http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/src/site/resources/txt/userguide/stress/tu/run_1/tu_7 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_1/tu_7 b/src/site/resources/txt/userguide/stress/tu/run_1/tu_7 index 81573d0..b81f5e9 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_1/tu_7 +++ b/src/site/resources/txt/userguide/stress/tu/run_1/tu_7 @@ -1,5 +1,5 @@ # -# RNG: org.apache.commons.math4.rng.internal.source32.Well44497a +# RNG: org.apache.commons.rng.internal.source32.Well44497a # # 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 : 0.84 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:02:20.71 +CPU time used : 00:02:23.06 Generator state: N/A @@ -81,11 +81,11 @@ Test Results for Delta = 1.0000 Number of degrees of freedom : 16711680 Value of the statistic : 1.67e+7 -p-value of test : 0.16 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:02:00.30 +CPU time used : 00:02:35.50 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 : 1360 -p-value of test : 0.54 +Observed number of collisions : 1371 +p-value of test : 0.43 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334480 - j = 1 : 599997280 - j = 2 : 1360 + j = 0 : 131940795334491 + j = 1 : 599997258 + j = 2 : 1371 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:17.19 +CPU time used : 00:05:15.05 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 : 1344 -p-value of test : 0.70 +Observed number of collisions : 1405 +p-value of test : 0.14 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334464 - j = 1 : 599997312 - j = 2 : 1344 + j = 0 : 131940795334525 + j = 1 : 599997190 + j = 2 : 1405 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:17.88 +CPU time used : 00:05:43.02 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 : 1379 -p-value of test : 0.35 +Observed number of collisions : 1373 +p-value of test : 0.41 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334499 - j = 1 : 599997242 - j = 2 : 1379 + j = 0 : 131940795334493 + j = 1 : 599997254 + j = 2 : 1373 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:23.31 +CPU time used : 00:08:58.08 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 : 1414 -p-value of test : 0.09 +Observed number of collisions : 1365 +p-value of test : 0.50 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334534 - j = 1 : 599997172 - j = 2 : 1414 + j = 0 : 131940795334485 + j = 1 : 599997270 + j = 2 : 1365 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:58.24 +CPU time used : 00:09:37.13 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 : 1402 -p-value of test : 0.16 +Observed number of collisions : 1364 +p-value of test : 0.50 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334522 - j = 1 : 599997196 - j = 2 : 1402 + j = 0 : 131940795334484 + j = 1 : 599997272 + j = 2 : 1364 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:58.96 +CPU time used : 00:09:30.96 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 : 1345 -p-value of test : 0.69 +Observed number of collisions : 1355 +p-value of test : 0.59 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334465 - j = 1 : 599997310 - j = 2 : 1345 + j = 0 : 131940795334475 + j = 1 : 599997290 + j = 2 : 1355 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:12.05 +CPU time used : 00:09:04.82 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 : 1341 -p-value of test : 0.73 +Observed number of collisions : 1334 +p-value of test : 0.79 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334461 - j = 1 : 599997318 - j = 2 : 1341 + j = 0 : 131940795334454 + j = 1 : 599997332 + j = 2 : 1334 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:09.23 +CPU time used : 00:08:34.21 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 : 1347 -p-value of test : 0.67 +Observed number of collisions : 1419 +p-value of test : 0.07 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334467 - j = 1 : 599997306 - j = 2 : 1347 + j = 0 : 131940795334539 + j = 1 : 599997162 + j = 2 : 1419 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:54.26 +CPU time used : 00:09:46.26 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 : 1364 -p-value of test : 0.50 +Observed number of collisions : 1366 +p-value of test : 0.48 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334484 - j = 1 : 599997272 - j = 2 : 1364 + j = 0 : 131940795334486 + j = 1 : 599997268 + j = 2 : 1366 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:25.76 +CPU time used : 00:10:22.42 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 : 1408 -p-value of test : 0.12 +Observed number of collisions : 1405 +p-value of test : 0.14 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334528 - j = 1 : 599997184 - j = 2 : 1408 + j = 0 : 131940795334525 + j = 1 : 599997190 + j = 2 : 1405 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:01.98 +CPU time used : 00:09:28.50 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5393 -p-value of test : 0.64 +Total observed number : 5322 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:04:24.26 +CPU time used : 00:05:39.57 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4350 -p-value of test : 0.42 +Total observed number : 4381 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:01:55.43 +CPU time used : 00:02:30.46 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7246 -p-value of test : 0.80 +Total observed number : 7344 +p-value of test : 0.38 ----------------------------------------------- -CPU time used : 00:03:13.35 +CPU time used : 00:04:14.64 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4438 -p-value of test : 0.06 +Total observed number : 4390 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:02:24.84 +CPU time used : 00:03:07.69 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4382 -p-value of test : 0.25 +Total observed number : 4292 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:02:30.31 +CPU time used : 00:03:19.85 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7422 -p-value of test : 0.11 +Total observed number : 7390 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:03:56.55 +CPU time used : 00:05:23.06 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7374 -p-value of test : 0.26 +Total observed number : 7311 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:03:59.86 +CPU time used : 00:05:21.63 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7249 -p-value of test : 0.79 +Total observed number : 7320 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:05:06.40 +CPU time used : 00:06:58.06 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7280 -p-value of test : 0.67 +Total observed number : 7304 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:05:28.48 +CPU time used : 00:07:39.52 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) : 0.47 -p-value of test : 0.78 +Stat. AD on the N values (NP) : 1.12 +p-value of test : 0.30 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) : 0.71 -p-value of test : 0.55 +A2 test on the values of A2 (m-NP) : 0.88 +p-value of test : 0.43 -Test on the Nm values of W_{n,i}(mNP1): 0.56 -p-value of test : 0.69 +Test on the Nm values of W_{n,i}(mNP1): 1.51 +p-value of test : 0.18 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 916 -p-value of test : 0.30 +Number of jumps of Y : 891 +p-value of test : 0.61 -Stat. AD (mNP2) : 0.59 -p-value of test : 0.65 +Stat. AD (mNP2) : 1.76 +p-value of test : 0.13 -Stat. AD after spacings (mNP2-S) : 0.87 -p-value of test : 0.43 +Stat. AD after spacings (mNP2-S) : 1.32 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:03:21.72 +CPU time used : 00:04:43.48 Generator state: N/A @@ -935,34 +935,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 1.67 -p-value of test : 0.14 +Stat. AD on the N values (NP) : 0.81 +p-value of test : 0.47 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) : 0.38 -p-value of test : 0.86 +A2 test on the values of A2 (m-NP) : 1.97 +p-value of test : 0.10 -Test on the Nm values of W_{n,i}(mNP1): 3.61 -p-value of test : 0.01 +Test on the Nm values of W_{n,i}(mNP1): 0.38 +p-value of test : 0.87 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 676 -p-value of test : 1.2e-3 +Number of jumps of Y : 599 +p-value of test : 0.51 -Stat. AD (mNP2) : 0.94 -p-value of test : 0.39 +Stat. AD (mNP2) : 1.72 +p-value of test : 0.13 -Stat. AD after spacings (mNP2-S) : 0.83 -p-value of test : 0.46 +Stat. AD after spacings (mNP2-S) : 0.32 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:02:05.27 +CPU time used : 00:03:07.95 Generator state: N/A @@ -983,34 +983,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.36 -p-value of test : 0.88 +Stat. AD on the N values (NP) : 1.04 +p-value of test : 0.34 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) : 2.56 +p-value of test : 0.05 -Test on the Nm values of W_{n,i}(mNP1): 0.97 -p-value of test : 0.37 +Test on the Nm values of W_{n,i}(mNP1): 0.29 +p-value of test : 0.94 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 284 -p-value of test : 0.81 +Number of jumps of Y : 309 +p-value of test : 0.31 -Stat. AD (mNP2) : 0.73 -p-value of test : 0.54 +Stat. AD (mNP2) : 0.75 +p-value of test : 0.52 -Stat. AD after spacings (mNP2-S) : 0.46 -p-value of test : 0.78 +Stat. AD after spacings (mNP2-S) : 1.17 +p-value of test : 0.28 ----------------------------------------------- -CPU time used : 00:03:02.11 +CPU time used : 00:04:27.22 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) : 0.45 -p-value of test : 0.79 +Stat. AD on the N values (NP) : 0.67 +p-value of test : 0.58 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) : 1.70 -p-value of test : 0.14 +A2 test on the values of A2 (m-NP) : 1.55 +p-value of test : 0.17 -Test on the Nm values of W_{n,i}(mNP1): 1.20 -p-value of test : 0.27 +Test on the Nm values of W_{n,i}(mNP1): 0.90 +p-value of test : 0.41 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 132 -p-value of test : 0.93 +Number of jumps of Y : 158 +p-value of test : 0.27 -Stat. AD (mNP2) : 0.28 -p-value of test : 0.95 +Stat. AD (mNP2) : 0.65 +p-value of test : 0.60 -Stat. AD after spacings (mNP2-S) : 0.50 -p-value of test : 0.75 +Stat. AD after spacings (mNP2-S) : 3.88 +p-value of test : 0.01 ----------------------------------------------- -CPU time used : 00:03:25.93 +CPU time used : 00:04:13.25 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 11.13 -p-value of test : 0.13 +Chi-square statistic : 7.77 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:01:14.10 +CPU time used : 00:01:44.13 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 4.19 -p-value of test : 0.76 +Chi-square statistic : 6.22 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:01:28.36 +CPU time used : 00:02:01.06 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 9.17 -p-value of test : 0.96 +Chi-square statistic : 30.11 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:01:18.23 +CPU time used : 00:01:39.70 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 14.62 -p-value of test : 0.69 +Chi-square statistic : 27.61 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:01:29.56 +CPU time used : 00:01:56.72 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 47.66 -p-value of test : 0.72 +Chi-square statistic : 44.72 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:01:37.96 +CPU time used : 00:02:09.68 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 71.86 -p-value of test : 0.05 +Chi-square statistic : 62.41 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:01:52.22 +CPU time used : 00:02:29.03 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 61.49 -p-value of test : 0.23 +Chi-square statistic : 43.11 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:01:53.17 +CPU time used : 00:02:26.73 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 51.37 -p-value of test : 0.58 +Chi-square statistic : 47.42 +p-value of test : 0.72 ----------------------------------------------- -CPU time used : 00:01:48.14 +CPU time used : 00:02:22.27 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 235.27 -p-value of test : 0.43 +Chi-square statistic : 240.19 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:02:03.14 +CPU time used : 00:02:40.64 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 459.22 -p-value of test : 0.19 +Chi-square statistic : 455.58 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:02:55.89 +CPU time used : 00:03:55.70 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1462.49 +Chi-square statistic : 1462.32 p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:03:00.31 +CPU time used : 00:04:03.97 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7002.64 -p-value of test : 0.64 +Chi-square statistic : 7061.77 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:03:09.22 +CPU time used : 00:04:05.96 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.34 -p-value of test : 0.26 +Kolmogorov-Smirnov+ statistic = D+ : 0.32 +p-value of test : 0.29 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.55 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.58 -Anderson-Darling statistic = A2 : 0.61 -p-value of test : 0.63 +Anderson-Darling statistic = A2 : 0.46 +p-value of test : 0.78 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 24.98 -p-value of test : 0.73 +Chi-square statistic : 27.30 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:01:44.82 +CPU time used : 00:02:03.42 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.10 -p-value of test : 0.76 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.53 -Kolmogorov-Smirnov- statistic = D- : 0.38 -p-value of test : 0.04 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.59 -Anderson-Darling statistic = A2 : 2.77 -p-value of test : 0.04 +Anderson-Darling statistic = A2 : 0.40 +p-value of test : 0.84 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 89.23 -p-value of test : 8.5e-3 +Chi-square statistic : 60.52 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:04:06.35 +CPU time used : 00:04:59.61 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 : 1.16 -p-value of test : 0.95 +Value of the statistic : 7.24 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:01:07.61 +CPU time used : 00:01:31.54 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 : 107.71 -p-value of test : 0.76 +Value of the statistic : 143.15 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:01:57.85 +CPU time used : 00:02:37.05 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 : 5076.36 -p-value of test : 0.35 +Value of the statistic : 4907.01 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:01:31.81 +CPU time used : 00:01:59.05 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 : 0.49 +p-value of test : 0.47 ----------------------------------------------- -CPU time used : 00:03:04.51 +CPU time used : 00:03:51.73 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 : 45918 -p-value of test : 0.43 +Observed number of collisions : 45889 +p-value of test : 0.48 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869918 - j = 1 : 399908170 - j = 2 : 45906 + j = 0 : 1743165869889 + j = 1 : 399908228 + j = 2 : 45877 j = 3 : 6 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:22.40 +CPU time used : 00:05:42.86 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 : 45407 -p-value of test : 0.99 +Observed number of collisions : 46140 +p-value of test : 0.11 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869407 - j = 1 : 399909188 - j = 2 : 45403 - j = 3 : 2 + j = 0 : 1743165870140 + j = 1 : 399907724 + j = 2 : 46132 + j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:37.18 +CPU time used : 00:06:00.96 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.014 -p-value of test : 0.98 +Kolmogorov-Smirnov+ statistic = D+ : 0.052 +p-value of test : 0.78 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.33 +Kolmogorov-Smirnov- statistic = D- : 0.080 +p-value of test : 0.57 -Anderson-Darling statistic = A2 : 0.75 -p-value of test : 0.52 +Anderson-Darling statistic = A2 : 0.30 +p-value of test : 0.94 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.12 +p-value of test : 0.25 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.053 -p-value of test : 0.77 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.12 -Kolmogorov-Smirnov- statistic = D- : 0.076 -p-value of test : 0.60 +Kolmogorov-Smirnov- statistic = D- : 0.066 +p-value of test : 0.68 -Anderson-Darling statistic = A2 : 0.38 -p-value of test : 0.87 +Anderson-Darling statistic = A2 : 0.83 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:03:21.31 +CPU time used : 00:04:17.27 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.012 -p-value of test : 0.98 +Kolmogorov-Smirnov+ statistic = D+ : 0.076 +p-value of test : 0.67 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.14 +Kolmogorov-Smirnov- statistic = D- : 0.079 +p-value of test : 0.65 -Anderson-Darling statistic = A2 : 1.14 -p-value of test : 0.29 +Anderson-Darling statistic = A2 : 0.23 +p-value of test : 0.98 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.08 +p-value of test : 0.50 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.41 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.25 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.44 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.32 -Anderson-Darling statistic = A2 : 0.42 -p-value of test : 0.83 +Anderson-Darling statistic = A2 : 0.83 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:03:07.93 +CPU time used : 00:03:59.45 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.13 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.36 -Kolmogorov-Smirnov- statistic = D- : 0.057 -p-value of test : 0.85 +Kolmogorov-Smirnov- statistic = D- : 0.084 +p-value of test : 0.72 -Anderson-Darling statistic = A2 : 1.05 -p-value of test : 0.33 +Anderson-Darling statistic = A2 : 0.88 +p-value of test : 0.42 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.77 +p-value of test : 0.68 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.53 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.21 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.52 +Kolmogorov-Smirnov- statistic = D- : 0.062 +p-value of test : 0.82 -Anderson-Darling statistic = A2 : 0.41 -p-value of test : 0.84 +Anderson-Darling statistic = A2 : 0.90 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:02:28.26 +CPU time used : 00:03:12.53 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.39 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.25 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.24 +Kolmogorov-Smirnov- statistic = D- : 0.100 +p-value of test : 0.63 -Anderson-Darling statistic = A2 : 0.94 -p-value of test : 0.39 +Anderson-Darling statistic = A2 : 1.57 +p-value of test : 0.16 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.34 +p-value of test : 0.83 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.098 -p-value of test : 0.64 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.30 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.34 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.46 -Anderson-Darling statistic = A2 : 0.52 -p-value of test : 0.72 +Anderson-Darling statistic = A2 : 0.74 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:02:53.01 +CPU time used : 00:03:39.10 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.084 -p-value of test : 0.54 +Kolmogorov-Smirnov+ statistic = D+ : 0.055 +p-value of test : 0.75 -Kolmogorov-Smirnov- statistic = D- : 0.072 -p-value of test : 0.63 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.17 -Anderson-Darling statistic = A2 : 0.51 -p-value of test : 0.73 +Anderson-Darling statistic = A2 : 0.79 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:02:25.89 +CPU time used : 00:03:06.17 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.40 +Kolmogorov-Smirnov+ statistic = D+ : 0.088 +p-value of test : 0.69 -Kolmogorov-Smirnov- statistic = D- : 0.048 -p-value of test : 0.88 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.42 -Anderson-Darling statistic = A2 : 0.43 -p-value of test : 0.81 +Anderson-Darling statistic = A2 : 0.62 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:01:42.12 +CPU time used : 00:02:12.54 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.18 +Kolmogorov-Smirnov+ statistic = D+ : 0.088 +p-value of test : 0.69 -Kolmogorov-Smirnov- statistic = D- : 0.085 -p-value of test : 0.71 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.53 -Anderson-Darling statistic = A2 : 1.01 -p-value of test : 0.35 +Anderson-Darling statistic = A2 : 0.46 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:02:16.48 +CPU time used : 00:02:50.27 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 7.87e-5 -p-value of test : 0.78 +Kolmogorov-Smirnov+ statistic = D+ : 5.81e-5 +p-value of test : 0.87 -Kolmogorov-Smirnov- statistic = D- : 2.94e-4 -p-value of test : 0.03 +Kolmogorov-Smirnov- statistic = D- : 3.20e-4 +p-value of test : 0.02 -Anderson-Darling statistic = A2 : 2.25 -p-value of test : 0.07 +Anderson-Darling statistic = A2 : 2.76 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:00:32.35 +CPU time used : 00:00:41.56 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 2.94e-4 -p-value of test : 0.03 +Kolmogorov-Smirnov+ statistic = D+ : 1.71e-4 +p-value of test : 0.31 -Kolmogorov-Smirnov- statistic = D- : 8.14e-5 -p-value of test : 0.77 +Kolmogorov-Smirnov- statistic = D- : 5.32e-5 +p-value of test : 0.89 -Anderson-Darling statistic = A2 : 2.24 -p-value of test : 0.07 +Anderson-Darling statistic = A2 : 0.61 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:00:35.03 +CPU time used : 00:00:43.93 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -1.42 -p-value of test : 0.92 +Normal statistic : -0.41 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:00:33.25 +CPU time used : 00:00:44.01 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.021 -p-value of test : 0.49 +Normal statistic : 0.10 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:00:34.94 +CPU time used : 00:00:44.39 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -0.12 -p-value of test : 0.55 +Normal statistic : 1.61 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:01:57.86 +CPU time used : 00:02:30.18 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -2.07 -p-value of test : 0.98 +Normal statistic : 0.79 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:01:58.96 +CPU time used : 00:02:35.90 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 68.55 -p-value of test : 0.42 +Chi-square statistic : 67.53 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:01:24.14 +CPU time used : 00:01:44.56 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 75.27 -p-value of test : 0.23 +Chi-square statistic : 66.78 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:01:38.36 +CPU time used : 00:02:09.69 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 50.42 -p-value of test : 0.93 +Chi-square statistic : 69.15 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:01:36.70 +CPU time used : 00:02:11.26 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 32.02 -p-value of test : 0.70 +Chi-square statistic : 39.28 +p-value of test : 0.37 ----------------------------------------------- -CPU time used : 00:01:21.29 +CPU time used : 00:01:42.98 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 29.81 -p-value of test : 0.79 +Chi-square statistic : 42.32 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:01:33.09 +CPU time used : 00:02:08.89 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 31.37 -p-value of test : 0.73 +Chi-square statistic : 37.59 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:01:35.21 +CPU time used : 00:02:10.18 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 22.20 -p-value of test : 0.81 +Chi-square statistic : 22.67 +p-value of test : 0.79 ----------------------------------------------- -CPU time used : 00:02:44.03 +CPU time used : 00:03:24.30 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.63 +Kolmogorov-Smirnov+ statistic = D+ : 2.59e-4 +p-value of test : 0.9997 ***** -Kolmogorov-Smirnov- statistic = D- : 0.24 -p-value of test : 0.28 +Kolmogorov-Smirnov- statistic = D- : 0.27 +p-value of test : 0.19 -Anderson-Darling statistic = A2 : 0.67 -p-value of test : 0.58 +Anderson-Darling statistic = A2 : 1.70 +p-value of test : 0.14 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 40.39 -p-value of test : 0.45 +Chi-square statistic : 63.09 +p-value of test : 0.01 ----------------------------------------------- -CPU time used : 00:01:28.54 +CPU time used : 00:01:52.59 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.098 -p-value of test : 0.77 +Kolmogorov-Smirnov+ statistic = D+ : 0.066 +p-value of test : 0.88 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.55 +Kolmogorov-Smirnov- statistic = D- : 0.24 +p-value of test : 0.27 -Anderson-Darling statistic = A2 : 0.37 -p-value of test : 0.87 +Anderson-Darling statistic = A2 : 0.65 +p-value of test : 0.60 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 45.28 -p-value of test : 0.26 +Chi-square statistic : 45.50 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:01:22.56 +CPU time used : 00:01:52.67 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 4.70 -p-value of test : 0.19 +Chi-square statistic : 1.59 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:02:23.81 +CPU time used : 00:03:10.79 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 5.36 -p-value of test : 0.15 +Chi-square statistic : 4.72 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:02:12.27 +CPU time used : 00:03:09.55 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.58 -p-value of test : 0.75 +Chi-square statistic : 14.27 +p-value of test : 8.0e-4 ***** ----------------------------------------------- -CPU time used : 00:01:32.29 +CPU time used : 00:02:12.92 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.075 -p-value of test : 0.96 +Chi-square statistic : 1.63 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:01:18.03 +CPU time used : 00:01:47.75 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.34 -p-value of test : 0.08 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.65 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.61 +Kolmogorov-Smirnov- statistic = D- : 0.28 +p-value of test : 0.16 -Anderson-Darling statistic = A2 : 1.34 -p-value of test : 0.22 +Anderson-Darling statistic = A2 : 1.10 +p-value of test : 0.31 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 127.63 -p-value of test : 0.54 +Chi-square statistic : 138.92 +p-value of test : 0.28 ----------------------------------------------- -CPU time used : 00:01:00.90 +CPU time used : 00:01:15.25 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.051 -p-value of test : 0.92 +Kolmogorov-Smirnov+ statistic = D+ : 0.038 +p-value of test : 0.95 -Kolmogorov-Smirnov- statistic = D- : 0.47 -p-value of test : 7.1e-3 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.39 -Anderson-Darling statistic = A2 : 2.89 -p-value of test : 0.03 +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 : 17430 -Chi-square statistic :17802.22 -p-value of test : 0.02 +Chi-square statistic :17599.69 +p-value of test : 0.18 ----------------------------------------------- -CPU time used : 00:01:53.03 +CPU time used : 00:02:02.56 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 : 41.68 -p-value of test : 0.24 +ChiSquare statistic : 31.47 +p-value of test : 0.68 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 33.82 -p-value of test : 0.52 +ChiSquare statistic : 39.08 +p-value of test : 0.29 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 22.03 -p-value of test : 0.63 +ChiSquare statistic : 14.37 +p-value of test : 0.95 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 21.48 -p-value of test : 0.61 +ChiSquare statistic : 19.08 +p-value of test : 0.75 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 23.70 -p-value of test : 0.13 +ChiSquare statistic : 11.49 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:00:51.15 +CPU time used : 00:01:03.15 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 : 46.96 -p-value of test : 0.10 +ChiSquare statistic : 33.86 +p-value of test : 0.57 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 51.92 -p-value of test : 0.03 +ChiSquare statistic : 40.67 +p-value of test : 0.23 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 23.85 -p-value of test : 0.53 +ChiSquare statistic : 33.76 +p-value of test : 0.11 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 15.80 -p-value of test : 0.89 +ChiSquare statistic : 24.87 +p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 26.79 -p-value of test : 0.06 +ChiSquare statistic : 7.44 +p-value of test : 0.98 ----------------------------------------------- -CPU time used : 00:00:50.35 +CPU time used : 00:01:03.15 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 : 131.60 -p-value of test : 0.80 +ChiSquare statistic : 153.20 +p-value of test : 0.33 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 142.49 -p-value of test : 0.57 +ChiSquare statistic : 136.91 +p-value of test : 0.69 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 482.51 -p-value of test : 0.70 +ChiSquare statistic : 496.72 +p-value of test : 0.53 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 149.59 -p-value of test : 0.20 +ChiSquare statistic : 168.97 +p-value of test : 0.03 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 66.23 -p-value of test : 0.73 +ChiSquare statistic : 87.16 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:00:57.05 +CPU time used : 00:01:20.99 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 : 133.88 -p-value of test : 0.76 +ChiSquare statistic : 142.00 +p-value of test : 0.58 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 166.02 -p-value of test : 0.12 +ChiSquare statistic : 146.98 +p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 474.51 -p-value of test : 0.79 +ChiSquare statistic : 506.93 +p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 121.47 -p-value of test : 0.81 +ChiSquare statistic : 129.57 +p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 110.83 -p-value of test : 3.6e-3 +ChiSquare statistic : 75.05 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:00:57.48 +CPU time used : 00:01:21.83 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 : 353.26 -p-value of test : 0.87 +ChiSquare statistic : 373.26 +p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 365.40 -p-value of test : 0.74 +ChiSquare statistic : 433.44 +p-value of test : 0.04 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4905.45 +ChiSquare statistic : 4904.54 p-value of test : 0.83 @@ -2832,20 +2832,20 @@ p-value of test : 0.83 Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 410.15 -p-value of test : 0.12 +ChiSquare statistic : 344.31 +p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 220.82 -p-value of test : 0.15 +ChiSquare statistic : 226.43 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:00:47.17 +CPU time used : 00:01:08.25 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 : 408.50 -p-value of test : 0.19 +ChiSquare statistic : 405.00 +p-value of test : 0.22 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 387.22 -p-value of test : 0.44 +ChiSquare statistic : 352.53 +p-value of test : 0.87 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5245.83 -p-value of test : 7.6e-3 +ChiSquare statistic : 4980.72 +p-value of test : 0.57 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 319.40 -p-value of test : 0.99 +ChiSquare statistic : 331.58 +p-value of test : 0.96 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 183.15 -p-value of test : 0.80 +ChiSquare statistic : 204.30 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:00:48.71 +CPU time used : 00:01:08.93 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 10.85 -p-value of test : 0.54 +Chi2 statistic for size of jumps : 17.69 +p-value of test : 0.13 ----------------------------------------------- -Normal statistic for number of jumps : -347.61 +Normal statistic for number of jumps : -347.84 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:19.65 +CPU time used : 00:00:27.72 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 9.73 -p-value of test : 0.64 +Chi2 statistic for size of jumps : 9.02 +p-value of test : 0.70 ----------------------------------------------- -Normal statistic for number of jumps : -348.16 +Normal statistic for number of jumps : -347.74 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:19.46 +CPU time used : 00:00:27.74 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.32 -p-value of test : 0.10 +Kolmogorov-Smirnov+ statistic = D+ : 0.51 +p-value of test : 3.1e-3 -Kolmogorov-Smirnov- statistic = D- : 0.096 -p-value of test : 0.78 +Kolmogorov-Smirnov- statistic = D- : 0.048 +p-value of test : 0.93 -Anderson-Darling statistic = A2 : 2.39 -p-value of test : 0.06 +Anderson-Darling statistic = A2 : 3.93 +p-value of test : 9.9e-3 Tests on the sum of all N observations -Standardized normal statistic : -1.48 -p-value of test : 0.93 +Standardized normal statistic : -2.40 +p-value of test : 0.9917 -Sample variance : 1.90 -p-value of test : 0.05 +Sample variance : 0.47 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:00:55.88 +CPU time used : 00:01:12.99 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.27 -p-value of test : 0.19 +Kolmogorov-Smirnov+ statistic = D+ : 0.070 +p-value of test : 0.87 -Kolmogorov-Smirnov- statistic = D- : 0.093 -p-value of test : 0.79 +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.23 -Anderson-Darling statistic = A2 : 0.93 -p-value of test : 0.40 +Anderson-Darling statistic = A2 : 0.80 +p-value of test : 0.48 Tests on the sum of all N observations -Standardized normal statistic : -0.94 -p-value of test : 0.83 +Standardized normal statistic : 0.97 +p-value of test : 0.17 -Sample variance : 0.53 -p-value of test : 0.86 +Sample variance : 0.93 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:01:01.32 +CPU time used : 00:01:13.68 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.014 -p-value of test : 0.22 +Kolmogorov-Smirnov+ statistic = D+ : 0.011 +p-value of test : 0.37 -Kolmogorov-Smirnov- statistic = D- : 4.64e-3 -p-value of test : 0.84 +Kolmogorov-Smirnov- statistic = D- : 6.89e-3 +p-value of test : 0.68 -Anderson-Darling statistic = A2 : 1.08 -p-value of test : 0.32 +Anderson-Darling statistic = A2 : 0.47 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:00:47.98 +CPU time used : 00:00:57.65 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 9.25e-3 -p-value of test : 0.49 +Kolmogorov-Smirnov+ statistic = D+ : 0.013 +p-value of test : 0.25 -Kolmogorov-Smirnov- statistic = D- : 7.01e-3 -p-value of test : 0.67 +Kolmogorov-Smirnov- statistic = D- : 9.75e-3 +p-value of test : 0.46 -Anderson-Darling statistic = A2 : 0.44 -p-value of test : 0.80 +Anderson-Darling statistic = A2 : 1.17 +p-value of test : 0.28 ----------------------------------------------- -CPU time used : 00:00:47.06 +CPU time used : 00:00:56.18 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 11.37 -p-value of test : 0.18 +Chi-square statistic : 7.62 +p-value of test : 0.47 ----------------------------------------------- -Global longest run of 1 : 31.00 -p-value of test : 0.69 +Global longest run of 1 : 32.00 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:01:41.96 +CPU time used : 00:01:54.56 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 6.13 -p-value of test : 0.63 +Chi-square statistic : 9.84 +p-value of test : 0.28 ----------------------------------------------- -Global longest run of 1 : 31.00 -p-value of test : 0.69 +Global longest run of 1 : 33.00 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:01:44.06 +CPU time used : 00:01:56.25 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.60 +Kolmogorov-Smirnov+ statistic = D+ : 0.26 +p-value of test : 0.21 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.57 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.52 -Anderson-Darling statistic = A2 : 0.26 -p-value of test : 0.97 +Anderson-Darling statistic = A2 : 0.61 +p-value of test : 0.64 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 193.61 -p-value of test : 0.61 +Chi-square statistic : 198.54 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:02:48.15 +CPU time used : 00:03:28.29 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.65 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.61 -Kolmogorov-Smirnov- statistic = D- : 0.26 -p-value of test : 0.23 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.51 -Anderson-Darling statistic = A2 : 0.94 -p-value of test : 0.38 +Anderson-Darling statistic = A2 : 0.36 +p-value of test : 0.89 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 224.51 -p-value of test : 0.11 +Chi-square statistic : 199.75 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:02:46.94 +CPU time used : 00:03:32.74 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.46 +Kolmogorov-Smirnov+ statistic = D+ : 0.082 +p-value of test : 0.83 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.46 +Kolmogorov-Smirnov- statistic = D- : 0.29 +p-value of test : 0.16 -Anderson-Darling statistic = A2 : 0.65 -p-value of test : 0.60 +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 : 10000 -Chi-square statistic : 9935.01 -p-value of test : 0.68 +Chi-square statistic :10116.91 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:01:05.20 +CPU time used : 00:01:17.84 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.076 -p-value of test : 0.85 +Kolmogorov-Smirnov+ statistic = D+ : 0.33 +p-value of test : 0.09 -Kolmogorov-Smirnov- statistic = D- : 0.22 -p-value of test : 0.34 +Kolmogorov-Smirnov- statistic = D- : 0.078 +p-value of test : 0.85 -Anderson-Darling statistic = A2 : 0.57 -p-value of test : 0.67 +Anderson-Darling statistic = A2 : 1.96 +p-value of test : 0.10 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10095.73 -p-value of test : 0.25 +Chi-square statistic : 9783.28 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:01:09.43 +CPU time used : 00:01:20.40 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 1.17 -p-value of test : 0.12 +Normal statistic : 1.79 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:01:20.61 +CPU time used : 00:01:33.86 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.057 -p-value of test : 0.52 +Normal statistic : 2.41 +p-value of test : 8.0e-3 ----------------------------------------------- -CPU time used : 00:01:17.48 +CPU time used : 00:01:28.97 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.016 -p-value of test : 0.51 +Normal statistic : -0.14 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:05:07.69 +CPU time used : 00:05:51.41 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.090 -p-value of test : 0.80 +Kolmogorov-Smirnov+ statistic = D+ : 0.32 +p-value of test : 0.10 -Kolmogorov-Smirnov- statistic = D- : 0.42 -p-value of test : 0.02 +Kolmogorov-Smirnov- statistic = D- : 0.034 +p-value of test : 0.95 -Anderson-Darling statistic = A2 : 1.52 -p-value of test : 0.17 +Anderson-Darling statistic = A2 : 1.65 +p-value of test : 0.15 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4996.60 -p-value of test : 0.14 +Chi-square statistic : 4724.90 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:02:07.59 +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+ : 0.15 -p-value of test : 0.59 +Kolmogorov-Smirnov+ statistic = D+ : 0.083 +p-value of test : 0.83 -Kolmogorov-Smirnov- statistic = D- : 0.24 -p-value of test : 0.28 +Kolmogorov-Smirnov- statistic = D- : 0.32 +p-value of test : 0.10 -Anderson-Darling statistic = A2 : 0.73 -p-value of test : 0.53 +Anderson-Darling statistic = A2 : 1.61 +p-value of test : 0.15 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4939.53 -p-value of test : 0.31 +Chi-square statistic : 5041.98 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:02:12.13 +CPU time used : 00:02:37.31 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 : 4106.04 -p-value of test : 0.55 +Chi-square statistic : 4148.62 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:01:36.04 +CPU time used : 00:01:52.18 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 : 4044.42 -p-value of test : 0.79 +Chi-square statistic : 4147.96 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:01:39.18 +CPU time used : 00:01:55.29 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 :11704.68 -p-value of test : 0.78 +Chi-square statistic :11740.26 +p-value of test : 0.71 ----------------------------------------------- -CPU time used : 00:01:45.36 +CPU time used : 00:02:02.88 Generator state: N/A @@ -3549,11 +3549,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10
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