RESULTS OF BIRTHDAY SPACINGS FOR dh-ranFile-2018-06-14_17:31
(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 22.3335 0.827767
2 to 25 15.82 10.7686 0.131663
3 to 26 15.73 15.4276 0.435287
4 to 27 15.56 25.2183 0.910070
5 to 28 15.61 18.9088 0.666205
6 to 29 16.09 9.8811 0.091478
7 to 30 15.64 24.6091 0.896191
8 to 31 16.20 13.6995 0.311753
9 to 32 16.04 16.5768 0.516626
Chisquare degrees of freedom: 17
---------------------------------------------------------------
p-value for KStest on those 9 p-values: 0.964050
Tough bday spacings test for dh-ranFile-2018-06-14_17:31: 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 11 37 65 108 100 65 51 32 18 7 6
(O-E)^2/E 0.4 0.0 0.9 1.1 0.1 2.2 0.0 0.2 0.7 0.0 0.9
Birthday Spacings: Sum(O-E)^2/E= 6.446, p= 0.224
RESULTS OF GCD FOR dh-ranFile-2018-06-14_17:31
Euclid's algorithm:
p-value, steps to gcd: 0.947825
p-value, dist. of gcd's: 0.085151
Gorilla test for 2^26 bits, positions 0 to 31 for dh-ranFile-2018-06-14_17:31:
Note: lengthy test---for example, ~20 minutes for 850MHz PC
Bits 0 to 7---> 0.125 0.949 0.306 0.288 0.992 0.386 0.870 0.389
Bits 8 to 15---> 0.112 0.941 0.943 0.232 0.160 0.510 0.152 0.193
Bits 16 to 23---> 0.512 0.302 0.271 0.083 0.619 0.347 0.992 0.527
Bits 24 to 31---> 0.669 0.480 0.722 0.970 0.009 0.053 0.517 0.082
KS test for the above 32 p values: 0.750
The OPERM5 test for 10 million (overlapping) 5-tuples for dh-ranFile-2018-06-14_17:31,
p-values for 5 runs: 0.3867, 0.1334, 0.4808, 0.4440, 0.6821
Rank test for binary matrices (31x31) for dh-ranFile-2018-06-14_17:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=28 211 211.4 0.001 0.001
r= 29 5085 5134.0 0.468 0.469
r= 30 23066 23103.0 0.059 0.528
r= 31 11638 11551.5 0.647 1.175
chi-square = 1.175 with df = 3; p-value = 0.241
--------------------------------------------------------------
Rank test for binary matrices (32x32) for dh-ranFile-2018-06-14_17:31
RANK OBSERVED EXPECTED (O-E)^2/E SUM
r<=29 219 211.4 0.272 0.272
r= 30 5119 5134.0 0.044 0.316
r= 31 23153 23103.0 0.108 0.424
r= 32 11509 11551.5 0.157 0.580
chi-square = 0.580 with df = 3; p-value = 0.099
--------------------------------------------------------------
Rank test for binary matrices (6x8) for dh-ranFile-2018-06-14_17:31
b-rank test for bits 1 to 8, p=0.22083
b-rank test for bits 2 to 9, p=0.36994
b-rank test for bits 3 to 10, p=0.20099
b-rank test for bits 4 to 11, p=0.34263
b-rank test for bits 5 to 12, p=0.86675
b-rank test for bits 6 to 13, p=0.21136
b-rank test for bits 7 to 14, p=0.50798
b-rank test for bits 8 to 15, p=0.75706
b-rank test for bits 9 to 16, p=0.27357
b-rank test for bits 10 to 17, p=0.87295
b-rank test for bits 11 to 18, p=0.75704
b-rank test for bits 12 to 19, p=0.64183
b-rank test for bits 13 to 20, p=0.13010
b-rank test for bits 14 to 21, p=0.26052
b-rank test for bits 15 to 22, p=0.60935
b-rank test for bits 16 to 23, p=0.45270
b-rank test for bits 17 to 24, p=0.99297
b-rank test for bits 18 to 25, p=0.84771
b-rank test for bits 19 to 26, p=0.47166
b-rank test for bits 20 to 27, p=0.48205
b-rank test for bits 21 to 28, p=0.22434
b-rank test for bits 22 to 29, p=0.82586
b-rank test for bits 23 to 30, p=0.28275
b-rank test for bits 24 to 31, p=0.85300
b-rank test for bits 25 to 32, p=0.61101
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 = 0.611809
THE OVERLAPPING 20-TUPLES BITSTREAM TEST for dh-ranFile-2018-06-14_17:31
(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 142601 1.62 0.946958
2 141981 0.17 0.566493
3 141859 -0.12 0.453195
4 141844 -0.15 0.439341
5 141910 0.00 0.500625
6 141714 -0.46 0.324059
7 141508 -0.94 0.174203
8 141761 -0.35 0.364459
9 142011 0.24 0.593884
10 142145 0.55 0.709057
11 142224 0.74 0.768894
12 141715 -0.45 0.324899
13 141413 -1.16 0.123096
14 142038 0.30 0.618152
15 141571 -0.79 0.214621
16 142318 0.95 0.830170
17 142458 1.28 0.900068
18 141879 -0.07 0.471753
19 142480 1.33 0.908790
20 141461 -1.05 0.147435
----------------------------------------------------------------
OPSO test for dh-ranFile-2018-06-14_17:31
Bits used No. missing words z-score p-value
23 to 32 141998 0.3058 0.620106
22 to 31 141960 0.1747 0.569352
21 to 30 141730 -0.6184 0.268163
20 to 29 141731 -0.6149 0.269300
19 to 28 142395 1.6747 0.953006
18 to 27 142212 1.0437 0.851686
17 to 26 141976 0.2299 0.590914
16 to 25 142303 1.3575 0.912686
15 to 24 142097 0.6471 0.741229
14 to 23 142217 1.0609 0.855639
13 to 22 142061 0.5230 0.699513
12 to 21 141904 -0.0184 0.492668
11 to 20 142046 0.4713 0.681278
10 to 19 142371 1.5920 0.944304
9 to 18 142246 1.1609 0.877165
8 to 17 141698 -0.7287 0.233085
7 to 16 141891 -0.0632 0.474801
6 to 15 142215 1.0540 0.854066
5 to 14 142211 1.0402 0.850886
4 to 13 141867 -0.1460 0.441974
3 to 12 141958 0.1678 0.566641
2 to 11 141504 -1.3977 0.081103
1 to 10 141250 -2.2736 0.011496
-----------------------------------------------------------------
OQSO test for dh-ranFile-2018-06-14_17:31
Bits used No. missing words z-score p-value
28 to 32 142095 0.6294 0.735453
27 to 31 141316 -2.0113 0.022148
26 to 30 141766 -0.4859 0.313532
25 to 29 141811 -0.3333 0.369446
24 to 28 141569 -1.1537 0.124320
23 to 27 142070 0.5446 0.707001
22 to 26 142319 1.3887 0.917540
21 to 25 141637 -0.9232 0.177964
20 to 24 141940 0.1040 0.541402
19 to 23 142483 1.9446 0.974091
18 to 22 141898 -0.0384 0.484682
17 to 21 142165 0.8667 0.806941
16 to 20 141999 0.3040 0.619423
15 to 19 141906 -0.0113 0.495497
14 to 18 141541 -1.2486 0.105910
13 to 17 141858 -0.1740 0.430933
12 to 16 141470 -1.4893 0.068210
11 to 15 141592 -1.0757 0.141032
10 to 14 141970 0.2057 0.581472
9 to 13 141779 -0.4418 0.329318
8 to 12 141551 -1.2147 0.112244
7 to 11 142276 1.2429 0.893057
6 to 10 141917 0.0260 0.510371
5 to 9 141918 0.0294 0.511723
4 to 8 142146 0.8023 0.788802
3 to 7 141554 -1.2045 0.114197
2 to 6 141683 -0.7672 0.221475
1 to 5 141609 -1.0181 0.154323
-----------------------------------------------------------------
DNA test for dh-ranFile-2018-06-14_17:31
Bits used No. missing words z-score p-value
31 to 32 141984 0.2203 0.587168
30 to 31 142223 0.9253 0.822590
29 to 30 142218 0.9105 0.818729
28 to 29 141827 -0.2429 0.404056
27 to 28 141991 0.2409 0.595189
26 to 27 141362 -1.6145 0.053205
25 to 26 141566 -1.0128 0.155584
24 to 25 141807 -0.3019 0.381380
23 to 24 142094 0.5447 0.707037
22 to 23 142000 0.2675 0.605444
21 to 22 141154 -2.2281 0.012937
20 to 21 142000 0.2675 0.605444
19 to 20 141568 -1.0069 0.156998
18 to 19 142183 0.8073 0.790249
17 to 18 142289 1.1200 0.868637
16 to 17 141770 -0.4110 0.340535
15 to 16 141861 -0.1426 0.443316
14 to 15 141544 -1.0777 0.140591
13 to 14 142411 1.4799 0.930544
12 to 13 141812 -0.2871 0.387014
11 to 12 141962 0.1554 0.561735
10 to 11 141565 -1.0157 0.154881
9 to 10 141536 -1.1013 0.135390
8 to 9 142103 0.5713 0.716101
7 to 8 141586 -0.9538 0.170099
6 to 7 142064 0.4563 0.675896
5 to 6 142182 0.8043 0.789399
4 to 5 142273 1.0728 0.858314
3 to 4 141477 -1.2753 0.101100
2 to 3 141806 -0.3048 0.380256
1 to 2 141904 -0.0157 0.493728
-----------------------------------------------------------------
Test result COUNT-THE-1's in bytes for dh-ranFile-2018-06-14_17:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 2560000)
chisquare z-score p-value
2580.88 1.144 0.873652
Test results for specific bytes for dh-ranFile-2018-06-14_17:31
(Degrees of freedom: 5^4-5^3=2500; sample size: 256000)
bits used chisquare z-score p-value
1 to 8 2362.49 -1.945 0.025907
2 to 9 2435.29 -0.915 0.180043
3 to 10 2490.03 -0.141 0.443930
4 to 11 2494.17 -0.082 0.467144
5 to 12 2517.33 0.245 0.596806
6 to 13 2397.50 -1.450 0.073583
7 to 14 2561.44 0.869 0.807560
8 to 15 2459.24 -0.576 0.282154
9 to 16 2567.21 0.951 0.829084
10 to 17 2649.13 2.109 0.982530
11 to 18 2533.51 0.474 0.682192
12 to 19 2458.26 -0.590 0.277485
13 to 20 2467.07 -0.466 0.320719
14 to 21 2608.84 1.539 0.938127
15 to 22 2406.67 -1.320 0.093443
16 to 23 2454.34 -0.646 0.259232
17 to 24 2419.10 -1.144 0.126303
18 to 25 2638.52 1.959 0.974943
19 to 26 2499.88 -0.002 0.499317
20 to 27 2450.81 -0.696 0.243316
21 to 28 2479.07 -0.296 0.383626
22 to 29 2438.88 -0.864 0.193687
23 to 30 2496.25 -0.053 0.478861
24 to 31 2530.27 0.428 0.665716
25 to 32 2567.89 0.960 0.831487
CDPARK for dh-ranFile-2018-06-14_17:31: 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
3508 -0.6849 0.246694
3523 0.0000 0.500000
3532 0.4110 0.659449
3551 1.2785 0.899470
3533 0.4566 0.676028
3526 0.1370 0.554479
3526 0.1370 0.554479
3561 1.7352 0.958644
3522 -0.0457 0.481790
3540 0.7763 0.781201
Square side=100, avg. no. parked=3532.20 sample std.=14.48
p-value of the KSTEST for those 10 p-values: 0.199738
Results for the MINIMUM DISTANCE test for dh-ranFile-2018-06-14_17:31
0.2528,0.3338,0.5875,0.3701,0.7525,0.7385,0.5350,0.4739,0.3463,0.1315,
The KS test for those 10 p-values: 0.465766
The 3DSPHERES test for dh-ranFile-2018-06-14_17:31
sample no r^3 equiv. uni.
1 3.925 0.122636
2 21.860 0.517452
3 35.431 0.693034
4 86.523 0.944096
5 87.420 0.945742
6 25.285 0.569516
7 1.142 0.037353
8 4.086 0.127339
9 17.324 0.438675
10 44.723 0.774797
11 9.450 0.270205
12 13.579 0.364039
13 23.682 0.545879
14 42.275 0.755656
15 21.757 0.515788
16 13.794 0.368600
17 25.109 0.566973
18 23.829 0.548099
19 4.237 0.131707
20 3.047 0.096564
--------------------------------------------------------------
p-value for KS test on those 20 p-values: 0.760181
RESULTS OF SQUEEZE TEST FOR dh-ranFile-2018-06-14_17:31
Table of standardized frequency counts
(obs-exp)^2/exp for j=(1,..,6), 7,...,47,(48,...)
-0.1 -1.2 -0.1 1.5 -0.5 -0.6
-1.2 -0.9 -0.6 0.8 0.6 -0.3
0.8 -0.4 -0.1 -0.9 -0.5 1.1
-0.0 1.0 -0.6 0.6 0.7 -1.3
-0.3 -0.3 0.2 1.5 -0.4 -0.7
0.6 -0.5 -1.1 1.3 0.1 -1.9
-0.5 1.1 -0.8 0.4 1.6 1.0
-0.1
Chi-square with 42 degrees of freedom:31.297607
z-score=-1.167727, p-value=0.113060
_____________________________________________________________
Results of the OSUM test for dh-ranFile-2018-06-14_17:31
Test no p-value
1 0.090466
2 0.088953
3 0.135792
4 0.542627
5 0.081327
6 0.243646
7 0.479449
8 0.909635
9 0.193131
10 0.698766
_____________________________________________________________
p-value for 10 kstests on 100 sums: 0.109807
Test for lengths of runs up and runs down, 100,000 each for dh-ranFile-2018-06-14_17:31:
(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 66583 0.11 66640 0.01
3 25000.00 25149 0.89 25046 0.08
4 6666.67 6595 0.77 6596 0.75
5 1388.89 1398 0.06 1439 1.81
6 238.10 242 0.06 234 0.07
7 34.72 27 1.72 39 0.53
8 4.96 5 0.00 5 0.00
p=0.26994 p=0.22322
Number of rngs required: 690007, p-value: 0.971
RESULTS OF CRAPS TEST for dh-ranFile-2018-06-14_17:31
No. of wins: Observed Expected
98922 98585.9
z-score= 1.503, pvalue=0.93363
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66572 66666.7 0.134 0.134
2 37560 37654.3 0.236 0.371
3 26932 26954.7 0.019 0.390
4 19437 19313.5 0.790 1.180
5 13870 13851.4 0.025 1.205
6 9975 9943.5 0.100 1.305
7 7076 7145.0 0.667 1.971
8 5212 5139.1 1.035 3.006
9 3668 3699.9 0.274 3.281
10 2767 2666.3 3.803 7.084
11 1997 1923.3 2.822 9.906
12 1420 1388.7 0.704 10.610
13 989 1003.7 0.216 10.825
14 681 726.1 2.806 13.632
15 480 525.8 3.995 17.627
16 365 381.2 0.684 18.311
17 271 276.5 0.111 18.422
18 182 200.8 1.765 20.188
19 141 146.0 0.170 20.358
20 119 106.2 1.539 21.897
21 286 287.1 0.004 21.901
Chisq= 21.90 for 20 degrees of freedom, p= 0.65410
SUMMARY of craptest
p-value for no. of wins: 0.933635
p-value for throws/game: 0.654099
_____________________________________________________________
RESULTS OF CRAPS TEST2 for dh-ranFile-2018-06-14_17:31
No. of wins: Observed Expected
98660 98585.9
z-score= 0.332, pvalue=0.62991
Analysis of Throws-per-Game:
Throws Observed Expected Chisq Sum of (O-E)^2/E
1 66581 66666.7 0.110 0.110
2 37878 37654.3 1.329 1.439
3 27073 26954.7 0.519 1.958
4 19145 19313.5 1.469 3.427
5 13925 13851.4 0.391 3.818
6 9979 9943.5 0.126 3.944
7 6971 7145.0 4.239 8.183
8 5149 5139.1 0.019 8.202
9 3691 3699.9 0.021 8.223
10 2642 2666.3 0.221 8.445
11 1955 1923.3 0.522 8.966
12 1387 1388.7 0.002 8.969
13 954 1003.7 2.462 11.431
14 731 726.1 0.033 11.464
15 494 525.8 1.927 13.391
16 388 381.2 0.123 13.514
17 288 276.5 0.475 13.989
18 217 200.8 1.302 15.291
19 152 146.0 0.248 15.539
20 116 106.2 0.901 16.440
21 284 287.1 0.034 16.474
Chisq= 16.47 for 20 degrees of freedom, p= 0.31319
SUMMARY of craptest
p-value for no. of wins: 0.629906
p-value for throws/game: 0.313185
_____________________________________________________________
***** TEST SUMMARY *****
All p-values:
0.0092,0.0115,0.0129,0.0221,0.0259,0.0374,0.0532,0.0532,0.0682,0.0736,
0.0811,0.0813,0.0820,0.0833,0.0852,0.0890,0.0905,0.0915,0.0934,0.0966,
0.0991,0.1011,0.1059,0.1098,0.1122,0.1125,0.1131,0.1142,0.1226,0.1231,
0.1243,0.1253,0.1263,0.1273,0.1301,0.1315,0.1317,0.1317,0.1334,0.1354,
0.1358,0.1406,0.1410,0.1474,0.1521,0.1543,0.1549,0.1556,0.1570,0.1603,
0.1701,0.1742,0.1780,0.1800,0.1927,0.1931,0.1937,0.1997,0.2010,0.2114,
0.2146,0.2208,0.2215,0.2232,0.2235,0.2243,0.2320,0.2331,0.2411,0.2433,
0.2436,0.2467,0.2528,0.2592,0.2605,0.2682,0.2693,0.2699,0.2702,0.2715,
0.2736,0.2775,0.2822,0.2828,0.2875,0.3021,0.3058,0.3118,0.3132,0.3135,
0.3207,0.3241,0.3249,0.3293,0.3338,0.3405,0.3426,0.3463,0.3473,0.3640,
0.3645,0.3686,0.3694,0.3699,0.3701,0.3803,0.3814,0.3836,0.3861,0.3867,
0.3870,0.3894,0.4041,0.4309,0.4353,0.4387,0.4393,0.4420,0.4433,0.4439,
0.4440,0.4527,0.4532,0.4658,0.4671,0.4717,0.4718,0.4739,0.4748,0.4789,
0.4794,0.4804,0.4808,0.4818,0.4820,0.4847,0.4927,0.4937,0.4955,0.4993,
0.5000,0.5006,0.5080,0.5097,0.5104,0.5117,0.5124,0.5158,0.5166,0.5171,
0.5175,0.5271,0.5350,0.5414,0.5426,0.5459,0.5481,0.5545,0.5545,0.5617,
0.5665,0.5666,0.5670,0.5694,0.5695,0.5815,0.5872,0.5875,0.5909,0.5939,
0.5952,0.5968,0.6054,0.6054,0.6094,0.6110,0.6118,0.6182,0.6189,0.6194,
0.6201,0.6299,0.6418,0.6541,0.6594,0.6657,0.6662,0.6688,0.6759,0.6760,
0.6813,0.6821,0.6822,0.6930,0.6988,0.6995,0.7070,0.7070,0.7091,0.7161,
0.7222,0.7355,0.7385,0.7412,0.7505,0.7525,0.7557,0.7570,0.7571,0.7602,
0.7689,0.7748,0.7812,0.7888,0.7894,0.7902,0.8069,0.8076,0.8187,0.8226,
0.8259,0.8278,0.8291,0.8302,0.8315,0.8477,0.8509,0.8517,0.8530,0.8541,
0.8556,0.8583,0.8667,0.8686,0.8699,0.8730,0.8737,0.8772,0.8931,0.8962,
0.8995,0.9001,0.9088,0.9096,0.9101,0.9127,0.9175,0.9305,0.9336,0.9381,
0.9414,0.9429,0.9441,0.9443,0.9457,0.9470,0.9478,0.9489,0.9530,0.9586,
0.9640,0.9703,0.9705,0.9741,0.9749,0.9825,0.9915,0.9923,0.9930,
Overall p-value after applying KStest on 269 p-values = 0.489291
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.