http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/src/site/resources/txt/userguide/stress/tu/run_1/tu_10 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_1/tu_10 b/src/site/resources/txt/userguide/stress/tu/run_1/tu_10 index bb38491..aaac3fc 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_1/tu_10 +++ b/src/site/resources/txt/userguide/stress/tu/run_1/tu_10 @@ -1,5 +1,5 @@ # -# RNG: org.apache.commons.math4.rng.internal.source64.MersenneTwister64 +# RNG: org.apache.commons.rng.internal.source64.MersenneTwister64 # # Java: 1.8.0_66 # Runtime: 1.8.0_66-b17 @@ -42,11 +42,11 @@ Test Results for Delta = 1.0000 Number of degrees of freedom : 16711680 Value of the statistic : 1.67e+7 -p-value of test : 0.89 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:01:55.65 +CPU time used : 00:02:06.79 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 : 0.21 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:01:40.84 +CPU time used : 00:02:07.21 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 : 1403 -p-value of test : 0.15 +Observed number of collisions : 1374 +p-value of test : 0.40 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334523 - j = 1 : 599997194 - j = 2 : 1403 + j = 0 : 131940795334494 + j = 1 : 599997252 + j = 2 : 1374 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:26.23 +CPU time used : 00:05:26.39 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 : 1457 -p-value of test : 6.7e-3 +Observed number of collisions : 1351 +p-value of test : 0.63 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334577 - j = 1 : 599997086 - j = 2 : 1457 + j = 0 : 131940795334471 + j = 1 : 599997298 + j = 2 : 1351 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:19.63 +CPU time used : 00:05:22.67 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 : 1288 -p-value of test : 0.98 +Observed number of collisions : 1359 +p-value of test : 0.55 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334408 - j = 1 : 599997424 - j = 2 : 1288 + j = 0 : 131940795334479 + j = 1 : 599997282 + j = 2 : 1359 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:56.74 +CPU time used : 00:06:39.31 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 : 1297 -p-value of test : 0.97 +Observed number of collisions : 1362 +p-value of test : 0.52 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334417 - j = 1 : 599997406 - j = 2 : 1297 + j = 0 : 131940795334482 + j = 1 : 599997276 + j = 2 : 1362 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:44.82 +CPU time used : 00:07:47.94 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 : 1458 -p-value of test : 6.2e-3 +Observed number of collisions : 1393 +p-value of test : 0.22 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334578 - j = 1 : 599997084 - j = 2 : 1458 + j = 0 : 131940795334513 + j = 1 : 599997214 + j = 2 : 1393 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:16.71 +CPU time used : 00:06:52.44 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 : 1303 -p-value of test : 0.95 +Observed number of collisions : 1372 +p-value of test : 0.42 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334423 - j = 1 : 599997394 - j = 2 : 1303 + j = 0 : 131940795334492 + j = 1 : 599997256 + j = 2 : 1372 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:10.61 +CPU time used : 00:06:19.67 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 : 1416 -p-value of test : 0.08 +Observed number of collisions : 1362 +p-value of test : 0.52 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334536 - j = 1 : 599997168 - j = 2 : 1416 + j = 0 : 131940795334482 + j = 1 : 599997276 + j = 2 : 1362 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:46.09 +CPU time used : 00:08:36.40 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 : 1409 -p-value of test : 0.12 +Observed number of collisions : 1436 +p-value of test : 0.03 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334529 - j = 1 : 599997182 - j = 2 : 1409 + j = 0 : 131940795334556 + j = 1 : 599997128 + j = 2 : 1436 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:16.26 +CPU time used : 00:05:55.92 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 : 1363 -p-value of test : 0.51 +Observed number of collisions : 1389 +p-value of test : 0.25 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334483 - j = 1 : 599997274 - j = 2 : 1363 + j = 0 : 131940795334509 + j = 1 : 599997222 + j = 2 : 1389 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:07.25 +CPU time used : 00:06:14.51 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 : 1400 -p-value of test : 0.17 +Observed number of collisions : 1361 +p-value of test : 0.53 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334520 - j = 1 : 599997200 - j = 2 : 1400 + j = 0 : 131940795334481 + j = 1 : 599997278 + j = 2 : 1361 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:59.67 +CPU time used : 00:06:18.77 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5392 -p-value of test : 0.65 +Total observed number : 5487 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:04:26.40 +CPU time used : 00:05:12.47 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4244 -p-value of test : 0.92 +Total observed number : 4250 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:01:57.09 +CPU time used : 00:02:18.27 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7481 -p-value of test : 0.03 +Total observed number : 7335 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:03:17.39 +CPU time used : 00:03:45.18 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4235 -p-value of test : 0.94 +Total observed number : 4389 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:02:22.77 +CPU time used : 00:02:39.43 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4343 -p-value of test : 0.46 +Total observed number : 4339 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:02:33.71 +CPU time used : 00:02:43.31 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7330 -p-value of test : 0.45 +Total observed number : 7312 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:04:03.75 +CPU time used : 00:04:14.68 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7404 -p-value of test : 0.16 +Total observed number : 7372 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:04:02.43 +CPU time used : 00:03:58.96 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7303 -p-value of test : 0.57 +Total observed number : 7317 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:05:06.77 +CPU time used : 00:05:08.72 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7367 -p-value of test : 0.29 +Total observed number : 7217 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:05:39.10 +CPU time used : 00:05:28.89 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) : 1.78 -p-value of test : 0.12 +Stat. AD on the N values (NP) : 1.75 +p-value of test : 0.13 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) : 0.72 -p-value of test : 0.54 +A2 test on the values of A2 (m-NP) : 0.92 +p-value of test : 0.40 -Test on the Nm values of W_{n,i}(mNP1): 0.40 -p-value of test : 0.85 +Test on the Nm values of W_{n,i}(mNP1): 0.79 +p-value of test : 0.49 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 941 -p-value of test : 0.09 +Number of jumps of Y : 859 +p-value of test : 0.91 -Stat. AD (mNP2) : 1.34 -p-value of test : 0.22 +Stat. AD (mNP2) : 0.79 +p-value of test : 0.49 -Stat. AD after spacings (mNP2-S) : 0.86 -p-value of test : 0.44 +Stat. AD after spacings (mNP2-S) : 0.70 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:03:20.18 +CPU time used : 00:03:10.03 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) : 0.69 -p-value of test : 0.57 +Stat. AD on the N values (NP) : 0.41 +p-value of test : 0.84 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) : 2.64 -p-value of test : 0.04 +A2 test on the values of A2 (m-NP) : 0.37 +p-value of test : 0.88 -Test on the Nm values of W_{n,i}(mNP1): 0.17 -p-value of test : 0.9963 +Test on the Nm values of W_{n,i}(mNP1): 0.54 +p-value of test : 0.71 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 611 -p-value of test : 0.33 +Number of jumps of Y : 612 +p-value of test : 0.32 -Stat. AD (mNP2) : 0.36 -p-value of test : 0.89 +Stat. AD (mNP2) : 1.68 +p-value of test : 0.14 -Stat. AD after spacings (mNP2-S) : 0.32 -p-value of test : 0.92 +Stat. AD after spacings (mNP2-S) : 1.07 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:02:03.50 +CPU time used : 00:02:00.94 Generator state: N/A @@ -983,34 +983,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 1.14 -p-value of test : 0.29 +Stat. AD on the N values (NP) : 0.51 +p-value of test : 0.73 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) : 2.85 -p-value of test : 0.03 +A2 test on the values of A2 (m-NP) : 0.90 +p-value of test : 0.41 -Test on the Nm values of W_{n,i}(mNP1): 0.42 -p-value of test : 0.83 +Test on the Nm values of W_{n,i}(mNP1): 0.54 +p-value of test : 0.70 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 295 -p-value of test : 0.60 +Number of jumps of Y : 311 +p-value of test : 0.27 -Stat. AD (mNP2) : 0.89 -p-value of test : 0.42 +Stat. AD (mNP2) : 0.73 +p-value of test : 0.53 -Stat. AD after spacings (mNP2-S) : 1.07 -p-value of test : 0.32 +Stat. AD after spacings (mNP2-S) : 0.56 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:03:03.34 +CPU time used : 00:03:00.68 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) : 1.88 -p-value of test : 0.11 +Stat. AD on the N values (NP) : 1.79 +p-value of test : 0.12 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) : 0.70 -p-value of test : 0.55 +A2 test on the values of A2 (m-NP) : 0.40 +p-value of test : 0.84 -Test on the Nm values of W_{n,i}(mNP1): 0.37 -p-value of test : 0.88 +Test on the Nm values of W_{n,i}(mNP1): 0.44 +p-value of test : 0.81 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 +Number of jumps of Y : 151 +p-value of test : 0.48 -Stat. AD (mNP2) : 0.55 -p-value of test : 0.69 +Stat. AD (mNP2) : 0.73 +p-value of test : 0.54 -Stat. AD after spacings (mNP2-S) : 0.95 -p-value of test : 0.38 +Stat. AD after spacings (mNP2-S) : 2.25 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:03:19.02 +CPU time used : 00:03:19.68 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 5.72 -p-value of test : 0.57 +Chi-square statistic : 6.68 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:01:21.21 +CPU time used : 00:01:21.30 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 6.79 -p-value of test : 0.45 +Chi-square statistic : 1.35 +p-value of test : 0.99 ----------------------------------------------- -CPU time used : 00:01:32.50 +CPU time used : 00:01:37.56 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 8.61 -p-value of test : 0.97 +Chi-square statistic : 6.26 +p-value of test : 0.9950 ----------------------------------------------- -CPU time used : 00:01:20.34 +CPU time used : 00:01:28.06 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 18.60 -p-value of test : 0.42 +Chi-square statistic : 12.01 +p-value of test : 0.85 ----------------------------------------------- -CPU time used : 00:01:32.90 +CPU time used : 00:01:40.38 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 35.12 -p-value of test : 0.98 +Chi-square statistic : 49.67 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:01:39.81 +CPU time used : 00:01:58.89 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 40.19 -p-value of test : 0.92 +Chi-square statistic : 72.07 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:01:59.17 +CPU time used : 00:02:16.86 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 57.76 -p-value of test : 0.34 +Chi-square statistic : 47.07 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:01:59.42 +CPU time used : 00:02:17.90 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 56.94 -p-value of test : 0.37 +Chi-square statistic : 58.37 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:01:56.31 +CPU time used : 00:02:21.31 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 198.51 -p-value of test : 0.95 +Chi-square statistic : 240.57 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:02:10.81 +CPU time used : 00:02:18.94 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 429.65 -p-value of test : 0.55 +Chi-square statistic : 446.15 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:02:56.97 +CPU time used : 00:03:12.53 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1474.17 -p-value of test : 0.24 +Chi-square statistic : 1349.67 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:03:15.50 +CPU time used : 00:03:33.78 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7205.53 -p-value of test : 0.09 +Chi-square statistic : 6936.94 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:03:02.85 +CPU time used : 00:03:19.37 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.23 -p-value of test : 0.50 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.80 -Kolmogorov-Smirnov- statistic = D- : 0.090 -p-value of test : 0.87 +Kolmogorov-Smirnov- statistic = D- : 0.51 +p-value of test : 0.05 -Anderson-Darling statistic = A2 : 0.51 -p-value of test : 0.72 +Anderson-Darling statistic = A2 : 1.33 +p-value of test : 0.22 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 23.83 -p-value of test : 0.78 +Chi-square statistic : 37.17 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:01:44.81 +CPU time used : 00:01:51.67 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.035 -p-value of test : 0.95 +Kolmogorov-Smirnov+ statistic = D+ : 0.080 +p-value of test : 0.84 -Kolmogorov-Smirnov- statistic = D- : 0.23 -p-value of test : 0.30 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.35 -Anderson-Darling statistic = A2 : 0.58 -p-value of test : 0.67 +Anderson-Darling statistic = A2 : 0.43 +p-value of test : 0.81 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 69.35 -p-value of test : 0.19 +Chi-square statistic : 63.37 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:04:11.09 +CPU time used : 00:04:24.34 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 : 9.65 -p-value of test : 0.09 +Value of the statistic : 3.06 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:12.02 +CPU time used : 00:01:17.37 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 : 133.05 -p-value of test : 0.18 +Value of the statistic : 106.85 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:02:06.11 +CPU time used : 00:02:07.56 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 : 5010.31 -p-value of test : 0.61 +Value of the statistic : 5055.04 +p-value of test : 0.43 ----------------------------------------------- -CPU time used : 00:01:32.69 +CPU time used : 00:01:43.01 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 : 0.54 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:03:20.65 +CPU time used : 00:03:14.26 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 : 45629 -p-value of test : 0.88 +Observed number of collisions : 45785 +p-value of test : 0.67 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869629 - j = 1 : 399908743 - j = 2 : 45627 - j = 3 : 1 + j = 0 : 1743165869785 + j = 1 : 399908433 + j = 2 : 45779 + j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:28.80 +CPU time used : 00:04:04.96 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 : 45872 -p-value of test : 0.51 +Observed number of collisions : 45916 +p-value of test : 0.43 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869872 - j = 1 : 399908259 - j = 2 : 45866 - j = 3 : 3 + j = 0 : 1743165869916 + j = 1 : 399908173 + j = 2 : 45906 + j = 3 : 5 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:47.45 +CPU time used : 00:04:26.17 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.25 +Kolmogorov-Smirnov+ statistic = D+ : 0.020 +p-value of test : 0.96 -Kolmogorov-Smirnov- statistic = D- : 0.022 -p-value of test : 0.95 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.02 -Anderson-Darling statistic = A2 : 0.95 -p-value of test : 0.38 +Anderson-Darling statistic = A2 : 2.29 +p-value of test : 0.06 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.90 +p-value of test : 0.04 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.090 -p-value of test : 0.50 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.21 -Kolmogorov-Smirnov- statistic = D- : 0.094 -p-value of test : 0.46 +Kolmogorov-Smirnov- statistic = D- : 0.084 +p-value of test : 0.54 -Anderson-Darling statistic = A2 : 0.53 -p-value of test : 0.71 +Anderson-Darling statistic = A2 : 0.78 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:03:31.40 +CPU time used : 00:03:21.96 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.049 -p-value of test : 0.84 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.25 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.16 +Kolmogorov-Smirnov- statistic = D- : 0.065 +p-value of test : 0.74 -Anderson-Darling statistic = A2 : 1.02 -p-value of test : 0.35 +Anderson-Darling statistic = A2 : 0.56 +p-value of test : 0.68 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.18 +p-value of test : 0.67 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.30 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.15 -Kolmogorov-Smirnov- statistic = D- : 0.057 -p-value of test : 0.79 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.15 -Anderson-Darling statistic = A2 : 0.35 -p-value of test : 0.90 +Anderson-Darling statistic = A2 : 1.73 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:03:12.68 +CPU time used : 00:03:10.96 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.58 +Kolmogorov-Smirnov+ statistic = D+ : 0.098 +p-value of test : 0.64 -Kolmogorov-Smirnov- statistic = D- : 0.073 -p-value of test : 0.77 +Kolmogorov-Smirnov- statistic = D- : 0.086 +p-value of test : 0.71 -Anderson-Darling statistic = A2 : 0.28 -p-value of test : 0.96 +Anderson-Darling statistic = A2 : 0.54 +p-value of test : 0.70 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.57 +p-value of test : 0.78 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.051 -p-value of test : 0.87 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.14 -Kolmogorov-Smirnov- statistic = D- : 0.19 -p-value of test : 0.20 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.27 -Anderson-Darling statistic = A2 : 0.78 -p-value of test : 0.49 +Anderson-Darling statistic = A2 : 1.15 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:02:34.62 +CPU time used : 00:02:29.87 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.26 -p-value of test : 0.05 +Kolmogorov-Smirnov+ statistic = D+ : 0.034 +p-value of test : 0.94 -Kolmogorov-Smirnov- statistic = D- : 0.075 -p-value of test : 0.76 +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.20 -Anderson-Darling statistic = A2 : 1.25 -p-value of test : 0.25 +Anderson-Darling statistic = A2 : 0.72 +p-value of test : 0.54 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.85 +p-value of test : 0.16 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.47 +Kolmogorov-Smirnov+ statistic = D+ : 0.047 +p-value of test : 0.89 -Kolmogorov-Smirnov- statistic = D- : 0.094 -p-value of test : 0.66 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.25 -Anderson-Darling statistic = A2 : 0.56 -p-value of test : 0.68 +Anderson-Darling statistic = A2 : 0.83 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:02:50.64 +CPU time used : 00:02:56.30 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.048 -p-value of test : 0.80 +Kolmogorov-Smirnov+ statistic = D+ : 0.053 +p-value of test : 0.77 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.15 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.31 -Anderson-Darling statistic = A2 : 0.67 -p-value of test : 0.59 +Anderson-Darling statistic = A2 : 0.61 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:02:33.67 +CPU time used : 00:02:27.54 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.24 -p-value of test : 0.09 +Kolmogorov-Smirnov+ statistic = D+ : 0.32 +p-value of test : 0.01 -Kolmogorov-Smirnov- statistic = D- : 0.019 -p-value of test : 0.97 +Kolmogorov-Smirnov- statistic = D- : 0.071 +p-value of test : 0.78 -Anderson-Darling statistic = A2 : 2.86 -p-value of test : 0.03 +Anderson-Darling statistic = A2 : 3.75 +p-value of test : 0.01 ----------------------------------------------- -CPU time used : 00:01:46.42 +CPU time used : 00:01:46.07 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.43 +Kolmogorov-Smirnov+ statistic = D+ : 0.019 +p-value of test : 0.97 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.36 +Kolmogorov-Smirnov- statistic = D- : 0.24 +p-value of test : 0.09 -Anderson-Darling statistic = A2 : 0.94 -p-value of test : 0.39 +Anderson-Darling statistic = A2 : 2.87 +p-value of test : 0.03 ----------------------------------------------- -CPU time used : 00:02:20.54 +CPU time used : 00:02:17.12 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 2.17e-4 -p-value of test : 0.15 +Kolmogorov-Smirnov+ statistic = D+ : 3.15e-4 +p-value of test : 0.02 -Kolmogorov-Smirnov- statistic = D- : 3.61e-5 -p-value of test : 0.95 +Kolmogorov-Smirnov- statistic = D- : 1.48e-5 +p-value of test : 0.9913 -Anderson-Darling statistic = A2 : 2.02 -p-value of test : 0.09 +Anderson-Darling statistic = A2 : 2.60 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:00:32.82 +CPU time used : 00:00:33.81 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 8.62e-5 -p-value of test : 0.74 +Kolmogorov-Smirnov+ statistic = D+ : 4.50e-5 +p-value of test : 0.92 -Kolmogorov-Smirnov- statistic = D- : 2.20e-4 -p-value of test : 0.14 +Kolmogorov-Smirnov- statistic = D- : 1.69e-4 +p-value of test : 0.32 -Anderson-Darling statistic = A2 : 0.81 -p-value of test : 0.47 +Anderson-Darling statistic = A2 : 1.19 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:00:35.60 +CPU time used : 00:00:34.39 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.11 -p-value of test : 0.46 +Normal statistic : -1.51 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:00:34.64 +CPU time used : 00:00:35.42 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.83 -p-value of test : 0.80 +Normal statistic : 1.66 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:00:34.43 +CPU time used : 00:00:36.68 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 0.30 -p-value of test : 0.38 +Normal statistic : 1.67 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:02:02.62 +CPU time used : 00:02:09.12 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -0.57 -p-value of test : 0.72 +Normal statistic : 0.78 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:02:06.04 +CPU time used : 00:02:05.65 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 66.90 -p-value of test : 0.48 +Chi-square statistic : 66.43 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:01:28.97 +CPU time used : 00:01:27.52 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 53.93 -p-value of test : 0.88 +Chi-square statistic : 53.38 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:01:37.12 +CPU time used : 00:01:52.90 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 89.58 -p-value of test : 0.03 +Chi-square statistic : 79.79 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:01:40.29 +CPU time used : 00:01:45.37 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 32.44 -p-value of test : 0.68 +Chi-square statistic : 34.24 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:01:24.47 +CPU time used : 00:01:28.30 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 46.06 -p-value of test : 0.15 +Chi-square statistic : 43.12 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:01:39.63 +CPU time used : 00:02:01.03 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 23.54 -p-value of test : 0.96 +Chi-square statistic : 44.46 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:01:38.19 +CPU time used : 00:01:56.59 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 38.05 -p-value of test : 0.12 +Chi-square statistic : 29.21 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:02:50.04 +CPU time used : 00:03:02.48 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+ : 0.032 +p-value of test : 0.96 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.40 +Kolmogorov-Smirnov- statistic = D- : 0.39 +p-value of test : 0.03 -Anderson-Darling statistic = A2 : 0.24 -p-value of test : 0.98 +Anderson-Darling statistic = A2 : 3.39 +p-value of test : 0.02 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 39.32 -p-value of test : 0.50 +Chi-square statistic : 62.24 +p-value of test : 0.01 ----------------------------------------------- -CPU time used : 00:01:26.25 +CPU time used : 00:01:20.63 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.32 -p-value of test : 0.10 +Kolmogorov-Smirnov+ statistic = D+ : 0.055 +p-value of test : 0.91 -Kolmogorov-Smirnov- statistic = D- : 0.053 -p-value of test : 0.92 +Kolmogorov-Smirnov- statistic = D- : 0.24 +p-value of test : 0.28 -Anderson-Darling statistic = A2 : 1.37 -p-value of test : 0.21 +Anderson-Darling statistic = A2 : 0.73 +p-value of test : 0.53 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 26.44 -p-value of test : 0.95 +Chi-square statistic : 50.06 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:01:27.62 +CPU time used : 00:01:20.43 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 3.30 -p-value of test : 0.35 +Chi-square statistic : 5.24 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:02:15.45 +CPU time used : 00:02:42.25 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 2.73 -p-value of test : 0.43 +Chi-square statistic : 7.37 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:02:24.38 +CPU time used : 00:02:39.81 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 1.44 -p-value of test : 0.49 +Chi-square statistic : 1.27 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:01:32.95 +CPU time used : 00:01:35.64 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.37 -p-value of test : 0.83 +Chi-square statistic : 1.04 +p-value of test : 0.59 ----------------------------------------------- -CPU time used : 00:01:18.35 +CPU time used : 00:01:19.69 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.32 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.68 -Kolmogorov-Smirnov- statistic = D- : 0.25 -p-value of test : 0.26 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.75 -Anderson-Darling statistic = A2 : 0.82 -p-value of test : 0.46 +Anderson-Darling statistic = A2 : 0.33 +p-value of test : 0.92 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 131.11 -p-value of test : 0.46 +Chi-square statistic : 122.09 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:00:58.37 +CPU time used : 00:00:57.44 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.063 -p-value of test : 0.89 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.61 -Kolmogorov-Smirnov- statistic = D- : 0.27 -p-value of test : 0.19 +Kolmogorov-Smirnov- statistic = D- : 0.096 +p-value of test : 0.78 -Anderson-Darling statistic = A2 : 0.82 -p-value of test : 0.46 +Anderson-Darling statistic = A2 : 0.33 +p-value of test : 0.91 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17591.13 -p-value of test : 0.19 +Chi-square statistic :17317.55 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:01:53.78 +CPU time used : 00:01:52.20 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 : 28.01 -p-value of test : 0.83 +ChiSquare statistic : 28.86 +p-value of test : 0.80 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 31.89 -p-value of test : 0.62 +ChiSquare statistic : 24.93 +p-value of test : 0.90 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 21.37 -p-value of test : 0.67 +ChiSquare statistic : 10.11 +p-value of test : 0.9964 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 28.64 -p-value of test : 0.23 +ChiSquare statistic : 18.95 +p-value of test : 0.75 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 14.80 -p-value of test : 0.61 +ChiSquare statistic : 28.31 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:00:52.51 +CPU time used : 00:00:46.85 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 : 46.73 -p-value of test : 0.11 +ChiSquare statistic : 29.60 +p-value of test : 0.77 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 37.93 -p-value of test : 0.34 +ChiSquare statistic : 48.52 +p-value of test : 0.06 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 18.78 -p-value of test : 0.81 +ChiSquare statistic : 19.51 +p-value of test : 0.77 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 27.76 -p-value of test : 0.27 +ChiSquare statistic : 19.43 +p-value of test : 0.73 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 8.83 -p-value of test : 0.95 +ChiSquare statistic : 19.89 +p-value of test : 0.28 ----------------------------------------------- -CPU time used : 00:00:53.04 +CPU time used : 00:00:48.59 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 : 173.73 -p-value of test : 0.06 +ChiSquare statistic : 159.46 +p-value of test : 0.21 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 152.19 -p-value of test : 0.35 +ChiSquare statistic : 108.63 +p-value of test : 0.9911 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 534.78 -p-value of test : 0.14 +ChiSquare statistic : 518.97 +p-value of test : 0.27 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 149.62 -p-value of test : 0.20 +ChiSquare statistic : 159.94 +p-value of test : 0.08 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 83.41 -p-value of test : 0.21 +ChiSquare statistic : 68.97 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:01:02.20 +CPU time used : 00:01:00.71 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 : 142.70 -p-value of test : 0.56 +ChiSquare statistic : 159.97 +p-value of test : 0.20 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 115.30 -p-value of test : 0.97 +ChiSquare statistic : 145.84 +p-value of test : 0.49 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 534.93 -p-value of test : 0.14 +ChiSquare statistic : 545.40 +p-value of test : 0.08 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 137.01 -p-value of test : 0.46 +ChiSquare statistic : 146.15 +p-value of test : 0.26 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 72.85 -p-value of test : 0.52 +ChiSquare statistic : 92.96 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:00:59.95 +CPU time used : 00:00:58.10 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 : 400.39 -p-value of test : 0.27 +ChiSquare statistic : 349.75 +p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 368.40 -p-value of test : 0.71 +ChiSquare statistic : 323.14 +p-value of test : 0.99 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4854.66 -p-value of test : 0.93 +ChiSquare statistic : 4771.75 +p-value of test : 0.99 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 376.36 -p-value of test : 0.51 +ChiSquare statistic : 371.27 +p-value of test : 0.59 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 214.76 -p-value of test : 0.23 +ChiSquare statistic : 188.43 +p-value of test : 0.71 ----------------------------------------------- -CPU time used : 00:00:49.93 +CPU time used : 00:00:58.52 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 : 377.61 -p-value of test : 0.58 +ChiSquare statistic : 394.76 +p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 369.98 -p-value of test : 0.69 +ChiSquare statistic : 382.84 +p-value of test : 0.51 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5122.54 -p-value of test : 0.11 +ChiSquare statistic : 5023.75 +p-value of test : 0.40 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 384.64 -p-value of test : 0.40 +ChiSquare statistic : 338.16 +p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 174.34 -p-value of test : 0.90 +ChiSquare statistic : 187.58 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:00:50.01 +CPU time used : 00:00:51.44 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 17.68 -p-value of test : 0.13 +Chi2 statistic for size of jumps : 17.31 +p-value of test : 0.14 ----------------------------------------------- -Normal statistic for number of jumps : -403.29 +Normal statistic for number of jumps : -403.41 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:07.80 +CPU time used : 00:00:07.85 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 14.77 -p-value of test : 0.25 +Chi2 statistic for size of jumps : 12.11 +p-value of test : 0.44 ----------------------------------------------- -Normal statistic for number of jumps : -402.48 +Normal statistic for number of jumps : -402.43 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:07.82 +CPU time used : 00:00:08.04 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.48 +Kolmogorov-Smirnov+ statistic = D+ : 0.22 +p-value of test : 0.33 -Kolmogorov-Smirnov- statistic = D- : 0.072 +Kolmogorov-Smirnov- statistic = D- : 0.075 p-value of test : 0.86 -Anderson-Darling statistic = A2 : 0.67 -p-value of test : 0.58 +Anderson-Darling statistic = A2 : 1.01 +p-value of test : 0.35 Tests on the sum of all N observations -Standardized normal statistic : -0.93 -p-value of test : 0.83 +Standardized normal statistic : -1.34 +p-value of test : 0.91 -Sample variance : 1.37 -p-value of test : 0.20 +Sample variance : 1.56 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:00:57.62 +CPU time used : 00:00:58.59 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.41 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.37 -Kolmogorov-Smirnov- statistic = D- : 0.19 -p-value of test : 0.43 +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.33 -Anderson-Darling statistic = A2 : 0.67 -p-value of test : 0.58 +Anderson-Darling statistic = A2 : 0.96 +p-value of test : 0.38 Tests on the sum of all N observations -Standardized normal statistic : 0.10 -p-value of test : 0.46 +Standardized normal statistic : 0.35 +p-value of test : 0.36 -Sample variance : 0.37 -p-value of test : 0.95 +Sample variance : 0.30 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:01:01.36 +CPU time used : 00:00:59.20 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.016 -p-value of test : 0.13 +Kolmogorov-Smirnov+ statistic = D+ : 5.84e-3 +p-value of test : 0.75 -Kolmogorov-Smirnov- statistic = D- : 5.72e-3 -p-value of test : 0.76 +Kolmogorov-Smirnov- statistic = D- : 0.020 +p-value of test : 0.03 -Anderson-Darling statistic = A2 : 0.80 -p-value of test : 0.48 +Anderson-Darling statistic = A2 : 1.73 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:00:48.60 +CPU time used : 00:00:46.94 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.012 -p-value of test : 0.28 +Kolmogorov-Smirnov+ statistic = D+ : 0.024 +p-value of test : 0.01 -Kolmogorov-Smirnov- statistic = D- : 0.013 -p-value of test : 0.24 +Kolmogorov-Smirnov- statistic = D- : 5.23e-3 +p-value of test : 0.80 -Anderson-Darling statistic = A2 : 0.71 -p-value of test : 0.55 +Anderson-Darling statistic = A2 : 3.09 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:00:48.14 +CPU time used : 00:00:46.65 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 3.54 -p-value of test : 0.90 +Chi-square statistic : 4.03 +p-value of test : 0.85 ----------------------------------------------- -Global longest run of 1 : 34.00 -p-value of test : 0.25 +Global longest run of 1 : 35.00 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:01:41.54 +CPU time used : 00:01:43.27 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 13.19 -p-value of test : 0.11 +Chi-square statistic : 7.44 +p-value of test : 0.49 ----------------------------------------------- -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 : 00:01:45.72 +CPU time used : 00:01:47.03 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.61 +Kolmogorov-Smirnov+ statistic = D+ : 0.059 +p-value of test : 0.90 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.65 +Kolmogorov-Smirnov- statistic = D- : 0.35 +p-value of test : 0.06 -Anderson-Darling statistic = A2 : 0.34 -p-value of test : 0.90 +Anderson-Darling statistic = A2 : 2.29 +p-value of test : 0.06 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 188.94 -p-value of test : 0.70 +Chi-square statistic : 235.87 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:02:54.38 +CPU time used : 00:02:55.88 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 0.15 +Kolmogorov-Smirnov+ statistic = D+ : 0.056 +p-value of test : 0.91 -Kolmogorov-Smirnov- statistic = D- : 0.030 -p-value of test : 0.96 +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.33 -Anderson-Darling statistic = A2 : 1.07 -p-value of test : 0.32 +Anderson-Darling statistic = A2 : 0.52 +p-value of test : 0.72 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 173.91 -p-value of test : 0.91 +Chi-square statistic : 212.41 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:03:03.27 +CPU time used : 00:02:56.84 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.28 -p-value of test : 0.18 +Kolmogorov-Smirnov+ statistic = D+ : 0.47 +p-value of test : 7.8e-3 -Kolmogorov-Smirnov- statistic = D- : 0.095 -p-value of test : 0.79 +Kolmogorov-Smirnov- statistic = D- : 0.091 +p-value of test : 0.80 -Anderson-Darling statistic = A2 : 0.76 -p-value of test : 0.51 +Anderson-Darling statistic = A2 : 2.19 +p-value of test : 0.07 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9904.24 -p-value of test : 0.75 +Chi-square statistic : 9774.80 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:01:09.04 +CPU time used : 00:01:11.71 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.35 +Kolmogorov-Smirnov+ statistic = D+ : 0.056 +p-value of test : 0.91 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.73 +Kolmogorov-Smirnov- statistic = D- : 0.35 +p-value of test : 0.07 -Anderson-Darling statistic = A2 : 0.66 -p-value of test : 0.59 +Anderson-Darling statistic = A2 : 1.36 +p-value of test : 0.21 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9903.18 -p-value of test : 0.75 +Chi-square statistic :10179.39 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:01:10.96 +CPU time used : 00:01:13.75 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.36 -p-value of test : 0.64 +Normal statistic : -0.57 +p-value of test : 0.72 ----------------------------------------------- -CPU time used : 00:01:24.13 +CPU time used : 00:01:25.06 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -1.04 -p-value of test : 0.85 +Normal statistic : 2.31 +p-value of test : 0.01 ----------------------------------------------- -CPU time used : 00:01:19.54 +CPU time used : 00:01:21.73 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.31 -p-value of test : 0.38 +Normal statistic : -0.63 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:05:09.09 +CPU time used : 00:05:20.95 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.069 -p-value of test : 0.87 +Kolmogorov-Smirnov+ statistic = D+ : 0.29 +p-value of test : 0.15 -Kolmogorov-Smirnov- statistic = D- : 0.25 -p-value of test : 0.24 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.65 -Anderson-Darling statistic = A2 : 0.84 -p-value of test : 0.45 +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 : 4890 -Chi-square statistic : 4985.29 -p-value of test : 0.17 +Chi-square statistic : 4831.32 +p-value of test : 0.72 ----------------------------------------------- -CPU time used : 00:02:10.26 +CPU time used : 00:02:09.37 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.74 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.70 -Kolmogorov-Smirnov- statistic = D- : 0.41 -p-value of test : 0.03 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.57 -Anderson-Darling statistic = A2 : 1.36 -p-value of test : 0.21 +Anderson-Darling statistic = A2 : 0.29 +p-value of test : 0.94 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4990.13 -p-value of test : 0.16 +Chi-square statistic : 4904.89 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:02:14.45 +CPU time used : 00:02:09.54 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 : 4177.93 -p-value of test : 0.25 +Chi-square statistic : 4149.37 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:01:36.44 +CPU time used : 00:01:33.09 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 : 4108.48 -p-value of test : 0.53 +Chi-square statistic : 4085.31 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:01:42.10 +CPU time used : 00:01:39.95 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 :11744.33 -p-value of test : 0.70 +Chi-square statistic :11950.50 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:01:47.25 +CPU time used : 00:01:39.96 Generator state: N
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