RESULTS OF BIRTHDAY SPACINGS FOR dh-ranFile-2018-06-30_04:31
(no_bdays=1024, no_days/yr=2^24, lambda=16.00, sample size=500)
Bits used mean chisqr p-value
1 to 24 15.89 11.2579 0.157155
2 to 25 16.10 20.6027 0.755435
3 to 26 15.97 9.6018 0.080525
4 to 27 15.58 22.8477 0.845726
5 to 28 15.76 19.7973 0.715274
6 to 29 15.79 20.1395 0.732843
7 to 30 16.14 11.9830 0.198834
8 to 31 15.97 8.2595 0.039322
9 to 32 15.74 22.4317 0.831320
Chisquare degrees of freedom: 17
---------------------------------------------------------------
p-value for KStest on those 9 p-values: 0.461244
Tough bday spacings test for dh-ranFile-2018-06-30_04:31: 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 39 76 106 79 81 59 27 12 5 4
(O-E)^2/E 0.9 0.2 0.1 0.7 3.6 0.1 0.9 0.3 0.6 0.4 0.0
Birthday Spacings: Sum(O-E)^2/E= 7.650, p= 0.337
RESULTS OF GCD FOR dh-ranFile-2018-06-30_04:31
Euclid's algorithm:
p-value, steps to gcd: 0.403527
p-value, dist. of gcd's: 0.115590
Gorilla test for 2^26 bits, positions 0 to 31 for dh-ranFile-2018-06-30_04:31:
Note: lengthy test---for example, ~20 minutes for 850MHz PC
Bits 0 to 7---> 0.235 0.136 0.853 0.885 0.000 0.633 0.221 0.052
Bits 8 to 15---> 0.866 0.212 0.625 0.634 0.731 0.126 0.234 0.088
Bits 16 to 23---> 0.419 0.065 0.313 0.294 0.215 0.525 0.494 0.398
Bits 24 to 31---> 0.306 0.780 0.815 0.535 0.450 0.799 0.848 0.104
KS test for the above 32 p values: 0.741
The OPERM5 test for 10 million (overlapping) 5-tuples for dh-ranFile-2018-06-30_04:31,
p-values for 5 runs: 0.4336, 0.2251, 0.1789, 0.5360, 0.8199
Rank test for binary matrices (31x31) for dh-ranFile-2018-06-30_04:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=28 203 211.4 0.335 0.335
r= 29 5125 5134.0 0.016 0.351
r= 30 23171 23103.0 0.200 0.551
r= 31 11501 11551.5 0.221 0.772
chi-square = 0.772 with df = 3; p-value = 0.144
--------------------------------------------------------------
Rank test for binary matrices (32x32) for dh-ranFile-2018-06-30_04:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=29 201 211.4 0.513 0.513
r= 30 5168 5134.0 0.225 0.738
r= 31 23169 23103.0 0.188 0.927
r= 32 11462 11551.5 0.694 1.620
chi-square = 1.620 with df = 3; p-value = 0.345
--------------------------------------------------------------
Rank test for binary matrices (6x8) for dh-ranFile-2018-06-30_04:31
b-rank test for bits 1 to 8, p=0.52233
b-rank test for bits 2 to 9, p=0.01606
b-rank test for bits 3 to 10, p=0.43787
b-rank test for bits 4 to 11, p=0.78572
b-rank test for bits 5 to 12, p=0.39619
b-rank test for bits 6 to 13, p=0.96998
b-rank test for bits 7 to 14, p=0.33026
b-rank test for bits 8 to 15, p=0.25430
b-rank test for bits 9 to 16, p=0.14411
b-rank test for bits 10 to 17, p=0.36392
b-rank test for bits 11 to 18, p=0.57171
b-rank test for bits 12 to 19, p=0.62214
b-rank test for bits 13 to 20, p=0.43633
b-rank test for bits 14 to 21, p=0.86002
b-rank test for bits 15 to 22, p=0.76349
b-rank test for bits 16 to 23, p=0.47537
b-rank test for bits 17 to 24, p=0.28423
b-rank test for bits 18 to 25, p=0.50913
b-rank test for bits 19 to 26, p=0.69502
b-rank test for bits 20 to 27, p=0.15865
b-rank test for bits 21 to 28, p=0.10613
b-rank test for bits 22 to 29, p=0.60814
b-rank test for bits 23 to 30, p=0.62589
b-rank test for bits 24 to 31, p=0.55147
b-rank test for bits 25 to 32, p=0.92954
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 = 0.819004
THE OVERLAPPING 20-TUPLES BITSTREAM TEST for dh-ranFile-2018-06-30_04:31
(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 141779 -0.30 0.380370
2 142323 0.97 0.833108
3 142355 1.04 0.851128
4 142159 0.58 0.720168
5 142159 0.58 0.720168
6 141493 -0.97 0.165343
7 141318 -1.38 0.083545
8 141949 0.09 0.536924
9 141584 -0.76 0.223592
10 141371 -1.26 0.104236
11 141214 -1.62 0.052124
12 142208 0.70 0.757357
13 141877 -0.08 0.469894
14 142373 1.08 0.860672
15 142415 1.18 0.881292
16 142641 1.71 0.956322
17 141176 -1.71 0.043321
18 141631 -0.65 0.257748
19 141198 -1.66 0.048258
20 142424 1.20 0.885415
----------------------------------------------------------------
OPSO test for dh-ranFile-2018-06-30_04:31
Bits used No. missing words z-score p-value
23 to 32 141736 -0.5977 0.275024
22 to 31 142225 1.0885 0.861817
21 to 30 141754 -0.5356 0.296110
20 to 29 141476 -1.4942 0.067556
19 to 28 141723 -0.6425 0.260269
18 to 27 141586 -1.1149 0.132440
17 to 26 142000 0.3127 0.622729
16 to 25 142171 0.9023 0.816554
15 to 24 141872 -0.1287 0.448788
14 to 23 142132 0.7678 0.778705
13 to 22 141927 0.0609 0.524293
12 to 21 141707 -0.6977 0.242686
11 to 20 141851 -0.2011 0.420295
10 to 19 141934 0.0851 0.533897
9 to 18 142143 0.8058 0.789809
8 to 17 142118 0.7196 0.764100
7 to 16 142075 0.5713 0.716094
6 to 15 142546 2.1954 0.985933
5 to 14 141898 -0.0391 0.484418
4 to 13 142053 0.4954 0.689846
3 to 12 141797 -0.3873 0.349251
2 to 11 141848 -0.2115 0.416255
1 to 10 142245 1.1575 0.876462
-----------------------------------------------------------------
OQSO test for dh-ranFile-2018-06-30_04:31
Bits used No. missing words z-score p-value
28 to 32 141574 -1.1367 0.127829
27 to 31 141238 -2.2757 0.011432
26 to 30 141698 -0.7164 0.236881
25 to 29 142026 0.3955 0.653760
24 to 28 141875 -0.1164 0.453679
23 to 27 142021 0.3785 0.647486
22 to 26 142025 0.3921 0.652509
21 to 25 142059 0.5074 0.694048
20 to 24 141624 -0.9672 0.166717
19 to 23 141805 -0.3537 0.361797
18 to 22 141674 -0.7977 0.212514
17 to 21 142029 0.4057 0.657504
16 to 20 141842 -0.2282 0.409731
15 to 19 142113 0.6904 0.755031
14 to 18 141846 -0.2147 0.415009
13 to 17 141957 0.1616 0.564187
12 to 16 142083 0.5887 0.721973
11 to 15 141820 -0.3028 0.381016
10 to 14 142385 1.6124 0.946567
9 to 13 141568 -1.1571 0.123626
8 to 12 141832 -0.2621 0.396609
7 to 11 142119 0.7107 0.761379
6 to 10 142519 2.0667 0.980618
5 to 9 142141 0.7853 0.783868
4 to 8 142256 1.1752 0.880033
3 to 7 141670 -0.8113 0.208600
2 to 6 142087 0.6023 0.726503
1 to 5 141565 -1.1672 0.121561
-----------------------------------------------------------------
DNA test for dh-ranFile-2018-06-30_04:31
Bits used No. missing words z-score p-value
31 to 32 141711 -0.5850 0.279259
30 to 31 141516 -1.1603 0.122970
29 to 30 142387 1.4091 0.920591
28 to 29 141225 -2.0187 0.021761
27 to 28 141844 -0.1927 0.423592
26 to 27 141699 -0.6204 0.267483
25 to 26 141891 -0.0541 0.478439
24 to 25 141792 -0.3461 0.364632
23 to 24 141671 -0.7030 0.241016
22 to 23 142267 1.0551 0.854304
21 to 22 141756 -0.4523 0.325526
20 to 21 141572 -0.9951 0.159850
19 to 20 141880 -0.0865 0.465527
18 to 19 141969 0.1760 0.569860
17 to 18 142491 1.7158 0.956904
16 to 17 142082 0.5094 0.694747
15 to 16 141639 -0.7974 0.212600
14 to 15 142422 1.5123 0.934771
13 to 14 141218 -2.0393 0.020709
12 to 13 141738 -0.5054 0.306640
11 to 12 141848 -0.1809 0.428217
10 to 11 141426 -1.4258 0.076970
9 to 10 141875 -0.1013 0.459669
8 to 9 142317 1.2026 0.885428
7 to 8 141625 -0.8387 0.200810
6 to 7 141663 -0.7266 0.233724
5 to 6 142317 1.2026 0.885428
4 to 5 141289 -1.8299 0.033634
3 to 4 142052 0.4209 0.663070
2 to 3 141698 -0.6234 0.266513
1 to 2 141986 0.2262 0.589464
-----------------------------------------------------------------
Test result COUNT-THE-1's in bytes for dh-ranFile-2018-06-30_04:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 2560000)
chisquare z-score p-value
2514.84 0.210 0.583100
Test results for specific bytes for dh-ranFile-2018-06-30_04:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 256000)
bits used chisquare z-score p-value
1 to 8 2541.80 0.591 0.722803
2 to 9 2491.29 -0.123 0.450956
3 to 10 2393.23 -1.510 0.065523
4 to 11 2499.95 -0.001 0.499696
5 to 12 2657.96 2.234 0.987255
6 to 13 2470.66 -0.415 0.339076
7 to 14 2511.18 0.158 0.562817
8 to 15 2554.81 0.775 0.780888
9 to 16 2442.91 -0.807 0.209709
10 to 17 2567.45 0.954 0.829917
11 to 18 2504.16 0.059 0.523478
12 to 19 2629.91 1.837 0.966910
13 to 20 2386.13 -1.610 0.053663
14 to 21 2490.72 -0.131 0.447778
15 to 22 2458.33 -0.589 0.277811
16 to 23 2490.90 -0.129 0.448785
17 to 24 2509.78 0.138 0.555017
18 to 25 2576.89 1.087 0.861556
19 to 26 2509.21 0.130 0.551820
20 to 27 2500.79 0.011 0.504475
21 to 28 2350.33 -2.117 0.017148
22 to 29 2418.65 -1.150 0.124990
23 to 30 2470.61 -0.416 0.338832
24 to 31 2465.49 -0.488 0.312767
25 to 32 2457.26 -0.604 0.272778
CDPARK for dh-ranFile-2018-06-30_04:31: 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
3522 -0.0457 0.481790
3512 -0.5023 0.307734
3505 -0.8219 0.205562
3554 1.4155 0.921543
3555 1.4612 0.928018
3519 -0.1826 0.427537
3551 1.2785 0.899470
3513 -0.4566 0.323972
3493 -1.3699 0.085365
3524 0.0457 0.518210
Square side=100, avg. no. parked=3524.80 sample std.=20.49
p-value of the KSTEST for those 10 p-values: 0.772985
Results for the MINIMUM DISTANCE test for dh-ranFile-2018-06-30_04:31
0.9132,0.8944,0.1345,0.4094,0.6044,0.3802,0.9489,0.2875,0.2519,0.5212,
The KS test for those 10 p-values: 0.792909
The 3DSPHERES test for dh-ranFile-2018-06-30_04:31
sample no r^3 equiv. uni.
1 22.537 0.528216
2 5.139 0.157428
3 0.278 0.009222
4 13.863 0.370036
5 31.001 0.644195
6 34.702 0.685493
7 5.870 0.177716
8 5.977 0.180629
9 78.606 0.927211
10 26.235 0.582927
11 5.851 0.177199
12 13.454 0.361400
13 36.189 0.700694
14 31.399 0.648883
15 16.237 0.417963
16 14.898 0.391412
17 10.238 0.289124
18 1.537 0.049943
19 33.831 0.676219
20 14.567 0.384654
--------------------------------------------------------------
p-value for KS test on those 20 p-values: 0.261746
RESULTS OF SQUEEZE TEST FOR dh-ranFile-2018-06-30_04:31
Table of standardized frequency counts
(obs-exp)^2/exp for j=(1,..,6), 7,...,47,(48,...)
-1.5 -0.7 -0.1 -0.5 -0.9 -0.1
0.2 -1.4 0.8 0.2 0.1 -1.5
0.5 2.4 0.1 -2.9 1.1 0.6
0.1 0.2 0.5 0.0 0.3 -2.0
-0.9 0.6 0.4 -1.0 -0.4 -0.8
1.0 0.6 0.4 0.9 0.6 1.7
0.0 0.8 -1.2 0.4 -1.3 3.0
1.8
Chi-square with 42 degrees of freedom:54.491942
z-score=1.362983, p-value=0.906333
_____________________________________________________________
Results of the OSUM test for dh-ranFile-2018-06-30_04:31
Test no p-value
1 0.535706
2 0.373420
3 0.967097
4 0.128916
5 0.474796
6 0.836443
7 0.422915
8 0.328767
9 0.000955
10 0.368737
_____________________________________________________________
p-value for 10 kstests on 100 sums: 0.459808
Test for lengths of runs up and runs down, 100,000 each for dh-ranFile-2018-06-30_04:31:
(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 66694 0.01 66616 0.04
3 25000.00 24918 0.27 25103 0.42
4 6666.67 6692 0.10 6670 0.00
5 1388.89 1421 0.74 1351 1.03
6 238.10 235 0.04 224 0.83
7 34.72 36 0.05 30 0.64
8 4.96 3 0.77 5 0.00
p=0.07854 p=0.18797
Number of rngs required: 688752, p-value: 0.656
RESULTS OF CRAPS TEST for dh-ranFile-2018-06-30_04:31
No. of wins: Observed Expected
98632 98585.9
z-score= 0.206, pvalue=0.58175
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66343 66666.7 1.571 1.571
2 37716 37654.3 0.101 1.672
3 27144 26954.7 1.329 3.001
4 19367 19313.5 0.148 3.150
5 14034 13851.4 2.407 5.556
6 9855 9943.5 0.788 6.345
7 7148 7145.0 0.001 6.346
8 5102 5139.1 0.267 6.614
9 3761 3699.9 1.010 7.624
10 2677 2666.3 0.043 7.667
11 1895 1923.3 0.417 8.084
12 1379 1388.7 0.068 8.152
13 985 1003.7 0.349 8.501
14 726 726.1 0.000 8.501
15 556 525.8 1.730 10.232
16 354 381.2 1.934 12.166
17 246 276.5 3.373 15.538
18 193 200.8 0.305 15.844
19 141 146.0 0.170 16.014
20 102 106.2 0.167 16.181
21 276 287.1 0.430 16.611
Chisq= 16.61 for 20 degrees of freedom, p= 0.32194
SUMMARY of craptest
p-value for no. of wins: 0.581750
p-value for throws/game: 0.321944
_____________________________________________________________
RESULTS OF CRAPS TEST2 for dh-ranFile-2018-06-30_04:31
No. of wins: Observed Expected
98894 98585.9
z-score= 1.378, pvalue=0.91593
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66744 66666.7 0.090 0.090
2 37942 37654.3 2.198 2.288
3 26819 26954.7 0.683 2.971
4 19240 19313.5 0.279 3.250
5 13856 13851.4 0.002 3.252
6 10002 9943.5 0.344 3.596
7 7108 7145.0 0.192 3.788
8 5088 5139.1 0.508 4.295
9 3719 3699.9 0.099 4.394
10 2676 2666.3 0.035 4.429
11 1823 1923.3 5.234 9.663
12 1381 1388.7 0.043 9.706
13 988 1003.7 0.246 9.952
14 733 726.1 0.065 10.017
15 523 525.8 0.015 10.032
16 384 381.2 0.021 10.054
17 281 276.5 0.072 10.125
18 173 200.8 3.857 13.982
19 159 146.0 1.160 15.142
20 106 106.2 0.000 15.143
21 255 287.1 3.592 18.735
Chisq= 18.73 for 20 degrees of freedom, p= 0.46088
SUMMARY of craptest
p-value for no. of wins: 0.915927
p-value for throws/game: 0.460885
_____________________________________________________________
***** TEST SUMMARY *****
All p-values:
0.0001,0.0010,0.0092,0.0114,0.0161,0.0171,0.0207,0.0218,0.0336,0.0393,
0.0433,0.0483,0.0499,0.0520,0.0521,0.0537,0.0651,0.0655,0.0676,0.0770,
0.0785,0.0805,0.0835,0.0854,0.0876,0.1042,0.1044,0.1061,0.1156,0.1216,
0.1230,0.1236,0.1250,0.1262,0.1278,0.1289,0.1324,0.1345,0.1356,0.1438,
0.1441,0.1572,0.1574,0.1587,0.1599,0.1653,0.1667,0.1772,0.1777,0.1789,
0.1806,0.1880,0.1988,0.2008,0.2056,0.2086,0.2097,0.2116,0.2125,0.2126,
0.2147,0.2210,0.2236,0.2251,0.2337,0.2344,0.2345,0.2369,0.2410,0.2427,
0.2519,0.2543,0.2577,0.2603,0.2617,0.2665,0.2675,0.2728,0.2750,0.2778,
0.2793,0.2842,0.2875,0.2891,0.2944,0.2961,0.3055,0.3066,0.3077,0.3127,
0.3128,0.3219,0.3240,0.3255,0.3288,0.3303,0.3370,0.3388,0.3391,0.3452,
0.3493,0.3614,0.3618,0.3639,0.3646,0.3687,0.3700,0.3734,0.3802,0.3804,
0.3810,0.3847,0.3914,0.3962,0.3966,0.3979,0.4035,0.4094,0.4097,0.4150,
0.4163,0.4180,0.4190,0.4203,0.4229,0.4236,0.4275,0.4282,0.4336,0.4363,
0.4379,0.4478,0.4488,0.4488,0.4495,0.4510,0.4537,0.4597,0.4598,0.4609,
0.4612,0.4655,0.4699,0.4748,0.4754,0.4784,0.4818,0.4844,0.4942,0.4997,
0.5045,0.5091,0.5182,0.5212,0.5223,0.5235,0.5243,0.5253,0.5282,0.5339,
0.5349,0.5357,0.5360,0.5369,0.5515,0.5518,0.5550,0.5628,0.5642,0.5699,
0.5717,0.5817,0.5829,0.5831,0.5895,0.6044,0.6081,0.6221,0.6227,0.6254,
0.6259,0.6326,0.6335,0.6442,0.6475,0.6489,0.6525,0.6538,0.6561,0.6575,
0.6631,0.6762,0.6855,0.6898,0.6940,0.6947,0.6950,0.7007,0.7153,0.7161,
0.7202,0.7202,0.7220,0.7228,0.7265,0.7307,0.7328,0.7413,0.7550,0.7554,
0.7574,0.7614,0.7635,0.7641,0.7730,0.7787,0.7800,0.7809,0.7839,0.7857,
0.7898,0.7929,0.7988,0.8147,0.8166,0.8190,0.8199,0.8299,0.8313,0.8331,
0.8364,0.8457,0.8480,0.8511,0.8530,0.8543,0.8600,0.8607,0.8616,0.8618,
0.8664,0.8765,0.8800,0.8813,0.8845,0.8854,0.8854,0.8854,0.8944,0.8995,
0.9063,0.9132,0.9159,0.9206,0.9215,0.9272,0.9280,0.9295,0.9348,0.9466,
0.9489,0.9563,0.9569,0.9669,0.9671,0.9700,0.9806,0.9859,0.9873,
Overall p-value after applying KStest on 269 p-values = 0.197463
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.