http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/src/site/resources/txt/userguide/stress/tu/run_1/tu_4 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_1/tu_4 b/src/site/resources/txt/userguide/stress/tu/run_1/tu_4 index 5ac1aae..4d86068 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_1/tu_4 +++ b/src/site/resources/txt/userguide/stress/tu/run_1/tu_4 @@ -1,5 +1,5 @@ # -# RNG: org.apache.commons.math4.rng.internal.source32.Well1024a +# RNG: org.apache.commons.rng.internal.source32.Well1024a # # 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 : 0.14 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:02:15.65 +CPU time used : 00:02:19.22 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 : 0.43 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:01:39.24 +CPU time used : 00:02:36.35 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 : 1420 -p-value of test : 0.07 +Observed number of collisions : 1352 +p-value of test : 0.62 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334540 - j = 1 : 599997160 - j = 2 : 1420 + j = 0 : 131940795334472 + j = 1 : 599997296 + j = 2 : 1352 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:13.98 +CPU time used : 00:04:44.48 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 : 1391 -p-value of test : 0.24 +Observed number of collisions : 1353 +p-value of test : 0.61 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334511 - j = 1 : 599997218 - j = 2 : 1391 + j = 0 : 131940795334473 + j = 1 : 599997294 + j = 2 : 1353 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:08.72 +CPU time used : 00:07:09.08 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 : 1387 -p-value of test : 0.27 +Observed number of collisions : 1324 +p-value of test : 0.86 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334507 - j = 1 : 599997226 - j = 2 : 1387 + j = 0 : 131940795334444 + j = 1 : 599997352 + j = 2 : 1324 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:22.35 +CPU time used : 00:08:54.90 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 : 1370 -p-value of test : 0.44 +Observed number of collisions : 1446 +p-value of test : 0.01 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334490 - j = 1 : 599997260 - j = 2 : 1370 + j = 0 : 131940795334566 + j = 1 : 599997108 + j = 2 : 1446 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:25.23 +CPU time used : 00:09:40.00 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 : 1436 -p-value of test : 0.03 +Observed number of collisions : 1364 +p-value of test : 0.50 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334556 - j = 1 : 599997128 - j = 2 : 1436 + j = 0 : 131940795334484 + j = 1 : 599997272 + j = 2 : 1364 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:21.74 +CPU time used : 00:08:52.36 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 : 1402 -p-value of test : 0.16 +Observed number of collisions : 1384 +p-value of test : 0.30 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334522 - j = 1 : 599997196 - j = 2 : 1402 + j = 0 : 131940795334504 + j = 1 : 599997232 + j = 2 : 1384 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:20.68 +CPU time used : 00:08:51.94 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 : 1462 -p-value of test : 4.6e-3 +Observed number of collisions : 1417 +p-value of test : 0.08 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334582 - j = 1 : 599997076 - j = 2 : 1462 + j = 0 : 131940795334537 + j = 1 : 599997166 + j = 2 : 1417 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:26.98 +CPU time used : 00:08:42.92 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 : 1324 -p-value of test : 0.86 +Observed number of collisions : 1293 +p-value of test : 0.97 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334444 - j = 1 : 599997352 - j = 2 : 1324 + j = 0 : 131940795334413 + j = 1 : 599997414 + j = 2 : 1293 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:58.92 +CPU time used : 00:08:51.25 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 : 1285 -p-value of test : 0.98 +Observed number of collisions : 1369 +p-value of test : 0.45 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334405 - j = 1 : 599997430 - j = 2 : 1285 + j = 0 : 131940795334489 + j = 1 : 599997262 + j = 2 : 1369 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:20.73 +CPU time used : 00:09:55.28 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 : 1465 -p-value of test : 3.6e-3 +Observed number of collisions : 1313 +p-value of test : 0.92 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334585 - j = 1 : 599997070 - j = 2 : 1465 + j = 0 : 131940795334433 + j = 1 : 599997374 + j = 2 : 1313 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:36.19 +CPU time used : 00:09:16.35 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5534 -p-value of test : 0.06 +Total observed number : 5490 +p-value of test : 0.18 ----------------------------------------------- -CPU time used : 00:04:29.30 +CPU time used : 00:05:40.80 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4344 -p-value of test : 0.46 +Total observed number : 4272 +p-value of test : 0.84 ----------------------------------------------- -CPU time used : 00:01:53.80 +CPU time used : 00:02:29.35 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7285 -p-value of test : 0.65 +Total observed number : 7302 +p-value of test : 0.57 ----------------------------------------------- -CPU time used : 00:03:10.15 +CPU time used : 00:04:15.39 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4301 -p-value of test : 0.70 +Total observed number : 4347 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:02:23.09 +CPU time used : 00:03:08.93 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4411 -p-value of test : 0.13 +Total observed number : 4293 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:02:25.57 +CPU time used : 00:03:19.88 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7405 -p-value of test : 0.16 +Total observed number : 7100 +p-value of test : 0.9947 ----------------------------------------------- -CPU time used : 00:04:01.09 +CPU time used : 00:05:21.73 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7463 -p-value of test : 0.05 +Total observed number : 7308 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:03:54.48 +CPU time used : 00:05:21.69 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7190 -p-value of test : 0.93 +Total observed number : 7214 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:05:07.39 +CPU time used : 00:06:55.38 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7395 -p-value of test : 0.19 +Total observed number : 7263 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:05:18.90 +CPU time used : 00:07:38.96 Generator state: N/A @@ -887,34 +887,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 1.67 -p-value of test : 0.14 +Stat. AD on the N values (NP) : 2.12 +p-value of test : 0.08 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) : 0.92 -p-value of test : 0.40 +A2 test on the values of A2 (m-NP) : 0.66 +p-value of test : 0.59 -Test on the Nm values of W_{n,i}(mNP1): 0.52 -p-value of test : 0.73 +Test on the Nm values of W_{n,i}(mNP1): 1.20 +p-value of test : 0.27 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 904 -p-value of test : 0.45 +Number of jumps of Y : 906 +p-value of test : 0.43 -Stat. AD (mNP2) : 1.07 -p-value of test : 0.32 +Stat. AD (mNP2) : 0.41 +p-value of test : 0.84 -Stat. AD after spacings (mNP2-S) : 3.03 -p-value of test : 0.03 +Stat. AD after spacings (mNP2-S) : 1.05 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:03:20.89 +CPU time used : 00:04:44.37 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) : 1.92 -p-value of test : 0.10 +Stat. AD on the N values (NP) : 0.49 +p-value of test : 0.76 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) : 0.31 -p-value of test : 0.93 +A2 test on the values of A2 (m-NP) : 0.43 +p-value of test : 0.81 -Test on the Nm values of W_{n,i}(mNP1): 0.52 -p-value of test : 0.73 +Test on the Nm values of W_{n,i}(mNP1): 0.54 +p-value of test : 0.70 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 607 -p-value of test : 0.39 +Number of jumps of Y : 627 +p-value of test : 0.14 -Stat. AD (mNP2) : 0.50 -p-value of test : 0.74 +Stat. AD (mNP2) : 0.53 +p-value of test : 0.72 -Stat. AD after spacings (mNP2-S) : 2.06 -p-value of test : 0.09 +Stat. AD after spacings (mNP2-S) : 1.06 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:02:08.02 +CPU time used : 00:03:02.30 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) : 0.68 -p-value of test : 0.57 +Stat. AD on the N values (NP) : 1.70 +p-value of test : 0.14 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) : 1.26 -p-value of test : 0.25 +A2 test on the values of A2 (m-NP) : 0.98 +p-value of test : 0.37 -Test on the Nm values of W_{n,i}(mNP1): 0.48 -p-value of test : 0.76 +Test on the Nm values of W_{n,i}(mNP1): 0.55 +p-value of test : 0.70 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 311 -p-value of test : 0.27 +Number of jumps of Y : 312 +p-value of test : 0.25 -Stat. AD (mNP2) : 0.97 -p-value of test : 0.37 +Stat. AD (mNP2) : 0.47 +p-value of test : 0.77 -Stat. AD after spacings (mNP2-S) : 0.81 -p-value of test : 0.48 +Stat. AD after spacings (mNP2-S) : 0.68 +p-value of test : 0.58 ----------------------------------------------- -CPU time used : 00:03:10.81 +CPU time used : 00:04:29.65 Generator state: N/A @@ -1031,18 +1031,18 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.46 -p-value of test : 0.78 +Stat. AD on the N values (NP) : 1.36 +p-value of test : 0.21 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) : 0.54 -p-value of test : 0.70 +A2 test on the values of A2 (m-NP) : 0.61 +p-value of test : 0.63 -Test on the Nm values of W_{n,i}(mNP1): 0.49 -p-value of test : 0.75 +Test on the Nm values of W_{n,i}(mNP1): 0.30 +p-value of test : 0.94 Test on the jump times of Y (superposition of Yn): @@ -1051,14 +1051,14 @@ Expected number of jumps of Y = mN : 150 Number of jumps of Y : 157 p-value of test : 0.29 -Stat. AD (mNP2) : 1.05 -p-value of test : 0.33 +Stat. AD (mNP2) : 0.64 +p-value of test : 0.61 -Stat. AD after spacings (mNP2-S) : 0.98 -p-value of test : 0.37 +Stat. AD after spacings (mNP2-S) : 0.50 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:03:21.47 +CPU time used : 00:04:48.46 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 7.85 -p-value of test : 0.35 +Chi-square statistic : 6.25 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:01:18.06 +CPU time used : 00:01:42.43 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 3.60 -p-value of test : 0.82 +Chi-square statistic : 2.94 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:01:30.89 +CPU time used : 00:02:00.21 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 24.68 -p-value of test : 0.13 +Chi-square statistic : 20.12 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:01:19.76 +CPU time used : 00:01:38.31 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 16.12 -p-value of test : 0.58 +Chi-square statistic : 29.61 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:01:32.18 +CPU time used : 00:01:56.95 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 55.34 -p-value of test : 0.42 +Chi-square statistic : 82.11 +p-value of test : 8.1e-3 ----------------------------------------------- -CPU time used : 00:01:35.88 +CPU time used : 00:02:09.04 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 44.36 -p-value of test : 0.82 +Chi-square statistic : 67.24 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:02:03.44 +CPU time used : 00:02:29.40 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 49.39 -p-value of test : 0.65 +Chi-square statistic : 51.45 +p-value of test : 0.57 ----------------------------------------------- -CPU time used : 00:02:04.77 +CPU time used : 00:02:26.62 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 43.06 -p-value of test : 0.86 +Chi-square statistic : 76.19 +p-value of test : 0.03 ----------------------------------------------- -CPU time used : 00:01:59.68 +CPU time used : 00:02:23.77 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 211.88 -p-value of test : 0.82 +Chi-square statistic : 238.08 +p-value of test : 0.38 ----------------------------------------------- -CPU time used : 00:02:06.39 +CPU time used : 00:02:40.23 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 392.34 -p-value of test : 0.92 +Chi-square statistic : 457.58 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:03:04.84 +CPU time used : 00:03:54.04 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1414.76 -p-value of test : 0.66 +Chi-square statistic : 1446.66 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:03:13.69 +CPU time used : 00:04:01.60 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 6924.29 -p-value of test : 0.85 +Chi-square statistic : 7187.19 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:03:07.88 +CPU time used : 00:04:04.01 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.24 -p-value of test : 0.50 +Kolmogorov-Smirnov+ statistic = D+ : 0.31 +p-value of test : 0.32 -Kolmogorov-Smirnov- statistic = D- : 0.100 -p-value of test : 0.85 +Kolmogorov-Smirnov- statistic = D- : 0.52 +p-value of test : 0.04 -Anderson-Darling statistic = A2 : 0.29 -p-value of test : 0.94 +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 : 30 -Chi-square statistic : 25.36 -p-value of test : 0.71 +Chi-square statistic : 32.14 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:01:44.52 +CPU time used : 00:02:00.76 Generator state: N/A @@ -1402,21 +1402,21 @@ sknuth_Run test: ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.58 +p-value of test : 0.59 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.36 +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.33 -Anderson-Darling statistic = A2 : 0.53 -p-value of test : 0.71 +Anderson-Darling statistic = A2 : 0.74 +p-value of test : 0.52 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 61.34 -p-value of test : 0.43 +Chi-square statistic : 70.24 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:04:12.69 +CPU time used : 00:04:53.85 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 : 5.98 -p-value of test : 0.31 +Value of the statistic : 5.20 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:01:15.06 +CPU time used : 00:01:30.04 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 : 120.49 -p-value of test : 0.44 +Value of the statistic : 121.60 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:02:10.68 +CPU time used : 00:02:33.54 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 : 5191.74 -p-value of test : 0.07 +Value of the statistic : 5115.85 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:01:33.38 +CPU time used : 00:01:55.52 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 : 0.88 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:03:00.54 +CPU time used : 00:04:00.14 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 : 45841 -p-value of test : 0.57 +Observed number of collisions : 45853 +p-value of test : 0.55 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869841 - j = 1 : 399908323 - j = 2 : 45831 - j = 3 : 5 + j = 0 : 1743165869853 + j = 1 : 399908297 + j = 2 : 45847 + j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:23.55 +CPU time used : 00:05:15.61 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 : 46065 -p-value of test : 0.19 +Observed number of collisions : 45665 +p-value of test : 0.84 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165870065 - j = 1 : 399907874 - j = 2 : 46057 - j = 3 : 4 + j = 0 : 1743165869665 + j = 1 : 399908672 + j = 2 : 45661 + j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:44.21 +CPU time used : 00:05:33.94 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.098 -p-value of test : 0.44 +Kolmogorov-Smirnov+ statistic = D+ : 0.092 +p-value of test : 0.48 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.38 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.10 -Anderson-Darling statistic = A2 : 0.59 -p-value of test : 0.66 +Anderson-Darling statistic = A2 : 1.13 +p-value of test : 0.29 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.45 +p-value of test : 0.39 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.05 +Kolmogorov-Smirnov+ statistic = D+ : 0.097 +p-value of test : 0.45 -Kolmogorov-Smirnov- statistic = D- : 5.70e-3 -p-value of test : 0.9929 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.37 -Anderson-Darling statistic = A2 : 2.62 -p-value of test : 0.04 +Anderson-Darling statistic = A2 : 0.65 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:03:26.12 +CPU time used : 00:04:22.30 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.47 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.14 -Kolmogorov-Smirnov- statistic = D- : 0.038 -p-value of test : 0.90 +Kolmogorov-Smirnov- statistic = D- : 0.061 +p-value of test : 0.77 -Anderson-Darling statistic = A2 : 0.57 -p-value of test : 0.67 +Anderson-Darling statistic = A2 : 0.77 +p-value of test : 0.50 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.80 +p-value of test : 0.76 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.37 +Kolmogorov-Smirnov+ statistic = D+ : 0.051 +p-value of test : 0.83 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.45 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.25 -Anderson-Darling statistic = A2 : 0.66 -p-value of test : 0.59 +Anderson-Darling statistic = A2 : 0.57 +p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:03:13.82 +CPU time used : 00:04:02.97 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.27 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.24 -Kolmogorov-Smirnov- statistic = D- : 0.055 -p-value of test : 0.85 +Kolmogorov-Smirnov- statistic = D- : 0.095 +p-value of test : 0.66 -Anderson-Darling statistic = A2 : 0.46 -p-value of test : 0.79 +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 : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.76 +p-value of test : 0.71 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.47 +Kolmogorov-Smirnov+ statistic = D+ : 0.29 +p-value of test : 0.03 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.42 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.53 -Anderson-Darling statistic = A2 : 0.57 -p-value of test : 0.67 +Anderson-Darling statistic = A2 : 2.11 +p-value of test : 0.08 ----------------------------------------------- -CPU time used : 00:02:26.81 +CPU time used : 00:03:09.45 Generator state: N/A @@ -1855,14 +1855,14 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.21 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.32 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.51 +Kolmogorov-Smirnov- statistic = D- : 0.051 +p-value of test : 0.87 -Anderson-Darling statistic = A2 : 1.33 -p-value of test : 0.22 +Anderson-Darling statistic = A2 : 0.45 +p-value of test : 0.80 Test on the sum of all N observations Number of degrees of freedom : 1999980 @@ -1873,18 +1873,18 @@ p-value of test : 0.74 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.60 +Kolmogorov-Smirnov+ statistic = D+ : 0.066 +p-value of test : 0.81 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.33 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.14 -Anderson-Darling statistic = A2 : 0.66 -p-value of test : 0.59 +Anderson-Darling statistic = A2 : 1.07 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:02:53.23 +CPU time used : 00:03:36.45 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.04 +Kolmogorov-Smirnov+ statistic = D+ : 0.025 +p-value of test : 0.93 -Kolmogorov-Smirnov- statistic = D- : 0.051 -p-value of test : 0.78 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.26 -Anderson-Darling statistic = A2 : 1.79 -p-value of test : 0.12 +Anderson-Darling statistic = A2 : 0.53 +p-value of test : 0.71 ----------------------------------------------- -CPU time used : 00:02:25.95 +CPU time used : 00:03:06.80 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.33 -p-value of test : 0.01 +Kolmogorov-Smirnov+ statistic = D+ : 0.22 +p-value of test : 0.12 -Kolmogorov-Smirnov- statistic = D- : 0.080 -p-value of test : 0.74 +Kolmogorov-Smirnov- statistic = D- : 0.025 +p-value of test : 0.96 -Anderson-Darling statistic = A2 : 2.85 -p-value of test : 0.03 +Anderson-Darling statistic = A2 : 0.87 +p-value of test : 0.43 ----------------------------------------------- -CPU time used : 00:01:45.06 +CPU time used : 00:02:10.15 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.073 -p-value of test : 0.77 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.28 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.46 +Kolmogorov-Smirnov- statistic = D- : 0.078 +p-value of test : 0.75 -Anderson-Darling statistic = A2 : 0.41 -p-value of test : 0.84 +Anderson-Darling statistic = A2 : 0.79 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:02:17.51 +CPU time used : 00:02:48.76 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.56e-4 -p-value of test : 0.38 +Kolmogorov-Smirnov+ statistic = D+ : 7.97e-5 +p-value of test : 0.78 -Kolmogorov-Smirnov- statistic = D- : 3.61e-5 -p-value of test : 0.95 +Kolmogorov-Smirnov- statistic = D- : 1.91e-4 +p-value of test : 0.23 -Anderson-Darling statistic = A2 : 0.48 -p-value of test : 0.77 +Anderson-Darling statistic = A2 : 0.83 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:00:32.47 +CPU time used : 00:00:40.14 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.52e-4 -p-value of test : 0.40 - -Kolmogorov-Smirnov- statistic = D- : 1.32e-4 +Kolmogorov-Smirnov+ statistic = D+ : 1.32e-4 p-value of test : 0.50 -Anderson-Darling statistic = A2 : 0.73 -p-value of test : 0.53 +Kolmogorov-Smirnov- statistic = D- : 2.38e-4 +p-value of test : 0.10 + +Anderson-Darling statistic = A2 : 0.96 +p-value of test : 0.38 ----------------------------------------------- -CPU time used : 00:00:34.78 +CPU time used : 00:00:42.21 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.42 -p-value of test : 0.66 +Normal statistic : -0.033 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:00:33.75 +CPU time used : 00:00:42.94 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 3.50 -p-value of test : 2.3e-4 ***** +Normal statistic : -0.64 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:00:34.04 +CPU time used : 00:00:43.03 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -0.76 -p-value of test : 0.78 +Normal statistic : 0.37 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:02:06.30 +CPU time used : 00:02:24.54 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -0.48 -p-value of test : 0.68 +Normal statistic : -0.29 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:02:07.57 +CPU time used : 00:02:28.82 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 78.65 -p-value of test : 0.16 +Chi-square statistic : 79.17 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:01:30.51 +CPU time used : 00:01:43.45 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 64.75 -p-value of test : 0.56 +Chi-square statistic : 45.21 +p-value of test : 0.98 ----------------------------------------------- -CPU time used : 00:01:37.46 +CPU time used : 00:02:08.94 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 57.65 -p-value of test : 0.79 +Chi-square statistic : 61.54 +p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:01:36.37 +CPU time used : 00:02:06.54 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 27.75 -p-value of test : 0.86 +Chi-square statistic : 48.25 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:01:20.70 +CPU time used : 00:01:42.90 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 42.63 +Chi-square statistic : 42.56 p-value of test : 0.24 ----------------------------------------------- -CPU time used : 00:01:34.34 +CPU time used : 00:02:07.77 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 38.83 -p-value of test : 0.39 +Chi-square statistic : 49.98 +p-value of test : 0.08 ----------------------------------------------- -CPU time used : 00:01:34.55 +CPU time used : 00:02:06.45 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 27.94 -p-value of test : 0.52 +Chi-square statistic : 31.77 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:02:46.43 +CPU time used : 00:03:19.54 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.023 -p-value of test : 0.97 - -Kolmogorov-Smirnov- statistic = D- : 0.32 -p-value of test : 0.11 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.71 -Anderson-Darling statistic = A2 : 1.47 -p-value of test : 0.18 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.65 + +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 : 40 -Chi-square statistic : 52.75 -p-value of test : 0.09 +Chi-square statistic : 42.21 +p-value of test : 0.38 ----------------------------------------------- -CPU time used : 00:01:23.57 +CPU time used : 00:01:49.44 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.028 -p-value of test : 0.96 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.51 -Kolmogorov-Smirnov- statistic = D- : 0.35 -p-value of test : 0.06 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.67 -Anderson-Darling statistic = A2 : 1.50 -p-value of test : 0.18 +Anderson-Darling statistic = A2 : 0.40 +p-value of test : 0.85 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 52.77 -p-value of test : 0.09 +Chi-square statistic : 34.28 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:01:27.30 +CPU time used : 00:01:49.75 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 1.31 -p-value of test : 0.73 +Chi-square statistic : 1.19 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:02:16.40 +CPU time used : 00:03:04.22 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 4.07 -p-value of test : 0.25 +Chi-square statistic : 2.17 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:02:21.10 +CPU time used : 00:03:05.22 Generator state: N/A @@ -2448,7 +2448,7 @@ Chi-square statistic : 518.64 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:00:56.89 +CPU time used : 00:01:22.03 Generator state: N/A @@ -2472,7 +2472,7 @@ Chi-square statistic : 518.64 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:00:42.04 +CPU time used : 00:00:58.45 Generator state: N/A @@ -2493,21 +2493,21 @@ smarsa_Savir2 test: ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.39 +p-value of test : 0.40 -Kolmogorov-Smirnov- statistic = D- : 0.097 -p-value of test : 0.78 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.48 -Anderson-Darling statistic = A2 : 1.17 -p-value of test : 0.28 +Anderson-Darling statistic = A2 : 0.43 +p-value of test : 0.81 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 118.26 -p-value of test : 0.76 +Chi-square statistic : 135.29 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:01:01.79 +CPU time used : 00:01:14.18 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.32 -p-value of test : 0.10 +Kolmogorov-Smirnov+ statistic = D+ : 0.44 +p-value of test : 0.01 -Kolmogorov-Smirnov- statistic = D- : 0.061 -p-value of test : 0.90 +Kolmogorov-Smirnov- statistic = D- : 0.049 +p-value of test : 0.93 -Anderson-Darling statistic = A2 : 1.83 -p-value of test : 0.12 +Anderson-Darling statistic = A2 : 2.52 +p-value of test : 0.05 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17136.91 -p-value of test : 0.94 +Chi-square statistic :17070.31 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:01:52.70 +CPU time used : 00:02:02.75 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 : 21.30 -p-value of test : 0.98 +ChiSquare statistic : 31.66 +p-value of test : 0.68 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 20.03 -p-value of test : 0.98 +ChiSquare statistic : 24.49 +p-value of test : 0.91 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 30.29 -p-value of test : 0.21 +ChiSquare statistic : 21.91 +p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 21.53 -p-value of test : 0.61 +ChiSquare statistic : 28.51 +p-value of test : 0.24 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 11.32 -p-value of test : 0.84 +ChiSquare statistic : 13.06 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:00:47.46 +CPU time used : 00:01:03.04 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 : 32.11 -p-value of test : 0.65 +ChiSquare statistic : 37.86 +p-value of test : 0.38 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 31.60 -p-value of test : 0.63 +ChiSquare statistic : 31.54 +p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 17.36 -p-value of test : 0.87 +ChiSquare statistic : 21.87 +p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 17.01 -p-value of test : 0.85 +ChiSquare statistic : 21.04 +p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 10.59 -p-value of test : 0.88 +ChiSquare statistic : 18.97 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:00:49.64 +CPU time used : 00:01:03.38 Generator state: N/A @@ -2688,44 +2688,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 146 -ChiSquare statistic : 159.41 -p-value of test : 0.21 +ChiSquare statistic : 164.00 +p-value of test : 0.15 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 141.54 -p-value of test : 0.59 +ChiSquare statistic : 155.36 +p-value of test : 0.28 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 467.88 -p-value of test : 0.85 +ChiSquare statistic : 534.07 +p-value of test : 0.14 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 137.85 -p-value of test : 0.44 +ChiSquare statistic : 126.60 +p-value of test : 0.71 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 89.59 -p-value of test : 0.10 +ChiSquare statistic : 76.65 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:00:56.37 +CPU time used : 00:01:20.66 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 : 155.53 -p-value of test : 0.28 +ChiSquare statistic : 125.65 +p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 154.59 -p-value of test : 0.30 +ChiSquare statistic : 144.71 +p-value of test : 0.51 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 496.74 -p-value of test : 0.53 +ChiSquare statistic : 515.75 +p-value of test : 0.30 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 163.95 -p-value of test : 0.05 +ChiSquare statistic : 119.73 +p-value of test : 0.84 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 76.94 -p-value of test : 0.38 +ChiSquare statistic : 62.86 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:00:59.14 +CPU time used : 00:01:21.70 Generator state: N/A @@ -2808,15 +2808,15 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 384 -ChiSquare statistic : 384.64 -p-value of test : 0.48 +ChiSquare statistic : 356.53 +p-value of test : 0.84 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 411.65 +ChiSquare statistic : 411.50 p-value of test : 0.16 @@ -2824,28 +2824,28 @@ p-value of test : 0.16 Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4875.00 -p-value of test : 0.90 +ChiSquare statistic : 5117.57 +p-value of test : 0.12 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 376.35 -p-value of test : 0.51 +ChiSquare statistic : 386.26 +p-value of test : 0.37 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 202.33 -p-value of test : 0.44 +ChiSquare statistic : 223.43 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:00:46.95 +CPU time used : 00:01:07.04 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 : 418.19 -p-value of test : 0.11 +ChiSquare statistic : 341.24 +p-value of test : 0.94 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 375.50 -p-value of test : 0.61 +ChiSquare statistic : 393.47 +p-value of test : 0.36 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5006.83 -p-value of test : 0.47 +ChiSquare statistic : 4924.67 +p-value of test : 0.77 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 422.97 -p-value of test : 0.05 +ChiSquare statistic : 395.62 +p-value of test : 0.26 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 214.87 -p-value of test : 0.22 +ChiSquare statistic : 201.76 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:00:47.05 +CPU time used : 00:01:07.65 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 8.88 -p-value of test : 0.71 +Chi2 statistic for size of jumps : 17.02 +p-value of test : 0.15 ----------------------------------------------- -Normal statistic for number of jumps : -444.91 +Normal statistic for number of jumps : -444.97 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:00.37 +CPU time used : 00:00:00.47 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 5.39 -p-value of test : 0.94 +Chi2 statistic for size of jumps : 23.94 +p-value of test : 0.02 ----------------------------------------------- -Normal statistic for number of jumps : -444.96 +Normal statistic for number of jumps : -445.02 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:00.37 +CPU time used : 00:00:00.59 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.33 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.45 -Kolmogorov-Smirnov- statistic = D- : 0.081 -p-value of test : 0.84 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.71 -Anderson-Darling statistic = A2 : 0.67 -p-value of test : 0.58 +Anderson-Darling statistic = A2 : 0.42 +p-value of test : 0.82 Tests on the sum of all N observations -Standardized normal statistic : -0.94 -p-value of test : 0.83 +Standardized normal statistic : -0.37 +p-value of test : 0.65 -Sample variance : 1.01 -p-value of test : 0.43 +Sample variance : 0.71 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:00:56.95 +CPU time used : 00:01:01.29 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.34 -p-value of test : 0.07 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.60 -Kolmogorov-Smirnov- statistic = D- : 0.079 -p-value of test : 0.84 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.41 -Anderson-Darling statistic = A2 : 1.00 -p-value of test : 0.36 +Anderson-Darling statistic = A2 : 0.40 +p-value of test : 0.84 Tests on the sum of all N observations -Standardized normal statistic : -0.86 -p-value of test : 0.81 +Standardized normal statistic : 0.16 +p-value of test : 0.44 -Sample variance : 0.93 -p-value of test : 0.50 +Sample variance : 1.28 +p-value of test : 0.24 ----------------------------------------------- -CPU time used : 00:01:05.10 +CPU time used : 00:01:25.31 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 4.53e-3 -p-value of test : 0.84 +Kolmogorov-Smirnov+ statistic = D+ : 4.30e-3 +p-value of test : 0.86 Kolmogorov-Smirnov- statistic = D- : 0.012 p-value of test : 0.29 -Anderson-Darling statistic = A2 : 0.79 -p-value of test : 0.49 +Anderson-Darling statistic = A2 : 0.80 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:00:48.75 +CPU time used : 00:00:57.75 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 9.02e-3 -p-value of test : 0.51 +Kolmogorov-Smirnov+ statistic = D+ : 0.017 +p-value of test : 0.09 -Kolmogorov-Smirnov- statistic = D- : 7.97e-3 -p-value of test : 0.59 +Kolmogorov-Smirnov- statistic = D- : 1.82e-3 +p-value of test : 0.97 -Anderson-Darling statistic = A2 : 0.44 -p-value of test : 0.81 +Anderson-Darling statistic = A2 : 1.43 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:00:46.76 +CPU time used : 00:00:56.90 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 14.78 -p-value of test : 0.06 +Chi-square statistic : 4.30 +p-value of test : 0.83 ----------------------------------------------- -Global longest run of 1 : 31.00 -p-value of test : 0.69 +Global longest run of 1 : 30.00 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:01:45.37 +CPU time used : 00:01:54.75 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 7.90 -p-value of test : 0.44 +Chi-square statistic : 10.31 +p-value of test : 0.24 ----------------------------------------------- -Global longest run of 1 : 33.00 -p-value of test : 0.44 +Global longest run of 1 : 35.00 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:01:45.10 +CPU time used : 00:01:59.24 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.34 -p-value of test : 0.07 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.37 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.68 +Kolmogorov-Smirnov- statistic = D- : 0.23 +p-value of test : 0.29 -Anderson-Darling statistic = A2 : 1.09 -p-value of test : 0.31 +Anderson-Darling statistic = A2 : 0.63 +p-value of test : 0.62 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 192.99 -p-value of test : 0.63 +Chi-square statistic : 197.76 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:02:47.93 +CPU time used : 00:03:28.38 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.37 +Kolmogorov-Smirnov+ statistic = D+ : 0.28 +p-value of test : 0.17 -Kolmogorov-Smirnov- statistic = D- : 0.19 -p-value of test : 0.42 +Kolmogorov-Smirnov- statistic = D- : 0.071 +p-value of test : 0.87 -Anderson-Darling statistic = A2 : 1.17 -p-value of test : 0.28 +Anderson-Darling statistic = A2 : 0.76 +p-value of test : 0.50 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 206.93 -p-value of test : 0.35 +Chi-square statistic : 183.10 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:02:52.61 +CPU time used : 00:03:29.81 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.25 -p-value of test : 0.25 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.38 -Kolmogorov-Smirnov- statistic = D- : 0.077 -p-value of test : 0.85 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.41 -Anderson-Darling statistic = A2 : 0.92 -p-value of test : 0.40 +Anderson-Darling statistic = A2 : 0.58 +p-value of test : 0.67 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9842.94 -p-value of test : 0.87 +Chi-square statistic : 9933.54 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:01:07.00 +CPU time used : 00:01:17.16 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.65 +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.41 -Kolmogorov-Smirnov- statistic = D- : 0.19 -p-value of test : 0.45 +Kolmogorov-Smirnov- statistic = D- : 0.030 +p-value of test : 0.96 -Anderson-Darling statistic = A2 : 0.48 -p-value of test : 0.76 +Anderson-Darling statistic = A2 : 0.59 +p-value of test : 0.65 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10053.10 -p-value of test : 0.35 +Chi-square statistic : 9861.52 +p-value of test : 0.84 ----------------------------------------------- -CPU time used : 00:01:12.05 +CPU time used : 00:01:20.52 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.65 -p-value of test : 0.26 +Normal statistic : -0.90 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:01:21.89 +CPU time used : 00:01:33.72 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.39 -p-value of test : 0.65 +Normal statistic : 1.22 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:01:19.56 +CPU time used : 00:01:27.45 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 1.16 -p-value of test : 0.12 +Normal statistic : -0.45 +p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:05:11.35 +CPU time used : 00:05:45.91 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 : 0.38 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.49 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.71 +Kolmogorov-Smirnov- statistic = D- : 0.080 +p-value of test : 0.84 -Anderson-Darling statistic = A2 : 0.45 -p-value of test : 0.80 +Anderson-Darling statistic = A2 : 0.58 +p-value of test : 0.66 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4857.01 -p-value of test : 0.63 +Chi-square statistic : 4818.70 +p-value of test : 0.76 ----------------------------------------------- -CPU time used : 00:02:07.94 +CPU time used : 00:02:30.83 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -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 : 0.76 +Kolmogorov-Smirnov- statistic = D- : 0.26 +p-value of test : 0.22 -Anderson-Darling statistic = A2 : 2.01 -p-value of test : 0.09 +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 : 4890 -Chi-square statistic : 4742.79 -p-value of test : 0.93 +Chi-square statistic : 4882.15 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:02:10.17 +CPU time used : 00:02:34.59 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 : 4009.77 -p-value of test : 0.88 +Chi-square statistic : 4109.13 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:01:36.88 +CPU time used : 00:01:50.34 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 : 4025.10 -p-value of test : 0.84 +Chi-square statistic : 4038.55 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:01:38.04 +CPU time used : 00:01:54.08 Generator state: N/A @@ -3523,11 +3523,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 -Chi-square statistic :11737.09 -p-value of test : 0.72 +Chi-square statistic :11742.47 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:01:42.37 +CPU time used : 00:02:00.56 Generator state: N/A @@ -3549,11 +3549,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 -Chi-square statistic :11826.52 -p-value of test : 0.49 +Chi-square statistic :11687.94 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:01:46.45 +CPU time used : 00:02:05.11 Generator state: N/A @@ -3575,20 +3575,20 @@ sstring_Run test: Total number of 1 runs: 2000000000 Number of degrees of freedom : 54 -Chi2 statistic for number of runs : 63.28 -p-value of test : 0.18 +Chi2 statistic for number of runs : 53.34 +p-value of test
<TRUNCATED>
