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December 30, 2017 23:04
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Diehard test log for Method 1
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BIRTHDAY SPACINGS TEST, M= 512 N=2**24 LAMBDA= 2.0000 | |
data.bin using bits 1 to 24 p-value= .241977 | |
data.bin using bits 2 to 25 p-value= .994238 | |
data.bin using bits 3 to 26 p-value= .190980 | |
data.bin using bits 4 to 27 p-value= .088161 | |
data.bin using bits 5 to 28 p-value= .449030 | |
data.bin using bits 6 to 29 p-value= .584528 | |
data.bin using bits 7 to 30 p-value= .098073 | |
data.bin using bits 8 to 31 p-value= .549704 | |
data.bin using bits 9 to 32 p-value= .932893 | |
The 9 p-values were | |
.241977 .994238 .190980 .088161 .449030 | |
.584528 .098073 .549704 .932893 | |
A KSTEST for the 9 p-values yields .416227 | |
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OPERM5 test for file data.bin | |
chisquare for 99 degrees of freedom=119.546; p-value= .921722 | |
OPERM5 test for file data.bin | |
chisquare for 99 degrees of freedom=120.268; p-value= .928115 | |
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Binary rank test for data.bin | |
Rank test for 31x31 binary matrices: | |
rows from leftmost 31 bits of each 32-bit integer | |
rank observed expected (o-e)^2/e sum | |
28 201 211.4 .513367 .513 | |
29 5113 5134.0 .085982 .599 | |
30 23233 23103.0 .730978 1.330 | |
31 11453 11551.5 .840327 2.171 | |
chisquare= 2.171 for 3 d. of f.; p-value= .532582 | |
Binary rank test for data.bin | |
Rank test for 32x32 binary matrices: | |
rows from leftmost 32 bits of each 32-bit integer | |
rank observed expected (o-e)^2/e sum | |
29 231 211.4 1.813725 1.814 | |
30 5091 5134.0 .360319 2.174 | |
31 23105 23103.0 .000165 2.174 | |
32 11573 11551.5 .039926 2.214 | |
chisquare= 2.214 for 3 d. of f.; p-value= .539207 | |
-------------------------------------------------------------------------------- | |
b-rank test for bits 1 to 8 p=1-exp(-SUM/2)= .43840 | |
b-rank test for bits 2 to 9 p=1-exp(-SUM/2)= .35363 | |
b-rank test for bits 3 to 10 p=1-exp(-SUM/2)= .74991 | |
b-rank test for bits 4 to 11 p=1-exp(-SUM/2)= .64298 | |
b-rank test for bits 5 to 12 p=1-exp(-SUM/2)= .20293 | |
b-rank test for bits 6 to 13 p=1-exp(-SUM/2)= .19555 | |
b-rank test for bits 7 to 14 p=1-exp(-SUM/2)= .08982 | |
b-rank test for bits 8 to 15 p=1-exp(-SUM/2)= .72457 | |
b-rank test for bits 9 to 16 p=1-exp(-SUM/2)= .98542 | |
b-rank test for bits 10 to 17 p=1-exp(-SUM/2)= .55893 | |
b-rank test for bits 11 to 18 p=1-exp(-SUM/2)= .16223 | |
b-rank test for bits 12 to 19 p=1-exp(-SUM/2)= .30986 | |
b-rank test for bits 13 to 20 p=1-exp(-SUM/2)= .58396 | |
b-rank test for bits 14 to 21 p=1-exp(-SUM/2)= .83637 | |
b-rank test for bits 15 to 22 p=1-exp(-SUM/2)= .66995 | |
b-rank test for bits 16 to 23 p=1-exp(-SUM/2)= .93286 | |
b-rank test for bits 17 to 24 p=1-exp(-SUM/2)= .02672 | |
b-rank test for bits 18 to 25 p=1-exp(-SUM/2)= .73045 | |
b-rank test for bits 19 to 26 p=1-exp(-SUM/2)= .56014 | |
b-rank test for bits 20 to 27 p=1-exp(-SUM/2)= .65098 | |
b-rank test for bits 21 to 28 p=1-exp(-SUM/2)= .60648 | |
b-rank test for bits 22 to 29 p=1-exp(-SUM/2)= .82799 | |
b-rank test for bits 23 to 30 p=1-exp(-SUM/2)= .85926 | |
b-rank test for bits 24 to 31 p=1-exp(-SUM/2)= .87312 | |
b-rank test for bits 25 to 32 p=1-exp(-SUM/2)= .00031 | |
TEST SUMMARY, 25 tests on 100,000 random 6x8 matrices | |
These should be 25 uniform [0,1] random variables: | |
.438398 .353626 .749907 .642977 .202931 | |
.195552 .089820 .724568 .985425 .558933 | |
.162234 .309860 .583956 .836374 .669954 | |
.932861 .026719 .730451 .560139 .650981 | |
.606482 .827987 .859258 .873122 .000307 | |
brank test summary for data.bin | |
The KS test for those 25 supposed UNI's yields | |
KS p-value= .454085 | |
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No. missing words should average 141909. with sigma=428. | |
tst no 1: 142373 missing words, 1.08 sigmas from mean, p-value= .86067 | |
tst no 2: 142877 missing words, 2.26 sigmas from mean, p-value= .98812 | |
tst no 3: 142232 missing words, .75 sigmas from mean, p-value= .77455 | |
tst no 4: 142061 missing words, .35 sigmas from mean, p-value= .63847 | |
tst no 5: 142267 missing words, .84 sigmas from mean, p-value= .79833 | |
tst no 6: 142877 missing words, 2.26 sigmas from mean, p-value= .98812 | |
tst no 7: 142842 missing words, 2.18 sigmas from mean, p-value= .98534 | |
tst no 8: 142672 missing words, 1.78 sigmas from mean, p-value= .96262 | |
tst no 9: 141953 missing words, .10 sigmas from mean, p-value= .54064 | |
tst no 10: 142710 missing words, 1.87 sigmas from mean, p-value= .96931 | |
tst no 11: 141870 missing words, -.09 sigmas from mean, p-value= .46339 | |
tst no 12: 142609 missing words, 1.63 sigmas from mean, p-value= .94895 | |
tst no 13: 141613 missing words, -.69 sigmas from mean, p-value= .24436 | |
tst no 14: 141761 missing words, -.35 sigmas from mean, p-value= .36446 | |
tst no 15: 141864 missing words, -.11 sigmas from mean, p-value= .45783 | |
tst no 16: 142056 missing words, .34 sigmas from mean, p-value= .63408 | |
tst no 17: 142585 missing words, 1.58 sigmas from mean, p-value= .94279 | |
tst no 18: 142134 missing words, .52 sigmas from mean, p-value= .70019 | |
tst no 19: 142122 missing words, .50 sigmas from mean, p-value= .69037 | |
tst no 20: 142899 missing words, 2.31 sigmas from mean, p-value= .98962 | |
-------------------------------------------------------------------------------- | |
OPSO for data.bin using bits 23 to 32 142377 1.613 .9466 | |
OPSO for data.bin using bits 22 to 31 142396 1.678 .9533 | |
OPSO for data.bin using bits 21 to 30 142052 .492 .6886 | |
OPSO for data.bin using bits 20 to 29 142772 2.975 .9985 | |
OPSO for data.bin using bits 19 to 28 142444 1.844 .9674 | |
OPSO for data.bin using bits 18 to 27 142312 1.389 .9175 | |
OPSO for data.bin using bits 17 to 26 142090 .623 .7334 | |
OPSO for data.bin using bits 16 to 25 142560 2.244 .9876 | |
OPSO for data.bin using bits 15 to 24 142418 1.754 .9603 | |
OPSO for data.bin using bits 14 to 23 142195 .985 .8377 | |
OPSO for data.bin using bits 13 to 22 142058 .513 .6959 | |
OPSO for data.bin using bits 12 to 21 142413 1.737 .9588 | |
OPSO for data.bin using bits 11 to 20 142667 2.613 .9955 | |
OPSO for data.bin using bits 10 to 19 142402 1.699 .9553 | |
OPSO for data.bin using bits 9 to 18 142104 .671 .7490 | |
OPSO for data.bin using bits 8 to 17 142318 1.409 .9206 | |
OPSO for data.bin using bits 7 to 16 142023 .392 .6525 | |
OPSO for data.bin using bits 6 to 15 142576 2.299 .9892 | |
OPSO for data.bin using bits 5 to 14 141962 .182 .5721 | |
OPSO for data.bin using bits 4 to 13 142464 1.913 .9721 | |
OPSO for data.bin using bits 3 to 12 142474 1.947 .9742 | |
OPSO for data.bin using bits 2 to 11 142193 .978 .8360 | |
OPSO for data.bin using bits 1 to 10 142503 2.047 .9797 | |
OQSO for data.bin using bits 28 to 32 142087 .602 .7265 | |
OQSO for data.bin using bits 27 to 31 141834 -.255 .3992 | |
OQSO for data.bin using bits 26 to 30 141892 -.059 .4766 | |
OQSO for data.bin using bits 25 to 29 141834 -.255 .3992 | |
OQSO for data.bin using bits 24 to 28 141723 -.632 .2638 | |
OQSO for data.bin using bits 23 to 27 142757 2.873 .9980 | |
OQSO for data.bin using bits 22 to 26 142102 .653 .7432 | |
OQSO for data.bin using bits 21 to 25 142351 1.497 .9328 | |
OQSO for data.bin using bits 20 to 24 142153 .826 .7956 | |
OQSO for data.bin using bits 19 to 23 141755 -.523 .3004 | |
OQSO for data.bin using bits 18 to 22 141440 -1.591 .0558 | |
OQSO for data.bin using bits 17 to 21 142094 .626 .7343 | |
OQSO for data.bin using bits 16 to 20 142557 2.195 .9859 | |
OQSO for data.bin using bits 15 to 19 141786 -.418 .3380 | |
OQSO for data.bin using bits 14 to 18 142342 1.467 .9288 | |
OQSO for data.bin using bits 13 to 17 142694 2.660 .9961 | |
OQSO for data.bin using bits 12 to 16 142134 .762 .7769 | |
OQSO for data.bin using bits 11 to 15 142065 .528 .7011 | |
OQSO for data.bin using bits 10 to 14 142081 .582 .7197 | |
OQSO for data.bin using bits 9 to 13 142451 1.836 .9668 | |
OQSO for data.bin using bits 8 to 12 142026 .395 .6538 | |
OQSO for data.bin using bits 7 to 11 142247 1.145 .8738 | |
OQSO for data.bin using bits 6 to 10 142103 .657 .7443 | |
OQSO for data.bin using bits 5 to 9 142253 1.165 .8780 | |
OQSO for data.bin using bits 4 to 8 142191 .955 .8302 | |
OQSO for data.bin using bits 3 to 7 142142 .789 .7849 | |
OQSO for data.bin using bits 2 to 6 142069 .541 .7058 | |
OQSO for data.bin using bits 1 to 5 142679 2.609 .9955 | |
DNA for data.bin using bits 31 to 32 142022 .332 .6302 | |
DNA for data.bin using bits 30 to 31 142227 .937 .8256 | |
DNA for data.bin using bits 29 to 30 141734 -.517 .3025 | |
DNA for data.bin using bits 28 to 29 141743 -.491 .3118 | |
DNA for data.bin using bits 27 to 28 141799 -.325 .3724 | |
DNA for data.bin using bits 26 to 27 142097 .554 .7101 | |
DNA for data.bin using bits 25 to 26 142479 1.680 .9536 | |
DNA for data.bin using bits 24 to 25 142471 1.657 .9512 | |
DNA for data.bin using bits 23 to 24 141763 -.432 .3330 | |
DNA for data.bin using bits 22 to 23 141769 -.414 .3395 | |
DNA for data.bin using bits 21 to 22 141477 -1.275 .1011 | |
DNA for data.bin using bits 20 to 21 141295 -1.812 .0350 | |
DNA for data.bin using bits 19 to 20 141590 -.942 .1731 | |
DNA for data.bin using bits 18 to 19 142505 1.757 .9606 | |
DNA for data.bin using bits 17 to 18 141806 -.305 .3803 | |
DNA for data.bin using bits 16 to 17 142902 2.928 .9983 | |
DNA for data.bin using bits 15 to 16 142392 1.424 .9227 | |
DNA for data.bin using bits 14 to 15 141791 -.349 .3635 | |
DNA for data.bin using bits 13 to 14 141937 .082 .5325 | |
DNA for data.bin using bits 12 to 13 142082 .509 .6947 | |
DNA for data.bin using bits 11 to 12 141950 .120 .5477 | |
DNA for data.bin using bits 10 to 11 141861 -.143 .4433 | |
DNA for data.bin using bits 9 to 10 142934 3.023 .9987 | |
DNA for data.bin using bits 8 to 9 142933 3.020 .9987 | |
DNA for data.bin using bits 7 to 8 142679 2.270 .9884 | |
DNA for data.bin using bits 6 to 7 141384 -1.550 .0606 | |
DNA for data.bin using bits 5 to 6 142134 .663 .7463 | |
DNA for data.bin using bits 4 to 5 141668 -.712 .2383 | |
DNA for data.bin using bits 3 to 4 141504 -1.196 .1159 | |
DNA for data.bin using bits 2 to 3 141955 .135 .5536 | |
DNA for data.bin using bits 1 to 2 142982 3.164 .9992 | |
-------------------------------------------------------------------------------- | |
Test results for data.bin | |
Chi-square with 5^5-5^4=2500 d.of f. for sample size:2560000 | |
chisquare equiv normal p-value | |
Results fo COUNT-THE-1's in successive bytes: | |
byte stream for data.bin 5498.27 42.402 1.000000 | |
byte stream for data.bin 4181.07 23.774 1.000000 | |
-------------------------------------------------------------------------------- | |
Chi-square with 5^5-5^4=2500 d.of f. for sample size: 256000 | |
chisquare equiv normal p value | |
Results for COUNT-THE-1's in specified bytes: | |
bits 1 to 8 2410.39 -1.267 .102525 | |
bits 2 to 9 2460.26 -.562 .287032 | |
bits 3 to 10 2611.91 1.583 .943254 | |
bits 4 to 11 2410.89 -1.260 .103800 | |
bits 5 to 12 2593.65 1.324 .907309 | |
bits 6 to 13 2440.47 -.842 .199932 | |
bits 7 to 14 2532.04 .453 .674785 | |
bits 8 to 15 2515.84 .224 .588629 | |
bits 9 to 16 2501.46 .021 .508262 | |
bits 10 to 17 2479.15 -.295 .384037 | |
bits 11 to 18 2403.30 -1.367 .085735 | |
bits 12 to 19 2555.67 .787 .784426 | |
bits 13 to 20 2663.01 2.305 .989424 | |
bits 14 to 21 2524.37 .345 .634795 | |
bits 15 to 22 2491.19 -.125 .450424 | |
bits 16 to 23 2496.91 -.044 .482576 | |
bits 17 to 24 2540.91 .579 .718539 | |
bits 18 to 25 2482.82 -.243 .404004 | |
bits 19 to 26 2592.94 1.314 .905627 | |
bits 20 to 27 2549.87 .705 .759672 | |
bits 21 to 28 2539.28 .556 .710742 | |
bits 22 to 29 2464.96 -.496 .310096 | |
bits 23 to 30 2580.23 1.135 .871726 | |
bits 24 to 31 2562.78 .888 .812670 | |
bits 25 to 32 2513.21 .187 .574115 | |
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CDPARK: result of ten tests on file data.bin | |
Of 12,000 tries, the average no. of successes | |
should be 3523 with sigma=21.9 | |
Successes: 3504 z-score: -.868 p-value: .192812 | |
Successes: 3468 z-score: -2.511 p-value: .006012 | |
Successes: 3510 z-score: -.594 p-value: .276387 | |
Successes: 3518 z-score: -.228 p-value: .409702 | |
Successes: 3522 z-score: -.046 p-value: .481790 | |
Successes: 3510 z-score: -.594 p-value: .276387 | |
Successes: 3533 z-score: .457 p-value: .676028 | |
Successes: 3523 z-score: .000 p-value: .500000 | |
Successes: 3535 z-score: .548 p-value: .708135 | |
Successes: 3551 z-score: 1.279 p-value: .899470 | |
square size avg. no. parked sample sigma | |
100. 3517.400 21.120 | |
KSTEST for the above 10: p= .285528 | |
-------------------------------------------------------------------------------- | |
This is the MINIMUM DISTANCE test | |
for random integers in the file data.bin | |
Sample no. d^2 avg equiv uni | |
5 .2050 1.0526 .186208 | |
10 .8037 .7519 .554117 | |
15 .2750 .7991 .241488 | |
20 1.5491 .7198 .789215 | |
25 .9855 .8667 .628588 | |
30 .5342 .9876 .415410 | |
35 .9556 1.1248 .617246 | |
40 2.9874 1.1784 .950334 | |
45 .4764 1.1424 .380469 | |
50 .1316 1.1082 .123849 | |
55 .4524 1.1350 .365333 | |
60 1.0353 1.1684 .646735 | |
65 .9410 1.1733 .611618 | |
70 .8638 1.1229 .580270 | |
75 .0259 1.1350 .025735 | |
80 .5710 1.0978 .436661 | |
85 .2961 1.1009 .257366 | |
90 .0754 1.1035 .072950 | |
95 .4577 1.0781 .368685 | |
100 .3561 1.0569 .300855 | |
MINIMUM DISTANCE TEST for data.bin | |
Result of KS test on 20 transformed mindist^2's: | |
p-value= .115895 | |
-------------------------------------------------------------------------------- | |
The 3DSPHERES test for file data.bin | |
sample no: 1 r^3= 39.854 p-value= .73512 | |
sample no: 2 r^3= 6.345 p-value= .19063 | |
sample no: 3 r^3= 2.985 p-value= .09472 | |
sample no: 4 r^3= 3.255 p-value= .10283 | |
sample no: 5 r^3= 6.452 p-value= .19351 | |
sample no: 6 r^3= 25.759 p-value= .57625 | |
sample no: 7 r^3= 50.047 p-value= .81142 | |
sample no: 8 r^3= 12.014 p-value= .33000 | |
sample no: 9 r^3= 24.398 p-value= .55660 | |
sample no: 10 r^3= 21.328 p-value= .50881 | |
sample no: 11 r^3= 40.809 p-value= .74342 | |
sample no: 12 r^3= 1.185 p-value= .03872 | |
sample no: 13 r^3= 48.150 p-value= .79911 | |
sample no: 14 r^3= 11.927 p-value= .32805 | |
sample no: 15 r^3= 14.211 p-value= .37731 | |
sample no: 16 r^3= 5.047 p-value= .15486 | |
sample no: 17 r^3= 15.368 p-value= .40087 | |
sample no: 18 r^3= .756 p-value= .02488 | |
sample no: 19 r^3= 56.696 p-value= .84891 | |
sample no: 20 r^3= 13.379 p-value= .35980 | |
3DSPHERES test for file data.bin p-value= .731855 | |
-------------------------------------------------------------------------------- | |
RESULTS OF SQUEEZE TEST FOR data.bin | |
Table of standardized frequency counts | |
( (obs-exp)/sqrt(exp) )^2 | |
for j taking values <=6,7,8,...,47,>=48: | |
1.3 2.6 1.8 2.1 1.3 1.5 | |
1.6 1.4 1.9 4.2 3.7 2.7 | |
5.1 4.4 2.5 2.8 2.3 -.3 | |
-.5 -1.5 -3.0 -1.5 -2.1 -5.6 | |
-5.9 -4.2 -5.4 -2.5 -4.6 -2.1 | |
-2.8 -3.4 -2.4 -.8 -1.3 -1.4 | |
.5 -2.0 -2.4 -.1 .1 -1.0 | |
-1.1 | |
Chi-square with 42 degrees of freedom:335.535 | |
z-score= 32.027 p-value=1.000000 | |
______________________________________________________________ | |
-------------------------------------------------------------------------------- | |
Test no. 1 p-value .898521 | |
Test no. 2 p-value .564103 | |
Test no. 3 p-value .830480 | |
Test no. 4 p-value .020993 | |
Test no. 5 p-value .319630 | |
Test no. 6 p-value .482049 | |
Test no. 7 p-value .389168 | |
Test no. 8 p-value .051446 | |
Test no. 9 p-value .857243 | |
Test no. 10 p-value .573609 | |
Results of the OSUM test for data.bin | |
KSTEST on the above 10 p-values: .128523 | |
-------------------------------------------------------------------------------- | |
The RUNS test for file data.bin | |
Up and down runs in a sample of 10000 | |
_________________________________________________ | |
Run test for data.bin : | |
runs up; ks test for 10 p's: .736332 | |
runs down; ks test for 10 p's: .716585 | |
Run test for data.bin : | |
runs up; ks test for 10 p's: .807277 | |
runs down; ks test for 10 p's: .065076 | |
-------------------------------------------------------------------------------- | |
Results of craps test for data.bin | |
No. of wins: Observed Expected | |
98199 98585.86 | |
Chisq= 34.95 for 20 degrees of freedom, p= .97963 | |
Throws Observed Expected Chisq Sum | |
SUMMARY FOR data.bin | |
p-value for no. of wins: .041792 | |
p-value for throws/game: .979629 | |
Test completed. File data.bin | |
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