Repository: commons-rng Updated Branches: refs/heads/multimodule 79fcc8c29 -> a61e17b95
http://git-wip-us.apache.org/repos/asf/commons-rng/blob/a61e17b9/src/site/resources/txt/userguide/stress/tu/run_3/tu_2 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_3/tu_2 b/src/site/resources/txt/userguide/stress/tu/run_3/tu_2 index 63760e3..0769121 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_3/tu_2 +++ b/src/site/resources/txt/userguide/stress/tu/run_3/tu_2 @@ -1,9 +1,9 @@ # -# RNG: org.apache.commons.rng.internal.source32.MersenneTwister +# RNG: org.apache.commons.rng.core.source32.MersenneTwister # -# 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 : 0.66 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:02:25.97 +CPU time used : 00:02:44.00 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 : 3.8e-3 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:02:36.38 +CPU time used : 00:02:27.97 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 : 1341 -p-value of test : 0.73 +Observed number of collisions : 1308 +p-value of test : 0.94 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334461 - j = 1 : 599997318 - j = 2 : 1341 + j = 0 : 131940795334428 + j = 1 : 599997384 + j = 2 : 1308 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:49.12 +CPU time used : 00:05:13.78 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 : 1371 -p-value of test : 0.43 +Observed number of collisions : 1382 +p-value of test : 0.32 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334491 - j = 1 : 599997258 - j = 2 : 1371 + j = 0 : 131940795334502 + j = 1 : 599997236 + j = 2 : 1382 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:17.09 +CPU time used : 00:06:55.75 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 : 1372 -p-value of test : 0.42 +Observed number of collisions : 1425 +p-value of test : 0.05 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334492 - j = 1 : 599997256 - j = 2 : 1372 + j = 0 : 131940795334545 + j = 1 : 599997150 + j = 2 : 1425 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:44.83 +CPU time used : 00:09:41.30 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 : 1318 -p-value of test : 0.89 +Observed number of collisions : 1386 +p-value of test : 0.28 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334438 - j = 1 : 599997364 - j = 2 : 1318 + j = 0 : 131940795334506 + j = 1 : 599997228 + j = 2 : 1386 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:45.17 +CPU time used : 00:09:55.55 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 : 1368 -p-value of test : 0.46 +Observed number of collisions : 1305 +p-value of test : 0.94 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334488 - j = 1 : 599997264 - j = 2 : 1368 + j = 0 : 131940795334425 + j = 1 : 599997390 + j = 2 : 1305 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:10:09.65 +CPU time used : 00:10:00.75 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 : 1351 -p-value of test : 0.63 +Observed number of collisions : 1348 +p-value of test : 0.66 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334471 - j = 1 : 599997298 - j = 2 : 1351 + j = 0 : 131940795334468 + j = 1 : 599997304 + j = 2 : 1348 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:10:23.09 +CPU time used : 00:09:14.90 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 : 1385 -p-value of test : 0.29 +Observed number of collisions : 1321 +p-value of test : 0.88 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334505 - j = 1 : 599997230 - j = 2 : 1385 + j = 0 : 131940795334441 + j = 1 : 599997358 + j = 2 : 1321 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:49.59 +CPU time used : 00:09:48.69 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 : 1395 -p-value of test : 0.21 +Observed number of collisions : 1366 +p-value of test : 0.48 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334515 - j = 1 : 599997210 - j = 2 : 1395 + j = 0 : 131940795334486 + j = 1 : 599997268 + j = 2 : 1366 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:03.38 +CPU time used : 00:09:29.89 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 : 1297 -p-value of test : 0.97 +Observed number of collisions : 1331 +p-value of test : 0.81 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334417 - j = 1 : 599997406 - j = 2 : 1297 + j = 0 : 131940795334451 + j = 1 : 599997338 + j = 2 : 1331 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:27.69 +CPU time used : 00:09:45.68 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 : 1364 -p-value of test : 0.50 +Observed number of collisions : 1405 +p-value of test : 0.14 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334484 - j = 1 : 599997272 - j = 2 : 1364 + j = 0 : 131940795334525 + j = 1 : 599997190 + j = 2 : 1405 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:24.63 +CPU time used : 00:09:41.93 Generator state: N/A @@ -634,7 +634,7 @@ p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:05:38.88 +CPU time used : 00:05:30.63 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4465 -p-value of test : 0.03 +Total observed number : 4399 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:02:30.64 +CPU time used : 00:02:25.96 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7211 -p-value of test : 0.89 +Total observed number : 7359 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:04:14.46 +CPU time used : 00:04:08.52 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4407 -p-value of test : 0.15 +Total observed number : 4349 +p-value of test : 0.43 ----------------------------------------------- -CPU time used : 00:03:07.01 +CPU time used : 00:03:03.77 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4310 -p-value of test : 0.65 +Total observed number : 4327 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:03:20.64 +CPU time used : 00:03:16.96 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7293 -p-value of test : 0.61 +Total observed number : 7435 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:05:20.97 +CPU time used : 00:05:17.18 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7208 -p-value of test : 0.90 +Total observed number : 7289 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:05:24.10 +CPU time used : 00:05:15.67 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7361 -p-value of test : 0.31 +Total observed number : 7249 +p-value of test : 0.79 ----------------------------------------------- -CPU time used : 00:06:55.31 +CPU time used : 00:06:50.76 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7284 -p-value of test : 0.65 +Total observed number : 7356 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:07:37.43 +CPU time used : 00:07:36.12 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) : 2.10 -p-value of test : 0.08 +Stat. AD on the N values (NP) : 1.10 +p-value of test : 0.31 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) : 1.64 -p-value of test : 0.15 +A2 test on the values of A2 (m-NP) : 0.49 +p-value of test : 0.75 -Test on the Nm values of W_{n,i}(mNP1): 0.99 -p-value of test : 0.36 +Test on the Nm values of W_{n,i}(mNP1): 1.72 +p-value of test : 0.13 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 855 -p-value of test : 0.93 +Number of jumps of Y : 940 +p-value of test : 0.09 -Stat. AD (mNP2) : 1.52 -p-value of test : 0.17 +Stat. AD (mNP2) : 0.49 +p-value of test : 0.76 Stat. AD after spacings (mNP2-S) : 0.71 p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:03:58.73 +CPU time used : 00:04:17.92 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) : 0.44 -p-value of test : 0.81 +Stat. AD on the N values (NP) : 0.95 +p-value of test : 0.38 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) : 1.47 -p-value of test : 0.18 +A2 test on the values of A2 (m-NP) : 0.28 +p-value of test : 0.95 -Test on the Nm values of W_{n,i}(mNP1): 0.52 -p-value of test : 0.72 +Test on the Nm values of W_{n,i}(mNP1): 1.01 +p-value of test : 0.35 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 603 -p-value of test : 0.46 +Number of jumps of Y : 634 +p-value of test : 0.09 -Stat. AD (mNP2) : 0.88 -p-value of test : 0.43 +Stat. AD (mNP2) : 1.22 +p-value of test : 0.26 -Stat. AD after spacings (mNP2-S) : 0.85 -p-value of test : 0.45 +Stat. AD after spacings (mNP2-S) : 1.30 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:02:51.64 +CPU time used : 00:02:40.32 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) : 0.43 -p-value of test : 0.82 +Stat. AD on the N values (NP) : 0.57 +p-value of test : 0.67 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) : 1.36 -p-value of test : 0.21 +A2 test on the values of A2 (m-NP) : 3.47 +p-value of test : 0.02 -Test on the Nm values of W_{n,i}(mNP1): 0.46 -p-value of test : 0.79 +Test on the Nm values of W_{n,i}(mNP1): 0.52 +p-value of test : 0.73 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 299 -p-value of test : 0.51 +Number of jumps of Y : 284 +p-value of test : 0.81 -Stat. AD (mNP2) : 0.52 -p-value of test : 0.72 +Stat. AD (mNP2) : 0.95 +p-value of test : 0.38 -Stat. AD after spacings (mNP2-S) : 1.94 -p-value of test : 0.10 +Stat. AD after spacings (mNP2-S) : 1.09 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:04:32.90 +CPU time used : 00:04:34.31 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) : 0.16 -p-value of test : 0.9974 +Stat. AD on the N values (NP) : 0.64 +p-value of test : 0.60 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) : 0.50 -p-value of test : 0.74 +A2 test on the values of A2 (m-NP) : 0.42 +p-value of test : 0.82 -Test on the Nm values of W_{n,i}(mNP1): 0.54 -p-value of test : 0.70 +Test on the Nm values of W_{n,i}(mNP1): 0.58 +p-value of test : 0.66 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 148 -p-value of test : 0.54 +Number of jumps of Y : 147 +p-value of test : 0.58 -Stat. AD (mNP2) : 0.32 -p-value of test : 0.92 +Stat. AD (mNP2) : 1.07 +p-value of test : 0.32 -Stat. AD after spacings (mNP2-S) : 1.83 -p-value of test : 0.11 +Stat. AD after spacings (mNP2-S) : 1.55 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:04:46.05 +CPU time used : 00:04:50.85 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 11.77 -p-value of test : 0.11 +Chi-square statistic : 8.00 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:01:42.20 +CPU time used : 00:01:41.29 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 11.40 -p-value of test : 0.12 +Chi-square statistic : 5.23 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:01:59.69 +CPU time used : 00:01:58.84 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 25.25 -p-value of test : 0.12 +Chi-square statistic : 28.33 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:01:39.34 +CPU time used : 00:01:37.82 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 21.96 -p-value of test : 0.23 +Chi-square statistic : 26.76 +p-value of test : 0.08 ----------------------------------------------- -CPU time used : 00:01:56.43 +CPU time used : 00:01:55.30 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 43.97 -p-value of test : 0.83 +Chi-square statistic : 42.70 +p-value of test : 0.87 ----------------------------------------------- -CPU time used : 00:02:08.79 +CPU time used : 00:02:09.00 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 47.10 -p-value of test : 0.74 +Chi-square statistic : 42.29 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:02:30.15 +CPU time used : 00:02:33.97 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 59.76 -p-value of test : 0.27 +Chi-square statistic : 57.40 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:02:27.65 +CPU time used : 00:02:34.60 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 50.76 -p-value of test : 0.60 +Chi-square statistic : 44.64 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:02:24.76 +CPU time used : 00:02:35.68 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 229.02 -p-value of test : 0.54 +Chi-square statistic : 246.98 +p-value of test : 0.24 ----------------------------------------------- -CPU time used : 00:02:40.46 +CPU time used : 00:02:56.23 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 433.88 -p-value of test : 0.49 +Chi-square statistic : 417.05 +p-value of test : 0.71 ----------------------------------------------- -CPU time used : 00:03:56.28 +CPU time used : 00:04:13.72 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1372.63 -p-value of test : 0.89 +Chi-square statistic : 1442.10 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:04:02.65 +CPU time used : 00:04:16.30 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 6970.50 -p-value of test : 0.74 +Chi-square statistic : 7026.63 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:04:06.03 +CPU time used : 00:04:10.60 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 0.36 +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.59 -Kolmogorov-Smirnov- statistic = D- : 0.32 -p-value of test : 0.30 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.68 -Anderson-Darling statistic = A2 : 0.80 -p-value of test : 0.47 +Anderson-Darling statistic = A2 : 0.70 +p-value of test : 0.55 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 29.71 -p-value of test : 0.48 +Chi-square statistic : 30.43 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:02:02.80 +CPU time used : 00:02:07.17 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.74 +Kolmogorov-Smirnov+ statistic = D+ : 0.033 +p-value of test : 0.96 Kolmogorov-Smirnov- statistic = D- : 0.28 p-value of test : 0.17 -Anderson-Darling statistic = A2 : 1.00 -p-value of test : 0.36 +Anderson-Darling statistic = A2 : 1.14 +p-value of test : 0.29 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 71.12 -p-value of test : 0.15 +Chi-square statistic : 72.42 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:04:56.57 +CPU time used : 00:05:02.13 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 : 3.34 -p-value of test : 0.65 +Value of the statistic : 11.15 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:01:31.15 +CPU time used : 00:01:31.20 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 : 134.52 -p-value of test : 0.16 +Value of the statistic : 80.89 +p-value of test : 0.9971 ----------------------------------------------- -CPU time used : 00:02:35.53 +CPU time used : 00:02:37.37 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 : 4887.38 -p-value of test : 0.94 +Value of the statistic : 4876.37 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:01:57.22 +CPU time used : 00:02:00.10 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 : 0.70 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:03:49.79 +CPU time used : 00:03:46.02 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 : 45359 -p-value of test : 0.9925 +Observed number of collisions : 46102 +p-value of test : 0.15 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869359 - j = 1 : 399909285 - j = 2 : 45353 - j = 3 : 3 + j = 0 : 1743165870102 + j = 1 : 399907800 + j = 2 : 46094 + j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:21.54 +CPU time used : 00:05:37.69 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 : 45760 -p-value of test : 0.71 +Observed number of collisions : 46082 +p-value of test : 0.17 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869760 - j = 1 : 399908486 - j = 2 : 45748 - j = 3 : 6 + j = 0 : 1743165870082 + j = 1 : 399907838 + j = 2 : 46078 + j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:51.59 +CPU time used : 00:05:37.20 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.06 +Kolmogorov-Smirnov+ statistic = D+ : 0.031 +p-value of test : 0.91 -Kolmogorov-Smirnov- statistic = D- : 0.034 -p-value of test : 0.89 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.40 -Anderson-Darling statistic = A2 : 1.37 -p-value of test : 0.21 +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 : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.83 +p-value of test : 0.22 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.051 -p-value of test : 0.78 +Kolmogorov-Smirnov+ statistic = D+ : 0.044 +p-value of test : 0.83 -Kolmogorov-Smirnov- statistic = D- : 0.095 -p-value of test : 0.46 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.27 -Anderson-Darling statistic = A2 : 0.40 -p-value of test : 0.85 +Anderson-Darling statistic = A2 : 0.81 +p-value of test : 0.47 ----------------------------------------------- -CPU time used : 00:04:21.39 +CPU time used : 00:05:14.87 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.14 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.30 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.42 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.48 -Anderson-Darling statistic = A2 : 0.97 -p-value of test : 0.37 +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 : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.60 +p-value of test : 0.71 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.29 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.50 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.46 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.22 -Anderson-Darling statistic = A2 : 1.07 -p-value of test : 0.32 +Anderson-Darling statistic = A2 : 0.86 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:04:04.62 +CPU time used : 00:04:55.55 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.23 -p-value of test : 0.11 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.62 -Kolmogorov-Smirnov- statistic = D- : 0.044 -p-value of test : 0.90 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.43 -Anderson-Darling statistic = A2 : 1.67 -p-value of test : 0.14 +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 : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.90 +p-value of test : 0.35 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.37 +Kolmogorov-Smirnov+ statistic = D+ : 0.040 +p-value of test : 0.92 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.30 +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.07 -Anderson-Darling statistic = A2 : 1.02 -p-value of test : 0.35 +Anderson-Darling statistic = A2 : 2.55 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:03:12.54 +CPU time used : 00:03:38.76 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.33 +Kolmogorov-Smirnov+ statistic = D+ : 0.049 +p-value of test : 0.88 -Kolmogorov-Smirnov- statistic = D- : 0.080 -p-value of test : 0.73 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.45 -Anderson-Darling statistic = A2 : 0.36 -p-value of test : 0.89 +Anderson-Darling statistic = A2 : 0.24 +p-value of test : 0.98 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.63 +p-value of test : 0.32 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.55 +Kolmogorov-Smirnov+ statistic = D+ : 0.086 +p-value of test : 0.71 -Kolmogorov-Smirnov- statistic = D- : 0.25 -p-value of test : 0.06 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.46 -Anderson-Darling statistic = A2 : 1.96 -p-value of test : 0.10 +Anderson-Darling statistic = A2 : 0.31 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:03:39.71 +CPU time used : 00:04:07.03 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.100 -p-value of test : 0.42 +Kolmogorov-Smirnov+ statistic = D+ : 0.084 +p-value of test : 0.54 -Kolmogorov-Smirnov- statistic = D- : 0.057 -p-value of test : 0.74 +Kolmogorov-Smirnov- statistic = D- : 0.27 +p-value of test : 2.6e-3 -Anderson-Darling statistic = A2 : 0.43 -p-value of test : 0.82 +Anderson-Darling statistic = A2 : 2.55 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:03:07.40 +CPU time used : 00:04:27.48 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.54 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.14 -Kolmogorov-Smirnov- statistic = D- : 0.048 -p-value of test : 0.88 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.62 -Anderson-Darling statistic = A2 : 0.44 -p-value of test : 0.81 +Anderson-Darling statistic = A2 : 1.10 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:02:10.81 +CPU time used : 00:02:53.65 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.080 -p-value of test : 0.74 +Kolmogorov-Smirnov+ statistic = D+ : 0.081 +p-value of test : 0.73 -Kolmogorov-Smirnov- statistic = D- : 0.087 -p-value of test : 0.70 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.23 -Anderson-Darling statistic = A2 : 0.16 -p-value of test : 0.9972 +Anderson-Darling statistic = A2 : 0.80 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:02:49.53 +CPU time used : 00:03:30.76 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.32e-4 -p-value of test : 0.50 +Kolmogorov-Smirnov+ statistic = D+ : 1.49e-4 +p-value of test : 0.41 -Kolmogorov-Smirnov- statistic = D- : 6.63e-5 -p-value of test : 0.84 +Kolmogorov-Smirnov- statistic = D- : 1.33e-4 +p-value of test : 0.49 -Anderson-Darling statistic = A2 : 0.53 -p-value of test : 0.72 +Anderson-Darling statistic = A2 : 0.36 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:00:40.87 +CPU time used : 00:00:44.13 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.14e-4 -p-value of test : 0.60 +Kolmogorov-Smirnov+ statistic = D+ : 1.59e-4 +p-value of test : 0.36 -Kolmogorov-Smirnov- statistic = D- : 9.48e-5 -p-value of test : 0.70 +Kolmogorov-Smirnov- statistic = D- : 1.01e-4 +p-value of test : 0.67 -Anderson-Darling statistic = A2 : 0.27 -p-value of test : 0.96 +Anderson-Darling statistic = A2 : 0.66 +p-value of test : 0.59 ----------------------------------------------- -CPU time used : 00:00:43.54 +CPU time used : 00:00:46.52 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.64 -p-value of test : 0.74 +Normal statistic : -0.073 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:00:43.87 +CPU time used : 00:00:44.50 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.14 -p-value of test : 0.44 +Normal statistic : -0.94 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:00:44.11 +CPU time used : 00:00:45.29 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -1.33 -p-value of test : 0.91 +Normal statistic : 0.086 +p-value of test : 0.47 ----------------------------------------------- -CPU time used : 00:02:28.52 +CPU time used : 00:03:22.39 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -0.38 -p-value of test : 0.65 +Normal statistic : 1.57 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:02:33.53 +CPU time used : 00:03:28.77 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 77.56 -p-value of test : 0.18 +Chi-square statistic : 65.00 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:01:45.86 +CPU time used : 00:01:48.14 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 70.82 -p-value of test : 0.35 +Chi-square statistic : 62.68 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:02:10.29 +CPU time used : 00:02:12.43 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 72.96 -p-value of test : 0.29 +Chi-square statistic : 69.38 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:02:10.94 +CPU time used : 00:02:09.51 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 30.03 -p-value of test : 0.78 +Chi-square statistic : 50.02 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:01:44.61 +CPU time used : 00:01:46.63 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 38.82 -p-value of test : 0.39 +Chi-square statistic : 24.44 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:02:10.00 +CPU time used : 00:02:09.90 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 41.30 -p-value of test : 0.29 +Chi-square statistic : 21.41 +p-value of test : 0.98 ----------------------------------------------- -CPU time used : 00:02:10.05 +CPU time used : 00:02:07.82 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 25.47 -p-value of test : 0.65 +Chi-square statistic : 34.70 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:03:21.62 +CPU time used : 00:03:29.69 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.32 -p-value of test : 0.10 +Kolmogorov-Smirnov+ statistic = D+ : 0.25 +p-value of test : 0.26 -Kolmogorov-Smirnov- statistic = D- : 0.056 -p-value of test : 0.91 +Kolmogorov-Smirnov- statistic = D- : 0.080 +p-value of test : 0.84 -Anderson-Darling statistic = A2 : 1.28 -p-value of test : 0.24 +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 : 40 -Chi-square statistic : 27.06 -p-value of test : 0.94 +Chi-square statistic : 32.19 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:01:57.86 +CPU time used : 00:01:54.85 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.016 -p-value of test : 0.98 +Kolmogorov-Smirnov+ statistic = D+ : 0.28 +p-value of test : 0.18 -Kolmogorov-Smirnov- statistic = D- : 0.34 -p-value of test : 0.08 +Kolmogorov-Smirnov- statistic = D- : 0.035 +p-value of test : 0.95 -Anderson-Darling statistic = A2 : 2.14 -p-value of test : 0.08 +Anderson-Darling statistic = A2 : 0.93 +p-value of test : 0.39 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 59.85 -p-value of test : 0.02 +Chi-square statistic : 28.17 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:01:58.05 +CPU time used : 00:01:54.93 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 2.58 -p-value of test : 0.46 +Chi-square statistic : 2.93 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:03:08.92 +CPU time used : 00:03:10.31 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 1.47 -p-value of test : 0.69 +Chi-square statistic : 0.91 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:03:10.59 +CPU time used : 00:03:10.77 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 1.37 -p-value of test : 0.51 +Chi-square statistic : 6.35 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:02:10.00 +CPU time used : 00:02:13.31 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 1.47 -p-value of test : 0.48 +Chi-square statistic : 0.92 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:01:47.10 +CPU time used : 00:01:48.56 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.47 +Kolmogorov-Smirnov+ statistic = D+ : 0.036 +p-value of test : 0.95 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.67 +Kolmogorov-Smirnov- statistic = D- : 0.26 +p-value of test : 0.22 -Anderson-Darling statistic = A2 : 0.32 -p-value of test : 0.92 +Anderson-Darling statistic = A2 : 0.90 +p-value of test : 0.41 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 133.94 -p-value of test : 0.39 +Chi-square statistic : 149.83 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:01:16.31 +CPU time used : 00:01:16.72 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.31 -p-value of test : 0.11 +Kolmogorov-Smirnov+ statistic = D+ : 0.087 +p-value of test : 0.82 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.67 +Kolmogorov-Smirnov- statistic = D- : 0.34 +p-value of test : 0.08 -Anderson-Darling statistic = A2 : 0.92 -p-value of test : 0.40 +Anderson-Darling statistic = A2 : 1.69 +p-value of test : 0.14 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17318.61 -p-value of test : 0.72 +Chi-square statistic :17698.02 +p-value of test : 0.08 ----------------------------------------------- -CPU time used : 00:02:02.81 +CPU time used : 00:02:03.20 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 : 42.88 -p-value of test : 0.20 +ChiSquare statistic : 29.59 +p-value of test : 0.77 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 47.51 -p-value of test : 0.08 +ChiSquare statistic : 31.75 +p-value of test : 0.63 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 35.68 -p-value of test : 0.08 +ChiSquare statistic : 23.55 +p-value of test : 0.55 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 32.37 -p-value of test : 0.12 +ChiSquare statistic : 25.54 +p-value of test : 0.38 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 16.71 -p-value of test : 0.47 +ChiSquare statistic : 14.76 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:01:02.31 +CPU time used : 00:01:04.13 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 : 41.56 -p-value of test : 0.24 +ChiSquare statistic : 53.09 +p-value of test : 0.03 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 27.63 -p-value of test : 0.81 +ChiSquare statistic : 40.85 +p-value of test : 0.23 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 30.14 -p-value of test : 0.22 +ChiSquare statistic : 23.45 +p-value of test : 0.55 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 21.09 -p-value of test : 0.63 +ChiSquare statistic : 27.36 +p-value of test : 0.29 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 9.81 -p-value of test : 0.91 +ChiSquare statistic : 17.02 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:01:03.20 +CPU time used : 00:01:05.25 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 : 141.06 -p-value of test : 0.60 +ChiSquare statistic : 134.67 +p-value of test : 0.74 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 158.70 -p-value of test : 0.22 +ChiSquare statistic : 119.60 +p-value of test : 0.95 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 464.81 -p-value of test : 0.87 +ChiSquare statistic : 471.41 +p-value of test : 0.82 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 111.56 -p-value of test : 0.94 +ChiSquare statistic : 156.18 +p-value of test : 0.11 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 64.93 -p-value of test : 0.77 +ChiSquare statistic : 72.65 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:01:18.56 +CPU time used : 00:01:23.88 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 : 113.58 -p-value of test : 0.98 +ChiSquare statistic : 151.93 +p-value of test : 0.35 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 146.32 -p-value of test : 0.48 +ChiSquare statistic : 131.17 +p-value of test : 0.81 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 542.26 -p-value of test : 0.09 +ChiSquare statistic : 498.07 +p-value of test : 0.52 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 133.81 -p-value of test : 0.54 +ChiSquare statistic : 118.68 +p-value of test : 0.85 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 66.99 -p-value of test : 0.71 +ChiSquare statistic : 87.72 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:01:19.54 +CPU time used : 00:01:25.00 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 : 441.57 -p-value of test : 0.02 +ChiSquare statistic : 390.69 +p-value of test : 0.40 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 366.98 -p-value of test : 0.73 +ChiSquare statistic : 388.77 +p-value of test : 0.42 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5107.45 -p-value of test : 0.14 +ChiSquare statistic : 5008.47 +p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 394.44 -p-value of test : 0.27 +ChiSquare statistic : 335.87 +p-value of test : 0.94 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 201.16 -p-value of test : 0.46 +ChiSquare statistic : 165.73 +p-value of test : 0.96 ----------------------------------------------- -CPU time used : 00:01:05.86 +CPU time used : 00:01:13.70 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 : 392.68 -p-value of test : 0.37 +ChiSquare statistic : 333.94 +p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 368.40 -p-value of test : 0.71 +ChiSquare statistic : 341.03 +p-value of test : 0.94 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4971.38 -p-value of test : 0.61 +ChiSquare statistic : 4987.75 +p-value of test : 0.55 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 435.66 -p-value of test : 0.02 +ChiSquare statistic : 392.63 +p-value of test : 0.29 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 199.10 -p-value of test : 0.50 +ChiSquare statistic : 196.92 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:01:06.54 +CPU time used : 00:01:13.22 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 12.19 -p-value of test : 0.43 +Chi2 statistic for size of jumps : 10.21 +p-value of test : 0.60 ----------------------------------------------- -Normal statistic for number of jumps : -402.36 +Normal statistic for number of jumps : -402.17 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:11.13 +CPU time used : 00:00:11.88 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 5.66 -p-value of test : 0.93 +Chi2 statistic for size of jumps : 15.19 +p-value of test : 0.23 ----------------------------------------------- -Normal statistic for number of jumps : -402.86 +Normal statistic for number of jumps : -402.27 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:11.43 +CPU time used : 00:00:12.00 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.072 -p-value of test : 0.87 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.60 -Kolmogorov-Smirnov- statistic = D- : 0.38 -p-value of test : 0.04 +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.25 -Anderson-Darling statistic = A2 : 2.88 -p-value of test : 0.03 +Anderson-Darling statistic = A2 : 0.81 +p-value of test : 0.47 Tests on the sum of all N observations -Standardized normal statistic : 1.99 -p-value of test : 0.02 +Standardized normal statistic : -0.21 +p-value of test : 0.58 -Sample variance : 1.20 -p-value of test : 0.29 +Sample variance : 1.91 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:01:01.38 +CPU time used : 00:01:06.27 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.28 -p-value of test : 0.18 +Kolmogorov-Smirnov+ statistic = D+ : 0.37 +p-value of test : 0.05 -Kolmogorov-Smirnov- statistic = D- : 0.072 -p-value of test : 0.87 +Kolmogorov-Smirnov- statistic = D- : 0.059 +p-value of test : 0.90 -Anderson-Darling statistic = A2 : 0.69 -p-value of test : 0.56 +Anderson-Darling statistic = A2 : 2.11 +p-value of test : 0.08 Tests on the sum of all N observations -Standardized normal statistic : -0.60 -p-value of test : 0.73 +Standardized normal statistic : -1.79 +p-value of test : 0.96 -Sample variance : 1.04 -p-value of test : 0.40 +Sample variance : 0.57 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:01:21.91 +CPU time used : 00:01:11.02 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.013 -p-value of test : 0.24 +Kolmogorov-Smirnov+ statistic = D+ : 7.46e-3 +p-value of test : 0.63 -Kolmogorov-Smirnov- statistic = D- : 0.011 -p-value of test : 0.40 +Kolmogorov-Smirnov- statistic = D- : 6.70e-3 +p-value of test : 0.69 -Anderson-Darling statistic = A2 : 0.94 -p-value of test : 0.39 +Anderson-Darling statistic = A2 : 0.28 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:00:57.45 +CPU time used : 00:00:58.50 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.014 -p-value of test : 0.21 +Kolmogorov-Smirnov+ statistic = D+ : 0.016 +p-value of test : 0.11 -Kolmogorov-Smirnov- statistic = D- : 5.61e-3 -p-value of test : 0.77 +Kolmogorov-Smirnov- statistic = D- : 9.70e-3 +p-value of test : 0.46 -Anderson-Darling statistic = A2 : 0.71 -p-value of test : 0.55 +Anderson-Darling statistic = A2 : 1.63 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:00:56.02 +CPU time used : 00:00:57.59 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 12.05 -p-value of test : 0.15 +Chi-square statistic : 5.02 +p-value of test : 0.76 ----------------------------------------------- -Global longest run of 1 : 34.00 -p-value of test : 0.25 +Global longest run of 1 : 31.00 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:02:00.15 +CPU time used : 00:02:03.22 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 4.69 -p-value of test : 0.79 +Chi-square statistic : 14.70 +p-value of test : 0.07 ----------------------------------------------- -Global longest run of 1 : 31.00 -p-value of test : 0.69 +Global longest run of 1 : 32.00 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:02:02.34 +CPU time used : 00:02:07.36 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.40 +Kolmogorov-Smirnov+ statistic = D+ : 0.24 +p-value of test : 0.28 -Kolmogorov-Smirnov- statistic = D- : 0.19 -p-value of test : 0.45 +Kolmogorov-Smirnov- statistic = D- : 0.054 +p-value of test : 0.91 -Anderson-Darling statistic = A2 : 0.55 -p-value of test : 0.69 +Anderson-Darling statistic = A2 : 0.96 +p-value of test : 0.38 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 193.55 -p-value of test : 0.62 +Chi-square statistic : 176.50 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:03:35.02 +CPU time used : 00:03:33.63 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.67 +Kolmogorov-Smirnov+ statistic = D+ : 0.089 +p-value of test : 0.81 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.68 +Kolmogorov-Smirnov- statistic = D- : 0.28 +p-value of test : 0.18 -Anderson-Darling statistic = A2 : 0.21 -p-value of test : 0.99 +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 : 200 -Chi-square statistic : 199.75 -p-value of test : 0.49 +Chi-square statistic : 225.68 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:03:39.11 +CPU time used : 00:03:37.79 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.57 +Kolmogorov-Smirnov+ statistic = D+ : 0.051 +p-value of test : 0.92 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.67 +Kolmogorov-Smirnov- statistic = D- : 0.29 +p-value of test : 0.14 -Anderson-Darling statistic = A2 : 0.29 -p-value of test : 0.95 +Anderson-Darling statistic = A2 : 0.90 +p-value of test : 0.41 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9979.61 -p-value of test : 0.56 +Chi-square statistic :10145.62 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:01:18.11 +CPU time used : 00:01:19.06 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.39 +Kolmogorov-Smirnov+ statistic = D+ : 0.23 +p-value of test : 0.29 -Kolmogorov-Smirnov- statistic = D- : 0.19 -p-value of test : 0.41 +Kolmogorov-Smirnov- statistic = D- : 4.43e-3 +p-value of test : 0.9954 -Anderson-Darling statistic = A2 : 0.73 -p-value of test : 0.53 +Anderson-Darling statistic = A2 : 1.19 +p-value of test : 0.27 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10061.02 -p-value of test : 0.33 +Chi-square statistic : 9778.03 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:01:20.31 +CPU time used : 00:01:22.63 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.82 -p-value of test : 0.21 +Normal statistic : -1.15 +p-value of test : 0.87 ----------------------------------------------- -CPU time used : 00:01:32.86 +CPU time used : 00:01:35.24 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 2.12 -p-value of test : 0.02 +Normal statistic : 0.24 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:01:27.43 +CPU time used : 00:01:29.43 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.23 -p-value of test : 0.59 +Normal statistic : -1.07 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:05:47.81 +CPU time used : 00:05:49.59 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.49 -p-value of test : 4.6e-3 +Kolmogorov-Smirnov+ statistic = D+ : 0.063 +p-value of test : 0.89 -Kolmogorov-Smirnov- statistic = D- : 0.055 -p-value of test : 0.91 +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.42 -Anderson-Darling statistic = A2 : 3.78 -p-value of test : 0.01 +Anderson-Darling statistic = A2 : 0.70 +p-value of test : 0.55 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4660.51 -p-value of test : 0.9906 +Chi-square statistic : 5001.25 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:02:32.22 +CPU time used : 00:02:33.33 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.25 -p-value of test : 0.25 +Kolmogorov-Smirnov+ statistic = D+ : 0.26 +p-value of test : 0.22 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.67 +Kolmogorov-Smirnov- statistic = D- : 0.091 +p-value of test : 0.80 -Anderson-Darling statistic = A2 : 0.96 -p-value of test : 0.37 +Anderson-Darling statistic = A2 : 0.70 +p-value of test : 0.56 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4798.16 -p-value of test : 0.82 +Chi-square statistic : 4852.34 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:02:36.65 +CPU time used : 00:02:38.02 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 : 4111.99 -p-value of test : 0.52 +Chi-square statistic : 4109.26 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:01:52.45 +CPU time used : 00:01:52.68 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 : 4109.66 -p-value of test : 0.53 +Chi-square statistic : 4361.88 +p-value of test : 4.0e-3 ----------------------------------------------- -CPU time used : 00:01:55.49 +CPU time used : 00:01:55.58 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 :11947.64 -p-value of test : 0.21 +Chi-square statistic :11784.01 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:02:02.20 +CPU time used : 00:02:01.77 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 <TRUNCATED>