RESULTS OF BIRTHDAY SPACINGS FOR dh-ranFile-2018-07-12_06:31
(no_bdays=1024, no_days/yr=2^24, lambda=16.00, sample size=500)
Bits used mean chisqr p-value
1 to 24 15.58 25.9045 0.923782
2 to 25 15.74 25.2975 0.911755
3 to 26 15.67 16.9479 0.542101
4 to 27 15.79 7.5011 0.023915
5 to 28 16.17 10.6992 0.128236
6 to 29 15.99 19.7641 0.713529
7 to 30 15.66 24.9579 0.904343
8 to 31 15.80 22.1655 0.821562
9 to 32 15.84 15.8855 0.468031
Chisquare degrees of freedom: 17
---------------------------------------------------------------
p-value for KStest on those 9 p-values: 0.285316
Tough bday spacings test for dh-ranFile-2018-07-12_06:31: 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 11 35 83 89 99 82 45 27 13 10 6
(O-E)^2/E 0.4 0.1 1.3 0.8 0.0 0.2 1.0 0.3 0.2 1.7 0.9
Birthday Spacings: Sum(O-E)^2/E= 6.832, p= 0.259
RESULTS OF GCD FOR dh-ranFile-2018-07-12_06:31
Euclid's algorithm:
p-value, steps to gcd: 0.314295
p-value, dist. of gcd's: 0.014400
Gorilla test for 2^26 bits, positions 0 to 31 for dh-ranFile-2018-07-12_06:31:
Note: lengthy test---for example, ~20 minutes for 850MHz PC
Bits 0 to 7---> 0.786 0.721 0.295 0.982 0.214 0.095 0.087 0.259
Bits 8 to 15---> 0.734 0.035 0.274 0.805 0.548 0.276 0.748 0.838
Bits 16 to 23---> 0.545 0.233 0.536 0.374 0.236 0.381 0.639 0.946
Bits 24 to 31---> 0.650 0.552 0.222 0.897 0.492 0.615 0.818 0.913
KS test for the above 32 p values: 0.090
The OPERM5 test for 10 million (overlapping) 5-tuples for dh-ranFile-2018-07-12_06:31,
p-values for 5 runs: 0.8281, 0.6374, 0.4280, 0.8898, 0.5120
Rank test for binary matrices (31x31) for dh-ranFile-2018-07-12_06:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=28 224 211.4 0.749 0.749
r= 29 5065 5134.0 0.928 1.676
r= 30 23055 23103.0 0.100 1.776
r= 31 11656 11551.5 0.945 2.721
chi-square = 2.721 with df = 3; p-value = 0.563
--------------------------------------------------------------
Rank test for binary matrices (32x32) for dh-ranFile-2018-07-12_06:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=29 201 211.4 0.513 0.513
r= 30 5179 5134.0 0.394 0.908
r= 31 23175 23103.0 0.224 1.132
r= 32 11445 11551.5 0.982 2.114
chi-square = 2.114 with df = 3; p-value = 0.451
--------------------------------------------------------------
Rank test for binary matrices (6x8) for dh-ranFile-2018-07-12_06:31
b-rank test for bits 1 to 8, p=0.24935
b-rank test for bits 2 to 9, p=0.76063
b-rank test for bits 3 to 10, p=0.96369
b-rank test for bits 4 to 11, p=0.61903
b-rank test for bits 5 to 12, p=0.57446
b-rank test for bits 6 to 13, p=0.63659
b-rank test for bits 7 to 14, p=0.96465
b-rank test for bits 8 to 15, p=0.53938
b-rank test for bits 9 to 16, p=0.31143
b-rank test for bits 10 to 17, p=0.26536
b-rank test for bits 11 to 18, p=0.94727
b-rank test for bits 12 to 19, p=0.98158
b-rank test for bits 13 to 20, p=0.29840
b-rank test for bits 14 to 21, p=0.38528
b-rank test for bits 15 to 22, p=0.42947
b-rank test for bits 16 to 23, p=0.98012
b-rank test for bits 17 to 24, p=0.80508
b-rank test for bits 18 to 25, p=0.99859
b-rank test for bits 19 to 26, p=0.66697
b-rank test for bits 20 to 27, p=0.29964
b-rank test for bits 21 to 28, p=0.94053
b-rank test for bits 22 to 29, p=0.41933
b-rank test for bits 23 to 30, p=0.00832
b-rank test for bits 24 to 31, p=0.51348
b-rank test for bits 25 to 32, p=0.81468
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 = 0.026460
THE OVERLAPPING 20-TUPLES BITSTREAM TEST for dh-ranFile-2018-07-12_06:31
(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 141843 -0.15 0.438420
2 142270 0.84 0.800298
3 141977 0.16 0.562814
4 142317 0.95 0.829578
5 141872 -0.09 0.465249
6 142223 0.73 0.768182
7 141581 -0.77 0.221503
8 141375 -1.25 0.105936
9 141926 0.04 0.515534
10 141843 -0.15 0.438420
11 141523 -0.90 0.183358
12 142061 0.35 0.638469
13 141970 0.14 0.556362
14 141820 -0.21 0.417335
15 142248 0.79 0.785611
16 142424 1.20 0.885415
17 142091 0.42 0.664386
18 142395 1.13 0.871759
19 141899 -0.02 0.490372
20 141432 -1.12 0.132370
----------------------------------------------------------------
OPSO test for dh-ranFile-2018-07-12_06:31
Bits used No. missing words z-score p-value
23 to 32 141633 -0.9529 0.170330
22 to 31 141784 -0.4322 0.332808
21 to 30 142141 0.7989 0.787815
20 to 29 142062 0.5264 0.700712
19 to 28 142233 1.1161 0.867811
18 to 27 141973 0.2196 0.586890
17 to 26 141849 -0.2080 0.417601
16 to 25 141455 -1.5667 0.058598
15 to 24 141677 -0.8011 0.211526
14 to 23 142152 0.8368 0.798646
13 to 22 141366 -1.8736 0.030496
12 to 21 141423 -1.6770 0.046771
11 to 20 142019 0.3782 0.647349
10 to 19 142137 0.7851 0.783793
9 to 18 141878 -0.1080 0.456984
8 to 17 141758 -0.5218 0.300895
7 to 16 142216 1.0575 0.854854
6 to 15 141762 -0.5080 0.305715
5 to 14 141759 -0.5184 0.302097
4 to 13 142216 1.0575 0.854854
3 to 12 141456 -1.5632 0.059002
2 to 11 141708 -0.6942 0.243765
1 to 10 141810 -0.3425 0.365981
-----------------------------------------------------------------
OQSO test for dh-ranFile-2018-07-12_06:31
Bits used No. missing words z-score p-value
28 to 32 142115 0.6972 0.757157
27 to 31 141977 0.2294 0.590717
26 to 30 141459 -1.5265 0.063437
25 to 29 141748 -0.5469 0.292230
24 to 28 142343 1.4701 0.929228
23 to 27 141531 -1.2825 0.099838
22 to 26 141623 -0.9706 0.165871
21 to 25 142022 0.3819 0.648744
20 to 24 142096 0.6328 0.736561
19 to 23 141564 -1.1706 0.120878
18 to 22 141885 -0.0825 0.467135
17 to 21 142257 1.1785 0.880710
16 to 20 142103 0.6565 0.744252
15 to 19 141815 -0.3198 0.374574
14 to 18 141777 -0.4486 0.326869
13 to 17 142119 0.7107 0.761379
12 to 16 142051 0.4802 0.684471
11 to 15 141784 -0.4248 0.335474
10 to 14 141965 0.1887 0.574841
9 to 13 142221 1.0565 0.854632
8 to 12 141836 -0.2486 0.401844
7 to 11 141859 -0.1706 0.432265
6 to 10 142558 2.1989 0.986057
5 to 9 142297 1.3141 0.905600
4 to 8 142238 1.1141 0.867390
3 to 7 141334 -1.9503 0.025572
2 to 6 141681 -0.7740 0.219465
1 to 5 142309 1.3548 0.912262
-----------------------------------------------------------------
DNA test for dh-ranFile-2018-07-12_06:31
Bits used No. missing words z-score p-value
31 to 32 142463 1.6332 0.948791
30 to 31 141807 -0.3019 0.381380
29 to 30 141992 0.2439 0.596332
28 to 29 141756 -0.4523 0.325526
27 to 28 141515 -1.1632 0.122371
26 to 27 141945 0.1052 0.541900
25 to 26 141871 -0.1131 0.454988
24 to 25 142058 0.4386 0.669508
23 to 24 142155 0.7247 0.765679
22 to 23 141478 -1.2724 0.101623
21 to 22 141824 -0.2517 0.400632
20 to 21 141590 -0.9420 0.173102
19 to 20 141540 -1.0895 0.137974
18 to 19 141866 -0.1278 0.449147
17 to 18 141773 -0.4022 0.343786
16 to 17 141992 0.2439 0.596332
15 to 16 141639 -0.7974 0.212600
14 to 15 142054 0.4268 0.665221
13 to 14 142022 0.3324 0.630191
12 to 13 141756 -0.4523 0.325526
11 to 12 141894 -0.0452 0.481966
10 to 11 141883 -0.0777 0.469045
9 to 10 142088 0.5271 0.700921
8 to 9 142514 1.7837 0.962763
7 to 8 141669 -0.7089 0.239182
6 to 7 141756 -0.4523 0.325526
5 to 6 141775 -0.3963 0.345959
4 to 5 141916 0.0197 0.507849
3 to 4 142111 0.5949 0.724044
2 to 3 142002 0.2734 0.607713
1 to 2 142363 1.3383 0.909594
-----------------------------------------------------------------
Test result COUNT-THE-1's in bytes for dh-ranFile-2018-07-12_06:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 2560000)
chisquare z-score p-value
2509.94 0.141 0.555910
Test results for specific bytes for dh-ranFile-2018-07-12_06:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 256000)
bits used chisquare z-score p-value
1 to 8 2575.46 1.067 0.857039
2 to 9 2487.43 -0.178 0.429456
3 to 10 2450.98 -0.693 0.244086
4 to 11 2517.70 0.250 0.598850
5 to 12 2481.55 -0.261 0.397063
6 to 13 2585.51 1.209 0.886729
7 to 14 2503.46 0.049 0.519521
8 to 15 2419.85 -1.134 0.128496
9 to 16 2544.26 0.626 0.734323
10 to 17 2375.89 -1.755 0.039615
11 to 18 2509.33 0.132 0.552469
12 to 19 2546.58 0.659 0.744977
13 to 20 2566.20 0.936 0.825415
14 to 21 2450.21 -0.704 0.240683
15 to 22 2503.13 0.044 0.517668
16 to 23 2522.70 0.321 0.625878
17 to 24 2575.68 1.070 0.857751
18 to 25 2484.04 -0.226 0.410698
19 to 26 2534.54 0.488 0.687392
20 to 27 2576.33 1.079 0.859805
21 to 28 2533.92 0.480 0.684294
22 to 29 2501.38 0.020 0.507786
23 to 30 2390.55 -1.548 0.060824
24 to 31 2576.64 1.084 0.860778
25 to 32 2481.27 -0.265 0.395535
CDPARK for dh-ranFile-2018-07-12_06:31: 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
3523 0.0000 0.500000
3541 0.8219 0.794438
3506 -0.7763 0.218799
3526 0.1370 0.554479
3515 -0.3653 0.357445
3542 0.8676 0.807188
3506 -0.7763 0.218799
3487 -1.6438 0.050105
3519 -0.1826 0.427537
3534 0.5023 0.692266
Square side=100, avg. no. parked=3519.90 sample std.=16.35
p-value of the KSTEST for those 10 p-values: 0.874491
Results for the MINIMUM DISTANCE test for dh-ranFile-2018-07-12_06:31
0.0183,0.6323,0.8820,0.0669,0.5796,0.1387,0.9082,0.2259,0.1286,0.9030,
The KS test for those 10 p-values: 0.345856
The 3DSPHERES test for dh-ranFile-2018-07-12_06:31
sample no r^3 equiv. uni.
1 11.620 0.321136
2 4.449 0.137827
3 13.293 0.357947
4 13.630 0.365131
5 12.379 0.338090
6 19.262 0.473789
7 93.974 0.956389
8 13.461 0.361533
9 1.856 0.059995
10 4.831 0.148748
11 21.405 0.510070
12 16.911 0.430909
13 8.293 0.241521
14 42.448 0.757057
15 39.017 0.727627
16 11.319 0.314285
17 11.508 0.318599
18 22.183 0.522623
19 39.423 0.731280
20 77.562 0.924633
--------------------------------------------------------------
p-value for KS test on those 20 p-values: 0.362395
RESULTS OF SQUEEZE TEST FOR dh-ranFile-2018-07-12_06:31
Table of standardized frequency counts
(obs-exp)^2/exp for j=(1,..,6), 7,...,47,(48,...)
1.3 -0.3 2.5 -0.4 0.5 -1.0
0.7 3.1 0.6 -0.6 0.2 0.9
0.6 1.4 -0.4 -0.8 -1.6 1.2
-1.0 0.2 0.8 -0.8 0.8 -1.5
-0.0 -1.2 -0.3 0.5 -1.2 -0.6
1.6 1.6 -1.3 -0.1 -1.3 0.4
-0.9 -1.0 0.9 -0.7 0.9 0.0
-0.1
Chi-square with 42 degrees of freedom:50.179885
z-score=0.892499, p-value=0.819135
_____________________________________________________________
Results of the OSUM test for dh-ranFile-2018-07-12_06:31
Test no p-value
1 0.379494
2 0.031638
3 0.561705
4 0.128607
5 0.487861
6 0.156027
7 0.980836
8 0.860222
9 0.223818
10 0.349839
_____________________________________________________________
p-value for 10 kstests on 100 sums: 0.568869
Test for lengths of runs up and runs down, 100,000 each for dh-ranFile-2018-07-12_06:31:
(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 66711 0.03 66908 0.87
3 25000.00 24870 0.68 24825 1.23
4 6666.67 6765 1.45 6600 0.67
5 1388.89 1367 0.35 1395 0.03
6 238.10 245 0.20 235 0.04
7 34.72 39 0.53 32 0.21
8 4.96 2 1.77 4 0.19
p=0.45556 p=0.22070
Number of rngs required: 689294, p-value: 0.849
RESULTS OF CRAPS TEST for dh-ranFile-2018-07-12_06:31
No. of wins: Observed Expected
98285 98585.9
z-score=-1.346, pvalue=0.08921
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66670 66666.7 0.000 0.000
2 37361 37654.3 2.285 2.285
3 26673 26954.7 2.945 5.230
4 19620 19313.5 4.865 10.095
5 13978 13851.4 1.157 11.252
6 9917 9943.5 0.071 11.323
7 7230 7145.0 1.011 12.333
8 5236 5139.1 1.828 14.161
9 3735 3699.9 0.334 14.495
10 2684 2666.3 0.118 14.613
11 1940 1923.3 0.144 14.757
12 1400 1388.7 0.091 14.848
13 1000 1003.7 0.014 14.862
14 712 726.1 0.275 15.137
15 480 525.8 3.995 19.133
16 412 381.2 2.497 21.630
17 242 276.5 4.314 25.944
18 178 200.8 2.595 28.539
19 150 146.0 0.110 28.649
20 85 106.2 4.237 32.887
21 297 287.1 0.340 33.227
Chisq= 33.23 for 20 degrees of freedom, p= 0.96815
SUMMARY of craptest
p-value for no. of wins: 0.089213
p-value for throws/game: 0.968148
_____________________________________________________________
RESULTS OF CRAPS TEST2 for dh-ranFile-2018-07-12_06:31
No. of wins: Observed Expected
98768 98585.9
z-score= 0.815, pvalue=0.79236
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66803 66666.7 0.279 0.279
2 37667 37654.3 0.004 0.283
3 26901 26954.7 0.107 0.390
4 19331 19313.5 0.016 0.406
5 14023 13851.4 2.125 2.532
6 9939 9943.5 0.002 2.534
7 7048 7145.0 1.318 3.851
8 5110 5139.1 0.164 4.016
9 3722 3699.9 0.132 4.148
10 2607 2666.3 1.319 5.467
11 1831 1923.3 4.432 9.899
12 1411 1388.7 0.357 10.256
13 967 1003.7 1.343 11.599
14 739 726.1 0.228 11.827
15 511 525.8 0.419 12.245
16 383 381.2 0.009 12.254
17 296 276.5 1.369 13.624
18 181 200.8 1.958 15.582
19 130 146.0 1.750 17.332
20 94 106.2 1.405 18.737
21 306 287.1 1.242 19.979
Chisq= 19.98 for 20 degrees of freedom, p= 0.54075
SUMMARY of craptest
p-value for no. of wins: 0.792362
p-value for throws/game: 0.540747
_____________________________________________________________
***** TEST SUMMARY *****
All p-values:
0.0083,0.0144,0.0183,0.0239,0.0256,0.0265,0.0305,0.0316,0.0354,0.0396,
0.0468,0.0501,0.0586,0.0590,0.0600,0.0608,0.0634,0.0669,0.0866,0.0892,
0.0902,0.0951,0.0998,0.1016,0.1059,0.1209,0.1224,0.1282,0.1285,0.1286,
0.1286,0.1324,0.1378,0.1380,0.1387,0.1487,0.1560,0.1659,0.1703,0.1731,
0.1834,0.2115,0.2126,0.2142,0.2188,0.2188,0.2195,0.2207,0.2215,0.2219,
0.2238,0.2259,0.2334,0.2365,0.2392,0.2407,0.2415,0.2438,0.2441,0.2494,
0.2585,0.2588,0.2654,0.2737,0.2760,0.2853,0.2922,0.2951,0.2984,0.2996,
0.3009,0.3021,0.3057,0.3114,0.3143,0.3143,0.3186,0.3211,0.3255,0.3255,
0.3255,0.3269,0.3328,0.3355,0.3381,0.3438,0.3459,0.3460,0.3498,0.3574,
0.3579,0.3615,0.3624,0.3651,0.3660,0.3744,0.3746,0.3795,0.3809,0.3814,
0.3853,0.3955,0.3971,0.4006,0.4018,0.4107,0.4173,0.4176,0.4193,0.4275,
0.4280,0.4295,0.4295,0.4309,0.4323,0.4384,0.4384,0.4491,0.4509,0.4550,
0.4556,0.4570,0.4652,0.4671,0.4680,0.4690,0.4738,0.4820,0.4879,0.4904,
0.4924,0.5000,0.5078,0.5078,0.5101,0.5120,0.5135,0.5155,0.5177,0.5195,
0.5226,0.5359,0.5394,0.5407,0.5419,0.5421,0.5452,0.5475,0.5522,0.5525,
0.5545,0.5559,0.5564,0.5617,0.5628,0.5634,0.5689,0.5745,0.5748,0.5796,
0.5869,0.5907,0.5963,0.5963,0.5989,0.6077,0.6151,0.6190,0.6259,0.6302,
0.6323,0.6366,0.6374,0.6385,0.6393,0.6473,0.6487,0.6496,0.6644,0.6652,
0.6670,0.6695,0.6843,0.6845,0.6874,0.6923,0.7007,0.7009,0.7135,0.7208,
0.7240,0.7276,0.7313,0.7335,0.7343,0.7366,0.7443,0.7450,0.7483,0.7571,
0.7572,0.7606,0.7614,0.7657,0.7682,0.7838,0.7856,0.7862,0.7878,0.7924,
0.7944,0.7986,0.8003,0.8049,0.8051,0.8072,0.8147,0.8181,0.8191,0.8216,
0.8254,0.8281,0.8296,0.8383,0.8492,0.8546,0.8549,0.8549,0.8570,0.8578,
0.8598,0.8602,0.8608,0.8674,0.8678,0.8718,0.8745,0.8807,0.8820,0.8854,
0.8867,0.8898,0.8969,0.9030,0.9043,0.9056,0.9082,0.9096,0.9118,0.9123,
0.9132,0.9238,0.9246,0.9292,0.9405,0.9464,0.9473,0.9488,0.9564,0.9628,
0.9637,0.9646,0.9681,0.9801,0.9808,0.9816,0.9823,0.9861,0.9986,
Overall p-value after applying KStest on 269 p-values = 0.627002
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.