RESULTS OF BIRTHDAY SPACINGS FOR dh-ranFile-2018-07-10_03:31
(no_bdays=1024, no_days/yr=2^24, lambda=16.00, sample size=500)
Bits used mean chisqr p-value
1 to 24 15.67 19.8921 0.720215
2 to 25 15.78 18.0696 0.615534
3 to 26 15.64 12.3650 0.222452
4 to 27 15.56 26.9304 0.940903
5 to 28 15.80 12.7235 0.245508
6 to 29 15.94 20.0303 0.727316
7 to 30 15.76 23.2262 0.857971
8 to 31 15.93 12.5553 0.234589
9 to 32 15.91 17.3360 0.568162
Chisquare degrees of freedom: 17
---------------------------------------------------------------
p-value for KStest on those 9 p-values: 0.672516
Tough bday spacings test for dh-ranFile-2018-07-10_03:31: 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 71 95 106 85 52 31 12 5 4
(O-E)^2/E 0.0 1.2 0.1 0.1 0.7 0.6 0.0 0.1 0.6 0.4 0.0
Birthday Spacings: Sum(O-E)^2/E= 3.662, p= 0.039
RESULTS OF GCD FOR dh-ranFile-2018-07-10_03:31
Euclid's algorithm:
p-value, steps to gcd: 0.705662
p-value, dist. of gcd's: 0.202863
Gorilla test for 2^26 bits, positions 0 to 31 for dh-ranFile-2018-07-10_03:31:
Note: lengthy test---for example, ~20 minutes for 850MHz PC
Bits 0 to 7---> 0.272 0.479 0.628 0.125 0.026 0.164 0.065 0.830
Bits 8 to 15---> 0.865 0.376 0.429 0.080 0.665 0.707 0.071 0.459
Bits 16 to 23---> 0.791 0.430 0.569 0.177 0.241 0.496 0.800 0.992
Bits 24 to 31---> 0.248 0.794 0.868 0.699 0.639 0.083 0.460 0.778
KS test for the above 32 p values: 0.135
The OPERM5 test for 10 million (overlapping) 5-tuples for dh-ranFile-2018-07-10_03:31,
p-values for 5 runs: 0.2142, 0.5510, 0.8977, 0.0585, 0.9347
Rank test for binary matrices (31x31) for dh-ranFile-2018-07-10_03:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=28 241 211.4 4.139 4.139
r= 29 5110 5134.0 0.112 4.251
r= 30 23030 23103.0 0.231 4.482
r= 31 11619 11551.5 0.394 4.877
chi-square = 4.877 with df = 3; p-value = 0.819
--------------------------------------------------------------
Rank test for binary matrices (32x32) for dh-ranFile-2018-07-10_03:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=29 204 211.4 0.260 0.260
r= 30 5060 5134.0 1.067 1.327
r= 31 23055 23103.0 0.100 1.427
r= 32 11681 11551.5 1.451 2.878
chi-square = 2.878 with df = 3; p-value = 0.589
--------------------------------------------------------------
Rank test for binary matrices (6x8) for dh-ranFile-2018-07-10_03:31
b-rank test for bits 1 to 8, p=0.48595
b-rank test for bits 2 to 9, p=0.31796
b-rank test for bits 3 to 10, p=0.70130
b-rank test for bits 4 to 11, p=0.56287
b-rank test for bits 5 to 12, p=0.71987
b-rank test for bits 6 to 13, p=0.87460
b-rank test for bits 7 to 14, p=0.35820
b-rank test for bits 8 to 15, p=0.51733
b-rank test for bits 9 to 16, p=0.91721
b-rank test for bits 10 to 17, p=0.16226
b-rank test for bits 11 to 18, p=0.99108
b-rank test for bits 12 to 19, p=0.20996
b-rank test for bits 13 to 20, p=0.89393
b-rank test for bits 14 to 21, p=0.33589
b-rank test for bits 15 to 22, p=0.68019
b-rank test for bits 16 to 23, p=0.57976
b-rank test for bits 17 to 24, p=0.00159
b-rank test for bits 18 to 25, p=0.93683
b-rank test for bits 19 to 26, p=0.74979
b-rank test for bits 20 to 27, p=0.40876
b-rank test for bits 21 to 28, p=0.27124
b-rank test for bits 22 to 29, p=0.09665
b-rank test for bits 23 to 30, p=0.51190
b-rank test for bits 24 to 31, p=0.00026
b-rank test for bits 25 to 32, p=0.36186
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 = 0.634733
THE OVERLAPPING 20-TUPLES BITSTREAM TEST for dh-ranFile-2018-07-10_03:31
(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 141328 -1.36 0.087193
2 142365 1.06 0.856483
3 142091 0.42 0.664386
4 141776 -0.31 0.377703
5 141660 -0.58 0.280099
6 142019 0.26 0.601117
7 142497 1.37 0.915133
8 141744 -0.39 0.349643
9 141751 -0.37 0.355717
10 141839 -0.16 0.434739
11 141800 -0.26 0.399190
12 142540 1.47 0.929696
13 142076 0.39 0.651516
14 142503 1.39 0.917291
15 141705 -0.48 0.316536
16 142027 0.27 0.608315
17 141606 -0.71 0.239251
18 142459 1.28 0.900477
19 141652 -0.60 0.273841
20 141147 -1.78 0.037444
----------------------------------------------------------------
OPSO test for dh-ranFile-2018-07-10_03:31
Bits used No. missing words z-score p-value
23 to 32 142237 1.1299 0.870740
22 to 31 141701 -0.7184 0.236262
21 to 30 141768 -0.4873 0.313007
20 to 29 142021 0.3851 0.649907
19 to 28 142059 0.5161 0.697109
18 to 27 141832 -0.2667 0.394867
17 to 26 141961 0.1782 0.570706
16 to 25 141341 -1.9598 0.025012
15 to 24 142204 1.0161 0.845210
14 to 23 142273 1.2540 0.895085
13 to 22 141898 -0.0391 0.484418
12 to 21 141189 -2.4839 0.006498
11 to 20 141631 -0.9598 0.168588
10 to 19 141539 -1.2770 0.100801
9 to 18 141683 -0.7804 0.217564
8 to 17 142039 0.4471 0.672612
7 to 16 141553 -1.2287 0.109588
6 to 15 141533 -1.2977 0.097197
5 to 14 141936 0.0920 0.536637
4 to 13 142420 1.7609 0.960875
3 to 12 141661 -0.8563 0.195913
2 to 11 141711 -0.6839 0.247020
1 to 10 142082 0.5954 0.724217
-----------------------------------------------------------------
OQSO test for dh-ranFile-2018-07-10_03:31
Bits used No. missing words z-score p-value
28 to 32 141932 0.0768 0.530628
27 to 31 142148 0.8091 0.790757
26 to 30 142085 0.5955 0.724243
25 to 29 141986 0.2599 0.602529
24 to 28 141262 -2.1943 0.014106
23 to 27 141871 -0.1299 0.448310
22 to 26 142032 0.4158 0.661233
21 to 25 141741 -0.5706 0.284132
20 to 24 142289 1.2870 0.900956
19 to 23 142274 1.2362 0.891802
18 to 22 141681 -0.7740 0.219465
17 to 21 141939 0.1006 0.540057
16 to 20 141727 -0.6181 0.268265
15 to 19 141707 -0.6859 0.246399
14 to 18 142183 0.9277 0.823217
13 to 17 142282 1.2633 0.896757
12 to 16 141971 0.2091 0.582796
11 to 15 142384 1.6091 0.946197
10 to 14 142125 0.7311 0.767636
9 to 13 142050 0.4768 0.683265
8 to 12 140991 -3.1130 0.000926
7 to 11 142151 0.8192 0.793670
6 to 10 141372 -1.8215 0.034269
5 to 9 142041 0.4463 0.672324
4 to 8 141904 -0.0181 0.492792
3 to 7 142113 0.6904 0.755031
2 to 6 141597 -1.0587 0.144858
1 to 5 142173 0.8938 0.814285
-----------------------------------------------------------------
DNA test for dh-ranFile-2018-07-10_03:31
Bits used No. missing words z-score p-value
31 to 32 141644 -0.7827 0.216906
30 to 31 141394 -1.5201 0.064237
29 to 30 141358 -1.6263 0.051938
28 to 29 141949 0.1170 0.546578
27 to 28 141739 -0.5024 0.307676
26 to 27 142056 0.4327 0.667367
25 to 26 142204 0.8692 0.807640
24 to 25 141493 -1.2281 0.109702
23 to 24 141905 -0.0128 0.494905
22 to 23 141617 -0.8623 0.194253
21 to 22 142645 2.1701 0.985001
20 to 21 141560 -1.0305 0.151394
19 to 20 141863 -0.1367 0.445647
18 to 19 141651 -0.7620 0.223019
17 to 18 141710 -0.5880 0.278268
16 to 17 141999 0.2645 0.604308
15 to 16 141758 -0.4464 0.327654
14 to 15 141945 0.1052 0.541900
13 to 14 142015 0.3117 0.622370
12 to 13 142414 1.4887 0.931717
11 to 12 141619 -0.8564 0.195880
10 to 11 141709 -0.5909 0.277279
9 to 10 141468 -1.3019 0.096482
8 to 9 142187 0.8191 0.793631
7 to 8 141949 0.1170 0.546578
6 to 7 141869 -0.1190 0.452651
5 to 6 141810 -0.2930 0.384758
4 to 5 142355 1.3147 0.905688
3 to 4 141346 -1.6617 0.048282
2 to 3 141732 -0.5231 0.300453
1 to 2 142333 1.2498 0.894307
-----------------------------------------------------------------
Test result COUNT-THE-1's in bytes for dh-ranFile-2018-07-10_03:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 2560000)
chisquare z-score p-value
2530.23 0.428 0.665518
Test results for specific bytes for dh-ranFile-2018-07-10_03:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 256000)
bits used chisquare z-score p-value
1 to 8 2418.71 -1.150 0.125160
2 to 9 2516.40 0.232 0.591694
3 to 10 2417.04 -1.173 0.120362
4 to 11 2381.83 -1.671 0.047343
5 to 12 2396.48 -1.464 0.071598
6 to 13 2498.30 -0.024 0.490398
7 to 14 2447.85 -0.737 0.230417
8 to 15 2454.80 -0.639 0.261361
9 to 16 2538.49 0.544 0.706914
10 to 17 2416.15 -1.186 0.117843
11 to 18 2587.54 1.238 0.892155
12 to 19 2507.66 0.108 0.543137
13 to 20 2428.12 -1.017 0.154672
14 to 21 2632.24 1.870 0.969272
15 to 22 2512.04 0.170 0.567601
16 to 23 2528.40 0.402 0.656018
17 to 24 2503.01 0.043 0.516961
18 to 25 2574.24 1.050 0.853134
19 to 26 2477.91 -0.312 0.377357
20 to 27 2646.27 2.069 0.980709
21 to 28 2467.95 -0.453 0.325190
22 to 29 2516.34 0.231 0.591358
23 to 30 2449.11 -0.720 0.235847
24 to 31 2406.62 -1.321 0.093314
25 to 32 2394.63 -1.490 0.068086
CDPARK for dh-ranFile-2018-07-10_03:31: 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
3520 -0.1370 0.445521
3541 0.8219 0.794438
3506 -0.7763 0.218799
3499 -1.0959 0.136563
3489 -1.5525 0.060270
3501 -1.0046 0.157553
3543 0.9132 0.819442
3511 -0.5479 0.291865
3508 -0.6849 0.246694
3539 0.7306 0.767486
Square side=100, avg. no. parked=3515.70 sample std.=18.25
p-value of the KSTEST for those 10 p-values: 0.330129
Results for the MINIMUM DISTANCE test for dh-ranFile-2018-07-10_03:31
0.4092,0.1402,0.1135,0.9701,0.7221,0.2766,0.1392,0.6153,0.9330,0.4883,
The KS test for those 10 p-values: 0.884482
The 3DSPHERES test for dh-ranFile-2018-07-10_03:31
sample no r^3 equiv. uni.
1 2.609 0.083298
2 2.671 0.085190
3 1.162 0.038006
4 13.387 0.359960
5 40.860 0.743848
6 1.739 0.056330
7 1.278 0.041696
8 21.498 0.511586
9 15.976 0.412879
10 33.204 0.669387
11 20.584 0.496488
12 18.383 0.458150
13 76.442 0.921766
14 43.641 0.766526
15 15.528 0.404047
16 19.383 0.475915
17 35.932 0.698123
18 1.363 0.044427
19 34.854 0.687078
20 38.113 0.719293
--------------------------------------------------------------
p-value for KS test on those 20 p-values: 0.209294
RESULTS OF SQUEEZE TEST FOR dh-ranFile-2018-07-10_03:31
Table of standardized frequency counts
(obs-exp)^2/exp for j=(1,..,6), 7,...,47,(48,...)
-1.5 -0.7 0.3 -0.1 0.6 -1.3
0.0 0.6 -1.5 0.1 -0.0 0.1
-1.9 -1.6 -0.3 -0.4 -0.6 1.1
-0.3 0.6 1.5 0.6 -0.4 1.7
0.4 0.6 -1.4 0.8 1.5 -0.3
0.2 0.5 0.9 0.0 0.6 -0.8
-0.2 0.2 -0.4 0.4 -0.6 0.0
-0.1
Chi-square with 42 degrees of freedom:29.748562
z-score=-1.336741, p-value=0.077824
_____________________________________________________________
Results of the OSUM test for dh-ranFile-2018-07-10_03:31
Test no p-value
1 0.835473
2 0.351974
3 0.238301
4 0.707106
5 0.856362
6 0.572943
7 0.235255
8 0.982257
9 0.438175
10 0.019265
_____________________________________________________________
p-value for 10 kstests on 100 sums: 0.963339
Test for lengths of runs up and runs down, 100,000 each for dh-ranFile-2018-07-10_03:31:
(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 67057 2.29 66472 0.57
3 25000.00 24790 1.76 25127 0.65
4 6666.67 6513 3.54 6761 1.33
5 1388.89 1326 2.85 1321 3.32
6 238.10 262 2.40 284 8.85
7 34.72 43 1.97 28 1.30
8 4.96 8 1.86 6 0.22
p=0.98945 p=0.98746
Number of rngs required: 689322, p-value: 0.857
RESULTS OF CRAPS TEST for dh-ranFile-2018-07-10_03:31
No. of wins: Observed Expected
99005 98585.9
z-score= 1.875, pvalue=0.96958
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66815 66666.7 0.330 0.330
2 37639 37654.3 0.006 0.336
3 26757 26954.7 1.451 1.787
4 19227 19313.5 0.387 2.174
5 13740 13851.4 0.896 3.070
6 9901 9943.5 0.182 3.252
7 7245 7145.0 1.399 4.651
8 5173 5139.1 0.224 4.875
9 3677 3699.9 0.141 5.016
10 2767 2666.3 3.803 8.820
11 1847 1923.3 3.029 11.849
12 1380 1388.7 0.055 11.904
13 1105 1003.7 10.221 22.125
14 799 726.1 7.311 29.435
15 551 525.8 1.204 30.639
16 403 381.2 1.253 31.892
17 269 276.5 0.206 32.097
18 194 200.8 0.232 32.330
19 134 146.0 0.984 33.314
20 93 106.2 1.644 34.958
21 284 287.1 0.034 34.992
Chisq= 34.99 for 20 degrees of freedom, p= 0.97985
SUMMARY of craptest
p-value for no. of wins: 0.969579
p-value for throws/game: 0.979851
_____________________________________________________________
RESULTS OF CRAPS TEST2 for dh-ranFile-2018-07-10_03:31
No. of wins: Observed Expected
98570 98585.9
z-score=-0.071, pvalue=0.47173
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66566 66666.7 0.152 0.152
2 37664 37654.3 0.002 0.154
3 27095 26954.7 0.730 0.884
4 19395 19313.5 0.344 1.229
5 13827 13851.4 0.043 1.272
6 10010 9943.5 0.444 1.716
7 7161 7145.0 0.036 1.752
8 5105 5139.1 0.226 1.977
9 3665 3699.9 0.329 2.306
10 2702 2666.3 0.478 2.784
11 1901 1923.3 0.259 3.043
12 1333 1388.7 2.237 5.281
13 987 1003.7 0.278 5.559
14 737 726.1 0.162 5.721
15 521 525.8 0.044 5.766
16 313 381.2 12.185 17.951
17 313 276.5 4.807 22.758
18 185 200.8 1.248 24.006
19 154 146.0 0.440 24.446
20 111 106.2 0.216 24.662
21 255 287.1 3.592 28.254
Chisq= 28.25 for 20 degrees of freedom, p= 0.89648
SUMMARY of craptest
p-value for no. of wins: 0.471727
p-value for throws/game: 0.896476
_____________________________________________________________
***** TEST SUMMARY *****
All p-values:
0.0003,0.0009,0.0016,0.0065,0.0141,0.0193,0.0250,0.0259,0.0343,0.0374,
0.0380,0.0387,0.0417,0.0444,0.0473,0.0483,0.0519,0.0563,0.0585,0.0603,
0.0642,0.0651,0.0681,0.0711,0.0716,0.0778,0.0803,0.0827,0.0833,0.0852,
0.0872,0.0933,0.0965,0.0967,0.0972,0.1008,0.1096,0.1097,0.1135,0.1178,
0.1204,0.1252,0.1255,0.1346,0.1366,0.1392,0.1402,0.1449,0.1514,0.1547,
0.1576,0.1623,0.1635,0.1686,0.1772,0.1943,0.1959,0.1959,0.2029,0.2093,
0.2100,0.2142,0.2169,0.2176,0.2188,0.2195,0.2225,0.2230,0.2304,0.2346,
0.2353,0.2358,0.2363,0.2383,0.2393,0.2406,0.2455,0.2464,0.2467,0.2470,
0.2482,0.2614,0.2683,0.2712,0.2716,0.2738,0.2766,0.2773,0.2783,0.2801,
0.2841,0.2919,0.3005,0.3077,0.3130,0.3165,0.3180,0.3252,0.3277,0.3301,
0.3359,0.3496,0.3520,0.3557,0.3582,0.3600,0.3619,0.3757,0.3774,0.3777,
0.3848,0.3949,0.3992,0.4040,0.4088,0.4092,0.4129,0.4294,0.4297,0.4347,
0.4382,0.4455,0.4456,0.4483,0.4527,0.4581,0.4595,0.4599,0.4717,0.4759,
0.4793,0.4844,0.4860,0.4883,0.4904,0.4928,0.4949,0.4959,0.4965,0.5116,
0.5119,0.5170,0.5173,0.5306,0.5366,0.5401,0.5419,0.5431,0.5466,0.5466,
0.5510,0.5629,0.5676,0.5682,0.5685,0.5707,0.5729,0.5798,0.5828,0.5892,
0.5914,0.5917,0.6011,0.6025,0.6043,0.6083,0.6153,0.6155,0.6224,0.6277,
0.6347,0.6390,0.6499,0.6515,0.6560,0.6612,0.6644,0.6652,0.6655,0.6674,
0.6694,0.6723,0.6725,0.6726,0.6802,0.6833,0.6871,0.6971,0.6981,0.6990,
0.7013,0.7057,0.7069,0.7071,0.7073,0.7193,0.7199,0.7202,0.7221,0.7242,
0.7242,0.7273,0.7438,0.7498,0.7550,0.7665,0.7675,0.7676,0.7784,0.7908,
0.7911,0.7936,0.7937,0.7944,0.7944,0.8004,0.8076,0.8143,0.8189,0.8194,
0.8232,0.8296,0.8355,0.8452,0.8531,0.8564,0.8565,0.8567,0.8580,0.8654,
0.8676,0.8707,0.8746,0.8845,0.8918,0.8922,0.8939,0.8943,0.8951,0.8965,
0.8968,0.8977,0.9005,0.9010,0.9057,0.9151,0.9172,0.9173,0.9218,0.9297,
0.9317,0.9330,0.9347,0.9368,0.9409,0.9462,0.9609,0.9633,0.9693,0.9696,
0.9701,0.9799,0.9807,0.9823,0.9850,0.9875,0.9895,0.9911,0.9920,
Overall p-value after applying KStest on 269 p-values = 0.553917
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.