RESULTS OF BIRTHDAY SPACINGS FOR dh-ranFile-2018-07-07_05:31
(no_bdays=1024, no_days/yr=2^24, lambda=16.00, sample size=500)
Bits used mean chisqr p-value
1 to 24 15.41 24.7033 0.898449
2 to 25 15.73 31.7383 0.983785
3 to 26 16.00 17.9485 0.607900
4 to 27 15.71 15.9276 0.471025
5 to 28 15.46 32.2204 0.985874
6 to 29 15.61 15.9860 0.475172
7 to 30 15.51 27.2466 0.945451
8 to 31 15.56 19.0316 0.673279
9 to 32 15.60 24.4714 0.892819
Chisquare degrees of freedom: 17
---------------------------------------------------------------
p-value for KStest on those 9 p-values: 0.003712
Tough bday spacings test for dh-ranFile-2018-07-07_05:31: 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 10 46 75 98 85 73 65 24 14 8 2
(O-E)^2/E 0.1 2.4 0.0 0.0 1.6 0.3 3.2 1.1 0.1 0.3 1.0
Birthday Spacings: Sum(O-E)^2/E= 10.207, p= 0.578
RESULTS OF GCD FOR dh-ranFile-2018-07-07_05:31
Euclid's algorithm:
p-value, steps to gcd: 0.482114
p-value, dist. of gcd's: 0.847662
Gorilla test for 2^26 bits, positions 0 to 31 for dh-ranFile-2018-07-07_05:31:
Note: lengthy test---for example, ~20 minutes for 850MHz PC
Bits 0 to 7---> 0.762 0.891 0.440 0.672 0.756 0.204 0.145 0.589
Bits 8 to 15---> 0.065 0.013 0.690 0.314 0.908 0.104 0.781 0.342
Bits 16 to 23---> 0.517 0.476 0.543 0.432 0.910 0.406 0.981 0.169
Bits 24 to 31---> 0.972 0.152 0.050 0.654 0.257 0.015 0.202 0.151
KS test for the above 32 p values: 0.417
The OPERM5 test for 10 million (overlapping) 5-tuples for dh-ranFile-2018-07-07_05:31,
p-values for 5 runs: 0.3491, 0.6250, 0.5230, 0.0642, 0.6767
Rank test for binary matrices (31x31) for dh-ranFile-2018-07-07_05:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=28 201 211.4 0.513 0.513
r= 29 5078 5134.0 0.611 1.124
r= 30 23294 23103.0 1.578 2.703
r= 31 11427 11551.5 1.342 4.045
chi-square = 4.045 with df = 3; p-value = 0.743
--------------------------------------------------------------
Rank test for binary matrices (32x32) for dh-ranFile-2018-07-07_05:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=29 187 211.4 2.820 2.820
r= 30 5172 5134.0 0.281 3.101
r= 31 22961 23103.0 0.873 3.975
r= 32 11680 11551.5 1.429 5.404
chi-square = 5.404 with df = 3; p-value = 0.855
--------------------------------------------------------------
Rank test for binary matrices (6x8) for dh-ranFile-2018-07-07_05:31
b-rank test for bits 1 to 8, p=0.37037
b-rank test for bits 2 to 9, p=0.57933
b-rank test for bits 3 to 10, p=0.13931
b-rank test for bits 4 to 11, p=0.48255
b-rank test for bits 5 to 12, p=0.32640
b-rank test for bits 6 to 13, p=0.86748
b-rank test for bits 7 to 14, p=0.10704
b-rank test for bits 8 to 15, p=0.70698
b-rank test for bits 9 to 16, p=0.77679
b-rank test for bits 10 to 17, p=0.83689
b-rank test for bits 11 to 18, p=0.88728
b-rank test for bits 12 to 19, p=0.71442
b-rank test for bits 13 to 20, p=0.02575
b-rank test for bits 14 to 21, p=0.14727
b-rank test for bits 15 to 22, p=0.86105
b-rank test for bits 16 to 23, p=0.91783
b-rank test for bits 17 to 24, p=0.90004
b-rank test for bits 18 to 25, p=0.46539
b-rank test for bits 19 to 26, p=0.78027
b-rank test for bits 20 to 27, p=0.91547
b-rank test for bits 21 to 28, p=0.49849
b-rank test for bits 22 to 29, p=0.40788
b-rank test for bits 23 to 30, p=0.62824
b-rank test for bits 24 to 31, p=0.85050
b-rank test for bits 25 to 32, p=0.07972
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 = 0.257061
THE OVERLAPPING 20-TUPLES BITSTREAM TEST for dh-ranFile-2018-07-07_05:31
(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 142670 1.78 0.962238
2 141502 -0.95 0.170623
3 141751 -0.37 0.355717
4 142503 1.39 0.917291
5 142109 0.47 0.679578
6 141816 -0.22 0.413691
7 141378 -1.24 0.107224
8 141979 0.16 0.564654
9 142498 1.38 0.915496
10 141672 -0.55 0.289615
11 141947 0.09 0.535067
12 142628 1.68 0.953437
13 141534 -0.88 0.190260
14 142190 0.66 0.744014
15 142516 1.42 0.921825
16 142477 1.33 0.907635
17 141925 0.04 0.514603
18 142471 1.31 0.905293
19 141340 -1.33 0.091725
20 142516 1.42 0.921825
----------------------------------------------------------------
OPSO test for dh-ranFile-2018-07-07_05:31
Bits used No. missing words z-score p-value
23 to 32 141691 -0.7529 0.225766
22 to 31 141826 -0.2873 0.386924
21 to 30 141843 -0.2287 0.409542
20 to 29 141630 -0.9632 0.167722
19 to 28 142130 0.7609 0.776651
18 to 27 141840 -0.2391 0.405526
17 to 26 142220 1.0713 0.857977
16 to 25 141903 -0.0218 0.491293
15 to 24 141792 -0.4046 0.342891
14 to 23 141533 -1.2977 0.097197
13 to 22 142504 2.0506 0.979846
12 to 21 141651 -0.8908 0.186520
11 to 20 142010 0.3471 0.635756
10 to 19 142080 0.5885 0.721907
9 to 18 142268 1.2368 0.891918
8 to 17 142028 0.4092 0.658806
7 to 16 141690 -0.7563 0.224732
6 to 15 141933 0.0816 0.532526
5 to 14 142064 0.5333 0.703103
4 to 13 141700 -0.7218 0.235200
3 to 12 141651 -0.8908 0.186520
2 to 11 141970 0.2092 0.582857
1 to 10 141816 -0.3218 0.373792
-----------------------------------------------------------------
OQSO test for dh-ranFile-2018-07-07_05:31
Bits used No. missing words z-score p-value
28 to 32 142044 0.4565 0.675988
27 to 31 142390 1.6294 0.948385
26 to 30 141406 -1.7062 0.043985
25 to 29 141540 -1.2520 0.105291
24 to 28 141931 0.0735 0.529279
23 to 27 142128 0.7413 0.770730
22 to 26 141531 -1.2825 0.099838
21 to 25 141573 -1.1401 0.127122
20 to 24 141522 -1.3130 0.094594
19 to 23 141315 -2.0147 0.021969
18 to 22 142041 0.4463 0.672324
17 to 21 142441 1.8023 0.964249
16 to 20 141789 -0.4079 0.341674
15 to 19 141882 -0.0926 0.463093
14 to 18 142139 0.7785 0.781875
13 to 17 141731 -0.6045 0.272753
12 to 16 141689 -0.7469 0.227568
11 to 15 141773 -0.4621 0.321992
10 to 14 142145 0.7989 0.787820
9 to 13 141947 0.1277 0.550805
8 to 12 142073 0.5548 0.710489
7 to 11 142255 1.1718 0.879354
6 to 10 142062 0.5175 0.697605
5 to 9 142061 0.5141 0.696421
4 to 8 141293 -2.0893 0.018342
3 to 7 142192 0.9582 0.831020
2 to 6 142030 0.4091 0.658749
1 to 5 142176 0.9040 0.816993
-----------------------------------------------------------------
DNA test for dh-ranFile-2018-07-07_05:31
Bits used No. missing words z-score p-value
31 to 32 142096 0.5506 0.709063
30 to 31 142456 1.6126 0.946584
29 to 30 141379 -1.5644 0.058862
28 to 29 141889 -0.0600 0.476090
27 to 28 141918 0.0256 0.510202
26 to 27 141622 -0.8476 0.198336
25 to 26 141575 -0.9862 0.162012
24 to 25 141803 -0.3137 0.376891
23 to 24 141674 -0.6942 0.243782
22 to 23 141669 -0.7089 0.239182
21 to 22 142190 0.8279 0.796146
20 to 21 141851 -0.1721 0.431693
19 to 20 142140 0.6804 0.751888
18 to 19 142023 0.3353 0.631304
17 to 18 141689 -0.6499 0.257865
16 to 17 141870 -0.1160 0.453819
15 to 16 142218 0.9105 0.818729
14 to 15 141369 -1.5939 0.055480
13 to 14 142273 1.0728 0.858314
12 to 13 141902 -0.0216 0.491375
11 to 12 141404 -1.4906 0.068027
10 to 11 142056 0.4327 0.667367
9 to 10 142265 1.0492 0.852951
8 to 9 142063 0.4533 0.674835
7 to 8 141831 -0.2311 0.408633
6 to 7 142023 0.3353 0.631304
5 to 6 141207 -2.0718 0.019143
4 to 5 141620 -0.8535 0.196696
3 to 4 141251 -1.9420 0.026070
2 to 3 142253 1.0138 0.844655
1 to 2 141970 0.1790 0.571018
-----------------------------------------------------------------
Test result COUNT-THE-1's in bytes for dh-ranFile-2018-07-07_05:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 2560000)
chisquare z-score p-value
2434.10 -0.932 0.175687
Test results for specific bytes for dh-ranFile-2018-07-07_05:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 256000)
bits used chisquare z-score p-value
1 to 8 2440.60 -0.840 0.200460
2 to 9 2348.11 -2.148 0.015854
3 to 10 2492.79 -0.102 0.459370
4 to 11 2486.20 -0.195 0.422637
5 to 12 2426.34 -1.042 0.148762
6 to 13 2483.60 -0.232 0.408292
7 to 14 2503.82 0.054 0.521542
8 to 15 2423.06 -1.088 0.138278
9 to 16 2438.53 -0.869 0.192349
10 to 17 2376.81 -1.742 0.040737
11 to 18 2399.34 -1.424 0.077296
12 to 19 2534.60 0.489 0.687671
13 to 20 2398.90 -1.430 0.076395
14 to 21 2555.01 0.778 0.781702
15 to 22 2489.02 -0.155 0.438308
16 to 23 2551.56 0.729 0.767054
17 to 24 2512.79 0.181 0.571767
18 to 25 2428.56 -1.010 0.156166
19 to 26 2430.92 -0.977 0.164295
20 to 27 2484.11 -0.225 0.411093
21 to 28 2528.68 0.406 0.657470
22 to 29 2495.75 -0.060 0.476026
23 to 30 2474.00 -0.368 0.356559
24 to 31 2542.06 0.595 0.724006
25 to 32 2539.77 0.562 0.713078
CDPARK for dh-ranFile-2018-07-07_05:31: 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
3529 0.2740 0.607947
3535 0.5479 0.708135
3483 -1.8265 0.033889
3533 0.4566 0.676028
3505 -0.8219 0.205562
3533 0.4566 0.676028
3533 0.4566 0.676028
3528 0.2283 0.590298
3518 -0.2283 0.409702
3542 0.8676 0.807188
Square side=100, avg. no. parked=3523.90 sample std.=16.75
p-value of the KSTEST for those 10 p-values: 0.393106
Results for the MINIMUM DISTANCE test for dh-ranFile-2018-07-07_05:31
0.6467,0.5374,0.0968,0.3948,0.3219,0.6774,0.7985,0.7006,0.6061,0.7670,
The KS test for those 10 p-values: 0.423950
The 3DSPHERES test for dh-ranFile-2018-07-07_05:31
sample no r^3 equiv. uni.
1 10.039 0.284400
2 8.155 0.238010
3 1.173 0.038346
4 39.628 0.733116
5 23.644 0.545310
6 1.330 0.043371
7 34.066 0.678750
8 3.948 0.123300
9 61.976 0.873292
10 50.956 0.817048
11 28.398 0.611943
12 1.248 0.040731
13 3.619 0.113630
14 55.666 0.843628
15 2.182 0.070152
16 8.210 0.239422
17 87.007 0.944989
18 4.347 0.134897
19 13.857 0.369912
20 29.833 0.630064
--------------------------------------------------------------
p-value for KS test on those 20 p-values: 0.197427
RESULTS OF SQUEEZE TEST FOR dh-ranFile-2018-07-07_05:31
Table of standardized frequency counts
(obs-exp)^2/exp for j=(1,..,6), 7,...,47,(48,...)
-0.1 -0.7 1.1 0.8 0.2 0.8
-0.8 -1.7 0.2 0.2 0.8 -1.6
0.4 0.8 -0.0 -0.7 -0.1 -1.3
0.7 -0.5 -1.0 1.3 0.5 -0.8
0.9 1.5 1.6 0.1 -0.8 -0.5
-1.0 1.8 -0.5 -0.5 0.5 -1.4
1.7 -0.1 1.3 2.6 -0.6 -1.0
-1.1
Chi-square with 42 degrees of freedom:44.382534
z-score=0.259956, p-value=0.628424
_____________________________________________________________
Results of the OSUM test for dh-ranFile-2018-07-07_05:31
Test no p-value
1 0.623669
2 0.016982
3 0.049792
4 0.164861
5 0.973921
6 0.522334
7 0.834536
8 0.050400
9 0.000145
10 0.850101
_____________________________________________________________
p-value for 10 kstests on 100 sums: 0.034603
Test for lengths of runs up and runs down, 100,000 each for dh-ranFile-2018-07-07_05:31:
(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 66723 0.05 66683 0.00
3 25000.00 24958 0.07 24999 0.00
4 6666.67 6710 0.28 6640 0.11
5 1388.89 1337 1.94 1419 0.65
6 238.10 229 0.35 218 1.70
7 34.72 32 0.21 36 0.05
8 4.96 10 5.12 4 0.19
p=0.76338 p=0.15367
Number of rngs required: 689052, p-value: 0.773
RESULTS OF CRAPS TEST for dh-ranFile-2018-07-07_05:31
No. of wins: Observed Expected
98559 98585.9
z-score=-0.120, pvalue=0.45219
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66252 66666.7 2.579 2.579
2 37465 37654.3 0.952 3.531
3 27272 26954.7 3.734 7.265
4 19272 19313.5 0.089 7.354
5 13837 13851.4 0.015 7.369
6 9999 9943.5 0.309 7.679
7 7239 7145.0 1.236 8.915
8 5134 5139.1 0.005 8.920
9 3719 3699.9 0.099 9.019
10 2686 2666.3 0.146 9.164
11 1962 1923.3 0.778 9.942
12 1430 1388.7 1.226 11.168
13 1030 1003.7 0.688 11.856
14 696 726.1 1.251 13.107
15 572 525.8 4.053 17.160
16 377 381.2 0.045 17.205
17 268 276.5 0.264 17.469
18 238 200.8 6.880 24.348
19 125 146.0 3.016 27.365
20 109 106.2 0.073 27.438
21 318 287.1 3.323 30.760
Chisq= 30.76 for 20 degrees of freedom, p= 0.94156
SUMMARY of craptest
p-value for no. of wins: 0.452191
p-value for throws/game: 0.941565
_____________________________________________________________
RESULTS OF CRAPS TEST2 for dh-ranFile-2018-07-07_05:31
No. of wins: Observed Expected
98430 98585.9
z-score=-0.697, pvalue=0.24287
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66861 66666.7 0.566 0.566
2 37811 37654.3 0.652 1.218
3 26740 26954.7 1.711 2.929
4 19241 19313.5 0.272 3.201
5 13684 13851.4 2.024 5.225
6 10036 9943.5 0.860 6.084
7 7181 7145.0 0.181 6.265
8 5157 5139.1 0.063 6.328
9 3665 3699.9 0.329 6.656
10 2748 2666.3 2.504 9.160
11 1871 1923.3 1.424 10.584
12 1407 1388.7 0.240 10.824
13 973 1003.7 0.940 11.764
14 706 726.1 0.559 12.322
15 537 525.8 0.237 12.559
16 400 381.2 0.932 13.492
17 283 276.5 0.151 13.643
18 179 200.8 2.373 16.015
19 151 146.0 0.172 16.188
20 97 106.2 0.800 16.987
21 272 287.1 0.796 17.783
Chisq= 17.78 for 20 degrees of freedom, p= 0.39829
SUMMARY of craptest
p-value for no. of wins: 0.242873
p-value for throws/game: 0.398290
_____________________________________________________________
***** TEST SUMMARY *****
All p-values:
0.0001,0.0037,0.0132,0.0152,0.0159,0.0170,0.0183,0.0191,0.0220,0.0258,
0.0261,0.0339,0.0346,0.0383,0.0407,0.0407,0.0434,0.0440,0.0498,0.0500,
0.0504,0.0555,0.0589,0.0642,0.0646,0.0680,0.0702,0.0764,0.0773,0.0797,
0.0917,0.0946,0.0968,0.0972,0.0998,0.1038,0.1053,0.1070,0.1072,0.1136,
0.1233,0.1271,0.1349,0.1383,0.1393,0.1448,0.1473,0.1488,0.1507,0.1519,
0.1537,0.1562,0.1620,0.1643,0.1649,0.1677,0.1687,0.1706,0.1757,0.1865,
0.1865,0.1903,0.1923,0.1967,0.1974,0.1983,0.2005,0.2019,0.2036,0.2056,
0.2247,0.2258,0.2276,0.2352,0.2380,0.2392,0.2394,0.2429,0.2438,0.2571,
0.2573,0.2579,0.2728,0.2844,0.2896,0.3135,0.3219,0.3220,0.3264,0.3416,
0.3417,0.3429,0.3491,0.3557,0.3566,0.3699,0.3704,0.3738,0.3769,0.3869,
0.3931,0.3948,0.3983,0.4055,0.4060,0.4079,0.4083,0.4086,0.4095,0.4097,
0.4111,0.4137,0.4172,0.4226,0.4240,0.4317,0.4320,0.4383,0.4401,0.4522,
0.4538,0.4594,0.4631,0.4654,0.4710,0.4752,0.4760,0.4761,0.4763,0.4821,
0.4825,0.4913,0.4914,0.4985,0.5102,0.5146,0.5170,0.5215,0.5223,0.5230,
0.5293,0.5325,0.5351,0.5374,0.5431,0.5453,0.5508,0.5647,0.5710,0.5718,
0.5775,0.5793,0.5829,0.5891,0.5903,0.6061,0.6079,0.6079,0.6119,0.6237,
0.6250,0.6282,0.6284,0.6301,0.6313,0.6313,0.6358,0.6467,0.6543,0.6575,
0.6587,0.6588,0.6674,0.6722,0.6723,0.6733,0.6748,0.6760,0.6760,0.6760,
0.6760,0.6767,0.6774,0.6787,0.6796,0.6877,0.6902,0.6964,0.6976,0.7006,
0.7031,0.7070,0.7081,0.7091,0.7105,0.7131,0.7144,0.7219,0.7240,0.7331,
0.7434,0.7440,0.7519,0.7556,0.7624,0.7634,0.7670,0.7671,0.7707,0.7733,
0.7767,0.7768,0.7803,0.7815,0.7817,0.7819,0.7878,0.7961,0.7985,0.8072,
0.8170,0.8170,0.8187,0.8310,0.8345,0.8369,0.8436,0.8447,0.8477,0.8501,
0.8505,0.8530,0.8555,0.8580,0.8583,0.8610,0.8675,0.8733,0.8794,0.8873,
0.8911,0.8919,0.8928,0.8984,0.9000,0.9053,0.9076,0.9081,0.9098,0.9155,
0.9155,0.9173,0.9178,0.9218,0.9218,0.9416,0.9450,0.9455,0.9466,0.9484,
0.9534,0.9622,0.9642,0.9718,0.9739,0.9798,0.9807,0.9838,0.9859,
Overall p-value after applying KStest on 269 p-values = 0.420947
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.