RESULTS OF BIRTHDAY SPACINGS FOR dh-ranFile-2018-06-22_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 15.62 16.9437 0.541814
2 to 25 15.75 19.8542 0.718244
3 to 26 15.52 14.7860 0.389105
4 to 27 15.66 23.0310 0.851756
5 to 28 15.91 11.1748 0.152665
6 to 29 15.86 12.9900 0.263146
7 to 30 16.02 10.0996 0.100617
8 to 31 15.89 12.1539 0.209273
9 to 32 15.80 14.7360 0.385510
Chisquare degrees of freedom: 17
---------------------------------------------------------------
p-value for KStest on those 9 p-values: 0.508640
Tough bday spacings test for dh-ranFile-2018-06-22_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 9 45 66 90 89 99 54 33 9 2 4
(O-E)^2/E 0.0 1.9 0.7 0.6 0.8 5.6 0.1 0.4 2.3 3.2 0.0
Birthday Spacings: Sum(O-E)^2/E= 15.543, p= 0.887
RESULTS OF GCD FOR dh-ranFile-2018-06-22_06:31
Euclid's algorithm:
p-value, steps to gcd: 0.648856
p-value, dist. of gcd's: 0.619991
Gorilla test for 2^26 bits, positions 0 to 31 for dh-ranFile-2018-06-22_06:31:
Note: lengthy test---for example, ~20 minutes for 850MHz PC
Bits 0 to 7---> 0.641 0.669 0.635 0.854 0.186 0.694 0.063 0.296
Bits 8 to 15---> 0.583 0.681 0.990 0.535 0.566 0.003 0.769 0.909
Bits 16 to 23---> 0.360 0.438 0.266 0.344 0.320 0.259 0.727 0.117
Bits 24 to 31---> 0.857 0.551 0.231 0.096 0.794 0.266 0.812 0.838
KS test for the above 32 p values: 0.062
The OPERM5 test for 10 million (overlapping) 5-tuples for dh-ranFile-2018-06-22_06:31,
p-values for 5 runs: 0.2660, 0.2670, 0.2607, 0.9557, 0.0943
Rank test for binary matrices (31x31) for dh-ranFile-2018-06-22_06:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=28 233 211.4 2.203 2.203
r= 29 5163 5134.0 0.164 2.367
r= 30 23070 23103.0 0.047 2.414
r= 31 11534 11551.5 0.027 2.441
chi-square = 2.441 with df = 3; p-value = 0.514
--------------------------------------------------------------
Rank test for binary matrices (32x32) for dh-ranFile-2018-06-22_06:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=29 213 211.4 0.012 0.012
r= 30 5111 5134.0 0.103 0.115
r= 31 23017 23103.0 0.320 0.435
r= 32 11659 11551.5 1.000 1.435
chi-square = 1.435 with df = 3; p-value = 0.303
--------------------------------------------------------------
Rank test for binary matrices (6x8) for dh-ranFile-2018-06-22_06:31
b-rank test for bits 1 to 8, p=0.83658
b-rank test for bits 2 to 9, p=0.52101
b-rank test for bits 3 to 10, p=0.14566
b-rank test for bits 4 to 11, p=0.68992
b-rank test for bits 5 to 12, p=0.25940
b-rank test for bits 6 to 13, p=0.18684
b-rank test for bits 7 to 14, p=0.30006
b-rank test for bits 8 to 15, p=0.75860
b-rank test for bits 9 to 16, p=0.84748
b-rank test for bits 10 to 17, p=0.68243
b-rank test for bits 11 to 18, p=0.83269
b-rank test for bits 12 to 19, p=0.22094
b-rank test for bits 13 to 20, p=0.31707
b-rank test for bits 14 to 21, p=0.29047
b-rank test for bits 15 to 22, p=0.90165
b-rank test for bits 16 to 23, p=0.93760
b-rank test for bits 17 to 24, p=0.93083
b-rank test for bits 18 to 25, p=0.63069
b-rank test for bits 19 to 26, p=0.10388
b-rank test for bits 20 to 27, p=0.12043
b-rank test for bits 21 to 28, p=0.72963
b-rank test for bits 22 to 29, p=0.28170
b-rank test for bits 23 to 30, p=0.61637
b-rank test for bits 24 to 31, p=0.80447
b-rank test for bits 25 to 32, p=0.77850
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 = 0.446646
THE OVERLAPPING 20-TUPLES BITSTREAM TEST for dh-ranFile-2018-06-22_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 141420 -1.14 0.126458
2 142086 0.41 0.660116
3 141403 -1.18 0.118402
4 141686 -0.52 0.300905
5 141900 -0.02 0.491304
6 142040 0.31 0.619933
7 142280 0.87 0.806769
8 142454 1.27 0.898419
9 142507 1.40 0.918707
10 141616 -0.69 0.246561
11 142061 0.35 0.638469
12 142209 0.70 0.758087
13 142295 0.90 0.816232
14 141864 -0.11 0.457826
15 142110 0.47 0.680413
16 141826 -0.19 0.422815
17 141868 -0.10 0.461536
18 141876 -0.08 0.468964
19 142549 1.49 0.932485
20 141569 -0.80 0.213259
----------------------------------------------------------------
OPSO test for dh-ranFile-2018-06-22_06:31
Bits used No. missing words z-score p-value
23 to 32 142245 1.1575 0.876462
22 to 31 141944 0.1196 0.547581
21 to 30 141381 -1.8218 0.034241
20 to 29 141507 -1.3873 0.082668
19 to 28 141526 -1.3218 0.093113
18 to 27 141735 -0.6011 0.273874
17 to 26 141999 0.3092 0.621418
16 to 25 142012 0.3540 0.638344
15 to 24 141942 0.1127 0.544848
14 to 23 141567 -1.1804 0.118911
13 to 22 141501 -1.4080 0.079560
12 to 21 141701 -0.7184 0.236262
11 to 20 141818 -0.3149 0.376407
10 to 19 142069 0.5506 0.709041
9 to 18 141396 -1.7701 0.038355
8 to 17 141960 0.1747 0.569352
7 to 16 141828 -0.2804 0.389567
6 to 15 141639 -0.9322 0.175624
5 to 14 142002 0.3196 0.625346
4 to 13 141720 -0.6529 0.256923
3 to 12 141895 -0.0494 0.480295
2 to 11 141931 0.0747 0.529783
1 to 10 141799 -0.3804 0.351806
-----------------------------------------------------------------
OQSO test for dh-ranFile-2018-06-22_06:31
Bits used No. missing words z-score p-value
28 to 32 141936 0.0904 0.536018
27 to 31 142004 0.3209 0.625863
26 to 30 141815 -0.3198 0.374574
25 to 29 142230 1.0870 0.861485
24 to 28 141995 0.2904 0.614248
23 to 27 141772 -0.4655 0.320778
22 to 26 142315 1.3752 0.915458
21 to 25 142491 1.9718 0.975682
20 to 24 141584 -1.1028 0.135054
19 to 23 141477 -1.4655 0.071389
18 to 22 142059 0.5074 0.694048
17 to 21 141886 -0.0791 0.468483
16 to 20 142391 1.6328 0.948742
15 to 19 141713 -0.6655 0.252857
14 to 18 142061 0.5141 0.696421
13 to 17 141521 -1.3164 0.094024
12 to 16 141708 -0.6825 0.247470
11 to 15 141998 0.3006 0.618131
10 to 14 142040 0.4429 0.671099
9 to 13 142115 0.6972 0.757157
8 to 12 142056 0.4972 0.690471
7 to 11 141469 -1.4926 0.067765
6 to 10 141560 -1.1842 0.118173
5 to 9 142433 1.7752 0.962064
4 to 8 141856 -0.1808 0.428270
3 to 7 142003 0.3175 0.624578
2 to 6 142264 1.2023 0.885371
1 to 5 141807 -0.3469 0.364340
-----------------------------------------------------------------
DNA test for dh-ranFile-2018-06-22_06:31
Bits used No. missing words z-score p-value
31 to 32 141521 -1.1455 0.125998
30 to 31 142608 2.0610 0.980347
29 to 30 141861 -0.1426 0.443316
28 to 29 141740 -0.4995 0.308714
27 to 28 141793 -0.3432 0.365740
26 to 27 141981 0.2114 0.583719
25 to 26 142134 0.6627 0.746253
24 to 25 142178 0.7925 0.785976
23 to 24 141994 0.2498 0.598615
22 to 23 142535 1.8456 0.967527
21 to 22 141865 -0.1308 0.447980
20 to 21 141338 -1.6853 0.045962
19 to 20 142703 2.3412 0.990389
18 to 19 141883 -0.0777 0.469045
17 to 18 141950 0.1200 0.547747
16 to 17 142280 1.0934 0.862896
15 to 16 141672 -0.7001 0.241936
14 to 15 142423 1.5153 0.935146
13 to 14 141600 -0.9125 0.180759
12 to 13 141923 0.0403 0.516083
11 to 12 142161 0.7424 0.771074
10 to 11 142252 1.0108 0.843950
9 to 10 142131 0.6539 0.743410
8 to 9 142089 0.5300 0.701944
7 to 8 141848 -0.1809 0.428217
6 to 7 142134 0.6627 0.746253
5 to 6 142220 0.9164 0.820280
4 to 5 141298 -1.8033 0.035668
3 to 4 141731 -0.5260 0.299428
2 to 3 142414 1.4887 0.931717
1 to 2 141661 -0.7325 0.231921
-----------------------------------------------------------------
Test result COUNT-THE-1's in bytes for dh-ranFile-2018-06-22_06:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 2560000)
chisquare z-score p-value
2441.15 -0.832 0.202637
Test results for specific bytes for dh-ranFile-2018-06-22_06:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 256000)
bits used chisquare z-score p-value
1 to 8 2561.19 0.865 0.806579
2 to 9 2542.83 0.606 0.727634
3 to 10 2327.25 -2.443 0.007283
4 to 11 2478.89 -0.299 0.382625
5 to 12 2572.96 1.032 0.848929
6 to 13 2547.15 0.667 0.747534
7 to 14 2531.73 0.449 0.673188
8 to 15 2448.65 -0.726 0.233857
9 to 16 2579.26 1.121 0.868838
10 to 17 2433.24 -0.944 0.172559
11 to 18 2551.33 0.726 0.766071
12 to 19 2566.36 0.938 0.825994
13 to 20 2544.75 0.633 0.736582
14 to 21 2360.14 -1.978 0.023970
15 to 22 2472.11 -0.394 0.346608
16 to 23 2522.03 0.312 0.622333
17 to 24 2400.06 -1.413 0.078771
18 to 25 2579.40 1.123 0.869252
19 to 26 2574.56 1.054 0.854149
20 to 27 2561.75 0.873 0.808760
21 to 28 2619.71 1.693 0.954768
22 to 29 2528.55 0.404 0.656819
23 to 30 2430.02 -0.990 0.161161
24 to 31 2477.24 -0.322 0.373788
25 to 32 2478.87 -0.299 0.382554
CDPARK for dh-ranFile-2018-06-22_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
3527 0.1826 0.572463
3526 0.1370 0.554479
3500 -1.0502 0.146807
3498 -1.1416 0.126820
3517 -0.2740 0.392053
3498 -1.1416 0.126820
3527 0.1826 0.572463
3529 0.2740 0.607947
3513 -0.4566 0.323972
3547 1.0959 0.863437
Square side=100, avg. no. parked=3518.20 sample std.=15.29
p-value of the KSTEST for those 10 p-values: 0.508656
Results for the MINIMUM DISTANCE test for dh-ranFile-2018-06-22_06:31
0.5045,0.4403,0.1854,0.1461,0.7190,0.2267,0.1814,0.7058,0.3340,0.5777,
The KS test for those 10 p-values: 0.320053
The 3DSPHERES test for dh-ranFile-2018-06-22_06:31
sample no r^3 equiv. uni.
1 50.880 0.816586
2 38.192 0.720031
3 34.345 0.681719
4 5.015 0.153935
5 11.191 0.311350
6 22.218 0.523172
7 6.915 0.205872
8 46.299 0.786325
9 1.711 0.055427
10 27.843 0.604690
11 34.989 0.688479
12 30.441 0.637492
13 19.810 0.483329
14 25.357 0.570542
15 13.474 0.361817
16 17.211 0.436571
17 155.818 0.994450
18 5.291 0.161676
19 34.635 0.684785
20 29.896 0.630844
--------------------------------------------------------------
p-value for KS test on those 20 p-values: 0.544600
RESULTS OF SQUEEZE TEST FOR dh-ranFile-2018-06-22_06:31
Table of standardized frequency counts
(obs-exp)^2/exp for j=(1,..,6), 7,...,47,(48,...)
-1.5 -0.7 -0.6 0.5 -1.3 0.4
-1.9 0.2 1.1 -0.0 0.4 -0.7
-0.7 -1.7 -0.2 1.8 -0.1 -1.5
0.1 -1.1 -0.2 1.4 0.8 0.8
0.7 1.4 -0.6 1.0 0.4 -1.7
0.9 0.3 -0.4 0.4 0.3 -1.4
0.0 -0.7 0.5 -0.1 0.9 1.0
-0.1
Chi-square with 42 degrees of freedom:36.749117
z-score=-0.572918, p-value=0.299758
_____________________________________________________________
Results of the OSUM test for dh-ranFile-2018-06-22_06:31
Test no p-value
1 0.856169
2 0.002399
3 0.106383
4 0.044525
5 0.727895
6 0.143102
7 0.065160
8 0.014145
9 0.627394
10 0.202669
_____________________________________________________________
p-value for 10 kstests on 100 sums: 0.003595
Test for lengths of runs up and runs down, 100,000 each for dh-ranFile-2018-06-22_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 66698 0.01 66393 1.12
3 25000.00 25040 0.06 25282 3.18
4 6666.67 6579 1.15 6588 0.93
5 1388.89 1399 0.07 1479 5.85
6 238.10 248 0.41 219 1.53
7 34.72 26 2.19 33 0.09
8 4.96 9 3.29 5 0.00
p=0.69707 p=0.95187
Number of rngs required: 688567, p-value: 0.575
RESULTS OF CRAPS TEST for dh-ranFile-2018-06-22_06:31
No. of wins: Observed Expected
98618 98585.9
z-score= 0.144, pvalue=0.55715
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66850 66666.7 0.504 0.504
2 37761 37654.3 0.302 0.806
3 26677 26954.7 2.862 3.668
4 19239 19313.5 0.287 3.955
5 13755 13851.4 0.671 4.626
6 10034 9943.5 0.823 5.449
7 7329 7145.0 4.737 10.186
8 5160 5139.1 0.085 10.272
9 3608 3699.9 2.281 12.552
10 2642 2666.3 0.221 12.774
11 1882 1923.3 0.888 13.662
12 1377 1388.7 0.099 13.761
13 1007 1003.7 0.011 13.772
14 692 726.1 1.605 15.377
15 553 525.8 1.403 16.780
16 385 381.2 0.039 16.819
17 308 276.5 3.579 20.398
18 178 200.8 2.595 22.994
19 167 146.0 3.025 26.019
20 105 106.2 0.014 26.033
21 291 287.1 0.053 26.086
Chisq= 26.09 for 20 degrees of freedom, p= 0.83699
SUMMARY of craptest
p-value for no. of wins: 0.557153
p-value for throws/game: 0.836994
_____________________________________________________________
RESULTS OF CRAPS TEST2 for dh-ranFile-2018-06-22_06:31
No. of wins: Observed Expected
98312 98585.9
z-score=-1.225, pvalue=0.11031
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66372 66666.7 1.302 1.302
2 37843 37654.3 0.945 2.248
3 27171 26954.7 1.735 3.983
4 19213 19313.5 0.523 4.506
5 14105 13851.4 4.642 9.148
6 9827 9943.5 1.366 10.514
7 6970 7145.0 4.287 14.801
8 5135 5139.1 0.003 14.805
9 3764 3699.9 1.112 15.916
10 2671 2666.3 0.008 15.925
11 1886 1923.3 0.725 16.649
12 1375 1388.7 0.136 16.785
13 995 1003.7 0.076 16.861
14 728 726.1 0.005 16.865
15 530 525.8 0.033 16.898
16 391 381.2 0.255 17.153
17 255 276.5 1.678 18.831
18 208 200.8 0.256 19.087
19 153 146.0 0.337 19.424
20 93 106.2 1.644 21.068
21 315 287.1 2.708 23.776
Chisq= 23.78 for 20 degrees of freedom, p= 0.74771
SUMMARY of craptest
p-value for no. of wins: 0.110315
p-value for throws/game: 0.747708
_____________________________________________________________
***** TEST SUMMARY *****
All p-values:
0.0024,0.0030,0.0036,0.0073,0.0141,0.0240,0.0342,0.0357,0.0384,0.0445,
0.0460,0.0554,0.0623,0.0628,0.0652,0.0678,0.0714,0.0788,0.0796,0.0827,
0.0931,0.0940,0.0943,0.0956,0.1006,0.1039,0.1064,0.1103,0.1171,0.1182,
0.1184,0.1189,0.1204,0.1260,0.1265,0.1268,0.1268,0.1351,0.1431,0.1457,
0.1461,0.1468,0.1527,0.1539,0.1612,0.1617,0.1726,0.1756,0.1808,0.1814,
0.1854,0.1859,0.1868,0.2026,0.2027,0.2059,0.2093,0.2133,0.2209,0.2267,
0.2308,0.2319,0.2339,0.2363,0.2419,0.2466,0.2475,0.2529,0.2569,0.2590,
0.2594,0.2607,0.2631,0.2657,0.2660,0.2664,0.2670,0.2739,0.2817,0.2905,
0.2960,0.2994,0.2998,0.3001,0.3009,0.3027,0.3087,0.3114,0.3171,0.3201,
0.3204,0.3208,0.3240,0.3340,0.3440,0.3466,0.3518,0.3604,0.3618,0.3643,
0.3657,0.3738,0.3746,0.3764,0.3826,0.3826,0.3855,0.3891,0.3896,0.3921,
0.4228,0.4282,0.4283,0.4366,0.4381,0.4403,0.4433,0.4466,0.4480,0.4578,
0.4615,0.4685,0.4690,0.4690,0.4803,0.4833,0.4913,0.5045,0.5086,0.5087,
0.5139,0.5161,0.5210,0.5232,0.5298,0.5345,0.5360,0.5418,0.5446,0.5448,
0.5476,0.5477,0.5513,0.5545,0.5572,0.5661,0.5694,0.5705,0.5725,0.5725,
0.5748,0.5777,0.5829,0.5837,0.5986,0.6047,0.6079,0.6142,0.6164,0.6181,
0.6199,0.6200,0.6214,0.6223,0.6246,0.6253,0.6259,0.6274,0.6307,0.6308,
0.6347,0.6375,0.6383,0.6385,0.6412,0.6489,0.6568,0.6601,0.6694,0.6711,
0.6732,0.6804,0.6809,0.6817,0.6824,0.6848,0.6885,0.6899,0.6905,0.6940,
0.6944,0.6964,0.6971,0.7019,0.7058,0.7090,0.7182,0.7190,0.7200,0.7265,
0.7276,0.7279,0.7296,0.7366,0.7434,0.7463,0.7463,0.7475,0.7477,0.7572,
0.7581,0.7586,0.7661,0.7690,0.7711,0.7785,0.7860,0.7863,0.7939,0.8045,
0.8066,0.8068,0.8088,0.8120,0.8162,0.8166,0.8203,0.8260,0.8327,0.8366,
0.8370,0.8378,0.8440,0.8475,0.8489,0.8518,0.8537,0.8541,0.8562,0.8571,
0.8615,0.8629,0.8634,0.8688,0.8693,0.8765,0.8854,0.8865,0.8984,0.9017,
0.9092,0.9155,0.9187,0.9308,0.9317,0.9325,0.9351,0.9376,0.9487,0.9519,
0.9548,0.9557,0.9621,0.9675,0.9757,0.9803,0.9896,0.9904,0.9944,
Overall p-value after applying KStest on 269 p-values = 0.709495
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.