http://git-wip-us.apache.org/repos/asf/commons-rng/blob/a61e17b9/src/site/resources/txt/userguide/stress/tu/run_1/tu_12 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_1/tu_12 b/src/site/resources/txt/userguide/stress/tu/run_1/tu_12 index 3c3ecd7..7cd6724 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_1/tu_12 +++ b/src/site/resources/txt/userguide/stress/tu/run_1/tu_12 @@ -1,9 +1,9 @@ # -# RNG: org.apache.commons.rng.internal.source64.XorShift1024Star +# RNG: org.apache.commons.rng.core.source64.XorShift1024Star # -# Java: 1.8.0_66 -# Runtime: 1.8.0_66-b17 -# JVM: Java HotSpot(TM) 64-Bit Server VM 25.66-b17 +# Java: 1.8.0_111 +# Runtime: 1.8.0_111-b14 +# JVM: Java HotSpot(TM) 64-Bit Server VM 25.111-b14 # OS: Linux 3.16.0-4-amd64 amd64 # # Analyzer: ./stdin2testu01 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 : 0.66 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:02:27.06 +CPU time used : 00:02:18.81 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 : 0.74 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:02:19.72 +CPU time used : 00:02:25.49 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 : 1335 -p-value of test : 0.78 +Observed number of collisions : 1387 +p-value of test : 0.27 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334455 - j = 1 : 599997330 - j = 2 : 1335 + j = 0 : 131940795334507 + j = 1 : 599997226 + j = 2 : 1387 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:52.03 +CPU time used : 00:03:54.30 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 : 1330 -p-value of test : 0.82 +Observed number of collisions : 1385 +p-value of test : 0.29 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334450 - j = 1 : 599997340 - j = 2 : 1330 + j = 0 : 131940795334505 + j = 1 : 599997230 + j = 2 : 1385 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:28.70 +CPU time used : 00:03:44.25 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 : 1340 -p-value of test : 0.74 +Observed number of collisions : 1304 +p-value of test : 0.95 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334460 - j = 1 : 599997320 - j = 2 : 1340 + j = 0 : 131940795334424 + j = 1 : 599997392 + j = 2 : 1304 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:37.85 +CPU time used : 00:05:00.75 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 : 1375 -p-value of test : 0.39 +Observed number of collisions : 1309 +p-value of test : 0.93 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334495 - j = 1 : 599997250 - j = 2 : 1375 + j = 0 : 131940795334429 + j = 1 : 599997382 + j = 2 : 1309 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:07.02 +CPU time used : 00:05:06.35 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 : 1394 -p-value of test : 0.21 +Observed number of collisions : 1350 +p-value of test : 0.64 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334514 - j = 1 : 599997212 - j = 2 : 1394 + j = 0 : 131940795334470 + j = 1 : 599997300 + j = 2 : 1350 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:50.65 +CPU time used : 00:07:03.33 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 : 1369 -p-value of test : 0.45 +Observed number of collisions : 1362 +p-value of test : 0.52 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334489 - j = 1 : 599997262 - j = 2 : 1369 + j = 0 : 131940795334482 + j = 1 : 599997276 + j = 2 : 1362 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:58.98 +CPU time used : 00:06:10.65 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 : 1393 -p-value of test : 0.22 +Observed number of collisions : 1309 +p-value of test : 0.93 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334513 - j = 1 : 599997214 - j = 2 : 1393 + j = 0 : 131940795334429 + j = 1 : 599997382 + j = 2 : 1309 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:15.30 +CPU time used : 00:06:01.44 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 : 1379 -p-value of test : 0.35 +Observed number of collisions : 1380 +p-value of test : 0.34 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334499 - j = 1 : 599997242 - j = 2 : 1379 + j = 0 : 131940795334500 + j = 1 : 599997240 + j = 2 : 1380 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:14.13 +CPU time used : 00:08:07.94 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 : 1384 -p-value of test : 0.30 +Observed number of collisions : 1322 +p-value of test : 0.87 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334504 - j = 1 : 599997232 - j = 2 : 1384 + j = 0 : 131940795334442 + j = 1 : 599997356 + j = 2 : 1322 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:25.57 +CPU time used : 00:05:32.48 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 : 1352 -p-value of test : 0.62 +Observed number of collisions : 1376 +p-value of test : 0.38 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334472 - j = 1 : 599997296 - j = 2 : 1352 + j = 0 : 131940795334496 + j = 1 : 599997248 + j = 2 : 1376 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:14.23 +CPU time used : 00:08:19.55 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5445 -p-value of test : 0.37 +Total observed number : 5430 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:04:56.56 +CPU time used : 00:05:04.00 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4286 -p-value of test : 0.78 +Total observed number : 4433 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:02:04.52 +CPU time used : 00:02:15.00 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7332 -p-value of test : 0.44 +Total observed number : 7445 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:03:24.60 +CPU time used : 00:03:49.77 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4328 -p-value of test : 0.55 +Total observed number : 4370 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:02:27.80 +CPU time used : 00:02:46.42 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4271 -p-value of test : 0.84 +Total observed number : 4353 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:02:35.42 +CPU time used : 00:02:57.27 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7297 -p-value of test : 0.60 +Total observed number : 7386 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:03:58.00 +CPU time used : 00:04:40.89 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7461 -p-value of test : 0.05 +Total observed number : 7266 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:03:50.51 +CPU time used : 00:04:36.39 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7363 -p-value of test : 0.30 +Total observed number : 7282 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:04:54.59 +CPU time used : 00:05:39.36 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7200 -p-value of test : 0.92 +Total observed number : 7347 +p-value of test : 0.37 ----------------------------------------------- -CPU time used : 00:05:16.22 +CPU time used : 00:06:09.86 Generator state: N/A @@ -887,34 +887,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.50 -p-value of test : 0.75 +Stat. AD on the N values (NP) : 0.67 +p-value of test : 0.58 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 1.00 -p-value of test : 0.36 +A2 test on the values of A2 (m-NP) : 0.56 +p-value of test : 0.68 -Test on the Nm values of W_{n,i}(mNP1): 0.33 -p-value of test : 0.91 +Test on the Nm values of W_{n,i}(mNP1): 0.94 +p-value of test : 0.39 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 943 -p-value of test : 0.08 +Number of jumps of Y : 870 +p-value of test : 0.84 -Stat. AD (mNP2) : 0.42 -p-value of test : 0.83 +Stat. AD (mNP2) : 0.46 +p-value of test : 0.78 -Stat. AD after spacings (mNP2-S) : 0.91 -p-value of test : 0.41 +Stat. AD after spacings (mNP2-S) : 0.99 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:03:14.14 +CPU time used : 00:03:26.10 Generator state: N/A @@ -935,34 +935,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 1.02 -p-value of test : 0.35 +Stat. AD on the N values (NP) : 0.99 +p-value of test : 0.36 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) : 1.82 -p-value of test : 0.12 +A2 test on the values of A2 (m-NP) : 0.59 +p-value of test : 0.65 -Test on the Nm values of W_{n,i}(mNP1): 0.43 -p-value of test : 0.82 +Test on the Nm values of W_{n,i}(mNP1): 1.81 +p-value of test : 0.12 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 604 -p-value of test : 0.44 +Number of jumps of Y : 650 +p-value of test : 0.02 -Stat. AD (mNP2) : 1.96 -p-value of test : 0.10 +Stat. AD (mNP2) : 1.87 +p-value of test : 0.11 -Stat. AD after spacings (mNP2-S) : 1.10 -p-value of test : 0.31 +Stat. AD after spacings (mNP2-S) : 0.86 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:02:00.80 +CPU time used : 00:02:05.85 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) : 0.94 -p-value of test : 0.39 +Stat. AD on the N values (NP) : 0.82 +p-value of test : 0.46 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) : 0.86 -p-value of test : 0.44 +A2 test on the values of A2 (m-NP) : 1.52 +p-value of test : 0.17 -Test on the Nm values of W_{n,i}(mNP1): 0.28 -p-value of test : 0.95 +Test on the Nm values of W_{n,i}(mNP1): 1.47 +p-value of test : 0.18 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 299 -p-value of test : 0.51 +Number of jumps of Y : 342 +p-value of test : 9.3e-3 -Stat. AD (mNP2) : 0.83 -p-value of test : 0.46 +Stat. AD (mNP2) : 1.00 +p-value of test : 0.36 -Stat. AD after spacings (mNP2-S) : 0.50 -p-value of test : 0.75 +Stat. AD after spacings (mNP2-S) : 1.13 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:03:01.48 +CPU time used : 00:03:22.14 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) : 0.61 -p-value of test : 0.63 +Stat. AD on the N values (NP) : 0.87 +p-value of test : 0.42 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) : 1.31 -p-value of test : 0.23 +A2 test on the values of A2 (m-NP) : 1.69 +p-value of test : 0.14 -Test on the Nm values of W_{n,i}(mNP1): 0.35 -p-value of test : 0.90 +Test on the Nm values of W_{n,i}(mNP1): 2.51 +p-value of test : 0.05 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 151 -p-value of test : 0.48 +Number of jumps of Y : 124 +p-value of test : 0.98 -Stat. AD (mNP2) : 0.55 -p-value of test : 0.69 +Stat. AD (mNP2) : 0.50 +p-value of test : 0.75 -Stat. AD after spacings (mNP2-S) : 0.75 -p-value of test : 0.52 +Stat. AD after spacings (mNP2-S) : 0.47 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:03:18.52 +CPU time used : 00:03:34.47 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 0.93 -p-value of test : 0.9959 +Chi-square statistic : 1.67 +p-value of test : 0.98 ----------------------------------------------- -CPU time used : 00:01:22.42 +CPU time used : 00:01:21.02 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 6.95 -p-value of test : 0.43 +Chi-square statistic : 10.68 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:01:33.47 +CPU time used : 00:01:34.27 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 26.02 -p-value of test : 0.10 +Chi-square statistic : 17.30 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:01:18.51 +CPU time used : 00:01:19.89 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 15.17 -p-value of test : 0.65 +Chi-square statistic : 14.78 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:01:23.31 +CPU time used : 00:01:36.06 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 39.62 -p-value of test : 0.93 +Chi-square statistic : 45.59 +p-value of test : 0.79 ----------------------------------------------- -CPU time used : 00:01:30.63 +CPU time used : 00:01:51.32 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 37.45 -p-value of test : 0.96 +Chi-square statistic : 84.97 +p-value of test : 4.5e-3 ----------------------------------------------- -CPU time used : 00:01:48.77 +CPU time used : 00:02:13.64 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 51.83 -p-value of test : 0.56 +Chi-square statistic : 69.01 +p-value of test : 0.08 ----------------------------------------------- -CPU time used : 00:01:45.22 +CPU time used : 00:02:18.92 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 55.25 -p-value of test : 0.43 +Chi-square statistic : 51.38 +p-value of test : 0.58 ----------------------------------------------- -CPU time used : 00:01:56.81 +CPU time used : 00:02:15.78 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 249.93 -p-value of test : 0.20 +Chi-square statistic : 212.82 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:02:20.22 +CPU time used : 00:02:45.65 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 497.21 -p-value of test : 0.02 +Chi-square statistic : 464.70 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:03:17.05 +CPU time used : 00:04:03.46 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1363.38 -p-value of test : 0.92 +Chi-square statistic : 1466.07 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:03:31.14 +CPU time used : 00:04:26.92 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7045.15 -p-value of test : 0.50 +Chi-square statistic : 7061.32 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:03:17.30 +CPU time used : 00:04:02.70 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.080 -p-value of test : 0.89 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.81 -Kolmogorov-Smirnov- statistic = D- : 0.45 -p-value of test : 0.10 +Kolmogorov-Smirnov- statistic = D- : 0.37 +p-value of test : 0.20 -Anderson-Darling statistic = A2 : 0.96 -p-value of test : 0.37 +Anderson-Darling statistic = A2 : 1.42 +p-value of test : 0.20 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 37.14 -p-value of test : 0.17 +Chi-square statistic : 43.25 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:01:57.32 +CPU time used : 00:02:10.18 Generator state: N/A @@ -1404,19 +1404,19 @@ sknuth_Run test: Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.73 -Kolmogorov-Smirnov- statistic = D- : 0.61 -p-value of test : 1.9e-4 ***** +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.36 -Anderson-Darling statistic = A2 : 4.67 -p-value of test : 4.4e-3 +Anderson-Darling statistic = A2 : 0.58 +p-value of test : 0.67 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 81.28 -p-value of test : 0.04 +Chi-square statistic : 62.57 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:04:46.54 +CPU time used : 00:05:08.17 Generator state: N/A @@ -1450,12 +1450,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5 -Value of the statistic : 1.73 -p-value of test : 0.88 +Value of the statistic : 2.59 +p-value of test : 0.76 ----------------------------------------------- -CPU time used : 00:01:15.84 +CPU time used : 00:01:33.54 Generator state: N/A @@ -1489,12 +1489,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 119 -Value of the statistic : 116.68 -p-value of test : 0.54 +Value of the statistic : 131.33 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:02:05.81 +CPU time used : 00:02:38.46 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 : 5076.49 -p-value of test : 0.35 +Value of the statistic : 5125.25 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:01:30.46 +CPU time used : 00:01:51.89 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 : 0.44 +p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:03:03.32 +CPU time used : 00:03:17.35 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 : 45613 -p-value of test : 0.89 +Observed number of collisions : 45814 +p-value of test : 0.62 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869613 - j = 1 : 399908776 - j = 2 : 45609 - j = 3 : 2 + j = 0 : 1743165869814 + j = 1 : 399908377 + j = 2 : 45804 + j = 3 : 5 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:40.04 +CPU time used : 00:04:57.21 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 : 46002 -p-value of test : 0.28 +Observed number of collisions : 45638 +p-value of test : 0.87 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165870002 - j = 1 : 399908001 - j = 2 : 45992 - j = 3 : 5 + j = 0 : 1743165869638 + j = 1 : 399908725 + j = 2 : 45636 + j = 3 : 1 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:26.09 +CPU time used : 00:05:12.65 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.059 -p-value of test : 0.73 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.33 -Kolmogorov-Smirnov- statistic = D- : 0.10 -p-value of test : 0.41 +Kolmogorov-Smirnov- statistic = D- : 0.099 +p-value of test : 0.43 -Anderson-Darling statistic = A2 : 0.65 -p-value of test : 0.60 +Anderson-Darling statistic = A2 : 0.56 +p-value of test : 0.68 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.37 +p-value of test : 0.32 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.064 -p-value of test : 0.69 +Kolmogorov-Smirnov+ statistic = D+ : 0.014 +p-value of test : 0.98 -Kolmogorov-Smirnov- statistic = D- : 0.10 -p-value of test : 0.41 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.08 -Anderson-Darling statistic = A2 : 0.33 -p-value of test : 0.92 +Anderson-Darling statistic = A2 : 2.10 +p-value of test : 0.08 ----------------------------------------------- -CPU time used : 00:03:20.94 +CPU time used : 00:04:27.22 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.055 -p-value of test : 0.81 +Kolmogorov-Smirnov+ statistic = D+ : 0.058 +p-value of test : 0.79 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.08 +Kolmogorov-Smirnov- statistic = D- : 0.086 +p-value of test : 0.61 -Anderson-Darling statistic = A2 : 1.16 -p-value of test : 0.28 +Anderson-Darling statistic = A2 : 0.38 +p-value of test : 0.86 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.11 +p-value of test : 0.30 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.05 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.29 -Kolmogorov-Smirnov- statistic = D- : 0.054 -p-value of test : 0.81 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.50 -Anderson-Darling statistic = A2 : 1.27 -p-value of test : 0.24 +Anderson-Darling statistic = A2 : 0.67 +p-value of test : 0.59 ----------------------------------------------- -CPU time used : 00:03:15.27 +CPU time used : 00:04:10.54 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 0.03 +Kolmogorov-Smirnov+ statistic = D+ : 0.073 +p-value of test : 0.77 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.59 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.38 -Anderson-Darling statistic = A2 : 1.58 -p-value of test : 0.16 +Anderson-Darling statistic = A2 : 0.67 +p-value of test : 0.58 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.79 +p-value of test : 0.28 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.097 -p-value of test : 0.65 +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.17 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.29 +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.13 -Anderson-Darling statistic = A2 : 0.70 -p-value of test : 0.55 +Anderson-Darling statistic = A2 : 1.29 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:02:37.15 +CPU time used : 00:03:20.57 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.40 +Kolmogorov-Smirnov+ statistic = D+ : 0.23 +p-value of test : 0.10 -Kolmogorov-Smirnov- statistic = D- : 0.094 -p-value of test : 0.66 +Kolmogorov-Smirnov- statistic = D- : 0.061 +p-value of test : 0.83 -Anderson-Darling statistic = A2 : 0.56 -p-value of test : 0.68 +Anderson-Darling statistic = A2 : 1.82 +p-value of test : 0.12 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.63 +p-value of test : 0.95 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.092 -p-value of test : 0.67 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.15 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.16 +Kolmogorov-Smirnov- statistic = D- : 1.91e-3 +p-value of test : 0.9980 -Anderson-Darling statistic = A2 : 0.67 -p-value of test : 0.58 +Anderson-Darling statistic = A2 : 1.64 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:02:58.06 +CPU time used : 00:03:39.84 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.12 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.21 -Kolmogorov-Smirnov- statistic = D- : 0.052 -p-value of test : 0.78 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.23 -Anderson-Darling statistic = A2 : 1.27 -p-value of test : 0.24 +Anderson-Darling statistic = A2 : 1.02 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:02:28.75 +CPU time used : 00:03:55.37 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.049 -p-value of test : 0.88 - -Kolmogorov-Smirnov- statistic = D- : 0.21 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 p-value of test : 0.16 -Anderson-Darling statistic = A2 : 1.08 -p-value of test : 0.32 +Kolmogorov-Smirnov- statistic = D- : 0.028 +p-value of test : 0.95 + +Anderson-Darling statistic = A2 : 1.36 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:01:44.95 +CPU time used : 00:02:36.34 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.073 -p-value of test : 0.77 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.22 -Kolmogorov-Smirnov- statistic = D- : 0.10 -p-value of test : 0.63 +Kolmogorov-Smirnov- statistic = D- : 0.083 +p-value of test : 0.72 -Anderson-Darling statistic = A2 : 0.26 -p-value of test : 0.96 +Anderson-Darling statistic = A2 : 0.94 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:02:20.78 +CPU time used : 00:03:09.89 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 2.03e-4 -p-value of test : 0.19 +Kolmogorov-Smirnov+ statistic = D+ : 2.02e-4 +p-value of test : 0.20 -Kolmogorov-Smirnov- statistic = D- : 6.27e-5 -p-value of test : 0.85 +Kolmogorov-Smirnov- statistic = D- : 9.13e-5 +p-value of test : 0.72 -Anderson-Darling statistic = A2 : 1.08 -p-value of test : 0.32 +Anderson-Darling statistic = A2 : 0.87 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:00:33.61 +CPU time used : 00:00:37.06 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 3.24e-4 -p-value of test : 0.01 +Kolmogorov-Smirnov+ statistic = D+ : 1.16e-4 +p-value of test : 0.58 -Kolmogorov-Smirnov- statistic = D- : 2.90e-5 -p-value of test : 0.97 +Kolmogorov-Smirnov- statistic = D- : 9.85e-5 +p-value of test : 0.68 -Anderson-Darling statistic = A2 : 3.28 -p-value of test : 0.02 +Anderson-Darling statistic = A2 : 0.29 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:00:34.27 +CPU time used : 00:00:38.38 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.89 -p-value of test : 0.81 +Normal statistic : -1.36 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:00:35.53 +CPU time used : 00:00:40.50 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.31 -p-value of test : 0.38 +Normal statistic : 0.48 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:00:36.11 +CPU time used : 00:00:40.70 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 0.51 -p-value of test : 0.31 +Normal statistic : -0.60 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:02:03.78 +CPU time used : 00:03:04.00 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -1.82 -p-value of test : 0.97 +Normal statistic : 0.22 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:02:10.28 +CPU time used : 00:03:09.92 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 63.34 +Chi-square statistic : 63.45 p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:01:25.23 +CPU time used : 00:01:40.64 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 64.96 -p-value of test : 0.55 +Chi-square statistic : 71.98 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:01:41.78 +CPU time used : 00:02:02.62 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 66.68 -p-value of test : 0.49 +Chi-square statistic : 55.73 +p-value of test : 0.84 ----------------------------------------------- -CPU time used : 00:01:48.96 +CPU time used : 00:02:07.56 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 39.68 -p-value of test : 0.35 +Chi-square statistic : 41.37 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:01:26.17 +CPU time used : 00:01:47.20 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 46.14 -p-value of test : 0.14 +Chi-square statistic : 46.07 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:01:43.87 +CPU time used : 00:01:59.18 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 43.47 -p-value of test : 0.22 +Chi-square statistic : 36.08 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:01:45.87 +CPU time used : 00:02:09.92 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 18.87 -p-value of test : 0.92 +Chi-square statistic : 37.05 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:02:48.64 +CPU time used : 00:03:26.15 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.027 -p-value of test : 0.96 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.43 -Kolmogorov-Smirnov- statistic = D- : 0.30 -p-value of test : 0.14 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.46 -Anderson-Darling statistic = A2 : 1.15 -p-value of test : 0.29 +Anderson-Darling statistic = A2 : 0.46 +p-value of test : 0.78 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 51.16 -p-value of test : 0.11 +Chi-square statistic : 41.97 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:01:25.55 +CPU time used : 00:01:41.50 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.33 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.38 -Kolmogorov-Smirnov- statistic = D- : 0.098 -p-value of test : 0.77 +Kolmogorov-Smirnov- statistic = D- : 0.074 +p-value of test : 0.86 -Anderson-Darling statistic = A2 : 0.70 -p-value of test : 0.55 +Anderson-Darling statistic = A2 : 0.45 +p-value of test : 0.80 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 41.18 -p-value of test : 0.42 +Chi-square statistic : 33.85 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:01:44.39 +CPU time used : 00:01:45.21 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 0.34 -p-value of test : 0.95 +Chi-square statistic : 8.47 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:03:32.84 +CPU time used : 00:02:57.88 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 4.10 -p-value of test : 0.25 +Chi-square statistic : 5.12 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:03:32.90 +CPU time used : 00:03:01.54 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 : 2.40 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:02:26.03 +CPU time used : 00:02:08.26 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 1.82 -p-value of test : 0.40 +Chi-square statistic : 2.36 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:01:46.23 +CPU time used : 00:01:21.55 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.73 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.68 -Kolmogorov-Smirnov- statistic = D- : 0.31 -p-value of test : 0.12 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.61 -Anderson-Darling statistic = A2 : 1.40 -p-value of test : 0.20 +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 : 130 -Chi-square statistic : 142.82 -p-value of test : 0.21 +Chi-square statistic : 130.81 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:00:59.27 +CPU time used : 00:01:06.20 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.33 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.43 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.74 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.63 -Anderson-Darling statistic = A2 : 0.96 -p-value of test : 0.37 +Anderson-Darling statistic = A2 : 0.45 +p-value of test : 0.80 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17269.61 -p-value of test : 0.80 +Chi-square statistic :17418.54 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:01:52.48 +CPU time used : 00:01:55.34 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 : 39.75 -p-value of test : 0.31 +ChiSquare statistic : 32.51 +p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 40.84 -p-value of test : 0.23 +ChiSquare statistic : 39.52 +p-value of test : 0.27 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 19.51 -p-value of test : 0.77 +ChiSquare statistic : 17.48 +p-value of test : 0.86 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 22.99 -p-value of test : 0.52 +ChiSquare statistic : 15.93 +p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 18.80 -p-value of test : 0.34 +ChiSquare statistic : 14.09 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:00:58.59 +CPU time used : 00:00:59.70 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 : 39.29 -p-value of test : 0.32 +ChiSquare statistic : 26.18 +p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 35.74 -p-value of test : 0.43 +ChiSquare statistic : 31.14 +p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 25.72 -p-value of test : 0.42 +ChiSquare statistic : 22.31 +p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 30.40 -p-value of test : 0.17 +ChiSquare statistic : 38.49 +p-value of test : 0.03 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 20.23 -p-value of test : 0.26 +ChiSquare statistic : 18.04 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:00:45.45 +CPU time used : 00:00:53.88 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 : 127.36 -p-value of test : 0.86 +ChiSquare statistic : 132.90 +p-value of test : 0.77 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 136.25 -p-value of test : 0.71 +ChiSquare statistic : 159.26 +p-value of test : 0.21 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 494.33 -p-value of test : 0.56 +ChiSquare statistic : 485.64 +p-value of test : 0.67 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 162.94 -p-value of test : 0.06 +ChiSquare statistic : 131.23 +p-value of test : 0.60 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 63.00 -p-value of test : 0.82 +ChiSquare statistic : 81.75 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:00:58.63 +CPU time used : 00:00:59.09 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 : 139.13 -p-value of test : 0.64 +ChiSquare statistic : 149.50 +p-value of test : 0.40 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 121.33 -p-value of test : 0.93 +ChiSquare statistic : 139.95 +p-value of test : 0.63 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 491.20 -p-value of test : 0.60 +ChiSquare statistic : 505.86 +p-value of test : 0.42 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 150.49 -p-value of test : 0.19 +ChiSquare statistic : 127.75 +p-value of test : 0.68 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 57.18 -p-value of test : 0.93 +ChiSquare statistic : 76.62 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:00:55.21 +CPU time used : 00:01:05.13 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 : 359.50 -p-value of test : 0.81 +ChiSquare statistic : 352.58 +p-value of test : 0.87 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 344.33 -p-value of test : 0.93 +ChiSquare statistic : 365.15 +p-value of test : 0.75 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4929.14 -p-value of test : 0.76 +ChiSquare statistic : 5014.89 +p-value of test : 0.44 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 346.18 -p-value of test : 0.88 +ChiSquare statistic : 370.07 +p-value of test : 0.60 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 177.78 -p-value of test : 0.87 +ChiSquare statistic : 187.35 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:00:45.62 +CPU time used : 00:01:04.73 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 : 366.17 -p-value of test : 0.74 +ChiSquare statistic : 386.37 +p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 387.27 -p-value of test : 0.44 +ChiSquare statistic : 396.07 +p-value of test : 0.32 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5037.25 -p-value of test : 0.35 +ChiSquare statistic : 4882.64 +p-value of test : 0.88 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 375.82 -p-value of test : 0.52 +ChiSquare statistic : 380.74 +p-value of test : 0.45 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 223.02 -p-value of test : 0.13 +ChiSquare statistic : 205.68 +p-value of test : 0.38 ----------------------------------------------- -CPU time used : 00:00:47.20 +CPU time used : 00:01:03.56 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 6.62 -p-value of test : 0.88 +Chi2 statistic for size of jumps : 11.31 +p-value of test : 0.50 ----------------------------------------------- -Normal statistic for number of jumps : 0.016 -p-value of test : 0.49 +Normal statistic for number of jumps : -0.33 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:02:23.25 +CPU time used : 00:02:42.68 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 10.99 -p-value of test : 0.53 +Chi2 statistic for size of jumps : 11.96 +p-value of test : 0.45 ----------------------------------------------- -Normal statistic for number of jumps : 0.51 -p-value of test : 0.30 +Normal statistic for number of jumps : -0.19 +p-value of test : 0.58 ----------------------------------------------- -CPU time used : 00:02:24.10 +CPU time used : 00:02:13.53 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.42 +Kolmogorov-Smirnov+ statistic = D+ : 0.23 +p-value of test : 0.31 -Kolmogorov-Smirnov- statistic = D- : 0.097 -p-value of test : 0.78 +Kolmogorov-Smirnov- statistic = D- : 0.42 +p-value of test : 0.02 -Anderson-Darling statistic = A2 : 0.75 -p-value of test : 0.52 +Anderson-Darling statistic = A2 : 2.89 +p-value of test : 0.03 Tests on the sum of all N observations -Standardized normal statistic : -1.01 -p-value of test : 0.84 +Standardized normal statistic : 0.85 +p-value of test : 0.20 -Sample variance : 1.06 -p-value of test : 0.39 +Sample variance : 2.33 +p-value of test : 0.01 ----------------------------------------------- -CPU time used : 00:00:56.50 +CPU time used : 00:00:57.85 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.62 +Kolmogorov-Smirnov+ statistic = D+ : 0.050 +p-value of test : 0.92 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.64 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.39 -Anderson-Darling statistic = A2 : 0.35 -p-value of test : 0.89 +Anderson-Darling statistic = A2 : 0.69 +p-value of test : 0.56 Tests on the sum of all N observations -Standardized normal statistic : 0.43 -p-value of test : 0.33 +Standardized normal statistic : 1.01 +p-value of test : 0.16 -Sample variance : 0.91 -p-value of test : 0.52 +Sample variance : 1.20 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:00:58.87 +CPU time used : 00:01:03.48 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 5.48e-3 -p-value of test : 0.78 +Kolmogorov-Smirnov+ statistic = D+ : 8.39e-3 +p-value of test : 0.56 -Kolmogorov-Smirnov- statistic = D- : 0.012 -p-value of test : 0.30 +Kolmogorov-Smirnov- statistic = D- : 8.00e-3 +p-value of test : 0.59 -Anderson-Darling statistic = A2 : 0.58 -p-value of test : 0.67 +Anderson-Darling statistic = A2 : 0.26 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:00:57.10 +CPU time used : 00:00:53.09 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 8.34e-3 -p-value of test : 0.56 +Kolmogorov-Smirnov+ statistic = D+ : 8.53e-3 +p-value of test : 0.55 -Kolmogorov-Smirnov- statistic = D- : 9.61e-3 -p-value of test : 0.47 +Kolmogorov-Smirnov- statistic = D- : 8.70e-3 +p-value of test : 0.53 -Anderson-Darling statistic = A2 : 0.31 -p-value of test : 0.93 +Anderson-Darling statistic = A2 : 0.33 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:00:53.45 +CPU time used : 00:00:54.44 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 10.00 -p-value of test : 0.26 +Chi-square statistic : 8.16 +p-value of test : 0.42 ----------------------------------------------- -Global longest run of 1 : 30.00 -p-value of test : 0.90 +Global longest run of 1 : 33.00 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:01:42.60 +CPU time used : 00:01:59.72 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 14.13 -p-value of test : 0.08 +Chi-square statistic : 5.88 +p-value of test : 0.66 ----------------------------------------------- -Global longest run of 1 : 30.00 -p-value of test : 0.90 +Global longest run of 1 : 35.00 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:01:40.75 +CPU time used : 00:02:02.15 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.55 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.52 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.62 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.47 -Anderson-Darling statistic = A2 : 0.33 -p-value of test : 0.92 +Anderson-Darling statistic = A2 : 0.51 +p-value of test : 0.74 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 201.43 -p-value of test : 0.46 +Chi-square statistic : 203.75 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:02:59.42 +CPU time used : 00:03:10.89 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.018 -p-value of test : 0.98 +Kolmogorov-Smirnov+ statistic = D+ : 0.36 +p-value of test : 0.06 -Kolmogorov-Smirnov- statistic = D- : 0.28 -p-value of test : 0.18 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.76 -Anderson-Darling statistic = A2 : 1.34 -p-value of test : 0.22 +Anderson-Darling statistic = A2 : 1.79 +p-value of test : 0.12 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 231.56 -p-value of test : 0.06 +Chi-square statistic : 172.52 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:02:50.37 +CPU time used : 00:03:15.96 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.59 -p-value of test : 3.3e-4 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.092 +p-value of test : 0.80 -Kolmogorov-Smirnov- statistic = D- : 0.054 -p-value of test : 0.91 +Kolmogorov-Smirnov- statistic = D- : 0.36 +p-value of test : 0.06 -Anderson-Darling statistic = A2 : 4.05 -p-value of test : 8.7e-3 +Anderson-Darling statistic = A2 : 1.36 +p-value of test : 0.21 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9666.40 -p-value of test : 0.9914 +Chi-square statistic :10125.39 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:01:12.43 +CPU time used : 00:01:15.87 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 0.15 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.67 -Kolmogorov-Smirnov- statistic = D- : 0.093 -p-value of test : 0.79 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.60 -Anderson-Darling statistic = A2 : 1.12 -p-value of test : 0.30 +Anderson-Darling statistic = A2 : 0.38 +p-value of test : 0.87 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9897.87 -p-value of test : 0.76 +Chi-square statistic :10084.40 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:01:18.02 +CPU time used : 00:01:19.12 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.71 -p-value of test : 0.24 +Normal statistic : -0.34 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:01:27.82 +CPU time used : 00:01:32.01 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.71 -p-value of test : 0.76 +Normal statistic : -1.16 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:01:24.37 +CPU time used : 00:01:23.80 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.60 -p-value of test : 0.28 +Normal statistic : 0.88 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:05:29.95 +CPU time used : 00:05:46.06 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.27 -p-value of test : 0.21 +Kolmogorov-Smirnov+ statistic = D+ : 0.040 +p-value of test : 0.94 -Kolmogorov-Smirnov- statistic = D- : 0.10 -p-value of test : 0.76 +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.24 -Anderson-Darling statistic = A2 : 1.32 -p-value of test : 0.23 +Anderson-Darling statistic = A2 : 1.16 +p-value of test : 0.28 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4805.41 -p-value of test : 0.80 +Chi-square statistic : 5025.93 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:02:12.05 +CPU time used : 00:02:29.54 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.65 +Kolmogorov-Smirnov+ statistic = D+ : 0.031 +p-value of test : 0.96 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.46 +Kolmogorov-Smirnov- statistic = D- : 0.23 +p-value of test : 0.29 -Anderson-Darling statistic = A2 : 0.41 -p-value of test : 0.84 +Anderson-Darling statistic = A2 : 0.96 +p-value of test : 0.38 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4901.72 -p-value of test : 0.45 +Chi-square statistic : 5011.02 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:02:17.72 +CPU time used : 00:02:39.59 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 : 4052.60 -p-value of test : 0.76 +Chi-square statistic : 4088.72 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:01:37.20 +CPU time used : 00:01:53.52 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 : 3988.52 -p-value of test : 0.92 +Chi-square statistic : 4226.06 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:01:41.87 +CPU time used : 00:01:56.15 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 :12033.74 -p-value of test : 0.09 +Chi-square statistic :12008.85 +p-value of test : 0.12 ----------------------------------------------- -CPU time u
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