RESULTS OF BIRTHDAY SPACINGS FOR dh-ranFile-2017-04-14_22:31
(no_bdays=1024, no_days/yr=2^24, lambda=16.00, sample size=500)
Bits used mean chisqr p-value
1 to 24 15.68 8.6962 0.050686
2 to 25 15.99 18.0982 0.617332
3 to 26 15.81 13.1704 0.275294
4 to 27 15.48 19.8884 0.720022
5 to 28 15.47 24.2236 0.886513
6 to 29 15.66 18.9825 0.670465
7 to 30 15.70 20.6859 0.759344
8 to 31 15.85 31.2216 0.981232
9 to 32 15.67 19.2441 0.685299
Chisquare degrees of freedom: 17
---------------------------------------------------------------
p-value for KStest on those 9 p-values: 0.253539
Tough bday spacings test for dh-ranFile-2017-04-14_22:31: 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 42 74 96 103 74 52 27 14 7 3
(O-E)^2/E 0.1 0.8 0.0 0.0 0.3 0.2 0.0 0.3 0.1 0.0 0.3
Birthday Spacings: Sum(O-E)^2/E= 2.092, p= 0.004
RESULTS OF GCD FOR dh-ranFile-2017-04-14_22:31
Euclid's algorithm:
p-value, steps to gcd: 0.378330
p-value, dist. of gcd's: 0.134086
Gorilla test for 2^26 bits, positions 0 to 31 for dh-ranFile-2017-04-14_22:31:
Note: lengthy test---for example, ~20 minutes for 850MHz PC
Bits 0 to 7---> 0.850 0.497 0.487 0.158 0.803 0.108 0.190 0.166
Bits 8 to 15---> 0.372 0.494 0.708 0.792 0.958 0.045 0.149 0.399
Bits 16 to 23---> 0.653 0.589 0.404 0.630 0.595 0.369 0.117 0.317
Bits 24 to 31---> 0.613 0.957 0.130 0.179 0.820 0.622 0.466 0.111
KS test for the above 32 p values: 0.426
The OPERM5 test for 10 million (overlapping) 5-tuples for dh-ranFile-2017-04-14_22:31,
p-values for 5 runs: 0.5228, 0.4391, 0.5963, 0.9499, 0.2048
Rank test for binary matrices (31x31) for dh-ranFile-2017-04-14_22:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=28 230 211.4 1.633 1.633
r= 29 5141 5134.0 0.010 1.643
r= 30 22987 23103.0 0.583 2.226
r= 31 11642 11551.5 0.709 2.934
chi-square = 2.934 with df = 3; p-value = 0.598
--------------------------------------------------------------
Rank test for binary matrices (32x32) for dh-ranFile-2017-04-14_22:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=29 201 211.4 0.513 0.513
r= 30 5177 5134.0 0.360 0.873
r= 31 23084 23103.0 0.016 0.889
r= 32 11538 11551.5 0.016 0.905
chi-square = 0.905 with df = 3; p-value = 0.176
--------------------------------------------------------------
Rank test for binary matrices (6x8) for dh-ranFile-2017-04-14_22:31
b-rank test for bits 1 to 8, p=0.74148
b-rank test for bits 2 to 9, p=0.71118
b-rank test for bits 3 to 10, p=0.41115
b-rank test for bits 4 to 11, p=0.90302
b-rank test for bits 5 to 12, p=0.97235
b-rank test for bits 6 to 13, p=0.73038
b-rank test for bits 7 to 14, p=0.91758
b-rank test for bits 8 to 15, p=0.19397
b-rank test for bits 9 to 16, p=0.18255
b-rank test for bits 10 to 17, p=0.54767
b-rank test for bits 11 to 18, p=0.09122
b-rank test for bits 12 to 19, p=0.18099
b-rank test for bits 13 to 20, p=0.88460
b-rank test for bits 14 to 21, p=0.85335
b-rank test for bits 15 to 22, p=0.12035
b-rank test for bits 16 to 23, p=0.58516
b-rank test for bits 17 to 24, p=0.05541
b-rank test for bits 18 to 25, p=0.28288
b-rank test for bits 19 to 26, p=0.40741
b-rank test for bits 20 to 27, p=0.84717
b-rank test for bits 21 to 28, p=0.26385
b-rank test for bits 22 to 29, p=0.59889
b-rank test for bits 23 to 30, p=0.85669
b-rank test for bits 24 to 31, p=0.41261
b-rank test for bits 25 to 32, p=0.09615
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 = 0.863940
THE OVERLAPPING 20-TUPLES BITSTREAM TEST for dh-ranFile-2017-04-14_22:31
(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 140922 -2.31 0.010532
2 141999 0.21 0.582975
3 141952 0.10 0.539707
4 141671 -0.56 0.288816
5 142334 0.99 0.839455
6 142221 0.73 0.766755
7 141884 -0.06 0.476404
8 141309 -1.40 0.080362
9 142611 1.64 0.949437
10 141856 -0.12 0.450419
11 142359 1.05 0.853286
12 141968 0.14 0.554516
13 142310 0.94 0.825401
14 142148 0.56 0.711455
15 141752 -0.37 0.356588
16 141873 -0.08 0.466177
17 141608 -0.70 0.240703
18 142167 0.60 0.726424
19 141723 -0.44 0.331654
20 140999 -2.13 0.016713
----------------------------------------------------------------
OPSO test for dh-ranFile-2017-04-14_22:31
Bits used No. missing words z-score p-value
23 to 32 142104 0.6713 0.748978
22 to 31 141880 -0.1011 0.459721
21 to 30 142132 0.7678 0.778705
20 to 29 142038 0.4437 0.671367
19 to 28 142116 0.7127 0.761970
18 to 27 141795 -0.3942 0.346701
17 to 26 141706 -0.7011 0.241609
16 to 25 142029 0.4127 0.660070
15 to 24 142082 0.5954 0.724217
14 to 23 141784 -0.4322 0.332808
13 to 22 141809 -0.3460 0.364684
12 to 21 141857 -0.1804 0.428400
11 to 20 141753 -0.5391 0.294920
10 to 19 142710 2.7609 0.997118
9 to 18 141420 -1.6873 0.045769
8 to 17 141950 0.1402 0.555765
7 to 16 141483 -1.4701 0.070767
6 to 15 142072 0.5609 0.712578
5 to 14 141891 -0.0632 0.474801
4 to 13 141891 -0.0632 0.474801
3 to 12 141575 -1.1529 0.124484
2 to 11 141824 -0.2942 0.384287
1 to 10 141821 -0.3046 0.380341
-----------------------------------------------------------------
OQSO test for dh-ranFile-2017-04-14_22:31
Bits used No. missing words z-score p-value
28 to 32 141991 0.2768 0.609051
27 to 31 141537 -1.2621 0.103450
26 to 30 141603 -1.0384 0.149540
25 to 29 142012 0.3480 0.636093
24 to 28 142130 0.7480 0.772780
23 to 27 142237 1.1107 0.866661
22 to 26 142252 1.1616 0.877300
21 to 25 141415 -1.6757 0.046899
20 to 24 141416 -1.6723 0.047232
19 to 23 141871 -0.1299 0.448310
18 to 22 142155 0.8328 0.797516
17 to 21 141580 -1.1164 0.132131
16 to 20 141598 -1.0554 0.145631
15 to 19 142103 0.6565 0.744252
14 to 18 141916 0.0226 0.509019
13 to 17 142272 1.2294 0.890537
12 to 16 142453 1.8429 0.967332
11 to 15 142064 0.5243 0.699967
10 to 14 141586 -1.0960 0.136532
9 to 13 141544 -1.2384 0.107783
8 to 12 142089 0.6091 0.728755
7 to 11 141517 -1.3299 0.091770
6 to 10 141659 -0.8486 0.198059
5 to 9 142495 1.9853 0.976446
4 to 8 141818 -0.3096 0.378435
3 to 7 141512 -1.3469 0.089009
2 to 6 141613 -1.0045 0.157567
1 to 5 142089 0.6091 0.728755
-----------------------------------------------------------------
DNA test for dh-ranFile-2017-04-14_22:31
Bits used No. missing words z-score p-value
31 to 32 141368 -1.5968 0.055150
30 to 31 142057 0.4356 0.668438
29 to 30 142186 0.8161 0.792789
28 to 29 141572 -0.9951 0.159850
27 to 28 142014 0.3088 0.621248
26 to 27 142121 0.6244 0.733816
25 to 26 142662 2.2203 0.986800
24 to 25 140808 -3.2488 0.000580
23 to 24 141690 -0.6470 0.258819
22 to 23 142216 0.9046 0.817170
21 to 22 141839 -0.2075 0.417824
20 to 21 141737 -0.5083 0.305605
19 to 20 141584 -0.9597 0.168609
18 to 19 142440 1.5654 0.941255
17 to 18 141498 -1.2134 0.112496
16 to 17 141826 -0.2458 0.402914
15 to 16 141628 -0.8299 0.203303
14 to 15 141285 -1.8417 0.032761
13 to 14 141664 -0.7237 0.234629
12 to 13 141737 -0.5083 0.305605
11 to 12 141663 -0.7266 0.233724
10 to 11 141892 -0.0511 0.479615
9 to 10 142619 2.0934 0.981844
8 to 9 141950 0.1200 0.547747
7 to 8 141884 -0.0747 0.470219
6 to 7 142443 1.5742 0.942285
5 to 6 141808 -0.2989 0.382505
4 to 5 141716 -0.5703 0.284239
3 to 4 141836 -0.2163 0.414372
2 to 3 141718 -0.5644 0.286243
1 to 2 142278 1.0875 0.861597
-----------------------------------------------------------------
Test result COUNT-THE-1's in bytes for dh-ranFile-2017-04-14_22:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 2560000)
chisquare z-score p-value
2423.16 -1.087 0.138592
Test results for specific bytes for dh-ranFile-2017-04-14_22:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 256000)
bits used chisquare z-score p-value
1 to 8 2459.73 -0.570 0.284494
2 to 9 2444.10 -0.791 0.214609
3 to 10 2497.94 -0.029 0.488369
4 to 11 2594.49 1.336 0.909284
5 to 12 2445.13 -0.776 0.218883
6 to 13 2535.22 0.498 0.690793
7 to 14 2520.60 0.291 0.614584
8 to 15 2559.55 0.842 0.800150
9 to 16 2463.54 -0.516 0.303052
10 to 17 2411.83 -1.247 0.106225
11 to 18 2392.77 -1.516 0.064706
12 to 19 2483.47 -0.234 0.407594
13 to 20 2588.84 1.256 0.895508
14 to 21 2596.67 1.367 0.914202
15 to 22 2477.78 -0.314 0.376692
16 to 23 2526.43 0.374 0.645697
17 to 24 2538.72 0.548 0.707998
18 to 25 2453.81 -0.653 0.256792
19 to 26 2417.81 -1.162 0.122551
20 to 27 2547.62 0.674 0.749690
21 to 28 2439.67 -0.853 0.196770
22 to 29 2468.00 -0.452 0.325456
23 to 30 2405.05 -1.343 0.089680
24 to 31 2506.07 0.086 0.534200
25 to 32 2393.97 -1.500 0.066867
CDPARK for dh-ranFile-2017-04-14_22:31: 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
3497 -1.1872 0.117571
3526 0.1370 0.554479
3514 -0.4110 0.340551
3489 -1.5525 0.060270
3516 -0.3196 0.374623
3498 -1.1416 0.126820
3515 -0.3653 0.357445
3539 0.7306 0.767486
3534 0.5023 0.692266
3503 -0.9132 0.180558
Square side=100, avg. no. parked=3513.10 sample std.=15.67
p-value of the KSTEST for those 10 p-values: 0.195263
Results for the MINIMUM DISTANCE test for dh-ranFile-2017-04-14_22:31
0.9292,0.2177,0.0361,0.4262,0.9977,0.6202,0.3663,0.3152,0.5030,0.2793,
The KS test for those 10 p-values: 0.588052
The 3DSPHERES test for dh-ranFile-2017-04-14_22:31
sample no r^3 equiv. uni.
1 17.695 0.445586
2 67.816 0.895704
3 2.778 0.088434
4 44.798 0.775362
5 51.344 0.819396
6 2.520 0.080555
7 17.326 0.438718
8 7.764 0.228032
9 4.775 0.147147
10 1.280 0.041780
11 17.010 0.432782
12 0.710 0.023383
13 18.564 0.461416
14 47.080 0.791818
15 32.093 0.656908
16 57.420 0.852513
17 40.195 0.738112
18 65.825 0.888550
19 79.601 0.929586
20 110.293 0.974687
--------------------------------------------------------------
p-value for KS test on those 20 p-values: 0.473931
RESULTS OF SQUEEZE TEST FOR dh-ranFile-2017-04-14_22:31
Table of standardized frequency counts
(obs-exp)^2/exp for j=(1,..,6), 7,...,47,(48,...)
-0.1 -1.2 -1.3 0.0 -0.1 0.9
-0.6 0.3 -0.4 -0.8 1.1 1.7
1.5 2.3 -1.9 0.1 -2.6 0.5
0.3 -0.5 -2.0 -0.9 0.8 -0.3
1.0 2.6 -2.4 1.9 -0.5 2.0
-1.0 -0.8 -0.1 -0.4 -0.5 -0.3
-0.7 0.5 0.9 -0.7 -0.6 0.0
-0.1
Chi-square with 42 degrees of freedom:58.872293
z-score=1.840918, p-value=0.956406
_____________________________________________________________
Results of the OSUM test for dh-ranFile-2017-04-14_22:31
Test no p-value
1 0.008331
2 0.516884
3 0.194821
4 0.823129
5 0.042998
6 0.001612
7 0.055841
8 0.319074
9 0.314581
10 0.293286
_____________________________________________________________
p-value for 10 kstests on 100 sums: 0.003747
Test for lengths of runs up and runs down, 100,000 each for dh-ranFile-2017-04-14_22:31:
(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 66686 0.01 66698 0.01
3 25000.00 24966 0.05 24988 0.01
4 6666.67 6650 0.04 6614 0.42
5 1388.89 1411 0.35 1430 1.22
6 238.10 250 0.60 232 0.16
7 34.72 32 0.21 33 0.09
8 4.96 4 0.19 4 0.19
p=0.03660 p=0.08785
Number of rngs required: 687394, p-value: 0.121
RESULTS OF CRAPS TEST for dh-ranFile-2017-04-14_22:31
No. of wins: Observed Expected
98616 98585.9
z-score= 0.135, pvalue=0.55362
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66567 66666.7 0.149 0.149
2 37937 37654.3 2.122 2.271
3 26877 26954.7 0.224 2.495
4 19425 19313.5 0.644 3.139
5 13913 13851.4 0.274 3.413
6 9861 9943.5 0.685 4.098
7 7025 7145.0 2.016 6.115
8 5080 5139.1 0.679 6.794
9 3680 3699.9 0.107 6.900
10 2648 2666.3 0.126 7.026
11 1969 1923.3 1.084 8.110
12 1426 1388.7 1.000 9.110
13 1012 1003.7 0.068 9.178
14 688 726.1 2.003 11.182
15 541 525.8 0.437 11.619
16 345 381.2 3.429 15.048
17 267 276.5 0.329 15.377
18 219 200.8 1.644 17.021
19 140 146.0 0.245 17.266
20 102 106.2 0.167 17.433
21 278 287.1 0.289 17.723
Chisq= 17.72 for 20 degrees of freedom, p= 0.39433
SUMMARY of craptest
p-value for no. of wins: 0.553619
p-value for throws/game: 0.394335
_____________________________________________________________
RESULTS OF CRAPS TEST2 for dh-ranFile-2017-04-14_22:31
No. of wins: Observed Expected
98762 98585.9
z-score= 0.788, pvalue=0.78460
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 67010 66666.7 1.768 1.768
2 37454 37654.3 1.066 2.834
3 26752 26954.7 1.525 4.359
4 19572 19313.5 3.461 7.820
5 13657 13851.4 2.729 10.548
6 9941 9943.5 0.001 10.549
7 7201 7145.0 0.439 10.988
8 5113 5139.1 0.132 11.120
9 3709 3699.9 0.023 11.142
10 2747 2666.3 2.443 13.585
11 1892 1923.3 0.510 14.095
12 1352 1388.7 0.972 15.067
13 965 1003.7 1.493 16.561
14 731 726.1 0.033 16.593
15 514 525.8 0.266 16.860
16 393 381.2 0.368 17.228
17 265 276.5 0.482 17.710
18 192 200.8 0.388 18.098
19 134 146.0 0.984 19.082
20 122 106.2 2.346 21.427
21 284 287.1 0.034 21.461
Chisq= 21.46 for 20 degrees of freedom, p= 0.62955
SUMMARY of craptest
p-value for no. of wins: 0.784595
p-value for throws/game: 0.629553
_____________________________________________________________
***** TEST SUMMARY *****
All p-values:
0.0006,0.0016,0.0037,0.0044,0.0083,0.0105,0.0167,0.0234,0.0328,0.0361,
0.0366,0.0418,0.0430,0.0453,0.0458,0.0469,0.0472,0.0507,0.0552,0.0554,
0.0558,0.0603,0.0647,0.0669,0.0708,0.0804,0.0806,0.0878,0.0884,0.0890,
0.0897,0.0912,0.0918,0.0962,0.1035,0.1062,0.1078,0.1078,0.1111,0.1125,
0.1174,0.1176,0.1203,0.1206,0.1226,0.1245,0.1268,0.1298,0.1321,0.1341,
0.1365,0.1386,0.1456,0.1471,0.1490,0.1495,0.1576,0.1584,0.1599,0.1657,
0.1686,0.1757,0.1795,0.1806,0.1810,0.1826,0.1895,0.1940,0.1948,0.1953,
0.1968,0.1981,0.2033,0.2048,0.2146,0.2177,0.2189,0.2280,0.2337,0.2346,
0.2407,0.2416,0.2535,0.2568,0.2588,0.2638,0.2753,0.2793,0.2829,0.2842,
0.2845,0.2862,0.2888,0.2933,0.2949,0.3031,0.3056,0.3056,0.3146,0.3152,
0.3172,0.3191,0.3255,0.3317,0.3328,0.3406,0.3467,0.3566,0.3574,0.3647,
0.3663,0.3694,0.3717,0.3746,0.3767,0.3783,0.3784,0.3803,0.3825,0.3843,
0.3943,0.3991,0.4029,0.4036,0.4074,0.4076,0.4112,0.4126,0.4144,0.4178,
0.4262,0.4262,0.4284,0.4328,0.4387,0.4391,0.4456,0.4483,0.4504,0.4597,
0.4614,0.4662,0.4664,0.4702,0.4739,0.4748,0.4748,0.4764,0.4796,0.4869,
0.4884,0.4938,0.4966,0.5030,0.5090,0.5169,0.5228,0.5342,0.5397,0.5477,
0.5477,0.5536,0.5545,0.5545,0.5558,0.5830,0.5852,0.5881,0.5887,0.5946,
0.5963,0.5981,0.5989,0.6091,0.6126,0.6146,0.6173,0.6202,0.6212,0.6224,
0.6296,0.6296,0.6361,0.6457,0.6528,0.6569,0.6601,0.6684,0.6705,0.6714,
0.6853,0.6908,0.6923,0.7000,0.7076,0.7080,0.7112,0.7115,0.7126,0.7200,
0.7242,0.7264,0.7288,0.7288,0.7304,0.7338,0.7381,0.7415,0.7443,0.7490,
0.7497,0.7593,0.7620,0.7668,0.7675,0.7728,0.7754,0.7787,0.7846,0.7917,
0.7918,0.7928,0.7975,0.8001,0.8034,0.8172,0.8194,0.8203,0.8231,0.8254,
0.8395,0.8472,0.8497,0.8525,0.8533,0.8533,0.8567,0.8616,0.8639,0.8667,
0.8773,0.8846,0.8865,0.8886,0.8905,0.8955,0.8957,0.9030,0.9093,0.9142,
0.9176,0.9292,0.9296,0.9413,0.9423,0.9494,0.9499,0.9564,0.9565,0.9581,
0.9673,0.9723,0.9747,0.9764,0.9812,0.9818,0.9868,0.9971,0.9977,
Overall p-value after applying KStest on 269 p-values = 0.046485
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.