http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/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 4d9d01a..3c3ecd7 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 @@ -1,5 +1,5 @@ # -# RNG: org.apache.commons.math4.rng.internal.source64.XorShift1024Star +# RNG: org.apache.commons.rng.internal.source64.XorShift1024Star # # Java: 1.8.0_66 # Runtime: 1.8.0_66-b17 @@ -42,11 +42,11 @@ Test Results for Delta = 1.0000 Number of degrees of freedom : 16711680 Value of the statistic : 1.67e+7 -p-value of test : 0.12 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:02:12.69 +CPU time used : 00:02:27.06 Generator state: N/A @@ -81,11 +81,11 @@ Test Results for Delta = 1.0000 Number of degrees of freedom : 16711680 Value of the statistic : 1.67e+7 -p-value of test : 0.76 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:01:35.97 +CPU time used : 00:02:19.72 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 : 1351 -p-value of test : 0.63 +Observed number of collisions : 1335 +p-value of test : 0.78 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334471 - j = 1 : 599997298 - j = 2 : 1351 + j = 0 : 131940795334455 + j = 1 : 599997330 + j = 2 : 1335 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:20.64 +CPU time used : 00:05:52.03 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 : 1363 -p-value of test : 0.51 +Observed number of collisions : 1330 +p-value of test : 0.82 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334483 - j = 1 : 599997274 - j = 2 : 1363 + j = 0 : 131940795334450 + j = 1 : 599997340 + j = 2 : 1330 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:22.63 +CPU time used : 00:04:28.70 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 : 1347 -p-value of test : 0.67 +Observed number of collisions : 1340 +p-value of test : 0.74 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334467 - j = 1 : 599997306 - j = 2 : 1347 + j = 0 : 131940795334460 + j = 1 : 599997320 + j = 2 : 1340 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:30.73 +CPU time used : 00:07:37.85 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 : 1346 -p-value of test : 0.68 +Observed number of collisions : 1375 +p-value of test : 0.39 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334466 - j = 1 : 599997308 - j = 2 : 1346 + j = 0 : 131940795334495 + j = 1 : 599997250 + j = 2 : 1375 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:52.54 +CPU time used : 00:05:07.02 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 : 1339 -p-value of test : 0.75 +Observed number of collisions : 1394 +p-value of test : 0.21 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334459 - j = 1 : 599997322 - j = 2 : 1339 + j = 0 : 131940795334514 + j = 1 : 599997212 + j = 2 : 1394 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:16.22 +CPU time used : 00:04:50.65 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 : 1412 -p-value of test : 0.10 +Observed number of collisions : 1369 +p-value of test : 0.45 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334532 - j = 1 : 599997176 - j = 2 : 1412 + j = 0 : 131940795334489 + j = 1 : 599997262 + j = 2 : 1369 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:03.73 +CPU time used : 00:04:58.98 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 : 1382 -p-value of test : 0.32 +Observed number of collisions : 1393 +p-value of test : 0.22 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334502 - j = 1 : 599997236 - j = 2 : 1382 + j = 0 : 131940795334513 + j = 1 : 599997214 + j = 2 : 1393 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:44.71 +CPU time used : 00:07:15.30 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 : 1378 -p-value of test : 0.36 +Observed number of collisions : 1379 +p-value of test : 0.35 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334498 - j = 1 : 599997244 - j = 2 : 1378 + j = 0 : 131940795334499 + j = 1 : 599997242 + j = 2 : 1379 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:53.44 +CPU time used : 00:05:14.13 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 : 1406 -p-value of test : 0.13 +Observed number of collisions : 1384 +p-value of test : 0.30 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334526 - j = 1 : 599997188 - j = 2 : 1406 + j = 0 : 131940795334504 + j = 1 : 599997232 + j = 2 : 1384 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:00.03 +CPU time used : 00:08:25.57 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 : 1326 -p-value of test : 0.85 +Observed number of collisions : 1352 +p-value of test : 0.62 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334446 - j = 1 : 599997348 - j = 2 : 1326 + j = 0 : 131940795334472 + j = 1 : 599997296 + j = 2 : 1352 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:22.67 +CPU time used : 00:05:14.23 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5441 -p-value of test : 0.39 +Total observed number : 5445 +p-value of test : 0.37 ----------------------------------------------- -CPU time used : 00:04:27.51 +CPU time used : 00:04:56.56 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4421 -p-value of test : 0.10 +Total observed number : 4286 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:01:56.13 +CPU time used : 00:02:04.52 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7257 -p-value of test : 0.76 +Total observed number : 7332 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:03:14.34 +CPU time used : 00:03:24.60 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4363 -p-value of test : 0.35 +Total observed number : 4328 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:02:22.39 +CPU time used : 00:02:27.80 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4418 -p-value of test : 0.11 +Total observed number : 4271 +p-value of test : 0.84 ----------------------------------------------- -CPU time used : 00:02:31.98 +CPU time used : 00:02:35.42 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7290 -p-value of test : 0.63 +Total observed number : 7297 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:04:00.56 +CPU time used : 00:03:58.00 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7385 -p-value of test : 0.22 +Total observed number : 7461 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:03:59.22 +CPU time used : 00:03:50.51 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7362 -p-value of test : 0.31 +Total observed number : 7363 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:04:57.60 +CPU time used : 00:04:54.59 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7264 -p-value of test : 0.74 +Total observed number : 7200 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:05:37.30 +CPU time used : 00:05:16.22 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) : 0.65 -p-value of test : 0.60 +Stat. AD on the N values (NP) : 0.50 +p-value of test : 0.75 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) : 0.83 -p-value of test : 0.46 +A2 test on the values of A2 (m-NP) : 1.00 +p-value of test : 0.36 -Test on the Nm values of W_{n,i}(mNP1): 2.98 -p-value of test : 0.03 +Test on the Nm values of W_{n,i}(mNP1): 0.33 +p-value of test : 0.91 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 948 -p-value of test : 0.06 +Number of jumps of Y : 943 +p-value of test : 0.08 -Stat. AD (mNP2) : 1.73 -p-value of test : 0.13 +Stat. AD (mNP2) : 0.42 +p-value of test : 0.83 -Stat. AD after spacings (mNP2-S) : 0.85 -p-value of test : 0.45 +Stat. AD after spacings (mNP2-S) : 0.91 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:03:14.19 +CPU time used : 00:03:14.14 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) : 1.00 +Stat. AD on the N values (NP) : 1.02 p-value of test : 0.35 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) : 1.71 -p-value of test : 0.13 +A2 test on the values of A2 (m-NP) : 1.82 +p-value of test : 0.12 -Test on the Nm values of W_{n,i}(mNP1): 1.03 -p-value of test : 0.34 +Test on the Nm values of W_{n,i}(mNP1): 0.43 +p-value of test : 0.82 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 578 -p-value of test : 0.81 +Number of jumps of Y : 604 +p-value of test : 0.44 -Stat. AD (mNP2) : 0.54 -p-value of test : 0.71 +Stat. AD (mNP2) : 1.96 +p-value of test : 0.10 -Stat. AD after spacings (mNP2-S) : 0.45 -p-value of test : 0.79 +Stat. AD after spacings (mNP2-S) : 1.10 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:02:11.25 +CPU time used : 00:02:00.80 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) : 2.45 -p-value of test : 0.05 +Stat. AD on the N values (NP) : 0.94 +p-value of test : 0.39 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 2.12 -p-value of test : 0.08 +A2 test on the values of A2 (m-NP) : 0.86 +p-value of test : 0.44 -Test on the Nm values of W_{n,i}(mNP1): 1.25 -p-value of test : 0.25 +Test on the Nm values of W_{n,i}(mNP1): 0.28 +p-value of test : 0.95 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 : 299 +p-value of test : 0.51 -Stat. AD (mNP2) : 2.77 -p-value of test : 0.04 +Stat. AD (mNP2) : 0.83 +p-value of test : 0.46 -Stat. AD after spacings (mNP2-S) : 0.87 -p-value of test : 0.44 +Stat. AD after spacings (mNP2-S) : 0.50 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:03:00.61 +CPU time used : 00:03:01.48 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) : 0.58 -p-value of test : 0.66 +Stat. AD on the N values (NP) : 0.61 +p-value of test : 0.63 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) : 0.77 -p-value of test : 0.49 +A2 test on the values of A2 (m-NP) : 1.31 +p-value of test : 0.23 -Test on the Nm values of W_{n,i}(mNP1): 1.01 -p-value of test : 0.35 +Test on the Nm values of W_{n,i}(mNP1): 0.35 +p-value of test : 0.90 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 161 -p-value of test : 0.19 +Number of jumps of Y : 151 +p-value of test : 0.48 -Stat. AD (mNP2) : 0.29 -p-value of test : 0.95 +Stat. AD (mNP2) : 0.55 +p-value of test : 0.69 -Stat. AD after spacings (mNP2-S) : 0.72 -p-value of test : 0.54 +Stat. AD after spacings (mNP2-S) : 0.75 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:03:16.10 +CPU time used : 00:03:18.52 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 0.32 -p-value of test : 0.9999 ***** +Chi-square statistic : 0.93 +p-value of test : 0.9959 ----------------------------------------------- -CPU time used : 00:01:17.28 +CPU time used : 00:01:22.42 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 10.67 -p-value of test : 0.15 +Chi-square statistic : 6.95 +p-value of test : 0.43 ----------------------------------------------- -CPU time used : 00:01:31.35 +CPU time used : 00:01:33.47 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 18.51 -p-value of test : 0.42 +Chi-square statistic : 26.02 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:01:16.51 +CPU time used : 00:01:18.51 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 20.49 -p-value of test : 0.31 +Chi-square statistic : 15.17 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:01:30.88 +CPU time used : 00:01:23.31 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 61.87 -p-value of test : 0.22 +Chi-square statistic : 39.62 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:01:42.81 +CPU time used : 00:01:30.63 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 32.45 -p-value of test : 0.9912 +Chi-square statistic : 37.45 +p-value of test : 0.96 ----------------------------------------------- -CPU time used : 00:01:56.89 +CPU time used : 00:01:48.77 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 50.89 -p-value of test : 0.59 +Chi-square statistic : 51.83 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:01:59.28 +CPU time used : 00:01:45.22 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 56.98 -p-value of test : 0.36 +Chi-square statistic : 55.25 +p-value of test : 0.43 ----------------------------------------------- -CPU time used : 00:01:57.72 +CPU time used : 00:01:56.81 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 193.95 -p-value of test : 0.97 +Chi-square statistic : 249.93 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:02:10.30 +CPU time used : 00:02:20.22 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 454.43 -p-value of test : 0.24 +Chi-square statistic : 497.21 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:02:58.42 +CPU time used : 00:03:17.05 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1476.45 -p-value of test : 0.23 +Chi-square statistic : 1363.38 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:03:08.10 +CPU time used : 00:03:31.14 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7241.10 -p-value of test : 0.05 +Chi-square statistic : 7045.15 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:03:00.22 +CPU time used : 00:03:17.30 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.35 -p-value of test : 0.25 +Kolmogorov-Smirnov+ statistic = D+ : 0.080 +p-value of test : 0.89 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.78 +Kolmogorov-Smirnov- statistic = D- : 0.45 +p-value of test : 0.10 -Anderson-Darling statistic = A2 : 0.73 -p-value of test : 0.53 +Anderson-Darling statistic = A2 : 0.96 +p-value of test : 0.37 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 22.77 -p-value of test : 0.82 +Chi-square statistic : 37.14 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:01:43.90 +CPU time used : 00:01:57.32 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.59 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.73 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.66 +Kolmogorov-Smirnov- statistic = D- : 0.61 +p-value of test : 1.9e-4 ***** -Anderson-Darling statistic = A2 : 0.41 -p-value of test : 0.84 +Anderson-Darling statistic = A2 : 4.67 +p-value of test : 4.4e-3 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 59.80 -p-value of test : 0.48 +Chi-square statistic : 81.28 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:04:09.72 +CPU time used : 00:04:46.54 Generator state: N/A @@ -1450,12 +1450,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5 -Value of the statistic : 3.62 -p-value of test : 0.61 +Value of the statistic : 1.73 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:01:10.95 +CPU time used : 00:01:15.84 Generator state: N/A @@ -1489,12 +1489,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 119 -Value of the statistic : 120.91 -p-value of test : 0.43 +Value of the statistic : 116.68 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:02:05.76 +CPU time used : 00:02:05.81 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 : 4958.56 -p-value of test : 0.79 +Value of the statistic : 5076.49 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:01:31.87 +CPU time used : 00:01:30.46 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 : 0.66 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:03:05.04 +CPU time used : 00:03:03.32 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 : 46291 -p-value of test : 0.03 +Observed number of collisions : 45613 +p-value of test : 0.89 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165870291 - j = 1 : 399907422 - j = 2 : 46283 - j = 3 : 4 + j = 0 : 1743165869613 + j = 1 : 399908776 + j = 2 : 45609 + j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:22.84 +CPU time used : 00:04:40.04 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 : 45938 -p-value of test : 0.39 +Observed number of collisions : 46002 +p-value of test : 0.28 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869938 - j = 1 : 399908127 - j = 2 : 45932 - j = 3 : 3 + j = 0 : 1743165870002 + j = 1 : 399908001 + j = 2 : 45992 + j = 3 : 5 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:47.79 +CPU time used : 00:04:26.09 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.046 -p-value of test : 0.82 +Kolmogorov-Smirnov+ statistic = D+ : 0.059 +p-value of test : 0.73 -Kolmogorov-Smirnov- statistic = D- : 0.098 -p-value of test : 0.44 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.41 -Anderson-Darling statistic = A2 : 0.55 -p-value of test : 0.69 +Anderson-Darling statistic = A2 : 0.65 +p-value of test : 0.60 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.31 +p-value of test : 0.37 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.097 -p-value of test : 0.44 +Kolmogorov-Smirnov+ statistic = D+ : 0.064 +p-value of test : 0.69 -Kolmogorov-Smirnov- statistic = D- : 0.065 -p-value of test : 0.68 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.41 -Anderson-Darling statistic = A2 : 0.63 -p-value of test : 0.61 +Anderson-Darling statistic = A2 : 0.33 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:03:24.68 +CPU time used : 00:03:20.94 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.34 +Kolmogorov-Smirnov+ statistic = D+ : 0.055 +p-value of test : 0.81 -Kolmogorov-Smirnov- statistic = D- : 0.076 -p-value of test : 0.67 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.08 -Anderson-Darling statistic = A2 : 0.50 -p-value of test : 0.75 +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 : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.63 +p-value of test : 0.11 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.21 +Kolmogorov-Smirnov+ statistic = D+ : 0.22 +p-value of test : 0.05 -Kolmogorov-Smirnov- statistic = D- : 0.081 -p-value of test : 0.64 +Kolmogorov-Smirnov- statistic = D- : 0.054 +p-value of test : 0.81 -Anderson-Darling statistic = A2 : 0.64 -p-value of test : 0.61 +Anderson-Darling statistic = A2 : 1.27 +p-value of test : 0.24 ----------------------------------------------- -CPU time used : 00:03:12.34 +CPU time used : 00:03:15.27 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.13 +Kolmogorov-Smirnov+ statistic = D+ : 0.29 +p-value of test : 0.03 -Kolmogorov-Smirnov- statistic = D- : 0.034 -p-value of test : 0.93 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.59 -Anderson-Darling statistic = A2 : 0.94 -p-value of test : 0.39 +Anderson-Darling statistic = A2 : 1.58 +p-value of test : 0.16 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.88 +p-value of test : 0.79 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.13 +Kolmogorov-Smirnov+ statistic = D+ : 0.097 +p-value of test : 0.65 -Kolmogorov-Smirnov- statistic = D- : 0.044 -p-value of test : 0.90 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.29 -Anderson-Darling statistic = A2 : 0.72 -p-value of test : 0.54 +Anderson-Darling statistic = A2 : 0.70 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:02:34.07 +CPU time used : 00:02:37.15 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.14 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.40 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.49 +Kolmogorov-Smirnov- statistic = D- : 0.094 +p-value of test : 0.66 -Anderson-Darling statistic = A2 : 0.88 -p-value of test : 0.43 +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 : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.55 +p-value of test : 0.63 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.47 +Kolmogorov-Smirnov+ statistic = D+ : 0.092 +p-value of test : 0.67 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.34 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.16 -Anderson-Darling statistic = A2 : 0.62 -p-value of test : 0.63 +Anderson-Darling statistic = A2 : 0.67 +p-value of test : 0.58 ----------------------------------------------- -CPU time used : 00:02:52.93 +CPU time used : 00:02:58.06 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.28 -p-value of test : 1.5e-3 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.12 -Kolmogorov-Smirnov- statistic = D- : 0.045 -p-value of test : 0.83 +Kolmogorov-Smirnov- statistic = D- : 0.052 +p-value of test : 0.78 -Anderson-Darling statistic = A2 : 3.36 -p-value of test : 0.02 +Anderson-Darling statistic = A2 : 1.27 +p-value of test : 0.24 ----------------------------------------------- -CPU time used : 00:02:25.71 +CPU time used : 00:02:28.75 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.20 +Kolmogorov-Smirnov+ statistic = D+ : 0.049 +p-value of test : 0.88 -Kolmogorov-Smirnov- statistic = D- : 9.32e-3 -p-value of test : 0.99 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.16 -Anderson-Darling statistic = A2 : 1.74 -p-value of test : 0.13 +Anderson-Darling statistic = A2 : 1.08 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:01:44.06 +CPU time used : 00:01:44.95 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.040 -p-value of test : 0.91 +Kolmogorov-Smirnov+ statistic = D+ : 0.073 +p-value of test : 0.77 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.50 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.63 -Anderson-Darling statistic = A2 : 0.35 -p-value of test : 0.90 +Anderson-Darling statistic = A2 : 0.26 +p-value of test : 0.96 ----------------------------------------------- -CPU time used : 00:02:13.35 +CPU time used : 00:02:20.78 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.19e-4 -p-value of test : 0.57 +Kolmogorov-Smirnov+ statistic = D+ : 2.03e-4 +p-value of test : 0.19 -Kolmogorov-Smirnov- statistic = D- : 9.42e-5 -p-value of test : 0.70 +Kolmogorov-Smirnov- statistic = D- : 6.27e-5 +p-value of test : 0.85 -Anderson-Darling statistic = A2 : 0.30 -p-value of test : 0.93 +Anderson-Darling statistic = A2 : 1.08 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:00:32.43 +CPU time used : 00:00:33.61 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.31e-4 -p-value of test : 0.50 +Kolmogorov-Smirnov+ statistic = D+ : 3.24e-4 +p-value of test : 0.01 -Kolmogorov-Smirnov- statistic = D- : 2.56e-4 -p-value of test : 0.07 +Kolmogorov-Smirnov- statistic = D- : 2.90e-5 +p-value of test : 0.97 -Anderson-Darling statistic = A2 : 1.32 -p-value of test : 0.23 +Anderson-Darling statistic = A2 : 3.28 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:00:33.90 +CPU time used : 00:00:34.27 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.69 -p-value of test : 0.75 +Normal statistic : -0.89 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:00:28.89 +CPU time used : 00:00:35.53 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.42 -p-value of test : 0.34 +Normal statistic : 0.31 +p-value of test : 0.38 ----------------------------------------------- -CPU time used : 00:00:31.28 +CPU time used : 00:00:36.11 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 0.57 -p-value of test : 0.28 +Normal statistic : 0.51 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:02:02.35 +CPU time used : 00:02:03.78 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -0.29 -p-value of test : 0.61 +Normal statistic : -1.82 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:02:10.32 +CPU time used : 00:02:10.28 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 43.47 -p-value of test : 0.99 +Chi-square statistic : 63.34 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:01:20.62 +CPU time used : 00:01:25.23 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 78.98 -p-value of test : 0.15 +Chi-square statistic : 64.96 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:01:41.59 +CPU time used : 00:01:41.78 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 66.93 -p-value of test : 0.48 +Chi-square statistic : 66.68 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:01:41.38 +CPU time used : 00:01:48.96 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 28.48 -p-value of test : 0.84 +Chi-square statistic : 39.68 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:01:22.32 +CPU time used : 00:01:26.17 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 30.46 -p-value of test : 0.77 +Chi-square statistic : 46.14 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:01:38.57 +CPU time used : 00:01:43.87 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 33.93 -p-value of test : 0.61 +Chi-square statistic : 43.47 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:01:41.54 +CPU time used : 00:01:45.87 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 33.00 -p-value of test : 0.28 +Chi-square statistic : 18.87 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:02:42.81 +CPU time used : 00:02:48.64 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.33 -p-value of test : 0.08 +Kolmogorov-Smirnov+ statistic = D+ : 0.027 +p-value of test : 0.96 -Kolmogorov-Smirnov- statistic = D- : 7.27e-3 -p-value of test : 0.9922 +Kolmogorov-Smirnov- statistic = D- : 0.30 +p-value of test : 0.14 -Anderson-Darling statistic = A2 : 2.23 -p-value of test : 0.07 +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 : 40 -Chi-square statistic : 23.85 -p-value of test : 0.98 +Chi-square statistic : 51.16 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:01:26.70 +CPU time used : 00:01:25.55 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.062 -p-value of test : 0.89 +Kolmogorov-Smirnov+ statistic = D+ : 0.22 +p-value of test : 0.33 -Kolmogorov-Smirnov- statistic = D- : 0.34 -p-value of test : 0.07 +Kolmogorov-Smirnov- statistic = D- : 0.098 +p-value of test : 0.77 -Anderson-Darling statistic = A2 : 1.34 -p-value of test : 0.22 +Anderson-Darling statistic = A2 : 0.70 +p-value of test : 0.55 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 47.76 -p-value of test : 0.19 +Chi-square statistic : 41.18 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:01:33.67 +CPU time used : 00:01:44.39 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 4.19 -p-value of test : 0.24 +Chi-square statistic : 0.34 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:02:22.57 +CPU time used : 00:03:32.84 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 2.41 -p-value of test : 0.49 +Chi-square statistic : 4.10 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:02:16.57 +CPU time used : 00:03:32.90 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 3.12 -p-value of test : 0.21 +Chi-square statistic : 0.78 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:01:32.73 +CPU time used : 00:02:26.03 Generator state: N/A @@ -2472,7 +2472,7 @@ Chi-square statistic : 1.82 p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:01:17.47 +CPU time used : 00:01:46.23 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.018 -p-value of test : 0.98 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.73 -Kolmogorov-Smirnov- statistic = D- : 0.51 -p-value of test : 2.8e-3 +Kolmogorov-Smirnov- statistic = D- : 0.31 +p-value of test : 0.12 -Anderson-Darling statistic = A2 : 3.57 -p-value of test : 0.01 +Anderson-Darling statistic = A2 : 1.40 +p-value of test : 0.20 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 165.44 -p-value of test : 0.02 +Chi-square statistic : 142.82 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:01:01.79 +CPU time used : 00:00:59.27 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.083 -p-value of test : 0.83 +Kolmogorov-Smirnov+ statistic = D+ : 0.22 +p-value of test : 0.33 -Kolmogorov-Smirnov- statistic = D- : 0.37 -p-value of test : 0.05 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.74 -Anderson-Darling statistic = A2 : 1.37 -p-value of test : 0.21 +Anderson-Darling statistic = A2 : 0.96 +p-value of test : 0.37 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17681.10 -p-value of test : 0.09 +Chi-square statistic :17269.61 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:01:55.61 +CPU time used : 00:01:52.48 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 : 29.42 -p-value of test : 0.77 +ChiSquare statistic : 39.75 +p-value of test : 0.31 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 37.42 -p-value of test : 0.36 +ChiSquare statistic : 40.84 +p-value of test : 0.23 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 22.81 -p-value of test : 0.59 +ChiSquare statistic : 19.51 +p-value of test : 0.77 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 13.86 -p-value of test : 0.95 +ChiSquare statistic : 22.99 +p-value of test : 0.52 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 14.86 -p-value of test : 0.61 +ChiSquare statistic : 18.80 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:00:50.87 +CPU time used : 00:00:58.59 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 : 31.02 -p-value of test : 0.70 +ChiSquare statistic : 39.29 +p-value of test : 0.32 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 26.18 -p-value of test : 0.86 +ChiSquare statistic : 35.74 +p-value of test : 0.43 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 32.19 -p-value of test : 0.15 +ChiSquare statistic : 25.72 +p-value of test : 0.42 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 29.36 -p-value of test : 0.21 +ChiSquare statistic : 30.40 +p-value of test : 0.17 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 16.10 -p-value of test : 0.52 +ChiSquare statistic : 20.23 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:00:52.06 +CPU time used : 00:00:45.45 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 : 140.98 -p-value of test : 0.60 +ChiSquare statistic : 127.36 +p-value of test : 0.86 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 145.85 -p-value of test : 0.49 +ChiSquare statistic : 136.25 +p-value of test : 0.71 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 488.81 -p-value of test : 0.63 +ChiSquare statistic : 494.33 +p-value of test : 0.56 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 125.51 -p-value of test : 0.73 +ChiSquare statistic : 162.94 +p-value of test : 0.06 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 92.01 -p-value of test : 0.08 +ChiSquare statistic : 63.00 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:00:59.93 +CPU time used : 00:00:58.63 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 : 158.78 -p-value of test : 0.22 +ChiSquare statistic : 139.13 +p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 162.06 -p-value of test : 0.17 +ChiSquare statistic : 121.33 +p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 514.96 -p-value of test : 0.31 +ChiSquare statistic : 491.20 +p-value of test : 0.60 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 113.03 -p-value of test : 0.92 +ChiSquare statistic : 150.49 +p-value of test : 0.19 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 76.39 -p-value of test : 0.40 +ChiSquare statistic : 57.18 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:00:58.37 +CPU time used : 00:00:55.21 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 : 476.81 -p-value of test : 8.6e-4 ***** +ChiSquare statistic : 359.50 +p-value of test : 0.81 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 360.01 -p-value of test : 0.81 +ChiSquare statistic : 344.33 +p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5095.55 -p-value of test : 0.17 +ChiSquare statistic : 4929.14 +p-value of test : 0.76 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 389.90 -p-value of test : 0.33 +ChiSquare statistic : 346.18 +p-value of test : 0.88 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 191.48 -p-value of test : 0.65 +ChiSquare statistic : 177.78 +p-value of test : 0.87 ----------------------------------------------- -CPU time used : 00:00:49.17 +CPU time used : 00:00:45.62 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 : 412.32 -p-value of test : 0.15 +ChiSquare statistic : 366.17 +p-value of test : 0.74 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 376.91 -p-value of test : 0.59 +ChiSquare statistic : 387.27 +p-value of test : 0.44 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4896.52 -p-value of test : 0.85 +ChiSquare statistic : 5037.25 +p-value of test : 0.35 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 404.35 -p-value of test : 0.17 +ChiSquare statistic : 375.82 +p-value of test : 0.52 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 191.43 -p-value of test : 0.66 +ChiSquare statistic : 223.02 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:00:47.71 +CPU time used : 00:00:47.20 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 19.82 -p-value of test : 0.07 +Chi2 statistic for size of jumps : 6.62 +p-value of test : 0.88 ----------------------------------------------- -Normal statistic for number of jumps : 2.80 -p-value of test : 2.6e-3 +Normal statistic for number of jumps : 0.016 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:02:23.35 +CPU time used : 00:02:23.25 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 18.32 -p-value of test : 0.11 +Chi2 statistic for size of jumps : 10.99 +p-value of test : 0.53 ----------------------------------------------- -Normal statistic for number of jumps : -0.46 -p-value of test : 0.68 +Normal statistic for number of jumps : 0.51 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:02:24.12 +CPU time used : 00:02:24.10 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.10 -p-value of test : 0.76 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.42 -Kolmogorov-Smirnov- statistic = D- : 0.35 -p-value of test : 0.06 +Kolmogorov-Smirnov- statistic = D- : 0.097 +p-value of test : 0.78 -Anderson-Darling statistic = A2 : 1.77 -p-value of test : 0.12 +Anderson-Darling statistic = A2 : 0.75 +p-value of test : 0.52 Tests on the sum of all N observations -Standardized normal statistic : 1.40 -p-value of test : 0.08 +Standardized normal statistic : -1.01 +p-value of test : 0.84 -Sample variance : 0.75 -p-value of test : 0.67 +Sample variance : 1.06 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:01:00.18 +CPU time used : 00:00:56.50 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.44 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.62 -Kolmogorov-Smirnov- statistic = D- : 0.065 -p-value of test : 0.88 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.64 -Anderson-Darling statistic = A2 : 0.56 -p-value of test : 0.69 +Anderson-Darling statistic = A2 : 0.35 +p-value of test : 0.89 Tests on the sum of all N observations -Standardized normal statistic : -0.78 -p-value of test : 0.78 +Standardized normal statistic : 0.43 +p-value of test : 0.33 -Sample variance : 0.92 -p-value of test : 0.51 +Sample variance : 0.91 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:01:06.23 +CPU time used : 00:00:58.87 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.010 -p-value of test : 0.43 +Kolmogorov-Smirnov+ statistic = D+ : 5.48e-3 +p-value of test : 0.78 -Kolmogorov-Smirnov- statistic = D- : 4.09e-3 -p-value of test : 0.87 +Kolmogorov-Smirnov- statistic = D- : 0.012 +p-value of test : 0.30 -Anderson-Darling statistic = A2 : 0.68 -p-value of test : 0.58 +Anderson-Darling statistic = A2 : 0.58 +p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:00:47.78 +CPU time used : 00:00:57.10 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 8.32e-3 +Kolmogorov-Smirnov+ statistic = D+ : 8.34e-3 p-value of test : 0.56 -Kolmogorov-Smirnov- statistic = D- : 5.56e-3 -p-value of test : 0.77 +Kolmogorov-Smirnov- statistic = D- : 9.61e-3 +p-value of test : 0.47 -Anderson-Darling statistic = A2 : 0.29 -p-value of test : 0.95 +Anderson-Darling statistic = A2 : 0.31 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:00:47.13 +CPU time used : 00:00:53.45 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 9.30 -p-value of test : 0.32 +Chi-square statistic : 10.00 +p-value of test : 0.26 ----------------------------------------------- -Global longest run of 1 : 32.00 -p-value of test : 0.50 +Global longest run of 1 : 30.00 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:01:41.18 +CPU time used : 00:01:42.60 Generator state: N/A @@ -3153,8 +3153,8 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 10.47 -p-value of test : 0.23 +Chi-square statistic : 14.13 +p-value of test : 0.08 ----------------------------------------------- Global longest run of 1 : 30.00 @@ -3163,7 +3163,7 @@ p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:01:43.10 +CPU time used : 00:01:40.75 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.30 -p-value of test : 0.13 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.55 -Kolmogorov-Smirnov- statistic = D- : 0.10 -p-value of test : 0.76 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.62 -Anderson-Darling statistic = A2 : 1.45 -p-value of test : 0.19 +Anderson-Darling statistic = A2 : 0.33 +p-value of test : 0.92 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 173.14 -p-value of test : 0.92 +Chi-square statistic : 201.43 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:02:47.20 +CPU time used : 00:02:59.42 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.048 -p-value of test : 0.93 +Kolmogorov-Smirnov+ statistic = D+ : 0.018 +p-value of test : 0.98 -Kolmogorov-Smirnov- statistic = D- : 0.31 -p-value of test : 0.11 +Kolmogorov-Smirnov- statistic = D- : 0.28 +p-value of test : 0.18 -Anderson-Darling statistic = A2 : 2.44 -p-value of test : 0.05 +Anderson-Darling statistic = A2 : 1.34 +p-value of test : 0.22 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 243.67 -p-value of test : 0.02 +Chi-square statistic : 231.56 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:02:49.40 +CPU time used : 00:02:50.37 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.34 -p-value of test : 0.08 +Kolmogorov-Smirnov+ statistic = D+ : 0.59 +p-value of test : 3.3e-4 ***** -Kolmogorov-Smirnov- statistic = D- : 0.014 -p-value of test : 0.98 +Kolmogorov-Smirnov- statistic = D- : 0.054 +p-value of test : 0.91 -Anderson-Darling statistic = A2 : 1.73 -p-value of test : 0.13 +Anderson-Darling statistic = A2 : 4.05 +p-value of test : 8.7e-3 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9755.01 -p-value of test : 0.96 +Chi-square statistic : 9666.40 +p-value of test : 0.9914 ----------------------------------------------- -CPU time used : 00:01:05.84 +CPU time used : 00:01:12.43 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.089 -p-value of test : 0.81 +Kolmogorov-Smirnov+ statistic = D+ : 0.29 +p-value of test : 0.15 -Kolmogorov-Smirnov- statistic = D- : 0.40 -p-value of test : 0.03 +Kolmogorov-Smirnov- statistic = D- : 0.093 +p-value of test : 0.79 -Anderson-Darling statistic = A2 : 2.00 -p-value of test : 0.09 +Anderson-Darling statistic = A2 : 1.12 +p-value of test : 0.30 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10219.87 -p-value of test : 0.06 +Chi-square statistic : 9897.87 +p-value of test : 0.76 ----------------------------------------------- -CPU time used : 00:01:06.29 +CPU time used : 00:01:18.02 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.47 -p-value of test : 0.32 +Normal statistic : 0.71 +p-value of test : 0.24 ----------------------------------------------- -CPU time used : 00:01:21.62 +CPU time used : 00:01:27.82 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.40 -p-value of test : 0.66 +Normal statistic : -0.71 +p-value of test : 0.76 ----------------------------------------------- -CPU time used : 00:01:19.22 +CPU time used : 00:01:24.37 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.57 +Normal statistic : 0.60 p-value of test : 0.28 ----------------------------------------------- -CPU time used : 00:05:13.55 +CPU time used : 00:05:29.95 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.52 +Kolmogorov-Smirnov+ statistic = D+ : 0.27 +p-value of test : 0.21 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.51 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.76 -Anderson-Darling statistic = A2 : 0.44 -p-value of test : 0.81 +Anderson-Darling statistic = A2 : 1.32 +p-value of test : 0.23 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4866.90 -p-value of test : 0.59 +Chi-square statistic : 4805.41 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:02:09.53 +CPU time used : 00:02:12.05 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.42 -p-value of test : 0.02 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.65 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.67 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.46 -Anderson-Darling statistic = A2 : 2.27 -p-value of test : 0.07 +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 : 4890 -Chi-square statistic : 4778.52 -p-value of test : 0.87 +Chi-square statistic : 4901.72 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:02:14.78 +CPU time used : 00:02:17.72 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 : 4082.68 -p-value of test : 0.65 +Chi-square statistic : 4052.60 +p-value of test : 0.76 ----------------------------------------------- -CPU time used : 00:01:35.68 +CPU time used : 00:01:37.20 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 : 4075.73 -p-value of test : 0.67 +Chi-square statistic : 3988.52 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:01:38.69 +CPU time used : 00:01:41.87 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 :11730.94 -p-value of test : 0.73 +Chi-square statistic :12033.74 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:01:45.01 +CPU time used : 00:01:48.46 Generator state: N/A @@ -3549,11 +3549,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 -Chi-square statistic :11627.85 -p-value of test : 0.90 +Ch
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