http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/src/site/resources/txt/userguide/stress/tu/run_2/tu_11 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_2/tu_11 b/src/site/resources/txt/userguide/stress/tu/run_2/tu_11 index 737267e..22506dc 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_2/tu_11 +++ b/src/site/resources/txt/userguide/stress/tu/run_2/tu_11 @@ -1,12 +1,12 @@ # -# RNG: org.apache.commons.math4.rng.internal.source64.SplitMix64 +# RNG: org.apache.commons.rng.internal.source64.SplitMix64 # # Java: 1.8.0_66 # Runtime: 1.8.0_66-b17 # JVM: Java HotSpot(TM) 64-Bit Server VM 25.66-b17 # OS: Linux 3.16.0-4-amd64 amd64 # -# Analyzer: ../stdin2testu01 BigCrush +# Analyzer: ./stdin2testu01 BigCrush # xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting BigCrush @@ -42,11 +42,11 @@ Test Results for Delta = 1.0000 Number of degrees of freedom : 16711680 Value of the statistic : 1.67e+7 -p-value of test : 0.72 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:02:30.11 +CPU time used : 00:02:06.62 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 : 0.66 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:02:33.92 +CPU time used : 00:02:00.08 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 : 1348 -p-value of test : 0.66 +Observed number of collisions : 1406 +p-value of test : 0.13 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334468 - j = 1 : 599997304 - j = 2 : 1348 + j = 0 : 131940795334526 + j = 1 : 599997188 + j = 2 : 1406 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:24.83 +CPU time used : 00:04:16.14 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 : 1316 -p-value of test : 0.90 +Observed number of collisions : 1429 +p-value of test : 0.04 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334436 - j = 1 : 599997368 - j = 2 : 1316 + j = 0 : 131940795334549 + j = 1 : 599997142 + j = 2 : 1429 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:02.54 +CPU time used : 00:04:11.87 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 : 1375 -p-value of test : 0.39 +Observed number of collisions : 1387 +p-value of test : 0.27 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334495 - j = 1 : 599997250 - j = 2 : 1375 + j = 0 : 131940795334507 + j = 1 : 599997226 + j = 2 : 1387 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:52.97 +CPU time used : 00:04:58.22 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 : 1353 -p-value of test : 0.61 +Observed number of collisions : 1352 +p-value of test : 0.62 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334473 - j = 1 : 599997294 - j = 2 : 1353 + j = 0 : 131940795334472 + j = 1 : 599997296 + j = 2 : 1352 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:21.28 +CPU time used : 00:05:10.65 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 : 1330 -p-value of test : 0.82 +Observed number of collisions : 1390 +p-value of test : 0.25 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334450 - j = 1 : 599997340 - j = 2 : 1330 + j = 0 : 131940795334510 + j = 1 : 599997220 + j = 2 : 1390 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:13.21 +CPU time used : 00:08:51.01 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 : 1386 -p-value of test : 0.28 +Observed number of collisions : 1346 +p-value of test : 0.68 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334506 - j = 1 : 599997228 - j = 2 : 1386 + j = 0 : 131940795334466 + j = 1 : 599997308 + j = 2 : 1346 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:41.50 +CPU time used : 00:05:27.15 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 : 1408 -p-value of test : 0.12 +Observed number of collisions : 1391 +p-value of test : 0.24 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334528 - j = 1 : 599997184 - j = 2 : 1408 + j = 0 : 131940795334511 + j = 1 : 599997218 + j = 2 : 1391 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:15.63 +CPU time used : 00:05:08.48 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 : 1325 -p-value of test : 0.85 +Observed number of collisions : 1409 +p-value of test : 0.12 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334445 - j = 1 : 599997350 - j = 2 : 1325 + j = 0 : 131940795334529 + j = 1 : 599997182 + j = 2 : 1409 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:28.63 +CPU time used : 00:07:53.86 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 : 1449 -p-value of test : 0.01 +Observed number of collisions : 1349 +p-value of test : 0.65 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334569 - j = 1 : 599997102 - j = 2 : 1449 + j = 0 : 131940795334469 + j = 1 : 599997302 + j = 2 : 1349 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:48.09 +CPU time used : 00:08:04.84 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 : 1266 -p-value of test : 0.9963 +Observed number of collisions : 1376 +p-value of test : 0.38 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334386 - j = 1 : 599997468 - j = 2 : 1266 + j = 0 : 131940795334496 + j = 1 : 599997248 + j = 2 : 1376 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:28.39 +CPU time used : 00:05:28.11 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5403 -p-value of test : 0.59 +Total observed number : 5499 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:05:17.01 +CPU time used : 00:04:43.51 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4308 -p-value of test : 0.67 +Total observed number : 4343 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:02:18.02 +CPU time used : 00:01:58.92 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7367 -p-value of test : 0.29 +Total observed number : 7243 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:03:55.25 +CPU time used : 00:03:21.65 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4354 -p-value of test : 0.40 +Total observed number : 4346 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:02:52.64 +CPU time used : 00:02:30.06 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4292 -p-value of test : 0.75 +Total observed number : 4316 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:02:59.94 +CPU time used : 00:02:34.07 Generator state: N/A @@ -779,7 +779,7 @@ p-value of test : 0.43 ----------------------------------------------- -CPU time used : 00:04:23.68 +CPU time used : 00:03:53.56 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7429 -p-value of test : 0.10 +Total observed number : 7345 +p-value of test : 0.38 ----------------------------------------------- -CPU time used : 00:04:06.15 +CPU time used : 00:03:51.27 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7342 -p-value of test : 0.39 +Total observed number : 7302 +p-value of test : 0.57 ----------------------------------------------- -CPU time used : 00:05:22.17 +CPU time used : 00:04:53.82 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7306 -p-value of test : 0.55 +Total observed number : 7271 +p-value of test : 0.71 ----------------------------------------------- -CPU time used : 00:05:48.55 +CPU time used : 00:05:17.02 Generator state: N/A @@ -887,34 +887,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 2.08 -p-value of test : 0.08 +Stat. AD on the N values (NP) : 1.19 +p-value of test : 0.27 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) : 0.48 -p-value of test : 0.76 +A2 test on the values of A2 (m-NP) : 0.20 +p-value of test : 0.99 -Test on the Nm values of W_{n,i}(mNP1): 1.67 -p-value of test : 0.14 +Test on the Nm values of W_{n,i}(mNP1): 0.69 +p-value of test : 0.57 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 907 -p-value of test : 0.41 +Number of jumps of Y : 873 +p-value of test : 0.81 -Stat. AD (mNP2) : 0.86 -p-value of test : 0.44 +Stat. AD (mNP2) : 0.43 +p-value of test : 0.82 -Stat. AD after spacings (mNP2-S) : 0.98 -p-value of test : 0.37 +Stat. AD after spacings (mNP2-S) : 1.36 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:03:12.11 +CPU time used : 00:03:09.35 Generator state: N/A @@ -935,34 +935,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.52 -p-value of test : 0.72 +Stat. AD on the N values (NP) : 0.44 +p-value of test : 0.81 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) : 0.40 -p-value of test : 0.85 +A2 test on the values of A2 (m-NP) : 1.30 +p-value of test : 0.23 -Test on the Nm values of W_{n,i}(mNP1): 0.41 -p-value of test : 0.84 +Test on the Nm values of W_{n,i}(mNP1): 0.74 +p-value of test : 0.52 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 585 -p-value of test : 0.72 +Number of jumps of Y : 598 +p-value of test : 0.52 -Stat. AD (mNP2) : 1.40 -p-value of test : 0.20 +Stat. AD (mNP2) : 2.12 +p-value of test : 0.08 -Stat. AD after spacings (mNP2-S) : 0.46 -p-value of test : 0.79 +Stat. AD after spacings (mNP2-S) : 0.86 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:02:05.72 +CPU time used : 00:01:59.77 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) : 0.52 -p-value of test : 0.72 +Stat. AD on the N values (NP) : 0.54 +p-value of test : 0.70 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 2.25 -p-value of test : 0.07 +A2 test on the values of A2 (m-NP) : 0.36 +p-value of test : 0.88 -Test on the Nm values of W_{n,i}(mNP1): 0.91 -p-value of test : 0.41 +Test on the Nm values of W_{n,i}(mNP1): 0.15 +p-value of test : 0.9986 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 297 -p-value of test : 0.55 +Number of jumps of Y : 311 +p-value of test : 0.27 -Stat. AD (mNP2) : 0.59 -p-value of test : 0.66 +Stat. AD (mNP2) : 0.78 +p-value of test : 0.49 -Stat. AD after spacings (mNP2-S) : 1.52 -p-value of test : 0.17 +Stat. AD after spacings (mNP2-S) : 0.58 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:03:19.89 +CPU time used : 00:02:58.61 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) : 0.32 -p-value of test : 0.92 +Stat. AD on the N values (NP) : 1.05 +p-value of test : 0.33 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) : 3.57 +A2 test on the values of A2 (m-NP) : 3.21 p-value of test : 0.02 -Test on the Nm values of W_{n,i}(mNP1): 2.05 -p-value of test : 0.09 +Test on the Nm values of W_{n,i}(mNP1): 0.50 +p-value of test : 0.74 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 174 -p-value of test : 0.03 +Number of jumps of Y : 145 +p-value of test : 0.64 -Stat. AD (mNP2) : 0.31 -p-value of test : 0.93 +Stat. AD (mNP2) : 1.95 +p-value of test : 0.10 -Stat. AD after spacings (mNP2-S) : 0.63 -p-value of test : 0.62 +Stat. AD after spacings (mNP2-S) : 0.70 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:03:42.19 +CPU time used : 00:03:15.85 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 3.29 -p-value of test : 0.86 +Chi-square statistic : 12.75 +p-value of test : 0.08 ----------------------------------------------- -CPU time used : 00:01:15.21 +CPU time used : 00:01:20.68 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 2.36 -p-value of test : 0.94 +Chi-square statistic : 2.16 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:01:32.34 +CPU time used : 00:01:44.07 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 19.18 -p-value of test : 0.38 +Chi-square statistic : 20.17 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:01:21.48 +CPU time used : 00:01:25.05 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 17.32 -p-value of test : 0.50 +Chi-square statistic : 9.68 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:01:32.22 +CPU time used : 00:01:47.48 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 46.54 -p-value of test : 0.75 +Chi-square statistic : 66.58 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:01:47.30 +CPU time used : 00:01:49.77 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 50.12 -p-value of test : 0.62 +Chi-square statistic : 44.84 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:01:58.72 +CPU time used : 00:02:06.97 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 62.39 -p-value of test : 0.20 +Chi-square statistic : 50.44 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:02:00.97 +CPU time used : 00:02:08.71 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 39.31 -p-value of test : 0.93 +Chi-square statistic : 44.26 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:01:58.77 +CPU time used : 00:02:17.34 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 258.10 -p-value of test : 0.12 +Chi-square statistic : 220.34 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:02:09.43 +CPU time used : 00:02:25.77 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 412.07 -p-value of test : 0.77 +Chi-square statistic : 463.52 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:03:15.17 +CPU time used : 00:03:16.81 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1401.15 -p-value of test : 0.75 +Chi-square statistic : 1504.20 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:03:06.73 +CPU time used : 00:03:27.65 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7054.89 -p-value of test : 0.47 +Chi-square statistic : 7049.56 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:03:19.04 +CPU time used : 00:03:25.97 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.57 +Kolmogorov-Smirnov+ statistic = D+ : 0.085 +p-value of test : 0.88 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.59 +Kolmogorov-Smirnov- statistic = D- : 0.40 +p-value of test : 0.15 -Anderson-Darling statistic = A2 : 0.34 -p-value of test : 0.90 +Anderson-Darling statistic = A2 : 1.11 +p-value of test : 0.30 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 32.75 -p-value of test : 0.33 +Chi-square statistic : 37.65 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:01:48.85 +CPU time used : 00:01:56.37 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.62 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.50 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.60 +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.43 -Anderson-Darling statistic = A2 : 0.35 -p-value of test : 0.89 +Anderson-Darling statistic = A2 : 0.44 +p-value of test : 0.81 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 56.58 -p-value of test : 0.60 +Chi-square statistic : 56.34 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:04:14.68 +CPU time used : 00:04:41.32 Generator state: N/A @@ -1450,12 +1450,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5 -Value of the statistic : 3.29 -p-value of test : 0.66 +Value of the statistic : 5.77 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:01:15.82 +CPU time used : 00:01:27.51 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 : 133.81 -p-value of test : 0.17 +Value of the statistic : 114.50 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:02:07.10 +CPU time used : 00:01:55.63 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 : 5209.18 -p-value of test : 0.05 +Value of the statistic : 5062.92 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:01:29.17 +CPU time used : 00:01:33.47 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 : 0.55 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:02:58.98 +CPU time used : 00:02:58.37 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 : 46239 -p-value of test : 0.05 +Observed number of collisions : 45578 +p-value of test : 0.92 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165870239 - j = 1 : 399907525 - j = 2 : 46233 - j = 3 : 3 + j = 0 : 1743165869578 + j = 1 : 399908846 + j = 2 : 45574 + j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:23.79 +CPU time used : 00:04:03.79 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 : 46030 -p-value of test : 0.24 +Observed number of collisions : 46150 +p-value of test : 0.10 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165870030 - j = 1 : 399907945 - j = 2 : 46020 - j = 3 : 5 + j = 0 : 1743165870150 + j = 1 : 399907707 + j = 2 : 46136 + j = 3 : 7 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:00.10 +CPU time used : 00:04:41.56 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.040 -p-value of test : 0.86 +Kolmogorov-Smirnov+ statistic = D+ : 0.022 +p-value of test : 0.95 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.18 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.13 -Anderson-Darling statistic = A2 : 1.07 -p-value of test : 0.32 +Anderson-Darling statistic = A2 : 1.13 +p-value of test : 0.30 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 : 0.09 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.083 -p-value of test : 0.54 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.07 -Kolmogorov-Smirnov- statistic = D- : 0.070 -p-value of test : 0.65 +Kolmogorov-Smirnov- statistic = D- : 0.016 +p-value of test : 0.97 -Anderson-Darling statistic = A2 : 0.43 -p-value of test : 0.82 +Anderson-Darling statistic = A2 : 1.84 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:03:34.20 +CPU time used : 00:03:11.40 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.38 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.15 -Kolmogorov-Smirnov- statistic = D- : 0.091 -p-value of test : 0.57 +Kolmogorov-Smirnov- statistic = D- : 0.064 +p-value of test : 0.75 -Anderson-Darling statistic = A2 : 0.53 -p-value of test : 0.72 +Anderson-Darling statistic = A2 : 0.72 +p-value of test : 0.54 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.68 +p-value of test : 0.70 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.09 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.23 -Kolmogorov-Smirnov- statistic = D- : 0.026 -p-value of test : 0.94 +Kolmogorov-Smirnov- statistic = D- : 0.059 +p-value of test : 0.78 -Anderson-Darling statistic = A2 : 1.58 -p-value of test : 0.16 +Anderson-Darling statistic = A2 : 0.99 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:03:22.92 +CPU time used : 00:03:13.36 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.25 -p-value of test : 0.07 +Kolmogorov-Smirnov+ statistic = D+ : 0.28 +p-value of test : 0.03 -Kolmogorov-Smirnov- statistic = D- : 0.016 -p-value of test : 0.98 +Kolmogorov-Smirnov- statistic = D- : 0.039 +p-value of test : 0.92 -Anderson-Darling statistic = A2 : 1.50 -p-value of test : 0.18 +Anderson-Darling statistic = A2 : 2.19 +p-value of test : 0.07 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.94 +p-value of test : 0.96 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.15 +Kolmogorov-Smirnov+ statistic = D+ : 0.23 +p-value of test : 0.10 -Kolmogorov-Smirnov- statistic = D- : 0.10 -p-value of test : 0.63 +Kolmogorov-Smirnov- statistic = D- : 0.068 +p-value of test : 0.80 -Anderson-Darling statistic = A2 : 0.73 -p-value of test : 0.53 +Anderson-Darling statistic = A2 : 1.52 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:02:38.59 +CPU time used : 00:02:42.04 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.10 -p-value of test : 0.63 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.20 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.58 +Kolmogorov-Smirnov- statistic = D- : 0.085 +p-value of test : 0.71 -Anderson-Darling statistic = A2 : 0.25 -p-value of test : 0.97 +Anderson-Darling statistic = A2 : 0.62 +p-value of test : 0.63 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.52 +p-value of test : 0.77 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 0.03 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.58 -Kolmogorov-Smirnov- statistic = D- : 0.027 -p-value of test : 0.95 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.41 -Anderson-Darling statistic = A2 : 1.66 -p-value of test : 0.14 +Anderson-Darling statistic = A2 : 0.43 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:02:59.44 +CPU time used : 00:03:04.93 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.085 -p-value of test : 0.53 +Kolmogorov-Smirnov+ statistic = D+ : 0.040 +p-value of test : 0.86 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.28 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.21 -Anderson-Darling statistic = A2 : 1.33 -p-value of test : 0.22 +Anderson-Darling statistic = A2 : 0.99 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:02:27.12 +CPU time used : 00:02:30.52 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.35 +Kolmogorov-Smirnov+ statistic = D+ : 0.093 +p-value of test : 0.67 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.50 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.36 -Anderson-Darling statistic = A2 : 0.67 -p-value of test : 0.58 +Anderson-Darling statistic = A2 : 0.69 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:01:45.14 +CPU time used : 00:01:47.62 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.28 +Kolmogorov-Smirnov+ statistic = D+ : 0.32 +p-value of test : 0.01 -Kolmogorov-Smirnov- statistic = D- : 0.030 -p-value of test : 0.95 +Kolmogorov-Smirnov- statistic = D- : 0.039 +p-value of test : 0.92 -Anderson-Darling statistic = A2 : 0.87 -p-value of test : 0.43 +Anderson-Darling statistic = A2 : 3.26 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:02:11.56 +CPU time used : 00:02:18.09 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.07e-4 -p-value of test : 0.63 +Kolmogorov-Smirnov+ statistic = D+ : 6.69e-5 +p-value of test : 0.84 -Kolmogorov-Smirnov- statistic = D- : 6.36e-5 -p-value of test : 0.85 +Kolmogorov-Smirnov- statistic = D- : 1.86e-4 +p-value of test : 0.25 -Anderson-Darling statistic = A2 : 0.19 -p-value of test : 0.9936 +Anderson-Darling statistic = A2 : 0.68 +p-value of test : 0.57 ----------------------------------------------- -CPU time used : 00:00:32.12 +CPU time used : 00:00:33.15 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 9.19e-5 -p-value of test : 0.71 +Kolmogorov-Smirnov+ statistic = D+ : 8.47e-5 +p-value of test : 0.75 -Kolmogorov-Smirnov- statistic = D- : 1.58e-4 -p-value of test : 0.37 +Kolmogorov-Smirnov- statistic = D- : 1.47e-4 +p-value of test : 0.42 -Anderson-Darling statistic = A2 : 0.49 -p-value of test : 0.76 +Anderson-Darling statistic = A2 : 0.71 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:00:34.95 +CPU time used : 00:00:34.19 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 1.66 -p-value of test : 0.05 +Normal statistic : -1.01 +p-value of test : 0.84 ----------------------------------------------- -CPU time used : 00:00:34.29 +CPU time used : 00:00:34.97 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.25 -p-value of test : 0.60 +Normal statistic : 0.075 +p-value of test : 0.47 ----------------------------------------------- -CPU time used : 00:00:32.95 +CPU time used : 00:00:32.76 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -0.22 -p-value of test : 0.59 +Normal statistic : -1.69 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:02:02.73 +CPU time used : 00:02:00.56 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -0.61 -p-value of test : 0.73 +Normal statistic : -1.34 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:02:05.94 +CPU time used : 00:02:04.64 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 65.72 -p-value of test : 0.52 +Chi-square statistic : 78.80 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:01:23.40 +CPU time used : 00:01:25.52 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 63.01 -p-value of test : 0.62 +Chi-square statistic : 55.55 +p-value of test : 0.84 ----------------------------------------------- -CPU time used : 00:01:45.90 +CPU time used : 00:01:40.80 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 86.04 -p-value of test : 0.06 +Chi-square statistic : 67.66 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:01:40.29 +CPU time used : 00:01:39.03 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 27.47 -p-value of test : 0.87 +Chi-square statistic : 42.21 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:01:23.18 +CPU time used : 00:01:27.06 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 24.01 -p-value of test : 0.95 +Chi-square statistic : 35.99 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:01:42.81 +CPU time used : 00:01:45.10 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 42.06 -p-value of test : 0.26 +Chi-square statistic : 33.75 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:01:44.69 +CPU time used : 00:01:50.54 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 29.88 -p-value of test : 0.42 +Chi-square statistic : 45.50 +p-value of test : 0.03 ----------------------------------------------- -CPU time used : 00:02:41.06 +CPU time used : 00:02:50.64 Generator state: N/A @@ -2327,21 +2327,21 @@ smarsa_MatrixRank test: ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.37 +p-value of test : 0.36 -Kolmogorov-Smirnov- statistic = D- : 0.24 -p-value of test : 0.29 +Kolmogorov-Smirnov- statistic = D- : 0.090 +p-value of test : 0.80 -Anderson-Darling statistic = A2 : 0.80 -p-value of test : 0.48 +Anderson-Darling statistic = A2 : 0.53 +p-value of test : 0.71 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 34.99 -p-value of test : 0.69 +Chi-square statistic : 40.18 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:01:22.54 +CPU time used : 00:01:22.95 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.36 -p-value of test : 0.06 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.37 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.63 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.67 -Anderson-Darling statistic = A2 : 1.14 -p-value of test : 0.29 +Anderson-Darling statistic = A2 : 0.54 +p-value of test : 0.71 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 29.95 -p-value of test : 0.88 +Chi-square statistic : 32.66 +p-value of test : 0.79 ----------------------------------------------- -CPU time used : 00:01:24.80 +CPU time used : 00:01:23.72 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 1.79 -p-value of test : 0.62 +Chi-square statistic : 0.13 +p-value of test : 0.99 ----------------------------------------------- -CPU time used : 00:02:10.80 +CPU time used : 00:03:23.81 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 5.18 -p-value of test : 0.16 +Chi-square statistic : 1.45 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:02:10.48 +CPU time used : 00:02:05.92 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.78 -p-value of test : 0.68 +Chi-square statistic : 1.44 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:01:32.14 +CPU time used : 00:01:33.55 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.92 -p-value of test : 0.63 +Chi-square statistic : 0.075 +p-value of test : 0.96 ----------------------------------------------- -CPU time used : 00:01:18.37 +CPU time used : 00:01:18.68 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.045 -p-value of test : 0.93 +Kolmogorov-Smirnov+ statistic = D+ : 0.30 +p-value of test : 0.13 -Kolmogorov-Smirnov- statistic = D- : 0.49 -p-value of test : 5.4e-3 +Kolmogorov-Smirnov- statistic = D- : 0.045 +p-value of test : 0.93 -Anderson-Darling statistic = A2 : 4.11 -p-value of test : 8.1e-3 +Anderson-Darling statistic = A2 : 1.07 +p-value of test : 0.32 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 171.34 -p-value of test : 8.8e-3 +Chi-square statistic : 108.66 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:01:03.54 +CPU time used : 00:00:55.57 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.26 -p-value of test : 0.23 +Kolmogorov-Smirnov+ statistic = D+ : 0.053 +p-value of test : 0.92 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.67 +Kolmogorov-Smirnov- statistic = D- : 0.32 +p-value of test : 0.10 -Anderson-Darling statistic = A2 : 0.85 -p-value of test : 0.45 +Anderson-Darling statistic = A2 : 1.29 +p-value of test : 0.23 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17309.72 -p-value of test : 0.74 +Chi-square statistic :17676.62 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:01:53.52 +CPU time used : 00:01:54.37 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 : 41.85 -p-value of test : 0.23 +ChiSquare statistic : 36.85 +p-value of test : 0.43 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 31.57 -p-value of test : 0.63 +ChiSquare statistic : 24.36 +p-value of test : 0.91 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 16.43 -p-value of test : 0.90 +ChiSquare statistic : 19.57 +p-value of test : 0.77 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 27.26 -p-value of test : 0.29 +ChiSquare statistic : 29.25 +p-value of test : 0.21 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 12.03 -p-value of test : 0.80 +ChiSquare statistic : 13.63 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:00:48.62 +CPU time used : 00:00:46.20 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 : 32.33 -p-value of test : 0.64 +ChiSquare statistic : 40.94 +p-value of test : 0.26 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 42.17 -p-value of test : 0.19 +ChiSquare statistic : 25.43 +p-value of test : 0.88 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 50.38 -p-value of test : 1.9e-3 +ChiSquare statistic : 31.13 +p-value of test : 0.18 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 32.08 -p-value of test : 0.12 +ChiSquare statistic : 16.35 +p-value of test : 0.88 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 29.99 -p-value of test : 0.03 +ChiSquare statistic : 23.86 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:01:00.92 +CPU time used : 00:00:46.98 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 : 157.30 -p-value of test : 0.25 +ChiSquare statistic : 161.71 +p-value of test : 0.18 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 116.19 -p-value of test : 0.97 +ChiSquare statistic : 136.57 +p-value of test : 0.70 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 503.68 -p-value of test : 0.45 +ChiSquare statistic : 454.88 +p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 137.61 -p-value of test : 0.45 +ChiSquare statistic : 145.08 +p-value of test : 0.28 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 77.65 -p-value of test : 0.36 +ChiSquare statistic : 84.21 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:01:04.70 +CPU time used : 00:01:02.47 Generator state: N/A @@ -2748,23 +2748,23 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 146 -ChiSquare statistic : 156.19 -p-value of test : 0.27 +ChiSquare statistic : 141.56 +p-value of test : 0.59 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 162.36 -p-value of test : 0.17 +ChiSquare statistic : 152.36 +p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 443.25 +ChiSquare statistic : 443.73 p-value of test : 0.97 @@ -2772,20 +2772,20 @@ p-value of test : 0.97 Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 137.32 -p-value of test : 0.45 +ChiSquare statistic : 174.73 +p-value of test : 0.01 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 83.31 -p-value of test : 0.21 +ChiSquare statistic : 72.13 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:01:03.53 +CPU time used : 00:00:54.09 Generator state: N/A @@ -2808,44 +2808,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 384 -ChiSquare statistic : 378.92 -p-value of test : 0.56 +ChiSquare statistic : 388.79 +p-value of test : 0.42 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 391.55 -p-value of test : 0.38 +ChiSquare statistic : 353.41 +p-value of test : 0.87 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4930.06 -p-value of test : 0.76 +ChiSquare statistic : 5054.52 +p-value of test : 0.29 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 405.44 -p-value of test : 0.16 +ChiSquare statistic : 421.61 +p-value of test : 0.06 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 190.63 -p-value of test : 0.67 +ChiSquare statistic : 196.13 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:00:50.31 +CPU time used : 00:00:57.95 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 : 370.86 -p-value of test : 0.68 +ChiSquare statistic : 363.23 +p-value of test : 0.77 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 422.60 -p-value of test : 0.08 +ChiSquare statistic : 407.69 +p-value of test : 0.19 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5002.32 -p-value of test : 0.49 +ChiSquare statistic : 4939.45 +p-value of test : 0.73 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 362.00 -p-value of test : 0.71 +ChiSquare statistic : 428.40 +p-value of test : 0.04 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 210.73 -p-value of test : 0.29 +ChiSquare statistic : 191.25 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:00:49.48 +CPU time used : 00:00:48.90 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 8.46 -p-value of test : 0.75 +Chi2 statistic for size of jumps : 7.93 +p-value of test : 0.79 ----------------------------------------------- -Normal statistic for number of jumps : -1.03 -p-value of test : 0.85 +Normal statistic for number of jumps : 0.45 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:02:23.53 +CPU time used : 00:03:12.79 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 10.19 -p-value of test : 0.60 +Chi2 statistic for size of jumps : 10.27 +p-value of test : 0.59 ----------------------------------------------- -Normal statistic for number of jumps : 0.083 -p-value of test : 0.47 +Normal statistic for number of jumps : 2.20 +p-value of test : 0.01 ----------------------------------------------- -CPU time used : 00:02:27.95 +CPU time used : 00:03:04.28 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.100 -p-value of test : 0.77 +Kolmogorov-Smirnov+ statistic = D+ : 0.25 +p-value of test : 0.25 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.72 +Kolmogorov-Smirnov- statistic = D- : 0.095 +p-value of test : 0.78 -Anderson-Darling statistic = A2 : 0.60 -p-value of test : 0.65 +Anderson-Darling statistic = A2 : 0.82 +p-value of test : 0.46 Tests on the sum of all N observations -Standardized normal statistic : -0.42 -p-value of test : 0.66 +Standardized normal statistic : -0.72 +p-value of test : 0.76 -Sample variance : 2.15 -p-value of test : 0.02 +Sample variance : 1.23 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:00:57.75 +CPU time used : 00:01:02.27 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.41 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.48 -Kolmogorov-Smirnov- statistic = D- : 0.22 -p-value of test : 0.33 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.55 -Anderson-Darling statistic = A2 : 0.51 -p-value of test : 0.73 +Anderson-Darling statistic = A2 : 0.31 +p-value of test : 0.93 Tests on the sum of all N observations -Standardized normal statistic : -0.10 -p-value of test : 0.54 +Standardized normal statistic : -0.16 +p-value of test : 0.56 Sample variance : 0.80 p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:00:57.77 +CPU time used : 00:01:03.26 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.012 -p-value of test : 0.30 +Kolmogorov-Smirnov+ statistic = D+ : 9.07e-3 +p-value of test : 0.51 -Kolmogorov-Smirnov- statistic = D- : 4.04e-3 -p-value of test : 0.87 +Kolmogorov-Smirnov- statistic = D- : 8.29e-3 +p-value of test : 0.57 Anderson-Darling statistic = A2 : 0.50 p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:00:48.62 +CPU time used : 00:00:55.05 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 5.86e-3 -p-value of test : 0.75 +Kolmogorov-Smirnov+ statistic = D+ : 0.012 +p-value of test : 0.29 -Kolmogorov-Smirnov- statistic = D- : 0.013 -p-value of test : 0.27 +Kolmogorov-Smirnov- statistic = D- : 0.011 +p-value of test : 0.36 -Anderson-Darling statistic = A2 : 0.78 -p-value of test : 0.50 +Anderson-Darling statistic = A2 : 1.51 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:00:47.69 +CPU time used : 00:00:56.59 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 7.15 -p-value of test : 0.52 +Chi-square statistic : 3.94 +p-value of test : 0.86 ----------------------------------------------- -Global longest run of 1 : 32.00 -p-value of test : 0.50 +Global longest run of 1 : 35.00 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:01:44.87 +CPU time used : 00:01:45.52 Generator state: N/A @@ -3153,8 +3153,8 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 9.91 -p-value of test : 0.27 +Chi-square statistic : 7.02 +p-value of test : 0.53 ----------------------------------------------- Global longest run of 1 : 34.00 @@ -3163,7 +3163,7 @@ p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:01:44.60 +CPU time used : 00:01:47.45 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.57 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.63 -Kolmogorov-Smirnov- statistic = D- : 0.25 -p-value of test : 0.25 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.38 -Anderson-Darling statistic = A2 : 0.50 -p-value of test : 0.74 +Anderson-Darling statistic = A2 : 0.34 +p-value of test : 0.90 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 203.57 -p-value of test : 0.42 +Chi-square statistic : 206.37 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:03:05.88 +CPU time used : 00:02:55.67 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.53 +Kolmogorov-Smirnov+ statistic = D+ : 0.098 +p-value of test : 0.77 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.47 +Kolmogorov-Smirnov- statistic = D- : 0.38 +p-value of test : 0.04 -Anderson-Darling statistic = A2 : 0.49 -p-value of test : 0.75 +Anderson-Darling statistic = A2 : 3.22 +p-value of test : 0.02 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 209.08 -p-value of test : 0.32 +Chi-square statistic : 246.62 +p-value of test : 0.01 ----------------------------------------------- -CPU time used : 00:03:04.35 +CPU time used : 00:03:00.93 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 0.16 +Kolmogorov-Smirnov+ statistic = D+ : 0.055 +p-value of test : 0.91 -Kolmogorov-Smirnov- statistic = D- : 0.25 -p-value of test : 0.26 +Kolmogorov-Smirnov- statistic = D- : 0.37 +p-value of test : 0.05 -Anderson-Darling statistic = A2 : 1.34 -p-value of test : 0.22 +Anderson-Darling statistic = A2 : 1.39 +p-value of test : 0.21 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9939.55 -p-value of test : 0.66 +Chi-square statistic :10177.86 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:01:07.65 +CPU time used : 00:01:09.62 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.37 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.73 -Kolmogorov-Smirnov- statistic = D- : 0.054 -p-value of test : 0.91 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.46 -Anderson-Darling statistic = A2 : 0.39 -p-value of test : 0.86 +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 : 10000 -Chi-square statistic : 9917.62 -p-value of test : 0.72 +Chi-square statistic :10012.43 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:01:13.22 +CPU time used : 00:01:11.05 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.069 -p-value of test : 0.53 +Normal statistic : -0.62 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:01:24.75 +CPU time used : 00:01:25.82 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.62 -p-value of test : 0.27 +Normal statistic : 0.48 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:01:21.87 +CPU time used : 00:01:24.12 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.74 -p-value of test : 0.23 +Normal statistic : -0.092 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:05:19.36 +CPU time used : 00:05:30.89 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.094 -p-value of test : 0.79 +Kolmogorov-Smirnov+ statistic = D+ : 0.26 +p-value of test : 0.23 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.36 +Kolmogorov-Smirnov- statistic = D- : 0.093 +p-value of test : 0.79 -Anderson-Darling statistic = A2 : 0.52 -p-value of test : 0.72 +Anderson-Darling statistic = A2 : 0.95 +p-value of test : 0.38 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4950.40 -p-value of test : 0.27 +Chi-square statistic : 4785.43 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:02:17.32 +CPU time used : 00:02:22.29 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.063 -p-value of test : 0.89 +Kolmogorov-Smirnov+ statistic = D+ : 0.051 +p-value of test : 0.92 -Kolmogorov-Smirnov- statistic = D- : 0.25 -p-value of test : 0.25 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.47 -Anderson-Darling statistic = A2 : 0.70 -p-value of test : 0.56 +Anderson-Darling statistic = A2 : 0.48 +p-value of test : 0.76 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4995.77 -p-value of test : 0.14 +Chi-square statistic : 4964.55 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:02:21.90 +CPU time used : 00:02:25.59 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 : 3853.98 -p-value of test : 0.9984 +Chi-square statistic : 4082.33 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:01:40.61 +CPU time used : 00:01:45.04 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 : 4144.92 -p-value of test : 0.38 +Chi-square statistic : 4072.09 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:44.45 +CPU time used : 00:01:44.56 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 :12073.00 -p-value of test : 0.05 +Chi-square statistic :11771.44 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:01:49.98 +CPU time used : 00:01:49.72 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 :11865.24 -p-value of test : 0.40 +Chi-square statistic
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