http://git-wip-us.apache.org/repos/asf/commons-rng/blob/a61e17b9/src/site/resources/txt/userguide/stress/tu/run_1/tu_8 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_1/tu_8 b/src/site/resources/txt/userguide/stress/tu/run_1/tu_8 index a8a4c75..32b2149 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_1/tu_8 +++ b/src/site/resources/txt/userguide/stress/tu/run_1/tu_8 @@ -1,9 +1,9 @@ # -# RNG: org.apache.commons.rng.internal.source32.Well44497b +# RNG: org.apache.commons.rng.core.source32.Well44497b # -# 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 : 0.62 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:02:18.28 +CPU time used : 00:02:44.06 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 : 0.15 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:02:36.31 +CPU time used : 00:02:34.54 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 : 1312 -p-value of test : 0.92 +Observed number of collisions : 1365 +p-value of test : 0.50 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334432 - j = 1 : 599997376 - j = 2 : 1312 + j = 0 : 131940795334485 + j = 1 : 599997270 + j = 2 : 1365 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:35.24 +CPU time used : 00:05:38.62 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 : 1354 -p-value of test : 0.60 +Observed number of collisions : 1392 +p-value of test : 0.23 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334474 - j = 1 : 599997292 - j = 2 : 1354 + j = 0 : 131940795334512 + j = 1 : 599997216 + j = 2 : 1392 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:49.50 +CPU time used : 00:06:46.51 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 : 1405 -p-value of test : 0.14 +Observed number of collisions : 1425 +p-value of test : 0.05 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334525 - j = 1 : 599997190 - j = 2 : 1405 + j = 0 : 131940795334545 + j = 1 : 599997150 + j = 2 : 1425 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:26.18 +CPU time used : 00:09:36.31 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 : 1422 -p-value of test : 0.06 +Observed number of collisions : 1415 +p-value of test : 0.09 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334542 - j = 1 : 599997156 - j = 2 : 1422 + j = 0 : 131940795334535 + j = 1 : 599997170 + j = 2 : 1415 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:12.05 +CPU time used : 00:09:44.38 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 : 1314 -p-value of test : 0.91 +Observed number of collisions : 1412 +p-value of test : 0.10 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334434 - j = 1 : 599997372 - j = 2 : 1314 + j = 0 : 131940795334532 + j = 1 : 599997176 + j = 2 : 1412 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:10:11.98 +CPU time used : 00:09:57.28 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 : 1396 -p-value of test : 0.20 +Observed number of collisions : 1373 +p-value of test : 0.41 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334516 - j = 1 : 599997208 - j = 2 : 1396 + j = 0 : 131940795334493 + j = 1 : 599997254 + j = 2 : 1373 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:47.30 +CPU time used : 00:09:33.05 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 : 1319 -p-value of test : 0.89 +Observed number of collisions : 1371 +p-value of test : 0.43 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334439 - j = 1 : 599997362 - j = 2 : 1319 + j = 0 : 131940795334491 + j = 1 : 599997258 + j = 2 : 1371 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:37.53 +CPU time used : 00:09:30.19 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 : 1373 -p-value of test : 0.41 +Observed number of collisions : 1357 +p-value of test : 0.57 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334493 - j = 1 : 599997254 - j = 2 : 1373 + j = 0 : 131940795334477 + j = 1 : 599997286 + j = 2 : 1357 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:38.47 +CPU time used : 00:09:08.51 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 : 1391 -p-value of test : 0.24 +Observed number of collisions : 1256 +p-value of test : 0.9984 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334511 - j = 1 : 599997218 - j = 2 : 1391 + j = 0 : 131940795334376 + j = 1 : 599997488 + j = 2 : 1256 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:02.10 +CPU time used : 00:09:39.07 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 : 1330 -p-value of test : 0.82 +Observed number of collisions : 1428 +p-value of test : 0.04 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334450 - j = 1 : 599997340 - j = 2 : 1330 + j = 0 : 131940795334548 + j = 1 : 599997144 + j = 2 : 1428 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:59.47 +CPU time used : 00:09:38.47 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5480 -p-value of test : 0.21 +Total observed number : 5526 +p-value of test : 0.08 ----------------------------------------------- -CPU time used : 00:05:39.96 +CPU time used : 00:05:31.07 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4407 -p-value of test : 0.15 +Total observed number : 4365 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:02:30.50 +CPU time used : 00:02:25.63 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7365 -p-value of test : 0.29 +Total observed number : 7273 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:04:14.78 +CPU time used : 00:04:08.47 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4292 -p-value of test : 0.75 +Total observed number : 4298 +p-value of test : 0.72 ----------------------------------------------- -CPU time used : 00:03:08.68 +CPU time used : 00:03:04.63 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4350 -p-value of test : 0.42 +Total observed number : 4419 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:03:20.64 +CPU time used : 00:03:17.52 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7373 -p-value of test : 0.26 +Total observed number : 7178 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:05:22.86 +CPU time used : 00:05:17.90 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7315 -p-value of test : 0.51 +Total observed number : 7363 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:05:24.26 +CPU time used : 00:05:17.11 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7253 -p-value of test : 0.78 +Total observed number : 7320 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:06:59.90 +CPU time used : 00:06:52.61 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7348 -p-value of test : 0.37 +Total observed number : 7383 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:07:42.13 +CPU time used : 00:07:38.94 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) : 1.87 -p-value of test : 0.11 +Stat. AD on the N values (NP) : 1.07 +p-value of test : 0.32 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) : 0.61 -p-value of test : 0.64 +A2 test on the values of A2 (m-NP) : 2.31 +p-value of test : 0.06 Test on the Nm values of W_{n,i}(mNP1): 0.33 -p-value of test : 0.91 +p-value of test : 0.92 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 883 -p-value of test : 0.71 +Number of jumps of Y : 870 +p-value of test : 0.84 -Stat. AD (mNP2) : 1.59 -p-value of test : 0.16 +Stat. AD (mNP2) : 0.55 +p-value of test : 0.70 -Stat. AD after spacings (mNP2-S) : 1.27 -p-value of test : 0.24 +Stat. AD after spacings (mNP2-S) : 2.47 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:04:48.43 +CPU time used : 00:04:59.44 Generator state: N/A @@ -935,34 +935,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 1.12 -p-value of test : 0.30 +Stat. AD on the N values (NP) : 1.43 +p-value of test : 0.20 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) : 1.15 -p-value of test : 0.29 +A2 test on the values of A2 (m-NP) : 0.82 +p-value of test : 0.47 -Test on the Nm values of W_{n,i}(mNP1): 0.33 -p-value of test : 0.92 +Test on the Nm values of W_{n,i}(mNP1): 2.30 +p-value of test : 0.06 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 601 -p-value of test : 0.49 +Number of jumps of Y : 643 +p-value of test : 0.04 -Stat. AD (mNP2) : 0.27 -p-value of test : 0.96 +Stat. AD (mNP2) : 2.07 +p-value of test : 0.08 -Stat. AD after spacings (mNP2-S) : 0.58 -p-value of test : 0.67 +Stat. AD after spacings (mNP2-S) : 1.23 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:02:53.34 +CPU time used : 00:02:54.50 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) : 0.37 -p-value of test : 0.88 +Stat. AD on the N values (NP) : 0.97 +p-value of test : 0.37 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) : 1.24 -p-value of test : 0.25 +A2 test on the values of A2 (m-NP) : 0.20 +p-value of test : 0.99 -Test on the Nm values of W_{n,i}(mNP1): 0.46 -p-value of test : 0.78 +Test on the Nm values of W_{n,i}(mNP1): 1.57 +p-value of test : 0.16 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 294 -p-value of test : 0.62 +Number of jumps of Y : 273 +p-value of test : 0.94 -Stat. AD (mNP2) : 0.91 -p-value of test : 0.41 +Stat. AD (mNP2) : 0.60 +p-value of test : 0.65 -Stat. AD after spacings (mNP2-S) : 1.13 -p-value of test : 0.30 +Stat. AD after spacings (mNP2-S) : 1.22 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:04:07.36 +CPU time used : 00:03:59.09 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) : 0.90 -p-value of test : 0.41 +Stat. AD on the N values (NP) : 0.42 +p-value of test : 0.82 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) : 2.05 -p-value of test : 0.09 +A2 test on the values of A2 (m-NP) : 1.15 +p-value of test : 0.28 -Test on the Nm values of W_{n,i}(mNP1): 0.48 -p-value of test : 0.76 +Test on the Nm values of W_{n,i}(mNP1): 0.80 +p-value of test : 0.48 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 145 -p-value of test : 0.64 +Number of jumps of Y : 144 +p-value of test : 0.67 -Stat. AD (mNP2) : 3.69 -p-value of test : 0.01 +Stat. AD (mNP2) : 0.48 +p-value of test : 0.77 -Stat. AD after spacings (mNP2-S) : 0.62 -p-value of test : 0.63 +Stat. AD after spacings (mNP2-S) : 0.47 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:04:18.10 +CPU time used : 00:04:12.30 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 8.38 -p-value of test : 0.30 +Chi-square statistic : 7.68 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:01:42.78 +CPU time used : 00:01:40.78 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 9.35 -p-value of test : 0.23 +Chi-square statistic : 15.04 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:02:00.54 +CPU time used : 00:01:58.36 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 11.19 -p-value of test : 0.89 +Chi-square statistic : 30.85 +p-value of test : 0.03 ----------------------------------------------- -CPU time used : 00:01:39.07 +CPU time used : 00:01:38.15 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 24.83 -p-value of test : 0.13 +Chi-square statistic : 14.53 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:56.95 +CPU time used : 00:01:55.88 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 79.88 -p-value of test : 0.01 +Chi-square statistic : 52.16 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:02:09.79 +CPU time used : 00:02:10.45 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 61.70 -p-value of test : 0.22 +Chi-square statistic : 51.52 +p-value of test : 0.57 ----------------------------------------------- -CPU time used : 00:02:29.34 +CPU time used : 00:02:33.05 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 43.82 -p-value of test : 0.84 +Chi-square statistic : 54.04 +p-value of test : 0.47 ----------------------------------------------- -CPU time used : 00:02:26.94 +CPU time used : 00:02:33.04 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 49.81 -p-value of test : 0.64 +Chi-square statistic : 33.58 +p-value of test : 0.99 ----------------------------------------------- -CPU time used : 00:02:21.87 +CPU time used : 00:02:32.98 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 213.01 -p-value of test : 0.81 +Chi-square statistic : 276.11 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:02:42.17 +CPU time used : 00:02:58.15 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 394.72 -p-value of test : 0.91 +Chi-square statistic : 476.28 +p-value of test : 0.08 ----------------------------------------------- -CPU time used : 00:03:52.61 +CPU time used : 00:04:10.65 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1470.73 -p-value of test : 0.26 +Chi-square statistic : 1356.34 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:04:05.01 +CPU time used : 00:04:24.18 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 6881.55 -p-value of test : 0.92 +Chi-square statistic : 7046.35 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:04:05.42 +CPU time used : 00:04:25.37 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.69 -p-value of test : 3.4e-3 +Kolmogorov-Smirnov+ statistic = D+ : 0.50 +p-value of test : 0.06 -Kolmogorov-Smirnov- statistic = D- : 0.038 -p-value of test : 0.96 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.82 -Anderson-Darling statistic = A2 : 3.67 -p-value of test : 0.01 +Anderson-Darling statistic = A2 : 1.26 +p-value of test : 0.24 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 13.63 -p-value of test : 0.9955 +Chi-square statistic : 20.40 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:02:02.72 +CPU time used : 00:02:11.22 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.42 +Kolmogorov-Smirnov+ statistic = D+ : 0.27 +p-value of test : 0.19 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.47 +Kolmogorov-Smirnov- statistic = D- : 0.084 +p-value of test : 0.83 -Anderson-Darling statistic = A2 : 0.68 -p-value of test : 0.57 +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 : 60 -Chi-square statistic : 68.07 -p-value of test : 0.22 +Chi-square statistic : 48.53 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:04:57.13 +CPU time used : 00:05:02.68 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 : 6.56 -p-value of test : 0.26 +Value of the statistic : 10.40 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:01:32.70 +CPU time used : 00:01:33.18 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 : 113.41 -p-value of test : 0.63 +Value of the statistic : 115.87 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:02:38.19 +CPU time used : 00:02:42.85 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 : 5066.84 -p-value of test : 0.39 +Value of the statistic : 5099.34 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:01:59.63 +CPU time used : 00:02:04.30 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 : 0.27 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:03:53.69 +CPU time used : 00:04:03.35 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 : 45894 -p-value of test : 0.47 +Observed number of collisions : 45633 +p-value of test : 0.87 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869894 - j = 1 : 399908213 - j = 2 : 45892 - j = 3 : 1 + j = 0 : 1743165869633 + j = 1 : 399908738 + j = 2 : 45625 + j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:56.52 +CPU time used : 00:05:26.28 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 : 45832 -p-value of test : 0.59 +Observed number of collisions : 45976 +p-value of test : 0.33 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869832 - j = 1 : 399908340 - j = 2 : 45824 - j = 3 : 4 + j = 0 : 1743165869976 + j = 1 : 399908050 + j = 2 : 45972 + j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:49.30 +CPU time used : 00:05:52.87 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.096 -p-value of test : 0.45 +Kolmogorov-Smirnov+ statistic = D+ : 0.046 +p-value of test : 0.82 -Kolmogorov-Smirnov- statistic = D- : 0.086 -p-value of test : 0.52 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.25 -Anderson-Darling statistic = A2 : 0.44 -p-value of test : 0.81 +Anderson-Darling statistic = A2 : 0.94 +p-value of test : 0.39 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.54 +p-value of test : 0.11 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.087 -p-value of test : 0.52 +Kolmogorov-Smirnov+ statistic = D+ : 0.042 +p-value of test : 0.84 -Kolmogorov-Smirnov- statistic = D- : 0.079 -p-value of test : 0.57 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.17 -Anderson-Darling statistic = A2 : 0.33 -p-value of test : 0.92 +Anderson-Darling statistic = A2 : 1.50 +p-value of test : 0.18 ----------------------------------------------- -CPU time used : 00:04:13.12 +CPU time used : 00:05:12.00 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.079 -p-value of test : 0.65 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.32 -Kolmogorov-Smirnov- statistic = D- : 0.069 -p-value of test : 0.72 +Kolmogorov-Smirnov- statistic = D- : 0.065 +p-value of test : 0.74 -Anderson-Darling statistic = A2 : 0.27 -p-value of test : 0.96 +Anderson-Darling statistic = A2 : 0.94 +p-value of test : 0.39 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.37 +p-value of test : 0.84 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.024 -p-value of test : 0.95 +Kolmogorov-Smirnov+ statistic = D+ : 0.093 +p-value of test : 0.56 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.32 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.07 -Anderson-Darling statistic = A2 : 1.06 -p-value of test : 0.33 +Anderson-Darling statistic = A2 : 0.84 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:04:00.28 +CPU time used : 00:04:41.98 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.54 +Kolmogorov-Smirnov+ statistic = D+ : 0.027 +p-value of test : 0.95 -Kolmogorov-Smirnov- statistic = D- : 0.096 -p-value of test : 0.65 +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.08 -Anderson-Darling statistic = A2 : 0.33 -p-value of test : 0.91 +Anderson-Darling statistic = A2 : 1.79 +p-value of test : 0.12 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.49 +p-value of test : 0.04 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.10 -p-value of test : 0.60 +Kolmogorov-Smirnov+ statistic = D+ : 0.26 +p-value of test : 0.06 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.60 +Kolmogorov-Smirnov- statistic = D- : 0.019 +p-value of test : 0.97 -Anderson-Darling statistic = A2 : 0.42 -p-value of test : 0.83 +Anderson-Darling statistic = A2 : 1.80 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:03:10.76 +CPU time used : 00:03:37.46 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.018 -p-value of test : 0.97 +Kolmogorov-Smirnov+ statistic = D+ : 0.23 +p-value of test : 0.10 -Kolmogorov-Smirnov- statistic = D- : 0.29 -p-value of test : 0.03 +Kolmogorov-Smirnov- statistic = D- : 0.029 +p-value of test : 0.95 -Anderson-Darling statistic = A2 : 3.31 -p-value of test : 0.02 +Anderson-Darling statistic = A2 : 1.85 +p-value of test : 0.11 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.01 +p-value of test : 0.96 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.12 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.57 -Kolmogorov-Smirnov- statistic = D- : 0.049 -p-value of test : 0.88 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.40 -Anderson-Darling statistic = A2 : 1.81 -p-value of test : 0.12 +Anderson-Darling statistic = A2 : 0.42 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:03:38.64 +CPU time used : 00:04:13.52 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.045 -p-value of test : 0.82 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.29 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.21 +Kolmogorov-Smirnov- statistic = D- : 0.046 +p-value of test : 0.82 -Anderson-Darling statistic = A2 : 0.79 -p-value of test : 0.48 +Anderson-Darling statistic = A2 : 0.84 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:03:07.14 +CPU time used : 00:04:30.95 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.30 -p-value of test : 0.02 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.40 -Kolmogorov-Smirnov- statistic = D- : 0.020 -p-value of test : 0.97 +Kolmogorov-Smirnov- statistic = D- : 0.044 +p-value of test : 0.90 -Anderson-Darling statistic = A2 : 2.14 -p-value of test : 0.08 +Anderson-Darling statistic = A2 : 0.65 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:02:13.54 +CPU time used : 00:02:56.04 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.057 -p-value of test : 0.84 +Kolmogorov-Smirnov+ statistic = D+ : 0.22 +p-value of test : 0.13 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.31 +Kolmogorov-Smirnov- statistic = D- : 0.039 +p-value of test : 0.92 -Anderson-Darling statistic = A2 : 1.10 -p-value of test : 0.31 +Anderson-Darling statistic = A2 : 0.88 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:02:49.87 +CPU time used : 00:03:35.20 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.04e-4 -p-value of test : 0.65 +Kolmogorov-Smirnov+ statistic = D+ : 1.20e-4 +p-value of test : 0.56 -Kolmogorov-Smirnov- statistic = D- : 1.47e-4 -p-value of test : 0.42 +Kolmogorov-Smirnov- statistic = D- : 1.36e-4 +p-value of test : 0.48 -Anderson-Darling statistic = A2 : 0.43 -p-value of test : 0.81 +Anderson-Darling statistic = A2 : 0.56 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:00:41.94 +CPU time used : 00:00:45.22 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.12e-4 -p-value of test : 0.60 - -Kolmogorov-Smirnov- statistic = D- : 1.00e-4 -p-value of test : 0.67 +Kolmogorov-Smirnov+ statistic = D+ : 2.31e-4 +p-value of test : 0.12 -Anderson-Darling statistic = A2 : 0.29 +Kolmogorov-Smirnov- statistic = D- : 3.89e-5 p-value of test : 0.94 +Anderson-Darling statistic = A2 : 1.23 +p-value of test : 0.26 + ----------------------------------------------- -CPU time used : 00:00:43.79 +CPU time used : 00:00:47.95 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.12 -p-value of test : 0.55 +Normal statistic : -1.13 +p-value of test : 0.87 ----------------------------------------------- -CPU time used : 00:00:44.28 +CPU time used : 00:00:48.06 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.41 -p-value of test : 0.66 +Normal statistic : -0.21 +p-value of test : 0.58 ----------------------------------------------- -CPU time used : 00:00:44.28 +CPU time used : 00:00:48.12 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -1.57 -p-value of test : 0.94 +Normal statistic : -0.27 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:02:29.48 +CPU time used : 00:03:25.42 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 0.068 -p-value of test : 0.47 +Normal statistic : 0.024 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:02:34.10 +CPU time used : 00:03:31.86 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 67.61 -p-value of test : 0.46 +Chi-square statistic : 64.88 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:01:43.61 +CPU time used : 00:01:50.79 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 71.59 -p-value of test : 0.33 +Chi-square statistic : 66.20 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:02:11.98 +CPU time used : 00:02:14.62 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 55.10 -p-value of test : 0.85 +Chi-square statistic : 70.60 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:02:12.09 +CPU time used : 00:02:14.95 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 49.87 -p-value of test : 0.08 +Chi-square statistic : 53.97 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:01:43.31 +CPU time used : 00:01:50.93 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 31.46 -p-value of test : 0.73 +Chi-square statistic : 26.83 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:02:11.11 +CPU time used : 00:02:14.30 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 33.84 -p-value of test : 0.62 +Chi-square statistic : 27.89 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:02:11.70 +CPU time used : 00:02:14.75 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 28.01 -p-value of test : 0.52 +Chi-square statistic : 21.75 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:03:28.37 +CPU time used : 00:03:37.54 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.36 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.59 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.56 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.69 -Anderson-Darling statistic = A2 : 0.54 -p-value of test : 0.70 +Anderson-Darling statistic = A2 : 0.33 +p-value of test : 0.92 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 40.06 -p-value of test : 0.47 +Chi-square statistic : 41.18 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:01:53.48 +CPU time used : 00:01:57.27 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 5.31e-3 -p-value of test : 0.9944 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.63 -Kolmogorov-Smirnov- statistic = D- : 0.40 -p-value of test : 0.03 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.64 -Anderson-Darling statistic = A2 : 4.26 -p-value of test : 6.9e-3 +Anderson-Darling statistic = A2 : 0.28 +p-value of test : 0.95 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 70.54 -p-value of test : 2.0e-3 +Chi-square statistic : 36.51 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:01:53.07 +CPU time used : 00:01:57.25 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 0.45 -p-value of test : 0.93 +Chi-square statistic : 1.52 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:03:10.45 +CPU time used : 00:03:16.77 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 0.17 -p-value of test : 0.98 +Chi-square statistic : 2.73 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:03:10.38 +CPU time used : 00:03:17.47 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.65 -p-value of test : 0.72 +Chi-square statistic : 1.03 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:02:12.06 +CPU time used : 00:02:15.65 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 7.57 -p-value of test : 0.02 +Chi-square statistic : 3.12 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:01:47.65 +CPU time used : 00:01:49.84 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.094 -p-value of test : 0.79 +Kolmogorov-Smirnov+ statistic = D+ : 0.083 +p-value of test : 0.83 -Kolmogorov-Smirnov- statistic = D- : 0.26 -p-value of test : 0.22 +Kolmogorov-Smirnov- statistic = D- : 0.33 +p-value of test : 0.09 -Anderson-Darling statistic = A2 : 0.54 -p-value of test : 0.70 +Anderson-Darling statistic = A2 : 1.55 +p-value of test : 0.16 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 135.91 -p-value of test : 0.34 +Chi-square statistic : 158.14 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:01:15.95 +CPU time used : 00:01:22.93 Generator state: N/A @@ -2529,23 +2529,23 @@ smarsa_GCD test: Test results for GCD values: Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.53 +p-value of test : 0.56 -Kolmogorov-Smirnov- statistic = D- : 0.071 -p-value of test : 0.87 +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.26 -Anderson-Darling statistic = A2 : 0.36 -p-value of test : 0.89 +Anderson-Darling statistic = A2 : 0.48 +p-value of test : 0.77 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17333.14 -p-value of test : 0.70 +Chi-square statistic :17487.38 +p-value of test : 0.38 ----------------------------------------------- -CPU time used : 00:02:02.70 +CPU time used : 00:02:03.70 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 : 41.55 -p-value of test : 0.24 +ChiSquare statistic : 37.36 +p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 35.78 -p-value of test : 0.43 +ChiSquare statistic : 33.45 +p-value of test : 0.54 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 32.97 -p-value of test : 0.13 +ChiSquare statistic : 28.36 +p-value of test : 0.29 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 20.98 -p-value of test : 0.64 +ChiSquare statistic : 20.24 +p-value of test : 0.68 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 15.15 -p-value of test : 0.58 +ChiSquare statistic : 9.29 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:01:02.75 +CPU time used : 00:01:04.40 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 : 43.73 -p-value of test : 0.18 +ChiSquare statistic : 34.30 +p-value of test : 0.55 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 46.08 -p-value of test : 0.10 +ChiSquare statistic : 30.91 +p-value of test : 0.67 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 38.53 -p-value of test : 0.04 +ChiSquare statistic : 28.78 +p-value of test : 0.27 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 23.24 -p-value of test : 0.51 +ChiSquare statistic : 25.74 +p-value of test : 0.37 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 23.78 -p-value of test : 0.13 +ChiSquare statistic : 19.09 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:01:03.68 +CPU time used : 00:01:05.38 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 : 139.42 -p-value of test : 0.64 +ChiSquare statistic : 129.55 +p-value of test : 0.83 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 151.13 -p-value of test : 0.37 +ChiSquare statistic : 136.00 +p-value of test : 0.71 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 474.41 -p-value of test : 0.79 +ChiSquare statistic : 567.07 +p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 134.64 -p-value of test : 0.52 +ChiSquare statistic : 112.49 +p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 67.03 -p-value of test : 0.70 +ChiSquare statistic : 66.42 +p-value of test : 0.72 ----------------------------------------------- -CPU time used : 00:01:21.04 +CPU time used : 00:01:25.18 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 : 125.11 -p-value of test : 0.89 +ChiSquare statistic : 157.59 +p-value of test : 0.24 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 137.69 -p-value of test : 0.68 +ChiSquare statistic : 107.31 +p-value of test : 0.9931 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 508.01 -p-value of test : 0.39 +ChiSquare statistic : 481.76 +p-value of test : 0.71 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 105.27 -p-value of test : 0.98 +ChiSquare statistic : 132.13 +p-value of test : 0.58 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 72.87 -p-value of test : 0.52 +ChiSquare statistic : 63.95 +p-value of test : 0.79 ----------------------------------------------- -CPU time used : 00:01:21.93 +CPU time used : 00:01:26.29 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 : 364.36 -p-value of test : 0.76 +ChiSquare statistic : 340.08 +p-value of test : 0.95 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 390.69 -p-value of test : 0.40 +ChiSquare statistic : 372.90 +p-value of test : 0.65 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5047.28 -p-value of test : 0.32 +ChiSquare statistic : 4994.17 +p-value of test : 0.52 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 345.71 -p-value of test : 0.88 +ChiSquare statistic : 373.57 +p-value of test : 0.55 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 223.47 -p-value of test : 0.12 +ChiSquare statistic : 214.59 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:01:08.00 +CPU time used : 00:01:13.41 Generator state: N/A @@ -2868,44 +2868,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 384 -ChiSquare statistic : 386.36 -p-value of test : 0.46 +ChiSquare statistic : 344.67 +p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 429.51 -p-value of test : 0.05 +ChiSquare statistic : 386.75 +p-value of test : 0.45 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5001.32 -p-value of test : 0.49 +ChiSquare statistic : 5122.01 +p-value of test : 0.11 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 331.99 -p-value of test : 0.96 +ChiSquare statistic : 358.45 +p-value of test : 0.76 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 190.43 -p-value of test : 0.67 +ChiSquare statistic : 202.81 +p-value of test : 0.43 ----------------------------------------------- -CPU time used : 00:01:08.59 +CPU time used : 00:01:14.59 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 15.20 -p-value of test : 0.23 +Chi2 statistic for size of jumps : 16.58 +p-value of test : 0.17 ----------------------------------------------- -Normal statistic for number of jumps : -347.11 +Normal statistic for number of jumps : -346.19 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:26.83 +CPU time used : 00:00:28.84 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 15.32 -p-value of test : 0.22 +Chi2 statistic for size of jumps : 13.68 +p-value of test : 0.32 ----------------------------------------------- -Normal statistic for number of jumps : -348.50 +Normal statistic for number of jumps : -346.70 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:27.20 +CPU time used : 00:00:28.56 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.55 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.71 -Kolmogorov-Smirnov- statistic = D- : 0.19 -p-value of test : 0.42 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.61 -Anderson-Darling statistic = A2 : 0.62 -p-value of test : 0.62 +Anderson-Darling statistic = A2 : 0.38 +p-value of test : 0.86 Tests on the sum of all N observations -Standardized normal statistic : -0.092 -p-value of test : 0.54 +Standardized normal statistic : 0.50 +p-value of test : 0.31 -Sample variance : 1.43 -p-value of test : 0.17 +Sample variance : 1.20 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:01:06.50 +CPU time used : 00:01:01.72 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.24 -p-value of test : 0.29 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.37 -Kolmogorov-Smirnov- statistic = D- : 0.32 -p-value of test : 0.10 +Kolmogorov-Smirnov- statistic = D- : 0.33 +p-value of test : 0.08 -Anderson-Darling statistic = A2 : 1.34 -p-value of test : 0.22 +Anderson-Darling statistic = A2 : 1.15 +p-value of test : 0.28 Tests on the sum of all N observations -Standardized normal statistic : 0.51 -p-value of test : 0.30 +Standardized normal statistic : 0.76 +p-value of test : 0.22 -Sample variance : 0.19 -p-value of test : 0.9954 +Sample variance : 0.81 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:01:19.38 +CPU time used : 00:01:04.61 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 8.66e-3 -p-value of test : 0.54 +Kolmogorov-Smirnov+ statistic = D+ : 0.019 +p-value of test : 0.05 -Kolmogorov-Smirnov- statistic = D- : 0.011 -p-value of test : 0.39 +Kolmogorov-Smirnov- statistic = D- : 8.15e-3 +p-value of test : 0.58 -Anderson-Darling statistic = A2 : 0.44 -p-value of test : 0.81 +Anderson-Darling statistic = A2 : 2.03 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:00:57.93 +CPU time used : 00:00:58.74 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.015 -p-value of test : 0.14 +Kolmogorov-Smirnov+ statistic = D+ : 0.011 +p-value of test : 0.37 -Kolmogorov-Smirnov- statistic = D- : 7.94e-3 -p-value of test : 0.59 +Kolmogorov-Smirnov- statistic = D- : 4.37e-3 +p-value of test : 0.85 -Anderson-Darling statistic = A2 : 1.11 -p-value of test : 0.30 +Anderson-Darling statistic = A2 : 0.48 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:00:56.54 +CPU time used : 00:00:57.95 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 11.00 -p-value of test : 0.20 +Chi-square statistic : 5.98 +p-value of test : 0.65 ----------------------------------------------- -Global longest run of 1 : 36.00 -p-value of test : 0.07 +Global longest run of 1 : 32.00 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:01:54.22 +CPU time used : 00:02:04.61 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 7.42 -p-value of test : 0.49 +Chi-square statistic : 5.59 +p-value of test : 0.69 ----------------------------------------------- -Global longest run of 1 : 33.00 -p-value of test : 0.44 +Global longest run of 1 : 32.00 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:01:57.54 +CPU time used : 00:02:06.61 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.042 -p-value of test : 0.94 +Kolmogorov-Smirnov+ statistic = D+ : 0.097 +p-value of test : 0.78 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.38 +Kolmogorov-Smirnov- statistic = D- : 0.23 +p-value of test : 0.29 -Anderson-Darling statistic = A2 : 1.12 -p-value of test : 0.30 +Anderson-Darling statistic = A2 : 1.00 +p-value of test : 0.36 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 229.63 -p-value of test : 0.07 +Chi-square statistic : 220.41 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:03:28.34 +CPU time used : 00:03:31.81 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.56 +Kolmogorov-Smirnov+ statistic = D+ : 0.26 +p-value of test : 0.21 -Kolmogorov-Smirnov- statistic = D- : 0.093 -p-value of test : 0.79 +Kolmogorov-Smirnov- statistic = D- : 0.067 +p-value of test : 0.88 -Anderson-Darling statistic = A2 : 0.23 -p-value of test : 0.98 +Anderson-Darling statistic = A2 : 0.58 +p-value of test : 0.66 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 198.65 -p-value of test : 0.51 +Chi-square statistic : 185.25 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:03:31.02 +CPU time used : 00:03:37.06 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.033 -p-value of test : 0.96 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.71 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.41 +Kolmogorov-Smirnov- statistic = D- : 0.24 +p-value of test : 0.28 -Anderson-Darling statistic = A2 : 0.68 -p-value of test : 0.57 +Anderson-Darling statistic = A2 : 0.69 +p-value of test : 0.56 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10149.02 -p-value of test : 0.15 +Chi-square statistic :10051.72 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:01:17.72 +CPU time used : 00:01:21.36 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.48 +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.41 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.69 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.66 -Anderson-Darling statistic = A2 : 0.29 -p-value of test : 0.95 +Anderson-Darling statistic = A2 : 0.44 +p-value of test : 0.80 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10012.07 -p-value of test : 0.46 +Chi-square statistic : 9946.92 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:01:20.31 +CPU time used : 00:01:24.59 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 1.10 -p-value of test : 0.14 +Normal statistic : -0.37 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:01:34.33 +CPU time used : 00:01:33.95 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.65 -p-value of test : 0.26 +Normal statistic : 0.85 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:01:28.91 +CPU time used : 00:01:27.77 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -1.37 -p-value of test : 0.91 +Normal statistic : 0.25 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:05:49.93 +CPU time used : 00:05:48.54 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.099 -p-value of test : 0.77 +Kolmogorov-Smirnov+ statistic = D+ : 0.31 +p-value of test : 0.12 -Kolmogorov-Smirnov- statistic = D- : 0.23 -p-value of test : 0.29 +Kolmogorov-Smirnov- statistic = D- : 0.049 +p-value of test : 0.92 -Anderson-Darling statistic = A2 : 0.57 -p-value of test : 0.67 +Anderson-Darling statistic = A2 : 1.40 +p-value of test : 0.20 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4961.84 -p-value of test : 0.23 +Chi-square statistic : 4755.99 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:02:31.81 +CPU time used : 00:02:34.22 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.70 +Kolmogorov-Smirnov+ statistic = D+ : 0.22 +p-value of test : 0.35 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.37 +Kolmogorov-Smirnov- statistic = D- : 0.065 +p-value of test : 0.88 -Anderson-Darling statistic = A2 : 0.44 -p-value of test : 0.80 +Anderson-Darling statistic = A2 : 0.54 +p-value of test : 0.70 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4914.04 -p-value of test : 0.40 +Chi-square statistic : 4808.98 +p-value of test : 0.79 ----------------------------------------------- -CPU time used : 00:02:36.29 +CPU time used : 00:02:38.20 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 : 3923.84 -p-value of test : 0.98 +Chi-square statistic : 4041.54 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:01:51.61 +CPU time used : 00:01:55.40 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 : 4234.12 -p-value of test : 0.10 +Chi-square statistic : 4102.18 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:01:55.40 +CPU time used : 00:01:57.65 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 :12058.70 -p-value of test : 0.07 +Chi-square statistic :11706.21 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:02:04.31 +CPU time used
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