RESULTS OF BIRTHDAY SPACINGS FOR dh-ranFile-2017-07-03_16:31
(no_bdays=1024, no_days/yr=2^24, lambda=16.00, sample size=500)
Bits used mean chisqr p-value
1 to 24 15.81 16.2235 0.491950
2 to 25 15.71 8.9658 0.058670
3 to 26 15.71 17.9546 0.608291
4 to 27 15.77 13.4196 0.292328
5 to 28 16.11 22.1888 0.822433
6 to 29 15.96 12.0874 0.205184
7 to 30 15.92 22.2574 0.824979
8 to 31 15.78 10.9689 0.141822
9 to 32 15.64 17.7787 0.597074
Chisquare degrees of freedom: 17
---------------------------------------------------------------
p-value for KStest on those 9 p-values: 0.898514
Tough bday spacings test for dh-ranFile-2017-07-03_16:31: 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 7 39 65 103 102 83 51 32 11 4 3
(O-E)^2/E 0.5 0.2 0.9 0.3 0.2 0.3 0.0 0.2 1.0 1.0 0.3
Birthday Spacings: Sum(O-E)^2/E= 4.893, p= 0.102
RESULTS OF GCD FOR dh-ranFile-2017-07-03_16:31
Euclid's algorithm:
p-value, steps to gcd: 0.163070
p-value, dist. of gcd's: 0.559982
Gorilla test for 2^26 bits, positions 0 to 31 for dh-ranFile-2017-07-03_16:31:
Note: lengthy test---for example, ~20 minutes for 850MHz PC
Bits 0 to 7---> 0.039 0.595 0.185 0.017 0.049 0.995 0.787 0.783
Bits 8 to 15---> 0.492 0.235 0.131 0.495 0.549 0.174 0.880 0.655
Bits 16 to 23---> 0.779 0.703 0.967 0.726 0.582 0.360 0.130 0.244
Bits 24 to 31---> 0.460 0.884 0.696 0.664 0.271 0.621 0.656 0.931
KS test for the above 32 p values: 0.127
The OPERM5 test for 10 million (overlapping) 5-tuples for dh-ranFile-2017-07-03_16:31,
p-values for 5 runs: 0.6941, 0.6247, 0.3845, 0.0897, 0.4049
Rank test for binary matrices (31x31) for dh-ranFile-2017-07-03_16:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=28 186 211.4 3.056 3.056
r= 29 5226 5134.0 1.648 4.704
r= 30 23043 23103.0 0.156 4.860
r= 31 11545 11551.5 0.004 4.864
chi-square = 4.864 with df = 3; p-value = 0.818
--------------------------------------------------------------
Rank test for binary matrices (32x32) for dh-ranFile-2017-07-03_16:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=29 210 211.4 0.010 0.010
r= 30 5323 5134.0 6.957 6.966
r= 31 22735 23103.0 5.863 12.830
r= 32 11732 11551.5 2.820 15.649
chi-square = 15.649 with df = 3; p-value = 0.999
--------------------------------------------------------------
Rank test for binary matrices (6x8) for dh-ranFile-2017-07-03_16:31
b-rank test for bits 1 to 8, p=0.66207
b-rank test for bits 2 to 9, p=0.73380
b-rank test for bits 3 to 10, p=0.21155
b-rank test for bits 4 to 11, p=0.13339
b-rank test for bits 5 to 12, p=0.80490
b-rank test for bits 6 to 13, p=0.79304
b-rank test for bits 7 to 14, p=0.19897
b-rank test for bits 8 to 15, p=0.31300
b-rank test for bits 9 to 16, p=0.98010
b-rank test for bits 10 to 17, p=0.73074
b-rank test for bits 11 to 18, p=0.46742
b-rank test for bits 12 to 19, p=0.76502
b-rank test for bits 13 to 20, p=0.17261
b-rank test for bits 14 to 21, p=0.32727
b-rank test for bits 15 to 22, p=0.11055
b-rank test for bits 16 to 23, p=0.20781
b-rank test for bits 17 to 24, p=0.73014
b-rank test for bits 18 to 25, p=0.37055
b-rank test for bits 19 to 26, p=0.32462
b-rank test for bits 20 to 27, p=0.27557
b-rank test for bits 21 to 28, p=0.38873
b-rank test for bits 22 to 29, p=0.48762
b-rank test for bits 23 to 30, p=0.92290
b-rank test for bits 24 to 31, p=0.10003
b-rank test for bits 25 to 32, p=0.29146
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 = 0.499456
THE OVERLAPPING 20-TUPLES BITSTREAM TEST for dh-ranFile-2017-07-03_16:31
(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 142260 0.82 0.793699
2 142041 0.31 0.620822
3 142614 1.65 0.950162
4 141359 -1.29 0.099253
5 141950 0.10 0.537852
6 141904 -0.01 0.495032
7 142331 0.99 0.837740
8 141498 -0.96 0.168263
9 141423 -1.14 0.127919
10 141678 -0.54 0.294429
11 142266 0.83 0.797674
12 142121 0.49 0.689543
13 141888 -0.05 0.480126
14 141557 -0.82 0.205197
15 142045 0.32 0.624373
16 142052 0.33 0.630562
17 140965 -2.21 0.013679
18 141555 -0.83 0.203871
19 142038 0.30 0.618152
20 141774 -0.32 0.375929
----------------------------------------------------------------
OPSO test for dh-ranFile-2017-07-03_16:31
Bits used No. missing words z-score p-value
23 to 32 141895 -0.0494 0.480295
22 to 31 142368 1.5816 0.943132
21 to 30 141788 -0.4184 0.337835
20 to 29 141776 -0.4598 0.322845
19 to 28 141861 -0.1667 0.433821
18 to 27 142117 0.7161 0.763036
17 to 26 141866 -0.1494 0.440614
16 to 25 141946 0.1264 0.550312
15 to 24 142354 1.5333 0.937405
14 to 23 141964 0.1885 0.574764
13 to 22 141993 0.2885 0.613525
12 to 21 141703 -0.7115 0.238393
11 to 20 141694 -0.7425 0.228887
10 to 19 141217 -2.3873 0.008485
9 to 18 142353 1.5299 0.936979
8 to 17 142524 2.1196 0.982978
7 to 16 142734 2.8437 0.997770
6 to 15 141574 -1.1563 0.123777
5 to 14 141662 -0.8529 0.196868
4 to 13 141746 -0.5632 0.286647
3 to 12 141710 -0.6873 0.245933
2 to 11 141968 0.2023 0.580163
1 to 10 141696 -0.7356 0.230981
-----------------------------------------------------------------
OQSO test for dh-ranFile-2017-07-03_16:31
Bits used No. missing words z-score p-value
28 to 32 142269 1.2192 0.888620
27 to 31 141873 -0.1232 0.450993
26 to 30 141756 -0.5198 0.301615
25 to 29 141728 -0.6147 0.269384
24 to 28 141880 -0.0994 0.460401
23 to 27 142016 0.3616 0.641172
22 to 26 141699 -0.7130 0.237928
21 to 25 142242 1.1277 0.870276
20 to 24 141975 0.2226 0.588081
19 to 23 141791 -0.4011 0.344166
18 to 22 142255 1.1718 0.879354
17 to 21 142087 0.6023 0.726503
16 to 20 141825 -0.2859 0.387491
15 to 19 142135 0.7650 0.777859
14 to 18 141827 -0.2791 0.390090
13 to 17 141630 -0.9469 0.171850
12 to 16 141556 -1.1977 0.115511
11 to 15 141819 -0.3062 0.379725
10 to 14 141824 -0.2893 0.386193
9 to 13 141614 -1.0011 0.158385
8 to 12 141658 -0.8520 0.197116
7 to 11 141626 -0.9604 0.168417
6 to 10 141842 -0.2282 0.409731
5 to 9 141949 0.1345 0.553486
4 to 8 141610 -1.0147 0.155130
3 to 7 142279 1.2531 0.894919
2 to 6 142065 0.5277 0.701145
1 to 5 141973 0.2158 0.585440
-----------------------------------------------------------------
DNA test for dh-ranFile-2017-07-03_16:31
Bits used No. missing words z-score p-value
31 to 32 141690 -0.6470 0.258819
30 to 31 141549 -1.0629 0.143909
29 to 30 141304 -1.7856 0.037079
28 to 29 141972 0.1849 0.573333
27 to 28 142188 0.8220 0.794472
26 to 27 141918 0.0256 0.510202
25 to 26 142096 0.5506 0.709063
24 to 25 141400 -1.5024 0.066491
23 to 24 141571 -0.9980 0.159134
22 to 23 141853 -0.1662 0.434014
21 to 22 142339 1.2675 0.897505
20 to 21 142252 1.0108 0.843950
19 to 20 142045 0.4002 0.655498
18 to 19 141862 -0.1396 0.444482
17 to 18 141392 -1.5260 0.063499
16 to 17 142377 1.3796 0.916139
15 to 16 141726 -0.5408 0.294324
14 to 15 142140 0.6804 0.751888
13 to 14 141280 -1.8564 0.031696
12 to 13 142515 1.7866 0.963002
11 to 12 142055 0.4297 0.666295
10 to 11 142302 1.1583 0.876633
9 to 10 141926 0.0492 0.519610
8 to 9 141805 -0.3078 0.379133
7 to 8 141797 -0.3314 0.370187
6 to 7 142232 0.9518 0.829408
5 to 6 141625 -0.8387 0.200810
4 to 5 142399 1.4445 0.925694
3 to 4 141433 -1.4051 0.079995
2 to 3 141616 -0.8653 0.193443
1 to 2 142407 1.4681 0.928955
-----------------------------------------------------------------
Test result COUNT-THE-1's in bytes for dh-ranFile-2017-07-03_16:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 2560000)
chisquare z-score p-value
2486.12 -0.196 0.422218
Test results for specific bytes for dh-ranFile-2017-07-03_16:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 256000)
bits used chisquare z-score p-value
1 to 8 2654.32 2.182 0.985463
2 to 9 2358.61 -2.000 0.022773
3 to 10 2529.23 0.413 0.660354
4 to 11 2451.15 -0.691 0.244847
5 to 12 2548.91 0.692 0.755435
6 to 13 2462.56 -0.530 0.298227
7 to 14 2494.78 -0.074 0.470571
8 to 15 2365.61 -1.901 0.028676
9 to 16 2412.13 -1.243 0.106985
10 to 17 2408.30 -1.297 0.097335
11 to 18 2559.38 0.840 0.799484
12 to 19 2505.55 0.078 0.531256
13 to 20 2624.66 1.763 0.961050
14 to 21 2549.05 0.694 0.756060
15 to 22 2392.81 -1.516 0.064773
16 to 23 2432.18 -0.959 0.168765
17 to 24 2577.10 1.090 0.862237
18 to 25 2598.30 1.390 0.917768
19 to 26 2404.91 -1.345 0.089345
20 to 27 2366.56 -1.887 0.029570
21 to 28 2508.70 0.123 0.548951
22 to 29 2584.11 1.189 0.882874
23 to 30 2540.18 0.568 0.715069
24 to 31 2497.92 -0.029 0.488267
25 to 32 2499.14 -0.012 0.495127
CDPARK for dh-ranFile-2017-07-03_16:31: 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
3525 0.0913 0.536383
3561 1.7352 0.958644
3524 0.0457 0.518210
3561 1.7352 0.958644
3525 0.0913 0.536383
3523 0.0000 0.500000
3510 -0.5936 0.276387
3531 0.3653 0.642555
3549 1.1872 0.882429
3526 0.1370 0.554479
Square side=100, avg. no. parked=3533.50 sample std.=16.47
p-value of the KSTEST for those 10 p-values: 0.126289
Results for the MINIMUM DISTANCE test for dh-ranFile-2017-07-03_16:31
0.3097,0.3915,0.2449,0.0116,0.9667,0.7173,0.7116,0.5514,0.9229,0.7286,
The KS test for those 10 p-values: 0.771958
The 3DSPHERES test for dh-ranFile-2017-07-03_16:31
sample no r^3 equiv. uni.
1 17.348 0.439131
2 10.576 0.297098
3 2.982 0.094625
4 0.369 0.012220
5 19.226 0.473158
6 19.635 0.480303
7 30.093 0.633264
8 20.672 0.497952
9 49.135 0.805601
10 20.136 0.488901
11 2.794 0.088932
12 20.993 0.503295
13 6.997 0.208031
14 10.006 0.283608
15 42.601 0.758296
16 25.906 0.578333
17 50.841 0.816344
18 134.660 0.988764
19 34.110 0.679223
20 5.794 0.175622
--------------------------------------------------------------
p-value for KS test on those 20 p-values: 0.767399
RESULTS OF SQUEEZE TEST FOR dh-ranFile-2017-07-03_16:31
Table of standardized frequency counts
(obs-exp)^2/exp for j=(1,..,6), 7,...,47,(48,...)
-1.5 -0.7 1.8 0.3 -0.3 -0.2
-1.3 -1.0 -1.0 0.8 -0.6 0.3
-0.5 -0.2 1.2 -1.6 0.0 1.5
0.9 -0.4 -0.4 0.4 -0.2 -0.0
0.5 0.0 0.3 0.2 -2.6 -0.7
0.9 -1.0 0.2 1.6 -0.1 0.1
-0.9 1.5 0.1 1.0 1.6 0.0
0.8
Chi-square with 42 degrees of freedom:39.113408
z-score=-0.314953, p-value=0.401592
_____________________________________________________________
Results of the OSUM test for dh-ranFile-2017-07-03_16:31
Test no p-value
1 0.617373
2 0.018526
3 0.693152
4 0.302862
5 0.086645
6 0.407676
7 0.010508
8 0.023851
9 0.283590
10 0.089424
_____________________________________________________________
p-value for 10 kstests on 100 sums: 0.003843
Test for lengths of runs up and runs down, 100,000 each for dh-ranFile-2017-07-03_16:31:
(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 66533 0.27 66837 0.44
3 25000.00 25236 2.23 24839 1.04
4 6666.67 6599 0.69 6599 0.69
5 1388.89 1325 2.94 1431 1.28
6 238.10 255 1.20 254 1.06
7 34.72 46 3.66 35 0.00
8 4.96 5 0.00 4 0.19
p=0.91122 p=0.41535
Number of rngs required: 688141, p-value: 0.381
RESULTS OF CRAPS TEST for dh-ranFile-2017-07-03_16:31
No. of wins: Observed Expected
98155 98585.9
z-score=-1.927, pvalue=0.02699
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66382 66666.7 1.216 1.216
2 37894 37654.3 1.526 2.741
3 26860 26954.7 0.333 3.074
4 19512 19313.5 2.041 5.115
5 13826 13851.4 0.047 5.162
6 10020 9943.5 0.588 5.750
7 7158 7145.0 0.024 5.773
8 5133 5139.1 0.007 5.780
9 3652 3699.9 0.619 6.399
10 2614 2666.3 1.026 7.425
11 1943 1923.3 0.201 7.626
12 1383 1388.7 0.024 7.650
13 1003 1003.7 0.001 7.651
14 737 726.1 0.162 7.813
15 518 525.8 0.117 7.930
16 367 381.2 0.525 8.455
17 293 276.5 0.980 9.435
18 190 200.8 0.584 10.019
19 156 146.0 0.687 10.706
20 96 106.2 0.982 11.689
21 263 287.1 2.025 13.714
Chisq= 13.71 for 20 degrees of freedom, p= 0.15530
SUMMARY of craptest
p-value for no. of wins: 0.026987
p-value for throws/game: 0.155299
_____________________________________________________________
RESULTS OF CRAPS TEST2 for dh-ranFile-2017-07-03_16:31
No. of wins: Observed Expected
98391 98585.9
z-score=-0.872, pvalue=0.19173
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66428 66666.7 0.854 0.854
2 37961 37654.3 2.498 3.352
3 27044 26954.7 0.296 3.648
4 19101 19313.5 2.337 5.985
5 13960 13851.4 0.851 6.836
6 9806 9943.5 1.903 8.739
7 7221 7145.0 0.808 9.547
8 5194 5139.1 0.587 10.134
9 3685 3699.9 0.060 10.193
10 2677 2666.3 0.043 10.236
11 1851 1923.3 2.720 12.956
12 1379 1388.7 0.068 13.025
13 1081 1003.7 5.951 18.976
14 724 726.1 0.006 18.982
15 546 525.8 0.773 19.755
16 360 381.2 1.174 20.929
17 227 276.5 8.875 29.803
18 220 200.8 1.830 31.633
19 137 146.0 0.553 32.186
20 108 106.2 0.030 32.216
21 290 287.1 0.029 32.245
Chisq= 32.25 for 20 degrees of freedom, p= 0.95924
SUMMARY of craptest
p-value for no. of wins: 0.191735
p-value for throws/game: 0.959245
_____________________________________________________________
***** TEST SUMMARY *****
All p-values:
0.0038,0.0085,0.0105,0.0116,0.0122,0.0137,0.0167,0.0185,0.0228,0.0239,
0.0270,0.0287,0.0296,0.0317,0.0371,0.0387,0.0486,0.0587,0.0635,0.0648,
0.0665,0.0800,0.0866,0.0889,0.0893,0.0894,0.0897,0.0946,0.0973,0.0993,
0.1000,0.1018,0.1070,0.1105,0.1155,0.1238,0.1263,0.1275,0.1279,0.1295,
0.1308,0.1334,0.1418,0.1439,0.1551,0.1553,0.1584,0.1591,0.1631,0.1683,
0.1684,0.1688,0.1718,0.1726,0.1739,0.1756,0.1845,0.1917,0.1934,0.1969,
0.1971,0.1990,0.2008,0.2039,0.2052,0.2052,0.2078,0.2080,0.2116,0.2289,
0.2310,0.2348,0.2379,0.2384,0.2436,0.2448,0.2449,0.2459,0.2588,0.2694,
0.2714,0.2756,0.2764,0.2836,0.2836,0.2866,0.2915,0.2923,0.2943,0.2944,
0.2971,0.2982,0.3016,0.3029,0.3097,0.3130,0.3228,0.3246,0.3273,0.3378,
0.3442,0.3601,0.3702,0.3706,0.3759,0.3791,0.3797,0.3815,0.3845,0.3862,
0.3875,0.3887,0.3901,0.3915,0.4016,0.4049,0.4077,0.4097,0.4154,0.4222,
0.4338,0.4340,0.4391,0.4406,0.4445,0.4510,0.4602,0.4604,0.4674,0.4706,
0.4732,0.4801,0.4803,0.4803,0.4876,0.4883,0.4889,0.4919,0.4922,0.4950,
0.4951,0.4954,0.4980,0.4995,0.5000,0.5033,0.5102,0.5182,0.5196,0.5313,
0.5364,0.5364,0.5379,0.5487,0.5490,0.5503,0.5514,0.5535,0.5545,0.5600,
0.5733,0.5748,0.5783,0.5802,0.5816,0.5854,0.5881,0.5948,0.5971,0.6083,
0.6135,0.6174,0.6182,0.6208,0.6210,0.6244,0.6247,0.6306,0.6333,0.6412,
0.6426,0.6554,0.6555,0.6564,0.6604,0.6621,0.6640,0.6663,0.6792,0.6895,
0.6932,0.6941,0.6962,0.7011,0.7031,0.7091,0.7116,0.7151,0.7173,0.7265,
0.7265,0.7286,0.7301,0.7307,0.7338,0.7519,0.7554,0.7561,0.7583,0.7630,
0.7650,0.7674,0.7720,0.7779,0.7791,0.7826,0.7866,0.7930,0.7937,0.7945,
0.7977,0.7995,0.8049,0.8056,0.8163,0.8180,0.8224,0.8250,0.8294,0.8377,
0.8440,0.8622,0.8703,0.8766,0.8794,0.8805,0.8824,0.8829,0.8842,0.8886,
0.8949,0.8975,0.8985,0.9112,0.9161,0.9178,0.9229,0.9229,0.9257,0.9290,
0.9309,0.9370,0.9374,0.9431,0.9502,0.9586,0.9586,0.9592,0.9610,0.9630,
0.9667,0.9671,0.9801,0.9830,0.9855,0.9888,0.9954,0.9978,0.9987,
Overall p-value after applying KStest on 269 p-values = 0.522214
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.