEPArts, Inc. All Rights Reserved.