http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/src/site/resources/txt/userguide/stress/tu/run_2/tu_8 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_2/tu_8 b/src/site/resources/txt/userguide/stress/tu/run_2/tu_8 index 6b3e084..0853e4e 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_2/tu_8 +++ b/src/site/resources/txt/userguide/stress/tu/run_2/tu_8 @@ -1,12 +1,12 @@ # -# RNG: org.apache.commons.math4.rng.internal.source32.Well44497b +# RNG: org.apache.commons.rng.internal.source32.Well44497b # # 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 : 0.92 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:02:14.61 +CPU time used : 00:02:38.74 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 : 0.80 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:02:23.50 +CPU time used : 00:02:35.93 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 : 1372 -p-value of test : 0.42 +Observed number of collisions : 1373 +p-value of test : 0.41 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334492 - j = 1 : 599997256 - j = 2 : 1372 + j = 0 : 131940795334493 + j = 1 : 599997254 + j = 2 : 1373 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:34.52 +CPU time used : 00:04:48.76 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 : 1414 -p-value of test : 0.09 +Observed number of collisions : 1342 +p-value of test : 0.72 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334534 - j = 1 : 599997172 - j = 2 : 1414 + j = 0 : 131940795334462 + j = 1 : 599997316 + j = 2 : 1342 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:20.98 +CPU time used : 00:06:26.37 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 : 1388 -p-value of test : 0.26 +Observed number of collisions : 1394 +p-value of test : 0.21 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334508 - j = 1 : 599997224 - j = 2 : 1388 + j = 0 : 131940795334514 + j = 1 : 599997212 + j = 2 : 1394 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:21.09 +CPU time used : 00:09:47.28 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 : 1364 -p-value of test : 0.50 +Observed number of collisions : 1385 +p-value of test : 0.29 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334484 - j = 1 : 599997272 - j = 2 : 1364 + j = 0 : 131940795334505 + j = 1 : 599997230 + j = 2 : 1385 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:22.81 +CPU time used : 00:08:50.73 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 : 1396 -p-value of test : 0.20 +Observed number of collisions : 1375 +p-value of test : 0.39 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334516 - j = 1 : 599997208 - j = 2 : 1396 + j = 0 : 131940795334495 + j = 1 : 599997250 + j = 2 : 1375 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:26.09 +CPU time used : 00:09:15.80 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 : 1381 -p-value of test : 0.33 +Observed number of collisions : 1370 +p-value of test : 0.44 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334501 - j = 1 : 599997238 - j = 2 : 1381 + j = 0 : 131940795334490 + j = 1 : 599997260 + j = 2 : 1370 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:34.63 +CPU time used : 00:09:18.40 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 : 1427 -p-value of test : 0.05 +Observed number of collisions : 1417 +p-value of test : 0.08 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334547 - j = 1 : 599997146 - j = 2 : 1427 + j = 0 : 131940795334537 + j = 1 : 599997166 + j = 2 : 1417 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:31.03 +CPU time used : 00:09:55.46 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 : 1432 -p-value of test : 0.04 +Observed number of collisions : 1419 +p-value of test : 0.07 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334552 - j = 1 : 599997136 - j = 2 : 1432 + j = 0 : 131940795334539 + j = 1 : 599997162 + j = 2 : 1419 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:08.32 +CPU time used : 00:09:28.27 Generator state: N/A @@ -539,21 +539,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1337 -p-value of test : 0.76 +Observed number of collisions : 1365 +p-value of test : 0.50 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334457 - j = 1 : 599997326 - j = 2 : 1337 + j = 0 : 131940795334485 + j = 1 : 599997270 + j = 2 : 1365 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:51.84 +CPU time used : 00:09:47.34 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 : 1417 -p-value of test : 0.08 +Observed number of collisions : 1345 +p-value of test : 0.69 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334537 - j = 1 : 599997166 - j = 2 : 1417 + j = 0 : 131940795334465 + j = 1 : 599997310 + j = 2 : 1345 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:31.14 +CPU time used : 00:09:22.61 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5552 -p-value of test : 0.04 +Total observed number : 5444 +p-value of test : 0.38 ----------------------------------------------- -CPU time used : 00:05:18.93 +CPU time used : 00:05:40.85 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4328 -p-value of test : 0.55 +Total observed number : 4331 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:02:20.22 +CPU time used : 00:02:29.23 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7099 -p-value of test : 0.9949 +Total observed number : 7192 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:03:57.52 +CPU time used : 00:04:14.43 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4470 -p-value of test : 0.02 +Total observed number : 4246 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:02:53.82 +CPU time used : 00:03:07.02 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4366 -p-value of test : 0.33 +Total observed number : 4395 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:02:55.26 +CPU time used : 00:03:20.00 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7214 -p-value of test : 0.89 +Total observed number : 7245 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:04:03.68 +CPU time used : 00:05:20.93 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7235 -p-value of test : 0.83 +Total observed number : 7388 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:03:51.19 +CPU time used : 00:05:24.31 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7238 -p-value of test : 0.82 +Total observed number : 7224 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:04:59.56 +CPU time used : 00:06:56.43 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7369 -p-value of test : 0.28 +Total observed number : 7347 +p-value of test : 0.37 ----------------------------------------------- -CPU time used : 00:05:17.02 +CPU time used : 00:07:39.50 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) : 1.79 -p-value of test : 0.12 +Stat. AD on the N values (NP) : 0.43 +p-value of test : 0.82 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) : 1.13 -p-value of test : 0.29 +A2 test on the values of A2 (m-NP) : 1.18 +p-value of test : 0.27 -Test on the Nm values of W_{n,i}(mNP1): 0.72 -p-value of test : 0.54 +Test on the Nm values of W_{n,i}(mNP1): 2.11 +p-value of test : 0.08 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 896 -p-value of test : 0.54 +Number of jumps of Y : 923 +p-value of test : 0.23 -Stat. AD (mNP2) : 0.67 -p-value of test : 0.58 +Stat. AD (mNP2) : 2.54 +p-value of test : 0.05 -Stat. AD after spacings (mNP2-S) : 1.48 -p-value of test : 0.18 +Stat. AD after spacings (mNP2-S) : 1.22 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:03:17.40 +CPU time used : 00:04:40.67 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) : 0.57 -p-value of test : 0.68 +Stat. AD on the N values (NP) : 1.85 +p-value of test : 0.11 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) : 1.72 -p-value of test : 0.13 +A2 test on the values of A2 (m-NP) : 1.14 +p-value of test : 0.29 -Test on the Nm values of W_{n,i}(mNP1): 0.86 -p-value of test : 0.44 +Test on the Nm values of W_{n,i}(mNP1): 1.22 +p-value of test : 0.26 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 574 -p-value of test : 0.85 - -Stat. AD (mNP2) : 0.23 -p-value of test : 0.98 +Number of jumps of Y : 580 +p-value of test : 0.79 -Stat. AD after spacings (mNP2-S) : 0.67 +Stat. AD (mNP2) : 0.68 p-value of test : 0.58 +Stat. AD after spacings (mNP2-S) : 2.14 +p-value of test : 0.08 + ----------------------------------------------- -CPU time used : 00:02:07.80 +CPU time used : 00:02:48.07 Generator state: N/A @@ -983,34 +983,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 1.51 -p-value of test : 0.18 +Stat. AD on the N values (NP) : 1.08 +p-value of test : 0.32 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 1.76 -p-value of test : 0.13 +A2 test on the values of A2 (m-NP) : 0.29 +p-value of test : 0.95 -Test on the Nm values of W_{n,i}(mNP1): 0.68 -p-value of test : 0.57 +Test on the Nm values of W_{n,i}(mNP1): 0.34 +p-value of test : 0.90 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 289 -p-value of test : 0.73 +Number of jumps of Y : 305 +p-value of test : 0.39 -Stat. AD (mNP2) : 2.22 -p-value of test : 0.07 +Stat. AD (mNP2) : 0.69 +p-value of test : 0.57 -Stat. AD after spacings (mNP2-S) : 0.58 -p-value of test : 0.66 +Stat. AD after spacings (mNP2-S) : 0.57 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:03:06.72 +CPU time used : 00:04:11.07 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) : 1.30 -p-value of test : 0.23 +Stat. AD on the N values (NP) : 2.03 +p-value of test : 0.09 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) : 0.89 -p-value of test : 0.41 +A2 test on the values of A2 (m-NP) : 0.45 +p-value of test : 0.79 -Test on the Nm values of W_{n,i}(mNP1): 2.42 -p-value of test : 0.05 +Test on the Nm values of W_{n,i}(mNP1): 4.43 +p-value of test : 5.4e-3 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 159 -p-value of test : 0.24 +Number of jumps of Y : 125 +p-value of test : 0.98 -Stat. AD (mNP2) : 0.73 -p-value of test : 0.53 +Stat. AD (mNP2) : 1.16 +p-value of test : 0.28 -Stat. AD after spacings (mNP2-S) : 2.54 -p-value of test : 0.05 +Stat. AD after spacings (mNP2-S) : 0.90 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:03:20.40 +CPU time used : 00:04:18.57 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 4.24 -p-value of test : 0.75 +Chi-square statistic : 10.59 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:01:14.57 +CPU time used : 00:01:43.05 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 5.14 -p-value of test : 0.64 +Chi-square statistic : 4.86 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:01:25.84 +CPU time used : 00:02:00.72 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 17.77 -p-value of test : 0.47 +Chi-square statistic : 16.37 +p-value of test : 0.57 ----------------------------------------------- -CPU time used : 00:01:13.88 +CPU time used : 00:01:39.30 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 20.80 -p-value of test : 0.29 +Chi-square statistic : 20.18 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:01:26.76 +CPU time used : 00:01:57.36 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 74.97 -p-value of test : 0.03 +Chi-square statistic : 45.22 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:01:36.07 +CPU time used : 00:02:08.67 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 57.74 -p-value of test : 0.34 +Chi-square statistic : 61.25 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:01:49.93 +CPU time used : 00:02:29.62 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 49.70 -p-value of test : 0.64 +Chi-square statistic : 54.72 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:01:49.32 +CPU time used : 00:02:27.25 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 51.54 -p-value of test : 0.57 +Chi-square statistic : 52.95 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:01:48.60 +CPU time used : 00:02:22.56 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 262.47 -p-value of test : 0.08 +Chi-square statistic : 249.72 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:01:58.73 +CPU time used : 00:02:41.95 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 517.57 -p-value of test : 3.5e-3 +Chi-square statistic : 437.61 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:02:49.86 +CPU time used : 00:03:53.79 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1448.34 -p-value of test : 0.41 +Chi-square statistic : 1392.32 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:02:56.95 +CPU time used : 00:04:04.53 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7050.85 -p-value of test : 0.48 +Chi-square statistic : 6913.14 +p-value of test : 0.87 ----------------------------------------------- -CPU time used : 00:02:54.48 +CPU time used : 00:04:05.75 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.26 -p-value of test : 0.43 +Kolmogorov-Smirnov+ statistic = D+ : 0.30 +p-value of test : 0.35 -Kolmogorov-Smirnov- statistic = D- : 0.19 -p-value of test : 0.61 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.60 -Anderson-Darling statistic = A2 : 0.46 -p-value of test : 0.78 +Anderson-Darling statistic = A2 : 1.15 +p-value of test : 0.29 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 25.40 -p-value of test : 0.71 +Chi-square statistic : 31.99 +p-value of test : 0.37 ----------------------------------------------- -CPU time used : 00:01:41.79 +CPU time used : 00:02:03.38 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.54 +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.39 -Kolmogorov-Smirnov- statistic = D- : 0.24 -p-value of test : 0.28 +Kolmogorov-Smirnov- statistic = D- : 0.23 +p-value of test : 0.29 -Anderson-Darling statistic = A2 : 0.62 -p-value of test : 0.63 +Anderson-Darling statistic = A2 : 0.76 +p-value of test : 0.51 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 57.96 -p-value of test : 0.55 +Chi-square statistic : 65.65 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:03:57.82 +CPU time used : 00:04:59.07 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 : 0.65 -p-value of test : 0.99 +Value of the statistic : 2.55 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:01:07.70 +CPU time used : 00:01:31.79 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 : 117.15 -p-value of test : 0.53 +Value of the statistic : 113.41 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:01:58.68 +CPU time used : 00:02:38.12 Generator state: N/A @@ -1528,12 +1528,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5039 -Value of the statistic : 5076.65 -p-value of test : 0.35 +Value of the statistic : 5171.44 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:01:27.68 +CPU time used : 00:01:59.21 Generator state: N/A @@ -1567,12 +1567,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 3628799 -Value of the statistic : 3.62e+6 -p-value of test : 0.99 +Value of the statistic : 3.63e+6 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:03:09.36 +CPU time used : 00:03:54.86 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 : 46082 -p-value of test : 0.17 +Observed number of collisions : 46029 +p-value of test : 0.24 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165870082 - j = 1 : 399907838 - j = 2 : 46078 + j = 0 : 1743165870029 + j = 1 : 399907944 + j = 2 : 46025 j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:23.97 +CPU time used : 00:05:15.21 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 : 45984 -p-value of test : 0.31 +Observed number of collisions : 46398 +p-value of test : 7.9e-3 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869984 - j = 1 : 399908035 - j = 2 : 45978 + j = 0 : 1743165870398 + j = 1 : 399907207 + j = 2 : 46392 j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:29.04 +CPU time used : 00:06:04.45 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.35 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.31 -Kolmogorov-Smirnov- statistic = D- : 0.050 -p-value of test : 0.79 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.42 -Anderson-Darling statistic = A2 : 0.60 -p-value of test : 0.65 +Anderson-Darling statistic = A2 : 0.52 +p-value of test : 0.73 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.80 +p-value of test : 0.50 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 5.64e-3 -p-value of test : 0.9930 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.16 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.06 +Kolmogorov-Smirnov- statistic = D- : 0.040 +p-value of test : 0.86 -Anderson-Darling statistic = A2 : 2.26 -p-value of test : 0.07 +Anderson-Darling statistic = A2 : 0.82 +p-value of test : 0.47 ----------------------------------------------- -CPU time used : 00:03:11.97 +CPU time used : 00:04:13.81 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.063 -p-value of test : 0.75 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.50 -Kolmogorov-Smirnov- statistic = D- : 0.22 -p-value of test : 0.05 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.22 -Anderson-Darling statistic = A2 : 1.73 -p-value of test : 0.13 +Anderson-Darling statistic = A2 : 0.91 +p-value of test : 0.41 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.07 +p-value of test : 0.36 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.28 +Kolmogorov-Smirnov+ statistic = D+ : 0.098 +p-value of test : 0.53 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.44 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.29 Anderson-Darling statistic = A2 : 0.71 p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:03:02.57 +CPU time used : 00:03:59.02 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.076 -p-value of test : 0.76 +Kolmogorov-Smirnov+ statistic = D+ : 0.072 +p-value of test : 0.78 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.49 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.30 -Anderson-Darling statistic = A2 : 0.53 -p-value of test : 0.72 +Anderson-Darling statistic = A2 : 0.70 +p-value of test : 0.56 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.24 +p-value of test : 0.26 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.47 +Kolmogorov-Smirnov+ statistic = D+ : 0.023 +p-value of test : 0.97 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.43 +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.20 -Anderson-Darling statistic = A2 : 0.37 -p-value of test : 0.87 +Anderson-Darling statistic = A2 : 1.13 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:02:26.94 +CPU time used : 00:03:10.79 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.24 -p-value of test : 0.09 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.38 -Kolmogorov-Smirnov- statistic = D- : 0.017 -p-value of test : 0.98 +Kolmogorov-Smirnov- statistic = D- : 0.081 +p-value of test : 0.73 -Anderson-Darling statistic = A2 : 2.03 -p-value of test : 0.09 +Anderson-Darling statistic = A2 : 0.57 +p-value of test : 0.67 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.97 +p-value of test : 0.76 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.26 +Kolmogorov-Smirnov+ statistic = D+ : 0.084 +p-value of test : 0.71 -Kolmogorov-Smirnov- statistic = D- : 0.095 -p-value of test : 0.65 +Kolmogorov-Smirnov- statistic = D- : 0.093 +p-value of test : 0.67 -Anderson-Darling statistic = A2 : 0.66 -p-value of test : 0.59 +Anderson-Darling statistic = A2 : 0.22 +p-value of test : 0.99 ----------------------------------------------- -CPU time used : 00:02:42.57 +CPU time used : 00:03:40.44 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.36 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.13 -Kolmogorov-Smirnov- statistic = D- : 0.098 -p-value of test : 0.44 +Kolmogorov-Smirnov- statistic = D- : 0.045 +p-value of test : 0.82 -Anderson-Darling statistic = A2 : 0.73 -p-value of test : 0.53 +Anderson-Darling statistic = A2 : 1.03 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:02:19.54 +CPU time used : 00:03:08.00 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.087 -p-value of test : 0.70 +Kolmogorov-Smirnov+ statistic = D+ : 0.048 +p-value of test : 0.88 -Kolmogorov-Smirnov- statistic = D- : 0.074 -p-value of test : 0.77 +Kolmogorov-Smirnov- statistic = D- : 0.26 +p-value of test : 0.06 -Anderson-Darling statistic = A2 : 0.17 -p-value of test : 0.9959 +Anderson-Darling statistic = A2 : 1.34 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:01:41.75 +CPU time used : 00:02:12.29 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.022 -p-value of test : 0.97 +Kolmogorov-Smirnov+ statistic = D+ : 0.037 +p-value of test : 0.93 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.18 +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.21 -Anderson-Darling statistic = A2 : 1.11 -p-value of test : 0.30 +Anderson-Darling statistic = A2 : 1.06 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:02:12.50 +CPU time used : 00:02:49.61 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.84e-4 -p-value of test : 0.26 +Kolmogorov-Smirnov+ statistic = D+ : 7.00e-5 +p-value of test : 0.82 -Kolmogorov-Smirnov- statistic = D- : 8.03e-5 -p-value of test : 0.77 +Kolmogorov-Smirnov- statistic = D- : 1.56e-4 +p-value of test : 0.38 -Anderson-Darling statistic = A2 : 0.91 -p-value of test : 0.41 +Anderson-Darling statistic = A2 : 0.59 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:00:31.59 +CPU time used : 00:00:40.34 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 4.84e-5 -p-value of test : 0.91 +Kolmogorov-Smirnov+ statistic = D+ : 2.33e-4 +p-value of test : 0.11 -Kolmogorov-Smirnov- statistic = D- : 2.22e-4 -p-value of test : 0.14 +Kolmogorov-Smirnov- statistic = D- : 1.63e-5 +p-value of test : 0.99 -Anderson-Darling statistic = A2 : 0.90 -p-value of test : 0.41 +Anderson-Darling statistic = A2 : 1.29 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:00:34.69 +CPU time used : 00:00:43.31 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.46 -p-value of test : 0.68 +Normal statistic : 1.44 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:00:30.87 +CPU time used : 00:00:44.64 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.42 -p-value of test : 0.34 +Normal statistic : -1.89 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:00:29.36 +CPU time used : 00:00:44.59 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -0.65 -p-value of test : 0.74 +Normal statistic : -2.39 +p-value of test : 0.9915 ----------------------------------------------- -CPU time used : 00:01:56.20 +CPU time used : 00:02:30.12 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 0.53 -p-value of test : 0.30 +Normal statistic : 1.26 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:01:59.56 +CPU time used : 00:02:34.14 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 69.78 -p-value of test : 0.38 +Chi-square statistic : 64.72 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:01:19.44 +CPU time used : 00:01:43.72 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 60.00 -p-value of test : 0.72 +Chi-square statistic : 54.48 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:01:32.05 +CPU time used : 00:02:10.11 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 100.93 -p-value of test : 4.7e-3 +Chi-square statistic : 66.81 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:01:32.62 +CPU time used : 00:02:09.43 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 35.88 -p-value of test : 0.52 +Chi-square statistic : 28.29 +p-value of test : 0.85 ----------------------------------------------- -CPU time used : 00:01:18.04 +CPU time used : 00:01:43.10 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 29.55 -p-value of test : 0.80 +Chi-square statistic : 40.33 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:01:33.03 +CPU time used : 00:02:09.11 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 24.07 -p-value of test : 0.95 +Chi-square statistic : 32.18 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:30.78 +CPU time used : 00:02:09.64 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 29.62 -p-value of test : 0.43 +Chi-square statistic : 34.09 +p-value of test : 0.24 ----------------------------------------------- -CPU time used : 00:02:33.67 +CPU time used : 00:03:26.52 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 0.16 - -Kolmogorov-Smirnov- statistic = D- : 0.073 -p-value of test : 0.86 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.65 -Anderson-Darling statistic = A2 : 1.11 -p-value of test : 0.30 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.67 + +Anderson-Darling statistic = A2 : 0.41 +p-value of test : 0.84 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 27.84 -p-value of test : 0.93 +Chi-square statistic : 46.98 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:01:23.47 +CPU time used : 00:01:52.27 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.23 -p-value of test : 0.31 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.45 -Kolmogorov-Smirnov- statistic = D- : 0.076 -p-value of test : 0.85 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.63 -Anderson-Darling statistic = A2 : 0.69 -p-value of test : 0.57 +Anderson-Darling statistic = A2 : 0.35 +p-value of test : 0.89 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 32.78 -p-value of test : 0.78 +Chi-square statistic : 37.59 +p-value of test : 0.58 ----------------------------------------------- -CPU time used : 00:01:24.62 +CPU time used : 00:01:51.44 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 0.29 -p-value of test : 0.96 +Chi-square statistic : 6.05 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:02:16.82 +CPU time used : 00:03:12.15 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 8.67 -p-value of test : 0.03 +Chi-square statistic : 0.18 +p-value of test : 0.98 ----------------------------------------------- -CPU time used : 00:02:11.73 +CPU time used : 00:03:11.76 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 1.04 -p-value of test : 0.60 +Chi-square statistic : 2.12 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:01:32.65 +CPU time used : 00:02:10.96 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 1.48 -p-value of test : 0.48 +Chi-square statistic : 2.03 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:01:18.28 +CPU time used : 00:01:46.52 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.072 -p-value of test : 0.87 +Kolmogorov-Smirnov+ statistic = D+ : 0.33 +p-value of test : 0.09 -Kolmogorov-Smirnov- statistic = D- : 0.22 -p-value of test : 0.34 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.50 -Anderson-Darling statistic = A2 : 0.86 -p-value of test : 0.43 +Anderson-Darling statistic = A2 : 1.14 +p-value of test : 0.29 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 151.08 -p-value of test : 0.10 +Chi-square statistic : 115.50 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:01:01.61 +CPU time used : 00:01:15.88 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.033 -p-value of test : 0.96 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.73 -Kolmogorov-Smirnov- statistic = D- : 0.29 -p-value of test : 0.16 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.35 -Anderson-Darling statistic = A2 : 1.57 -p-value of test : 0.16 +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 : 17430 -Chi-square statistic :17739.36 -p-value of test : 0.05 +Chi-square statistic :17533.06 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:01:53.34 +CPU time used : 00:02:02.93 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 : 49.25 -p-value of test : 0.07 +ChiSquare statistic : 43.84 +p-value of test : 0.17 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 31.48 -p-value of test : 0.64 +ChiSquare statistic : 40.39 +p-value of test : 0.24 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 18.58 -p-value of test : 0.82 +ChiSquare statistic : 41.33 +p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 24.15 -p-value of test : 0.45 +ChiSquare statistic : 23.92 +p-value of test : 0.47 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 23.22 -p-value of test : 0.14 +ChiSquare statistic : 25.70 +p-value of test : 0.08 ----------------------------------------------- -CPU time used : 00:00:46.48 +CPU time used : 00:01:02.88 Generator state: N/A @@ -2628,15 +2628,15 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 36 -ChiSquare statistic : 30.51 -p-value of test : 0.73 +ChiSquare statistic : 40.92 +p-value of test : 0.26 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 29.45 +ChiSquare statistic : 29.40 p-value of test : 0.73 @@ -2644,28 +2644,28 @@ p-value of test : 0.73 Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 23.87 -p-value of test : 0.53 +ChiSquare statistic : 45.75 +p-value of test : 6.9e-3 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 35.68 -p-value of test : 0.06 +ChiSquare statistic : 16.60 +p-value of test : 0.87 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 30.57 -p-value of test : 0.02 +ChiSquare statistic : 19.04 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:00:48.12 +CPU time used : 00:01:05.04 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 : 141.57 -p-value of test : 0.59 +ChiSquare statistic : 151.80 +p-value of test : 0.35 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 144.57 -p-value of test : 0.52 +ChiSquare statistic : 115.11 +p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 451.64 -p-value of test : 0.94 +ChiSquare statistic : 488.01 +p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 139.70 -p-value of test : 0.40 +ChiSquare statistic : 118.76 +p-value of test : 0.85 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 56.85 -p-value of test : 0.93 +ChiSquare statistic : 59.63 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:00:55.37 +CPU time used : 00:01:21.50 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 : 172.26 -p-value of test : 0.07 +ChiSquare statistic : 144.85 +p-value of test : 0.51 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 155.56 -p-value of test : 0.28 +ChiSquare statistic : 143.79 +p-value of test : 0.54 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 517.47 -p-value of test : 0.29 +ChiSquare statistic : 502.36 +p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 108.78 -p-value of test : 0.96 +ChiSquare statistic : 133.72 +p-value of test : 0.54 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 89.51 -p-value of test : 0.11 +ChiSquare statistic : 72.05 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:00:56.62 +CPU time used : 00:01:22.88 Generator state: N/A @@ -2808,44 +2808,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 384 -ChiSquare statistic : 387.76 -p-value of test : 0.44 +ChiSquare statistic : 373.38 +p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 361.29 -p-value of test : 0.79 +ChiSquare statistic : 371.82 +p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4975.37 -p-value of test : 0.59 +ChiSquare statistic : 5021.85 +p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 356.95 -p-value of test : 0.78 +ChiSquare statistic : 380.70 +p-value of test : 0.45 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 203.48 -p-value of test : 0.42 +ChiSquare statistic : 213.07 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:00:46.60 +CPU time used : 00:01:09.50 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 : 399.21 -p-value of test : 0.29 +ChiSquare statistic : 381.85 +p-value of test : 0.52 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 345.51 -p-value of test : 0.92 +ChiSquare statistic : 362.40 +p-value of test : 0.78 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4993.88 -p-value of test : 0.52 +ChiSquare statistic : 5017.32 +p-value of test : 0.43 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 399.09 -p-value of test : 0.22 +ChiSquare statistic : 368.42 +p-value of test : 0.63 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 214.19 -p-value of test : 0.23 +ChiSquare statistic : 197.78 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:00:48.52 +CPU time used : 00:01:10.16 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 7.55 -p-value of test : 0.82 +Chi2 statistic for size of jumps : 6.24 +p-value of test : 0.90 ----------------------------------------------- -Normal statistic for number of jumps : -347.75 +Normal statistic for number of jumps : -347.82 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:19.51 +CPU time used : 00:00:28.36 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 16.88 -p-value of test : 0.15 +Chi2 statistic for size of jumps : 11.48 +p-value of test : 0.49 ----------------------------------------------- -Normal statistic for number of jumps : -347.06 +Normal statistic for number of jumps : -348.29 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:19.37 +CPU time used : 00:00:27.27 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.24 -p-value of test : 0.26 +Kolmogorov-Smirnov+ statistic = D+ : 0.29 +p-value of test : 0.15 -Kolmogorov-Smirnov- statistic = D- : 0.095 -p-value of test : 0.78 +Kolmogorov-Smirnov- statistic = D- : 8.00e-3 +p-value of test : 0.9914 -Anderson-Darling statistic = A2 : 0.79 -p-value of test : 0.48 +Anderson-Darling statistic = A2 : 1.06 +p-value of test : 0.32 Tests on the sum of all N observations -Standardized normal statistic : -0.85 -p-value of test : 0.80 +Standardized normal statistic : -1.40 +p-value of test : 0.92 -Sample variance : 1.01 -p-value of test : 0.43 +Sample variance : 0.91 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:00:55.21 +CPU time used : 00:01:01.08 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.39 +Kolmogorov-Smirnov+ statistic = D+ : 0.33 +p-value of test : 0.09 -Kolmogorov-Smirnov- statistic = D- : 0.072 -p-value of test : 0.86 +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 : 1.05 +p-value of test : 0.33 Tests on the sum of all N observations -Standardized normal statistic : -0.60 -p-value of test : 0.73 +Standardized normal statistic : -1.20 +p-value of test : 0.88 -Sample variance : 0.65 +Sample variance : 0.64 p-value of test : 0.76 ----------------------------------------------- -CPU time used : 00:00:57.90 +CPU time used : 00:01:05.29 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 6.40e-3 -p-value of test : 0.71 +Kolmogorov-Smirnov+ statistic = D+ : 5.82e-3 +p-value of test : 0.75 -Kolmogorov-Smirnov- statistic = D- : 0.015 -p-value of test : 0.16 +Kolmogorov-Smirnov- statistic = D- : 9.90e-3 +p-value of test : 0.45 -Anderson-Darling statistic = A2 : 0.49 -p-value of test : 0.75 +Anderson-Darling statistic = A2 : 0.26 +p-value of test : 0.96 ----------------------------------------------- -CPU time used : 00:00:47.68 +CPU time used : 00:00:59.95 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 3.65e-3 -p-value of test : 0.89 +Kolmogorov-Smirnov+ statistic = D+ : 9.18e-3 +p-value of test : 0.50 -Kolmogorov-Smirnov- statistic = D- : 0.012 -p-value of test : 0.33 +Kolmogorov-Smirnov- statistic = D- : 9.22e-3 +p-value of test : 0.50 -Anderson-Darling statistic = A2 : 0.62 -p-value of test : 0.62 +Anderson-Darling statistic = A2 : 0.51 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:00:46.70 +CPU time used : 00:00:59.54 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 10.90 -p-value of test : 0.21 +Chi-square statistic : 9.12 +p-value of test : 0.33 ----------------------------------------------- -Global longest run of 1 : 33.00 -p-value of test : 0.44 +Global longest run of 1 : 32.00 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:01:35.87 +CPU time used : 00:01:53.61 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 4.75 -p-value of test : 0.78 +Chi-square statistic : 1.21 +p-value of test : 0.9966 ----------------------------------------------- -Global longest run of 1 : 31.00 -p-value of test : 0.69 +Global longest run of 1 : 33.00 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:01:41.30 +CPU time used : 00:01:57.11 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.23 -p-value of test : 0.29 +Kolmogorov-Smirnov+ statistic = D+ : 0.33 +p-value of test : 0.09 -Kolmogorov-Smirnov- statistic = D- : 0.086 -p-value of test : 0.82 +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 : 0.95 +p-value of test : 0.38 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 185.75 -p-value of test : 0.76 +Chi-square statistic : 188.13 +p-value of test : 0.72 ----------------------------------------------- -CPU time used : 00:02:41.81 +CPU time used : 00:03:30.06 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.44 -p-value of test : 0.01 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.37 -Kolmogorov-Smirnov- statistic = D- : 0.019 -p-value of test : 0.98 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.70 -Anderson-Darling statistic = A2 : 2.35 -p-value of test : 0.06 +Anderson-Darling statistic = A2 : 0.41 +p-value of test : 0.84 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 160.42 -p-value of test : 0.98 +Chi-square statistic : 191.99 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:02:41.39 +CPU time used : 00:03:34.31 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.57 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.45 -Kolmogorov-Smirnov- statistic = D- : 0.24 -p-value of test : 0.28 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.54 -Anderson-Darling statistic = A2 : 0.77 -p-value of test : 0.50 +Anderson-Darling statistic = A2 : 0.49 +p-value of test : 0.75 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10014.18 -p-value of test : 0.46 +Chi-square statistic : 9927.29 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:01:04.02 +CPU time used : 00:01:17.90 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.045 -p-value of test : 0.93 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.57 -Kolmogorov-Smirnov- statistic = D- : 0.24 -p-value of test : 0.27 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.46 -Anderson-Darling statistic = A2 : 1.20 -p-value of test : 0.27 +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 : 10000 -Chi-square statistic :10198.51 -p-value of test : 0.08 +Chi-square statistic :10067.73 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:01:08.62 +CPU time used : 00:01:20.65 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.46 -p-value of test : 0.68 +Normal statistic : 1.02 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:01:20.20 +CPU time used : 00:01:33.95 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.091 -p-value of test : 0.54 +Normal statistic : 0.60 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:01:15.27 +CPU time used : 00:01:29.18 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.70 -p-value of test : 0.76 +Normal statistic : 0.61 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:04:56.37 +CPU time used : 00:05:51.52 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.47 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.49 -Kolmogorov-Smirnov- statistic = D- : 0.23 -p-value of test : 0.29 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.62 -Anderson-Darling statistic = A2 : 0.64 -p-value of test : 0.61 +Anderson-Darling statistic = A2 : 0.32 +p-value of test : 0.92 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4907.24 -p-value of test : 0.43 +Chi-square statistic : 4898.23 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:02:05.37 +CPU time used : 00:02:31.84 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.092 -p-value of test : 0.79 +Kolmogorov-Smirnov+ statistic = D+ : 0.072 +p-value of test : 0.87 -Kolmogorov-Smirnov- statistic = D- : 0.31 -p-value of test : 0.13 +Kolmogorov-Smirnov- statistic = D- : 0.28 +p-value of test : 0.17 -Anderson-Darling statistic = A2 : 1.01 -p-value of test : 0.35 +Anderson-Darling statistic = A2 : 1.03 +p-value of test : 0.34 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4972.12 -p-value of test : 0.20 +Chi-square statistic : 4993.78 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:02:11.85 +CPU time used : 00:02:36.93 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 : 4131.61 -p-value of test : 0.43 +Chi-square statistic : 4114.39 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:01:33.11 +CPU time used : 00:01:52.45 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 : 4079.85 -p-value of test : 0.66 +Chi-square statistic : 4135.76 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:01:40.11 +CPU time used : 00:01:56.38 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 :11798.86 -p-value of test : 0.57 +Chi-square statistic :11660.35 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:01:42.47 +CPU time used
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