RESULTS OF BIRTHDAY SPACINGS FOR dh-ranFile-2018-07-05_07:31
(no_bdays=1024, no_days/yr=2^24, lambda=16.00, sample size=500)
Bits used mean chisqr p-value
1 to 24 15.71 17.5058 0.579362
2 to 25 15.72 26.2547 0.930057
3 to 26 15.91 10.7013 0.128336
4 to 27 15.73 19.8410 0.717556
5 to 28 15.96 11.6579 0.179605
6 to 29 15.80 12.6132 0.238332
7 to 30 15.81 13.9243 0.327549
8 to 31 15.95 12.8796 0.255791
9 to 32 15.91 9.6412 0.082023
Chisquare degrees of freedom: 17
---------------------------------------------------------------
p-value for KStest on those 9 p-values: 0.332436
Tough bday spacings test for dh-ranFile-2018-07-05_07:31: 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 5 46 82 98 100 64 58 26 12 7 2
(O-E)^2/E 1.9 2.4 1.0 0.0 0.1 2.6 0.7 0.5 0.6 0.0 1.0
Birthday Spacings: Sum(O-E)^2/E= 10.720, p= 0.620
RESULTS OF GCD FOR dh-ranFile-2018-07-05_07:31
Euclid's algorithm:
p-value, steps to gcd: 0.623853
p-value, dist. of gcd's: 0.277445
Gorilla test for 2^26 bits, positions 0 to 31 for dh-ranFile-2018-07-05_07:31:
Note: lengthy test---for example, ~20 minutes for 850MHz PC
Bits 0 to 7---> 0.843 0.746 0.948 0.002 0.043 0.986 0.855 0.092
Bits 8 to 15---> 0.460 0.776 0.271 0.266 0.728 0.138 0.149 0.077
Bits 16 to 23---> 0.432 0.714 0.651 0.557 0.128 0.421 0.536 0.509
Bits 24 to 31---> 0.083 0.015 0.886 0.136 0.986 0.563 0.208 0.914
KS test for the above 32 p values: 0.604
The OPERM5 test for 10 million (overlapping) 5-tuples for dh-ranFile-2018-07-05_07:31,
p-values for 5 runs: 0.2768, 0.7097, 0.7587, 0.7067, 0.9345
Rank test for binary matrices (31x31) for dh-ranFile-2018-07-05_07:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=28 242 211.4 4.424 4.424
r= 29 5294 5134.0 4.986 9.409
r= 30 23235 23103.0 0.754 10.163
r= 31 11229 11551.5 9.005 19.168
chi-square = 19.168 with df = 3; p-value = 1.000
--------------------------------------------------------------
Rank test for binary matrices (32x32) for dh-ranFile-2018-07-05_07:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=29 222 211.4 0.530 0.530
r= 30 5154 5134.0 0.078 0.607
r= 31 23059 23103.0 0.084 0.691
r= 32 11565 11551.5 0.016 0.707
chi-square = 0.707 with df = 3; p-value = 0.128
--------------------------------------------------------------
Rank test for binary matrices (6x8) for dh-ranFile-2018-07-05_07:31
b-rank test for bits 1 to 8, p=0.47922
b-rank test for bits 2 to 9, p=0.73002
b-rank test for bits 3 to 10, p=0.88100
b-rank test for bits 4 to 11, p=0.84223
b-rank test for bits 5 to 12, p=0.74237
b-rank test for bits 6 to 13, p=0.82764
b-rank test for bits 7 to 14, p=0.56044
b-rank test for bits 8 to 15, p=0.07960
b-rank test for bits 9 to 16, p=0.66074
b-rank test for bits 10 to 17, p=0.78367
b-rank test for bits 11 to 18, p=0.35662
b-rank test for bits 12 to 19, p=0.34092
b-rank test for bits 13 to 20, p=0.65839
b-rank test for bits 14 to 21, p=0.76645
b-rank test for bits 15 to 22, p=0.01056
b-rank test for bits 16 to 23, p=0.43508
b-rank test for bits 17 to 24, p=0.20844
b-rank test for bits 18 to 25, p=0.22332
b-rank test for bits 19 to 26, p=0.02294
b-rank test for bits 20 to 27, p=0.20502
b-rank test for bits 21 to 28, p=0.53263
b-rank test for bits 22 to 29, p=0.89193
b-rank test for bits 23 to 30, p=0.55443
b-rank test for bits 24 to 31, p=0.61340
b-rank test for bits 25 to 32, p=0.05030
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 = 0.779376
THE OVERLAPPING 20-TUPLES BITSTREAM TEST for dh-ranFile-2018-07-05_07:31
(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 141117 -1.85 0.032068
2 142304 0.92 0.821769
3 141952 0.10 0.539707
4 141443 -1.09 0.137954
5 141686 -0.52 0.300905
6 141795 -0.27 0.394686
7 141532 -0.88 0.188993
8 141835 -0.17 0.431063
9 141127 -1.83 0.033784
10 141854 -0.13 0.448570
11 142310 0.94 0.825401
12 141579 -0.77 0.220117
13 141391 -1.21 0.112938
14 142115 0.48 0.684577
15 142001 0.21 0.584798
16 141211 -1.63 0.051381
17 142462 1.29 0.901698
18 141361 -1.28 0.100071
19 142731 1.92 0.972558
20 142267 0.84 0.798332
----------------------------------------------------------------
OPSO test for dh-ranFile-2018-07-05_07:31
Bits used No. missing words z-score p-value
23 to 32 141906 -0.0115 0.495419
22 to 31 142028 0.4092 0.658806
21 to 30 141576 -1.1494 0.125193
20 to 29 141869 -0.1391 0.444698
19 to 28 142402 1.6989 0.955327
18 to 27 141556 -1.2184 0.111540
17 to 26 141748 -0.5563 0.288999
16 to 25 141582 -1.1287 0.129507
15 to 24 141610 -1.0322 0.150996
14 to 23 141875 -0.1184 0.452884
13 to 22 142376 1.6092 0.946214
12 to 21 142377 1.6127 0.946590
11 to 20 142081 0.5920 0.723063
10 to 19 141944 0.1196 0.547581
9 to 18 141535 -1.2908 0.098388
8 to 17 141967 0.1989 0.578815
7 to 16 141766 -0.4942 0.310568
6 to 15 142091 0.6264 0.734490
5 to 14 141765 -0.4977 0.309351
4 to 13 141535 -1.2908 0.098388
3 to 12 141669 -0.8287 0.203630
2 to 11 141521 -1.3391 0.090274
1 to 10 141968 0.2023 0.580163
-----------------------------------------------------------------
OQSO test for dh-ranFile-2018-07-05_07:31
Bits used No. missing words z-score p-value
28 to 32 141552 -1.2113 0.112893
27 to 31 141846 -0.2147 0.415009
26 to 30 142270 1.2226 0.889262
25 to 29 142069 0.5413 0.705834
24 to 28 141508 -1.3604 0.086845
23 to 27 141714 -0.6621 0.253942
22 to 26 142358 1.5209 0.935859
21 to 25 141515 -1.3367 0.090658
20 to 24 141892 -0.0587 0.476577
19 to 23 141923 0.0463 0.518480
18 to 22 141475 -1.4723 0.070469
17 to 21 141604 -1.0350 0.150331
16 to 20 141875 -0.1164 0.453679
15 to 19 142183 0.9277 0.823217
14 to 18 141958 0.1650 0.565521
13 to 17 141643 -0.9028 0.183312
12 to 16 141600 -1.0486 0.147187
11 to 15 141882 -0.0926 0.463093
10 to 14 141313 -2.0215 0.021616
9 to 13 141626 -0.9604 0.168417
8 to 12 141242 -2.2621 0.011845
7 to 11 142122 0.7209 0.764519
6 to 10 141796 -0.3842 0.350426
5 to 9 141850 -0.2011 0.420303
4 to 8 141668 -0.8181 0.206659
3 to 7 142071 0.5480 0.708166
2 to 6 141961 0.1752 0.569520
1 to 5 142300 1.3243 0.907299
-----------------------------------------------------------------
DNA test for dh-ranFile-2018-07-05_07:31
Bits used No. missing words z-score p-value
31 to 32 141686 -0.6588 0.255015
30 to 31 141931 0.0639 0.525484
29 to 30 141711 -0.5850 0.279259
28 to 29 141946 0.1082 0.543070
27 to 28 141946 0.1082 0.543070
26 to 27 141575 -0.9862 0.162012
25 to 26 141911 0.0049 0.501965
24 to 25 141797 -0.3314 0.370187
23 to 24 141713 -0.5791 0.281246
22 to 23 141936 0.0787 0.531354
21 to 22 141752 -0.4641 0.321288
20 to 21 142110 0.5919 0.723057
19 to 20 141846 -0.1868 0.425903
18 to 19 142045 0.4002 0.655498
17 to 18 141865 -0.1308 0.447980
16 to 17 141752 -0.4641 0.321288
15 to 16 142139 0.6775 0.750953
14 to 15 142158 0.7335 0.768385
13 to 14 141506 -1.1898 0.117070
12 to 13 141687 -0.6558 0.255963
11 to 12 141875 -0.1013 0.459669
10 to 11 141438 -1.3904 0.082211
9 to 10 141800 -0.3225 0.373534
8 to 9 141912 0.0079 0.503142
7 to 8 142087 0.5241 0.699896
6 to 7 142155 0.7247 0.765679
5 to 6 141572 -0.9951 0.159850
4 to 5 142264 1.0462 0.852271
3 to 4 142845 2.7601 0.997111
2 to 3 141671 -0.7030 0.241016
1 to 2 142070 0.4740 0.682233
-----------------------------------------------------------------
Test result COUNT-THE-1's in bytes for dh-ranFile-2018-07-05_07:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 2560000)
chisquare z-score p-value
2496.41 -0.051 0.479778
Test results for specific bytes for dh-ranFile-2018-07-05_07:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 256000)
bits used chisquare z-score p-value
1 to 8 2464.13 -0.507 0.305964
2 to 9 2433.15 -0.945 0.172235
3 to 10 2676.30 2.493 0.993671
4 to 11 2483.66 -0.231 0.408620
5 to 12 2460.42 -0.560 0.287806
6 to 13 2426.91 -1.034 0.150662
7 to 14 2512.72 0.180 0.571407
8 to 15 2580.53 1.139 0.872632
9 to 16 2454.79 -0.639 0.261284
10 to 17 2507.34 0.104 0.541320
11 to 18 2513.02 0.184 0.573051
12 to 19 2443.73 -0.796 0.213067
13 to 20 2459.87 -0.568 0.285164
14 to 21 2460.09 -0.564 0.286218
15 to 22 2473.66 -0.373 0.354757
16 to 23 2561.04 0.863 0.805995
17 to 24 2512.70 0.180 0.571260
18 to 25 2496.63 -0.048 0.481020
19 to 26 2529.00 0.410 0.659158
20 to 27 2452.84 -0.667 0.252408
21 to 28 2482.80 -0.243 0.403923
22 to 29 2519.87 0.281 0.610634
23 to 30 2472.02 -0.396 0.346180
24 to 31 2591.07 1.288 0.901122
25 to 32 2489.62 -0.147 0.441660
CDPARK for dh-ranFile-2018-07-05_07:31: 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
3489 -1.5525 0.060270
3549 1.1872 0.882429
3540 0.7763 0.781201
3507 -0.7306 0.232514
3557 1.5525 0.939730
3518 -0.2283 0.409702
3545 1.0046 0.842447
3485 -1.7352 0.041356
3504 -0.8676 0.192812
3550 1.2329 0.891189
Square side=100, avg. no. parked=3524.40 sample std.=25.61
p-value of the KSTEST for those 10 p-values: 0.405872
Results for the MINIMUM DISTANCE test for dh-ranFile-2018-07-05_07:31
0.2710,0.5587,0.3739,0.9703,0.1369,0.8145,0.2577,0.8468,0.6165,0.1207,
The KS test for those 10 p-values: 0.978251
The 3DSPHERES test for dh-ranFile-2018-07-05_07:31
sample no r^3 equiv. uni.
1 56.200 0.846391
2 65.740 0.888231
3 18.759 0.464908
4 4.027 0.125608
5 25.175 0.567925
6 17.215 0.436642
7 2.140 0.068849
8 12.360 0.337683
9 19.670 0.480896
10 2.165 0.069634
11 93.823 0.956170
12 4.764 0.146845
13 49.248 0.806333
14 4.859 0.149524
15 125.728 0.984868
16 37.420 0.712727
17 29.854 0.630322
18 1.905 0.061533
19 39.795 0.734591
20 2.465 0.078878
--------------------------------------------------------------
p-value for KS test on those 20 p-values: 0.606098
RESULTS OF SQUEEZE TEST FOR dh-ranFile-2018-07-05_07:31
Table of standardized frequency counts
(obs-exp)^2/exp for j=(1,..,6), 7,...,47,(48,...)
2.7 -1.2 0.1 -0.8 0.8 1.4
0.4 0.6 -0.2 1.0 0.2 0.1
-0.0 0.2 -1.0 1.1 -1.8 0.8
-1.0 0.4 1.3 -0.0 0.3 -0.4
-0.4 -0.7 -0.6 -1.5 0.2 -0.1
1.3 0.6 -0.4 1.3 0.2 0.1
1.7 -1.7 0.5 -0.1 0.1 -1.0
-0.1
Chi-square with 42 degrees of freedom:37.112329
z-score=-0.533289, p-value=0.314919
_____________________________________________________________
Results of the OSUM test for dh-ranFile-2018-07-05_07:31
Test no p-value
1 0.025921
2 0.001799
3 0.493643
4 0.007456
5 0.870297
6 0.734643
7 0.319289
8 0.225129
9 0.056915
10 0.617770
_____________________________________________________________
p-value for 10 kstests on 100 sums: 0.019806
Test for lengths of runs up and runs down, 100,000 each for dh-ranFile-2018-07-05_07:31:
(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 66767 0.15 66717 0.04
3 25000.00 24995 0.00 25133 0.71
4 6666.67 6650 0.04 6529 2.84
5 1388.89 1305 5.07 1350 1.09
6 238.10 237 0.01 225 0.72
7 34.72 39 0.53 41 1.14
8 4.96 6 0.22 4 0.19
p=0.57809 p=0.65242
Number of rngs required: 687582, p-value: 0.171
RESULTS OF CRAPS TEST for dh-ranFile-2018-07-05_07:31
No. of wins: Observed Expected
98648 98585.9
z-score= 0.278, pvalue=0.60947
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66525 66666.7 0.301 0.301
2 37679 37654.3 0.016 0.317
3 26844 26954.7 0.455 0.772
4 19216 19313.5 0.492 1.264
5 13855 13851.4 0.001 1.265
6 10075 9943.5 1.738 3.003
7 7157 7145.0 0.020 3.023
8 5163 5139.1 0.111 3.134
9 3745 3699.9 0.551 3.685
10 2797 2666.3 6.407 10.092
11 1907 1923.3 0.139 10.231
12 1335 1388.7 2.080 12.310
13 1030 1003.7 0.688 12.999
14 718 726.1 0.091 13.090
15 515 525.8 0.223 13.313
16 398 381.2 0.745 14.058
17 272 276.5 0.075 14.132
18 220 200.8 1.830 15.962
19 141 146.0 0.170 16.132
20 114 106.2 0.571 16.703
21 294 287.1 0.165 16.868
Chisq= 16.87 for 20 degrees of freedom, p= 0.33849
SUMMARY of craptest
p-value for no. of wins: 0.609468
p-value for throws/game: 0.338486
_____________________________________________________________
RESULTS OF CRAPS TEST2 for dh-ranFile-2018-07-05_07:31
No. of wins: Observed Expected
98707 98585.9
z-score= 0.542, pvalue=0.70603
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66706 66666.7 0.023 0.023
2 37676 37654.3 0.012 0.036
3 27256 26954.7 3.367 3.403
4 19320 19313.5 0.002 3.405
5 13759 13851.4 0.617 4.022
6 9955 9943.5 0.013 4.035
7 6955 7145.0 5.054 9.089
8 5041 5139.1 1.872 10.960
9 3739 3699.9 0.414 11.374
10 2719 2666.3 1.042 12.416
11 1910 1923.3 0.092 12.508
12 1376 1388.7 0.117 12.625
13 1035 1003.7 0.975 13.600
14 690 726.1 1.799 15.399
15 500 525.8 1.269 16.669
16 360 381.2 1.174 17.842
17 285 276.5 0.259 18.101
18 173 200.8 3.857 21.958
19 152 146.0 0.248 22.205
20 105 106.2 0.014 22.219
21 288 287.1 0.003 22.222
Chisq= 22.22 for 20 degrees of freedom, p= 0.67142
SUMMARY of craptest
p-value for no. of wins: 0.706027
p-value for throws/game: 0.671419
_____________________________________________________________
***** TEST SUMMARY *****
All p-values:
0.0015,0.0018,0.0075,0.0106,0.0118,0.0154,0.0198,0.0216,0.0229,0.0259,
0.0321,0.0338,0.0414,0.0430,0.0503,0.0514,0.0569,0.0603,0.0615,0.0688,
0.0696,0.0705,0.0772,0.0789,0.0796,0.0820,0.0822,0.0831,0.0868,0.0903,
0.0907,0.0920,0.0984,0.0984,0.1001,0.1115,0.1129,0.1129,0.1171,0.1207,
0.1252,0.1256,0.1281,0.1283,0.1285,0.1295,0.1364,0.1369,0.1380,0.1383,
0.1468,0.1472,0.1487,0.1495,0.1503,0.1507,0.1510,0.1599,0.1620,0.1684,
0.1709,0.1722,0.1796,0.1833,0.1890,0.1928,0.2036,0.2050,0.2067,0.2083,
0.2084,0.2131,0.2201,0.2233,0.2251,0.2325,0.2383,0.2410,0.2524,0.2539,
0.2550,0.2558,0.2560,0.2577,0.2613,0.2659,0.2706,0.2710,0.2768,0.2774,
0.2793,0.2812,0.2852,0.2862,0.2878,0.2890,0.3009,0.3060,0.3094,0.3106,
0.3149,0.3193,0.3213,0.3213,0.3275,0.3324,0.3377,0.3385,0.3409,0.3462,
0.3504,0.3548,0.3566,0.3702,0.3735,0.3739,0.3947,0.4039,0.4059,0.4086,
0.4097,0.4150,0.4203,0.4214,0.4259,0.4311,0.4321,0.4351,0.4366,0.4417,
0.4447,0.4480,0.4486,0.4529,0.4537,0.4597,0.4602,0.4631,0.4649,0.4766,
0.4792,0.4798,0.4809,0.4810,0.4936,0.4954,0.5020,0.5031,0.5087,0.5185,
0.5255,0.5314,0.5326,0.5364,0.5397,0.5413,0.5431,0.5431,0.5476,0.5544,
0.5566,0.5587,0.5604,0.5632,0.5655,0.5679,0.5695,0.5713,0.5714,0.5731,
0.5781,0.5788,0.5794,0.5802,0.5848,0.6035,0.6061,0.6095,0.6106,0.6134,
0.6165,0.6178,0.6203,0.6239,0.6303,0.6511,0.6524,0.6555,0.6584,0.6588,
0.6592,0.6607,0.6714,0.6822,0.6846,0.6999,0.7058,0.7060,0.7067,0.7082,
0.7097,0.7127,0.7135,0.7176,0.7231,0.7231,0.7276,0.7300,0.7345,0.7346,
0.7346,0.7424,0.7457,0.7510,0.7587,0.7645,0.7657,0.7664,0.7684,0.7756,
0.7794,0.7812,0.7837,0.7983,0.8060,0.8063,0.8145,0.8218,0.8232,0.8254,
0.8276,0.8422,0.8424,0.8430,0.8464,0.8468,0.8523,0.8549,0.8703,0.8726,
0.8810,0.8824,0.8857,0.8882,0.8893,0.8912,0.8919,0.9011,0.9017,0.9073,
0.9138,0.9301,0.9345,0.9359,0.9397,0.9462,0.9466,0.9480,0.9553,0.9562,
0.9703,0.9726,0.9783,0.9849,0.9855,0.9857,0.9937,0.9971,0.9997,
Overall p-value after applying KStest on 269 p-values = 0.063604
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.