RESULTS OF BIRTHDAY SPACINGS FOR dh-ranFile-2018-06-15_20:31
(no_bdays=1024, no_days/yr=2^24, lambda=16.00, sample size=500)
Bits used mean chisqr p-value
1 to 24 16.03 10.7592 0.131195
2 to 25 15.63 19.7433 0.712430
3 to 26 15.96 11.2420 0.156288
4 to 27 15.79 10.1514 0.102858
5 to 28 15.58 26.4099 0.932691
6 to 29 15.94 16.4315 0.506521
7 to 30 15.81 18.6115 0.648718
8 to 31 15.80 17.1573 0.556238
9 to 32 15.66 14.5569 0.372633
Chisquare degrees of freedom: 17
---------------------------------------------------------------
p-value for KStest on those 9 p-values: 0.908009
Tough bday spacings test for dh-ranFile-2018-06-15_20:31: 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 8 40 71 99 102 76 43 33 14 10 4
(O-E)^2/E 0.1 0.3 0.1 0.0 0.2 0.1 1.6 0.4 0.1 1.7 0.0
Birthday Spacings: Sum(O-E)^2/E= 4.518, p= 0.079
RESULTS OF GCD FOR dh-ranFile-2018-06-15_20:31
Euclid's algorithm:
p-value, steps to gcd: 0.214642
p-value, dist. of gcd's: 0.741103
Gorilla test for 2^26 bits, positions 0 to 31 for dh-ranFile-2018-06-15_20:31:
Note: lengthy test---for example, ~20 minutes for 850MHz PC
Bits 0 to 7---> 0.508 0.786 0.116 0.979 0.421 0.869 0.565 0.087
Bits 8 to 15---> 0.725 0.025 0.413 0.931 0.448 0.316 0.623 0.289
Bits 16 to 23---> 0.620 0.696 0.666 0.882 0.413 0.098 0.747 0.139
Bits 24 to 31---> 0.819 0.045 0.140 0.131 0.471 0.371 0.616 0.150
KS test for the above 32 p values: 0.121
The OPERM5 test for 10 million (overlapping) 5-tuples for dh-ranFile-2018-06-15_20:31,
p-values for 5 runs: 0.5127, 0.7680, 0.9179, 0.2945, 0.8870
Rank test for binary matrices (31x31) for dh-ranFile-2018-06-15_20:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=28 201 211.4 0.513 0.513
r= 29 5066 5134.0 0.901 1.414
r= 30 23111 23103.0 0.003 1.417
r= 31 11622 11551.5 0.430 1.847
chi-square = 1.847 with df = 3; p-value = 0.395
--------------------------------------------------------------
Rank test for binary matrices (32x32) for dh-ranFile-2018-06-15_20:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=29 199 211.4 0.729 0.729
r= 30 5050 5134.0 1.375 2.104
r= 31 23222 23103.0 0.612 2.717
r= 32 11529 11551.5 0.044 2.760
chi-square = 2.760 with df = 3; p-value = 0.570
--------------------------------------------------------------
Rank test for binary matrices (6x8) for dh-ranFile-2018-06-15_20:31
b-rank test for bits 1 to 8, p=0.19888
b-rank test for bits 2 to 9, p=0.49949
b-rank test for bits 3 to 10, p=0.99044
b-rank test for bits 4 to 11, p=0.22584
b-rank test for bits 5 to 12, p=0.96097
b-rank test for bits 6 to 13, p=0.92932
b-rank test for bits 7 to 14, p=0.64348
b-rank test for bits 8 to 15, p=0.48725
b-rank test for bits 9 to 16, p=0.27307
b-rank test for bits 10 to 17, p=0.85095
b-rank test for bits 11 to 18, p=0.84129
b-rank test for bits 12 to 19, p=0.24624
b-rank test for bits 13 to 20, p=0.18642
b-rank test for bits 14 to 21, p=0.70572
b-rank test for bits 15 to 22, p=0.67496
b-rank test for bits 16 to 23, p=0.70777
b-rank test for bits 17 to 24, p=0.76579
b-rank test for bits 18 to 25, p=0.23260
b-rank test for bits 19 to 26, p=0.76497
b-rank test for bits 20 to 27, p=0.63146
b-rank test for bits 21 to 28, p=0.53118
b-rank test for bits 22 to 29, p=0.94326
b-rank test for bits 23 to 30, p=0.11047
b-rank test for bits 24 to 31, p=0.30224
b-rank test for bits 25 to 32, p=0.56286
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 = 0.338267
THE OVERLAPPING 20-TUPLES BITSTREAM TEST for dh-ranFile-2018-06-15_20:31
(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 141845 -0.15 0.440263
2 142172 0.61 0.730298
3 141301 -1.42 0.077610
4 142066 0.37 0.642837
5 141540 -0.86 0.194091
6 141983 0.17 0.568331
7 141629 -0.65 0.256241
8 142252 0.80 0.788327
9 141696 -0.50 0.309089
10 141429 -1.12 0.130875
11 141728 -0.42 0.335904
12 142408 1.17 0.878014
13 141314 -1.39 0.082119
14 142836 2.17 0.984811
15 141328 -1.36 0.087193
16 141670 -0.56 0.288019
17 141609 -0.70 0.241431
18 141696 -0.50 0.309089
19 141967 0.13 0.553593
20 141736 -0.40 0.342747
----------------------------------------------------------------
OPSO test for dh-ranFile-2018-06-15_20:31
Bits used No. missing words z-score p-value
23 to 32 141424 -1.6736 0.047109
22 to 31 142330 1.4506 0.926552
21 to 30 142226 1.0920 0.862576
20 to 29 141930 0.0713 0.528411
19 to 28 141525 -1.3253 0.092540
18 to 27 141618 -1.0046 0.157548
17 to 26 141970 0.2092 0.582857
16 to 25 141764 -0.5011 0.308137
15 to 24 141970 0.2092 0.582857
14 to 23 141958 0.1678 0.566641
13 to 22 142058 0.5127 0.695904
12 to 21 141256 -2.2529 0.012134
11 to 20 141798 -0.3839 0.350528
10 to 19 141708 -0.6942 0.243765
9 to 18 142502 2.0437 0.979508
8 to 17 142259 1.2058 0.886045
7 to 16 142185 0.9506 0.829093
6 to 15 141598 -1.0736 0.141512
5 to 14 141651 -0.8908 0.186520
4 to 13 141887 -0.0770 0.469312
3 to 12 141916 0.0230 0.509175
2 to 11 141871 -0.1322 0.447424
1 to 10 141904 -0.0184 0.492668
-----------------------------------------------------------------
OQSO test for dh-ranFile-2018-06-15_20:31
Bits used No. missing words z-score p-value
28 to 32 141895 -0.0486 0.480629
27 to 31 142194 0.9650 0.832723
26 to 30 142120 0.7141 0.762428
25 to 29 142071 0.5480 0.708166
24 to 28 141871 -0.1299 0.448310
23 to 27 142181 0.9209 0.821453
22 to 26 142530 2.1040 0.982309
21 to 25 142010 0.3413 0.633544
20 to 24 141933 0.0802 0.531976
19 to 23 141877 -0.1096 0.456366
18 to 22 141813 -0.3265 0.372007
17 to 21 141934 0.0836 0.533324
16 to 20 141677 -0.7876 0.215477
15 to 19 142209 1.0158 0.845145
14 to 18 142120 0.7141 0.762428
13 to 17 142079 0.5752 0.717406
12 to 16 141714 -0.6621 0.253942
11 to 15 142404 1.6768 0.953214
10 to 14 142297 1.3141 0.905600
9 to 13 141654 -0.8655 0.193375
8 to 12 141944 0.1175 0.546778
7 to 11 141861 -0.1638 0.434932
6 to 10 142175 0.9006 0.816093
5 to 9 141726 -0.6215 0.267149
4 to 8 142011 0.3446 0.634819
3 to 7 141853 -0.1909 0.424283
2 to 6 141239 -2.2723 0.011534
1 to 5 141868 -0.1401 0.444290
-----------------------------------------------------------------
DNA test for dh-ranFile-2018-06-15_20:31
Bits used No. missing words z-score p-value
31 to 32 142084 0.5153 0.696811
30 to 31 141600 -0.9125 0.180759
29 to 30 142039 0.3825 0.648958
28 to 29 142346 1.2881 0.901147
27 to 28 141695 -0.6322 0.263614
26 to 27 141815 -0.2783 0.390407
25 to 26 141298 -1.8033 0.035668
24 to 25 141873 -0.1072 0.457328
23 to 24 142102 0.5683 0.715101
22 to 23 142143 0.6893 0.754680
21 to 22 141898 -0.0334 0.486669
20 to 21 142326 1.2291 0.890486
19 to 20 141878 -0.0924 0.463183
18 to 19 142063 0.4533 0.674835
17 to 18 142193 0.8368 0.798643
16 to 17 142301 1.1554 0.876030
15 to 16 142560 1.9194 0.972532
14 to 15 141353 -1.6411 0.050389
13 to 14 141028 -2.5998 0.004664
12 to 13 141836 -0.2163 0.414372
11 to 12 141742 -0.4936 0.310795
10 to 11 142283 1.1023 0.864828
9 to 10 142159 0.7365 0.769284
8 to 9 141989 0.2350 0.592901
7 to 8 141894 -0.0452 0.481966
6 to 7 141786 -0.3638 0.358002
5 to 6 141328 -1.7148 0.043188
4 to 5 142082 0.5094 0.694747
3 to 4 141891 -0.0541 0.478439
2 to 3 141953 0.1288 0.551250
1 to 2 141561 -1.0275 0.152087
-----------------------------------------------------------------
Test result COUNT-THE-1's in bytes for dh-ranFile-2018-06-15_20:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 2560000)
chisquare z-score p-value
2522.73 0.321 0.626062
Test results for specific bytes for dh-ranFile-2018-06-15_20:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 256000)
bits used chisquare z-score p-value
1 to 8 2534.72 0.491 0.688300
2 to 9 2501.65 0.023 0.509292
3 to 10 2407.92 -1.302 0.096432
4 to 11 2426.47 -1.040 0.149201
5 to 12 2482.82 -0.243 0.404032
6 to 13 2472.75 -0.385 0.349955
7 to 14 2539.19 0.554 0.710267
8 to 15 2468.64 -0.443 0.328711
9 to 16 2502.67 0.038 0.515071
10 to 17 2502.65 0.037 0.514938
11 to 18 2405.45 -1.337 0.090595
12 to 19 2578.46 1.110 0.866403
13 to 20 2572.89 1.031 0.848679
14 to 21 2594.52 1.337 0.909342
15 to 22 2467.81 -0.455 0.324461
16 to 23 2561.52 0.870 0.807876
17 to 24 2505.61 0.079 0.531617
18 to 25 2447.53 -0.742 0.229036
19 to 26 2524.44 0.346 0.635165
20 to 27 2466.39 -0.475 0.317301
21 to 28 2445.31 -0.773 0.219639
22 to 29 2598.23 1.389 0.917605
23 to 30 2516.95 0.240 0.594725
24 to 31 2529.54 0.418 0.661927
25 to 32 2522.36 0.316 0.624107
CDPARK for dh-ranFile-2018-06-15_20:31: 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
3560 1.6895 0.954438
3527 0.1826 0.572463
3507 -0.7306 0.232514
3502 -0.9589 0.168804
3506 -0.7763 0.218799
3510 -0.5936 0.276387
3551 1.2785 0.899470
3531 0.3653 0.642555
3562 1.7808 0.962529
Square side=100, avg. no. parked=3528.10 sample std.=21.57
p-value of the KSTEST for those 10 p-values: 0.605542
Results for the MINIMUM DISTANCE test for dh-ranFile-2018-06-15_20:31
0.6676,0.6683,0.8961,0.2510,0.3728,0.6409,0.0175,0.7031,0.0856,0.6260,
The KS test for those 10 p-values: 0.731939
The 3DSPHERES test for dh-ranFile-2018-06-15_20:31
sample no r^3 equiv. uni.
1 109.695 0.974177
2 58.996 0.860059
3 7.446 0.219786
4 32.827 0.665209
5 65.712 0.888128
6 58.824 0.859256
7 25.880 0.577965
8 19.832 0.483701
9 18.271 0.456120
10 25.360 0.570580
11 66.420 0.890736
12 39.149 0.728819
13 81.464 0.933826
14 61.803 0.872558
15 49.560 0.808334
16 30.701 0.640611
17 18.598 0.462012
18 52.732 0.827567
19 17.364 0.439431
20 35.080 0.689423
--------------------------------------------------------------
p-value for KS test on those 20 p-values: 0.004023
RESULTS OF SQUEEZE TEST FOR dh-ranFile-2018-06-15_20:31
Table of standardized frequency counts
(obs-exp)^2/exp for j=(1,..,6), 7,...,47,(48,...)
-0.1 -0.7 -0.1 0.2 1.7 1.1
1.2 0.1 -0.4 0.1 -0.1 -0.9
-0.7 0.8 -1.0 0.4 -0.1 -1.4
0.5 -0.2 -1.1 2.6 -0.6 -0.6
1.0 1.8 -0.6 -0.5 2.2 -0.4
-0.3 -0.9 0.1 -1.7 0.6 1.7
-0.5 0.2 -1.2 0.4 0.1 -1.0
-0.1
Chi-square with 42 degrees of freedom:39.884929
z-score=-0.230773, p-value=0.435796
_____________________________________________________________
Results of the OSUM test for dh-ranFile-2018-06-15_20:31
Test no p-value
1 0.147706
2 0.367419
3 0.019552
4 0.001455
5 0.109552
6 0.070815
7 0.631599
8 0.256049
9 0.049293
10 0.271404
_____________________________________________________________
p-value for 10 kstests on 100 sums: 0.000470
Test for lengths of runs up and runs down, 100,000 each for dh-ranFile-2018-06-15_20:31:
(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 66531 0.28 66595 0.08
3 25000.00 25087 0.30 25077 0.24
4 6666.67 6667 0.00 6711 0.29
5 1388.89 1434 1.47 1360 0.60
6 238.10 226 0.61 221 1.23
7 34.72 44 2.48 30 0.64
8 4.96 10 5.12 5 0.00
p=0.88588 p=0.20117
Number of rngs required: 688481, p-value: 0.536
RESULTS OF CRAPS TEST for dh-ranFile-2018-06-15_20:31
No. of wins: Observed Expected
98587 98585.9
z-score= 0.005, pvalue=0.50204
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 67132 66666.7 3.248 3.248
2 37387 37654.3 1.898 5.146
3 26659 26954.7 3.245 8.390
4 19053 19313.5 3.513 11.903
5 13817 13851.4 0.086 11.989
6 9992 9943.5 0.236 12.225
7 7253 7145.0 1.632 13.856
8 5248 5139.1 2.309 16.165
9 3663 3699.9 0.367 16.533
10 2626 2666.3 0.609 17.142
11 2026 1923.3 5.481 22.622
12 1415 1388.7 0.497 23.119
13 1035 1003.7 0.975 24.094
14 743 726.1 0.391 24.485
15 529 525.8 0.019 24.505
16 418 381.2 3.563 28.067
17 272 276.5 0.075 28.142
18 195 200.8 0.169 28.311
19 136 146.0 0.683 28.994
20 104 106.2 0.046 29.040
21 297 287.1 0.340 29.380
Chisq= 29.38 for 20 degrees of freedom, p= 0.91946
SUMMARY of craptest
p-value for no. of wins: 0.502037
p-value for throws/game: 0.919463
_____________________________________________________________
RESULTS OF CRAPS TEST2 for dh-ranFile-2018-06-15_20:31
No. of wins: Observed Expected
98861 98585.9
z-score= 1.231, pvalue=0.89076
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66661 66666.7 0.000 0.000
2 37583 37654.3 0.135 0.136
3 27050 26954.7 0.337 0.472
4 19205 19313.5 0.609 1.081
5 14000 13851.4 1.594 2.675
6 9951 9943.5 0.006 2.681
7 7204 7145.0 0.487 3.168
8 5105 5139.1 0.226 3.393
9 3750 3699.9 0.679 4.073
10 2669 2666.3 0.003 4.076
11 1889 1923.3 0.613 4.688
12 1340 1388.7 1.711 6.399
13 1000 1003.7 0.014 6.413
14 693 726.1 1.513 7.925
15 548 525.8 0.934 8.859
16 332 381.2 6.338 15.198
17 300 276.5 1.990 17.188
18 195 200.8 0.169 17.357
19 141 146.0 0.170 17.527
20 99 106.2 0.490 18.017
21 285 287.1 0.016 18.033
Chisq= 18.03 for 20 degrees of freedom, p= 0.41476
SUMMARY of craptest
p-value for no. of wins: 0.890762
p-value for throws/game: 0.414760
_____________________________________________________________
***** TEST SUMMARY *****
All p-values:
0.0005,0.0015,0.0040,0.0047,0.0115,0.0121,0.0175,0.0196,0.0251,0.0357,
0.0432,0.0447,0.0471,0.0493,0.0504,0.0708,0.0776,0.0790,0.0821,0.0856,
0.0872,0.0873,0.0906,0.0925,0.0964,0.0983,0.1029,0.1096,0.1105,0.1160,
0.1209,0.1308,0.1309,0.1312,0.1393,0.1403,0.1415,0.1477,0.1492,0.1499,
0.1521,0.1563,0.1575,0.1688,0.1808,0.1864,0.1865,0.1934,0.1941,0.1989,
0.2012,0.2146,0.2155,0.2188,0.2196,0.2198,0.2258,0.2290,0.2325,0.2326,
0.2414,0.2438,0.2462,0.2510,0.2539,0.2560,0.2562,0.2636,0.2671,0.2714,
0.2731,0.2764,0.2880,0.2885,0.2945,0.3022,0.3081,0.3091,0.3091,0.3108,
0.3164,0.3173,0.3245,0.3287,0.3359,0.3383,0.3427,0.3500,0.3505,0.3580,
0.3674,0.3711,0.3720,0.3726,0.3728,0.3904,0.3952,0.4040,0.4131,0.4131,
0.4144,0.4148,0.4207,0.4243,0.4349,0.4358,0.4394,0.4403,0.4443,0.4474,
0.4481,0.4483,0.4561,0.4564,0.4573,0.4620,0.4632,0.4693,0.4713,0.4784,
0.4806,0.4820,0.4837,0.4867,0.4873,0.4927,0.4995,0.5020,0.5065,0.5082,
0.5092,0.5093,0.5127,0.5149,0.5151,0.5284,0.5312,0.5316,0.5320,0.5333,
0.5357,0.5364,0.5468,0.5513,0.5536,0.5562,0.5629,0.5654,0.5666,0.5683,
0.5700,0.5706,0.5725,0.5780,0.5829,0.5829,0.5929,0.5947,0.6055,0.6164,
0.6204,0.6227,0.6241,0.6260,0.6261,0.6315,0.6316,0.6335,0.6348,0.6352,
0.6406,0.6409,0.6426,0.6428,0.6435,0.6487,0.6490,0.6619,0.6652,0.6663,
0.6676,0.6683,0.6748,0.6750,0.6883,0.6894,0.6947,0.6959,0.6962,0.6968,
0.7031,0.7057,0.7078,0.7082,0.7103,0.7124,0.7151,0.7174,0.7253,0.7288,
0.7303,0.7319,0.7411,0.7474,0.7547,0.7624,0.7624,0.7650,0.7658,0.7680,
0.7693,0.7865,0.7883,0.7986,0.8079,0.8083,0.8161,0.8192,0.8215,0.8276,
0.8291,0.8327,0.8413,0.8451,0.8487,0.8509,0.8593,0.8601,0.8626,0.8648,
0.8664,0.8692,0.8726,0.8760,0.8780,0.8824,0.8859,0.8860,0.8870,0.8881,
0.8905,0.8907,0.8908,0.8961,0.8995,0.9011,0.9056,0.9080,0.9093,0.9176,
0.9179,0.9195,0.9266,0.9293,0.9311,0.9327,0.9338,0.9433,0.9532,0.9544,
0.9610,0.9625,0.9725,0.9742,0.9787,0.9795,0.9823,0.9848,0.9904,
Overall p-value after applying KStest on 269 p-values = 0.746155
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.