http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/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 f8e08a3..1687e93 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 @@ -1,5 +1,5 @@ # -# RNG: org.apache.commons.math4.rng.internal.source32.Well19937c +# RNG: org.apache.commons.rng.internal.source32.Well19937c # # Java: 1.8.0_66 # Runtime: 1.8.0_66-b17 @@ -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 : 0.16 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:02:17.49 +CPU time used : 00:02:17.05 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 : 1.9e-3 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:42.55 +CPU time used : 00:02:36.62 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 : 1351 -p-value of test : 0.63 +Observed number of collisions : 1289 +p-value of test : 0.98 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334471 - j = 1 : 599997298 - j = 2 : 1351 + j = 0 : 131940795334409 + j = 1 : 599997422 + j = 2 : 1289 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:22.88 +CPU time used : 00:05:11.79 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 : 1320 -p-value of test : 0.88 +Observed number of collisions : 1331 +p-value of test : 0.81 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334440 - j = 1 : 599997360 - j = 2 : 1320 + j = 0 : 131940795334451 + j = 1 : 599997338 + j = 2 : 1331 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:16.19 +CPU time used : 00:06:31.55 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 : 1384 -p-value of test : 0.30 +Observed number of collisions : 1371 +p-value of test : 0.43 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334504 - j = 1 : 599997232 - j = 2 : 1384 + j = 0 : 131940795334491 + j = 1 : 599997258 + j = 2 : 1371 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:35.90 +CPU time used : 00:08:18.80 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 : 1348 -p-value of test : 0.66 +Observed number of collisions : 1434 +p-value of test : 0.03 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334468 - j = 1 : 599997304 - j = 2 : 1348 + j = 0 : 131940795334554 + j = 1 : 599997132 + j = 2 : 1434 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:42.91 +CPU time used : 00:09:02.02 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 : 1328 -p-value of test : 0.83 +Observed number of collisions : 1348 +p-value of test : 0.66 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334448 - j = 1 : 599997344 - j = 2 : 1328 + j = 0 : 131940795334468 + j = 1 : 599997304 + j = 2 : 1348 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:36.71 +CPU time used : 00:09:44.73 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 : 1348 -p-value of test : 0.66 +Observed number of collisions : 1363 +p-value of test : 0.51 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334468 - j = 1 : 599997304 - j = 2 : 1348 + j = 0 : 131940795334483 + j = 1 : 599997274 + j = 2 : 1363 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:33.30 +CPU time used : 00:09:39.03 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 : 1410 -p-value of test : 0.11 +Observed number of collisions : 1307 +p-value of test : 0.94 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334530 - j = 1 : 599997180 - j = 2 : 1410 + j = 0 : 131940795334427 + j = 1 : 599997386 + j = 2 : 1307 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:45.46 +CPU time used : 00:08:12.57 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 : 1380 -p-value of test : 0.34 +Observed number of collisions : 1341 +p-value of test : 0.73 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334500 - j = 1 : 599997240 - j = 2 : 1380 + j = 0 : 131940795334461 + j = 1 : 599997318 + j = 2 : 1341 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:47.94 +CPU time used : 00:09:00.96 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 : 1373 -p-value of test : 0.41 +Observed number of collisions : 1469 +p-value of test : 2.6e-3 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334493 - j = 1 : 599997254 - j = 2 : 1373 + j = 0 : 131940795334589 + j = 1 : 599997062 + j = 2 : 1469 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:58.94 +CPU time used : 00:09:32.44 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 : 1303 -p-value of test : 0.95 +Observed number of collisions : 1317 +p-value of test : 0.90 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334423 - j = 1 : 599997394 - j = 2 : 1303 + j = 0 : 131940795334437 + j = 1 : 599997366 + j = 2 : 1317 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:53.05 +CPU time used : 00:10:01.98 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5438 -p-value of test : 0.41 +Total observed number : 5363 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:04:24.51 +CPU time used : 00:05:38.67 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4296 -p-value of test : 0.73 +Total observed number : 4451 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:01:57.63 +CPU time used : 00:02:29.52 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7215 -p-value of test : 0.89 +Total observed number : 7174 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:03:09.82 +CPU time used : 00:04:13.97 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4312 -p-value of test : 0.64 +Total observed number : 4347 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:02:21.06 +CPU time used : 00:03:07.52 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4263 -p-value of test : 0.87 +Total observed number : 4420 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:02:27.47 +CPU time used : 00:03:20.77 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7413 -p-value of test : 0.14 +Total observed number : 7279 +p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:03:57.06 +CPU time used : 00:05:25.76 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7382 -p-value of test : 0.23 +Total observed number : 7295 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:04:00.22 +CPU time used : 00:05:21.68 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7266 -p-value of test : 0.73 +Total observed number : 7227 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:05:04.01 +CPU time used : 00:06:59.55 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7230 -p-value of test : 0.85 +Total observed number : 7285 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:05:26.09 +CPU time used : 00:07:43.47 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) : 0.77 -p-value of test : 0.50 +Stat. AD on the N values (NP) : 0.53 +p-value of test : 0.71 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 2.35 -p-value of test : 0.06 +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): 2.25 -p-value of test : 0.07 +Test on the Nm values of W_{n,i}(mNP1): 0.26 +p-value of test : 0.97 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 864 -p-value of test : 0.88 +Number of jumps of Y : 892 +p-value of test : 0.60 -Stat. AD (mNP2) : 3.12 -p-value of test : 0.02 +Stat. AD (mNP2) : 0.45 +p-value of test : 0.80 -Stat. AD after spacings (mNP2-S) : 0.50 -p-value of test : 0.75 +Stat. AD after spacings (mNP2-S) : 1.24 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:03:16.18 +CPU time used : 00:05:00.76 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) : 0.41 -p-value of test : 0.84 +Stat. AD on the N values (NP) : 2.52 +p-value of test : 0.05 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) : 1.94 -p-value of test : 0.10 +A2 test on the values of A2 (m-NP) : 1.49 +p-value of test : 0.18 -Test on the Nm values of W_{n,i}(mNP1): 1.81 -p-value of test : 0.12 +Test on the Nm values of W_{n,i}(mNP1): 1.22 +p-value of test : 0.26 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 577 -p-value of test : 0.82 +Number of jumps of Y : 565 +p-value of test : 0.92 -Stat. AD (mNP2) : 0.38 -p-value of test : 0.86 +Stat. AD (mNP2) : 0.42 +p-value of test : 0.83 -Stat. AD after spacings (mNP2-S) : 0.64 -p-value of test : 0.61 +Stat. AD after spacings (mNP2-S) : 1.08 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:02:06.22 +CPU time used : 00:03:12.03 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) : 1.37 -p-value of test : 0.21 +Stat. AD on the N values (NP) : 1.30 +p-value of test : 0.23 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) : 1.14 -p-value of test : 0.29 +A2 test on the values of A2 (m-NP) : 0.90 +p-value of test : 0.41 -Test on the Nm values of W_{n,i}(mNP1): 0.47 -p-value of test : 0.78 +Test on the Nm values of W_{n,i}(mNP1): 0.94 +p-value of test : 0.39 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 301 -p-value of test : 0.48 +Number of jumps of Y : 320 +p-value of test : 0.13 -Stat. AD (mNP2) : 1.54 -p-value of test : 0.17 +Stat. AD (mNP2) : 0.34 +p-value of test : 0.91 -Stat. AD after spacings (mNP2-S) : 1.52 -p-value of test : 0.17 +Stat. AD after spacings (mNP2-S) : 0.76 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:03:03.36 +CPU time used : 00:04:14.03 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) : 0.81 -p-value of test : 0.47 +Stat. AD on the N values (NP) : 1.32 +p-value of test : 0.22 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) : 0.41 -p-value of test : 0.83 +A2 test on the values of A2 (m-NP) : 1.10 +p-value of test : 0.31 -Test on the Nm values of W_{n,i}(mNP1): 1.13 -p-value of test : 0.30 +Test on the Nm values of W_{n,i}(mNP1): 0.73 +p-value of test : 0.54 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 134 -p-value of test : 0.90 +Number of jumps of Y : 148 +p-value of test : 0.54 -Stat. AD (mNP2) : 0.25 -p-value of test : 0.97 +Stat. AD (mNP2) : 0.43 +p-value of test : 0.81 -Stat. AD after spacings (mNP2-S) : 1.97 -p-value of test : 0.10 +Stat. AD after spacings (mNP2-S) : 0.79 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:03:20.86 +CPU time used : 00:04:30.84 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 1.31 -p-value of test : 0.99 +Chi-square statistic : 4.09 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:01:16.31 +CPU time used : 00:01:41.54 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 19.73 -p-value of test : 6.2e-3 +Chi-square statistic : 19.76 +p-value of test : 6.1e-3 ----------------------------------------------- -CPU time used : 00:01:25.23 +CPU time used : 00:02:00.37 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 19.07 -p-value of test : 0.39 +Chi-square statistic : 10.85 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:01:19.15 +CPU time used : 00:01:38.87 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 13.00 -p-value of test : 0.79 +Chi-square statistic : 11.54 +p-value of test : 0.87 ----------------------------------------------- -CPU time used : 00:01:26.59 +CPU time used : 00:01:57.15 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 65.15 -p-value of test : 0.14 +Chi-square statistic : 56.84 +p-value of test : 0.37 ----------------------------------------------- -CPU time used : 00:01:39.60 +CPU time used : 00:02:09.97 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 52.33 -p-value of test : 0.54 +Chi-square statistic : 46.35 +p-value of test : 0.76 ----------------------------------------------- -CPU time used : 00:01:58.34 +CPU time used : 00:02:29.93 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 48.91 -p-value of test : 0.67 +Chi-square statistic : 53.64 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:01:55.10 +CPU time used : 00:02:26.98 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 55.15 -p-value of test : 0.43 +Chi-square statistic : 51.69 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:01:55.77 +CPU time used : 00:02:23.65 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 211.34 -p-value of test : 0.83 +Chi-square statistic : 224.19 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:02:09.39 +CPU time used : 00:02:40.63 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 463.29 -p-value of test : 0.16 +Chi-square statistic : 447.86 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:02:56.40 +CPU time used : 00:03:57.78 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1320.58 -p-value of test : 0.99 +Chi-square statistic : 1562.27 +p-value of test : 0.01 ----------------------------------------------- -CPU time used : 00:03:05.47 +CPU time used : 00:04:02.70 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7157.94 -p-value of test : 0.17 +Chi-square statistic : 6983.46 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:02:59.72 +CPU time used : 00:04:08.31 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.73 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.65 -Kolmogorov-Smirnov- statistic = D- : 0.37 -p-value of test : 0.19 +Kolmogorov-Smirnov- statistic = D- : 0.46 +p-value of test : 0.08 -Anderson-Darling statistic = A2 : 1.12 +Anderson-Darling statistic = A2 : 1.11 p-value of test : 0.30 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 35.49 -p-value of test : 0.23 +Chi-square statistic : 33.86 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:01:42.61 +CPU time used : 00:02:03.68 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.31 -p-value of test : 0.12 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.72 -Kolmogorov-Smirnov- statistic = D- : 0.022 -p-value of test : 0.97 +Kolmogorov-Smirnov- statistic = D- : 0.27 +p-value of test : 0.19 -Anderson-Darling statistic = A2 : 1.53 -p-value of test : 0.17 +Anderson-Darling statistic = A2 : 1.15 +p-value of test : 0.29 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 42.48 -p-value of test : 0.96 +Chi-square statistic : 66.13 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:04:02.06 +CPU time used : 00:04:58.32 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 : 3.81 -p-value of test : 0.58 +Value of the statistic : 7.45 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:01:10.22 +CPU time used : 00:01:30.38 Generator state: N/A @@ -1489,12 +1489,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 119 -Value of the statistic : 125.17 -p-value of test : 0.33 +Value of the statistic : 124.69 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:02:02.31 +CPU time used : 00:02:36.19 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 : 4870.21 -p-value of test : 0.95 +Value of the statistic : 5168.51 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:01:31.71 +CPU time used : 00:01:58.84 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 : 0.17 +p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:03:08.62 +CPU time used : 00:03:51.22 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 : 45971 -p-value of test : 0.34 +Observed number of collisions : 45798 +p-value of test : 0.65 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869971 - j = 1 : 399908064 - j = 2 : 45959 - j = 3 : 6 + j = 0 : 1743165869798 + j = 1 : 399908409 + j = 2 : 45788 + j = 3 : 5 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:25.12 +CPU time used : 00:05:50.42 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 : 45872 -p-value of test : 0.51 +Observed number of collisions : 45885 +p-value of test : 0.49 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869872 - j = 1 : 399908261 - j = 2 : 45862 - j = 3 : 5 - j = 4 : 0 + j = 0 : 1743165869885 + j = 1 : 399908235 + j = 2 : 45876 + j = 3 : 3 + j = 4 : 1 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:31.45 +CPU time used : 00:05:36.63 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.073 -p-value of test : 0.62 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.35 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.22 +Kolmogorov-Smirnov- statistic = D- : 0.028 +p-value of test : 0.92 -Anderson-Darling statistic = A2 : 0.93 -p-value of test : 0.40 +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 : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.30 +p-value of test : 0.83 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.13 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.06 -Kolmogorov-Smirnov- statistic = D- : 0.048 -p-value of test : 0.80 +Kolmogorov-Smirnov- statistic = D- : 0.035 +p-value of test : 0.89 -Anderson-Darling statistic = A2 : 1.16 -p-value of test : 0.28 +Anderson-Darling statistic = A2 : 1.38 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:03:18.02 +CPU time used : 00:04:15.85 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.06 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.23 -Kolmogorov-Smirnov- statistic = D- : 0.030 -p-value of test : 0.93 +Kolmogorov-Smirnov- statistic = D- : 0.034 +p-value of test : 0.91 -Anderson-Darling statistic = A2 : 2.54 -p-value of test : 0.05 +Anderson-Darling statistic = A2 : 0.86 +p-value of test : 0.44 Test on the sum of all N observations Number of degrees of freedom : 2999970 -Chi-square statistic : 2.99e+6 -p-value of test : 0.98 +Chi-square statistic : 3.00e+6 +p-value of test : 0.86 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.097 -p-value of test : 0.53 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.21 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.22 +Kolmogorov-Smirnov- statistic = D- : 0.078 +p-value of test : 0.66 -Anderson-Darling statistic = A2 : 0.81 -p-value of test : 0.47 +Anderson-Darling statistic = A2 : 0.75 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:03:04.14 +CPU time used : 00:04:00.70 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.23 +Kolmogorov-Smirnov+ statistic = D+ : 0.26 +p-value of test : 0.06 -Kolmogorov-Smirnov- statistic = D- : 0.085 -p-value of test : 0.71 +Kolmogorov-Smirnov- statistic = D- : 0.077 +p-value of test : 0.75 -Anderson-Darling statistic = A2 : 0.35 -p-value of test : 0.89 +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 : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.60 +p-value of test : 0.71 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.33 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.28 -Kolmogorov-Smirnov- statistic = D- : 0.071 -p-value of test : 0.78 +Kolmogorov-Smirnov- statistic = D- : 0.068 +p-value of test : 0.80 -Anderson-Darling statistic = A2 : 0.34 -p-value of test : 0.90 +Anderson-Darling statistic = A2 : 0.55 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:02:31.56 +CPU time used : 00:03:10.37 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.52 +Kolmogorov-Smirnov+ statistic = D+ : 0.040 +p-value of test : 0.91 -Kolmogorov-Smirnov- statistic = D- : 0.24 -p-value of test : 0.08 +Kolmogorov-Smirnov- statistic = D- : 0.30 +p-value of test : 0.02 -Anderson-Darling statistic = A2 : 0.80 -p-value of test : 0.48 +Anderson-Darling statistic = A2 : 3.00 +p-value of test : 0.03 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.37 +p-value of test : 0.01 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.076 -p-value of test : 0.76 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.38 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.33 +Kolmogorov-Smirnov- statistic = D- : 0.085 +p-value of test : 0.71 -Anderson-Darling statistic = A2 : 0.36 -p-value of test : 0.89 +Anderson-Darling statistic = A2 : 0.51 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:02:48.93 +CPU time used : 00:03:42.19 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.079 -p-value of test : 0.58 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.04 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.22 +Kolmogorov-Smirnov- statistic = D- : 0.090 +p-value of test : 0.49 -Anderson-Darling statistic = A2 : 0.73 -p-value of test : 0.53 +Anderson-Darling statistic = A2 : 1.62 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:02:30.87 +CPU time used : 00:03:08.29 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.19 +Kolmogorov-Smirnov+ statistic = D+ : 0.061 +p-value of test : 0.83 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.40 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.51 -Anderson-Darling statistic = A2 : 0.61 -p-value of test : 0.63 +Anderson-Darling statistic = A2 : 0.34 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:01:42.76 +CPU time used : 00:02:12.47 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.60 +Kolmogorov-Smirnov+ statistic = D+ : 0.28 +p-value of test : 0.03 -Kolmogorov-Smirnov- statistic = D- : 0.077 -p-value of test : 0.75 +Kolmogorov-Smirnov- statistic = D- : 0.050 +p-value of test : 0.88 -Anderson-Darling statistic = A2 : 0.22 -p-value of test : 0.99 +Anderson-Darling statistic = A2 : 2.57 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:02:16.45 +CPU time used : 00:02:48.60 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 2.73e-4 -p-value of test : 0.05 +Kolmogorov-Smirnov+ statistic = D+ : 1.18e-4 +p-value of test : 0.57 -Kolmogorov-Smirnov- statistic = D- : 1.47e-4 -p-value of test : 0.42 +Kolmogorov-Smirnov- statistic = D- : 1.40e-4 +p-value of test : 0.46 -Anderson-Darling statistic = A2 : 1.26 -p-value of test : 0.24 +Anderson-Darling statistic = A2 : 0.33 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:00:32.20 +CPU time used : 00:00:40.44 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.75e-4 -p-value of test : 0.30 +Kolmogorov-Smirnov+ statistic = D+ : 2.31e-4 +p-value of test : 0.12 -Kolmogorov-Smirnov- statistic = D- : 2.31e-5 -p-value of test : 0.98 +Kolmogorov-Smirnov- statistic = D- : 5.79e-5 +p-value of test : 0.87 -Anderson-Darling statistic = A2 : 0.91 -p-value of test : 0.41 +Anderson-Darling statistic = A2 : 1.82 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:00:34.62 +CPU time used : 00:00:42.70 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.12 -p-value of test : 0.45 +Normal statistic : 1.46 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:00:33.23 +CPU time used : 00:00:44.45 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 1.73 -p-value of test : 0.04 +Normal statistic : -0.78 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:00:31.48 +CPU time used : 00:00:44.23 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -0.92 -p-value of test : 0.82 +Normal statistic : -1.84 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:01:58.11 +CPU time used : 00:02:27.38 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -1.05 -p-value of test : 0.85 +Normal statistic : -0.072 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:02:04.13 +CPU time used : 00:02:33.04 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 52.88 -p-value of test : 0.90 +Chi-square statistic : 67.60 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:01:21.64 +CPU time used : 00:01:44.39 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 66.77 -p-value of test : 0.48 +Chi-square statistic : 62.63 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:01:40.71 +CPU time used : 00:02:10.72 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 69.57 -p-value of test : 0.39 +Chi-square statistic : 77.60 +p-value of test : 0.18 ----------------------------------------------- -CPU time used : 00:01:34.85 +CPU time used : 00:02:12.00 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 49.58 -p-value of test : 0.08 +Chi-square statistic : 38.60 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:01:20.95 +CPU time used : 00:01:43.30 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 35.03 -p-value of test : 0.56 +Chi-square statistic : 33.57 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:01:34.56 +CPU time used : 00:02:09.82 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 29.34 -p-value of test : 0.81 +Chi-square statistic : 42.57 +p-value of test : 0.24 ----------------------------------------------- -CPU time used : 00:01:37.37 +CPU time used : 00:02:10.81 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 28.85 -p-value of test : 0.47 +Chi-square statistic : 30.16 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:02:48.45 +CPU time used : 00:03:22.73 Generator state: N/A @@ -2327,21 +2327,21 @@ smarsa_MatrixRank test: ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.33 +p-value of test : 0.32 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.51 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.46 -Anderson-Darling statistic = A2 : 0.59 -p-value of test : 0.65 +Anderson-Darling statistic = A2 : 0.66 +p-value of test : 0.59 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 35.84 -p-value of test : 0.66 +Chi-square statistic : 34.93 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:01:24.67 +CPU time used : 00:01:50.43 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.25 -p-value of test : 0.25 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.74 -Kolmogorov-Smirnov- statistic = D- : 0.090 -p-value of test : 0.81 +Kolmogorov-Smirnov- statistic = D- : 0.41 +p-value of test : 0.03 -Anderson-Darling statistic = A2 : 0.59 -p-value of test : 0.65 +Anderson-Darling statistic = A2 : 1.50 +p-value of test : 0.18 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 33.62 -p-value of test : 0.75 +Chi-square statistic : 46.26 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:01:21.06 +CPU time used : 00:01:49.62 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 10.69 -p-value of test : 0.01 +Chi-square statistic : 5.36 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:02:26.95 +CPU time used : 00:03:10.05 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 2.76 -p-value of test : 0.43 +Chi-square statistic : 3.55 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:02:19.72 +CPU time used : 00:03:09.44 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.32 -p-value of test : 0.85 +Chi-square statistic : 0.21 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:01:33.20 +CPU time used : 00:02:12.88 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 5.34 -p-value of test : 0.07 +Chi-square statistic : 5.93 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:01:17.76 +CPU time used : 00:01:47.51 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.23 -p-value of test : 0.32 +Kolmogorov-Smirnov+ statistic = D+ : 0.56 +p-value of test : 8.3e-4 ***** -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.46 +Kolmogorov-Smirnov- statistic = D- : 0.018 +p-value of test : 0.98 -Anderson-Darling statistic = A2 : 0.69 -p-value of test : 0.56 +Anderson-Darling statistic = A2 : 4.00 +p-value of test : 9.1e-3 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 124.85 -p-value of test : 0.61 +Chi-square statistic : 90.93 +p-value of test : 0.9963 ----------------------------------------------- -CPU time used : 00:00:58.92 +CPU time used : 00:01:15.83 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.27 -p-value of test : 0.19 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.65 -Kolmogorov-Smirnov- statistic = D- : 0.10 -p-value of test : 0.75 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.58 -Anderson-Darling statistic = A2 : 0.64 -p-value of test : 0.61 +Anderson-Darling statistic = A2 : 0.38 +p-value of test : 0.86 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17323.57 -p-value of test : 0.71 +Chi-square statistic :17355.83 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:01:53.29 +CPU time used : 00:02:02.41 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 : 28.19 -p-value of test : 0.82 +ChiSquare statistic : 41.60 +p-value of test : 0.24 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 26.23 -p-value of test : 0.86 +ChiSquare statistic : 33.60 +p-value of test : 0.54 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 17.83 -p-value of test : 0.85 +ChiSquare statistic : 31.18 +p-value of test : 0.18 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 30.34 -p-value of test : 0.17 +ChiSquare statistic : 17.55 +p-value of test : 0.82 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 15.27 -p-value of test : 0.58 +ChiSquare statistic : 10.91 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:00:48.52 +CPU time used : 00:01:01.40 Generator state: N/A @@ -2628,44 +2628,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 36 -ChiSquare statistic : 27.83 -p-value of test : 0.83 +ChiSquare statistic : 27.04 +p-value of test : 0.86 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 17.55 -p-value of test : 0.9939 +ChiSquare statistic : 31.10 +p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 16.28 -p-value of test : 0.91 +ChiSquare statistic : 30.52 +p-value of test : 0.21 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 17.80 -p-value of test : 0.81 +ChiSquare statistic : 20.10 +p-value of test : 0.69 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 7.61 -p-value of test : 0.97 +ChiSquare statistic : 5.29 +p-value of test : 0.9968 ----------------------------------------------- -CPU time used : 00:00:47.94 +CPU time used : 00:01:03.00 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 : 140.47 -p-value of test : 0.61 +ChiSquare statistic : 163.39 +p-value of test : 0.15 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 119.56 -p-value of test : 0.95 +ChiSquare statistic : 145.14 +p-value of test : 0.50 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 507.62 -p-value of test : 0.40 +ChiSquare statistic : 478.94 +p-value of test : 0.74 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 159.73 -p-value of test : 0.08 +ChiSquare statistic : 163.98 +p-value of test : 0.05 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 79.13 -p-value of test : 0.32 +ChiSquare statistic : 58.75 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:00:56.62 +CPU time used : 00:01:20.49 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 : 115.69 -p-value of test : 0.97 +ChiSquare statistic : 139.15 +p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 132.27 -p-value of test : 0.79 +ChiSquare statistic : 124.45 +p-value of test : 0.90 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 491.19 -p-value of test : 0.60 +ChiSquare statistic : 490.30 +p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 158.09 -p-value of test : 0.09 +ChiSquare statistic : 156.96 +p-value of test : 0.11 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 63.63 -p-value of test : 0.80 +ChiSquare statistic : 84.84 +p-value of test : 0.18 ----------------------------------------------- -CPU time used : 00:00:56.76 +CPU time used : 00:01:20.88 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 : 360.50 -p-value of test : 0.80 +ChiSquare statistic : 355.37 +p-value of test : 0.85 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 375.84 -p-value of test : 0.61 +ChiSquare statistic : 378.15 +p-value of test : 0.57 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4790.75 -p-value of test : 0.98 +ChiSquare statistic : 5129.43 +p-value of test : 0.10 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 363.59 -p-value of test : 0.69 +ChiSquare statistic : 429.25 +p-value of test : 0.04 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 230.71 -p-value of test : 0.07 +ChiSquare statistic : 182.57 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:00:47.61 +CPU time used : 00:01:07.68 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 : 391.32 -p-value of test : 0.39 +ChiSquare statistic : 334.76 +p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 392.61 -p-value of test : 0.37 +ChiSquare statistic : 375.64 +p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5130.56 -p-value of test : 0.10 +ChiSquare statistic : 5013.63 +p-value of test : 0.44 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 294.19 -p-value of test : 0.9995 ***** +ChiSquare statistic : 393.07 +p-value of test : 0.29 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 182.88 -p-value of test : 0.80 +ChiSquare statistic : 202.89 +p-value of test : 0.43 ----------------------------------------------- -CPU time used : 00:00:48.25 +CPU time used : 00:01:08.56 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 9.61 -p-value of test : 0.65 +Chi2 statistic for size of jumps : 10.82 +p-value of test : 0.54 ----------------------------------------------- -Normal statistic for number of jumps : -402.76 +Normal statistic for number of jumps : -402.06 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:07.87 +CPU time used : 00:00:11.25 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 24.79 -p-value of test : 0.02 +Chi2 statistic for size of jumps : 10.55 +p-value of test : 0.57 ----------------------------------------------- -Normal statistic for number of jumps : -403.01 +Normal statistic for number of jumps : -402.47 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:07.81 +CPU time used : 00:00:11.75 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.31 -p-value of test : 0.12 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.52 -Kolmogorov-Smirnov- statistic = D- : 0.085 -p-value of test : 0.82 +Kolmogorov-Smirnov- statistic = D- : 0.061 +p-value of test : 0.90 -Anderson-Darling statistic = A2 : 0.75 -p-value of test : 0.51 +Anderson-Darling statistic = A2 : 0.38 +p-value of test : 0.87 Tests on the sum of all N observations -Standardized normal statistic : -0.76 -p-value of test : 0.77 +Standardized normal statistic : -0.65 +p-value of test : 0.74 -Sample variance : 0.60 -p-value of test : 0.80 +Sample variance : 0.87 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:00:58.67 +CPU time used : 00:01:12.25 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.43 +Kolmogorov-Smirnov+ statistic = D+ : 0.43 +p-value of test : 0.02 -Kolmogorov-Smirnov- statistic = D- : 0.22 -p-value of test : 0.32 +Kolmogorov-Smirnov- statistic = D- : 0.063 +p-value of test : 0.89 -Anderson-Darling statistic = A2 : 0.57 -p-value of test : 0.67 +Anderson-Darling statistic = A2 : 3.70 +p-value of test : 0.01 Tests on the sum of all N observations -Standardized normal statistic : -0.092 -p-value of test : 0.54 +Standardized normal statistic : -2.26 +p-value of test : 0.99 -Sample variance : 1.51 -p-value of test : 0.14 +Sample variance : 0.72 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:00:57.34 +CPU time used : 00:01:09.18 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 9.06e-3 +Kolmogorov-Smirnov+ statistic = D+ : 9.08e-3 p-value of test : 0.51 -Kolmogorov-Smirnov- statistic = D- : 0.013 -p-value of test : 0.23 +Kolmogorov-Smirnov- statistic = D- : 0.012 +p-value of test : 0.31 -Anderson-Darling statistic = A2 : 0.83 -p-value of test : 0.46 +Anderson-Darling statistic = A2 : 0.62 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:00:47.26 +CPU time used : 00:00:57.43 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.011 -p-value of test : 0.36 +Kolmogorov-Smirnov+ statistic = D+ : 6.12e-3 +p-value of test : 0.73 -Kolmogorov-Smirnov- statistic = D- : 9.13e-3 -p-value of test : 0.50 +Kolmogorov-Smirnov- statistic = D- : 0.014 +p-value of test : 0.22 -Anderson-Darling statistic = A2 : 0.77 -p-value of test : 0.50 +Anderson-Darling statistic = A2 : 1.06 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:00:47.29 +CPU time used : 00:00:56.61 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 3.55 -p-value of test : 0.90 +Chi-square statistic : 4.57 +p-value of test : 0.80 ----------------------------------------------- -Global longest run of 1 : 30.00 -p-value of test : 0.90 +Global longest run of 1 : 35.00 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:01:43.23 +CPU time used : 00:01:55.31 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 15.77 -p-value of test : 0.05 +Chi-square statistic : 6.94 +p-value of test : 0.54 ----------------------------------------------- -Global longest run of 1 : 34.00 -p-value of test : 0.25 +Global longest run of 1 : 33.00 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:01:44.67 +CPU time used : 00:01:56.93 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.23 -p-value of test : 0.31 +Kolmogorov-Smirnov+ statistic = D+ : 0.24 +p-value of test : 0.28 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.58 +Kolmogorov-Smirnov- statistic = D- : 0.093 +p-value of test : 0.79 -Anderson-Darling statistic = A2 : 0.58 -p-value of test : 0.66 +Anderson-Darling statistic = A2 : 0.51 +p-value of test : 0.73 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 196.66 -p-value of test : 0.55 +Chi-square statistic : 184.28 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:02:44.06 +CPU time used : 00:03:27.91 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.35 -p-value of test : 0.06 +Kolmogorov-Smirnov+ statistic = D+ : 0.067 +p-value of test : 0.88 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.52 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.37 -Anderson-Darling statistic = A2 : 1.09 -p-value of test : 0.31 +Anderson-Darling statistic = A2 : 0.29 +p-value of test : 0.94 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 191.15 -p-value of test : 0.66 +Chi-square statistic : 207.13 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:02:43.12 +CPU time used : 00:03:32.47 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.37 +Kolmogorov-Smirnov+ statistic = D+ : 0.048 +p-value of test : 0.93 -Kolmogorov-Smirnov- statistic = D- : 0.25 -p-value of test : 0.25 +Kolmogorov-Smirnov- statistic = D- : 0.34 +p-value of test : 0.08 -Anderson-Darling statistic = A2 : 0.77 -p-value of test : 0.50 +Anderson-Darling statistic = A2 : 1.87 +p-value of test : 0.11 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9940.18 -p-value of test : 0.66 +Chi-square statistic :10237.42 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:01:06.00 +CPU time used : 00:01:18.75 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.060 -p-value of test : 0.90 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.75 -Kolmogorov-Smirnov- statistic = D- : 0.49 -p-value of test : 5.4e-3 +Kolmogorov-Smirnov- statistic = D- : 0.39 +p-value of test : 0.04 -Anderson-Darling statistic = A2 : 3.78 -p-value of test : 0.01 +Anderson-Darling statistic = A2 : 2.13 +p-value of test : 0.08 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10312.44 -p-value of test : 0.01 +Chi-square statistic :10258.43 +p-value of test : 0.03 ----------------------------------------------- -CPU time used : 00:01:07.61 +CPU time used : 00:01:20.29 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.45 -p-value of test : 0.33 +Normal statistic : -0.048 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:01:20.28 +CPU time used : 00:01:33.08 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -1.12 -p-value of test : 0.87 +Normal statistic : -1.58 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:01:15.62 +CPU time used : 00:01:28.00 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.34 -p-value of test : 0.37 +Normal statistic : -1.01 +p-value of test : 0.84 ----------------------------------------------- -CPU time used : 00:05:03.70 +CPU time used : 00:05:47.02 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.40 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.69 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.41 +Kolmogorov-Smirnov- statistic = D- : 0.24 +p-value of test : 0.28 -Anderson-Darling statistic = A2 : 0.75 -p-value of test : 0.52 +Anderson-Darling statistic = A2 : 0.66 +p-value of test : 0.59 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4852.64 -p-value of test : 0.65 +Chi-square statistic : 4957.46 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:02:09.63 +CPU time used : 00:02:33.70 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.28 -p-value of test : 0.17 +Kolmogorov-Smirnov+ statistic = D+ : 0.073 +p-value of test : 0.86 -Kolmogorov-Smirnov- statistic = D- : 0.099 -p-value of test : 0.77 +Kolmogorov-Smirnov- statistic = D- : 0.23 +p-value of test : 0.31 -Anderson-Darling statistic = A2 : 0.68 -p-value of test : 0.57 +Anderson-Darling statistic = A2 : 0.46 +p-value of test : 0.79 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4829.38 -p-value of test : 0.73 +Chi-square statistic : 4950.63 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:02:13.30 +CPU time used : 00:02:38.41 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 : 3973.04 -p-value of test : 0.94 +Chi-square statistic : 4136.78 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:01:33.39 +CPU time used : 00:01:53.11 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 : 3928.71 -p-value of test : 0.98 +Chi-square statistic : 4220.03 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:01:40.52 +CPU time used : 00:01:57.09 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 :11948.10 -p-value of test : 0.21 +Chi-square statistic :11940.60 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:01:46.40 +CPU time used : 00:02:04.40 Generator state
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