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  1. BIRTHDAY SPACINGS TEST, M= 512 N=2**24 LAMBDA= 2.0000
  2. 100MiB.bin using bits 1 to 24 p-value= .552870
  3. 100MiB.bin using bits 2 to 25 p-value= .536970
  4. 100MiB.bin using bits 3 to 26 p-value= .297987
  5. 100MiB.bin using bits 4 to 27 p-value= .950996
  6. 100MiB.bin using bits 5 to 28 p-value= .477629
  7. 100MiB.bin using bits 6 to 29 p-value= .396053
  8. 100MiB.bin using bits 7 to 30 p-value= .991970
  9. 100MiB.bin using bits 8 to 31 p-value= .348855
  10. 100MiB.bin using bits 9 to 32 p-value= .680547
  11. The 9 p-values were
  12. .552870 .536970 .297987 .950996 .477629
  13. .396053 .991970 .348855 .680547
  14. A KSTEST for the 9 p-values yields .669267
  15. --------------------------------------------------------------------------------
  16. OPERM5 test for file 100MiB.bin
  17. chisquare for 99 degrees of freedom= 86.095; p-value= .180684
  18. OPERM5 test for file 100MiB.bin
  19. chisquare for 99 degrees of freedom= 86.237; p-value= .183618
  20. --------------------------------------------------------------------------------
  21. Binary rank test for 100MiB.bin
  22. Rank test for 31x31 binary matrices:
  23. rows from leftmost 31 bits of each 32-bit integer
  24. rank observed expected (o-e)^2/e sum
  25. 28 213 211.4 .011838 .012
  26. 29 5075 5134.0 .678263 .690
  27. 30 23064 23103.0 .065994 .756
  28. 31 11648 11551.5 .805741 1.562
  29. chisquare= 1.562 for 3 d. of f.; p-value= .437625
  30. Binary rank test for 100MiB.bin
  31. Rank test for 32x32 binary matrices:
  32. rows from leftmost 32 bits of each 32-bit integer
  33. rank observed expected (o-e)^2/e sum
  34. 29 234 211.4 2.412028 2.412
  35. 30 5182 5134.0 .448580 2.861
  36. 31 22964 23103.0 .836861 3.697
  37. 32 11620 11551.5 .405912 4.103
  38. chisquare= 4.103 for 3 d. of f.; p-value= .770884
  39. --------------------------------------------------------------------------------
  40. b-rank test for bits 1 to 8 p=1-exp(-SUM/2)= .35182
  41. b-rank test for bits 2 to 9 p=1-exp(-SUM/2)= .81920
  42. b-rank test for bits 3 to 10 p=1-exp(-SUM/2)= .67511
  43. b-rank test for bits 4 to 11 p=1-exp(-SUM/2)= .12521
  44. b-rank test for bits 5 to 12 p=1-exp(-SUM/2)= .96664
  45. b-rank test for bits 6 to 13 p=1-exp(-SUM/2)= .34357
  46. b-rank test for bits 7 to 14 p=1-exp(-SUM/2)= .34624
  47. b-rank test for bits 8 to 15 p=1-exp(-SUM/2)= .29944
  48. b-rank test for bits 9 to 16 p=1-exp(-SUM/2)= .11919
  49. b-rank test for bits 10 to 17 p=1-exp(-SUM/2)= .26068
  50. b-rank test for bits 11 to 18 p=1-exp(-SUM/2)= .35932
  51. b-rank test for bits 12 to 19 p=1-exp(-SUM/2)= .90843
  52. b-rank test for bits 13 to 20 p=1-exp(-SUM/2)= .29081
  53. b-rank test for bits 14 to 21 p=1-exp(-SUM/2)= .57128
  54. b-rank test for bits 15 to 22 p=1-exp(-SUM/2)= .10613
  55. b-rank test for bits 16 to 23 p=1-exp(-SUM/2)= .39502
  56. b-rank test for bits 17 to 24 p=1-exp(-SUM/2)= .31127
  57. b-rank test for bits 18 to 25 p=1-exp(-SUM/2)= .68237
  58. b-rank test for bits 19 to 26 p=1-exp(-SUM/2)= .18355
  59. b-rank test for bits 20 to 27 p=1-exp(-SUM/2)= .75453
  60. b-rank test for bits 21 to 28 p=1-exp(-SUM/2)= .71324
  61. b-rank test for bits 22 to 29 p=1-exp(-SUM/2)= .20633
  62. b-rank test for bits 23 to 30 p=1-exp(-SUM/2)= .21788
  63. b-rank test for bits 24 to 31 p=1-exp(-SUM/2)= .02818
  64. b-rank test for bits 25 to 32 p=1-exp(-SUM/2)= .73302
  65. TEST SUMMARY, 25 tests on 100,000 random 6x8 matrices
  66. These should be 25 uniform [0,1] random variables:
  67. .351825 .819204 .675108 .125206 .966636
  68. .343566 .346238 .299439 .119193 .260682
  69. .359316 .908434 .290807 .571282 .106131
  70. .395018 .311274 .682367 .183550 .754527
  71. .713236 .206330 .217878 .028181 .733015
  72. brank test summary for 100MiB.bin
  73. The KS test for those 25 supposed UNI's yields
  74. KS p-value= .712412
  75. --------------------------------------------------------------------------------
  76. No. missing words should average 141909. with sigma=428.
  77. tst no 1: 141589 missing words, -.75 sigmas from mean, p-value= .22710
  78. tst no 2: 141707 missing words, -.47 sigmas from mean, p-value= .31820
  79. tst no 3: 142155 missing words, .57 sigmas from mean, p-value= .71702
  80. tst no 4: 141581 missing words, -.77 sigmas from mean, p-value= .22150
  81. tst no 5: 141858 missing words, -.12 sigmas from mean, p-value= .45227
  82. tst no 6: 141362 missing words, -1.28 sigmas from mean, p-value= .10048
  83. tst no 7: 141998 missing words, .21 sigmas from mean, p-value= .58206
  84. tst no 8: 141738 missing words, -.40 sigmas from mean, p-value= .34447
  85. tst no 9: 142419 missing words, 1.19 sigmas from mean, p-value= .88314
  86. tst no 10: 141550 missing words, -.84 sigmas from mean, p-value= .20058
  87. tst no 11: 141981 missing words, .17 sigmas from mean, p-value= .56650
  88. tst no 12: 141542 missing words, -.86 sigmas from mean, p-value= .19538
  89. tst no 13: 141952 missing words, .10 sigmas from mean, p-value= .53971
  90. tst no 14: 141693 missing words, -.51 sigmas from mean, p-value= .30663
  91. tst no 15: 142291 missing words, .89 sigmas from mean, p-value= .81374
  92. tst no 16: 141516 missing words, -.92 sigmas from mean, p-value= .17905
  93. tst no 17: 142040 missing words, .31 sigmas from mean, p-value= .61993
  94. tst no 18: 141796 missing words, -.26 sigmas from mean, p-value= .39559
  95. tst no 19: 141748 missing words, -.38 sigmas from mean, p-value= .35311
  96. tst no 20: 143124 missing words, 2.84 sigmas from mean, p-value= .99773
  97. --------------------------------------------------------------------------------
  98. OPSO for 100MiB.bin using bits 23 to 32 142367 1.578 .9427
  99. OPSO for 100MiB.bin using bits 22 to 31 141693 -.746 .2278
  100. OPSO for 100MiB.bin using bits 21 to 30 142147 .820 .7938
  101. OPSO for 100MiB.bin using bits 20 to 29 141594 -1.087 .1384
  102. OPSO for 100MiB.bin using bits 19 to 28 141934 .085 .5339
  103. OPSO for 100MiB.bin using bits 18 to 27 141490 -1.446 .0741
  104. OPSO for 100MiB.bin using bits 17 to 26 141810 -.343 .3660
  105. OPSO for 100MiB.bin using bits 16 to 25 142231 1.109 .8663
  106. OPSO for 100MiB.bin using bits 15 to 24 141748 -.556 .2890
  107. OPSO for 100MiB.bin using bits 14 to 23 142733 2.840 .9977
  108. OPSO for 100MiB.bin using bits 13 to 22 141795 -.394 .3467
  109. OPSO for 100MiB.bin using bits 12 to 21 142048 .478 .6837
  110. OPSO for 100MiB.bin using bits 11 to 20 141704 -.708 .2395
  111. OPSO for 100MiB.bin using bits 10 to 19 141662 -.853 .1969
  112. OPSO for 100MiB.bin using bits 9 to 18 141781 -.443 .3291
  113. OPSO for 100MiB.bin using bits 8 to 17 141485 -1.463 .0717
  114. OPSO for 100MiB.bin using bits 7 to 16 141607 -1.043 .1486
  115. OPSO for 100MiB.bin using bits 6 to 15 142162 .871 .8082
  116. OPSO for 100MiB.bin using bits 5 to 14 141674 -.811 .2085
  117. OPSO for 100MiB.bin using bits 4 to 13 141723 -.643 .2603
  118. OPSO for 100MiB.bin using bits 3 to 12 142286 1.299 .9030
  119. OPSO for 100MiB.bin using bits 2 to 11 142133 .771 .7797
  120. OPSO for 100MiB.bin using bits 1 to 10 141498 -1.418 .0780
  121. OQSO for 100MiB.bin using bits 28 to 32 141599 -1.052 .1464
  122. OQSO for 100MiB.bin using bits 27 to 31 142501 2.006 .9776
  123. OQSO for 100MiB.bin using bits 26 to 30 141724 -.628 .2649
  124. OQSO for 100MiB.bin using bits 25 to 29 141573 -1.140 .1271
  125. OQSO for 100MiB.bin using bits 24 to 28 141827 -.279 .3901
  126. OQSO for 100MiB.bin using bits 23 to 27 142015 .358 .6399
  127. OQSO for 100MiB.bin using bits 22 to 26 141818 -.310 .3784
  128. OQSO for 100MiB.bin using bits 21 to 25 142126 .734 .7687
  129. OQSO for 100MiB.bin using bits 20 to 24 141774 -.459 .3232
  130. OQSO for 100MiB.bin using bits 19 to 23 142045 .460 .6772
  131. OQSO for 100MiB.bin using bits 18 to 22 141931 .073 .5293
  132. OQSO for 100MiB.bin using bits 17 to 21 142135 .765 .7779
  133. OQSO for 100MiB.bin using bits 16 to 20 142364 1.541 .9384
  134. OQSO for 100MiB.bin using bits 15 to 19 141486 -1.435 .0756
  135. OQSO for 100MiB.bin using bits 14 to 18 141911 .006 .5023
  136. OQSO for 100MiB.bin using bits 13 to 17 141820 -.303 .3810
  137. OQSO for 100MiB.bin using bits 12 to 16 141565 -1.167 .1216
  138. OQSO for 100MiB.bin using bits 11 to 15 142074 .558 .7116
  139. OQSO for 100MiB.bin using bits 10 to 14 141950 .138 .5548
  140. OQSO for 100MiB.bin using bits 9 to 13 141570 -1.150 .1250
  141. OQSO for 100MiB.bin using bits 8 to 12 141855 -.184 .4269
  142. OQSO for 100MiB.bin using bits 7 to 11 142149 .812 .7917
  143. OQSO for 100MiB.bin using bits 6 to 10 141627 -.957 .1693
  144. OQSO for 100MiB.bin using bits 5 to 9 142042 .450 .6735
  145. OQSO for 100MiB.bin using bits 4 to 8 142108 .673 .7497
  146. OQSO for 100MiB.bin using bits 3 to 7 141954 .151 .5602
  147. OQSO for 100MiB.bin using bits 2 to 6 141547 -1.228 .1097
  148. OQSO for 100MiB.bin using bits 1 to 5 141839 -.238 .4058
  149. DNA for 100MiB.bin using bits 31 to 32 141794 -.340 .3669
  150. DNA for 100MiB.bin using bits 30 to 31 142278 1.088 .8616
  151. DNA for 100MiB.bin using bits 29 to 30 142306 1.170 .8790
  152. DNA for 100MiB.bin using bits 28 to 29 142174 .781 .7825
  153. DNA for 100MiB.bin using bits 27 to 28 142584 1.990 .9767
  154. DNA for 100MiB.bin using bits 26 to 27 142016 .315 .6235
  155. DNA for 100MiB.bin using bits 25 to 26 142194 .840 .7995
  156. DNA for 100MiB.bin using bits 24 to 25 141612 -.877 .1902
  157. DNA for 100MiB.bin using bits 23 to 24 141925 .046 .5184
  158. DNA for 100MiB.bin using bits 22 to 23 141365 -1.606 .0542
  159. DNA for 100MiB.bin using bits 21 to 22 141726 -.541 .2943
  160. DNA for 100MiB.bin using bits 20 to 21 141701 -.615 .2694
  161. DNA for 100MiB.bin using bits 19 to 20 141644 -.783 .2169
  162. DNA for 100MiB.bin using bits 18 to 19 141515 -1.163 .1224
  163. DNA for 100MiB.bin using bits 17 to 18 142170 .769 .7790
  164. DNA for 100MiB.bin using bits 16 to 17 142240 .975 .8353
  165. DNA for 100MiB.bin using bits 15 to 16 141877 -.095 .4620
  166. DNA for 100MiB.bin using bits 14 to 15 141730 -.529 .2984
  167. DNA for 100MiB.bin using bits 13 to 14 141916 .020 .5079
  168. DNA for 100MiB.bin using bits 12 to 13 142031 .359 .6402
  169. DNA for 100MiB.bin using bits 11 to 12 141921 .034 .5137
  170. DNA for 100MiB.bin using bits 10 to 11 141316 -1.750 .0400
  171. DNA for 100MiB.bin using bits 9 to 10 141714 -.576 .2822
  172. DNA for 100MiB.bin using bits 8 to 9 141765 -.426 .3351
  173. DNA for 100MiB.bin using bits 7 to 8 141425 -1.429 .0765
  174. DNA for 100MiB.bin using bits 6 to 7 141375 -1.576 .0575
  175. DNA for 100MiB.bin using bits 5 to 6 141496 -1.219 .1114
  176. DNA for 100MiB.bin using bits 4 to 5 141807 -.302 .3814
  177. DNA for 100MiB.bin using bits 3 to 4 142036 .374 .6457
  178. DNA for 100MiB.bin using bits 2 to 3 141585 -.957 .1694
  179. DNA for 100MiB.bin using bits 1 to 2 141738 -.505 .3066
  180. --------------------------------------------------------------------------------
  181. Test results for 100MiB.bin
  182. Chi-square with 5^5-5^4=2500 d.of f. for sample size:2560000
  183. chisquare equiv normal p-value
  184. Results fo COUNT-THE-1's in successive bytes:
  185. byte stream for 100MiB.bin 2380.86 -1.685 .046003
  186. byte stream for 100MiB.bin 2573.76 1.043 .851546
  187. --------------------------------------------------------------------------------
  188. Chi-square with 5^5-5^4=2500 d.of f. for sample size: 256000
  189. chisquare equiv normal p value
  190. Results for COUNT-THE-1's in specified bytes:
  191. bits 1 to 8 2525.19 .356 .639179
  192. bits 2 to 9 2346.52 -2.170 .014985
  193. bits 3 to 10 2369.48 -1.846 .032453
  194. bits 4 to 11 2500.44 .006 .502501
  195. bits 5 to 12 2554.72 .774 .780504
  196. bits 6 to 13 2511.39 .161 .563958
  197. bits 7 to 14 2467.24 -.463 .321599
  198. bits 8 to 15 2528.53 .403 .656694
  199. bits 9 to 16 2565.57 .927 .823111
  200. bits 10 to 17 2496.78 -.045 .481863
  201. bits 11 to 18 2607.02 1.514 .934926
  202. bits 12 to 19 2533.46 .473 .681939
  203. bits 13 to 20 2484.18 -.224 .411485
  204. bits 14 to 21 2421.42 -1.111 .133214
  205. bits 15 to 22 2595.43 1.350 .911433
  206. bits 16 to 23 2592.03 1.302 .903460
  207. bits 17 to 24 2583.13 1.176 .880135
  208. bits 18 to 25 2334.15 -2.345 .009502
  209. bits 19 to 26 2508.40 .119 .547266
  210. bits 20 to 27 2525.34 .358 .639962
  211. bits 21 to 28 2540.53 .573 .716733
  212. bits 22 to 29 2456.05 -.621 .267141
  213. bits 23 to 30 2546.21 .653 .743275
  214. bits 24 to 31 2573.84 1.044 .851828
  215. bits 25 to 32 2569.24 .979 .836251
  216. --------------------------------------------------------------------------------
  217. CDPARK: result of ten tests on file 100MiB.bin
  218. Of 12,000 tries, the average no. of successes
  219. should be 3523 with sigma=21.9
  220. Successes: 3544 z-score: .959 p-value: .831196
  221. Successes: 3543 z-score: .913 p-value: .819442
  222. Successes: 3514 z-score: -.411 p-value: .340551
  223. Successes: 3551 z-score: 1.279 p-value: .899470
  224. Successes: 3507 z-score: -.731 p-value: .232514
  225. Successes: 3525 z-score: .091 p-value: .536382
  226. Successes: 3510 z-score: -.594 p-value: .276387
  227. Successes: 3532 z-score: .411 p-value: .659449
  228. Successes: 3527 z-score: .183 p-value: .572463
  229. Successes: 3536 z-score: .594 p-value: .723613
  230.  
  231. square size avg. no. parked sample sigma
  232. 100. 3528.900 14.338
  233. KSTEST for the above 10: p= .520030
  234. --------------------------------------------------------------------------------
  235. This is the MINIMUM DISTANCE test
  236. for random integers in the file 100MiB.bin
  237. Sample no. d^2 avg equiv uni
  238. 5 4.2495 1.2241 .986031
  239. 10 .6769 .9332 .493541
  240. 15 2.7681 .9577 .938086
  241. 20 .0314 .9294 .031069
  242. 25 1.2115 .9426 .704067
  243. 30 .3545 .8809 .299698
  244. 35 .6004 1.0208 .453034
  245. 40 5.7093 1.0812 .996779
  246. 45 .7310 1.0192 .520339
  247. 50 .0149 .9457 .014829
  248. 55 .0600 .9066 .058543
  249. 60 .3893 .8651 .323764
  250. 65 3.1968 .8669 .959757
  251. 70 .9957 .8562 .632391
  252. 75 .9689 .8566 .622348
  253. 80 .4416 .8934 .358396
  254. 85 .2246 .9510 .202081
  255. 90 .7343 .9346 .521943
  256. 95 1.7251 .9513 .823380
  257. 100 3.6401 .9645 .974226
  258. MINIMUM DISTANCE TEST for 100MiB.bin
  259. Result of KS test on 20 transformed mindist^2's:
  260. p-value= .957605
  261. --------------------------------------------------------------------------------
  262. The 3DSPHERES test for file 100MiB.bin
  263. sample no: 1 r^3= 58.753 p-value= .85892
  264. sample no: 2 r^3= 14.069 p-value= .37435
  265. sample no: 3 r^3= .802 p-value= .02639
  266. sample no: 4 r^3= 15.618 p-value= .40583
  267. sample no: 5 r^3= 54.808 p-value= .83909
  268. sample no: 6 r^3= 1.769 p-value= .05725
  269. sample no: 7 r^3= 12.531 p-value= .34145
  270. sample no: 8 r^3= 74.741 p-value= .91720
  271. sample no: 9 r^3= 80.669 p-value= .93205
  272. sample no: 10 r^3= 16.616 p-value= .42528
  273. sample no: 11 r^3= 32.815 p-value= .66507
  274. sample no: 12 r^3= 21.021 p-value= .50376
  275. sample no: 13 r^3= 13.762 p-value= .36792
  276. sample no: 14 r^3= 14.511 p-value= .38350
  277. sample no: 15 r^3= 36.008 p-value= .69888
  278. sample no: 16 r^3= .346 p-value= .01145
  279. sample no: 17 r^3= 4.009 p-value= .12509
  280. sample no: 18 r^3= 29.222 p-value= .62246
  281. sample no: 19 r^3= 9.712 p-value= .27654
  282. sample no: 20 r^3= 55.875 p-value= .84472
  283. 3DSPHERES test for file 100MiB.bin p-value= .159498
  284. --------------------------------------------------------------------------------
  285. RESULTS OF SQUEEZE TEST FOR 100MiB.bin
  286. Table of standardized frequency counts
  287. ( (obs-exp)/sqrt(exp) )^2
  288. for j taking values <=6,7,8,...,47,>=48:
  289. -1.5 .1 .6 .0 .2 .0
  290. -.4 -1.4 -1.2 1.5 -.3 -.1
  291. -1.1 -.6 .9 .4 -.3 -.5
  292. -1.2 .1 -1.0 1.7 .7 .2
  293. -.3 .6 .5 .2 .6 1.2
  294. 1.3 -.5 1.4 .1 .8 -.1
  295. -.2 1.1 -1.2 -.1 -.6 -1.0
  296. -1.1
  297. Chi-square with 42 degrees of freedom: 29.539
  298. z-score= -1.360 p-value= .073650
  299. ______________________________________________________________
  300. --------------------------------------------------------------------------------
  301. Test no. 1 p-value .333491
  302. Test no. 2 p-value .000308
  303. Test no. 3 p-value .408289
  304. Test no. 4 p-value .094625
  305. Test no. 5 p-value .625945
  306. Test no. 6 p-value .343917
  307. Test no. 7 p-value .651177
  308. Test no. 8 p-value .395870
  309. Test no. 9 p-value .772923
  310. Test no. 10 p-value .735761
  311. Results of the OSUM test for 100MiB.bin
  312. KSTEST on the above 10 p-values: .648060
  313. --------------------------------------------------------------------------------
  314. The RUNS test for file 100MiB.bin
  315. Up and down runs in a sample of 10000
  316. _________________________________________________
  317. Run test for 100MiB.bin :
  318. runs up; ks test for 10 p's: .141034
  319. runs down; ks test for 10 p's: .508669
  320. Run test for 100MiB.bin :
  321. runs up; ks test for 10 p's: .858326
  322. runs down; ks test for 10 p's: .249932
  323. --------------------------------------------------------------------------------
  324. Results of craps test for 100MiB.bin
  325. No. of wins: Observed Expected
  326. 98608 98585.86
  327. Chisq= 15.61 for 20 degrees of freedom, p= .25939
  328. Throws Observed Expected Chisq Sum
  329. SUMMARY FOR 100MiB.bin
  330. p-value for no. of wins: .539441
  331. p-value for throws/game: .259386
  332. Test completed. File 100MiB.bin
  333. :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
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