RESULTS OF BIRTHDAY SPACINGS FOR dh-ranFile-2018-06-20_17:31
(no_bdays=1024, no_days/yr=2^24, lambda=16.00, sample size=500)
Bits used mean chisqr p-value
1 to 24 15.89 12.7664 0.248323
2 to 25 15.85 16.4172 0.505525
3 to 26 15.99 18.0283 0.612943
4 to 27 15.47 21.5066 0.795553
5 to 28 15.86 16.0464 0.479450
6 to 29 16.00 11.6129 0.177012
7 to 30 15.99 25.3823 0.913527
8 to 31 15.84 10.9180 0.139204
9 to 32 15.85 15.0103 0.405261
Chisquare degrees of freedom: 17
---------------------------------------------------------------
p-value for KStest on those 9 p-values: 0.949008
Tough bday spacings test for dh-ranFile-2018-06-20_17:31: 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 9 30 88 97 83 81 51 31 21 7 2
(O-E)^2/E 0.0 1.2 3.0 0.0 2.2 0.1 0.0 0.1 2.5 0.0 1.0
Birthday Spacings: Sum(O-E)^2/E= 10.142, p= 0.572
RESULTS OF GCD FOR dh-ranFile-2018-06-20_17:31
Euclid's algorithm:
p-value, steps to gcd: 0.405333
p-value, dist. of gcd's: 0.974605
Gorilla test for 2^26 bits, positions 0 to 31 for dh-ranFile-2018-06-20_17:31:
Note: lengthy test---for example, ~20 minutes for 850MHz PC
Bits 0 to 7---> 0.174 0.564 0.082 0.802 0.223 0.748 0.265 0.581
Bits 8 to 15---> 0.492 0.241 0.552 0.557 0.411 0.775 0.591 0.466
Bits 16 to 23---> 0.269 0.562 0.369 0.586 0.361 0.307 0.797 0.110
Bits 24 to 31---> 0.689 0.473 0.632 0.259 0.003 0.525 0.216 0.326
KS test for the above 32 p values: 0.911
The OPERM5 test for 10 million (overlapping) 5-tuples for dh-ranFile-2018-06-20_17:31,
p-values for 5 runs: 0.8569, 0.1014, 0.7320, 0.3648, 0.1546
Rank test for binary matrices (31x31) for dh-ranFile-2018-06-20_17:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=28 222 211.4 0.530 0.530
r= 29 5203 5134.0 0.927 1.457
r= 30 22936 23103.0 1.208 2.665
r= 31 11639 11551.5 0.662 3.327
chi-square = 3.327 with df = 3; p-value = 0.656
--------------------------------------------------------------
Rank test for binary matrices (32x32) for dh-ranFile-2018-06-20_17:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=29 230 211.4 1.633 1.633
r= 30 5182 5134.0 0.449 2.082
r= 31 22917 23103.0 1.498 3.580
r= 32 11671 11551.5 1.236 4.816
chi-square = 4.816 with df = 3; p-value = 0.814
--------------------------------------------------------------
Rank test for binary matrices (6x8) for dh-ranFile-2018-06-20_17:31
b-rank test for bits 1 to 8, p=0.16192
b-rank test for bits 2 to 9, p=0.94106
b-rank test for bits 3 to 10, p=0.35809
b-rank test for bits 4 to 11, p=0.07134
b-rank test for bits 5 to 12, p=0.07754
b-rank test for bits 6 to 13, p=0.65128
b-rank test for bits 7 to 14, p=0.49850
b-rank test for bits 8 to 15, p=0.79834
b-rank test for bits 9 to 16, p=0.86646
b-rank test for bits 10 to 17, p=0.83131
b-rank test for bits 11 to 18, p=0.56286
b-rank test for bits 12 to 19, p=0.12683
b-rank test for bits 13 to 20, p=0.65588
b-rank test for bits 14 to 21, p=0.84070
b-rank test for bits 15 to 22, p=0.25774
b-rank test for bits 16 to 23, p=0.10533
b-rank test for bits 17 to 24, p=0.66679
b-rank test for bits 18 to 25, p=0.44057
b-rank test for bits 19 to 26, p=0.70133
b-rank test for bits 20 to 27, p=0.79359
b-rank test for bits 21 to 28, p=0.59503
b-rank test for bits 22 to 29, p=0.46685
b-rank test for bits 23 to 30, p=0.75233
b-rank test for bits 24 to 31, p=0.86770
b-rank test for bits 25 to 32, p=0.90349
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 = 0.398757
THE OVERLAPPING 20-TUPLES BITSTREAM TEST for dh-ranFile-2018-06-20_17:31
(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 142510 1.40 0.919756
2 141464 -1.04 0.149056
3 142031 0.28 0.611900
4 142179 0.63 0.735676
5 142091 0.42 0.664386
6 141997 0.20 0.581150
7 141720 -0.44 0.329114
8 141753 -0.37 0.357460
9 141727 -0.43 0.335052
10 142301 0.92 0.819935
11 141934 0.06 0.522982
12 142746 1.95 0.974699
13 141878 -0.07 0.470823
14 142119 0.49 0.687892
15 142126 0.51 0.693655
16 142663 1.76 0.960873
17 142066 0.37 0.642837
18 141892 -0.04 0.483851
19 142410 1.17 0.878957
20 142858 2.22 0.986672
----------------------------------------------------------------
OPSO test for dh-ranFile-2018-06-20_17:31
Bits used No. missing words z-score p-value
23 to 32 141952 0.1471 0.558488
22 to 31 141511 -1.3736 0.084790
21 to 30 142091 0.6264 0.734490
20 to 29 141315 -2.0494 0.020211
19 to 28 141911 0.0058 0.502297
18 to 27 141923 0.0471 0.518798
17 to 26 142525 2.1230 0.983123
16 to 25 141896 -0.0460 0.481669
15 to 24 142009 0.3437 0.634460
14 to 23 142066 0.5402 0.705485
13 to 22 141684 -0.7770 0.218579
12 to 21 141467 -1.5253 0.063595
11 to 20 141834 -0.2598 0.397525
10 to 19 141427 -1.6632 0.048136
9 to 18 141738 -0.5908 0.277330
8 to 17 141864 -0.1563 0.437894
7 to 16 141543 -1.2632 0.103257
6 to 15 141952 0.1471 0.558488
5 to 14 141665 -0.8425 0.199749
4 to 13 141685 -0.7736 0.219598
3 to 12 142047 0.4747 0.682508
2 to 11 142146 0.8161 0.792780
1 to 10 141920 0.0368 0.514675
-----------------------------------------------------------------
OQSO test for dh-ranFile-2018-06-20_17:31
Bits used No. missing words z-score p-value
28 to 32 141904 -0.0181 0.492792
27 to 31 141981 0.2429 0.595978
26 to 30 141999 0.3040 0.619423
25 to 29 142149 0.8124 0.791731
24 to 28 141438 -1.5977 0.055052
23 to 27 141307 -2.0418 0.020586
22 to 26 141908 -0.0045 0.498201
21 to 25 141977 0.2294 0.590717
20 to 24 142136 0.7684 0.778867
19 to 23 141891 -0.0621 0.475227
18 to 22 142216 1.0396 0.850728
17 to 21 142468 1.8938 0.970874
16 to 20 142255 1.1718 0.879354
15 to 19 141716 -0.6554 0.256119
14 to 18 141909 -0.0011 0.499554
13 to 17 141914 0.0158 0.506315
12 to 16 141773 -0.4621 0.321992
11 to 15 142325 1.4091 0.920590
10 to 14 141967 0.1955 0.577496
9 to 13 141852 -0.1943 0.422955
8 to 12 141411 -1.6893 0.045585
7 to 11 141817 -0.3130 0.377147
6 to 10 141755 -0.5232 0.300434
5 to 9 141742 -0.5672 0.285282
4 to 8 141805 -0.3537 0.361797
3 to 7 142105 0.6633 0.746427
2 to 6 141979 0.2362 0.593349
1 to 5 141419 -1.6621 0.048243
-----------------------------------------------------------------
DNA test for dh-ranFile-2018-06-20_17:31
Bits used No. missing words z-score p-value
31 to 32 141981 0.2114 0.583719
30 to 31 142274 1.0757 0.858974
29 to 30 142282 1.0993 0.864186
28 to 29 141851 -0.1721 0.431693
27 to 28 141354 -1.6381 0.050696
26 to 27 142456 1.6126 0.946584
25 to 26 141711 -0.5850 0.279259
24 to 25 142114 0.6037 0.726994
23 to 24 141903 -0.0187 0.492551
22 to 23 141502 -1.2016 0.114766
21 to 22 141485 -1.2517 0.105338
20 to 21 141770 -0.4110 0.340535
19 to 20 142072 0.4799 0.684334
18 to 19 141777 -0.3904 0.348137
17 to 18 141911 0.0049 0.501965
16 to 17 142295 1.1377 0.872371
15 to 16 141900 -0.0275 0.489022
14 to 15 141993 0.2468 0.597474
13 to 14 141761 -0.4376 0.330856
12 to 13 142060 0.4445 0.671643
11 to 12 141829 -0.2370 0.406343
10 to 11 142295 1.1377 0.872371
9 to 10 141349 -1.6529 0.049177
8 to 9 142358 1.3235 0.907167
7 to 8 141971 0.1819 0.572176
6 to 7 140797 -3.2812 0.000517
5 to 6 141574 -0.9892 0.161289
4 to 5 142189 0.8250 0.795310
3 to 4 141910 0.0020 0.500789
2 to 3 142279 1.0905 0.862247
1 to 2 142240 0.9754 0.835326
-----------------------------------------------------------------
Test result COUNT-THE-1's in bytes for dh-ranFile-2018-06-20_17:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 2560000)
chisquare z-score p-value
2501.90 0.027 0.510699
Test results for specific bytes for dh-ranFile-2018-06-20_17:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 256000)
bits used chisquare z-score p-value
1 to 8 2342.93 -2.221 0.013166
2 to 9 2554.21 0.767 0.778334
3 to 10 2480.47 -0.276 0.391195
4 to 11 2523.29 0.329 0.629054
5 to 12 2424.79 -1.064 0.143748
6 to 13 2547.38 0.670 0.748600
7 to 14 2674.62 2.470 0.993236
8 to 15 2554.95 0.777 0.781467
9 to 16 2478.40 -0.305 0.380005
10 to 17 2554.37 0.769 0.779040
11 to 18 2370.44 -1.832 0.033461
12 to 19 2516.85 0.238 0.594196
13 to 20 2448.76 -0.725 0.234326
14 to 21 2505.50 0.078 0.530972
15 to 22 2427.81 -1.021 0.153636
16 to 23 2590.65 1.282 0.900066
17 to 24 2509.63 0.136 0.554140
18 to 25 2465.23 -0.492 0.311439
19 to 26 2509.37 0.132 0.552702
20 to 27 2394.27 -1.495 0.067420
21 to 28 2457.69 -0.598 0.274802
22 to 29 2555.96 0.791 0.785653
23 to 30 2505.60 0.079 0.531567
24 to 31 2500.83 0.012 0.504709
25 to 32 2321.75 -2.521 0.005853
CDPARK for dh-ranFile-2018-06-20_17:31: 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
3498 -1.1416 0.126820
3521 -0.0913 0.463617
3514 -0.4110 0.340551
3520 -0.1370 0.445521
3528 0.2283 0.590298
3524 0.0457 0.518210
3545 1.0046 0.842447
3496 -1.2329 0.108811
3506 -0.7763 0.218799
3513 -0.4566 0.323972
Square side=100, avg. no. parked=3516.50 sample std.=13.87
p-value of the KSTEST for those 10 p-values: 0.343162
Results for the MINIMUM DISTANCE test for dh-ranFile-2018-06-20_17:31
0.8761,0.1906,0.7198,0.1933,0.8069,0.5954,0.6707,0.3930,0.4218,0.9709,
The KS test for those 10 p-values: 0.664777
The 3DSPHERES test for dh-ranFile-2018-06-20_17:31
sample no r^3 equiv. uni.
1 52.608 0.826848
2 16.849 0.429715
3 0.908 0.029804
4 56.343 0.847118
5 39.149 0.728816
6 79.025 0.928222
7 5.902 0.178597
8 40.664 0.742174
9 19.564 0.479067
10 36.390 0.702700
11 0.354 0.011719
12 22.150 0.522094
13 18.500 0.460260
14 91.892 0.953256
15 20.512 0.495275
16 2.571 0.082139
17 2.961 0.093987
18 38.482 0.722719
19 26.671 0.588942
20 6.774 0.202115
--------------------------------------------------------------
p-value for KS test on those 20 p-values: 0.860519
RESULTS OF SQUEEZE TEST FOR dh-ranFile-2018-06-20_17:31
Table of standardized frequency counts
(obs-exp)^2/exp for j=(1,..,6), 7,...,47,(48,...)
-1.5 -0.3 0.3 -1.4 -1.6 0.3
-0.5 -0.7 -0.1 -0.5 -0.8 0.7
0.6 -0.3 0.2 0.2 0.4 1.1
-1.0 -1.7 -0.3 1.3 0.7 -0.2
0.1 -0.0 0.9 -0.5 0.2 -1.5
-0.5 1.3 1.2 -0.6 1.5 -1.0
1.0 0.5 1.3 -0.7 -1.3 -1.0
-1.1
Chi-square with 42 degrees of freedom:35.053468
z-score=-0.757929, p-value=0.232572
_____________________________________________________________
Results of the OSUM test for dh-ranFile-2018-06-20_17:31
Test no p-value
1 0.939809
2 0.134651
3 0.009576
4 0.107587
5 0.584758
6 0.844960
7 0.015061
8 0.194762
9 0.097468
10 0.668421
_____________________________________________________________
p-value for 10 kstests on 100 sums: 0.051637
Test for lengths of runs up and runs down, 100,000 each for dh-ranFile-2018-06-20_17:31:
(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 66460 0.64 66955 1.25
3 25000.00 25133 0.71 24789 1.78
4 6666.67 6758 1.25 6606 0.55
5 1388.89 1370 0.26 1363 0.48
6 238.10 235 0.04 246 0.26
7 34.72 39 0.53 36 0.05
8 4.96 4 0.19 4 0.19
p=0.27072 p=0.39839
Number of rngs required: 689133, p-value: 0.801
RESULTS OF CRAPS TEST for dh-ranFile-2018-06-20_17:31
No. of wins: Observed Expected
98768 98585.9
z-score= 0.815, pvalue=0.79236
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66826 66666.7 0.381 0.381
2 37501 37654.3 0.624 1.005
3 26834 26954.7 0.541 1.546
4 19371 19313.5 0.171 1.717
5 13806 13851.4 0.149 1.866
6 9885 9943.5 0.345 2.211
7 7140 7145.0 0.004 2.214
8 5312 5139.1 5.819 8.033
9 3643 3699.9 0.874 8.907
10 2666 2666.3 0.000 8.907
11 2019 1923.3 4.759 13.666
12 1403 1388.7 0.146 13.813
13 950 1003.7 2.875 16.687
14 723 726.1 0.014 16.701
15 537 525.8 0.237 16.938
16 354 381.2 1.934 18.872
17 297 276.5 1.514 20.386
18 186 200.8 1.095 21.481
19 179 146.0 7.467 28.948
20 102 106.2 0.167 29.115
21 266 287.1 1.553 30.668
Chisq= 30.67 for 20 degrees of freedom, p= 0.94027
SUMMARY of craptest
p-value for no. of wins: 0.792362
p-value for throws/game: 0.940266
_____________________________________________________________
RESULTS OF CRAPS TEST2 for dh-ranFile-2018-06-20_17:31
No. of wins: Observed Expected
98601 98585.9
z-score= 0.068, pvalue=0.52700
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66542 66666.7 0.233 0.233
2 37281 37654.3 3.701 3.934
3 27094 26954.7 0.720 4.654
4 19401 19313.5 0.397 5.051
5 13822 13851.4 0.062 5.113
6 10026 9943.5 0.684 5.797
7 7206 7145.0 0.520 6.317
8 5159 5139.1 0.077 6.395
9 3835 3699.9 4.936 11.330
10 2598 2666.3 1.749 13.080
11 1966 1923.3 0.947 14.026
12 1422 1388.7 0.797 14.823
13 1003 1003.7 0.001 14.824
14 760 726.1 1.579 16.402
15 510 525.8 0.477 16.879
16 374 381.2 0.134 17.013
17 262 276.5 0.764 17.778
18 211 200.8 0.515 18.293
19 147 146.0 0.007 18.300
20 100 106.2 0.364 18.664
21 281 287.1 0.130 18.794
Chisq= 18.79 for 20 degrees of freedom, p= 0.46474
SUMMARY of craptest
p-value for no. of wins: 0.526996
p-value for throws/game: 0.464737
_____________________________________________________________
***** TEST SUMMARY *****
All p-values:
0.0005,0.0033,0.0059,0.0096,0.0117,0.0132,0.0151,0.0202,0.0206,0.0298,
0.0335,0.0456,0.0481,0.0482,0.0492,0.0507,0.0516,0.0551,0.0636,0.0674,
0.0713,0.0775,0.0815,0.0821,0.0848,0.0940,0.0975,0.1014,0.1033,0.1053,
0.1053,0.1076,0.1088,0.1105,0.1148,0.1268,0.1268,0.1347,0.1392,0.1437,
0.1491,0.1536,0.1546,0.1613,0.1619,0.1737,0.1770,0.1786,0.1906,0.1933,
0.1948,0.1997,0.2021,0.2158,0.2186,0.2188,0.2196,0.2231,0.2326,0.2343,
0.2412,0.2483,0.2561,0.2577,0.2590,0.2654,0.2694,0.2707,0.2748,0.2773,
0.2793,0.2853,0.3004,0.3067,0.3114,0.3220,0.3240,0.3257,0.3291,0.3309,
0.3351,0.3405,0.3406,0.3432,0.3481,0.3575,0.3581,0.3614,0.3618,0.3648,
0.3688,0.3771,0.3800,0.3912,0.3930,0.3975,0.3984,0.3988,0.4053,0.4053,
0.4063,0.4109,0.4218,0.4230,0.4297,0.4317,0.4379,0.4406,0.4455,0.4603,
0.4636,0.4647,0.4659,0.4669,0.4708,0.4729,0.4752,0.4791,0.4794,0.4817,
0.4839,0.4890,0.4919,0.4926,0.4928,0.4953,0.4982,0.4985,0.4996,0.5008,
0.5020,0.5023,0.5047,0.5055,0.5063,0.5107,0.5147,0.5182,0.5188,0.5221,
0.5230,0.5251,0.5270,0.5310,0.5316,0.5522,0.5527,0.5541,0.5572,0.5585,
0.5585,0.5619,0.5629,0.5638,0.5719,0.5722,0.5775,0.5812,0.5813,0.5837,
0.5848,0.5858,0.5889,0.5903,0.5907,0.5908,0.5933,0.5942,0.5950,0.5954,
0.5960,0.5975,0.6119,0.6129,0.6194,0.6291,0.6319,0.6345,0.6428,0.6513,
0.6559,0.6561,0.6644,0.6648,0.6668,0.6684,0.6707,0.6716,0.6825,0.6843,
0.6879,0.6892,0.6937,0.7013,0.7027,0.7055,0.7198,0.7227,0.7270,0.7288,
0.7320,0.7345,0.7357,0.7422,0.7464,0.7476,0.7486,0.7523,0.7746,0.7783,
0.7789,0.7790,0.7815,0.7857,0.7917,0.7924,0.7928,0.7936,0.7953,0.7956,
0.7973,0.7983,0.8007,0.8017,0.8069,0.8142,0.8199,0.8268,0.8313,0.8353,
0.8407,0.8424,0.8450,0.8471,0.8507,0.8569,0.8590,0.8605,0.8622,0.8642,
0.8665,0.8677,0.8724,0.8724,0.8761,0.8790,0.8794,0.9001,0.9035,0.9072,
0.9107,0.9135,0.9198,0.9206,0.9282,0.9398,0.9403,0.9411,0.9466,0.9490,
0.9533,0.9609,0.9709,0.9709,0.9746,0.9747,0.9831,0.9867,0.9932,
Overall p-value after applying KStest on 269 p-values = 0.479158
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.