RESULTS OF BIRTHDAY SPACINGS FOR dh-ranFile-2018-06-20_01:31
(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 12.8149 0.251517
2 to 25 15.90 13.3988 0.290891
3 to 26 15.90 10.7100 0.128762
4 to 27 15.90 26.9229 0.940792
5 to 28 15.93 15.9699 0.474028
6 to 29 15.93 18.5816 0.646933
7 to 30 15.74 24.2126 0.886228
8 to 31 15.82 22.9837 0.850217
9 to 32 15.95 16.8670 0.536588
Chisquare degrees of freedom: 17
---------------------------------------------------------------
p-value for KStest on those 9 p-values: 0.889583
Tough bday spacings test for dh-ranFile-2018-06-20_01:31: 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 12 30 86 103 98 69 55 25 12 6 4
(O-E)^2/E 0.9 1.2 2.2 0.3 0.0 1.1 0.2 0.8 0.6 0.1 0.0
Birthday Spacings: Sum(O-E)^2/E= 7.202, p= 0.294
RESULTS OF GCD FOR dh-ranFile-2018-06-20_01:31
Euclid's algorithm:
p-value, steps to gcd: 0.741129
p-value, dist. of gcd's: 0.498179
Gorilla test for 2^26 bits, positions 0 to 31 for dh-ranFile-2018-06-20_01:31:
Note: lengthy test---for example, ~20 minutes for 850MHz PC
Bits 0 to 7---> 0.739 0.822 0.045 0.845 0.003 0.136 0.513 0.306
Bits 8 to 15---> 0.337 0.813 0.502 0.232 0.030 0.653 0.826 0.859
Bits 16 to 23---> 0.408 0.326 0.391 0.439 0.568 0.448 0.541 0.730
Bits 24 to 31---> 0.865 0.109 0.656 0.599 0.966 0.217 0.328 0.199
KS test for the above 32 p values: 0.079
The OPERM5 test for 10 million (overlapping) 5-tuples for dh-ranFile-2018-06-20_01:31,
p-values for 5 runs: 0.6956, 0.8100, 0.2492, 0.4120, 0.6467
Rank test for binary matrices (31x31) for dh-ranFile-2018-06-20_01:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=28 217 211.4 0.147 0.147
r= 29 5010 5134.0 2.995 3.143
r= 30 23252 23103.0 0.960 4.103
r= 31 11521 11551.5 0.081 4.184
chi-square = 4.184 with df = 3; p-value = 0.758
--------------------------------------------------------------
Rank test for binary matrices (32x32) for dh-ranFile-2018-06-20_01:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=29 201 211.4 0.513 0.513
r= 30 5168 5134.0 0.225 0.738
r= 31 23262 23103.0 1.094 1.832
r= 32 11369 11551.5 2.884 4.716
chi-square = 4.716 with df = 3; p-value = 0.806
--------------------------------------------------------------
Rank test for binary matrices (6x8) for dh-ranFile-2018-06-20_01:31
b-rank test for bits 1 to 8, p=0.53420
b-rank test for bits 2 to 9, p=0.89956
b-rank test for bits 3 to 10, p=0.88822
b-rank test for bits 4 to 11, p=0.47407
b-rank test for bits 5 to 12, p=0.01556
b-rank test for bits 6 to 13, p=0.02656
b-rank test for bits 7 to 14, p=0.54361
b-rank test for bits 8 to 15, p=0.28541
b-rank test for bits 9 to 16, p=0.24632
b-rank test for bits 10 to 17, p=0.94602
b-rank test for bits 11 to 18, p=0.28047
b-rank test for bits 12 to 19, p=0.50903
b-rank test for bits 13 to 20, p=0.59010
b-rank test for bits 14 to 21, p=0.51840
b-rank test for bits 15 to 22, p=0.65990
b-rank test for bits 16 to 23, p=0.78892
b-rank test for bits 17 to 24, p=0.69472
b-rank test for bits 18 to 25, p=0.40465
b-rank test for bits 19 to 26, p=0.06212
b-rank test for bits 20 to 27, p=0.60597
b-rank test for bits 21 to 28, p=0.50574
b-rank test for bits 22 to 29, p=0.48235
b-rank test for bits 23 to 30, p=0.75322
b-rank test for bits 24 to 31, p=0.25296
b-rank test for bits 25 to 32, p=0.10003
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 = 0.757107
THE OVERLAPPING 20-TUPLES BITSTREAM TEST for dh-ranFile-2018-06-20_01:31
(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 141411 -1.16 0.122147
2 140890 -2.38 0.008619
3 141919 0.02 0.509013
4 141124 -1.83 0.033262
5 142278 0.86 0.805485
6 141469 -1.03 0.151785
7 141425 -1.13 0.128899
8 141698 -0.49 0.310737
9 142763 1.99 0.976954
10 141381 -1.23 0.108524
11 141072 -1.96 0.025210
12 142159 0.58 0.720168
13 142372 1.08 0.860153
14 142404 1.16 0.876113
15 142401 1.15 0.874673
16 142602 1.62 0.947210
17 142182 0.64 0.737963
18 142238 0.77 0.778733
19 141477 -1.01 0.156220
20 141640 -0.63 0.264584
----------------------------------------------------------------
OPSO test for dh-ranFile-2018-06-20_01:31
Bits used No. missing words z-score p-value
23 to 32 142424 1.7747 0.962028
22 to 31 142036 0.4368 0.668869
21 to 30 141532 -1.3011 0.096606
20 to 29 142272 1.2506 0.894457
19 to 28 141885 -0.0839 0.466569
18 to 27 141811 -0.3391 0.367279
17 to 26 141493 -1.4356 0.075555
16 to 25 141428 -1.6598 0.048482
15 to 24 141738 -0.5908 0.277330
14 to 23 142201 1.0058 0.842734
13 to 22 142152 0.8368 0.798646
12 to 21 141968 0.2023 0.580163
11 to 20 142132 0.7678 0.778705
10 to 19 141960 0.1747 0.569352
9 to 18 141292 -2.1287 0.016639
8 to 17 142019 0.3782 0.647349
7 to 16 142071 0.5575 0.711401
6 to 15 142033 0.4264 0.665109
5 to 14 141629 -0.9667 0.166858
4 to 13 141824 -0.2942 0.384287
3 to 12 141583 -1.1253 0.130236
2 to 11 141521 -1.3391 0.090274
1 to 10 142333 1.4609 0.927983
-----------------------------------------------------------------
OQSO test for dh-ranFile-2018-06-20_01:31
Bits used No. missing words z-score p-value
28 to 32 142533 2.1141 0.982748
27 to 31 141280 -2.1333 0.016449
26 to 30 141437 -1.6011 0.054675
25 to 29 142288 1.2836 0.900364
24 to 28 141988 0.2667 0.605141
23 to 27 142127 0.7379 0.769702
22 to 26 142163 0.8599 0.805077
21 to 25 141765 -0.4893 0.312331
20 to 24 142273 1.2328 0.891171
19 to 23 141983 0.2497 0.598602
18 to 22 142030 0.4091 0.658749
17 to 21 142082 0.5853 0.720834
16 to 20 141731 -0.6045 0.272753
15 to 19 142136 0.7684 0.778867
14 to 18 142016 0.3616 0.641172
13 to 17 142307 1.3480 0.911176
12 to 16 141613 -1.0045 0.157567
11 to 15 141788 -0.4113 0.340431
10 to 14 141517 -1.3299 0.091770
9 to 13 141806 -0.3503 0.363068
8 to 12 141636 -0.9265 0.177082
7 to 11 141612 -1.0079 0.156752
6 to 10 142084 0.5921 0.723109
5 to 9 141202 -2.3977 0.008249
4 to 8 141914 0.0158 0.506315
3 to 7 141936 0.0904 0.536018
2 to 6 141954 0.1514 0.560179
1 to 5 141661 -0.8418 0.199951
-----------------------------------------------------------------
DNA test for dh-ranFile-2018-06-20_01:31
Bits used No. missing words z-score p-value
31 to 32 142010 0.2970 0.616752
30 to 31 141949 0.1170 0.546578
29 to 30 141649 -0.7679 0.221263
28 to 29 142086 0.5212 0.698869
27 to 28 141975 0.1937 0.576801
26 to 27 141658 -0.7414 0.229230
25 to 26 142317 1.2026 0.885428
24 to 25 141416 -1.4553 0.072800
23 to 24 141895 -0.0423 0.483141
22 to 23 142160 0.7394 0.770180
21 to 22 141830 -0.2340 0.407488
20 to 21 141030 -2.5939 0.004745
19 to 20 142675 2.2586 0.988046
18 to 19 141724 -0.5467 0.292294
17 to 18 141753 -0.4612 0.322345
16 to 17 141782 -0.3756 0.353605
15 to 16 141285 -1.8417 0.032761
14 to 15 141474 -1.2842 0.099543
13 to 14 142075 0.4887 0.687474
12 to 13 142496 1.7306 0.958238
11 to 12 142159 0.7365 0.769284
10 to 11 141260 -1.9154 0.027719
9 to 10 141562 -1.0246 0.152783
8 to 9 141523 -1.1396 0.127223
7 to 8 141850 -0.1750 0.430534
6 to 7 141815 -0.2783 0.390407
5 to 6 142234 0.9577 0.830900
4 to 5 141993 0.2468 0.597474
3 to 4 142651 2.1878 0.985659
2 to 3 141770 -0.4110 0.340535
1 to 2 142345 1.2852 0.900632
-----------------------------------------------------------------
Test result COUNT-THE-1's in bytes for dh-ranFile-2018-06-20_01:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 2560000)
chisquare z-score p-value
2609.60 1.550 0.939429
Test results for specific bytes for dh-ranFile-2018-06-20_01:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 256000)
bits used chisquare z-score p-value
1 to 8 2484.99 -0.212 0.415967
2 to 9 2436.14 -0.903 0.183236
3 to 10 2471.40 -0.404 0.342923
4 to 11 2605.85 1.497 0.932801
5 to 12 2489.89 -0.143 0.443148
6 to 13 2599.55 1.408 0.920415
7 to 14 2564.69 0.915 0.819870
8 to 15 2580.63 1.140 0.872925
9 to 16 2465.77 -0.484 0.314147
10 to 17 2456.25 -0.619 0.268050
11 to 18 2412.92 -1.232 0.109066
12 to 19 2584.47 1.195 0.883881
13 to 20 2488.11 -0.168 0.433256
14 to 21 2496.76 -0.046 0.481741
15 to 22 2437.80 -0.880 0.189515
16 to 23 2465.95 -0.482 0.315051
17 to 24 2460.97 -0.552 0.290474
18 to 25 2468.67 -0.443 0.328850
19 to 26 2517.14 0.242 0.595753
20 to 27 2424.49 -1.068 0.142789
21 to 28 2597.16 1.374 0.915278
22 to 29 2511.91 0.168 0.566890
23 to 30 2437.00 -0.891 0.186476
24 to 31 2536.59 0.518 0.697600
25 to 32 2461.52 -0.544 0.293148
CDPARK for dh-ranFile-2018-06-20_01:31: 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
3588 2.9680 0.998501
3547 1.0959 0.863437
3579 2.5571 0.994722
3538 0.6849 0.753306
3545 1.0046 0.842447
3536 0.5936 0.723613
3529 0.2740 0.607947
3505 -0.8219 0.205562
3527 0.1826 0.572463
3539 0.7306 0.767486
Square side=100, avg. no. parked=3543.30 sample std.=23.08
p-value of the KSTEST for those 10 p-values: 0.007578
Results for the MINIMUM DISTANCE test for dh-ranFile-2018-06-20_01:31
0.0819,0.6825,0.5141,0.1614,0.2320,0.2344,0.5399,0.9796,0.0170,0.2104,
The KS test for those 10 p-values: 0.187063
The 3DSPHERES test for dh-ranFile-2018-06-20_01:31
sample no r^3 equiv. uni.
1 24.865 0.563444
2 37.108 0.709724
3 9.585 0.273499
4 7.793 0.228758
5 16.968 0.431981
6 11.307 0.314011
7 45.770 0.782526
8 15.556 0.404613
9 48.192 0.799394
10 26.089 0.580889
11 45.397 0.779806
12 60.515 0.866969
13 31.828 0.653872
14 7.131 0.211556
15 16.086 0.415038
16 45.439 0.780111
17 7.333 0.216865
18 21.461 0.510988
19 15.339 0.400282
20 1.011 0.033124
--------------------------------------------------------------
p-value for KS test on those 20 p-values: 0.588404
RESULTS OF SQUEEZE TEST FOR dh-ranFile-2018-06-20_01:31
Table of standardized frequency counts
(obs-exp)^2/exp for j=(1,..,6), 7,...,47,(48,...)
1.3 -0.7 -0.8 -0.1 -0.6 1.1
0.8 -0.1 0.5 0.0 0.6 -0.8
-0.0 -0.7 1.0 1.2 0.7 -0.6
-0.3 0.9 -2.1 -1.5 0.3 -0.1
0.4 0.5 -0.3 0.8 0.8 1.4
-0.9 -0.7 -0.8 -0.6 -1.5 0.2
-0.2 -0.7 0.1 -0.7 0.1 0.0
-1.1
Chi-square with 42 degrees of freedom:28.530815
z-score=-1.469609, p-value=0.055937
_____________________________________________________________
Results of the OSUM test for dh-ranFile-2018-06-20_01:31
Test no p-value
1 0.290990
2 0.213779
3 0.410777
4 0.384376
5 0.506609
6 0.539453
7 0.066056
8 0.001364
9 0.486517
10 0.053310
_____________________________________________________________
p-value for 10 kstests on 100 sums: 0.026563
Test for lengths of runs up and runs down, 100,000 each for dh-ranFile-2018-06-20_01:31:
(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 66671 0.00 66541 0.24
3 25000.00 25079 0.25 25139 0.77
4 6666.67 6535 2.60 6607 0.53
5 1388.89 1423 0.84 1445 2.27
6 238.10 258 1.66 219 1.53
7 34.72 33 0.09 39 0.53
8 4.96 0 4.96 9 3.29
p=0.89112 p=0.83524
Number of rngs required: 688324, p-value: 0.464
RESULTS OF CRAPS TEST for dh-ranFile-2018-06-20_01:31
No. of wins: Observed Expected
98974 98585.9
z-score= 1.736, pvalue=0.95872
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66802 66666.7 0.275 0.275
2 37715 37654.3 0.098 0.373
3 26556 26954.7 5.898 6.271
4 19532 19313.5 2.473 8.744
5 13713 13851.4 1.383 10.127
6 10072 9943.5 1.659 11.786
7 7166 7145.0 0.062 11.848
8 5135 5139.1 0.003 11.851
9 3757 3699.9 0.882 12.734
10 2614 2666.3 1.026 13.759
11 2011 1923.3 3.996 17.756
12 1373 1388.7 0.178 17.934
13 947 1003.7 3.205 21.139
14 715 726.1 0.171 21.310
15 485 525.8 3.171 24.481
16 407 381.2 1.753 26.234
17 259 276.5 1.112 27.346
18 198 200.8 0.040 27.386
19 144 146.0 0.027 27.413
20 125 106.2 3.322 30.735
21 274 287.1 0.599 31.334
Chisq= 31.33 for 20 degrees of freedom, p= 0.94907
SUMMARY of craptest
p-value for no. of wins: 0.958718
p-value for throws/game: 0.949073
_____________________________________________________________
RESULTS OF CRAPS TEST2 for dh-ranFile-2018-06-20_01:31
No. of wins: Observed Expected
98935 98585.9
z-score= 1.562, pvalue=0.94080
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66571 66666.7 0.137 0.137
2 37810 37654.3 0.644 0.781
3 26903 26954.7 0.099 0.880
4 19289 19313.5 0.031 0.911
5 13811 13851.4 0.118 1.029
6 9946 9943.5 0.001 1.030
7 7163 7145.0 0.045 1.075
8 5001 5139.1 3.710 4.785
9 3705 3699.9 0.007 4.792
10 2595 2666.3 1.907 6.698
11 1943 1923.3 0.201 6.899
12 1489 1388.7 7.238 14.138
13 1020 1003.7 0.264 14.402
14 751 726.1 0.851 15.253
15 521 525.8 0.044 15.297
16 398 381.2 0.745 16.042
17 280 276.5 0.043 16.086
18 192 200.8 0.388 16.474
19 170 146.0 3.951 20.425
20 127 106.2 4.067 24.492
21 315 287.1 2.708 27.200
Chisq= 27.20 for 20 degrees of freedom, p= 0.87028
SUMMARY of craptest
p-value for no. of wins: 0.940805
p-value for throws/game: 0.870276
_____________________________________________________________
***** TEST SUMMARY *****
All p-values:
0.0014,0.0027,0.0047,0.0076,0.0082,0.0086,0.0156,0.0164,0.0166,0.0170,
0.0252,0.0266,0.0266,0.0277,0.0299,0.0328,0.0331,0.0333,0.0450,0.0485,
0.0533,0.0547,0.0559,0.0621,0.0661,0.0728,0.0756,0.0786,0.0819,0.0903,
0.0918,0.0966,0.0995,0.1000,0.1085,0.1091,0.1094,0.1221,0.1272,0.1288,
0.1289,0.1302,0.1361,0.1428,0.1518,0.1528,0.1562,0.1568,0.1576,0.1614,
0.1669,0.1771,0.1832,0.1865,0.1871,0.1895,0.1986,0.2000,0.2056,0.2104,
0.2116,0.2138,0.2169,0.2170,0.2213,0.2288,0.2292,0.2320,0.2322,0.2344,
0.2463,0.2492,0.2515,0.2530,0.2646,0.2681,0.2728,0.2735,0.2773,0.2805,
0.2854,0.2905,0.2909,0.2910,0.2923,0.2931,0.2937,0.3062,0.3107,0.3123,
0.3140,0.3141,0.3151,0.3223,0.3262,0.3281,0.3288,0.3367,0.3404,0.3405,
0.3429,0.3536,0.3631,0.3673,0.3843,0.3844,0.3904,0.3913,0.4003,0.4046,
0.4047,0.4075,0.4080,0.4108,0.4120,0.4150,0.4160,0.4305,0.4320,0.4333,
0.4395,0.4431,0.4475,0.4638,0.4666,0.4740,0.4741,0.4817,0.4823,0.4831,
0.4865,0.4982,0.5015,0.5057,0.5063,0.5066,0.5090,0.5090,0.5110,0.5134,
0.5141,0.5184,0.5342,0.5360,0.5366,0.5395,0.5399,0.5415,0.5436,0.5466,
0.5602,0.5634,0.5669,0.5681,0.5694,0.5725,0.5768,0.5802,0.5809,0.5884,
0.5901,0.5958,0.5975,0.5986,0.5992,0.6051,0.6060,0.6079,0.6168,0.6412,
0.6467,0.6469,0.6473,0.6528,0.6539,0.6561,0.6587,0.6599,0.6651,0.6689,
0.6825,0.6875,0.6947,0.6956,0.6976,0.6989,0.7097,0.7114,0.7202,0.7208,
0.7231,0.7236,0.7296,0.7380,0.7390,0.7411,0.7532,0.7533,0.7571,0.7577,
0.7675,0.7693,0.7697,0.7702,0.7787,0.7787,0.7789,0.7798,0.7801,0.7825,
0.7889,0.7986,0.7994,0.8051,0.8055,0.8062,0.8100,0.8132,0.8199,0.8218,
0.8262,0.8309,0.8352,0.8424,0.8427,0.8450,0.8502,0.8595,0.8602,0.8634,
0.8647,0.8670,0.8703,0.8729,0.8747,0.8761,0.8839,0.8854,0.8862,0.8882,
0.8896,0.8911,0.8912,0.8945,0.8996,0.9004,0.9006,0.9112,0.9153,0.9204,
0.9280,0.9328,0.9394,0.9408,0.9408,0.9460,0.9472,0.9491,0.9582,0.9587,
0.9620,0.9663,0.9770,0.9796,0.9827,0.9857,0.9880,0.9947,0.9985,
Overall p-value after applying KStest on 269 p-values = 0.685576
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.