RESULTS OF BIRTHDAY SPACINGS FOR dh-ranFile-2018-06-02_01:31
(no_bdays=1024, no_days/yr=2^24, lambda=16.00, sample size=500)
Bits used mean chisqr p-value
1 to 24 15.91 15.3645 0.430755
2 to 25 15.63 30.8870 0.979387
3 to 26 15.47 31.5227 0.982762
4 to 27 15.71 7.7476 0.028349
5 to 28 15.76 19.4843 0.698546
6 to 29 15.85 17.9334 0.606944
7 to 30 15.67 14.6264 0.377630
8 to 31 15.63 14.8047 0.390452
9 to 32 15.79 18.7628 0.657682
Chisquare degrees of freedom: 17
---------------------------------------------------------------
p-value for KStest on those 9 p-values: 0.400482
Tough bday spacings test for dh-ranFile-2018-06-02_01:31: 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 6 30 85 93 115 70 45 35 10 9 2
(O-E)^2/E 1.1 1.2 1.9 0.2 3.1 0.8 1.0 0.9 1.6 0.9 1.0
Birthday Spacings: Sum(O-E)^2/E= 13.712, p= 0.813
RESULTS OF GCD FOR dh-ranFile-2018-06-02_01:31
Euclid's algorithm:
p-value, steps to gcd: 0.477115
p-value, dist. of gcd's: 0.266113
Gorilla test for 2^26 bits, positions 0 to 31 for dh-ranFile-2018-06-02_01:31:
Note: lengthy test---for example, ~20 minutes for 850MHz PC
Bits 0 to 7---> 0.854 0.456 0.575 0.092 0.833 0.628 0.790 0.366
Bits 8 to 15---> 0.689 0.766 0.528 0.012 0.134 0.899 0.810 0.870
Bits 16 to 23---> 0.694 0.395 0.098 0.917 0.262 0.298 0.616 0.261
Bits 24 to 31---> 0.090 0.525 0.619 0.511 0.831 0.882 0.780 0.103
KS test for the above 32 p values: 0.466
The OPERM5 test for 10 million (overlapping) 5-tuples for dh-ranFile-2018-06-02_01:31,
p-values for 5 runs: 0.5137, 0.1292, 0.6030, 0.7284, 0.2846
Rank test for binary matrices (31x31) for dh-ranFile-2018-06-02_01:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=28 189 211.4 2.377 2.377
r= 29 4989 5134.0 4.096 6.473
r= 30 23122 23103.0 0.016 6.489
r= 31 11700 11551.5 1.908 8.397
chi-square = 8.397 with df = 3; p-value = 0.962
--------------------------------------------------------------
Rank test for binary matrices (32x32) for dh-ranFile-2018-06-02_01:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=29 211 211.4 0.001 0.001
r= 30 5134 5134.0 0.000 0.001
r= 31 23121 23103.0 0.014 0.015
r= 32 11534 11551.5 0.027 0.041
chi-square = 0.041 with df = 3; p-value = 0.002
--------------------------------------------------------------
Rank test for binary matrices (6x8) for dh-ranFile-2018-06-02_01:31
b-rank test for bits 1 to 8, p=0.35144
b-rank test for bits 2 to 9, p=0.73591
b-rank test for bits 3 to 10, p=0.56867
b-rank test for bits 4 to 11, p=0.24875
b-rank test for bits 5 to 12, p=0.86705
b-rank test for bits 6 to 13, p=0.86897
b-rank test for bits 7 to 14, p=0.60674
b-rank test for bits 8 to 15, p=0.43152
b-rank test for bits 9 to 16, p=0.14329
b-rank test for bits 10 to 17, p=0.06609
b-rank test for bits 11 to 18, p=0.13041
b-rank test for bits 12 to 19, p=0.74877
b-rank test for bits 13 to 20, p=0.55283
b-rank test for bits 14 to 21, p=0.61708
b-rank test for bits 15 to 22, p=0.68308
b-rank test for bits 16 to 23, p=0.33916
b-rank test for bits 17 to 24, p=0.09248
b-rank test for bits 18 to 25, p=0.51296
b-rank test for bits 19 to 26, p=0.45707
b-rank test for bits 20 to 27, p=0.64810
b-rank test for bits 21 to 28, p=0.52216
b-rank test for bits 22 to 29, p=0.56202
b-rank test for bits 23 to 30, p=0.69852
b-rank test for bits 24 to 31, p=0.85831
b-rank test for bits 25 to 32, p=0.82687
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 = 0.459792
THE OVERLAPPING 20-TUPLES BITSTREAM TEST for dh-ranFile-2018-06-02_01:31
(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 141762 -0.34 0.365337
2 141999 0.21 0.582975
3 142473 1.32 0.906078
4 142274 0.85 0.802902
5 141373 -1.25 0.105083
6 142079 0.40 0.654104
7 142155 0.57 0.717015
8 141838 -0.17 0.433819
9 141958 0.11 0.545268
10 141523 -0.90 0.183358
11 142264 0.83 0.796354
12 141733 -0.41 0.340175
13 141526 -0.90 0.185225
14 142403 1.15 0.875634
15 142563 1.53 0.936653
16 142413 1.18 0.880362
17 141869 -0.09 0.462464
18 141438 -1.10 0.135396
19 142007 0.23 0.590255
20 141840 -0.16 0.435658
----------------------------------------------------------------
OPSO test for dh-ranFile-2018-06-02_01:31
Bits used No. missing words z-score p-value
23 to 32 141590 -1.1011 0.135418
22 to 31 141761 -0.5115 0.304507
21 to 30 141947 0.1299 0.551676
20 to 29 141981 0.2471 0.597599
19 to 28 141652 -0.8873 0.187447
18 to 27 142388 1.6506 0.950588
17 to 26 142061 0.5230 0.699513
16 to 25 142214 1.0506 0.853276
15 to 24 142314 1.3954 0.918554
14 to 23 141725 -0.6356 0.262512
13 to 22 141805 -0.3598 0.359514
12 to 21 142411 1.7299 0.958176
11 to 20 142461 1.9023 0.971435
10 to 19 141768 -0.4873 0.313007
9 to 18 141744 -0.5701 0.284304
8 to 17 141888 -0.0736 0.470684
7 to 16 142264 1.2230 0.889335
6 to 15 142199 0.9989 0.841069
5 to 14 141318 -2.0391 0.020722
4 to 13 141755 -0.5322 0.297303
3 to 12 141965 0.1920 0.576115
2 to 11 141926 0.0575 0.522920
1 to 10 141509 -1.3804 0.083724
-----------------------------------------------------------------
OQSO test for dh-ranFile-2018-06-02_01:31
Bits used No. missing words z-score p-value
28 to 32 142158 0.8429 0.800372
27 to 31 142049 0.4735 0.682057
26 to 30 142046 0.4633 0.678421
25 to 29 141533 -1.2757 0.101032
24 to 28 142420 1.7311 0.958282
23 to 27 141853 -0.1909 0.424283
22 to 26 141760 -0.5062 0.306357
21 to 25 141839 -0.2384 0.405783
20 to 24 142182 0.9243 0.822336
19 to 23 142112 0.6870 0.753964
18 to 22 142448 1.8260 0.966075
17 to 21 141650 -0.8791 0.189678
16 to 20 141986 0.2599 0.602529
15 to 19 141902 -0.0248 0.490088
14 to 18 141978 0.2328 0.592034
13 to 17 142376 1.5819 0.943167
12 to 16 141877 -0.1096 0.456366
11 to 15 141944 0.1175 0.546778
10 to 14 141746 -0.5537 0.289905
9 to 13 142170 0.8836 0.811551
8 to 12 142378 1.5887 0.943937
7 to 11 141779 -0.4418 0.329318
6 to 10 141642 -0.9062 0.182414
5 to 9 141478 -1.4621 0.071852
4 to 8 141400 -1.7265 0.042125
3 to 7 142027 0.3989 0.655010
2 to 6 142369 1.5582 0.940407
1 to 5 141427 -1.6350 0.051023
-----------------------------------------------------------------
DNA test for dh-ranFile-2018-06-02_01:31
Bits used No. missing words z-score p-value
31 to 32 142089 0.5300 0.701944
30 to 31 141713 -0.5791 0.281246
29 to 30 142268 1.0580 0.854978
28 to 29 141533 -1.1101 0.133474
27 to 28 142170 0.7689 0.779035
26 to 27 141785 -0.3668 0.356901
25 to 26 142222 0.9223 0.821822
24 to 25 141270 -1.8859 0.029652
23 to 24 142096 0.5506 0.709063
22 to 23 141882 -0.0806 0.467872
21 to 22 140996 -2.6942 0.003528
20 to 21 141541 -1.0865 0.138625
19 to 20 141992 0.2439 0.596332
18 to 19 141624 -0.8417 0.199983
17 to 18 141546 -1.0718 0.141912
16 to 17 142616 2.0846 0.981446
15 to 16 141311 -1.7650 0.038783
14 to 15 141544 -1.0777 0.140591
13 to 14 142308 1.1760 0.880206
12 to 13 141224 -2.0216 0.021608
11 to 12 141092 -2.4110 0.007954
10 to 11 141971 0.1819 0.572176
9 to 10 142234 0.9577 0.830900
8 to 9 142080 0.5035 0.692677
7 to 8 141346 -1.6617 0.048282
6 to 7 141913 0.0108 0.504319
5 to 6 141606 -0.8948 0.185453
4 to 5 142878 2.8574 0.997865
3 to 4 141623 -0.8446 0.199158
2 to 3 142116 0.6096 0.728952
1 to 2 142087 0.5241 0.699896
-----------------------------------------------------------------
Test result COUNT-THE-1's in bytes for dh-ranFile-2018-06-02_01:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 2560000)
chisquare z-score p-value
2477.92 -0.312 0.377406
Test results for specific bytes for dh-ranFile-2018-06-02_01:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 256000)
bits used chisquare z-score p-value
1 to 8 2538.33 0.542 0.706113
2 to 9 2458.98 -0.580 0.280897
3 to 10 2500.59 0.008 0.503310
4 to 11 2625.62 1.777 0.962182
5 to 12 2526.31 0.372 0.645107
6 to 13 2461.71 -0.542 0.294070
7 to 14 2469.37 -0.433 0.332437
8 to 15 2546.96 0.664 0.746685
9 to 16 2401.83 -1.388 0.082510
10 to 17 2616.29 1.645 0.949966
11 to 18 2440.73 -0.838 0.200970
12 to 19 2558.03 0.821 0.794095
13 to 20 2563.85 0.903 0.816732
14 to 21 2540.69 0.575 0.717508
15 to 22 2532.57 0.461 0.677481
16 to 23 2696.83 2.784 0.997312
17 to 24 2439.01 -0.863 0.194181
18 to 25 2590.90 1.285 0.900690
19 to 26 2469.36 -0.433 0.332403
20 to 27 2602.16 1.445 0.925738
21 to 28 2594.21 1.332 0.908628
22 to 29 2575.96 1.074 0.858629
23 to 30 2546.26 0.654 0.743520
24 to 31 2493.07 -0.098 0.460968
25 to 32 2512.36 0.175 0.569386
CDPARK for dh-ranFile-2018-06-02_01:31: 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
3515 -0.3653 0.357445
3526 0.1370 0.554479
3582 2.6941 0.996471
3536 0.5936 0.723613
3494 -1.3242 0.092718
3490 -1.5068 0.065925
3529 0.2740 0.607947
3515 -0.3653 0.357445
3556 1.5068 0.934075
3528 0.2283 0.590298
Square side=100, avg. no. parked=3527.10 sample std.=25.88
p-value of the KSTEST for those 10 p-values: 0.756862
Results for the MINIMUM DISTANCE test for dh-ranFile-2018-06-02_01:31
0.9315,0.0896,0.7911,0.5514,0.8365,0.6904,0.0154,0.2197,0.1731,0.9413,
The KS test for those 10 p-values: 0.599013
The 3DSPHERES test for dh-ranFile-2018-06-02_01:31
sample no r^3 equiv. uni.
1 6.728 0.200895
2 3.011 0.095496
3 8.453 0.245544
4 69.448 0.901227
5 43.030 0.761723
6 23.159 0.537893
7 10.290 0.290369
8 19.799 0.483138
9 27.588 0.601326
10 32.947 0.666542
11 1.189 0.038866
12 19.153 0.471874
13 45.080 0.777465
14 7.628 0.224507
15 35.331 0.692018
16 94.061 0.956516
17 3.362 0.106015
18 42.489 0.757389
19 14.942 0.392299
20 0.852 0.027997
--------------------------------------------------------------
p-value for KS test on those 20 p-values: 0.908582
RESULTS OF SQUEEZE TEST FOR dh-ranFile-2018-06-02_01:31
Table of standardized frequency counts
(obs-exp)^2/exp for j=(1,..,6), 7,...,47,(48,...)
-0.8 0.1 -1.1 -1.4 0.8 -1.2
0.9 -0.8 0.8 -0.4 -0.8 -0.1
-1.4 0.0 -0.3 1.6 -1.4 0.1
-0.1 -0.1 -0.3 1.2 0.7 -0.7
0.8 1.6 0.6 -0.2 -0.9 1.6
-0.7 0.1 -2.7 -1.1 0.5 1.7
-0.2 -0.1 0.9 0.4 -0.6 0.0
0.8
Chi-square with 42 degrees of freedom:39.179704
z-score=-0.307719, p-value=0.404523
_____________________________________________________________
Results of the OSUM test for dh-ranFile-2018-06-02_01:31
Test no p-value
1 0.449972
2 0.644043
3 0.653552
4 0.086106
5 0.022918
6 0.155918
7 0.190461
8 0.692390
9 0.042398
10 0.510798
_____________________________________________________________
p-value for 10 kstests on 100 sums: 0.107487
Test for lengths of runs up and runs down, 100,000 each for dh-ranFile-2018-06-02_01:31:
(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 66621 0.03 66682 0.00
3 25000.00 25137 0.75 25037 0.05
4 6666.67 6551 2.01 6628 0.22
5 1388.89 1436 1.60 1376 0.12
6 238.10 219 1.53 238 0.00
7 34.72 31 0.40 31 0.40
8 4.96 4 0.19 7 0.84
p=0.63071 p=0.05033
Number of rngs required: 688068, p-value: 0.350
RESULTS OF CRAPS TEST for dh-ranFile-2018-06-02_01:31
No. of wins: Observed Expected
98443 98585.9
z-score=-0.639, pvalue=0.26143
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66446 66666.7 0.730 0.730
2 37533 37654.3 0.391 1.121
3 26930 26954.7 0.023 1.144
4 19479 19313.5 1.419 2.563
5 13894 13851.4 0.131 2.694
6 9956 9943.5 0.016 2.709
7 7050 7145.0 1.264 3.973
8 5136 5139.1 0.002 3.975
9 3835 3699.9 4.936 8.911
10 2609 2666.3 1.231 10.142
11 1952 1923.3 0.427 10.569
12 1402 1388.7 0.127 10.696
13 1070 1003.7 4.377 15.073
14 754 726.1 1.069 16.142
15 517 525.8 0.148 16.291
16 438 381.2 8.479 24.770
17 277 276.5 0.001 24.771
18 198 200.8 0.040 24.811
19 146 146.0 0.000 24.811
20 95 106.2 1.184 25.995
21 283 287.1 0.059 26.054
Chisq= 26.05 for 20 degrees of freedom, p= 0.83596
SUMMARY of craptest
p-value for no. of wins: 0.261429
p-value for throws/game: 0.835956
_____________________________________________________________
RESULTS OF CRAPS TEST2 for dh-ranFile-2018-06-02_01:31
No. of wins: Observed Expected
99066 98585.9
z-score= 2.147, pvalue=0.98412
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66810 66666.7 0.308 0.308
2 37530 37654.3 0.410 0.719
3 26916 26954.7 0.056 0.774
4 19258 19313.5 0.159 0.934
5 13727 13851.4 1.118 2.051
6 10130 9943.5 3.496 5.548
7 7243 7145.0 1.343 6.891
8 5123 5139.1 0.050 6.941
9 3734 3699.9 0.315 7.256
10 2574 2666.3 3.195 10.451
11 1933 1923.3 0.049 10.500
12 1382 1388.7 0.033 10.532
13 995 1003.7 0.076 10.608
14 716 726.1 0.142 10.750
15 542 525.8 0.497 11.247
16 377 381.2 0.045 11.292
17 248 276.5 2.945 14.237
18 180 200.8 2.160 16.398
19 154 146.0 0.440 16.838
20 130 106.2 5.326 22.164
21 298 287.1 0.413 22.577
Chisq= 22.58 for 20 degrees of freedom, p= 0.68994
SUMMARY of craptest
p-value for no. of wins: 0.984122
p-value for throws/game: 0.689943
_____________________________________________________________
***** TEST SUMMARY *****
All p-values:
0.0022,0.0035,0.0080,0.0118,0.0154,0.0207,0.0216,0.0229,0.0280,0.0283,
0.0297,0.0388,0.0389,0.0421,0.0424,0.0483,0.0503,0.0510,0.0659,0.0661,
0.0719,0.0825,0.0837,0.0861,0.0896,0.0903,0.0916,0.0925,0.0927,0.0955,
0.0977,0.1010,0.1027,0.1051,0.1060,0.1075,0.1292,0.1304,0.1335,0.1343,
0.1354,0.1354,0.1386,0.1406,0.1419,0.1433,0.1559,0.1731,0.1824,0.1834,
0.1852,0.1855,0.1874,0.1897,0.1905,0.1942,0.1992,0.2000,0.2009,0.2010,
0.2197,0.2245,0.2455,0.2487,0.2606,0.2614,0.2623,0.2625,0.2661,0.2809,
0.2812,0.2843,0.2846,0.2899,0.2904,0.2941,0.2973,0.2982,0.3045,0.3064,
0.3130,0.3293,0.3324,0.3324,0.3392,0.3402,0.3498,0.3514,0.3569,0.3574,
0.3574,0.3595,0.3653,0.3663,0.3774,0.3776,0.3905,0.3923,0.3948,0.4005,
0.4045,0.4058,0.4243,0.4308,0.4315,0.4338,0.4357,0.4500,0.4559,0.4564,
0.4571,0.4598,0.4610,0.4625,0.4661,0.4679,0.4707,0.4719,0.4771,0.4831,
0.4901,0.5033,0.5043,0.5108,0.5115,0.5130,0.5137,0.5222,0.5229,0.5252,
0.5277,0.5379,0.5453,0.5468,0.5514,0.5517,0.5528,0.5545,0.5620,0.5687,
0.5694,0.5722,0.5752,0.5761,0.5830,0.5903,0.5903,0.5920,0.5963,0.5976,
0.5990,0.6013,0.6025,0.6030,0.6067,0.6069,0.6079,0.6156,0.6171,0.6195,
0.6277,0.6307,0.6440,0.6451,0.6481,0.6536,0.6541,0.6550,0.6577,0.6665,
0.6775,0.6784,0.6821,0.6831,0.6887,0.6899,0.6904,0.6920,0.6924,0.6927,
0.6937,0.6985,0.6985,0.6995,0.6999,0.7019,0.7061,0.7091,0.7170,0.7175,
0.7236,0.7284,0.7290,0.7359,0.7435,0.7467,0.7488,0.7540,0.7569,0.7574,
0.7617,0.7660,0.7775,0.7790,0.7803,0.7897,0.7911,0.7941,0.7964,0.8004,
0.8029,0.8101,0.8116,0.8134,0.8167,0.8218,0.8223,0.8269,0.8307,0.8309,
0.8327,0.8360,0.8365,0.8411,0.8533,0.8538,0.8550,0.8583,0.8586,0.8671,
0.8690,0.8698,0.8756,0.8802,0.8804,0.8816,0.8893,0.8991,0.9007,0.9012,
0.9061,0.9086,0.9086,0.9173,0.9186,0.9257,0.9315,0.9341,0.9367,0.9404,
0.9413,0.9432,0.9439,0.9500,0.9506,0.9565,0.9582,0.9583,0.9615,0.9622,
0.9661,0.9714,0.9794,0.9814,0.9828,0.9841,0.9965,0.9973,0.9979,
Overall p-value after applying KStest on 269 p-values = 0.426450
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.