RESULTS OF BIRTHDAY SPACINGS FOR dh-ranFile-2018-06-17_05:31
(no_bdays=1024, no_days/yr=2^24, lambda=16.00, sample size=500)
Bits used mean chisqr p-value
1 to 24 15.64 18.6158 0.648976
2 to 25 15.95 14.4798 0.367103
3 to 26 16.17 10.4446 0.116060
4 to 27 16.01 21.9981 0.815209
5 to 28 16.19 19.7150 0.710936
6 to 29 15.61 14.4568 0.365455
7 to 30 15.65 15.4298 0.435446
8 to 31 15.65 19.1949 0.682541
9 to 32 15.98 19.2256 0.684264
Chisquare degrees of freedom: 17
---------------------------------------------------------------
p-value for KStest on those 9 p-values: 0.549073
Tough bday spacings test for dh-ranFile-2018-06-17_05:31: 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 23 70 100 105 83 51 34 14 6 2
(O-E)^2/E 0.9 5.1 0.1 0.1 0.5 0.3 0.0 0.6 0.1 0.1 1.0
Birthday Spacings: Sum(O-E)^2/E= 8.788, p= 0.448
RESULTS OF GCD FOR dh-ranFile-2018-06-17_05:31
Euclid's algorithm:
p-value, steps to gcd: 0.021621
p-value, dist. of gcd's: 0.522298
Gorilla test for 2^26 bits, positions 0 to 31 for dh-ranFile-2018-06-17_05:31:
Note: lengthy test---for example, ~20 minutes for 850MHz PC
Bits 0 to 7---> 0.141 0.374 0.451 0.147 0.875 0.993 0.394 0.085
Bits 8 to 15---> 0.996 0.254 0.730 0.625 0.103 0.369 0.553 0.035
Bits 16 to 23---> 0.041 0.483 0.165 0.338 0.147 0.912 0.931 0.828
Bits 24 to 31---> 0.138 0.118 0.588 0.213 0.809 0.290 0.935 0.848
KS test for the above 32 p values: 0.678
The OPERM5 test for 10 million (overlapping) 5-tuples for dh-ranFile-2018-06-17_05:31,
p-values for 5 runs: 0.5287, 0.8243, 0.3871, 0.0028, 0.8215
Rank test for binary matrices (31x31) for dh-ranFile-2018-06-17_05:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=28 212 211.4 0.002 0.002
r= 29 5087 5134.0 0.430 0.432
r= 30 23147 23103.0 0.084 0.516
r= 31 11554 11551.5 0.001 0.516
chi-square = 0.516 with df = 3; p-value = 0.085
--------------------------------------------------------------
Rank test for binary matrices (32x32) for dh-ranFile-2018-06-17_05:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=29 178 211.4 5.282 5.282
r= 30 5120 5134.0 0.038 5.320
r= 31 23005 23103.0 0.416 5.737
r= 32 11697 11551.5 1.832 7.569
chi-square = 7.569 with df = 3; p-value = 0.944
--------------------------------------------------------------
Rank test for binary matrices (6x8) for dh-ranFile-2018-06-17_05:31
b-rank test for bits 1 to 8, p=0.68383
b-rank test for bits 2 to 9, p=0.36803
b-rank test for bits 3 to 10, p=0.16916
b-rank test for bits 4 to 11, p=0.05060
b-rank test for bits 5 to 12, p=0.02341
b-rank test for bits 6 to 13, p=0.00335
b-rank test for bits 7 to 14, p=0.57051
b-rank test for bits 8 to 15, p=0.05070
b-rank test for bits 9 to 16, p=0.98354
b-rank test for bits 10 to 17, p=0.08828
b-rank test for bits 11 to 18, p=0.68477
b-rank test for bits 12 to 19, p=0.72965
b-rank test for bits 13 to 20, p=0.26431
b-rank test for bits 14 to 21, p=0.52216
b-rank test for bits 15 to 22, p=0.24069
b-rank test for bits 16 to 23, p=0.26617
b-rank test for bits 17 to 24, p=0.27966
b-rank test for bits 18 to 25, p=0.27589
b-rank test for bits 19 to 26, p=0.38380
b-rank test for bits 20 to 27, p=0.65659
b-rank test for bits 21 to 28, p=0.86390
b-rank test for bits 22 to 29, p=0.88094
b-rank test for bits 23 to 30, p=0.53597
b-rank test for bits 24 to 31, p=0.06055
b-rank test for bits 25 to 32, p=0.12776
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 = 0.071821
THE OVERLAPPING 20-TUPLES BITSTREAM TEST for dh-ranFile-2018-06-17_05:31
(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 142167 0.60 0.726424
2 142390 1.12 0.869294
3 142096 0.44 0.668634
4 141956 0.11 0.543415
5 141670 -0.56 0.288019
6 141880 -0.07 0.472683
7 141446 -1.08 0.139505
8 141892 -0.04 0.483851
9 142609 1.63 0.948949
10 142091 0.42 0.664386
11 141993 0.20 0.577496
12 142554 1.51 0.933997
13 141478 -1.01 0.156780
14 141883 -0.06 0.475473
15 142605 1.63 0.947961
16 141503 -0.95 0.171216
17 141199 -1.66 0.048492
18 143017 2.59 0.995173
19 142055 0.34 0.633204
20 141850 -0.14 0.444875
----------------------------------------------------------------
OPSO test for dh-ranFile-2018-06-17_05:31
Bits used No. missing words z-score p-value
23 to 32 142122 0.7333 0.768326
22 to 31 141833 -0.2632 0.396196
21 to 30 141804 -0.3632 0.358225
20 to 29 141776 -0.4598 0.322845
19 to 28 141586 -1.1149 0.132440
18 to 27 142266 1.2299 0.890632
17 to 26 141718 -0.6598 0.254704
16 to 25 141951 0.1437 0.557127
15 to 24 141494 -1.4322 0.076047
14 to 23 141734 -0.6046 0.272727
13 to 22 142123 0.7368 0.769376
12 to 21 142047 0.4747 0.682508
11 to 20 142074 0.5678 0.714924
10 to 19 142121 0.7299 0.767273
9 to 18 142047 0.4747 0.682508
8 to 17 142571 2.2816 0.988744
7 to 16 142370 1.5885 0.943915
6 to 15 142483 1.9782 0.976045
5 to 14 142105 0.6747 0.750075
4 to 13 142147 0.8196 0.793764
3 to 12 142040 0.4506 0.673856
2 to 11 141842 -0.2322 0.408202
1 to 10 141941 0.1092 0.543481
-----------------------------------------------------------------
OQSO test for dh-ranFile-2018-06-17_05:31
Bits used No. missing words z-score p-value
28 to 32 141309 -2.0350 0.020925
27 to 31 142797 3.0091 0.998690
26 to 30 141863 -0.1571 0.437602
25 to 29 142226 1.0735 0.858467
24 to 28 142002 0.3141 0.623291
23 to 27 141676 -0.7909 0.214487
22 to 26 141556 -1.1977 0.115511
21 to 25 142081 0.5819 0.719694
20 to 24 141903 -0.0215 0.491440
19 to 23 141975 0.2226 0.588081
18 to 22 141785 -0.4215 0.336711
17 to 21 142058 0.5040 0.692857
16 to 20 141535 -1.2689 0.102236
15 to 19 141963 0.1819 0.572182
14 to 18 142073 0.5548 0.710489
13 to 17 142098 0.6396 0.738770
12 to 16 142084 0.5921 0.723109
11 to 15 142025 0.3921 0.652509
10 to 14 142044 0.4565 0.675988
9 to 13 141984 0.2531 0.599912
8 to 12 142341 1.4633 0.928306
7 to 11 142197 0.9752 0.835258
6 to 10 141649 -0.8825 0.188760
5 to 9 141368 -1.8350 0.033252
4 to 8 141799 -0.3740 0.354202
3 to 7 141379 -1.7977 0.036110
2 to 6 141711 -0.6723 0.250695
1 to 5 141682 -0.7706 0.220469
-----------------------------------------------------------------
DNA test for dh-ranFile-2018-06-17_05:31
Bits used No. missing words z-score p-value
31 to 32 141738 -0.5054 0.306640
30 to 31 141302 -1.7915 0.036604
29 to 30 141716 -0.5703 0.284239
28 to 29 141844 -0.1927 0.423592
27 to 28 141520 -1.1485 0.125388
26 to 27 141519 -1.1514 0.124781
25 to 26 142239 0.9725 0.834594
24 to 25 141620 -0.8535 0.196696
23 to 24 141689 -0.6499 0.257865
22 to 23 142189 0.8250 0.795310
21 to 22 142593 2.0167 0.978138
20 to 21 141237 -1.9833 0.023668
19 to 20 141905 -0.0128 0.494905
18 to 19 142129 0.6480 0.741506
17 to 18 141956 0.1377 0.554749
16 to 17 141588 -0.9479 0.171596
15 to 16 141797 -0.3314 0.370187
14 to 15 141931 0.0639 0.525484
13 to 14 142121 0.6244 0.733816
12 to 13 141886 -0.0688 0.472566
11 to 12 142151 0.7129 0.762043
10 to 11 141770 -0.4110 0.340535
9 to 10 141856 -0.1573 0.437498
8 to 9 142384 1.4002 0.919274
7 to 8 141434 -1.4022 0.080435
6 to 7 142083 0.5123 0.695780
5 to 6 142078 0.4976 0.690600
4 to 5 141793 -0.3432 0.365740
3 to 4 141083 -2.4376 0.007394
2 to 3 141660 -0.7355 0.231022
1 to 2 141999 0.2645 0.604308
-----------------------------------------------------------------
Test result COUNT-THE-1's in bytes for dh-ranFile-2018-06-17_05:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 2560000)
chisquare z-score p-value
2509.93 0.140 0.555840
Test results for specific bytes for dh-ranFile-2018-06-17_05:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 256000)
bits used chisquare z-score p-value
1 to 8 2519.07 0.270 0.606311
2 to 9 2498.99 -0.014 0.494296
3 to 10 2436.60 -0.897 0.184949
4 to 11 2583.89 1.186 0.882268
5 to 12 2589.38 1.264 0.896902
6 to 13 2506.86 0.097 0.538661
7 to 14 2312.42 -2.653 0.003991
8 to 15 2481.30 -0.264 0.395719
9 to 16 2489.52 -0.148 0.441115
10 to 17 2487.24 -0.180 0.428406
11 to 18 2566.04 0.934 0.824843
12 to 19 2492.89 -0.101 0.459962
13 to 20 2399.08 -1.427 0.076757
14 to 21 2453.21 -0.662 0.254059
15 to 22 2450.58 -0.699 0.242296
16 to 23 2366.58 -1.887 0.029589
17 to 24 2432.67 -0.952 0.170511
18 to 25 2624.45 1.760 0.960793
19 to 26 2559.39 0.840 0.799517
20 to 27 2569.68 0.985 0.837808
21 to 28 2390.39 -1.550 0.060559
22 to 29 2441.79 -0.823 0.205212
23 to 30 2451.03 -0.692 0.244316
24 to 31 2579.52 1.125 0.869619
25 to 32 2483.44 -0.234 0.407428
CDPARK for dh-ranFile-2018-06-17_05:31: 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
3547 1.0959 0.863437
3526 0.1370 0.554479
3542 0.8676 0.807188
3548 1.1416 0.873180
3551 1.2785 0.899470
3546 1.0502 0.853193
3492 -1.4155 0.078457
3517 -0.2740 0.392053
3481 -1.9178 0.027568
3562 1.7808 0.962529
Square side=100, avg. no. parked=3531.20 sample std.=25.48
p-value of the KSTEST for those 10 p-values: 0.092870
Results for the MINIMUM DISTANCE test for dh-ranFile-2018-06-17_05:31
0.8531,0.0964,0.5261,0.5709,0.2465,0.1109,0.4065,0.7620,0.6030,0.6280,
The KS test for those 10 p-values: 0.868813
The 3DSPHERES test for dh-ranFile-2018-06-17_05:31
sample no r^3 equiv. uni.
1 70.323 0.904068
2 11.256 0.312849
3 21.802 0.516522
4 69.230 0.900508
5 0.358 0.011849
6 22.207 0.522990
7 9.920 0.281549
8 17.728 0.446185
9 60.948 0.868877
10 4.626 0.142911
11 15.882 0.411044
12 20.043 0.487318
13 13.786 0.368411
14 76.708 0.922457
15 80.906 0.932585
16 20.148 0.489106
17 12.719 0.345558
18 1.309 0.042682
19 3.893 0.121704
20 16.632 0.425588
--------------------------------------------------------------
p-value for KS test on those 20 p-values: 0.567449
RESULTS OF SQUEEZE TEST FOR dh-ranFile-2018-06-17_05:31
Table of standardized frequency counts
(obs-exp)^2/exp for j=(1,..,6), 7,...,47,(48,...)
-0.1 -0.3 -1.8 1.6 -0.8 0.3
-0.1 1.0 1.0 1.5 -0.9 -1.1
-1.0 -1.5 1.7 2.3 -0.7 -0.2
0.6 0.5 -0.9 -1.0 0.0 -0.3
-0.9 -0.7 0.4 -0.2 0.8 0.0
0.9 -0.5 1.2 1.2 -0.4 -1.2
-0.2 -1.0 0.1 1.0 0.1 -1.0
1.8
Chi-square with 42 degrees of freedom:41.410280
z-score=-0.064344, p-value=0.503295
_____________________________________________________________
Results of the OSUM test for dh-ranFile-2018-06-17_05:31
Test no p-value
1 0.210462
2 0.515256
3 0.067624
4 0.003939
5 0.067082
6 0.313933
7 0.375712
8 0.227853
9 0.668352
10 0.152271
_____________________________________________________________
p-value for 10 kstests on 100 sums: 0.012366
Test for lengths of runs up and runs down, 100,000 each for dh-ranFile-2018-06-17_05:31:
(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 66604 0.06 66652 0.00
3 25000.00 25086 0.30 24983 0.01
4 6666.67 6683 0.04 6688 0.07
5 1388.89 1378 0.09 1407 0.24
6 238.10 216 2.05 228 0.43
7 34.72 24 3.31 34 0.01
8 4.96 8 1.86 7 0.84
p=0.73937 p=0.04751
Number of rngs required: 688304, p-value: 0.455
RESULTS OF CRAPS TEST for dh-ranFile-2018-06-17_05:31
No. of wins: Observed Expected
98664 98585.9
z-score= 0.349, pvalue=0.63664
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66831 66666.7 0.405 0.405
2 37596 37654.3 0.090 0.495
3 27034 26954.7 0.233 0.729
4 19117 19313.5 1.998 2.727
5 13815 13851.4 0.096 2.823
6 9851 9943.5 0.861 3.684
7 7258 7145.0 1.786 5.470
8 5129 5139.1 0.020 5.490
9 3777 3699.9 1.608 7.098
10 2645 2666.3 0.170 7.268
11 1932 1923.3 0.039 7.307
12 1359 1388.7 0.637 7.944
13 999 1003.7 0.022 7.966
14 748 726.1 0.658 8.624
15 529 525.8 0.019 8.644
16 394 381.2 0.433 9.077
17 269 276.5 0.206 9.282
18 188 200.8 0.820 10.102
19 159 146.0 1.160 11.262
20 105 106.2 0.014 11.276
21 265 287.1 1.703 12.980
Chisq= 12.98 for 20 degrees of freedom, p= 0.12174
SUMMARY of craptest
p-value for no. of wins: 0.636641
p-value for throws/game: 0.121738
_____________________________________________________________
RESULTS OF CRAPS TEST2 for dh-ranFile-2018-06-17_05:31
No. of wins: Observed Expected
98655 98585.9
z-score= 0.309, pvalue=0.62143
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66743 66666.7 0.087 0.087
2 37635 37654.3 0.010 0.097
3 26629 26954.7 3.936 4.034
4 19413 19313.5 0.513 4.547
5 14008 13851.4 1.770 6.317
6 9932 9943.5 0.013 6.330
7 7254 7145.0 1.662 7.992
8 5143 5139.1 0.003 7.995
9 3685 3699.9 0.060 8.055
10 2687 2666.3 0.161 8.216
11 1914 1923.3 0.045 8.261
12 1399 1388.7 0.076 8.337
13 985 1003.7 0.349 8.686
14 684 726.1 2.446 11.131
15 533 525.8 0.098 11.229
16 364 381.2 0.772 12.000
17 247 276.5 3.155 15.156
18 194 200.8 0.232 15.388
19 169 146.0 3.629 19.017
20 95 106.2 1.184 20.201
21 287 287.1 0.000 20.201
Chisq= 20.20 for 20 degrees of freedom, p= 0.55458
SUMMARY of craptest
p-value for no. of wins: 0.621431
p-value for throws/game: 0.554576
_____________________________________________________________
***** TEST SUMMARY *****
All p-values:
0.0028,0.0034,0.0039,0.0040,0.0074,0.0118,0.0124,0.0209,0.0216,0.0234,
0.0237,0.0276,0.0296,0.0333,0.0355,0.0361,0.0366,0.0410,0.0427,0.0475,
0.0485,0.0506,0.0507,0.0606,0.0606,0.0671,0.0676,0.0718,0.0760,0.0768,
0.0785,0.0804,0.0847,0.0852,0.0883,0.0929,0.0964,0.1022,0.1035,0.1109,
0.1155,0.1161,0.1176,0.1217,0.1217,0.1248,0.1254,0.1278,0.1324,0.1384,
0.1395,0.1413,0.1429,0.1468,0.1472,0.1523,0.1568,0.1655,0.1692,0.1705,
0.1712,0.1716,0.1849,0.1888,0.1967,0.2052,0.2105,0.2128,0.2145,0.2205,
0.2279,0.2310,0.2407,0.2423,0.2443,0.2465,0.2507,0.2541,0.2541,0.2547,
0.2579,0.2643,0.2662,0.2727,0.2759,0.2797,0.2815,0.2842,0.2880,0.2901,
0.3066,0.3128,0.3139,0.3228,0.3367,0.3380,0.3405,0.3456,0.3542,0.3582,
0.3655,0.3657,0.3671,0.3680,0.3684,0.3693,0.3702,0.3736,0.3757,0.3838,
0.3871,0.3921,0.3938,0.3957,0.3962,0.4065,0.4074,0.4082,0.4110,0.4236,
0.4256,0.4284,0.4354,0.4375,0.4376,0.4411,0.4449,0.4462,0.4477,0.4512,
0.4547,0.4600,0.4726,0.4727,0.4755,0.4829,0.4839,0.4873,0.4891,0.4914,
0.4943,0.4949,0.5033,0.5153,0.5165,0.5222,0.5223,0.5230,0.5255,0.5261,
0.5287,0.5360,0.5387,0.5434,0.5435,0.5491,0.5527,0.5545,0.5546,0.5547,
0.5558,0.5571,0.5674,0.5705,0.5709,0.5722,0.5775,0.5881,0.5883,0.5999,
0.6030,0.6043,0.6063,0.6214,0.6233,0.6247,0.6280,0.6332,0.6366,0.6490,
0.6525,0.6566,0.6644,0.6684,0.6686,0.6739,0.6760,0.6782,0.6825,0.6825,
0.6825,0.6838,0.6843,0.6848,0.6906,0.6929,0.6958,0.7105,0.7109,0.7149,
0.7197,0.7231,0.7264,0.7296,0.7303,0.7338,0.7388,0.7394,0.7415,0.7501,
0.7620,0.7620,0.7673,0.7683,0.7694,0.7938,0.7953,0.7995,0.8072,0.8094,
0.8152,0.8215,0.8243,0.8248,0.8278,0.8346,0.8353,0.8378,0.8484,0.8531,
0.8532,0.8585,0.8634,0.8639,0.8688,0.8689,0.8693,0.8696,0.8732,0.8748,
0.8809,0.8823,0.8906,0.8969,0.8995,0.9005,0.9041,0.9116,0.9193,0.9225,
0.9283,0.9314,0.9326,0.9340,0.9354,0.9439,0.9442,0.9480,0.9489,0.9608,
0.9625,0.9760,0.9781,0.9835,0.9887,0.9928,0.9952,0.9957,0.9987,
Overall p-value after applying KStest on 269 p-values = 0.175664
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.