http://git-wip-us.apache.org/repos/asf/commons-rng/blob/a61e17b9/src/site/resources/txt/userguide/stress/tu/run_1/tu_5 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_1/tu_5 b/src/site/resources/txt/userguide/stress/tu/run_1/tu_5 index b2c6e8f..058a2c8 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_1/tu_5 +++ b/src/site/resources/txt/userguide/stress/tu/run_1/tu_5 @@ -1,9 +1,9 @@ # -# RNG: org.apache.commons.rng.internal.source32.Well19937a +# RNG: org.apache.commons.rng.core.source32.Well19937a # -# 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 : 0.55 +p-value of test : 0.43 ----------------------------------------------- -CPU time used : 00:02:50.65 +CPU time used : 00:02:37.49 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 : 0.36 ----------------------------------------------- -CPU time used : 00:02:35.56 +CPU time used : 00:02:30.54 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 : 1304 -p-value of test : 0.95 +Observed number of collisions : 1419 +p-value of test : 0.07 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334424 - j = 1 : 599997392 - j = 2 : 1304 + j = 0 : 131940795334539 + j = 1 : 599997162 + j = 2 : 1419 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:23.55 +CPU time used : 00:06:07.23 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 : 1390 -p-value of test : 0.25 +Observed number of collisions : 1391 +p-value of test : 0.24 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334510 - j = 1 : 599997220 - j = 2 : 1390 + j = 0 : 131940795334511 + j = 1 : 599997218 + j = 2 : 1391 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:12.76 +CPU time used : 00:06:42.83 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 : 1338 -p-value of test : 0.76 +Observed number of collisions : 1393 +p-value of test : 0.22 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334458 - j = 1 : 599997324 - j = 2 : 1338 + j = 0 : 131940795334513 + j = 1 : 599997214 + j = 2 : 1393 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:01.79 +CPU time used : 00:09:27.49 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 : 1379 -p-value of test : 0.35 +Observed number of collisions : 1406 +p-value of test : 0.13 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334499 - j = 1 : 599997242 - j = 2 : 1379 + j = 0 : 131940795334526 + j = 1 : 599997188 + j = 2 : 1406 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:07.92 +CPU time used : 00:09:38.51 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 : 1374 -p-value of test : 0.40 +Observed number of collisions : 1347 +p-value of test : 0.67 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334494 - j = 1 : 599997252 - j = 2 : 1374 + j = 0 : 131940795334467 + j = 1 : 599997306 + j = 2 : 1347 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:11.11 +CPU time used : 00:09:47.42 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 : 1432 -p-value of test : 0.04 +Observed number of collisions : 1387 +p-value of test : 0.27 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334552 - j = 1 : 599997136 - j = 2 : 1432 + j = 0 : 131940795334507 + j = 1 : 599997226 + j = 2 : 1387 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:36.15 +CPU time used : 00:09:35.23 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 : 1412 -p-value of test : 0.10 +Observed number of collisions : 1444 +p-value of test : 0.02 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334532 - j = 1 : 599997176 - j = 2 : 1412 + j = 0 : 131940795334564 + j = 1 : 599997112 + j = 2 : 1444 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:06.53 +CPU time used : 00:09:42.13 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 : 1317 +Observed number of collisions : 1316 p-value of test : 0.90 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334437 - j = 1 : 599997366 - j = 2 : 1317 + j = 0 : 131940795334436 + j = 1 : 599997368 + j = 2 : 1316 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:10.64 +CPU time used : 00:09:46.06 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 : 1402 -p-value of test : 0.16 +Observed number of collisions : 1340 +p-value of test : 0.74 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334522 - j = 1 : 599997196 - j = 2 : 1402 + j = 0 : 131940795334460 + j = 1 : 599997320 + j = 2 : 1340 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:45.81 +CPU time used : 00:09:31.18 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 : 1316 -p-value of test : 0.90 +Observed number of collisions : 1335 +p-value of test : 0.78 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334436 - j = 1 : 599997368 - j = 2 : 1316 + j = 0 : 131940795334455 + j = 1 : 599997330 + j = 2 : 1335 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:35.56 +CPU time used : 00:09:14.76 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5355 -p-value of test : 0.81 +Total observed number : 5351 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:05:38.52 +CPU time used : 00:05:30.82 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4343 -p-value of test : 0.46 +Total observed number : 4414 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:02:29.59 +CPU time used : 00:02:26.80 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7403 -p-value of test : 0.16 +Total observed number : 7378 +p-value of test : 0.24 ----------------------------------------------- -CPU time used : 00:04:14.07 +CPU time used : 00:04:08.51 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4367 -p-value of test : 0.33 +Total observed number : 4396 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:03:09.27 +CPU time used : 00:03:04.06 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4315 -p-value of test : 0.63 +Total observed number : 4359 +p-value of test : 0.37 ----------------------------------------------- -CPU time used : 00:03:20.10 +CPU time used : 00:03:17.82 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7326 -p-value of test : 0.47 +Total observed number : 7224 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:05:20.71 +CPU time used : 00:05:16.32 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7275 -p-value of test : 0.69 +Total observed number : 7236 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:05:22.73 +CPU time used : 00:05:18.02 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7318 -p-value of test : 0.50 +Total observed number : 7238 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:06:55.43 +CPU time used : 00:06:52.57 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7338 -p-value of test : 0.41 +Total observed number : 7403 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:07:38.90 +CPU time used : 00:07:38.21 Generator state: N/A @@ -887,34 +887,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 1.45 -p-value of test : 0.19 +Stat. AD on the N values (NP) : 0.78 +p-value of test : 0.50 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) : 0.98 +p-value of test : 0.37 -Test on the Nm values of W_{n,i}(mNP1): 0.69 -p-value of test : 0.57 +Test on the Nm values of W_{n,i}(mNP1): 0.59 +p-value of test : 0.66 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 933 -p-value of test : 0.14 - -Stat. AD (mNP2) : 0.94 -p-value of test : 0.39 +Number of jumps of Y : 881 +p-value of test : 0.73 -Stat. AD after spacings (mNP2-S) : 1.82 +Stat. AD (mNP2) : 1.78 p-value of test : 0.12 +Stat. AD after spacings (mNP2-S) : 0.34 +p-value of test : 0.91 + ----------------------------------------------- -CPU time used : 00:04:50.40 +CPU time used : 00:04:37.82 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) : 1.12 -p-value of test : 0.30 +Stat. AD on the N values (NP) : 2.25 +p-value of test : 0.07 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) : 0.74 -p-value of test : 0.53 +A2 test on the values of A2 (m-NP) : 0.71 +p-value of test : 0.55 -Test on the Nm values of W_{n,i}(mNP1): 0.46 -p-value of test : 0.79 +Test on the Nm values of W_{n,i}(mNP1): 0.99 +p-value of test : 0.36 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 617 -p-value of test : 0.25 +Number of jumps of Y : 598 +p-value of test : 0.52 -Stat. AD (mNP2) : 1.19 -p-value of test : 0.27 +Stat. AD (mNP2) : 1.41 +p-value of test : 0.20 -Stat. AD after spacings (mNP2-S) : 0.92 -p-value of test : 0.40 +Stat. AD after spacings (mNP2-S) : 1.98 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:03:07.45 +CPU time used : 00:03:09.04 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) : 0.99 -p-value of test : 0.36 +Stat. AD on the N values (NP) : 1.12 +p-value of test : 0.30 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) : 0.52 -p-value of test : 0.73 +A2 test on the values of A2 (m-NP) : 1.60 +p-value of test : 0.15 -Test on the Nm values of W_{n,i}(mNP1): 0.91 -p-value of test : 0.41 +Test on the Nm values of W_{n,i}(mNP1): 0.64 +p-value of test : 0.61 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 310 -p-value of test : 0.29 +Number of jumps of Y : 299 +p-value of test : 0.51 -Stat. AD (mNP2) : 0.63 -p-value of test : 0.62 +Stat. AD (mNP2) : 1.36 +p-value of test : 0.21 -Stat. AD after spacings (mNP2-S) : 0.56 -p-value of test : 0.69 +Stat. AD after spacings (mNP2-S) : 0.38 +p-value of test : 0.87 ----------------------------------------------- -CPU time used : 00:04:25.13 +CPU time used : 00:04:06.03 Generator state: N/A @@ -1031,34 +1031,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 1.18 -p-value of test : 0.27 +Stat. AD on the N values (NP) : 0.86 +p-value of test : 0.43 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 3.05 -p-value of test : 0.03 +A2 test on the values of A2 (m-NP) : 0.79 +p-value of test : 0.48 -Test on the Nm values of W_{n,i}(mNP1): 0.24 -p-value of test : 0.98 +Test on the Nm values of W_{n,i}(mNP1): 0.93 +p-value of test : 0.40 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 148 -p-value of test : 0.54 +Number of jumps of Y : 161 +p-value of test : 0.19 -Stat. AD (mNP2) : 1.13 -p-value of test : 0.30 +Stat. AD (mNP2) : 1.59 +p-value of test : 0.16 -Stat. AD after spacings (mNP2-S) : 0.47 -p-value of test : 0.78 +Stat. AD after spacings (mNP2-S) : 1.45 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:04:36.97 +CPU time used : 00:04:21.78 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 3.54 -p-value of test : 0.83 +Chi-square statistic : 7.13 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:01:43.54 +CPU time used : 00:01:42.54 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 4.55 -p-value of test : 0.71 +Chi-square statistic : 6.02 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:02:00.98 +CPU time used : 00:01:59.52 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 19.58 -p-value of test : 0.36 +Chi-square statistic : 15.90 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:01:39.19 +CPU time used : 00:01:39.45 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 32.18 -p-value of test : 0.02 +Chi-square statistic : 11.63 +p-value of test : 0.87 ----------------------------------------------- -CPU time used : 00:01:57.12 +CPU time used : 00:01:55.28 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 46.65 -p-value of test : 0.75 +Chi-square statistic : 71.22 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:02:09.50 +CPU time used : 00:02:09.20 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 41.50 -p-value of test : 0.89 +Chi-square statistic : 38.06 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:02:30.12 +CPU time used : 00:02:31.55 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 63.04 -p-value of test : 0.19 +Chi-square statistic : 53.97 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:02:27.84 +CPU time used : 00:02:31.79 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 59.31 -p-value of test : 0.29 +Chi-square statistic : 74.45 +p-value of test : 0.03 ----------------------------------------------- -CPU time used : 00:02:24.46 +CPU time used : 00:02:32.01 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 201.21 -p-value of test : 0.93 +Chi-square statistic : 246.50 +p-value of test : 0.24 ----------------------------------------------- -CPU time used : 00:02:49.78 +CPU time used : 00:02:57.06 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 394.89 -p-value of test : 0.91 +Chi-square statistic : 467.30 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:04:00.67 +CPU time used : 00:04:12.20 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1548.08 -p-value of test : 0.02 +Chi-square statistic : 1467.14 +p-value of test : 0.28 ----------------------------------------------- -CPU time used : 00:04:14.82 +CPU time used : 00:04:15.11 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7106.78 -p-value of test : 0.30 +Chi-square statistic : 7095.75 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:04:12.70 +CPU time used : 00:04:12.13 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.74 +Kolmogorov-Smirnov+ statistic = D+ : 0.36 +p-value of test : 0.22 -Kolmogorov-Smirnov- statistic = D- : 0.37 -p-value of test : 0.20 +Kolmogorov-Smirnov- statistic = D- : 0.33 +p-value of test : 0.27 -Anderson-Darling statistic = A2 : 0.63 -p-value of test : 0.61 +Anderson-Darling statistic = A2 : 0.80 +p-value of test : 0.47 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 33.51 -p-value of test : 0.30 +Chi-square statistic : 27.10 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:02:06.98 +CPU time used : 00:02:07.26 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.31 -p-value of test : 0.11 +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.41 -Kolmogorov-Smirnov- statistic = D- : 0.018 -p-value of test : 0.98 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.73 -Anderson-Darling statistic = A2 : 1.29 -p-value of test : 0.24 +Anderson-Darling statistic = A2 : 0.50 +p-value of test : 0.74 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 46.37 -p-value of test : 0.90 +Chi-square statistic : 57.79 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:05:01.20 +CPU time used : 00:05:02.76 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 : 6.28 -p-value of test : 0.28 +Value of the statistic : 2.26 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:01:32.53 +CPU time used : 00:01:32.13 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 : 111.22 -p-value of test : 0.68 +Value of the statistic : 123.61 +p-value of test : 0.37 ----------------------------------------------- -CPU time used : 00:02:37.89 +CPU time used : 00:02:38.59 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 : 5083.36 -p-value of test : 0.33 +Value of the statistic : 4972.09 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:01:59.37 +CPU time used : 00:02:00.31 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 : 0.13 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:04:01.27 +CPU time used : 00:03:54.37 Generator state: N/A @@ -1607,22 +1607,22 @@ Test Results for Collisions For the total number of collisions, we use the Poisson approximation: Expected number of collisions = N*Mu : 45879.47 -Observed number of collisions : 45729 -p-value of test : 0.76 +Observed number of collisions : 45533 +p-value of test : 0.95 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869729 - j = 1 : 399908546 - j = 2 : 45721 + j = 0 : 1743165869533 + j = 1 : 399908938 + j = 2 : 45525 j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:31.86 +CPU time used : 00:05:16.73 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 : 45886 -p-value of test : 0.49 +Observed number of collisions : 45872 +p-value of test : 0.51 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869886 - j = 1 : 399908236 + j = 0 : 1743165869872 + j = 1 : 399908257 j = 2 : 45870 - j = 3 : 8 + j = 3 : 1 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:17.93 +CPU time used : 00:06:25.79 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.026 -p-value of test : 0.93 +Kolmogorov-Smirnov+ statistic = D+ : 0.050 +p-value of test : 0.79 -Kolmogorov-Smirnov- statistic = D- : 0.094 -p-value of test : 0.46 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.41 -Anderson-Darling statistic = A2 : 0.57 -p-value of test : 0.68 +Anderson-Darling statistic = A2 : 0.60 +p-value of test : 0.64 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.21 +p-value of test : 0.19 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.046 -p-value of test : 0.82 +Kolmogorov-Smirnov+ statistic = D+ : 0.079 +p-value of test : 0.57 -Kolmogorov-Smirnov- statistic = D- : 0.097 -p-value of test : 0.44 +Kolmogorov-Smirnov- statistic = D- : 0.078 +p-value of test : 0.59 -Anderson-Darling statistic = A2 : 0.39 -p-value of test : 0.86 +Anderson-Darling statistic = A2 : 0.56 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:04:21.01 +CPU time used : 00:05:10.42 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.060 -p-value of test : 0.77 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.15 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.13 +Kolmogorov-Smirnov- statistic = D- : 0.026 +p-value of test : 0.95 -Anderson-Darling statistic = A2 : 0.83 -p-value of test : 0.46 +Anderson-Darling statistic = A2 : 1.93 +p-value of test : 0.10 Test on the sum of all N observations Number of degrees of freedom : 2999970 -Chi-square statistic : 3.00e+6 -p-value of test : 0.16 +Chi-square statistic : 2.99e+6 +p-value of test : 0.98 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.22 +Kolmogorov-Smirnov+ statistic = D+ : 0.091 +p-value of test : 0.58 -Kolmogorov-Smirnov- statistic = D- : 0.022 -p-value of test : 0.96 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.41 -Anderson-Darling statistic = A2 : 1.10 -p-value of test : 0.31 +Anderson-Darling statistic = A2 : 0.45 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:04:04.51 +CPU time used : 00:04:40.45 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.021 -p-value of test : 0.97 +Kolmogorov-Smirnov+ statistic = D+ : 0.059 +p-value of test : 0.84 -Kolmogorov-Smirnov- statistic = D- : 0.28 -p-value of test : 0.04 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.48 -Anderson-Darling statistic = A2 : 2.64 -p-value of test : 0.04 +Anderson-Darling statistic = A2 : 0.44 +p-value of test : 0.81 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.02 +p-value of test : 0.21 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.26 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.37 -Kolmogorov-Smirnov- statistic = D- : 0.055 -p-value of test : 0.86 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.25 -Anderson-Darling statistic = A2 : 1.02 -p-value of test : 0.34 +Anderson-Darling statistic = A2 : 0.71 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:03:11.54 +CPU time used : 00:03:37.52 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.069 -p-value of test : 0.79 +Kolmogorov-Smirnov+ statistic = D+ : 0.039 +p-value of test : 0.92 -Kolmogorov-Smirnov- statistic = D- : 0.087 -p-value of test : 0.70 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.42 -Anderson-Darling statistic = A2 : 0.16 -p-value of test : 0.9982 +Anderson-Darling statistic = A2 : 0.28 +p-value of test : 0.95 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.45 +p-value of test : 0.30 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.45 +p-value of test : 0.46 -Kolmogorov-Smirnov- statistic = D- : 0.083 -p-value of test : 0.72 +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.13 -Anderson-Darling statistic = A2 : 0.42 -p-value of test : 0.82 +Anderson-Darling statistic = A2 : 0.88 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:03:38.86 +CPU time used : 00:04:07.14 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.065 -p-value of test : 0.68 +Kolmogorov-Smirnov+ statistic = D+ : 0.080 +p-value of test : 0.57 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.25 +Kolmogorov-Smirnov- statistic = D- : 0.096 +p-value of test : 0.45 -Anderson-Darling statistic = A2 : 0.92 -p-value of test : 0.40 +Anderson-Darling statistic = A2 : 0.35 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:03:10.95 +CPU time used : 00:04:28.62 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.037 -p-value of test : 0.93 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.38 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.46 +Kolmogorov-Smirnov- statistic = D- : 0.097 +p-value of test : 0.64 -Anderson-Darling statistic = A2 : 0.53 -p-value of test : 0.71 +Anderson-Darling statistic = A2 : 0.76 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:02:15.87 +CPU time used : 00:02:52.97 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.063 -p-value of test : 0.82 - -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.49 +Kolmogorov-Smirnov+ statistic = D+ : 0.27 +p-value of test : 0.05 -Anderson-Darling statistic = A2 : 0.28 +Kolmogorov-Smirnov- statistic = D- : 0.023 p-value of test : 0.96 +Anderson-Darling statistic = A2 : 1.75 +p-value of test : 0.13 + ----------------------------------------------- -CPU time used : 00:02:52.90 +CPU time used : 00:03:32.60 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.71e-4 -p-value of test : 0.31 +Kolmogorov-Smirnov+ statistic = D+ : 1.22e-4 +p-value of test : 0.55 -Kolmogorov-Smirnov- statistic = D- : 5.75e-5 -p-value of test : 0.88 +Kolmogorov-Smirnov- statistic = D- : 1.53e-4 +p-value of test : 0.39 -Anderson-Darling statistic = A2 : 1.31 -p-value of test : 0.23 +Anderson-Darling statistic = A2 : 0.74 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:00:40.70 +CPU time used : 00:00:45.25 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 2.00e-4 -p-value of test : 0.20 +Kolmogorov-Smirnov+ statistic = D+ : 1.14e-4 +p-value of test : 0.60 -Kolmogorov-Smirnov- statistic = D- : 1.17e-4 -p-value of test : 0.58 +Kolmogorov-Smirnov- statistic = D- : 1.92e-4 +p-value of test : 0.23 -Anderson-Darling statistic = A2 : 1.09 -p-value of test : 0.31 +Anderson-Darling statistic = A2 : 0.91 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:00:43.75 +CPU time used : 00:00:47.82 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.22 -p-value of test : 0.41 +Normal statistic : 0.39 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:00:47.37 +CPU time used : 00:00:46.92 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.29 -p-value of test : 0.61 +Normal statistic : 0.38 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:00:47.27 +CPU time used : 00:00:46.84 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 0.64 -p-value of test : 0.26 +Normal statistic : -0.094 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:02:37.10 +CPU time used : 00:03:20.11 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -0.11 -p-value of test : 0.54 +Normal statistic : -1.60 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:02:42.45 +CPU time used : 00:03:27.67 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 70.77 -p-value of test : 0.35 +Chi-square statistic : 64.79 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:01:51.27 +CPU time used : 00:01:48.34 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 74.95 -p-value of test : 0.24 +Chi-square statistic : 53.55 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:02:11.53 +CPU time used : 00:02:09.85 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 37.63 -p-value of test : 0.9986 +Chi-square statistic : 57.27 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:02:12.48 +CPU time used : 00:02:10.80 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 23.83 -p-value of test : 0.95 +Chi-square statistic : 47.46 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:01:49.90 +CPU time used : 00:01:47.19 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 50.42 -p-value of test : 0.07 +Chi-square statistic : 32.16 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:02:11.55 +CPU time used : 00:02:08.30 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 42.68 -p-value of test : 0.24 +Chi-square statistic : 24.51 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:02:11.78 +CPU time used : 00:02:09.50 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 28.97 -p-value of test : 0.47 +Chi-square statistic : 31.20 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:03:33.94 +CPU time used : 00:03:30.79 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.24 -p-value of test : 0.27 +Kolmogorov-Smirnov+ statistic = D+ : 0.079 +p-value of test : 0.84 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.75 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.48 -Anderson-Darling statistic = A2 : 0.42 -p-value of test : 0.82 +Anderson-Darling statistic = A2 : 0.39 +p-value of test : 0.85 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 37.91 -p-value of test : 0.56 +Chi-square statistic : 42.57 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:01:54.87 +CPU time used : 00:01:54.84 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.58 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.73 -Kolmogorov-Smirnov- statistic = D- : 0.27 -p-value of test : 0.20 +Kolmogorov-Smirnov- statistic = D- : 0.26 +p-value of test : 0.23 -Anderson-Darling statistic = A2 : 0.83 -p-value of test : 0.45 +Anderson-Darling statistic = A2 : 0.61 +p-value of test : 0.63 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 41.55 -p-value of test : 0.40 +Chi-square statistic : 45.72 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:01:55.35 +CPU time used : 00:01:54.86 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 1.54 -p-value of test : 0.67 +Chi-square statistic : 0.84 +p-value of test : 0.84 ----------------------------------------------- -CPU time used : 00:03:13.56 +CPU time used : 00:03:11.56 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 0.37 -p-value of test : 0.95 +Chi-square statistic : 3.71 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:03:13.38 +CPU time used : 00:03:13.54 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.42 -p-value of test : 0.81 +Chi-square statistic : 0.85 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:02:12.05 +CPU time used : 00:02:13.95 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 7.18 -p-value of test : 0.03 +Chi-square statistic : 1.06 +p-value of test : 0.59 ----------------------------------------------- -CPU time used : 00:01:47.58 +CPU time used : 00:01:48.93 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.26 -p-value of test : 0.21 +Kolmogorov-Smirnov+ statistic = D+ : 0.29 +p-value of test : 0.16 -Kolmogorov-Smirnov- statistic = D- : 0.083 -p-value of test : 0.83 +Kolmogorov-Smirnov- statistic = D- : 0.27 +p-value of test : 0.19 -Anderson-Darling statistic = A2 : 1.04 -p-value of test : 0.33 +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 : 130 -Chi-square statistic : 110.47 -p-value of test : 0.89 +Chi-square statistic : 120.92 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:01:16.45 +CPU time used : 00:01:17.65 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.43 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.54 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.48 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.39 -Anderson-Darling statistic = A2 : 0.64 -p-value of test : 0.60 +Anderson-Darling statistic = A2 : 0.49 +p-value of test : 0.75 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17351.81 -p-value of test : 0.66 +Chi-square statistic :17413.96 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:02:03.29 +CPU time used : 00:02:02.79 Generator state: N/A @@ -2568,15 +2568,15 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 36 -ChiSquare statistic : 53.17 -p-value of test : 0.03 +ChiSquare statistic : 27.06 +p-value of test : 0.86 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 49.56 +ChiSquare statistic : 50.07 p-value of test : 0.05 @@ -2584,28 +2584,28 @@ p-value of test : 0.05 Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 22.10 -p-value of test : 0.63 +ChiSquare statistic : 21.71 +p-value of test : 0.65 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 15.46 -p-value of test : 0.91 +ChiSquare statistic : 13.35 +p-value of test : 0.96 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 22.13 -p-value of test : 0.18 +ChiSquare statistic : 12.44 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:01:03.81 +CPU time used : 00:01:04.22 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 : 24.69 -p-value of test : 0.92 +ChiSquare statistic : 36.52 +p-value of test : 0.44 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 33.23 -p-value of test : 0.55 +ChiSquare statistic : 28.40 +p-value of test : 0.78 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 20.06 -p-value of test : 0.74 +ChiSquare statistic : 24.02 +p-value of test : 0.52 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 23.11 -p-value of test : 0.51 +ChiSquare statistic : 36.83 +p-value of test : 0.05 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 18.67 -p-value of test : 0.35 +ChiSquare statistic : 22.95 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:01:04.95 +CPU time used : 00:01:05.43 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 : 134.91 -p-value of test : 0.73 +ChiSquare statistic : 166.25 +p-value of test : 0.12 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 138.34 -p-value of test : 0.66 +ChiSquare statistic : 169.58 +p-value of test : 0.09 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 530.40 -p-value of test : 0.17 +ChiSquare statistic : 506.78 +p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 133.00 -p-value of test : 0.56 +ChiSquare statistic : 152.33 +p-value of test : 0.16 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 70.27 -p-value of test : 0.60 +ChiSquare statistic : 67.39 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:23.68 +CPU time used : 00:01:24.06 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 : 145.24 -p-value of test : 0.50 +ChiSquare statistic : 116.19 +p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 135.66 -p-value of test : 0.72 +ChiSquare statistic : 132.52 +p-value of test : 0.78 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 509.23 -p-value of test : 0.38 +ChiSquare statistic : 511.91 +p-value of test : 0.35 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 154.28 -p-value of test : 0.14 +ChiSquare statistic : 165.85 +p-value of test : 0.04 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 62.87 -p-value of test : 0.82 +ChiSquare statistic : 86.48 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:01:24.68 +CPU time used : 00:01:25.11 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 : 407.06 -p-value of test : 0.20 +ChiSquare statistic : 348.39 +p-value of test : 0.90 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 417.45 -p-value of test : 0.12 +ChiSquare statistic : 373.34 +p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4959.95 -p-value of test : 0.65 +ChiSquare statistic : 5126.17 +p-value of test : 0.10 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 366.10 -p-value of test : 0.66 +ChiSquare statistic : 391.81 +p-value of test : 0.30 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 147.75 -p-value of test : 0.9978 +ChiSquare statistic : 169.57 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:01:09.99 +CPU time used : 00:01:12.15 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 : 361.25 -p-value of test : 0.79 +ChiSquare statistic : 342.64 +p-value of test : 0.94 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 419.54 -p-value of test : 0.10 +ChiSquare statistic : 396.51 +p-value of test : 0.32 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4996.12 -p-value of test : 0.51 +ChiSquare statistic : 5105.09 +p-value of test : 0.15 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 366.93 -p-value of test : 0.65 +ChiSquare statistic : 328.43 +p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 209.40 -p-value of test : 0.31 +ChiSquare statistic : 215.26 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:01:10.77 +CPU time used : 00:01:13.31 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 16.16 -p-value of test : 0.18 +Chi2 statistic for size of jumps : 8.67 +p-value of test : 0.73 ----------------------------------------------- -Normal statistic for number of jumps : -402.91 +Normal statistic for number of jumps : -402.44 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:11.84 +CPU time used : 00:00:12.13 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 6.23 -p-value of test : 0.90 +Chi2 statistic for size of jumps : 8.08 +p-value of test : 0.78 ----------------------------------------------- -Normal statistic for number of jumps : -402.54 +Normal statistic for number of jumps : -402.89 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:11.66 +CPU time used : 00:00:12.13 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.27 -p-value of test : 0.21 +Kolmogorov-Smirnov+ statistic = D+ : 4.28e-3 +p-value of test : 0.9956 -Kolmogorov-Smirnov- statistic = D- : 0.087 -p-value of test : 0.81 +Kolmogorov-Smirnov- statistic = D- : 0.42 +p-value of test : 0.02 -Anderson-Darling statistic = A2 : 0.66 -p-value of test : 0.58 +Anderson-Darling statistic = A2 : 3.19 +p-value of test : 0.02 Tests on the sum of all N observations -Standardized normal statistic : -0.51 -p-value of test : 0.69 +Standardized normal statistic : 2.55 +p-value of test : 5.4e-3 -Sample variance : 1.12 -p-value of test : 0.35 +Sample variance : 1.05 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:01:17.15 +CPU time used : 00:01:02.16 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.67 +Kolmogorov-Smirnov+ statistic = D+ : 0.077 +p-value of test : 0.85 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.73 +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.33 -Anderson-Darling statistic = A2 : 0.21 -p-value of test : 0.99 +Anderson-Darling statistic = A2 : 0.95 +p-value of test : 0.38 Tests on the sum of all N observations -Standardized normal statistic : -0.11 -p-value of test : 0.55 +Standardized normal statistic : 1.15 +p-value of test : 0.13 -Sample variance : 0.97 -p-value of test : 0.46 +Sample variance : 0.66 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:01:25.65 +CPU time used : 00:01:06.61 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 5.19e-3 -p-value of test : 0.80 +Kolmogorov-Smirnov+ statistic = D+ : 7.53e-3 +p-value of test : 0.63 -Kolmogorov-Smirnov- statistic = D- : 7.75e-3 -p-value of test : 0.61 +Kolmogorov-Smirnov- statistic = D- : 8.94e-3 +p-value of test : 0.52 -Anderson-Darling statistic = A2 : 0.15 -p-value of test : 0.9986 +Anderson-Darling statistic = A2 : 0.66 +p-value of test : 0.59 ----------------------------------------------- -CPU time used : 00:00:58.38 +CPU time used : 00:00:58.25 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 9.84e-3 -p-value of test : 0.45 +Kolmogorov-Smirnov+ statistic = D+ : 4.69e-3 +p-value of test : 0.83 -Kolmogorov-Smirnov- statistic = D- : 5.36e-3 -p-value of test : 0.79 +Kolmogorov-Smirnov- statistic = D- : 0.012 +p-value of test : 0.28 -Anderson-Darling statistic = A2 : 0.47 -p-value of test : 0.77 +Anderson-Darling statistic = A2 : 0.42 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:00:57.04 +CPU time used : 00:00:57.22 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 9.86 -p-value of test : 0.27 +Chi-square statistic : 8.05 +p-value of test : 0.43 ----------------------------------------------- -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 : 00:01:56.74 +CPU time used : 00:02:03.81 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 11.02 -p-value of test : 0.20 +Chi-square statistic : 15.33 +p-value of test : 0.05 ----------------------------------------------- -Global longest run of 1 : 33.00 -p-value of test : 0.44 +Global longest run of 1 : 34.00 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:01:58.77 +CPU time used : 00:02:05.63 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.039 -p-value of test : 0.95 +Kolmogorov-Smirnov+ statistic = D+ : 0.086 +p-value of test : 0.82 -Kolmogorov-Smirnov- statistic = D- : 0.40 -p-value of test : 0.03 +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.25 -Anderson-Darling statistic = A2 : 1.88 -p-value of test : 0.11 +Anderson-Darling statistic = A2 : 0.80 +p-value of test : 0.48 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 233.89 -p-value of test : 0.05 +Chi-square statistic : 216.48 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:03:33.54 +CPU time used : 00:03:24.59 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.032 -p-value of test : 0.96 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.42 -Kolmogorov-Smirnov- statistic = D- : 0.26 -p-value of test : 0.21 +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.42 -Anderson-Darling statistic = A2 : 0.80 -p-value of test : 0.48 +Anderson-Darling statistic = A2 : 0.76 +p-value of test : 0.51 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 221.73 -p-value of test : 0.14 +Chi-square statistic : 190.16 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:03:38.70 +CPU time used : 00:03:29.81 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.087 -p-value of test : 0.82 +Kolmogorov-Smirnov+ statistic = D+ : 0.080 +p-value of test : 0.84 -Kolmogorov-Smirnov- statistic = D- : 0.19 -p-value of test : 0.45 +Kolmogorov-Smirnov- statistic = D- : 0.37 +p-value of test : 0.05 -Anderson-Darling statistic = A2 : 0.40 -p-value of test : 0.84 +Anderson-Darling statistic = A2 : 1.91 +p-value of test : 0.10 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10078.82 -p-value of test : 0.29 +Chi-square statistic :10190.48 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:01:21.13 +CPU time used : 00:01:19.16 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.082 -p-value of test : 0.83 +Kolmogorov-Smirnov+ statistic = D+ : 0.061 +p-value of test : 0.90 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.46 +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.24 -Anderson-Darling statistic = A2 : 0.41 -p-value of test : 0.84 +Anderson-Darling statistic = A2 : 0.88 +p-value of test : 0.42 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10055.63 -p-value of test : 0.35 +Chi-square statistic :10167.21 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:01:22.54 +CPU time used : 00:01:21.50 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.54 -p-value of test : 0.70 +Normal statistic : -0.66 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:01:34.22 +CPU time used : 00:01:33.65 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 2.33 -p-value of test : 9.9e-3 +Normal statistic : -0.93 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:01:28.81 +CPU time used : 00:01:28.97 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.95 -p-value of test : 0.17 +Normal statistic : 1.02 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:05:49.63 +CPU time used : 00:05:52.09 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.056 -p-value of test : 0.91 +Kolmogorov-Smirnov+ statistic = D+ : 1.03e-3 +p-value of test : 0.9990 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.35 +Kolmogorov-Smirnov- statistic = D- : 0.38 +p-value of test : 0.04 -Anderson-Darling statistic = A2 : 0.50 -p-value of test : 0.74 +Anderson-Darling statistic = A2 : 2.26 +p-value of test : 0.07 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4962.76 -p-value of test : 0.23 +Chi-square statistic : 5112.87 +p-value of test : 0.01 ----------------------------------------------- -CPU time used : 00:02:33.91 +CPU time used : 00:02:31.65 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.23 -p-value of test : 0.29 +Kolmogorov-Smirnov+ statistic = D+ : 0.32 +p-value of test : 0.11 -Kolmogorov-Smirnov- statistic = D- : 0.29 -p-value of test : 0.15 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.36 -Anderson-Darling statistic = A2 : 1.34 -p-value of test : 0.22 +Anderson-Darling statistic = A2 : 0.94 +p-value of test : 0.39 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4890.77 -p-value of test : 0.49 +Chi-square statistic : 4909.86 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:02:36.88 +CPU time used : 00:02:38.08 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 : 4160.77 -p-value of test : 0.31 +Chi-square statistic : 4049.64 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:01:54.77 +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 : 4187.90 -p-value of test : 0.22 +Chi-square statistic : 4037.68 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:01:56.24 +CPU time used : 00:01:57.56 Generator state: N/A @@ -3523,11 +3523,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 -Chi-square statistic :12147.90 -p-value of test : 0.02 +Chi-square statistic :11728.11 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:02:04.41 +CPU time used : 00:02:05.22 Generator state: N/A @@ -3549,11 +3549,11 @@ sstring_H
<TRUNCATED>
