http://git-wip-us.apache.org/repos/asf/commons-rng/blob/a61e17b9/src/site/resources/txt/userguide/stress/tu/run_2/tu_4 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_2/tu_4 b/src/site/resources/txt/userguide/stress/tu/run_2/tu_4 index 9537fad..24d04bb 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_2/tu_4 +++ b/src/site/resources/txt/userguide/stress/tu/run_2/tu_4 @@ -1,9 +1,9 @@ # -# RNG: org.apache.commons.rng.internal.source32.Well1024a +# RNG: org.apache.commons.rng.core.source32.Well1024a # -# Java: 1.8.0_66 -# Runtime: 1.8.0_66-b17 -# JVM: Java HotSpot(TM) 64-Bit Server VM 25.66-b17 +# Java: 1.8.0_111 +# Runtime: 1.8.0_111-b14 +# JVM: Java HotSpot(TM) 64-Bit Server VM 25.111-b14 # OS: Linux 3.16.0-4-amd64 amd64 # # Analyzer: ./stdin2testu01 BigCrush @@ -42,11 +42,11 @@ Test Results for Delta = 1.0000 Number of degrees of freedom : 16711680 Value of the statistic : 1.67e+7 -p-value of test : 0.13 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:02:35.03 +CPU time used : 00:02:34.81 Generator state: N/A @@ -81,11 +81,11 @@ Test Results for Delta = 1.0000 Number of degrees of freedom : 16711680 Value of the statistic : 1.67e+7 -p-value of test : 0.24 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:02:53.47 +CPU time used : 00:02:34.76 Generator state: N/A @@ -123,21 +123,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1335 -p-value of test : 0.78 +Observed number of collisions : 1422 +p-value of test : 0.06 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334455 - j = 1 : 599997330 - j = 2 : 1335 + j = 0 : 131940795334542 + j = 1 : 599997156 + j = 2 : 1422 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:51.14 +CPU time used : 00:05:19.74 Generator state: N/A @@ -175,21 +175,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1302 -p-value of test : 0.95 +Observed number of collisions : 1412 +p-value of test : 0.10 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334422 - j = 1 : 599997396 - j = 2 : 1302 + j = 0 : 131940795334532 + j = 1 : 599997176 + j = 2 : 1412 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:10.90 +CPU time used : 00:06:47.83 Generator state: N/A @@ -227,21 +227,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1338 -p-value of test : 0.76 +Observed number of collisions : 1398 +p-value of test : 0.18 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334458 - j = 1 : 599997324 - j = 2 : 1338 + j = 0 : 131940795334518 + j = 1 : 599997204 + j = 2 : 1398 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:51.25 +CPU time used : 00:09:54.29 Generator state: N/A @@ -279,21 +279,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1372 -p-value of test : 0.42 +Observed number of collisions : 1364 +p-value of test : 0.50 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334492 - j = 1 : 599997256 - j = 2 : 1372 + j = 0 : 131940795334484 + j = 1 : 599997272 + j = 2 : 1364 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:01.94 +CPU time used : 00:10:02.15 Generator state: N/A @@ -331,21 +331,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1335 -p-value of test : 0.78 +Observed number of collisions : 1351 +p-value of test : 0.63 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334455 - j = 1 : 599997330 - j = 2 : 1335 + j = 0 : 131940795334471 + j = 1 : 599997298 + j = 2 : 1351 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:54.84 +CPU time used : 00:09:56.30 Generator state: N/A @@ -383,21 +383,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1368 -p-value of test : 0.46 +Observed number of collisions : 1323 +p-value of test : 0.87 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334488 - j = 1 : 599997264 - j = 2 : 1368 + j = 0 : 131940795334443 + j = 1 : 599997354 + j = 2 : 1323 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:34.86 +CPU time used : 00:10:06.98 Generator state: N/A @@ -435,21 +435,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1403 -p-value of test : 0.15 +Observed number of collisions : 1341 +p-value of test : 0.73 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334523 - j = 1 : 599997194 - j = 2 : 1403 + j = 0 : 131940795334461 + j = 1 : 599997318 + j = 2 : 1341 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:52.48 +CPU time used : 00:09:47.11 Generator state: N/A @@ -487,21 +487,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1346 -p-value of test : 0.68 +Observed number of collisions : 1343 +p-value of test : 0.71 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334466 - j = 1 : 599997308 - j = 2 : 1346 + j = 0 : 131940795334463 + j = 1 : 599997314 + j = 2 : 1343 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:07.77 +CPU time used : 00:09:35.97 Generator state: N/A @@ -539,21 +539,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1473 -p-value of test : 1.9e-3 +Observed number of collisions : 1348 +p-value of test : 0.66 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334593 - j = 1 : 599997054 - j = 2 : 1473 + j = 0 : 131940795334468 + j = 1 : 599997304 + j = 2 : 1348 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:10:20.68 +CPU time used : 00:09:49.88 Generator state: N/A @@ -591,21 +591,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1318 -p-value of test : 0.89 +Observed number of collisions : 1380 +p-value of test : 0.34 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334438 - j = 1 : 599997364 - j = 2 : 1318 + j = 0 : 131940795334500 + j = 1 : 599997240 + j = 2 : 1380 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:22.18 +CPU time used : 00:08:56.53 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5441 -p-value of test : 0.39 +Total observed number : 5428 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:05:41.89 +CPU time used : 00:05:31.36 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4320 -p-value of test : 0.60 +Total observed number : 4294 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:02:29.77 +CPU time used : 00:02:26.36 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7449 -p-value of test : 0.06 +Total observed number : 7181 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:04:13.44 +CPU time used : 00:04:08.69 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4386 -p-value of test : 0.23 +Total observed number : 4244 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:03:07.15 +CPU time used : 00:03:03.39 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4423 -p-value of test : 0.10 +Total observed number : 4401 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:03:19.25 +CPU time used : 00:03:17.80 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7406 -p-value of test : 0.15 +Total observed number : 7194 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:05:20.88 +CPU time used : 00:05:16.07 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7166 -p-value of test : 0.96 +Total observed number : 7297 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:05:21.02 +CPU time used : 00:05:15.14 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7304 -p-value of test : 0.56 +Total observed number : 7241 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:06:54.01 +CPU time used : 00:06:49.48 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7310 -p-value of test : 0.54 +Total observed number : 7446 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:07:37.06 +CPU time used : 00:07:30.26 Generator state: N/A @@ -887,34 +887,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 3.96 -p-value of test : 9.3e-3 +Stat. AD on the N values (NP) : 0.89 +p-value of test : 0.42 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 0.91 -p-value of test : 0.40 +A2 test on the values of A2 (m-NP) : 0.70 +p-value of test : 0.56 -Test on the Nm values of W_{n,i}(mNP1): 0.75 -p-value of test : 0.52 +Test on the Nm values of W_{n,i}(mNP1): 1.26 +p-value of test : 0.24 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 869 -p-value of test : 0.85 +Number of jumps of Y : 930 +p-value of test : 0.16 -Stat. AD (mNP2) : 2.33 -p-value of test : 0.06 +Stat. AD (mNP2) : 3.58 +p-value of test : 0.01 -Stat. AD after spacings (mNP2-S) : 1.36 -p-value of test : 0.21 +Stat. AD after spacings (mNP2-S) : 0.64 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:04:47.39 +CPU time used : 00:04:08.60 Generator state: N/A @@ -935,18 +935,18 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 1.02 -p-value of test : 0.34 +Stat. AD on the N values (NP) : 0.16 +p-value of test : 0.9975 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 0.70 -p-value of test : 0.56 +A2 test on the values of A2 (m-NP) : 1.65 +p-value of test : 0.14 -Test on the Nm values of W_{n,i}(mNP1): 1.09 -p-value of test : 0.31 +Test on the Nm values of W_{n,i}(mNP1): 1.05 +p-value of test : 0.33 Test on the jump times of Y (superposition of Yn): @@ -955,14 +955,14 @@ Expected number of jumps of Y = mN : 600 Number of jumps of Y : 623 p-value of test : 0.18 -Stat. AD (mNP2) : 0.77 -p-value of test : 0.51 +Stat. AD (mNP2) : 0.28 +p-value of test : 0.96 -Stat. AD after spacings (mNP2-S) : 0.63 -p-value of test : 0.62 +Stat. AD after spacings (mNP2-S) : 3.20 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:03:08.36 +CPU time used : 00:02:57.32 Generator state: N/A @@ -983,34 +983,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.80 -p-value of test : 0.47 +Stat. AD on the N values (NP) : 0.82 +p-value of test : 0.46 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 2.01 -p-value of test : 0.09 +A2 test on the values of A2 (m-NP) : 0.27 +p-value of test : 0.96 -Test on the Nm values of W_{n,i}(mNP1): 0.28 -p-value of test : 0.95 +Test on the Nm values of W_{n,i}(mNP1): 0.65 +p-value of test : 0.60 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 313 -p-value of test : 0.23 +Number of jumps of Y : 289 +p-value of test : 0.73 -Stat. AD (mNP2) : 0.57 -p-value of test : 0.68 +Stat. AD (mNP2) : 0.50 +p-value of test : 0.75 -Stat. AD after spacings (mNP2-S) : 0.77 -p-value of test : 0.51 +Stat. AD after spacings (mNP2-S) : 0.92 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:04:05.22 +CPU time used : 00:04:44.00 Generator state: N/A @@ -1031,34 +1031,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.60 -p-value of test : 0.64 +Stat. AD on the N values (NP) : 0.55 +p-value of test : 0.69 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 1.10 -p-value of test : 0.31 +A2 test on the values of A2 (m-NP) : 0.78 +p-value of test : 0.49 -Test on the Nm values of W_{n,i}(mNP1): 3.15 -p-value of test : 0.02 +Test on the Nm values of W_{n,i}(mNP1): 0.88 +p-value of test : 0.43 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 129 -p-value of test : 0.96 +Number of jumps of Y : 159 +p-value of test : 0.24 -Stat. AD (mNP2) : 0.65 -p-value of test : 0.61 +Stat. AD (mNP2) : 0.52 +p-value of test : 0.73 -Stat. AD after spacings (mNP2-S) : 1.33 -p-value of test : 0.22 +Stat. AD after spacings (mNP2-S) : 0.29 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:04:39.77 +CPU time used : 00:04:45.36 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 1.38 -p-value of test : 0.99 +Chi-square statistic : 5.92 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:01:41.01 +CPU time used : 00:01:41.45 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 5.52 -p-value of test : 0.60 +Chi-square statistic : 1.22 +p-value of test : 0.9904 ----------------------------------------------- -CPU time used : 00:02:01.01 +CPU time used : 00:01:57.06 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 17.69 -p-value of test : 0.48 +Chi-square statistic : 26.35 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:01:39.12 +CPU time used : 00:01:37.48 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 15.04 -p-value of test : 0.66 +Chi-square statistic : 20.39 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:01:56.80 +CPU time used : 00:01:54.29 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 50.72 -p-value of test : 0.60 +Chi-square statistic : 62.59 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:02:09.76 +CPU time used : 00:02:09.12 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 46.70 -p-value of test : 0.75 +Chi-square statistic : 53.69 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:02:28.92 +CPU time used : 00:02:31.96 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 57.44 -p-value of test : 0.35 +Chi-square statistic : 68.03 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:02:26.20 +CPU time used : 00:02:31.93 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 46.94 -p-value of test : 0.74 +Chi-square statistic : 58.72 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:02:23.47 +CPU time used : 00:02:30.55 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 222.55 -p-value of test : 0.66 +Chi-square statistic : 254.62 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:02:36.73 +CPU time used : 00:02:54.89 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 478.58 -p-value of test : 0.07 +Chi-square statistic : 473.47 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:03:51.94 +CPU time used : 00:04:10.26 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1631.82 -p-value of test : 2.4e-4 ***** +Chi-square statistic : 1519.08 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:03:59.37 +CPU time used : 00:04:09.40 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7029.97 -p-value of test : 0.55 +Chi-square statistic : 7021.45 +p-value of test : 0.58 ----------------------------------------------- -CPU time used : 00:04:01.54 +CPU time used : 00:04:04.65 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.70 +Kolmogorov-Smirnov+ statistic = D+ : 0.34 +p-value of test : 0.27 -Kolmogorov-Smirnov- statistic = D- : 0.35 -p-value of test : 0.23 +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.62 -Anderson-Darling statistic = A2 : 0.72 -p-value of test : 0.54 +Anderson-Darling statistic = A2 : 0.82 +p-value of test : 0.46 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 32.66 -p-value of test : 0.34 +Chi-square statistic : 29.93 +p-value of test : 0.47 ----------------------------------------------- -CPU time used : 00:02:01.82 +CPU time used : 00:02:03.45 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.60 +Kolmogorov-Smirnov+ statistic = D+ : 0.017 +p-value of test : 0.98 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.48 +Kolmogorov-Smirnov- statistic = D- : 0.39 +p-value of test : 0.04 -Anderson-Darling statistic = A2 : 0.35 -p-value of test : 0.89 +Anderson-Darling statistic = A2 : 3.98 +p-value of test : 9.3e-3 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 60.74 -p-value of test : 0.45 +Chi-square statistic : 92.99 +p-value of test : 4.1e-3 ----------------------------------------------- -CPU time used : 00:04:53.95 +CPU time used : 00:04:57.50 Generator state: N/A @@ -1450,12 +1450,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5 -Value of the statistic : 12.55 -p-value of test : 0.03 +Value of the statistic : 0.74 +p-value of test : 0.98 ----------------------------------------------- -CPU time used : 00:01:30.50 +CPU time used : 00:01:30.69 Generator state: N/A @@ -1489,12 +1489,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 119 -Value of the statistic : 125.21 -p-value of test : 0.33 +Value of the statistic : 95.44 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:02:34.22 +CPU time used : 00:02:36.22 Generator state: N/A @@ -1528,12 +1528,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5039 -Value of the statistic : 4893.01 -p-value of test : 0.93 +Value of the statistic : 4989.63 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:55.70 +CPU time used : 00:01:59.39 Generator state: N/A @@ -1568,11 +1568,11 @@ Test Results for Delta = 1.0000 Number of degrees of freedom : 3628799 Value of the statistic : 3.63e+6 -p-value of test : 0.23 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:04:04.95 +CPU time used : 00:04:03.25 Generator state: N/A @@ -1607,22 +1607,22 @@ Test Results for Collisions For the total number of collisions, we use the Poisson approximation: Expected number of collisions = N*Mu : 45879.47 -Observed number of collisions : 46291 -p-value of test : 0.03 +Observed number of collisions : 45954 +p-value of test : 0.36 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165870291 - j = 1 : 399907420 - j = 2 : 46287 - j = 3 : 2 + j = 0 : 1743165869954 + j = 1 : 399908096 + j = 2 : 45946 + j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:21.37 +CPU time used : 00:05:09.12 Generator state: N/A @@ -1657,22 +1657,22 @@ Test Results for Collisions For the total number of collisions, we use the Poisson approximation: Expected number of collisions = N*Mu : 45879.47 -Observed number of collisions : 46084 -p-value of test : 0.17 +Observed number of collisions : 45593 +p-value of test : 0.91 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165870084 - j = 1 : 399907838 - j = 2 : 46072 - j = 3 : 6 + j = 0 : 1743165869593 + j = 1 : 399908818 + j = 2 : 45585 + j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:18.90 +CPU time used : 00:05:33.97 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.074 -p-value of test : 0.62 +Kolmogorov-Smirnov+ statistic = D+ : 0.023 +p-value of test : 0.95 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.27 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.13 -Anderson-Darling statistic = A2 : 0.53 -p-value of test : 0.72 +Anderson-Darling statistic = A2 : 0.92 +p-value of test : 0.40 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.53 +p-value of test : 0.15 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.031 -p-value of test : 0.91 +Kolmogorov-Smirnov+ statistic = D+ : 0.055 +p-value of test : 0.76 -Kolmogorov-Smirnov- statistic = D- : 0.29 -p-value of test : 9.3e-4 ***** +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.07 -Anderson-Darling statistic = A2 : 5.21 -p-value of test : 2.3e-3 +Anderson-Darling statistic = A2 : 0.91 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:04:24.01 +CPU time used : 00:05:20.11 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.088 -p-value of test : 0.60 +Kolmogorov-Smirnov+ statistic = D+ : 8.27e-3 +p-value of test : 0.99 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.33 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.13 -Anderson-Darling statistic = A2 : 0.63 -p-value of test : 0.62 +Anderson-Darling statistic = A2 : 1.82 +p-value of test : 0.12 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.48 +p-value of test : 0.03 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.068 -p-value of test : 0.72 +Kolmogorov-Smirnov+ statistic = D+ : 0.091 +p-value of test : 0.57 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.16 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.19 -Anderson-Darling statistic = A2 : 1.54 -p-value of test : 0.17 +Anderson-Darling statistic = A2 : 1.04 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:04:09.22 +CPU time used : 00:04:45.70 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.087 -p-value of test : 0.70 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.47 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.14 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.57 -Anderson-Darling statistic = A2 : 1.14 -p-value of test : 0.29 +Anderson-Darling statistic = A2 : 0.59 +p-value of test : 0.66 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.10 +p-value of test : 0.66 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.43 +Kolmogorov-Smirnov+ statistic = D+ : 0.073 +p-value of test : 0.77 -Kolmogorov-Smirnov- statistic = D- : 0.032 -p-value of test : 0.94 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.18 -Anderson-Darling statistic = A2 : 0.58 -p-value of test : 0.66 +Anderson-Darling statistic = A2 : 1.73 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:03:11.75 +CPU time used : 00:03:35.85 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.60 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.38 -Kolmogorov-Smirnov- statistic = D- : 0.066 -p-value of test : 0.81 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.57 -Anderson-Darling statistic = A2 : 0.20 -p-value of test : 0.99 +Anderson-Darling statistic = A2 : 0.83 +p-value of test : 0.46 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.57 +p-value of test : 0.81 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.073 -p-value of test : 0.77 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.43 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.53 +Kolmogorov-Smirnov- statistic = D- : 0.24 +p-value of test : 0.09 -Anderson-Darling statistic = A2 : 0.21 -p-value of test : 0.99 +Anderson-Darling statistic = A2 : 1.13 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:03:38.57 +CPU time used : 00:04:04.51 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.073 -p-value of test : 0.62 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.34 -Kolmogorov-Smirnov- statistic = D- : 0.082 -p-value of test : 0.56 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.34 -Anderson-Darling statistic = A2 : 0.34 -p-value of test : 0.91 +Anderson-Darling statistic = A2 : 0.79 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:03:07.79 +CPU time used : 00:04:28.37 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.086 -p-value of test : 0.71 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.62 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.48 +Kolmogorov-Smirnov- statistic = D- : 0.085 +p-value of test : 0.71 -Anderson-Darling statistic = A2 : 0.46 -p-value of test : 0.78 +Anderson-Darling statistic = A2 : 0.25 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:02:10.76 +CPU time used : 00:02:52.02 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.32 +Kolmogorov-Smirnov+ statistic = D+ : 0.057 +p-value of test : 0.84 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.45 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.51 -Anderson-Darling statistic = A2 : 0.63 -p-value of test : 0.61 +Anderson-Darling statistic = A2 : 0.37 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:02:47.01 +CPU time used : 00:03:29.27 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.66e-4 -p-value of test : 0.33 +Kolmogorov-Smirnov+ statistic = D+ : 1.20e-4 +p-value of test : 0.56 -Kolmogorov-Smirnov- statistic = D- : 9.60e-5 -p-value of test : 0.69 +Kolmogorov-Smirnov- statistic = D- : 9.82e-5 +p-value of test : 0.68 -Anderson-Darling statistic = A2 : 0.95 -p-value of test : 0.38 +Anderson-Darling statistic = A2 : 0.44 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:00:41.45 +CPU time used : 00:00:44.12 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 6.36e-5 -p-value of test : 0.85 +Kolmogorov-Smirnov+ statistic = D+ : 1.11e-4 +p-value of test : 0.61 -Kolmogorov-Smirnov- statistic = D- : 1.80e-4 -p-value of test : 0.28 +Kolmogorov-Smirnov- statistic = D- : 2.79e-4 +p-value of test : 0.04 -Anderson-Darling statistic = A2 : 0.85 -p-value of test : 0.45 +Anderson-Darling statistic = A2 : 1.37 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:00:42.45 +CPU time used : 00:00:46.12 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -1.45 -p-value of test : 0.93 +Normal statistic : -0.77 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:00:43.84 +CPU time used : 00:00:43.81 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.80 -p-value of test : 0.79 +Normal statistic : -1.84 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:00:43.95 +CPU time used : 00:00:44.79 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -1.38 -p-value of test : 0.92 +Normal statistic : -0.53 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:02:25.19 +CPU time used : 00:03:19.76 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 0.30 -p-value of test : 0.38 +Normal statistic : -0.64 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:02:29.27 +CPU time used : 00:03:24.19 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 62.38 -p-value of test : 0.64 +Chi-square statistic : 76.71 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:01:44.07 +CPU time used : 00:01:45.76 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 63.59 -p-value of test : 0.60 +Chi-square statistic : 68.33 +p-value of test : 0.43 ----------------------------------------------- -CPU time used : 00:02:09.84 +CPU time used : 00:02:09.79 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 63.82 -p-value of test : 0.59 +Chi-square statistic : 59.75 +p-value of test : 0.72 ----------------------------------------------- -CPU time used : 00:02:08.14 +CPU time used : 00:02:06.45 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 49.26 -p-value of test : 0.09 +Chi-square statistic : 30.67 +p-value of test : 0.76 ----------------------------------------------- -CPU time used : 00:01:43.04 +CPU time used : 00:01:44.18 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 49.46 -p-value of test : 0.08 +Chi-square statistic : 30.58 +p-value of test : 0.76 ----------------------------------------------- -CPU time used : 00:02:08.62 +CPU time used : 00:02:08.30 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 39.29 -p-value of test : 0.37 +Chi-square statistic : 36.18 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:02:07.30 +CPU time used : 00:02:05.88 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 37.42 -p-value of test : 0.14 +Chi-square statistic : 29.86 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:03:19.43 +CPU time used : 00:03:26.17 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.017 -p-value of test : 0.98 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.47 -Kolmogorov-Smirnov- statistic = D- : 0.22 -p-value of test : 0.32 +Kolmogorov-Smirnov- statistic = D- : 0.23 +p-value of test : 0.30 -Anderson-Darling statistic = A2 : 1.00 -p-value of test : 0.35 +Anderson-Darling statistic = A2 : 0.56 +p-value of test : 0.68 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 53.05 -p-value of test : 0.08 +Chi-square statistic : 38.70 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:01:51.32 +CPU time used : 00:01:54.75 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.52 +Kolmogorov-Smirnov+ statistic = D+ : 0.28 +p-value of test : 0.16 -Kolmogorov-Smirnov- statistic = D- : 0.25 -p-value of test : 0.25 +Kolmogorov-Smirnov- statistic = D- : 0.069 +p-value of test : 0.87 -Anderson-Darling statistic = A2 : 0.98 -p-value of test : 0.37 +Anderson-Darling statistic = A2 : 1.51 +p-value of test : 0.17 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 39.48 -p-value of test : 0.49 +Chi-square statistic : 33.79 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:01:51.09 +CPU time used : 00:01:53.90 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 2.35 -p-value of test : 0.50 +Chi-square statistic : 1.66 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:03:04.51 +CPU time used : 00:03:12.47 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 0.50 -p-value of test : 0.92 +Chi-square statistic : 5.80 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:03:05.46 +CPU time used : 00:03:13.54 Generator state: N/A @@ -2448,7 +2448,7 @@ Chi-square statistic : 518.64 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:22.35 +CPU time used : 00:01:23.61 Generator state: N/A @@ -2472,7 +2472,7 @@ Chi-square statistic : 518.64 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:00:58.10 +CPU time used : 00:00:59.61 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.10 -p-value of test : 0.76 +Kolmogorov-Smirnov+ statistic = D+ : 0.085 +p-value of test : 0.82 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.60 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.36 -Anderson-Darling statistic = A2 : 0.30 -p-value of test : 0.93 +Anderson-Darling statistic = A2 : 0.78 +p-value of test : 0.49 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 131.83 -p-value of test : 0.44 +Chi-square statistic : 144.72 +p-value of test : 0.18 ----------------------------------------------- -CPU time used : 00:01:14.34 +CPU time used : 00:01:15.90 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.46 +Kolmogorov-Smirnov+ statistic = D+ : 0.30 +p-value of test : 0.13 -Kolmogorov-Smirnov- statistic = D- : 0.063 -p-value of test : 0.89 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.76 -Anderson-Darling statistic = A2 : 0.52 -p-value of test : 0.72 +Anderson-Darling statistic = A2 : 1.16 +p-value of test : 0.28 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17284.40 -p-value of test : 0.78 +Chi-square statistic :17216.12 +p-value of test : 0.87 ----------------------------------------------- -CPU time used : 00:02:02.59 +CPU time used : 00:02:02.54 Generator state: N/A @@ -2568,44 +2568,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 36 -ChiSquare statistic : 20.52 -p-value of test : 0.98 +ChiSquare statistic : 35.46 +p-value of test : 0.49 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 29.10 -p-value of test : 0.75 +ChiSquare statistic : 20.12 +p-value of test : 0.98 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 22.06 -p-value of test : 0.63 +ChiSquare statistic : 16.64 +p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 16.95 -p-value of test : 0.85 +ChiSquare statistic : 11.87 +p-value of test : 0.98 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 14.61 -p-value of test : 0.62 +ChiSquare statistic : 12.88 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:01:02.63 +CPU time used : 00:01:04.91 Generator state: N/A @@ -2628,44 +2628,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 36 -ChiSquare statistic : 48.71 -p-value of test : 0.08 +ChiSquare statistic : 24.90 +p-value of test : 0.92 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 30.02 -p-value of test : 0.71 +ChiSquare statistic : 29.74 +p-value of test : 0.72 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 27.59 -p-value of test : 0.33 +ChiSquare statistic : 26.06 +p-value of test : 0.40 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 39.85 -p-value of test : 0.02 +ChiSquare statistic : 20.76 +p-value of test : 0.65 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 20.91 -p-value of test : 0.23 +ChiSquare statistic : 8.61 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:01:03.52 +CPU time used : 00:01:05.93 Generator state: N/A @@ -2688,44 +2688,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 146 -ChiSquare statistic : 130.99 -p-value of test : 0.81 +ChiSquare statistic : 148.72 +p-value of test : 0.42 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 126.60 -p-value of test : 0.88 +ChiSquare statistic : 172.64 +p-value of test : 0.07 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 501.90 -p-value of test : 0.47 +ChiSquare statistic : 494.07 +p-value of test : 0.57 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 140.46 -p-value of test : 0.38 +ChiSquare statistic : 121.91 +p-value of test : 0.80 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 60.55 -p-value of test : 0.87 +ChiSquare statistic : 78.18 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:01:20.27 +CPU time used : 00:01:24.16 Generator state: N/A @@ -2748,44 +2748,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 146 -ChiSquare statistic : 140.22 -p-value of test : 0.62 +ChiSquare statistic : 158.49 +p-value of test : 0.23 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 116.12 -p-value of test : 0.97 +ChiSquare statistic : 139.35 +p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 536.66 -p-value of test : 0.12 +ChiSquare statistic : 500.16 +p-value of test : 0.49 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 134.19 -p-value of test : 0.53 +ChiSquare statistic : 159.18 +p-value of test : 0.08 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 48.12 -p-value of test : 0.9915 +ChiSquare statistic : 68.20 +p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:01:21.52 +CPU time used : 00:01:25.15 Generator state: N/A @@ -2808,44 +2808,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 384 -ChiSquare statistic : 361.71 -p-value of test : 0.79 +ChiSquare statistic : 357.47 +p-value of test : 0.83 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 342.53 -p-value of test : 0.94 +ChiSquare statistic : 417.12 +p-value of test : 0.12 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4876.32 -p-value of test : 0.89 +ChiSquare statistic : 4895.45 +p-value of test : 0.85 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 391.02 -p-value of test : 0.31 +ChiSquare statistic : 388.47 +p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 201.89 -p-value of test : 0.45 +ChiSquare statistic : 189.61 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:06.15 +CPU time used : 00:01:13.02 Generator state: N/A @@ -2868,23 +2868,23 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 384 -ChiSquare statistic : 379.08 -p-value of test : 0.56 +ChiSquare statistic : 363.60 +p-value of test : 0.77 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 373.14 -p-value of test : 0.64 +ChiSquare statistic : 425.25 +p-value of test : 0.07 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4990.75 +ChiSquare statistic : 4991.63 p-value of test : 0.53 @@ -2892,20 +2892,20 @@ p-value of test : 0.53 Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 353.81 -p-value of test : 0.81 +ChiSquare statistic : 388.46 +p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 202.46 -p-value of test : 0.44 +ChiSquare statistic : 196.92 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:01:06.70 +CPU time used : 00:01:13.88 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 39.42 -p-value of test : 9.0e-5 ***** +Chi2 statistic for size of jumps : 10.01 +p-value of test : 0.62 ----------------------------------------------- -Normal statistic for number of jumps : -445.01 +Normal statistic for number of jumps : -445.00 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:00.45 +CPU time used : 00:00:00.56 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 5.06 -p-value of test : 0.96 +Chi2 statistic for size of jumps : 24.01 +p-value of test : 0.02 ----------------------------------------------- -Normal statistic for number of jumps : -444.95 +Normal statistic for number of jumps : -444.92 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:00.50 +CPU time used : 00:00:00.54 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.41 +Kolmogorov-Smirnov+ statistic = D+ : 0.26 +p-value of test : 0.22 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.57 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.51 -Anderson-Darling statistic = A2 : 0.50 -p-value of test : 0.74 +Anderson-Darling statistic = A2 : 0.78 +p-value of test : 0.49 Tests on the sum of all N observations -Standardized normal statistic : -0.11 -p-value of test : 0.55 +Standardized normal statistic : -0.52 +p-value of test : 0.70 -Sample variance : 1.37 -p-value of test : 0.20 +Sample variance : 0.36 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:01:12.22 +CPU time used : 00:01:03.06 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.45 +Kolmogorov-Smirnov+ statistic = D+ : 0.085 +p-value of test : 0.82 -Kolmogorov-Smirnov- statistic = D- : 0.10 -p-value of test : 0.75 +Kolmogorov-Smirnov- statistic = D- : 0.35 +p-value of test : 0.06 -Anderson-Darling statistic = A2 : 0.39 -p-value of test : 0.85 +Anderson-Darling statistic = A2 : 2.33 +p-value of test : 0.06 Tests on the sum of all N observations -Standardized normal statistic : -0.26 -p-value of test : 0.60 +Standardized normal statistic : 1.78 +p-value of test : 0.04 -Sample variance : 0.87 -p-value of test : 0.56 +Sample variance : 1.66 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:01:16.29 +CPU time used : 00:01:05.40 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 6.67e-3 -p-value of test : 0.69 +Kolmogorov-Smirnov+ statistic = D+ : 0.016 +p-value of test : 0.13 -Kolmogorov-Smirnov- statistic = D- : 0.014 -p-value of test : 0.21 +Kolmogorov-Smirnov- statistic = D- : 2.12e-3 +p-value of test : 0.96 -Anderson-Darling statistic = A2 : 0.88 -p-value of test : 0.43 +Anderson-Darling statistic = A2 : 1.15 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:00:57.34 +CPU time used : 00:00:57.54 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.010 -p-value of test : 0.41 +Kolmogorov-Smirnov+ statistic = D+ : 5.17e-3 +p-value of test : 0.80 -Kolmogorov-Smirnov- statistic = D- : 3.31e-3 -p-value of test : 0.91 +Kolmogorov-Smirnov- statistic = D- : 0.015 +p-value of test : 0.15 -Anderson-Darling statistic = A2 : 0.63 -p-value of test : 0.62 +Anderson-Darling statistic = A2 : 0.92 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:00:56.63 +CPU time used : 00:00:56.75 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 8.93 -p-value of test : 0.35 +Chi-square statistic : 10.23 +p-value of test : 0.25 ----------------------------------------------- -Global longest run of 1 : 39.00 -p-value of test : 9.1e-3 +Global longest run of 1 : 33.00 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:01:57.90 +CPU time used : 00:02:02.06 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 6.21 -p-value of test : 0.62 +Chi-square statistic : 10.79 +p-value of test : 0.21 ----------------------------------------------- -Global longest run of 1 : 30.00 -p-value of test : 0.90 +Global longest run of 1 : 35.00 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:02:00.15 +CPU time used : 00:02:08.18 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.48 -p-value of test : 6.7e-3 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.36 -Kolmogorov-Smirnov- statistic = D- : 1.41e-3 -p-value of test : 0.9986 +Kolmogorov-Smirnov- statistic = D- : 0.048 +p-value of test : 0.93 -Anderson-Darling statistic = A2 : 4.84 -p-value of test : 3.6e-3 +Anderson-Darling statistic = A2 : 0.68 +p-value of test : 0.57 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 145.24 -p-value of test : 0.9987 +Chi-square statistic : 181.66 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:03:31.06 +CPU time used : 00:03:30.40 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.65 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.35 -Kolmogorov-Smirnov- statistic = D- : 0.28 -p-value of test : 0.18 +Kolmogorov-Smirnov- statistic = D- : 0.059 +p-value of test : 0.90 -Anderson-Darling statistic = A2 : 0.62 -p-value of test : 0.63 +Anderson-Darling statistic = A2 : 0.50 +p-value of test : 0.74 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 205.07 -p-value of test : 0.39 +Chi-square statistic : 183.00 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:03:32.86 +CPU time used : 00:03:28.56 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.25 -p-value of test : 0.23 +Kolmogorov-Smirnov+ statistic = D+ : 0.073 +p-value of test : 0.86 -Kolmogorov-Smirnov- statistic = D- : 0.056 -p-value of test : 0.91 +Kolmogorov-Smirnov- statistic = D- : 0.37 +p-value of test : 0.05 -Anderson-Darling statistic = A2 : 0.72 -p-value of test : 0.54 +Anderson-Darling statistic = A2 : 1.29 +p-value of test : 0.23 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9869.02 -p-value of test : 0.82 +Chi-square statistic :10146.83 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:01:17.56 +CPU time used : 00:01:17.75 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.61 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.54 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.55 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.62 -Anderson-Darling statistic = A2 : 0.41 -p-value of test : 0.83 +Anderson-Darling statistic = A2 : 0.43 +p-value of test : 0.81 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9972.29 -p-value of test : 0.58 +Chi-square statistic : 9908.15 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:01:20.09 +CPU time used : 00:01:21.63 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 1.39 -p-value of test : 0.08 +Normal statistic : 0.46 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:01:33.16 +CPU time used : 00:01:33.54 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -1.18 -p-value of test : 0.88 +Normal statistic : -0.54 +p-value of test : 0.71 ----------------------------------------------- -CPU time used : 00:01:27.15 +CPU time used : 00:01:28.22 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 1.27 -p-value of test : 0.10 +Normal statistic : -0.85 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:05:44.84 +CPU time used : 00:05:45.61 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.32 -p-value of test : 0.11 +Kolmogorov-Smirnov+ statistic = D+ : 0.044 +p-value of test : 0.94 -Kolmogorov-Smirnov- statistic = D- : 0.073 -p-value of test : 0.86 +Kolmogorov-Smirnov- statistic = D- : 0.28 +p-value of test : 0.18 -Anderson-Darling statistic = A2 : 1.42 -p-value of test : 0.20 +Anderson-Darling statistic = A2 : 0.77 +p-value of test : 0.50 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4757.95 -p-value of test : 0.91 +Chi-square statistic : 4997.98 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:02:30.47 +CPU time used : 00:02:30.63 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.60 +Kolmogorov-Smirnov+ statistic = D+ : 0.040 +p-value of test : 0.94 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.40 +Kolmogorov-Smirnov- statistic = D- : 0.45 +p-value of test : 0.01 -Anderson-Darling statistic = A2 : 0.68 -p-value of test : 0.57 +Anderson-Darling statistic = A2 : 3.03 +p-value of test : 0.03 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4956.46 -p-value of test : 0.25 +Chi-square statistic : 5108.51 +p-value of test : 0.01 ----------------------------------------------- -CPU time used : 00:02:35.16 +CPU time used : 00:02:34.59 Generator state: N/A @@ -3471,11 +3471,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 4117 -Chi-square statistic : 4236.88 -p-value of test : 0.09 +Chi-square statistic : 4251.43 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:01:50.63 +CPU time used : 00:01:49.65 Generator state: N/A @@ -3497,11 +3497,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 4117 -Chi-square statistic : 4029.54 -p-value of test : 0.83 +Chi-square statistic : 4066.51 +p-value of test : 0.71 ----------------------------------------------- -CPU time used : 00:01:53.90 +CPU time used : 00:01:53.06 Generator state: N/A @@ -3523,11 +3523,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 -Chi-square statistic :11945.15 -p-value of test : 0.22 +Chi-square statistic :11781.25 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:02:00.95 +CPU time used : 00:02:01.38 Generator state: N/A @@ -3549,11 +3549,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 -Chi-square statistic :11790.12 -p-value of test
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