http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/src/site/resources/txt/userguide/stress/tu/run_2/tu_12 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_2/tu_12 b/src/site/resources/txt/userguide/stress/tu/run_2/tu_12 index 21fd51a..b851de2 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_2/tu_12 +++ b/src/site/resources/txt/userguide/stress/tu/run_2/tu_12 @@ -1,12 +1,12 @@ # -# 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 # JVM: Java HotSpot(TM) 64-Bit Server VM 25.66-b17 # OS: Linux 3.16.0-4-amd64 amd64 # -# Analyzer: ../stdin2testu01 BigCrush +# Analyzer: ./stdin2testu01 BigCrush # xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting BigCrush @@ -42,11 +42,11 @@ Test Results for Delta = 1.0000 Number of degrees of freedom : 16711680 Value of the statistic : 1.67e+7 -p-value of test : 0.86 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:02:23.40 +CPU time used : 00:02:20.31 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 : 0.44 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:02:19.68 +CPU time used : 00:02:18.92 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 : 1412 -p-value of test : 0.10 +Observed number of collisions : 1379 +p-value of test : 0.35 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334532 - j = 1 : 599997176 - j = 2 : 1412 + j = 0 : 131940795334499 + j = 1 : 599997242 + j = 2 : 1379 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:11.65 +CPU time used : 00:05:24.99 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 : 1458 -p-value of test : 6.2e-3 +Observed number of collisions : 1405 +p-value of test : 0.14 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334578 - j = 1 : 599997084 - j = 2 : 1458 + j = 0 : 131940795334525 + j = 1 : 599997190 + j = 2 : 1405 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:46.94 +CPU time used : 00:04:24.25 Generator state: N/A @@ -227,21 +227,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1342 -p-value of test : 0.72 +Observed number of collisions : 1309 +p-value of test : 0.93 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334462 - j = 1 : 599997316 - j = 2 : 1342 + j = 0 : 131940795334429 + j = 1 : 599997382 + j = 2 : 1309 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:59.83 +CPU time used : 00:07:45.95 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 : 1368 -p-value of test : 0.46 +Observed number of collisions : 1381 +p-value of test : 0.33 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334488 - j = 1 : 599997264 - j = 2 : 1368 + j = 0 : 131940795334501 + j = 1 : 599997238 + j = 2 : 1381 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:08.66 +CPU time used : 00:07:47.67 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 : 1390 -p-value of test : 0.25 +Observed number of collisions : 1360 +p-value of test : 0.54 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334510 - j = 1 : 599997220 - j = 2 : 1390 + j = 0 : 131940795334480 + j = 1 : 599997280 + j = 2 : 1360 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:14.78 +CPU time used : 00:05:26.36 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 : 1325 -p-value of test : 0.85 +Observed number of collisions : 1362 +p-value of test : 0.52 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334445 - j = 1 : 599997350 - j = 2 : 1325 + j = 0 : 131940795334482 + j = 1 : 599997276 + j = 2 : 1362 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:14.53 +CPU time used : 00:07:07.23 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 : 1345 -p-value of test : 0.69 +Observed number of collisions : 1475 +p-value of test : 1.6e-3 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334465 - j = 1 : 599997310 - j = 2 : 1345 + j = 0 : 131940795334595 + j = 1 : 599997050 + j = 2 : 1475 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:24.78 +CPU time used : 00:05:23.28 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 : 1366 -p-value of test : 0.48 +Observed number of collisions : 1379 +p-value of test : 0.35 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334486 - j = 1 : 599997268 - j = 2 : 1366 + j = 0 : 131940795334499 + j = 1 : 599997242 + j = 2 : 1379 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:58.98 +CPU time used : 00:05:44.46 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 : 1360 -p-value of test : 0.54 +Observed number of collisions : 1378 +p-value of test : 0.36 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334480 - j = 1 : 599997280 - j = 2 : 1360 + j = 0 : 131940795334498 + j = 1 : 599997244 + j = 2 : 1378 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:36.61 +CPU time used : 00:05:07.23 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 : 1312 -p-value of test : 0.92 +Observed number of collisions : 1347 +p-value of test : 0.67 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334432 - j = 1 : 599997376 - j = 2 : 1312 + j = 0 : 131940795334467 + j = 1 : 599997306 + j = 2 : 1347 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:31.15 +CPU time used : 00:04:51.13 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5438 -p-value of test : 0.41 +Total observed number : 5456 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:05:13.10 +CPU time used : 00:04:18.94 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4305 -p-value of test : 0.68 +Total observed number : 4299 +p-value of test : 0.71 ----------------------------------------------- -CPU time used : 00:02:18.52 +CPU time used : 00:01:52.89 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7182 -p-value of test : 0.94 +Total observed number : 7317 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:03:54.77 +CPU time used : 00:03:10.23 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4318 -p-value of test : 0.61 +Total observed number : 4283 +p-value of test : 0.79 ----------------------------------------------- -CPU time used : 00:02:51.85 +CPU time used : 00:02:19.09 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4380 -p-value of test : 0.26 +Total observed number : 4323 +p-value of test : 0.58 ----------------------------------------------- -CPU time used : 00:02:57.21 +CPU time used : 00:02:24.85 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7218 -p-value of test : 0.88 +Total observed number : 7166 +p-value of test : 0.96 ----------------------------------------------- -CPU time used : 00:04:18.55 +CPU time used : 00:03:52.13 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7305 -p-value of test : 0.56 +Total observed number : 7324 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:04:10.85 +CPU time used : 00:03:58.30 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7208 -p-value of test : 0.90 +Total observed number : 7318 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:05:14.42 +CPU time used : 00:05:06.48 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7303 -p-value of test : 0.57 +Total observed number : 7386 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:05:47.44 +CPU time used : 00:05:32.27 Generator state: N/A @@ -887,18 +887,18 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 1.63 -p-value of test : 0.15 +Stat. AD on the N values (NP) : 1.36 +p-value of test : 0.21 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) : 1.24 -p-value of test : 0.25 +A2 test on the values of A2 (m-NP) : 1.14 +p-value of test : 0.29 -Test on the Nm values of W_{n,i}(mNP1): 0.57 -p-value of test : 0.68 +Test on the Nm values of W_{n,i}(mNP1): 1.62 +p-value of test : 0.15 Test on the jump times of Y (superposition of Yn): @@ -907,14 +907,14 @@ Expected number of jumps of Y = mN : 900 Number of jumps of Y : 876 p-value of test : 0.78 -Stat. AD (mNP2) : 1.28 -p-value of test : 0.24 +Stat. AD (mNP2) : 1.52 +p-value of test : 0.17 -Stat. AD after spacings (mNP2-S) : 1.03 -p-value of test : 0.34 +Stat. AD after spacings (mNP2-S) : 1.94 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:03:18.23 +CPU time used : 00:03:08.47 Generator state: N/A @@ -935,34 +935,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.24 -p-value of test : 0.97 +Stat. AD on the N values (NP) : 2.42 +p-value of test : 0.05 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) : 0.21 -p-value of test : 0.99 +A2 test on the values of A2 (m-NP) : 0.53 +p-value of test : 0.71 -Test on the Nm values of W_{n,i}(mNP1): 0.25 -p-value of test : 0.97 +Test on the Nm values of W_{n,i}(mNP1): 0.36 +p-value of test : 0.89 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 609 -p-value of test : 0.36 +Number of jumps of Y : 583 +p-value of test : 0.75 -Stat. AD (mNP2) : 0.46 -p-value of test : 0.79 +Stat. AD (mNP2) : 1.08 +p-value of test : 0.32 -Stat. AD after spacings (mNP2-S) : 0.83 -p-value of test : 0.46 +Stat. AD after spacings (mNP2-S) : 0.64 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:02:09.97 +CPU time used : 00:01:59.53 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) : 0.61 -p-value of test : 0.63 +Stat. AD on the N values (NP) : 1.50 +p-value of test : 0.18 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) : 1.59 -p-value of test : 0.16 +A2 test on the values of A2 (m-NP) : 0.85 +p-value of test : 0.44 -Test on the Nm values of W_{n,i}(mNP1): 0.29 -p-value of test : 0.95 +Test on the Nm values of W_{n,i}(mNP1): 0.42 +p-value of test : 0.83 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 308 -p-value of test : 0.33 +Number of jumps of Y : 301 +p-value of test : 0.48 -Stat. AD (mNP2) : 1.30 -p-value of test : 0.23 +Stat. AD (mNP2) : 2.22 +p-value of test : 0.07 -Stat. AD after spacings (mNP2-S) : 0.60 -p-value of test : 0.65 +Stat. AD after spacings (mNP2-S) : 1.09 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:03:10.02 +CPU time used : 00:02:58.82 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) : 0.37 -p-value of test : 0.87 +Stat. AD on the N values (NP) : 0.72 +p-value of test : 0.53 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) : 1.12 -p-value of test : 0.30 +A2 test on the values of A2 (m-NP) : 4.59 +p-value of test : 5.0e-3 -Test on the Nm values of W_{n,i}(mNP1): 0.58 -p-value of test : 0.67 +Test on the Nm values of W_{n,i}(mNP1): 0.34 +p-value of test : 0.91 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 152 -p-value of test : 0.45 - -Stat. AD (mNP2) : 0.90 +Number of jumps of Y : 153 p-value of test : 0.41 -Stat. AD after spacings (mNP2-S) : 1.00 -p-value of test : 0.35 +Stat. AD (mNP2) : 0.51 +p-value of test : 0.74 + +Stat. AD after spacings (mNP2-S) : 0.69 +p-value of test : 0.57 ----------------------------------------------- -CPU time used : 00:03:21.10 +CPU time used : 00:03:17.64 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 6.21 -p-value of test : 0.52 +Chi-square statistic : 5.85 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:01:20.30 +CPU time used : 00:01:19.94 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 4.19 -p-value of test : 0.76 +Chi-square statistic : 5.04 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:01:38.77 +CPU time used : 00:01:31.60 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 29.13 -p-value of test : 0.05 +Chi-square statistic : 28.45 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:01:20.11 +CPU time used : 00:01:18.82 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 21.07 -p-value of test : 0.28 +Chi-square statistic : 20.51 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:01:38.55 +CPU time used : 00:01:30.36 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 33.58 -p-value of test : 0.99 +Chi-square statistic : 57.93 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:01:43.53 +CPU time used : 00:01:47.38 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 71.38 -p-value of test : 0.06 +Chi-square statistic : 37.71 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:02:01.22 +CPU time used : 00:01:59.69 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 62.58 -p-value of test : 0.20 +Chi-square statistic : 58.82 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:02:02.67 +CPU time used : 00:02:01.11 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 37.08 -p-value of test : 0.96 +Chi-square statistic : 41.13 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:02:03.35 +CPU time used : 00:02:01.17 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 209.79 -p-value of test : 0.85 +Chi-square statistic : 231.03 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:02:09.18 +CPU time used : 00:02:23.15 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 456.72 -p-value of test : 0.22 +Chi-square statistic : 418.97 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:03:10.02 +CPU time used : 00:03:17.27 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1420.10 -p-value of test : 0.62 +Chi-square statistic : 1441.74 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:03:18.77 +CPU time used : 00:03:29.27 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7099.60 -p-value of test : 0.32 +Chi-square statistic : 6983.72 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:03:13.87 +CPU time used : 00:03:22.23 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.43 -p-value of test : 0.12 +Kolmogorov-Smirnov+ statistic = D+ : 0.33 +p-value of test : 0.27 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.75 +Kolmogorov-Smirnov- statistic = D- : 0.53 +p-value of test : 0.04 -Anderson-Darling statistic = A2 : 0.91 -p-value of test : 0.40 +Anderson-Darling statistic = A2 : 1.63 +p-value of test : 0.15 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 22.24 -p-value of test : 0.85 +Chi-square statistic : 31.45 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:01:48.27 +CPU time used : 00:01:51.38 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.35 +Kolmogorov-Smirnov+ statistic = D+ : 0.044 +p-value of test : 0.93 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.46 +Kolmogorov-Smirnov- statistic = D- : 0.29 +p-value of test : 0.15 -Anderson-Darling statistic = A2 : 0.42 -p-value of test : 0.83 +Anderson-Darling statistic = A2 : 1.54 +p-value of test : 0.17 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 55.29 -p-value of test : 0.65 +Chi-square statistic : 74.29 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:04:16.06 +CPU time used : 00:04:18.46 Generator state: N/A @@ -1450,12 +1450,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5 -Value of the statistic : 1.47 -p-value of test : 0.92 +Value of the statistic : 6.34 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:01:19.77 +CPU time used : 00:01:21.76 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 : 92.40 -p-value of test : 0.97 +Value of the statistic : 127.15 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:02:08.22 +CPU time used : 00:02:10.32 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 : 4954.71 -p-value of test : 0.80 +Value of the statistic : 5019.05 +p-value of test : 0.58 ----------------------------------------------- -CPU time used : 00:01:33.23 +CPU time used : 00:01:33.32 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 : 0.82 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:03:13.57 +CPU time used : 00:03:06.15 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 : 46106 -p-value of test : 0.15 +Observed number of collisions : 45814 +p-value of test : 0.62 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165870106 - j = 1 : 399907792 - j = 2 : 46098 + j = 0 : 1743165869814 + j = 1 : 399908376 + j = 2 : 45806 j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:40.97 +CPU time used : 00:04:19.37 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 : 46076 -p-value of test : 0.18 +Observed number of collisions : 45894 +p-value of test : 0.47 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165870076 - j = 1 : 399907851 - j = 2 : 46070 - j = 3 : 3 + j = 0 : 1743165869894 + j = 1 : 399908214 + j = 2 : 45890 + j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:57.68 +CPU time used : 00:04:31.14 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.047 -p-value of test : 0.81 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.07 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.25 +Kolmogorov-Smirnov- statistic = D- : 0.030 +p-value of test : 0.91 -Anderson-Darling statistic = A2 : 1.00 -p-value of test : 0.36 +Anderson-Darling statistic = A2 : 1.25 +p-value of test : 0.25 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.13 +p-value of test : 0.90 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.087 -p-value of test : 0.51 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.11 -Kolmogorov-Smirnov- statistic = D- : 0.076 -p-value of test : 0.60 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.21 -Anderson-Darling statistic = A2 : 0.41 -p-value of test : 0.84 +Anderson-Darling statistic = A2 : 1.72 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:03:37.45 +CPU time used : 00:03:18.80 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.16 +Kolmogorov-Smirnov+ statistic = D+ : 0.23 +p-value of test : 0.03 -Kolmogorov-Smirnov- statistic = D- : 0.046 -p-value of test : 0.85 +Kolmogorov-Smirnov- statistic = D- : 0.027 +p-value of test : 0.94 -Anderson-Darling statistic = A2 : 1.92 -p-value of test : 0.10 +Anderson-Darling statistic = A2 : 1.55 +p-value of test : 0.17 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.90 +p-value of test : 0.92 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.42 +Kolmogorov-Smirnov+ statistic = D+ : 0.076 +p-value of test : 0.67 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.41 +Kolmogorov-Smirnov- statistic = D- : 0.095 +p-value of test : 0.55 -Anderson-Darling statistic = A2 : 0.47 -p-value of test : 0.78 +Anderson-Darling statistic = A2 : 0.42 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:03:19.64 +CPU time used : 00:03:05.38 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.076 -p-value of test : 0.76 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.31 -Kolmogorov-Smirnov- statistic = D- : 0.090 -p-value of test : 0.68 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.45 -Anderson-Darling statistic = A2 : 0.20 -p-value of test : 0.9911 +Anderson-Darling statistic = A2 : 0.63 +p-value of test : 0.62 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.39 +p-value of test : 0.60 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.22 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.48 -Kolmogorov-Smirnov- statistic = D- : 0.048 -p-value of test : 0.88 +Kolmogorov-Smirnov- statistic = D- : 0.035 +p-value of test : 0.93 -Anderson-Darling statistic = A2 : 0.68 -p-value of test : 0.57 +Anderson-Darling statistic = A2 : 0.39 +p-value of test : 0.85 ----------------------------------------------- -CPU time used : 00:02:37.46 +CPU time used : 00:02:27.93 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.28 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.53 -Kolmogorov-Smirnov- statistic = D- : 0.022 -p-value of test : 0.97 +Kolmogorov-Smirnov- statistic = D- : 0.077 +p-value of test : 0.75 -Anderson-Darling statistic = A2 : 0.71 -p-value of test : 0.55 +Anderson-Darling statistic = A2 : 0.38 +p-value of test : 0.86 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.87 +p-value of test : 0.70 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.15 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.49 -Kolmogorov-Smirnov- statistic = D- : 6.00e-3 -p-value of test : 0.9933 +Kolmogorov-Smirnov- statistic = D- : 0.084 +p-value of test : 0.71 -Anderson-Darling statistic = A2 : 1.39 -p-value of test : 0.20 +Anderson-Darling statistic = A2 : 0.56 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:02:50.90 +CPU time used : 00:02:53.62 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.36 +Kolmogorov-Smirnov+ statistic = D+ : 0.050 +p-value of test : 0.79 -Kolmogorov-Smirnov- statistic = D- : 0.082 -p-value of test : 0.55 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.29 -Anderson-Darling statistic = A2 : 0.39 -p-value of test : 0.86 +Anderson-Darling statistic = A2 : 0.72 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:02:27.52 +CPU time used : 00:02:30.04 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.46 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.32 -Kolmogorov-Smirnov- statistic = D- : 0.089 -p-value of test : 0.69 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.56 -Anderson-Darling statistic = A2 : 0.82 -p-value of test : 0.46 +Anderson-Darling statistic = A2 : 0.70 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:01:44.00 +CPU time used : 00:01:46.53 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.51 +Kolmogorov-Smirnov+ statistic = D+ : 0.061 +p-value of test : 0.83 -Kolmogorov-Smirnov- statistic = D- : 0.056 -p-value of test : 0.85 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.56 -Anderson-Darling statistic = A2 : 0.33 -p-value of test : 0.91 +Anderson-Darling statistic = A2 : 0.26 +p-value of test : 0.96 ----------------------------------------------- -CPU time used : 00:02:16.54 +CPU time used : 00:02:17.89 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 9.33e-5 -p-value of test : 0.71 +Kolmogorov-Smirnov+ statistic = D+ : 5.19e-5 +p-value of test : 0.90 -Kolmogorov-Smirnov- statistic = D- : 1.56e-4 -p-value of test : 0.38 +Kolmogorov-Smirnov- statistic = D- : 3.40e-4 +p-value of test : 9.8e-3 -Anderson-Darling statistic = A2 : 0.53 -p-value of test : 0.72 +Anderson-Darling statistic = A2 : 2.71 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:00:33.12 +CPU time used : 00:00:33.18 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 2.10e-4 -p-value of test : 0.17 +Kolmogorov-Smirnov+ statistic = D+ : 6.87e-5 +p-value of test : 0.83 -Kolmogorov-Smirnov- statistic = D- : 8.75e-5 -p-value of test : 0.74 +Kolmogorov-Smirnov- statistic = D- : 1.69e-4 +p-value of test : 0.32 -Anderson-Darling statistic = A2 : 1.42 -p-value of test : 0.20 +Anderson-Darling statistic = A2 : 0.47 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:00:34.40 +CPU time used : 00:00:33.93 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.97 -p-value of test : 0.83 +Normal statistic : 2.04 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:00:32.85 +CPU time used : 00:00:33.84 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.61 -p-value of test : 0.73 +Normal statistic : -1.73 +p-value of test : 0.96 ----------------------------------------------- -CPU time used : 00:00:33.28 +CPU time used : 00:00:35.04 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 0.058 -p-value of test : 0.48 +Normal statistic : -0.25 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:02:02.30 +CPU time used : 00:02:02.63 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -2.03 -p-value of test : 0.98 +Normal statistic : 0.21 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:02:10.29 +CPU time used : 00:02:03.71 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 53.34 -p-value of test : 0.89 +Chi-square statistic : 57.72 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:01:27.64 +CPU time used : 00:01:30.05 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 72.55 -p-value of test : 0.30 +Chi-square statistic : 72.20 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:01:47.19 +CPU time used : 00:01:44.65 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 60.68 -p-value of test : 0.69 +Chi-square statistic : 73.23 +p-value of test : 0.28 ----------------------------------------------- -CPU time used : 00:01:46.14 +CPU time used : 00:01:41.30 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 41.80 -p-value of test : 0.27 +Chi-square statistic : 40.60 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:01:26.29 +CPU time used : 00:01:27.44 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 40.63 -p-value of test : 0.31 +Chi-square statistic : 35.86 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:01:49.32 +CPU time used : 00:01:57.90 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 31.06 -p-value of test : 0.74 +Chi-square statistic : 42.49 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:01:47.82 +CPU time used : 00:01:44.31 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 15.80 -p-value of test : 0.98 +Chi-square statistic : 28.25 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:02:50.28 +CPU time used : 00:02:44.76 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.66 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.74 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.51 +Kolmogorov-Smirnov- statistic = D- : 0.30 +p-value of test : 0.13 -Anderson-Darling statistic = A2 : 0.43 -p-value of test : 0.82 +Anderson-Darling statistic = A2 : 1.06 +p-value of test : 0.33 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 44.26 -p-value of test : 0.30 +Chi-square statistic : 44.96 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:01:23.75 +CPU time used : 00:01:37.32 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 0.16 +Kolmogorov-Smirnov+ statistic = D+ : 0.26 +p-value of test : 0.22 -Kolmogorov-Smirnov- statistic = D- : 0.094 -p-value of test : 0.79 +Kolmogorov-Smirnov- statistic = D- : 0.089 +p-value of test : 0.81 -Anderson-Darling statistic = A2 : 0.77 -p-value of test : 0.50 +Anderson-Darling statistic = A2 : 0.95 +p-value of test : 0.38 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 35.26 -p-value of test : 0.68 +Chi-square statistic : 29.18 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:01:22.70 +CPU time used : 00:01:48.67 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 0.92 -p-value of test : 0.82 +Chi-square statistic : 1.70 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:02:13.22 +CPU time used : 00:03:36.73 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 0.44 -p-value of test : 0.93 +Chi-square statistic : 0.29 +p-value of test : 0.96 ----------------------------------------------- -CPU time used : 00:02:14.30 +CPU time used : 00:03:08.29 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 8.44 -p-value of test : 0.01 +Chi-square statistic : 0.41 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:01:45.36 +CPU time used : 00:01:39.68 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.075 -p-value of test : 0.96 +Chi-square statistic : 1.05 +p-value of test : 0.59 ----------------------------------------------- -CPU time used : 00:01:17.71 +CPU time used : 00:01:21.12 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.52 +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.38 -Kolmogorov-Smirnov- statistic = D- : 0.10 -p-value of test : 0.75 +Kolmogorov-Smirnov- statistic = D- : 0.27 +p-value of test : 0.19 -Anderson-Darling statistic = A2 : 0.41 -p-value of test : 0.83 +Anderson-Darling statistic = A2 : 1.03 +p-value of test : 0.34 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 121.26 -p-value of test : 0.70 +Chi-square statistic : 144.11 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:01:02.44 +CPU time used : 00:01:02.34 Generator state: N/A @@ -2531,21 +2531,21 @@ Test results for GCD values: Kolmogorov-Smirnov+ statistic = D+ : 0.22 p-value of test : 0.34 -Kolmogorov-Smirnov- statistic = D- : 0.10 -p-value of test : 0.75 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.49 -Anderson-Darling statistic = A2 : 1.01 -p-value of test : 0.35 +Anderson-Darling statistic = A2 : 0.55 +p-value of test : 0.69 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17261.57 -p-value of test : 0.82 +Chi-square statistic :17355.24 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:01:53.25 +CPU time used : 00:01:52.53 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 : 36.31 -p-value of test : 0.45 +ChiSquare statistic : 41.10 +p-value of test : 0.26 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 40.17 -p-value of test : 0.25 +ChiSquare statistic : 36.53 +p-value of test : 0.40 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 17.01 -p-value of test : 0.88 +ChiSquare statistic : 37.20 +p-value of test : 0.06 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 25.86 -p-value of test : 0.36 +ChiSquare statistic : 24.96 +p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 8.85 -p-value of test : 0.94 +ChiSquare statistic : 19.79 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:00:49.94 +CPU time used : 00:00:46.37 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 : 40.36 -p-value of test : 0.28 +ChiSquare statistic : 24.40 +p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 32.71 -p-value of test : 0.58 +ChiSquare statistic : 34.43 +p-value of test : 0.50 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 30.92 -p-value of test : 0.19 +ChiSquare statistic : 24.27 +p-value of test : 0.50 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 30.46 -p-value of test : 0.17 +ChiSquare statistic : 22.21 +p-value of test : 0.57 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 20.38 -p-value of test : 0.26 +ChiSquare statistic : 11.24 +p-value of test : 0.84 ----------------------------------------------- -CPU time used : 00:00:49.67 +CPU time used : 00:00:47.92 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 : 152.34 -p-value of test : 0.34 +ChiSquare statistic : 159.24 +p-value of test : 0.21 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 146.64 -p-value of test : 0.47 +ChiSquare statistic : 121.82 +p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 485.96 -p-value of test : 0.67 +ChiSquare statistic : 452.71 +p-value of test : 0.94 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 119.14 -p-value of test : 0.85 +ChiSquare statistic : 103.06 +p-value of test : 0.98 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 89.54 -p-value of test : 0.11 +ChiSquare statistic : 78.37 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:00:57.80 +CPU time used : 00:01:00.70 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 : 158.32 -p-value of test : 0.23 +ChiSquare statistic : 140.26 +p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 148.11 -p-value of test : 0.44 +ChiSquare statistic : 136.97 +p-value of test : 0.69 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 528.27 -p-value of test : 0.18 +ChiSquare statistic : 461.41 +p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 147.90 -p-value of test : 0.23 +ChiSquare statistic : 152.69 +p-value of test : 0.16 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 58.15 -p-value of test : 0.91 +ChiSquare statistic : 82.50 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:01:00.68 +CPU time used : 00:00:54.54 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 : 385.21 -p-value of test : 0.47 +ChiSquare statistic : 367.95 +p-value of test : 0.71 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 414.46 -p-value of test : 0.14 +ChiSquare statistic : 345.87 +p-value of test : 0.92 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4899.73 -p-value of test : 0.84 +ChiSquare statistic : 4923.74 +p-value of test : 0.78 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 387.27 -p-value of test : 0.36 +ChiSquare statistic : 403.75 +p-value of test : 0.17 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 167.62 -p-value of test : 0.95 +ChiSquare statistic : 185.48 +p-value of test : 0.76 ----------------------------------------------- -CPU time used : 00:00:50.62 +CPU time used : 00:00:45.52 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 : 388.74 -p-value of test : 0.42 +ChiSquare statistic : 351.99 +p-value of test : 0.88 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 417.69 -p-value of test : 0.11 +ChiSquare statistic : 376.21 +p-value of test : 0.60 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4995.52 -p-value of test : 0.52 +ChiSquare statistic : 5040.58 +p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 346.93 -p-value of test : 0.87 +ChiSquare statistic : 367.55 +p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 252.49 -p-value of test : 7.0e-3 +ChiSquare statistic : 159.23 +p-value of test : 0.98 ----------------------------------------------- -CPU time used : 00:00:48.98 +CPU time used : 00:00:45.65 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 14.40 -p-value of test : 0.28 +Chi2 statistic for size of jumps : 8.15 +p-value of test : 0.77 ----------------------------------------------- -Normal statistic for number of jumps : -0.82 -p-value of test : 0.80 +Normal statistic for number of jumps : 0.41 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:02:22.64 +CPU time used : 00:02:24.22 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 10.34 -p-value of test : 0.59 +Chi2 statistic for size of jumps : 12.58 +p-value of test : 0.40 ----------------------------------------------- -Normal statistic for number of jumps : -0.48 -p-value of test : 0.68 +Normal statistic for number of jumps : -0.68 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:02:23.01 +CPU time used : 00:02:23.94 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.30 -p-value of test : 0.14 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.62 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.72 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.62 -Anderson-Darling statistic = A2 : 1.05 -p-value of test : 0.33 +Anderson-Darling statistic = A2 : 0.32 +p-value of test : 0.92 Tests on the sum of all N observations -Standardized normal statistic : -0.62 -p-value of test : 0.73 +Standardized normal statistic : -0.13 +p-value of test : 0.55 -Sample variance : 1.75 -p-value of test : 0.07 +Sample variance : 0.59 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:00:56.22 +CPU time used : 00:00:56.21 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 0.16 +Kolmogorov-Smirnov+ statistic = D+ : 0.37 +p-value of test : 0.05 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.64 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.72 -Anderson-Darling statistic = A2 : 1.33 -p-value of test : 0.22 +Anderson-Darling statistic = A2 : 0.97 +p-value of test : 0.37 Tests on the sum of all N observations -Standardized normal statistic : -0.82 -p-value of test : 0.79 +Standardized normal statistic : -0.78 +p-value of test : 0.78 -Sample variance : 1.82 -p-value of test : 0.06 +Sample variance : 1.09 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:00:57.92 +CPU time used : 00:00:58.23 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 9.55e-3 -p-value of test : 0.47 +Kolmogorov-Smirnov+ statistic = D+ : 7.37e-3 +p-value of test : 0.64 -Kolmogorov-Smirnov- statistic = D- : 0.014 -p-value of test : 0.19 +Kolmogorov-Smirnov- statistic = D- : 6.01e-3 +p-value of test : 0.74 -Anderson-Darling statistic = A2 : 1.27 -p-value of test : 0.24 +Anderson-Darling statistic = A2 : 0.33 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:00:47.96 +CPU time used : 00:00:51.54 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.018 -p-value of test : 0.07 +Kolmogorov-Smirnov+ statistic = D+ : 2.47e-3 +p-value of test : 0.95 -Kolmogorov-Smirnov- statistic = D- : 5.28e-3 -p-value of test : 0.79 +Kolmogorov-Smirnov- statistic = D- : 0.012 +p-value of test : 0.28 -Anderson-Darling statistic = A2 : 1.31 -p-value of test : 0.23 +Anderson-Darling statistic = A2 : 0.90 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:00:46.95 +CPU time used : 00:00:45.78 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 3.99 -p-value of test : 0.86 +Chi-square statistic : 3.22 +p-value of test : 0.92 ----------------------------------------------- -Global longest run of 1 : 34.00 -p-value of test : 0.25 +Global longest run of 1 : 32.00 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:01:43.15 +CPU time used : 00:01:41.26 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 11.72 -p-value of test : 0.16 +Chi-square statistic : 4.57 +p-value of test : 0.80 ----------------------------------------------- -Global longest run of 1 : 32.00 -p-value of test : 0.50 +Global longest run of 1 : 31.00 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:50.20 +CPU time used : 00:01:44.21 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.64 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.37 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.35 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.62 -Anderson-Darling statistic = A2 : 0.53 -p-value of test : 0.71 +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 : 200 -Chi-square statistic : 203.54 -p-value of test : 0.42 +Chi-square statistic : 193.43 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:03:02.27 +CPU time used : 00:02:54.20 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.34 +Kolmogorov-Smirnov+ statistic = D+ : 0.23 +p-value of test : 0.30 -Kolmogorov-Smirnov- statistic = D- : 0.28 -p-value of test : 0.18 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.68 -Anderson-Darling statistic = A2 : 0.84 -p-value of test : 0.45 +Anderson-Darling statistic = A2 : 0.82 +p-value of test : 0.47 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 205.45 -p-value of test : 0.38 +Chi-square statistic : 190.31 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:03:04.62 +CPU time used : 00:02:55.17 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.63 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.49 -Kolmogorov-Smirnov- statistic = D- : 0.27 -p-value of test : 0.19 +Kolmogorov-Smirnov- statistic = D- : 0.100 +p-value of test : 0.77 -Anderson-Darling statistic = A2 : 0.64 -p-value of test : 0.60 +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 : 10000 -Chi-square statistic : 9987.48 -p-value of test : 0.53 +Chi-square statistic :10029.78 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:01:09.18 +CPU time used : 00:01:12.93 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.26 -p-value of test : 0.23 +Kolmogorov-Smirnov+ statistic = D+ : 0.31 +p-value of test : 0.13 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.38 +Kolmogorov-Smirnov- statistic = D- : 5.32e-3 +p-value of test : 0.9944 -Anderson-Darling statistic = A2 : 0.83 -p-value of test : 0.46 +Anderson-Darling statistic = A2 : 1.20 +p-value of test : 0.26 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9948.67 -p-value of test : 0.64 +Chi-square statistic : 9787.13 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:01:12.25 +CPU time used : 00:01:15.80 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.24 -p-value of test : 0.60 +Normal statistic : -0.098 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:01:24.43 +CPU time used : 00:01:27.15 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.61 -p-value of test : 0.73 +Normal statistic : 0.28 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:01:19.27 +CPU time used : 00:01:20.55 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.49 -p-value of test : 0.69 +Normal statistic : -0.075 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:05:22.95 +CPU time used : 00:05:01.05 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.33 -p-value of test : 0.10 +Kolmogorov-Smirnov+ statistic = D+ : 0.067 +p-value of test : 0.88 -Kolmogorov-Smirnov- statistic = D- : 0.053 -p-value of test : 0.92 +Kolmogorov-Smirnov- statistic = D- : 0.28 +p-value of test : 0.17 -Anderson-Darling statistic = A2 : 1.02 -p-value of test : 0.34 +Anderson-Darling statistic = A2 : 0.98 +p-value of test : 0.37 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4781.51 -p-value of test : 0.86 +Chi-square statistic : 4993.83 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:02:16.55 +CPU time used : 00:02:15.25 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.42 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.65 -Kolmogorov-Smirnov- statistic = D- : 0.089 -p-value of test : 0.81 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.55 -Anderson-Darling statistic = A2 : 0.59 -p-value of test : 0.66 +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 : 4890 -Chi-square statistic : 4835.39 -p-value of test : 0.71 +Chi-square statistic : 4893.61 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:02:22.37 +CPU time used : 00:02:16.50 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 : 4176.19 -p-value of test : 0.26 +Chi-square statistic : 4187.74 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:01:39.75 +CPU time used : 00:01:36.47 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 : 4150.42 -p-value of test : 0.35 +Chi-square statistic : 3949.55 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:01:42.73 +CPU time used : 00:01:40.15 Generator state: N/A @@ -3523,11 +3523,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 -Chi-square statistic :11905.77 -p-value of test : 0.30 +Chi-square statistic :11614.61 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:01:47.45 +CPU time used
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