RESULTS OF BIRTHDAY SPACINGS FOR dh-ranFile-2018-07-10_06:31
(no_bdays=1024, no_days/yr=2^24, lambda=16.00, sample size=500)
Bits used mean chisqr p-value
1 to 24 15.50 18.1873 0.622882
2 to 25 15.66 10.1724 0.103777
3 to 26 15.67 14.0025 0.333078
4 to 27 16.09 11.9541 0.197091
5 to 28 15.87 30.5806 0.977551
6 to 29 15.86 21.9633 0.813866
7 to 30 16.12 19.2203 0.683963
8 to 31 15.75 17.6954 0.591703
9 to 32 15.37 27.5952 0.950104
Chisquare degrees of freedom: 17
---------------------------------------------------------------
p-value for KStest on those 9 p-values: 0.598076
Tough bday spacings test for dh-ranFile-2018-07-10_06:31: 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 30 74 108 91 77 52 28 17 9 6
(O-E)^2/E 0.1 1.2 0.0 1.1 0.5 0.0 0.0 0.1 0.3 0.9 0.9
Birthday Spacings: Sum(O-E)^2/E= 5.103, p= 0.116
RESULTS OF GCD FOR dh-ranFile-2018-07-10_06:31
Euclid's algorithm:
p-value, steps to gcd: 0.780218
p-value, dist. of gcd's: 0.811630
Gorilla test for 2^26 bits, positions 0 to 31 for dh-ranFile-2018-07-10_06:31:
Note: lengthy test---for example, ~20 minutes for 850MHz PC
Bits 0 to 7---> 0.011 0.819 0.020 0.844 0.630 0.249 0.602 0.614
Bits 8 to 15---> 0.072 0.111 0.978 0.293 0.312 0.521 0.744 0.761
Bits 16 to 23---> 0.826 0.401 0.059 0.592 0.349 0.098 0.523 0.096
Bits 24 to 31---> 0.257 0.186 0.005 0.910 0.299 0.369 0.361 0.076
KS test for the above 32 p values: 0.921
The OPERM5 test for 10 million (overlapping) 5-tuples for dh-ranFile-2018-07-10_06:31,
p-values for 5 runs: 0.5632, 0.2765, 0.8713, 0.6541, 0.9103
Rank test for binary matrices (31x31) for dh-ranFile-2018-07-10_06:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=28 214 211.4 0.032 0.032
r= 29 5132 5134.0 0.001 0.032
r= 30 23073 23103.0 0.039 0.071
r= 31 11581 11551.5 0.075 0.147
chi-square = 0.147 with df = 3; p-value = 0.014
--------------------------------------------------------------
Rank test for binary matrices (32x32) for dh-ranFile-2018-07-10_06:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=29 194 211.4 1.435 1.435
r= 30 5067 5134.0 0.875 2.310
r= 31 23183 23103.0 0.277 2.586
r= 32 11556 11551.5 0.002 2.588
chi-square = 2.588 with df = 3; p-value = 0.540
--------------------------------------------------------------
Rank test for binary matrices (6x8) for dh-ranFile-2018-07-10_06:31
b-rank test for bits 1 to 8, p=0.24366
b-rank test for bits 2 to 9, p=0.86307
b-rank test for bits 3 to 10, p=0.93167
b-rank test for bits 4 to 11, p=0.87657
b-rank test for bits 5 to 12, p=0.62476
b-rank test for bits 6 to 13, p=0.73019
b-rank test for bits 7 to 14, p=0.21705
b-rank test for bits 8 to 15, p=0.76747
b-rank test for bits 9 to 16, p=0.52744
b-rank test for bits 10 to 17, p=0.70252
b-rank test for bits 11 to 18, p=0.14822
b-rank test for bits 12 to 19, p=0.37345
b-rank test for bits 13 to 20, p=0.28256
b-rank test for bits 14 to 21, p=0.63415
b-rank test for bits 15 to 22, p=0.69052
b-rank test for bits 16 to 23, p=0.66500
b-rank test for bits 17 to 24, p=0.02126
b-rank test for bits 18 to 25, p=0.94927
b-rank test for bits 19 to 26, p=0.43735
b-rank test for bits 20 to 27, p=0.87054
b-rank test for bits 21 to 28, p=0.20017
b-rank test for bits 22 to 29, p=0.85986
b-rank test for bits 23 to 30, p=0.95740
b-rank test for bits 24 to 31, p=0.47655
b-rank test for bits 25 to 32, p=0.04982
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 = 0.455917
THE OVERLAPPING 20-TUPLES BITSTREAM TEST for dh-ranFile-2018-07-10_06:31
(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 141631 -0.65 0.257748
2 141856 -0.12 0.450419
3 140795 -2.60 0.004613
4 141964 0.13 0.550820
5 141361 -1.28 0.100071
6 141483 -1.00 0.159601
7 141340 -1.33 0.091725
8 142043 0.31 0.622599
9 141424 -1.13 0.128408
10 142069 0.37 0.645448
11 141384 -1.23 0.109835
12 141224 -1.60 0.054662
13 142156 0.58 0.717805
14 142092 0.43 0.665237
15 141902 -0.02 0.493168
16 142619 1.66 0.951352
17 141152 -1.77 0.038408
18 141583 -0.76 0.222895
19 141485 -0.99 0.160739
20 141153 -1.77 0.038604
----------------------------------------------------------------
OPSO test for dh-ranFile-2018-07-10_06:31
Bits used No. missing words z-score p-value
23 to 32 141859 -0.1736 0.431109
22 to 31 141250 -2.2736 0.011496
21 to 30 142012 0.3540 0.638344
20 to 29 141752 -0.5425 0.293731
19 to 28 141461 -1.5460 0.061056
18 to 27 141698 -0.7287 0.233085
17 to 26 141642 -0.9218 0.178309
16 to 25 141795 -0.3942 0.346701
15 to 24 142151 0.8333 0.797675
14 to 23 141497 -1.4218 0.077538
13 to 22 141994 0.2920 0.614844
12 to 21 141290 -2.1356 0.016355
11 to 20 142135 0.7782 0.781766
10 to 19 141850 -0.2046 0.418948
9 to 18 142116 0.7127 0.761970
8 to 17 142079 0.5851 0.720749
7 to 16 141805 -0.3598 0.359514
6 to 15 142019 0.3782 0.647349
5 to 14 142107 0.6816 0.752261
4 to 13 142373 1.5989 0.945074
3 to 12 142093 0.6333 0.736746
2 to 11 141697 -0.7322 0.232032
1 to 10 141873 -0.1253 0.450153
-----------------------------------------------------------------
OQSO test for dh-ranFile-2018-07-10_06:31
Bits used No. missing words z-score p-value
28 to 32 141961 0.1752 0.569520
27 to 31 141875 -0.1164 0.453679
26 to 30 141746 -0.5537 0.289905
25 to 29 142519 2.0667 0.980618
24 to 28 141899 -0.0350 0.486033
23 to 27 142000 0.3074 0.620714
22 to 26 142087 0.6023 0.726503
21 to 25 141843 -0.2248 0.411049
20 to 24 142500 2.0023 0.977372
19 to 23 142208 1.0124 0.844336
18 to 22 142203 0.9955 0.840251
17 to 21 141850 -0.2011 0.420303
16 to 20 141278 -2.1401 0.016173
15 to 19 141401 -1.7232 0.042430
14 to 18 141464 -1.5096 0.065574
13 to 17 142108 0.6735 0.749672
12 to 16 141968 0.1989 0.578822
11 to 15 141778 -0.4452 0.328093
10 to 14 141657 -0.8554 0.196177
9 to 13 142010 0.3413 0.633544
8 to 12 141889 -0.0689 0.472529
7 to 11 142366 1.5480 0.939193
6 to 10 141339 -1.9333 0.026598
5 to 9 142040 0.4429 0.671099
4 to 8 141912 0.0091 0.503611
3 to 7 142084 0.5921 0.723109
2 to 6 142062 0.5175 0.697605
1 to 5 142126 0.7345 0.768670
-----------------------------------------------------------------
DNA test for dh-ranFile-2018-07-10_06:31
Bits used No. missing words z-score p-value
31 to 32 141535 -1.1042 0.134749
30 to 31 141881 -0.0836 0.466699
29 to 30 141955 0.1347 0.553583
28 to 29 141782 -0.3756 0.353605
27 to 28 141394 -1.5201 0.064237
26 to 27 141989 0.2350 0.592901
25 to 26 142170 0.7689 0.779035
24 to 25 141743 -0.4906 0.311837
23 to 24 141926 0.0492 0.519610
22 to 23 142193 0.8368 0.798643
21 to 22 141984 0.2203 0.587168
20 to 21 142390 1.4179 0.921891
19 to 20 141282 -1.8505 0.032119
18 to 19 141427 -1.4228 0.077397
17 to 18 141957 0.1406 0.555915
16 to 17 141654 -0.7532 0.225669
15 to 16 142099 0.5595 0.712089
14 to 15 141947 0.1111 0.544240
13 to 14 142220 0.9164 0.820280
12 to 13 142040 0.3855 0.650051
11 to 12 141559 -1.0334 0.150703
10 to 11 142014 0.3088 0.621248
9 to 10 141802 -0.3166 0.375771
8 to 9 141539 -1.0924 0.137325
7 to 8 141977 0.1996 0.579110
6 to 7 142289 1.1200 0.868637
5 to 6 142044 0.3973 0.654411
4 to 5 141827 -0.2429 0.404056
3 to 4 141750 -0.4700 0.319178
2 to 3 142411 1.4799 0.930544
1 to 2 141792 -0.3461 0.364632
-----------------------------------------------------------------
Test result COUNT-THE-1's in bytes for dh-ranFile-2018-07-10_06:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 2560000)
chisquare z-score p-value
2498.24 -0.025 0.490066
Test results for specific bytes for dh-ranFile-2018-07-10_06:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 256000)
bits used chisquare z-score p-value
1 to 8 2457.51 -0.601 0.273972
2 to 9 2544.34 0.627 0.734668
3 to 10 2472.78 -0.385 0.350153
4 to 11 2538.09 0.539 0.704922
5 to 12 2522.74 0.322 0.626133
6 to 13 2554.53 0.771 0.779705
7 to 14 2517.60 0.249 0.598256
8 to 15 2511.21 0.158 0.562960
9 to 16 2501.42 0.020 0.507994
10 to 17 2588.95 1.258 0.895801
11 to 18 2587.93 1.244 0.893168
12 to 19 2467.20 -0.464 0.321393
13 to 20 2489.27 -0.152 0.439669
14 to 21 2483.14 -0.238 0.405765
15 to 22 2557.59 0.814 0.792287
16 to 23 2428.58 -1.010 0.156240
17 to 24 2452.10 -0.677 0.249088
18 to 25 2442.62 -0.811 0.208556
19 to 26 2410.61 -1.264 0.103077
20 to 27 2451.36 -0.688 0.245781
21 to 28 2449.59 -0.713 0.237945
22 to 29 2483.38 -0.235 0.407072
23 to 30 2494.37 -0.080 0.468243
24 to 31 2603.18 1.459 0.927748
25 to 32 2564.51 0.912 0.819183
CDPARK for dh-ranFile-2018-07-10_06:31: 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
3521 -0.0913 0.463617
3497 -1.1872 0.117571
3521 -0.0913 0.463617
3516 -0.3196 0.374623
3517 -0.2740 0.392053
3547 1.0959 0.863437
3526 0.1370 0.554479
3501 -1.0046 0.157553
3540 0.7763 0.781201
3520 -0.1370 0.445521
Square side=100, avg. no. parked=3520.60 sample std.=14.42
p-value of the KSTEST for those 10 p-values: 0.597099
Results for the MINIMUM DISTANCE test for dh-ranFile-2018-07-10_06:31
0.6287,0.9271,0.7628,0.2640,0.0255,0.1342,0.4831,0.6821,0.9399,0.7984,
The KS test for those 10 p-values: 0.719485
The 3DSPHERES test for dh-ranFile-2018-07-10_06:31
sample no r^3 equiv. uni.
1 67.142 0.893335
2 9.966 0.282655
3 92.267 0.953836
4 30.445 0.637535
5 81.790 0.934542
6 6.123 0.184631
7 15.959 0.412556
8 10.476 0.294743
9 11.741 0.323877
10 39.231 0.729562
11 1.346 0.043862
12 82.747 0.936597
13 28.452 0.612642
14 14.445 0.382136
15 132.980 0.988117
16 92.953 0.954880
17 15.063 0.394744
18 12.732 0.345838
19 5.204 0.159266
20 12.631 0.343621
--------------------------------------------------------------
p-value for KS test on those 20 p-values: 0.304038
RESULTS OF SQUEEZE TEST FOR dh-ranFile-2018-07-10_06:31
Table of standardized frequency counts
(obs-exp)^2/exp for j=(1,..,6), 7,...,47,(48,...)
-0.8 -1.6 0.1 0.9 0.8 -1.9
-0.3 -1.3 1.5 0.8 1.2 -0.7
0.6 -0.8 -0.7 0.4 1.9 -0.8
-1.4 0.9 0.2 0.0 -1.5 -0.4
-0.1 -1.3 1.9 -0.1 1.9 0.1
-0.6 -0.5 -0.0 -1.3 1.9 -0.7
0.5 -1.3 -0.8 -0.7 -0.6 -1.0
-0.1
Chi-square with 42 degrees of freedom:45.563461
z-score=0.388805, p-value=0.673878
_____________________________________________________________
Results of the OSUM test for dh-ranFile-2018-07-10_06:31
Test no p-value
1 0.063018
2 0.269878
3 0.099291
4 0.388819
5 0.000208
6 0.160190
7 0.002199
8 0.971614
9 0.003096
10 0.044854
_____________________________________________________________
p-value for 10 kstests on 100 sums: 0.000017
Test for lengths of runs up and runs down, 100,000 each for dh-ranFile-2018-07-10_06:31:
(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 66595 0.08 66526 0.30
3 25000.00 25067 0.18 25063 0.16
4 6666.67 6654 0.02 6727 0.55
5 1388.89 1403 0.14 1406 0.21
6 238.10 250 0.60 233 0.11
7 34.72 26 2.19 40 0.80
8 4.96 4 0.19 4 0.19
p=0.24213 p=0.11092
Number of rngs required: 687672, p-value: 0.199
RESULTS OF CRAPS TEST for dh-ranFile-2018-07-10_06:31
No. of wins: Observed Expected
98381 98585.9
z-score=-0.916, pvalue=0.17977
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66814 66666.7 0.326 0.326
2 37366 37654.3 2.208 2.533
3 26994 26954.7 0.057 2.590
4 19291 19313.5 0.026 2.617
5 13868 13851.4 0.020 2.636
6 9948 9943.5 0.002 2.638
7 7030 7145.0 1.852 4.490
8 5222 5139.1 1.338 5.828
9 3677 3699.9 0.141 5.970
10 2586 2666.3 2.418 8.388
11 2013 1923.3 4.181 12.569
12 1467 1388.7 4.410 16.979
13 1016 1003.7 0.150 17.129
14 808 726.1 9.228 26.357
15 530 525.8 0.033 26.390
16 372 381.2 0.220 26.610
17 277 276.5 0.001 26.611
18 205 200.8 0.087 26.697
19 126 146.0 2.736 29.433
20 108 106.2 0.030 29.463
21 282 287.1 0.091 29.554
Chisq= 29.55 for 20 degrees of freedom, p= 0.92259
SUMMARY of craptest
p-value for no. of wins: 0.179769
p-value for throws/game: 0.922593
_____________________________________________________________
RESULTS OF CRAPS TEST2 for dh-ranFile-2018-07-10_06:31
No. of wins: Observed Expected
98989 98585.9
z-score= 1.803, pvalue=0.96431
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66884 66666.7 0.709 0.709
2 37485 37654.3 0.761 1.470
3 26667 26954.7 3.071 4.541
4 19118 19313.5 1.978 6.520
5 14026 13851.4 2.200 8.720
6 10006 9943.5 0.392 9.112
7 7068 7145.0 0.830 9.943
8 5141 5139.1 0.001 9.943
9 3679 3699.9 0.118 10.061
10 2804 2666.3 7.112 17.173
11 2037 1923.3 6.718 23.891
12 1337 1388.7 1.928 25.818
13 1099 1003.7 9.046 34.864
14 704 726.1 0.675 35.539
15 530 525.8 0.033 35.572
16 377 381.2 0.045 35.617
17 292 276.5 0.864 36.482
18 191 200.8 0.481 36.963
19 139 146.0 0.334 37.297
20 101 106.2 0.256 37.553
21 315 287.1 2.708 40.261
Chisq= 40.26 for 20 degrees of freedom, p= 0.99537
SUMMARY of craptest
p-value for no. of wins: 0.964312
p-value for throws/game: 0.995371
_____________________________________________________________
***** TEST SUMMARY *****
All p-values:
0.0000,0.0002,0.0022,0.0031,0.0046,0.0046,0.0108,0.0115,0.0143,0.0162,
0.0164,0.0198,0.0213,0.0255,0.0266,0.0321,0.0384,0.0386,0.0424,0.0439,
0.0449,0.0498,0.0547,0.0591,0.0611,0.0630,0.0642,0.0656,0.0723,0.0755,
0.0774,0.0775,0.0917,0.0958,0.0981,0.0993,0.1001,0.1031,0.1038,0.1098,
0.1109,0.1110,0.1158,0.1176,0.1284,0.1342,0.1347,0.1373,0.1482,0.1507,
0.1562,0.1576,0.1593,0.1596,0.1602,0.1607,0.1783,0.1798,0.1846,0.1863,
0.1962,0.1971,0.1990,0.2002,0.2086,0.2171,0.2229,0.2257,0.2320,0.2331,
0.2379,0.2421,0.2437,0.2458,0.2488,0.2491,0.2567,0.2577,0.2640,0.2699,
0.2740,0.2765,0.2826,0.2827,0.2899,0.2934,0.2937,0.2947,0.2987,0.3040,
0.3118,0.3119,0.3192,0.3214,0.3239,0.3281,0.3331,0.3436,0.3458,0.3467,
0.3490,0.3502,0.3536,0.3595,0.3605,0.3646,0.3692,0.3734,0.3746,0.3758,
0.3821,0.3888,0.3921,0.3947,0.4012,0.4041,0.4058,0.4071,0.4110,0.4126,
0.4189,0.4203,0.4311,0.4373,0.4397,0.4455,0.4502,0.4504,0.4537,0.4559,
0.4636,0.4636,0.4667,0.4682,0.4725,0.4766,0.4831,0.4860,0.4901,0.4932,
0.5036,0.5080,0.5196,0.5207,0.5231,0.5274,0.5404,0.5442,0.5508,0.5536,
0.5545,0.5559,0.5630,0.5632,0.5695,0.5788,0.5791,0.5872,0.5917,0.5924,
0.5929,0.5971,0.5981,0.5983,0.6021,0.6126,0.6139,0.6148,0.6207,0.6212,
0.6226,0.6229,0.6248,0.6261,0.6287,0.6304,0.6335,0.6341,0.6375,0.6383,
0.6454,0.6473,0.6501,0.6541,0.6544,0.6650,0.6652,0.6711,0.6739,0.6821,
0.6840,0.6905,0.6976,0.7025,0.7049,0.7121,0.7178,0.7195,0.7207,0.7231,
0.7265,0.7296,0.7302,0.7347,0.7367,0.7442,0.7497,0.7523,0.7606,0.7620,
0.7628,0.7675,0.7687,0.7790,0.7797,0.7802,0.7812,0.7818,0.7923,0.7977,
0.7984,0.7986,0.8116,0.8139,0.8187,0.8192,0.8203,0.8262,0.8403,0.8440,
0.8443,0.8599,0.8631,0.8634,0.8686,0.8705,0.8713,0.8766,0.8932,0.8933,
0.8958,0.9099,0.9103,0.9212,0.9219,0.9226,0.9271,0.9277,0.9305,0.9317,
0.9345,0.9366,0.9392,0.9399,0.9451,0.9493,0.9501,0.9514,0.9538,0.9549,
0.9574,0.9643,0.9716,0.9774,0.9776,0.9779,0.9806,0.9881,0.9954,
Overall p-value after applying KStest on 269 p-values = 0.224772
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.