RESULTS OF BIRTHDAY SPACINGS FOR dh-ranFile-2018-07-03_21:31
(no_bdays=1024, no_days/yr=2^24, lambda=16.00, sample size=500)
Bits used mean chisqr p-value
1 to 24 15.61 19.8806 0.719617
2 to 25 15.57 19.8872 0.719958
3 to 26 15.79 18.1473 0.620397
4 to 27 15.64 19.8498 0.718016
5 to 28 15.79 25.2938 0.911677
6 to 29 15.85 22.9940 0.850555
7 to 30 15.83 19.6949 0.709870
8 to 31 15.55 16.0061 0.476595
9 to 32 15.80 11.1201 0.149745
Chisquare degrees of freedom: 17
---------------------------------------------------------------
p-value for KStest on those 9 p-values: 0.117757
Tough bday spacings test for dh-ranFile-2018-07-03_21:31: 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 33 71 98 101 94 48 27 13 2 5
(O-E)^2/E 0.1 0.4 0.1 0.0 0.1 3.2 0.3 0.3 0.2 3.2 0.2
Birthday Spacings: Sum(O-E)^2/E= 8.159, p= 0.387
RESULTS OF GCD FOR dh-ranFile-2018-07-03_21:31
Euclid's algorithm:
p-value, steps to gcd: 0.759169
p-value, dist. of gcd's: 0.680807
Gorilla test for 2^26 bits, positions 0 to 31 for dh-ranFile-2018-07-03_21:31:
Note: lengthy test---for example, ~20 minutes for 850MHz PC
Bits 0 to 7---> 0.510 0.477 0.265 0.944 0.638 0.632 0.199 0.562
Bits 8 to 15---> 0.640 0.543 0.361 0.612 0.104 0.715 0.038 0.285
Bits 16 to 23---> 0.670 0.664 0.118 0.388 0.337 0.283 0.225 0.322
Bits 24 to 31---> 0.673 0.724 0.575 0.588 0.082 0.447 0.716 0.526
KS test for the above 32 p values: 0.840
The OPERM5 test for 10 million (overlapping) 5-tuples for dh-ranFile-2018-07-03_21:31,
p-values for 5 runs: 0.3965, 0.6270, 0.8478, 0.2859, 0.1304
Rank test for binary matrices (31x31) for dh-ranFile-2018-07-03_21:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=28 204 211.4 0.260 0.260
r= 29 5184 5134.0 0.487 0.747
r= 30 23249 23103.0 0.922 1.669
r= 31 11363 11551.5 3.077 4.746
chi-square = 4.746 with df = 3; p-value = 0.809
--------------------------------------------------------------
Rank test for binary matrices (32x32) for dh-ranFile-2018-07-03_21:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=29 191 211.4 1.972 1.972
r= 30 5005 5134.0 3.242 5.214
r= 31 23308 23103.0 1.818 7.032
r= 32 11496 11551.5 0.267 7.299
chi-square = 7.299 with df = 3; p-value = 0.937
--------------------------------------------------------------
Rank test for binary matrices (6x8) for dh-ranFile-2018-07-03_21:31
b-rank test for bits 1 to 8, p=0.59798
b-rank test for bits 2 to 9, p=0.74088
b-rank test for bits 3 to 10, p=0.22809
b-rank test for bits 4 to 11, p=0.86860
b-rank test for bits 5 to 12, p=0.07672
b-rank test for bits 6 to 13, p=0.19798
b-rank test for bits 7 to 14, p=0.15958
b-rank test for bits 8 to 15, p=0.49734
b-rank test for bits 9 to 16, p=0.45244
b-rank test for bits 10 to 17, p=0.25252
b-rank test for bits 11 to 18, p=0.40281
b-rank test for bits 12 to 19, p=0.64743
b-rank test for bits 13 to 20, p=0.61294
b-rank test for bits 14 to 21, p=0.53254
b-rank test for bits 15 to 22, p=0.98126
b-rank test for bits 16 to 23, p=0.41008
b-rank test for bits 17 to 24, p=0.51202
b-rank test for bits 18 to 25, p=0.46296
b-rank test for bits 19 to 26, p=0.68505
b-rank test for bits 20 to 27, p=0.33631
b-rank test for bits 21 to 28, p=0.09706
b-rank test for bits 22 to 29, p=0.13548
b-rank test for bits 23 to 30, p=0.08521
b-rank test for bits 24 to 31, p=0.47656
b-rank test for bits 25 to 32, p=0.36537
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 = 0.257269
THE OVERLAPPING 20-TUPLES BITSTREAM TEST for dh-ranFile-2018-07-03_21:31
(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 142651 1.73 0.958441
2 142286 0.88 0.810589
3 141727 -0.43 0.335052
4 141934 0.06 0.522982
5 141310 -1.40 0.080711
6 141383 -1.23 0.109397
7 141426 -1.13 0.129391
8 141350 -1.31 0.095633
9 141871 -0.09 0.464320
10 142656 1.74 0.959469
11 141960 0.12 0.547120
12 142074 0.38 0.649786
13 141999 0.21 0.582975
14 141534 -0.88 0.190260
15 141602 -0.72 0.236360
16 141914 0.01 0.504353
17 141502 -0.95 0.170623
18 142437 1.23 0.891189
19 142046 0.32 0.625259
20 141998 0.21 0.582063
----------------------------------------------------------------
OPSO test for dh-ranFile-2018-07-03_21:31
Bits used No. missing words z-score p-value
23 to 32 142019 0.3782 0.647349
22 to 31 141895 -0.0494 0.480295
21 to 30 141433 -1.6425 0.050241
20 to 29 141881 -0.0977 0.461089
19 to 28 142075 0.5713 0.716094
18 to 27 141562 -1.1977 0.115519
17 to 26 141457 -1.5598 0.059408
16 to 25 142015 0.3644 0.642213
15 to 24 142081 0.5920 0.723063
14 to 23 141824 -0.2942 0.384287
13 to 22 142205 1.0196 0.846029
12 to 21 142526 2.1264 0.983267
11 to 20 142071 0.5575 0.711401
10 to 19 142201 1.0058 0.842734
9 to 18 141890 -0.0667 0.473428
8 to 17 142315 1.3989 0.919073
7 to 16 141861 -0.1667 0.433821
6 to 15 141410 -1.7218 0.042550
5 to 14 141574 -1.1563 0.123777
4 to 13 141625 -0.9804 0.163432
3 to 12 141727 -0.6287 0.264765
2 to 11 142150 0.8299 0.796701
1 to 10 141989 0.2747 0.608236
-----------------------------------------------------------------
OQSO test for dh-ranFile-2018-07-03_21:31
Bits used No. missing words z-score p-value
28 to 32 142224 1.0667 0.856941
27 to 31 142058 0.5040 0.692857
26 to 30 141991 0.2768 0.609051
25 to 29 141919 0.0328 0.513075
24 to 28 141490 -1.4215 0.077592
23 to 27 142367 1.5514 0.939600
22 to 26 142059 0.5074 0.694048
21 to 25 141838 -0.2418 0.404469
20 to 24 142075 0.5616 0.712803
19 to 23 141756 -0.5198 0.301615
18 to 22 141907 -0.0079 0.496849
17 to 21 141786 -0.4181 0.337949
16 to 20 141943 0.1141 0.545435
15 to 19 141777 -0.4486 0.326869
14 to 18 142049 0.4735 0.682057
13 to 17 142032 0.4158 0.661233
12 to 16 142069 0.5413 0.705834
11 to 15 142301 1.3277 0.907861
10 to 14 141836 -0.2486 0.401844
9 to 13 141757 -0.5164 0.302797
8 to 12 142075 0.5616 0.712803
7 to 11 141899 -0.0350 0.486033
6 to 10 141610 -1.0147 0.155130
5 to 9 141163 -2.5299 0.005704
4 to 8 141372 -1.8215 0.034269
3 to 7 141844 -0.2215 0.412368
2 to 6 142233 1.0972 0.863720
1 to 5 141855 -0.1842 0.426940
-----------------------------------------------------------------
DNA test for dh-ranFile-2018-07-03_21:31
Bits used No. missing words z-score p-value
31 to 32 141885 -0.0718 0.471393
30 to 31 141523 -1.1396 0.127223
29 to 30 141602 -0.9066 0.182315
28 to 29 141332 -1.7030 0.044280
27 to 28 141381 -1.5585 0.059558
26 to 27 142239 0.9725 0.834594
25 to 26 142239 0.9725 0.834594
24 to 25 141953 0.1288 0.551250
23 to 24 141723 -0.5496 0.291281
22 to 23 141712 -0.5821 0.280252
21 to 22 141849 -0.1780 0.429375
20 to 21 142520 1.8014 0.964179
19 to 20 141867 -0.1249 0.450314
18 to 19 141774 -0.3992 0.344872
17 to 18 141523 -1.1396 0.127223
16 to 17 141772 -0.4051 0.342701
15 to 16 142379 1.3855 0.917044
14 to 15 142578 1.9725 0.975722
13 to 14 142113 0.6008 0.726012
12 to 13 141543 -1.0806 0.139933
11 to 12 142218 0.9105 0.818729
10 to 11 141830 -0.2340 0.407488
9 to 10 142272 1.0698 0.857651
8 to 9 142706 2.3501 0.990615
7 to 8 142348 1.2940 0.902169
6 to 7 141916 0.0197 0.507849
5 to 6 141272 -1.8800 0.030052
4 to 5 142594 2.0197 0.978291
3 to 4 141208 -2.0688 0.019281
2 to 3 141044 -2.5526 0.005346
1 to 2 141872 -0.1101 0.456158
-----------------------------------------------------------------
Test result COUNT-THE-1's in bytes for dh-ranFile-2018-07-03_21:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 2560000)
chisquare z-score p-value
2524.10 0.341 0.633375
Test results for specific bytes for dh-ranFile-2018-07-03_21:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 256000)
bits used chisquare z-score p-value
1 to 8 2308.61 -2.707 0.003398
2 to 9 2622.30 1.730 0.958143
3 to 10 2482.23 -0.251 0.400815
4 to 11 2530.95 0.438 0.669182
5 to 12 2435.28 -0.915 0.180017
6 to 13 2450.66 -0.698 0.242665
7 to 14 2534.72 0.491 0.688299
8 to 15 2485.58 -0.204 0.419232
9 to 16 2642.37 2.013 0.977964
10 to 17 2618.92 1.682 0.953699
11 to 18 2481.49 -0.262 0.396733
12 to 19 2459.70 -0.570 0.284382
13 to 20 2444.13 -0.790 0.214745
14 to 21 2584.78 1.199 0.884743
15 to 22 2482.55 -0.247 0.402560
16 to 23 2477.83 -0.313 0.376951
17 to 24 2446.10 -0.762 0.222941
18 to 25 2623.53 1.747 0.959678
19 to 26 2489.60 -0.147 0.441539
20 to 27 2482.82 -0.243 0.404035
21 to 28 2565.70 0.929 0.823579
22 to 29 2647.05 2.080 0.981221
23 to 30 2402.72 -1.376 0.084451
24 to 31 2457.15 -0.606 0.272273
25 to 32 2461.73 -0.541 0.294162
CDPARK for dh-ranFile-2018-07-03_21:31: 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
3535 0.5479 0.708135
3502 -0.9589 0.168804
3504 -0.8676 0.192812
3508 -0.6849 0.246694
3527 0.1826 0.572463
3537 0.6393 0.738676
3547 1.0959 0.863437
3518 -0.2283 0.409702
3502 -0.9589 0.168804
3495 -1.2785 0.100530
Square side=100, avg. no. parked=3517.50 sample std.=17.05
p-value of the KSTEST for those 10 p-values: 0.516271
Results for the MINIMUM DISTANCE test for dh-ranFile-2018-07-03_21:31
0.6115,0.4199,0.3300,0.4404,0.4325,0.7913,0.3205,0.9217,0.6957,0.7209,
The KS test for those 10 p-values: 0.405045
The 3DSPHERES test for dh-ranFile-2018-07-03_21:31
sample no r^3 equiv. uni.
1 107.593 0.972303
2 7.295 0.215857
3 32.193 0.658055
4 2.733 0.087073
5 50.197 0.812361
6 10.685 0.299650
7 13.238 0.356779
8 4.925 0.151413
9 12.529 0.341407
10 71.621 0.908128
11 59.023 0.860187
12 51.701 0.821533
13 19.961 0.485920
14 65.190 0.886164
15 36.980 0.708490
16 0.605 0.019967
17 81.218 0.933280
18 0.113 0.003774
19 34.170 0.679857
20 3.137 0.099275
--------------------------------------------------------------
p-value for KS test on those 20 p-values: 0.510421
RESULTS OF SQUEEZE TEST FOR dh-ranFile-2018-07-03_21:31
Table of standardized frequency counts
(obs-exp)^2/exp for j=(1,..,6), 7,...,47,(48,...)
1.3 0.1 -2.0 1.2 0.1 -0.6
-0.3 -0.8 -0.4 -0.3 -0.3 1.0
0.1 1.6 -0.7 -0.8 0.4 0.2
1.7 0.9 -0.8 -0.6 -0.4 -0.5
-0.5 -1.1 -1.4 0.1 1.8 1.0
0.4 -1.7 -1.1 -0.8 1.5 -1.6
1.4 2.1 -0.8 -0.7 -0.6 0.0
-1.1
Chi-square with 42 degrees of freedom:45.176803
z-score=0.346618, p-value=0.659324
_____________________________________________________________
Results of the OSUM test for dh-ranFile-2018-07-03_21:31
Test no p-value
1 0.630719
2 0.536291
3 0.081685
4 0.087478
5 0.035919
6 0.000543
7 0.350633
8 0.680042
9 0.333749
10 0.192527
_____________________________________________________________
p-value for 10 kstests on 100 sums: 0.021167
Test for lengths of runs up and runs down, 100,000 each for dh-ranFile-2018-07-03_21:31:
(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 66715 0.04 66559 0.17
3 25000.00 24967 0.04 25053 0.11
4 6666.67 6678 0.02 6692 0.10
5 1388.89 1350 1.09 1406 0.21
6 238.10 250 0.60 246 0.26
7 34.72 36 0.05 35 0.00
8 4.96 3 0.77 8 1.86
p=0.14332 p=0.15706
Number of rngs required: 687737, p-value: 0.221
RESULTS OF CRAPS TEST for dh-ranFile-2018-07-03_21:31
No. of wins: Observed Expected
98400 98585.9
z-score=-0.831, pvalue=0.20291
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66100 66666.7 4.817 4.817
2 38084 37654.3 4.903 9.720
3 26906 26954.7 0.088 9.808
4 19334 19313.5 0.022 9.830
5 13775 13851.4 0.422 10.251
6 10108 9943.5 2.720 12.971
7 7125 7145.0 0.056 13.027
8 5135 5139.1 0.003 13.031
9 3763 3699.9 1.077 14.108
10 2685 2666.3 0.131 14.239
11 2003 1923.3 3.300 17.539
12 1328 1388.7 2.657 20.196
13 998 1003.7 0.033 20.229
14 787 726.1 5.101 25.329
15 485 525.8 3.171 28.501
16 378 381.2 0.026 28.527
17 297 276.5 1.514 30.041
18 192 200.8 0.388 30.429
19 149 146.0 0.062 30.491
20 102 106.2 0.167 30.658
21 266 287.1 1.553 32.211
Chisq= 32.21 for 20 degrees of freedom, p= 0.95890
SUMMARY of craptest
p-value for no. of wins: 0.202911
p-value for throws/game: 0.958899
_____________________________________________________________
RESULTS OF CRAPS TEST2 for dh-ranFile-2018-07-03_21:31
No. of wins: Observed Expected
98329 98585.9
z-score=-1.149, pvalue=0.12531
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66336 66666.7 1.640 1.640
2 37925 37654.3 1.946 3.586
3 27068 26954.7 0.476 4.062
4 19273 19313.5 0.085 4.147
5 13957 13851.4 0.805 4.951
6 9827 9943.5 1.366 6.317
7 7158 7145.0 0.024 6.341
8 5178 5139.1 0.295 6.636
9 3666 3699.9 0.310 6.946
10 2700 2666.3 0.426 7.372
11 1907 1923.3 0.139 7.510
12 1423 1388.7 0.845 8.356
13 978 1003.7 0.659 9.014
14 711 726.1 0.316 9.330
15 520 525.8 0.065 9.395
16 365 381.2 0.684 10.079
17 286 276.5 0.324 10.403
18 190 200.8 0.584 10.987
19 130 146.0 1.750 12.737
20 98 106.2 0.635 13.372
21 304 287.1 0.993 14.366
Chisq= 14.37 for 20 degrees of freedom, p= 0.18851
SUMMARY of craptest
p-value for no. of wins: 0.125315
p-value for throws/game: 0.188511
_____________________________________________________________
***** TEST SUMMARY *****
All p-values:
0.0005,0.0034,0.0038,0.0053,0.0057,0.0193,0.0200,0.0212,0.0301,0.0343,
0.0359,0.0378,0.0426,0.0443,0.0502,0.0594,0.0596,0.0767,0.0776,0.0807,
0.0817,0.0818,0.0845,0.0852,0.0871,0.0875,0.0956,0.0971,0.0993,0.1005,
0.1043,0.1094,0.1155,0.1175,0.1178,0.1238,0.1253,0.1272,0.1272,0.1294,
0.1304,0.1355,0.1399,0.1433,0.1497,0.1514,0.1551,0.1571,0.1596,0.1634,
0.1688,0.1688,0.1706,0.1800,0.1823,0.1885,0.1903,0.1925,0.1928,0.1980,
0.1989,0.2029,0.2147,0.2159,0.2208,0.2229,0.2247,0.2281,0.2364,0.2427,
0.2467,0.2525,0.2573,0.2648,0.2653,0.2723,0.2803,0.2826,0.2844,0.2855,
0.2859,0.2913,0.2942,0.2997,0.3016,0.3028,0.3205,0.3224,0.3269,0.3300,
0.3337,0.3351,0.3363,0.3367,0.3379,0.3414,0.3427,0.3449,0.3506,0.3568,
0.3605,0.3654,0.3770,0.3843,0.3867,0.3879,0.3965,0.3967,0.4008,0.4018,
0.4026,0.4028,0.4040,0.4045,0.4050,0.4075,0.4097,0.4101,0.4124,0.4192,
0.4199,0.4269,0.4294,0.4325,0.4338,0.4404,0.4415,0.4469,0.4503,0.4524,
0.4562,0.4611,0.4630,0.4643,0.4714,0.4734,0.4766,0.4766,0.4770,0.4803,
0.4859,0.4860,0.4968,0.4973,0.5044,0.5078,0.5100,0.5104,0.5120,0.5131,
0.5163,0.5230,0.5264,0.5325,0.5363,0.5432,0.5454,0.5471,0.5513,0.5622,
0.5725,0.5753,0.5821,0.5830,0.5879,0.5980,0.6082,0.6091,0.6115,0.6120,
0.6129,0.6204,0.6253,0.6270,0.6307,0.6317,0.6334,0.6382,0.6398,0.6422,
0.6473,0.6474,0.6498,0.6581,0.6593,0.6612,0.6638,0.6692,0.6702,0.6728,
0.6799,0.6800,0.6808,0.6821,0.6851,0.6883,0.6929,0.6940,0.6957,0.7058,
0.7081,0.7085,0.7099,0.7114,0.7128,0.7128,0.7150,0.7158,0.7161,0.7180,
0.7196,0.7200,0.7209,0.7231,0.7241,0.7260,0.7387,0.7409,0.7592,0.7913,
0.7967,0.8086,0.8106,0.8124,0.8187,0.8215,0.8236,0.8346,0.8346,0.8404,
0.8427,0.8460,0.8478,0.8506,0.8569,0.8577,0.8602,0.8634,0.8637,0.8686,
0.8847,0.8862,0.8912,0.9022,0.9079,0.9081,0.9117,0.9170,0.9191,0.9217,
0.9333,0.9370,0.9396,0.9442,0.9537,0.9581,0.9584,0.9589,0.9595,0.9597,
0.9642,0.9723,0.9757,0.9780,0.9783,0.9812,0.9813,0.9833,0.9906,
Overall p-value after applying KStest on 269 p-values = 0.394880
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.