RESULTS OF BIRTHDAY SPACINGS FOR dh-ranFile-2018-07-05_10:31
(no_bdays=1024, no_days/yr=2^24, lambda=16.00, sample size=500)
Bits used mean chisqr p-value
1 to 24 15.94 16.0252 0.477953
2 to 25 15.82 20.7238 0.761113
3 to 26 16.02 12.9707 0.261853
4 to 27 15.71 15.5843 0.446529
5 to 28 15.81 10.3366 0.111097
6 to 29 15.78 21.2652 0.785346
7 to 30 16.10 18.9973 0.671312
8 to 31 15.60 14.3753 0.359616
9 to 32 15.79 32.6297 0.987447
Chisquare degrees of freedom: 17
---------------------------------------------------------------
p-value for KStest on those 9 p-values: 0.907418
Tough bday spacings test for dh-ranFile-2018-07-05_10:31: 4096 birthdays, year=2^32 days
Table of Expected vs. Observed counts:
Duplicates 0 1 2 3 4 5 6 7 8 9 >=10
Expected 9.2 36.6 73.3 97.7 97.7 78.1 52.1 29.8 14.9 6.6 4.1
Observed 12 30 83 96 93 78 47 28 22 9 2
(O-E)^2/E 0.9 1.2 1.3 0.0 0.2 0.0 0.5 0.1 3.4 0.9 1.0
Birthday Spacings: Sum(O-E)^2/E= 9.545, p= 0.519
RESULTS OF GCD FOR dh-ranFile-2018-07-05_10:31
Euclid's algorithm:
p-value, steps to gcd: 0.207787
p-value, dist. of gcd's: 0.552510
Gorilla test for 2^26 bits, positions 0 to 31 for dh-ranFile-2018-07-05_10:31:
Note: lengthy test---for example, ~20 minutes for 850MHz PC
Bits 0 to 7---> 0.037 0.062 0.881 0.380 0.835 0.760 0.859 0.299
Bits 8 to 15---> 0.535 0.672 0.608 0.460 0.411 0.989 0.485 0.800
Bits 16 to 23---> 0.891 0.419 0.622 0.327 0.616 0.068 0.774 0.284
Bits 24 to 31---> 0.634 0.447 0.700 0.262 0.685 0.197 0.662 0.161
KS test for the above 32 p values: 0.242
The OPERM5 test for 10 million (overlapping) 5-tuples for dh-ranFile-2018-07-05_10:31,
p-values for 5 runs: 0.3281, 0.0000, 0.2825, 0.4512, 0.1016
Rank test for binary matrices (31x31) for dh-ranFile-2018-07-05_10:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=28 220 211.4 0.348 0.348
r= 29 5165 5134.0 0.187 0.535
r= 30 23089 23103.0 0.009 0.544
r= 31 11526 11551.5 0.056 0.600
chi-square = 0.600 with df = 3; p-value = 0.104
--------------------------------------------------------------
Rank test for binary matrices (32x32) for dh-ranFile-2018-07-05_10:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=29 213 211.4 0.012 0.012
r= 30 5121 5134.0 0.033 0.045
r= 31 23194 23103.0 0.358 0.403
r= 32 11472 11551.5 0.547 0.950
chi-square = 0.950 with df = 3; p-value = 0.187
--------------------------------------------------------------
Rank test for binary matrices (6x8) for dh-ranFile-2018-07-05_10:31
b-rank test for bits 1 to 8, p=0.00662
b-rank test for bits 2 to 9, p=0.40012
b-rank test for bits 3 to 10, p=0.05137
b-rank test for bits 4 to 11, p=0.36215
b-rank test for bits 5 to 12, p=0.31134
b-rank test for bits 6 to 13, p=0.32093
b-rank test for bits 7 to 14, p=0.78756
b-rank test for bits 8 to 15, p=0.46192
b-rank test for bits 9 to 16, p=0.67711
b-rank test for bits 10 to 17, p=0.53044
b-rank test for bits 11 to 18, p=0.65043
b-rank test for bits 12 to 19, p=0.28321
b-rank test for bits 13 to 20, p=0.63648
b-rank test for bits 14 to 21, p=0.40405
b-rank test for bits 15 to 22, p=0.69237
b-rank test for bits 16 to 23, p=0.70937
b-rank test for bits 17 to 24, p=0.38298
b-rank test for bits 18 to 25, p=0.84049
b-rank test for bits 19 to 26, p=0.92811
b-rank test for bits 20 to 27, p=0.70462
b-rank test for bits 21 to 28, p=0.41119
b-rank test for bits 22 to 29, p=0.39616
b-rank test for bits 23 to 30, p=0.20479
b-rank test for bits 24 to 31, p=0.61136
b-rank test for bits 25 to 32, p=0.36890
TEST SUMMARY, 25 tests, each on 100,000 random 6x8 matrices
The above should be 25 uniform [0,1] random variables:
The KS test for those 25 supposed UNI's yields p = 0.329614
THE OVERLAPPING 20-TUPLES BITSTREAM TEST for dh-ranFile-2018-07-05_10:31
(20 bits/word, 2097152 words 20 bitstreams. No. missing words
should average 141909.33 with sigma=428.00.)
----------------------------------------------------------------
BITSTREAM test results.
Bitstream No. missing words z-score p-value
1 141724 -0.43 0.332502
2 141913 0.01 0.503421
3 141642 -0.62 0.266116
4 141770 -0.33 0.372387
5 142021 0.26 0.602920
6 141448 -1.08 0.140545
7 141656 -0.59 0.276961
8 141748 -0.38 0.353109
9 141985 0.18 0.570167
10 141448 -1.08 0.140545
11 142678 1.80 0.963749
12 140810 -2.57 0.005107
13 142591 1.59 0.944385
14 141926 0.04 0.515534
15 141577 -0.78 0.218735
16 141914 0.01 0.504353
17 142508 1.40 0.919058
18 142244 0.78 0.782875
19 141724 -0.43 0.332502
20 141679 -0.54 0.295235
----------------------------------------------------------------
OPSO test for dh-ranFile-2018-07-05_10:31
Bits used No. missing words z-score p-value
23 to 32 141691 -0.7529 0.225766
22 to 31 141454 -1.5701 0.058196
21 to 30 141942 0.1127 0.544848
20 to 29 141996 0.2989 0.617477
19 to 28 141915 0.0196 0.507800
18 to 27 141705 -0.7046 0.240534
17 to 26 141657 -0.8701 0.192122
16 to 25 142111 0.6954 0.756602
15 to 24 141712 -0.6804 0.248110
14 to 23 141745 -0.5667 0.285474
13 to 22 141730 -0.6184 0.268163
12 to 21 141672 -0.8184 0.206570
11 to 20 141790 -0.4115 0.340359
10 to 19 141819 -0.3115 0.377717
9 to 18 142400 1.6920 0.954674
8 to 17 142257 1.1989 0.884709
7 to 16 141371 -1.8563 0.031705
6 to 15 141862 -0.1632 0.435178
5 to 14 141787 -0.4218 0.336575
4 to 13 141373 -1.8494 0.032199
3 to 12 141609 -1.0356 0.150190
2 to 11 141469 -1.5184 0.064459
1 to 10 142242 1.1471 0.874338
-----------------------------------------------------------------
OQSO test for dh-ranFile-2018-07-05_10:31
Bits used No. missing words z-score p-value
28 to 32 142046 0.4633 0.678421
27 to 31 142052 0.4836 0.685675
26 to 30 141709 -0.6791 0.248542
25 to 29 142001 0.3107 0.622003
24 to 28 141874 -0.1198 0.452336
23 to 27 142021 0.3785 0.647486
22 to 26 142186 0.9379 0.825843
21 to 25 141745 -0.5571 0.288746
20 to 24 142058 0.5040 0.692857
19 to 23 142157 0.8396 0.799422
18 to 22 141605 -1.0316 0.151123
17 to 21 142459 1.8633 0.968789
16 to 20 142240 1.1209 0.868838
15 to 19 142139 0.7785 0.781875
14 to 18 141744 -0.5604 0.287589
13 to 17 141775 -0.4554 0.324427
12 to 16 141603 -1.0384 0.149540
11 to 15 142074 0.5582 0.711647
10 to 14 141960 0.1718 0.568188
9 to 13 141827 -0.2791 0.390090
8 to 12 141676 -0.7909 0.214487
7 to 11 141513 -1.3435 0.089556
6 to 10 141697 -0.7198 0.235836
5 to 9 142442 1.8057 0.964514
4 to 8 141937 0.0938 0.537365
3 to 7 141549 -1.2215 0.110956
2 to 6 141368 -1.8350 0.033252
1 to 5 142012 0.3480 0.636093
-----------------------------------------------------------------
DNA test for dh-ranFile-2018-07-05_10:31
Bits used No. missing words z-score p-value
31 to 32 142550 1.8899 0.970613
30 to 31 142080 0.5035 0.692677
29 to 30 141943 0.0993 0.539559
28 to 29 141443 -1.3756 0.084472
27 to 28 142072 0.4799 0.684334
26 to 27 141451 -1.3520 0.088187
25 to 26 141687 -0.6558 0.255963
24 to 25 141403 -1.4936 0.067640
23 to 24 141981 0.2114 0.583719
22 to 23 141807 -0.3019 0.381380
21 to 22 141922 0.0374 0.514907
20 to 21 141617 -0.8623 0.194253
19 to 20 141492 -1.2311 0.109150
18 to 19 141779 -0.3845 0.350321
17 to 18 141920 0.0315 0.512555
16 to 17 141527 -1.1278 0.129699
15 to 16 141644 -0.7827 0.216906
14 to 15 141663 -0.7266 0.233724
13 to 14 141313 -1.7591 0.039282
12 to 13 142037 0.3766 0.646767
11 to 12 141878 -0.0924 0.463183
10 to 11 142076 0.4917 0.688517
9 to 10 141740 -0.4995 0.308714
8 to 9 141863 -0.1367 0.445647
7 to 8 142001 0.2704 0.606579
6 to 7 141781 -0.3786 0.352509
5 to 6 141629 -0.8269 0.204138
4 to 5 141512 -1.1721 0.120586
3 to 4 142043 0.3943 0.653323
2 to 3 141923 0.0403 0.516083
1 to 2 142645 2.1701 0.985001
-----------------------------------------------------------------
Test result COUNT-THE-1's in bytes for dh-ranFile-2018-07-05_10:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 2560000)
chisquare z-score p-value
2565.15 0.921 0.821552
Test results for specific bytes for dh-ranFile-2018-07-05_10:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 256000)
bits used chisquare z-score p-value
1 to 8 2353.65 -2.070 0.019243
2 to 9 2493.38 -0.094 0.462717
3 to 10 2458.21 -0.591 0.277276
4 to 11 2467.12 -0.465 0.320992
5 to 12 2621.31 1.716 0.956885
6 to 13 2507.71 0.109 0.543423
7 to 14 2620.94 1.710 0.956399
8 to 15 2430.30 -0.986 0.162128
9 to 16 2543.54 0.616 0.730964
10 to 17 2491.18 -0.125 0.450377
11 to 18 2539.27 0.555 0.710673
12 to 19 2495.68 -0.061 0.475632
13 to 20 2590.59 1.281 0.899915
14 to 21 2522.28 0.315 0.623651
15 to 22 2598.36 1.391 0.917880
16 to 23 2548.67 0.688 0.754376
17 to 24 2515.46 0.219 0.586549
18 to 25 2435.35 -0.914 0.180271
19 to 26 2388.29 -1.580 0.057068
20 to 27 2566.03 0.934 0.824801
21 to 28 2388.74 -1.573 0.057802
22 to 29 2575.13 1.063 0.856003
23 to 30 2477.83 -0.314 0.376926
24 to 31 2373.71 -1.786 0.037048
25 to 32 2545.66 0.646 0.740789
CDPARK for dh-ranFile-2018-07-05_10:31: result of 10 tests
(Of 12000 tries, the average no. of successes should be
3523.0 with sigma=21.9)
No. succeses z-score p-value
3499 -1.0959 0.136563
3497 -1.1872 0.117571
3545 1.0046 0.842447
3494 -1.3242 0.092718
3523 0.0000 0.500000
3473 -2.2831 0.011212
3528 0.2283 0.590298
3504 -0.8676 0.192812
3531 0.3653 0.642555
3520 -0.1370 0.445521
Square side=100, avg. no. parked=3511.40 sample std.=20.47
p-value of the KSTEST for those 10 p-values: 0.170884
Results for the MINIMUM DISTANCE test for dh-ranFile-2018-07-05_10:31
0.4541,0.4570,0.0158,0.0195,0.5143,0.9115,0.8982,0.7783,0.4406,0.7016,
The KS test for those 10 p-values: 0.510187
The 3DSPHERES test for dh-ranFile-2018-07-05_10:31
sample no r^3 equiv. uni.
1 0.943 0.030952
2 60.114 0.865180
3 19.990 0.486405
4 144.363 0.991869
5 14.311 0.379372
6 6.079 0.183412
7 41.319 0.747745
8 53.062 0.829453
9 1.355 0.044156
10 19.415 0.476466
11 26.809 0.590831
12 6.429 0.192904
13 10.545 0.296367
14 17.616 0.444115
15 14.085 0.374677
16 57.105 0.850953
17 68.603 0.898404
18 18.131 0.453574
19 1.648 0.053437
20 36.058 0.699387
--------------------------------------------------------------
p-value for KS test on those 20 p-values: 0.958855
RESULTS OF SQUEEZE TEST FOR dh-ranFile-2018-07-05_10:31
Table of standardized frequency counts
(obs-exp)^2/exp for j=(1,..,6), 7,...,47,(48,...)
-0.8 0.9 -1.8 -0.1 -0.6 0.7
3.2 -0.5 0.1 0.1 -0.7 1.7
-0.4 -0.7 -1.1 0.8 0.2 -0.1
-0.4 2.3 0.1 -1.4 -0.4 -0.5
0.4 -0.7 -0.9 0.8 -1.0 0.1
-0.3 -0.7 0.3 0.5 0.6 1.0
-0.5 0.8 0.1 -0.1 -0.6 1.0
-1.1
Chi-square with 42 degrees of freedom:38.872561
z-score=-0.341232, p-value=0.390963
_____________________________________________________________
Results of the OSUM test for dh-ranFile-2018-07-05_10:31
Test no p-value
1 0.400836
2 0.112705
3 0.116722
4 0.118845
5 0.060983
6 0.052084
7 0.000615
8 0.551509
9 0.709975
10 0.459034
_____________________________________________________________
p-value for 10 kstests on 100 sums: 0.005161
Test for lengths of runs up and runs down, 100,000 each for dh-ranFile-2018-07-05_10:31:
(for k>=2, the prob. of a run of length k is 2*k/(k+1)!)
Length Expected UpRuns (O-E)^2/E DownRuns (O-E)^2/E
2 66666.67 66483 0.51 66624 0.03
3 25000.00 25057 0.13 25163 1.06
4 6666.67 6744 0.90 6585 1.00
5 1388.89 1414 0.45 1326 2.85
6 238.10 258 1.66 258 1.66
7 34.72 35 0.00 36 0.05
8 4.96 8 1.86 7 0.84
p=0.52053 p=0.72198
Number of rngs required: 689320, p-value: 0.856
RESULTS OF CRAPS TEST for dh-ranFile-2018-07-05_10:31
No. of wins: Observed Expected
98514 98585.9
z-score=-0.321, pvalue=0.37396
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66655 66666.7 0.002 0.002
2 37574 37654.3 0.171 0.173
3 26869 26954.7 0.273 0.446
4 19206 19313.5 0.598 1.044
5 13867 13851.4 0.018 1.062
6 9884 9943.5 0.357 1.418
7 7246 7145.0 1.427 2.845
8 5187 5139.1 0.447 3.292
9 3696 3699.9 0.004 3.296
10 2810 2666.3 7.745 11.041
11 1903 1923.3 0.215 11.256
12 1423 1388.7 0.845 12.101
13 1004 1003.7 0.000 12.101
14 734 726.1 0.085 12.186
15 514 525.8 0.266 12.453
16 384 381.2 0.021 12.474
17 277 276.5 0.001 12.475
18 213 200.8 0.737 13.212
19 132 146.0 1.340 14.552
20 104 106.2 0.046 14.598
21 318 287.1 3.323 17.921
Chisq= 17.92 for 20 degrees of freedom, p= 0.40736
SUMMARY of craptest
p-value for no. of wins: 0.373956
p-value for throws/game: 0.407359
_____________________________________________________________
RESULTS OF CRAPS TEST2 for dh-ranFile-2018-07-05_10:31
No. of wins: Observed Expected
98657 98585.9
z-score= 0.318, pvalue=0.62483
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66950 66666.7 1.204 1.204
2 37732 37654.3 0.160 1.364
3 26883 26954.7 0.191 1.555
4 19166 19313.5 1.126 2.681
5 13686 13851.4 1.976 4.657
6 10075 9943.5 1.738 6.395
7 7130 7145.0 0.032 6.426
8 5020 5139.1 2.759 9.185
9 3742 3699.9 0.480 9.665
10 2700 2666.3 0.426 10.091
11 1947 1923.3 0.291 10.382
12 1377 1388.7 0.099 10.482
13 955 1003.7 2.364 12.846
14 697 726.1 1.169 14.015
15 552 525.8 1.302 15.317
16 375 381.2 0.099 15.416
17 272 276.5 0.075 15.491
18 216 200.8 1.146 16.637
19 150 146.0 0.110 16.747
20 95 106.2 1.184 17.932
21 280 287.1 0.176 18.108
Chisq= 18.11 for 20 degrees of freedom, p= 0.41970
SUMMARY of craptest
p-value for no. of wins: 0.624828
p-value for throws/game: 0.419696
_____________________________________________________________
***** TEST SUMMARY *****
All p-values:
0.0000,0.0006,0.0051,0.0052,0.0066,0.0112,0.0158,0.0192,0.0195,0.0310,
0.0317,0.0322,0.0333,0.0370,0.0371,0.0393,0.0442,0.0514,0.0521,0.0534,
0.0571,0.0578,0.0582,0.0610,0.0622,0.0645,0.0676,0.0685,0.0845,0.0882,
0.0896,0.0927,0.1016,0.1036,0.1091,0.1110,0.1111,0.1127,0.1167,0.1176,
0.1188,0.1206,0.1297,0.1366,0.1405,0.1405,0.1495,0.1502,0.1511,0.1615,
0.1621,0.1709,0.1803,0.1834,0.1867,0.1921,0.1928,0.1929,0.1943,0.1966,
0.2041,0.2048,0.2066,0.2078,0.2145,0.2169,0.2187,0.2258,0.2337,0.2358,
0.2405,0.2415,0.2481,0.2485,0.2560,0.2619,0.2620,0.2661,0.2682,0.2770,
0.2773,0.2825,0.2832,0.2839,0.2855,0.2876,0.2887,0.2952,0.2964,0.2987,
0.3087,0.3113,0.3209,0.3210,0.3244,0.3267,0.3281,0.3296,0.3325,0.3325,
0.3366,0.3404,0.3503,0.3525,0.3531,0.3596,0.3621,0.3689,0.3724,0.3740,
0.3747,0.3769,0.3777,0.3794,0.3798,0.3814,0.3830,0.3901,0.3910,0.3962,
0.4001,0.4008,0.4041,0.4074,0.4108,0.4112,0.4189,0.4197,0.4352,0.4406,
0.4441,0.4455,0.4456,0.4465,0.4471,0.4504,0.4512,0.4523,0.4536,0.4541,
0.4570,0.4590,0.4600,0.4619,0.4627,0.4632,0.4756,0.4765,0.4780,0.4853,
0.4864,0.5000,0.5034,0.5044,0.5078,0.5102,0.5126,0.5143,0.5149,0.5155,
0.5161,0.5187,0.5205,0.5304,0.5350,0.5374,0.5396,0.5434,0.5448,0.5515,
0.5525,0.5682,0.5702,0.5837,0.5865,0.5903,0.5908,0.6029,0.6066,0.6085,
0.6114,0.6159,0.6175,0.6220,0.6222,0.6237,0.6248,0.6341,0.6361,0.6365,
0.6426,0.6468,0.6475,0.6504,0.6533,0.6620,0.6713,0.6720,0.6771,0.6784,
0.6843,0.6853,0.6857,0.6885,0.6924,0.6927,0.6929,0.6994,0.6999,0.7016,
0.7046,0.7094,0.7100,0.7107,0.7116,0.7220,0.7310,0.7408,0.7477,0.7544,
0.7566,0.7601,0.7611,0.7741,0.7783,0.7819,0.7829,0.7853,0.7876,0.7994,
0.7998,0.8216,0.8248,0.8258,0.8295,0.8348,0.8405,0.8424,0.8510,0.8560,
0.8562,0.8594,0.8652,0.8688,0.8743,0.8812,0.8847,0.8911,0.8982,0.8984,
0.8999,0.9074,0.9115,0.9179,0.9191,0.9281,0.9444,0.9547,0.9564,0.9569,
0.9589,0.9637,0.9645,0.9688,0.9706,0.9850,0.9874,0.9892,0.9919,
Overall p-value after applying KStest on 269 p-values = 0.022501
In response to requests, we have provided a list of all the p-values
produced by the tests you have chosen for this run. The individual
p-values are supposed to be uniform in [0,1), but they are not necessarily
independent. So even though we have applied a KSTEST to the accumulated
p-values, the result is not necessarily---even if your file contains truly
random bits---uniform in [0,1). But it is probably pretty close, so take
that last p-value with a grain of salt. In particular, there may be some
values so close to 0 or 1 that the tests they came from should be applied
several more times, or new, related tests should be undertaken.