http://git-wip-us.apache.org/repos/asf/commons-rng/blob/a61e17b9/src/site/resources/txt/userguide/stress/tu/run_1/tu_6 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_1/tu_6 b/src/site/resources/txt/userguide/stress/tu/run_1/tu_6 index 1687e93..db45c98 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_1/tu_6 +++ b/src/site/resources/txt/userguide/stress/tu/run_1/tu_6 @@ -1,9 +1,9 @@ # -# RNG: org.apache.commons.rng.internal.source32.Well19937c +# RNG: org.apache.commons.rng.core.source32.Well19937c # -# 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 : 0.15 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:02:17.05 +CPU time used : 00:02:35.78 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 : 0.69 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:02:36.62 +CPU time used : 00:02:34.86 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 : 1289 -p-value of test : 0.98 +Observed number of collisions : 1311 +p-value of test : 0.92 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334409 - j = 1 : 599997422 - j = 2 : 1289 + j = 0 : 131940795334431 + j = 1 : 599997378 + j = 2 : 1311 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:11.79 +CPU time used : 00:05:46.88 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 : 1331 -p-value of test : 0.81 +Observed number of collisions : 1359 +p-value of test : 0.55 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334451 - j = 1 : 599997338 - j = 2 : 1331 + j = 0 : 131940795334479 + j = 1 : 599997282 + j = 2 : 1359 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:31.55 +CPU time used : 00:06:36.16 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 : 1371 -p-value of test : 0.43 +Observed number of collisions : 1358 +p-value of test : 0.56 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334491 - j = 1 : 599997258 - j = 2 : 1371 + j = 0 : 131940795334478 + j = 1 : 599997284 + j = 2 : 1358 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:18.80 +CPU time used : 00:09:50.10 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 : 1434 -p-value of test : 0.03 +Observed number of collisions : 1396 +p-value of test : 0.20 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334554 - j = 1 : 599997132 - j = 2 : 1434 + j = 0 : 131940795334516 + j = 1 : 599997208 + j = 2 : 1396 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:02.02 +CPU time used : 00:09:41.36 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 : 1348 -p-value of test : 0.66 +Observed number of collisions : 1433 +p-value of test : 0.03 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334468 - j = 1 : 599997304 - j = 2 : 1348 + j = 0 : 131940795334553 + j = 1 : 599997134 + j = 2 : 1433 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:44.73 +CPU time used : 00:09:38.76 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 : 1363 -p-value of test : 0.51 +Observed number of collisions : 1357 +p-value of test : 0.57 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334483 - j = 1 : 599997274 - j = 2 : 1363 + j = 0 : 131940795334477 + j = 1 : 599997286 + j = 2 : 1357 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:39.03 +CPU time used : 00:09:56.57 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 : 1307 +Observed number of collisions : 1305 p-value of test : 0.94 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334427 - j = 1 : 599997386 - j = 2 : 1307 + j = 0 : 131940795334425 + j = 1 : 599997390 + j = 2 : 1305 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:12.57 +CPU time used : 00:09:55.01 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 : 1341 -p-value of test : 0.73 +Observed number of collisions : 1302 +p-value of test : 0.95 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334461 - j = 1 : 599997318 - j = 2 : 1341 + j = 0 : 131940795334422 + j = 1 : 599997396 + j = 2 : 1302 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:00.96 +CPU time used : 00:10:06.27 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 : 1469 -p-value of test : 2.6e-3 +Observed number of collisions : 1303 +p-value of test : 0.95 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334589 - j = 1 : 599997062 - j = 2 : 1469 + j = 0 : 131940795334423 + j = 1 : 599997394 + j = 2 : 1303 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:32.44 +CPU time used : 00:09:57.52 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 : 1317 -p-value of test : 0.90 +Observed number of collisions : 1441 +p-value of test : 0.02 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334437 - j = 1 : 599997366 - j = 2 : 1317 + j = 0 : 131940795334561 + j = 1 : 599997118 + j = 2 : 1441 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:10:01.98 +CPU time used : 00:09:07.92 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5363 -p-value of test : 0.78 +Total observed number : 5419 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:05:38.67 +CPU time used : 00:05:31.11 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4451 -p-value of test : 0.04 +Total observed number : 4350 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:02:29.52 +CPU time used : 00:02:26.80 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7174 -p-value of test : 0.95 +Total observed number : 7394 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:04:13.97 +CPU time used : 00:04:08.51 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4347 -p-value of test : 0.44 +Total observed number : 4377 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:03:07.52 +CPU time used : 00:03:03.94 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4420 -p-value of test : 0.10 +Total observed number : 4246 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:03:20.77 +CPU time used : 00:03:17.39 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7279 -p-value of test : 0.67 +Total observed number : 7286 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:05:25.76 +CPU time used : 00:05:15.75 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7295 -p-value of test : 0.60 +Total observed number : 7261 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:05:21.68 +CPU time used : 00:05:16.85 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7227 -p-value of test : 0.86 +Total observed number : 7461 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:06:59.55 +CPU time used : 00:06:51.98 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7285 -p-value of test : 0.65 +Total observed number : 7321 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:07:43.47 +CPU time used : 00:07:36.21 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) : 0.53 -p-value of test : 0.71 +Stat. AD on the N values (NP) : 0.24 +p-value of test : 0.97 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) : 0.28 -p-value of test : 0.95 +A2 test on the values of A2 (m-NP) : 0.50 +p-value of test : 0.75 -Test on the Nm values of W_{n,i}(mNP1): 0.26 -p-value of test : 0.97 +Test on the Nm values of W_{n,i}(mNP1): 0.28 +p-value of test : 0.96 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 892 -p-value of test : 0.60 +Number of jumps of Y : 875 +p-value of test : 0.79 -Stat. AD (mNP2) : 0.45 -p-value of test : 0.80 +Stat. AD (mNP2) : 0.61 +p-value of test : 0.63 -Stat. AD after spacings (mNP2-S) : 1.24 -p-value of test : 0.25 +Stat. AD after spacings (mNP2-S) : 0.71 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:05:00.76 +CPU time used : 00:04:22.53 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) : 2.52 -p-value of test : 0.05 +Stat. AD on the N values (NP) : 1.55 +p-value of test : 0.17 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) : 1.49 -p-value of test : 0.18 +A2 test on the values of A2 (m-NP) : 1.06 +p-value of test : 0.33 -Test on the Nm values of W_{n,i}(mNP1): 1.22 -p-value of test : 0.26 +Test on the Nm values of W_{n,i}(mNP1): 0.58 +p-value of test : 0.67 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 565 -p-value of test : 0.92 - -Stat. AD (mNP2) : 0.42 -p-value of test : 0.83 +Number of jumps of Y : 629 +p-value of test : 0.12 -Stat. AD after spacings (mNP2-S) : 1.08 +Stat. AD (mNP2) : 1.08 p-value of test : 0.32 +Stat. AD after spacings (mNP2-S) : 0.48 +p-value of test : 0.77 + ----------------------------------------------- -CPU time used : 00:03:12.03 +CPU time used : 00:02:52.84 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) : 1.30 -p-value of test : 0.23 +Stat. AD on the N values (NP) : 1.09 +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) : 0.90 -p-value of test : 0.41 +A2 test on the values of A2 (m-NP) : 2.76 +p-value of test : 0.04 -Test on the Nm values of W_{n,i}(mNP1): 0.94 -p-value of test : 0.39 +Test on the Nm values of W_{n,i}(mNP1): 0.21 +p-value of test : 0.99 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 320 -p-value of test : 0.13 +Number of jumps of Y : 300 +p-value of test : 0.51 -Stat. AD (mNP2) : 0.34 -p-value of test : 0.91 +Stat. AD (mNP2) : 1.03 +p-value of test : 0.34 -Stat. AD after spacings (mNP2-S) : 0.76 -p-value of test : 0.51 +Stat. AD after spacings (mNP2-S) : 0.59 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:04:14.03 +CPU time used : 00:04:04.89 Generator state: N/A @@ -1031,18 +1031,18 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 1.32 -p-value of test : 0.22 +Stat. AD on the N values (NP) : 1.06 +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) : 1.10 -p-value of test : 0.31 +A2 test on the values of A2 (m-NP) : 0.52 +p-value of test : 0.72 -Test on the Nm values of W_{n,i}(mNP1): 0.73 -p-value of test : 0.54 +Test on the Nm values of W_{n,i}(mNP1): 0.52 +p-value of test : 0.72 Test on the jump times of Y (superposition of Yn): @@ -1051,14 +1051,14 @@ Expected number of jumps of Y = mN : 150 Number of jumps of Y : 148 p-value of test : 0.54 -Stat. AD (mNP2) : 0.43 -p-value of test : 0.81 +Stat. AD (mNP2) : 1.08 +p-value of test : 0.32 -Stat. AD after spacings (mNP2-S) : 0.79 -p-value of test : 0.49 +Stat. AD after spacings (mNP2-S) : 0.53 +p-value of test : 0.72 ----------------------------------------------- -CPU time used : 00:04:30.84 +CPU time used : 00:04:33.37 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 4.09 -p-value of test : 0.77 +Chi-square statistic : 10.98 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:01:41.54 +CPU time used : 00:01:41.79 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 19.76 -p-value of test : 6.1e-3 +Chi-square statistic : 19.28 +p-value of test : 7.3e-3 ----------------------------------------------- -CPU time used : 00:02:00.37 +CPU time used : 00:01:58.29 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 10.85 -p-value of test : 0.90 +Chi-square statistic : 17.17 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:01:38.87 +CPU time used : 00:01:37.78 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 11.54 -p-value of test : 0.87 +Chi-square statistic : 15.98 +p-value of test : 0.59 ----------------------------------------------- -CPU time used : 00:01:57.15 +CPU time used : 00:01:54.81 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 56.84 -p-value of test : 0.37 +Chi-square statistic : 70.11 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:02:09.97 +CPU time used : 00:02:09.14 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 46.35 -p-value of test : 0.76 +Chi-square statistic : 47.16 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:02:29.93 +CPU time used : 00:02:32.37 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 53.64 -p-value of test : 0.49 +Chi-square statistic : 48.47 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:02:26.98 +CPU time used : 00:02:31.50 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 51.69 -p-value of test : 0.56 +Chi-square statistic : 55.41 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:02:23.65 +CPU time used : 00:02:31.72 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 224.19 -p-value of test : 0.63 +Chi-square statistic : 184.99 +p-value of test : 0.99 ----------------------------------------------- -CPU time used : 00:02:40.63 +CPU time used : 00:02:55.46 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 447.86 -p-value of test : 0.31 +Chi-square statistic : 421.68 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:03:57.78 +CPU time used : 00:04:10.80 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1562.27 -p-value of test : 0.01 +Chi-square statistic : 1356.25 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:04:02.70 +CPU time used : 00:04:14.71 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 6983.46 -p-value of test : 0.70 +Chi-square statistic : 7204.59 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:04:08.31 +CPU time used : 00:04:11.63 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.65 +Kolmogorov-Smirnov+ statistic = D+ : 0.28 +p-value of test : 0.40 -Kolmogorov-Smirnov- statistic = D- : 0.46 -p-value of test : 0.08 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.85 -Anderson-Darling statistic = A2 : 1.11 -p-value of test : 0.30 +Anderson-Darling statistic = A2 : 0.51 +p-value of test : 0.72 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 33.86 -p-value of test : 0.29 +Chi-square statistic : 23.66 +p-value of test : 0.79 ----------------------------------------------- -CPU time used : 00:02:03.68 +CPU time used : 00:02:06.64 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.72 +Kolmogorov-Smirnov+ statistic = D+ : 0.43 +p-value of test : 0.02 -Kolmogorov-Smirnov- statistic = D- : 0.27 -p-value of test : 0.19 +Kolmogorov-Smirnov- statistic = D- : 0.043 +p-value of test : 0.94 -Anderson-Darling statistic = A2 : 1.15 -p-value of test : 0.29 +Anderson-Darling statistic = A2 : 2.96 +p-value of test : 0.03 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 66.13 -p-value of test : 0.27 +Chi-square statistic : 36.63 +p-value of test : 0.9925 ----------------------------------------------- -CPU time used : 00:04:58.32 +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 : 7.45 -p-value of test : 0.19 +Value of the statistic : 1.28 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:01:30.38 +CPU time used : 00:01:34.82 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 : 124.69 -p-value of test : 0.34 +Value of the statistic : 116.47 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:02:36.19 +CPU time used : 00:02:43.62 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 : 5168.51 -p-value of test : 0.10 +Value of the statistic : 4954.34 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:01:58.84 +CPU time used : 00:02:04.69 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 : 0.67 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:03:51.22 +CPU time used : 00:03:58.95 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 : 45798 -p-value of test : 0.65 +Observed number of collisions : 45473 +p-value of test : 0.97 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869798 - j = 1 : 399908409 - j = 2 : 45788 - j = 3 : 5 + j = 0 : 1743165869473 + j = 1 : 399909057 + j = 2 : 45467 + j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:50.42 +CPU time used : 00:05:58.47 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 : 45885 -p-value of test : 0.49 +Observed number of collisions : 45740 +p-value of test : 0.74 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869885 - j = 1 : 399908235 - j = 2 : 45876 - j = 3 : 3 - j = 4 : 1 + j = 0 : 1743165869740 + j = 1 : 399908522 + j = 2 : 45736 + j = 3 : 2 + j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:36.63 +CPU time used : 00:05:48.82 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.35 +Kolmogorov-Smirnov+ statistic = D+ : 0.063 +p-value of test : 0.70 -Kolmogorov-Smirnov- statistic = D- : 0.028 -p-value of test : 0.92 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.16 -Anderson-Darling statistic = A2 : 0.70 -p-value of test : 0.55 +Anderson-Darling statistic = A2 : 1.21 +p-value of test : 0.26 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 : 0.13 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.06 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.11 -Kolmogorov-Smirnov- statistic = D- : 0.035 +Kolmogorov-Smirnov- statistic = D- : 0.034 p-value of test : 0.89 -Anderson-Darling statistic = A2 : 1.38 -p-value of test : 0.21 +Anderson-Darling statistic = A2 : 1.18 +p-value of test : 0.28 ----------------------------------------------- -CPU time used : 00:04:15.85 +CPU time used : 00:05:08.15 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.23 +Kolmogorov-Smirnov+ statistic = D+ : 0.063 +p-value of test : 0.76 -Kolmogorov-Smirnov- statistic = D- : 0.034 -p-value of test : 0.91 +Kolmogorov-Smirnov- statistic = D- : 0.083 +p-value of test : 0.63 -Anderson-Darling statistic = A2 : 0.86 -p-value of test : 0.44 +Anderson-Darling statistic = A2 : 0.20 +p-value of test : 0.9904 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.86 +p-value of test : 0.41 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.21 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.47 -Kolmogorov-Smirnov- statistic = D- : 0.078 -p-value of test : 0.66 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.18 -Anderson-Darling statistic = A2 : 0.75 -p-value of test : 0.52 +Anderson-Darling statistic = A2 : 0.76 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:04:00.70 +CPU time used : 00:04:39.03 Generator state: N/A @@ -1802,14 +1802,14 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.26 -p-value of test : 0.06 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.32 -Kolmogorov-Smirnov- statistic = D- : 0.077 -p-value of test : 0.75 +Kolmogorov-Smirnov- statistic = D- : 0.081 +p-value of test : 0.73 -Anderson-Darling statistic = A2 : 0.80 -p-value of test : 0.48 +Anderson-Darling statistic = A2 : 0.64 +p-value of test : 0.61 Test on the sum of all N observations Number of degrees of freedom : 1999980 @@ -1820,18 +1820,18 @@ p-value of test : 0.71 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.28 +Kolmogorov-Smirnov+ statistic = D+ : 7.24e-3 +p-value of test : 0.9917 -Kolmogorov-Smirnov- statistic = D- : 0.068 -p-value of test : 0.80 +Kolmogorov-Smirnov- statistic = D- : 0.30 +p-value of test : 0.02 -Anderson-Darling statistic = A2 : 0.55 -p-value of test : 0.69 +Anderson-Darling statistic = A2 : 3.07 +p-value of test : 0.03 ----------------------------------------------- -CPU time used : 00:03:10.37 +CPU time used : 00:03:36.35 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.040 -p-value of test : 0.91 +Kolmogorov-Smirnov+ statistic = D+ : 0.061 +p-value of test : 0.83 -Kolmogorov-Smirnov- statistic = D- : 0.30 -p-value of test : 0.02 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.37 -Anderson-Darling statistic = A2 : 3.00 -p-value of test : 0.03 +Anderson-Darling statistic = A2 : 0.57 +p-value of test : 0.68 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 : 0.21 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.38 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.57 -Kolmogorov-Smirnov- statistic = D- : 0.085 -p-value of test : 0.71 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.43 -Anderson-Darling statistic = A2 : 0.51 -p-value of test : 0.73 +Anderson-Darling statistic = A2 : 0.48 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:03:42.19 +CPU time used : 00:04:06.27 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.04 +Kolmogorov-Smirnov+ statistic = D+ : 0.046 +p-value of test : 0.82 -Kolmogorov-Smirnov- statistic = D- : 0.090 -p-value of test : 0.49 +Kolmogorov-Smirnov- statistic = D- : 0.097 +p-value of test : 0.45 -Anderson-Darling statistic = A2 : 1.62 -p-value of test : 0.15 +Anderson-Darling statistic = A2 : 0.37 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:03:08.29 +CPU time used : 00:04:28.45 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.061 -p-value of test : 0.83 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.33 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.51 +Kolmogorov-Smirnov- statistic = D- : 0.095 +p-value of test : 0.66 -Anderson-Darling statistic = A2 : 0.34 -p-value of test : 0.90 +Anderson-Darling statistic = A2 : 0.48 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:02:12.47 +CPU time used : 00:02:54.61 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.28 -p-value of test : 0.03 +Kolmogorov-Smirnov+ statistic = D+ : 0.030 +p-value of test : 0.95 -Kolmogorov-Smirnov- statistic = D- : 0.050 -p-value of test : 0.88 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.41 -Anderson-Darling statistic = A2 : 2.57 -p-value of test : 0.05 +Anderson-Darling statistic = A2 : 0.65 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:02:48.60 +CPU time used : 00:03:34.86 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.18e-4 -p-value of test : 0.57 +Kolmogorov-Smirnov+ statistic = D+ : 1.60e-4 +p-value of test : 0.36 -Kolmogorov-Smirnov- statistic = D- : 1.40e-4 -p-value of test : 0.46 +Kolmogorov-Smirnov- statistic = D- : 9.81e-5 +p-value of test : 0.68 -Anderson-Darling statistic = A2 : 0.33 -p-value of test : 0.92 +Anderson-Darling statistic = A2 : 0.50 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:00:40.44 +CPU time used : 00:00:44.92 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 2.31e-4 -p-value of test : 0.12 +Kolmogorov-Smirnov+ statistic = D+ : 3.30e-4 +p-value of test : 0.01 -Kolmogorov-Smirnov- statistic = D- : 5.79e-5 -p-value of test : 0.87 +Kolmogorov-Smirnov- statistic = D- : 6.69e-5 +p-value of test : 0.84 -Anderson-Darling statistic = A2 : 1.82 -p-value of test : 0.12 +Anderson-Darling statistic = A2 : 2.40 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:00:42.70 +CPU time used : 00:00:47.50 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 1.46 -p-value of test : 0.07 +Normal statistic : -0.067 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:00:44.45 +CPU time used : 00:00:46.76 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.78 -p-value of test : 0.78 +Normal statistic : -1.09 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:00:44.23 +CPU time used : 00:00:46.00 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -1.84 -p-value of test : 0.97 +Normal statistic : -1.00 +p-value of test : 0.84 ----------------------------------------------- -CPU time used : 00:02:27.38 +CPU time used : 00:03:21.21 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -0.072 -p-value of test : 0.53 +Normal statistic : 1.78 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:02:33.04 +CPU time used : 00:03:28.53 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 67.60 -p-value of test : 0.46 +Chi-square statistic : 75.10 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:01:44.39 +CPU time used : 00:01:46.89 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 62.63 -p-value of test : 0.63 +Chi-square statistic : 57.84 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:02:10.72 +CPU time used : 00:02:08.59 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 77.60 -p-value of test : 0.18 +Chi-square statistic : 72.84 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:02:12.00 +CPU time used : 00:02:11.61 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 38.60 -p-value of test : 0.40 +Chi-square statistic : 35.76 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:01:43.30 +CPU time used : 00:01:46.54 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 33.57 -p-value of test : 0.63 +Chi-square statistic : 36.58 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:02:09.82 +CPU time used : 00:02:08.53 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 42.57 -p-value of test : 0.24 +Chi-square statistic : 33.67 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:02:10.81 +CPU time used : 00:02:10.68 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 30.16 -p-value of test : 0.41 +Chi-square statistic : 33.24 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:03:22.73 +CPU time used : 00:03:30.21 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.32 +Kolmogorov-Smirnov+ statistic = D+ : 0.49 +p-value of test : 5.0e-3 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.46 +Kolmogorov-Smirnov- statistic = D- : 0.078 +p-value of test : 0.85 -Anderson-Darling statistic = A2 : 0.66 -p-value of test : 0.59 +Anderson-Darling statistic = A2 : 2.39 +p-value of test : 0.06 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 34.93 -p-value of test : 0.70 +Chi-square statistic : 24.10 +p-value of test : 0.98 ----------------------------------------------- -CPU time used : 00:01:50.43 +CPU time used : 00:01:54.64 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.74 +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.41 -Kolmogorov-Smirnov- statistic = D- : 0.41 -p-value of test : 0.03 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.38 -Anderson-Darling statistic = A2 : 1.50 -p-value of test : 0.18 +Anderson-Darling statistic = A2 : 0.80 +p-value of test : 0.48 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 46.26 -p-value of test : 0.23 +Chi-square statistic : 36.38 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:01:49.62 +CPU time used : 00:01:55.43 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 5.36 -p-value of test : 0.15 +Chi-square statistic : 5.06 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:03:10.05 +CPU time used : 00:03:13.86 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 3.55 -p-value of test : 0.31 +Chi-square statistic : 1.20 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:03:09.44 +CPU time used : 00:03:12.84 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.21 -p-value of test : 0.90 +Chi-square statistic : 0.58 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:02:12.88 +CPU time used : 00:02:13.09 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 5.93 -p-value of test : 0.05 +Chi-square statistic : 5.80 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:01:47.51 +CPU time used : 00:01:49.18 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.56 -p-value of test : 8.3e-4 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.71 -Kolmogorov-Smirnov- statistic = D- : 0.018 -p-value of test : 0.98 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.52 -Anderson-Darling statistic = A2 : 4.00 -p-value of test : 9.1e-3 +Anderson-Darling statistic = A2 : 0.31 +p-value of test : 0.93 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 90.93 -p-value of test : 0.9963 +Chi-square statistic : 131.10 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:01:15.83 +CPU time used : 00:01:16.90 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.65 +Kolmogorov-Smirnov+ statistic = D+ : 0.090 +p-value of test : 0.81 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.58 +Kolmogorov-Smirnov- statistic = D- : 0.32 +p-value of test : 0.10 -Anderson-Darling statistic = A2 : 0.38 -p-value of test : 0.86 +Anderson-Darling statistic = A2 : 1.21 +p-value of test : 0.26 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17355.83 -p-value of test : 0.65 +Chi-square statistic :17642.23 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:02:02.41 +CPU time used : 00:02:02.65 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 : 41.60 -p-value of test : 0.24 +ChiSquare statistic : 32.92 +p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 33.60 -p-value of test : 0.54 +ChiSquare statistic : 34.37 +p-value of test : 0.50 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 31.18 -p-value of test : 0.18 +ChiSquare statistic : 34.95 +p-value of test : 0.09 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 17.55 -p-value of test : 0.82 +ChiSquare statistic : 22.79 +p-value of test : 0.53 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 10.91 -p-value of test : 0.86 +ChiSquare statistic : 24.66 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:01:01.40 +CPU time used : 00:01:03.75 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 : 27.04 -p-value of test : 0.86 +ChiSquare statistic : 38.32 +p-value of test : 0.36 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 31.10 -p-value of test : 0.66 +ChiSquare statistic : 40.41 +p-value of test : 0.24 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 30.52 -p-value of test : 0.21 +ChiSquare statistic : 21.46 +p-value of test : 0.67 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 20.10 -p-value of test : 0.69 +ChiSquare statistic : 26.82 +p-value of test : 0.31 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 5.29 -p-value of test : 0.9968 +ChiSquare statistic : 12.34 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:01:03.00 +CPU time used : 00:01:04.75 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 : 163.39 -p-value of test : 0.15 +ChiSquare statistic : 151.57 +p-value of test : 0.36 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 145.14 -p-value of test : 0.50 +ChiSquare statistic : 159.53 +p-value of test : 0.21 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 478.94 -p-value of test : 0.74 +ChiSquare statistic : 532.45 +p-value of test : 0.15 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 163.98 -p-value of test : 0.05 +ChiSquare statistic : 185.02 +p-value of test : 3.3e-3 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 58.75 -p-value of test : 0.90 +ChiSquare statistic : 70.32 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:01:20.49 +CPU time used : 00:01:22.31 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 : 139.15 -p-value of test : 0.64 +ChiSquare statistic : 128.52 +p-value of test : 0.85 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 124.45 -p-value of test : 0.90 +ChiSquare statistic : 127.94 +p-value of test : 0.86 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 490.30 -p-value of test : 0.61 +ChiSquare statistic : 502.63 +p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 156.96 -p-value of test : 0.11 +ChiSquare statistic : 157.10 +p-value of test : 0.10 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 84.84 -p-value of test : 0.18 +ChiSquare statistic : 78.84 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:01:20.88 +CPU time used : 00:01:23.66 Generator state: N/A @@ -2808,23 +2808,23 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 384 -ChiSquare statistic : 355.37 -p-value of test : 0.85 +ChiSquare statistic : 416.63 +p-value of test : 0.12 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 378.15 -p-value of test : 0.57 +ChiSquare statistic : 368.76 +p-value of test : 0.70 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5129.43 +ChiSquare statistic : 5126.60 p-value of test : 0.10 @@ -2832,20 +2832,20 @@ p-value of test : 0.10 Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 429.25 -p-value of test : 0.04 +ChiSquare statistic : 388.14 +p-value of test : 0.35 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 182.57 -p-value of test : 0.81 +ChiSquare statistic : 207.61 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:01:07.68 +CPU time used : 00:01:12.06 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 : 334.76 -p-value of test : 0.97 +ChiSquare statistic : 403.19 +p-value of test : 0.24 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 375.64 -p-value of test : 0.61 +ChiSquare statistic : 354.57 +p-value of test : 0.86 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5013.63 -p-value of test : 0.44 +ChiSquare statistic : 5002.11 +p-value of test : 0.49 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 393.07 -p-value of test : 0.29 +ChiSquare statistic : 431.58 +p-value of test : 0.03 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 202.89 -p-value of test : 0.43 +ChiSquare statistic : 204.44 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:01:08.56 +CPU time used : 00:01:12.84 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 10.82 -p-value of test : 0.54 +Chi2 statistic for size of jumps : 11.52 +p-value of test : 0.48 ----------------------------------------------- -Normal statistic for number of jumps : -402.06 +Normal statistic for number of jumps : -402.10 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:11.25 +CPU time used : 00:00:12.06 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 10.55 -p-value of test : 0.57 +Chi2 statistic for size of jumps : 16.54 +p-value of test : 0.17 ----------------------------------------------- -Normal statistic for number of jumps : -402.47 +Normal statistic for number of jumps : -402.44 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:11.75 +CPU time used : 00:00:11.86 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.52 +Kolmogorov-Smirnov+ statistic = D+ : 0.081 +p-value of test : 0.84 -Kolmogorov-Smirnov- statistic = D- : 0.061 -p-value of test : 0.90 +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.35 -Anderson-Darling statistic = A2 : 0.38 -p-value of test : 0.87 +Anderson-Darling statistic = A2 : 0.63 +p-value of test : 0.62 Tests on the sum of all N observations -Standardized normal statistic : -0.65 -p-value of test : 0.74 +Standardized normal statistic : 0.65 +p-value of test : 0.26 -Sample variance : 0.87 -p-value of test : 0.55 +Sample variance : 1.65 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:01:12.25 +CPU time used : 00:01:07.65 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.43 -p-value of test : 0.02 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.54 -Kolmogorov-Smirnov- statistic = D- : 0.063 -p-value of test : 0.89 +Kolmogorov-Smirnov- statistic = D- : 0.34 +p-value of test : 0.08 -Anderson-Darling statistic = A2 : 3.70 -p-value of test : 0.01 +Anderson-Darling statistic = A2 : 0.94 +p-value of test : 0.39 Tests on the sum of all N observations -Standardized normal statistic : -2.26 -p-value of test : 0.99 +Standardized normal statistic : 0.54 +p-value of test : 0.29 -Sample variance : 0.72 -p-value of test : 0.70 +Sample variance : 1.01 +p-value of test : 0.43 ----------------------------------------------- -CPU time used : 00:01:09.18 +CPU time used : 00:01:10.61 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 9.08e-3 -p-value of test : 0.51 +Kolmogorov-Smirnov+ statistic = D+ : 7.15e-3 +p-value of test : 0.65 -Kolmogorov-Smirnov- statistic = D- : 0.012 -p-value of test : 0.31 +Kolmogorov-Smirnov- statistic = D- : 5.85e-3 +p-value of test : 0.75 -Anderson-Darling statistic = A2 : 0.62 -p-value of test : 0.63 +Anderson-Darling statistic = A2 : 0.19 +p-value of test : 0.9939 ----------------------------------------------- -CPU time used : 00:00:57.43 +CPU time used : 00:00:58.27 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 6.12e-3 -p-value of test : 0.73 +Kolmogorov-Smirnov+ statistic = D+ : 0.018 +p-value of test : 0.07 -Kolmogorov-Smirnov- statistic = D- : 0.014 -p-value of test : 0.22 +Kolmogorov-Smirnov- statistic = D- : 7.10e-3 +p-value of test : 0.66 -Anderson-Darling statistic = A2 : 1.06 -p-value of test : 0.33 +Anderson-Darling statistic = A2 : 1.76 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:00:56.61 +CPU time used : 00:00:57.43 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 4.57 -p-value of test : 0.80 +Chi-square statistic : 4.95 +p-value of test : 0.76 ----------------------------------------------- -Global longest run of 1 : 35.00 -p-value of test : 0.14 +Global longest run of 1 : 31.00 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:55.31 +CPU time used : 00:02:02.75 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 6.94 -p-value of test : 0.54 +Chi-square statistic : 13.20 +p-value of test : 0.11 ----------------------------------------------- -Global longest run of 1 : 33.00 -p-value of test : 0.44 +Global longest run of 1 : 36.00 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:01:56.93 +CPU time used : 00:02:04.33 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.24 -p-value of test : 0.28 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.56 -Kolmogorov-Smirnov- statistic = D- : 0.093 -p-value of test : 0.79 +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.44 -Anderson-Darling statistic = A2 : 0.51 -p-value of test : 0.73 +Anderson-Darling statistic = A2 : 0.47 +p-value of test : 0.78 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 184.28 -p-value of test : 0.78 +Chi-square statistic : 198.76 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:03:27.91 +CPU time used : 00:03:23.93 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.067 -p-value of test : 0.88 +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- : 0.036 +p-value of test : 0.95 -Anderson-Darling statistic = A2 : 0.29 -p-value of test : 0.94 +Anderson-Darling statistic = A2 : 0.61 +p-value of test : 0.63 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 207.13 -p-value of test : 0.35 +Chi-square statistic : 180.86 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:03:32.47 +CPU time used : 00:03:29.11 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.048 -p-value of test : 0.93 +Kolmogorov-Smirnov+ statistic = D+ : 0.079 +p-value of test : 0.84 -Kolmogorov-Smirnov- statistic = D- : 0.34 -p-value of test : 0.08 +Kolmogorov-Smirnov- statistic = D- : 0.26 +p-value of test : 0.23 -Anderson-Darling statistic = A2 : 1.87 -p-value of test : 0.11 +Anderson-Darling statistic = A2 : 0.45 +p-value of test : 0.80 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10237.42 -p-value of test : 0.05 +Chi-square statistic :10075.71 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:01:18.75 +CPU time used : 00:01:19.70 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.10 -p-value of test : 0.75 +Kolmogorov-Smirnov+ statistic = D+ : 0.23 +p-value of test : 0.30 -Kolmogorov-Smirnov- statistic = D- : 0.39 -p-value of test : 0.04 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.58 -Anderson-Darling statistic = A2 : 2.13 -p-value of test : 0.08 +Anderson-Darling statistic = A2 : 1.58 +p-value of test : 0.16 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10258.43 -p-value of test : 0.03 +Chi-square statistic : 9931.05 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:20.29 +CPU time used : 00:01:21.95 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.048 -p-value of test : 0.52 +Normal statistic : -1.93 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:01:33.08 +CPU time used : 00:01:32.95 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -1.58 -p-value of test : 0.94 +Normal statistic : 0.54 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:01:28.00 +CPU time used : 00:01:28.50 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -1.01 -p-value of test : 0.84 +Normal statistic : 0.77 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:05:47.02 +CPU time used : 00:05:49.45 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.69 +Kolmogorov-Smirnov+ statistic = D+ : 0.086 +p-value of test : 0.82 Kolmogorov-Smirnov- statistic = D- : 0.24 -p-value of test : 0.28 +p-value of test : 0.27 -Anderson-Darling statistic = A2 : 0.66 -p-value of test : 0.59 +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 : 4890 -Chi-square statistic : 4957.46 -p-value of test : 0.25 +Chi-square statistic : 4981.21 +p-value of test : 0.18 ----------------------------------------------- -CPU time used : 00:02:33.70 +CPU time used : 00:02:31.72 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.073 -p-value of test : 0.86 +Kolmogorov-Smirnov+ statistic = D+ : 0.24 +p-value of test : 0.28 -Kolmogorov-Smirnov- statistic = D- : 0.23 -p-value of test : 0.31 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.47 -Anderson-Darling statistic = A2 : 0.46 -p-value of test : 0.79 +Anderson-Darling statistic = A2 : 0.69 +p-value of test : 0.57 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4950.63 -p-value of test : 0.27 +Chi-square statistic : 4847.08 +p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:02:38.41 +CPU time used : 00:02:38.16 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 : 4136.78 -p-value of test : 0.41 +Chi-square statistic : 4080.90 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:01:53.11 +CPU time used : 00:01:53.25 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 : 4220.03 -p-value of test : 0.13 +Chi-square statistic : 4020.73 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:01:57.09 +CPU time used : 00:01:59.08 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 :11940.60 -p-value of test : 0.23 +Chi-square statistic :11708.56 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:02:04.40 +CPU time used : 00:02:05.70 Generator state: N/A @@ -3549,11 +3549,11 @@ sstring_HammingIndep test: Count
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