http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/src/site/resources/txt/userguide/stress/tu/run_1/tu_2 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_1/tu_2 b/src/site/resources/txt/userguide/stress/tu/run_1/tu_2 index a5a08d0..3756331 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_1/tu_2 +++ b/src/site/resources/txt/userguide/stress/tu/run_1/tu_2 @@ -1,5 +1,5 @@ # -# RNG: org.apache.commons.math4.rng.internal.source32.MersenneTwister +# RNG: org.apache.commons.rng.internal.source32.MersenneTwister # # 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 : 0.78 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:02:11.53 +CPU time used : 00:02:37.06 Generator state: N/A @@ -81,11 +81,11 @@ Test Results for Delta = 1.0000 Number of degrees of freedom : 16711680 Value of the statistic : 1.67e+7 -p-value of test : 0.36 +p-value of test : 0.24 ----------------------------------------------- -CPU time used : 00:01:44.50 +CPU time used : 00:02:33.77 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 : 1411 -p-value of test : 0.11 +Observed number of collisions : 1363 +p-value of test : 0.51 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334531 - j = 1 : 599997178 - j = 2 : 1411 + j = 0 : 131940795334483 + j = 1 : 599997274 + j = 2 : 1363 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:15.49 +CPU time used : 00:04:35.42 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 : 1320 -p-value of test : 0.88 +Observed number of collisions : 1328 +p-value of test : 0.83 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334440 - j = 1 : 599997360 - j = 2 : 1320 + j = 0 : 131940795334448 + j = 1 : 599997344 + j = 2 : 1328 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:09.07 +CPU time used : 00:06:02.32 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 : 1376 -p-value of test : 0.38 +Observed number of collisions : 1372 +p-value of test : 0.42 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334496 - j = 1 : 599997248 - j = 2 : 1376 + j = 0 : 131940795334492 + j = 1 : 599997256 + j = 2 : 1372 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:24.32 +CPU time used : 00:08:42.35 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 : 1386 -p-value of test : 0.28 +Observed number of collisions : 1364 +p-value of test : 0.50 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334506 - j = 1 : 599997228 - j = 2 : 1386 + j = 0 : 131940795334484 + j = 1 : 599997272 + j = 2 : 1364 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:46.06 +CPU time used : 00:08:45.92 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 : 1393 -p-value of test : 0.22 +Observed number of collisions : 1391 +p-value of test : 0.24 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334513 - j = 1 : 599997214 - j = 2 : 1393 + j = 0 : 131940795334511 + j = 1 : 599997218 + j = 2 : 1391 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:58.92 +CPU time used : 00:09:24.84 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 : 1309 -p-value of test : 0.93 +Observed number of collisions : 1325 +p-value of test : 0.85 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334429 - j = 1 : 599997382 - j = 2 : 1309 + j = 0 : 131940795334445 + j = 1 : 599997350 + j = 2 : 1325 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:06.86 +CPU time used : 00:10:21.15 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 : 1372 -p-value of test : 0.42 +Observed number of collisions : 1335 +p-value of test : 0.78 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334492 - j = 1 : 599997256 - j = 2 : 1372 + j = 0 : 131940795334455 + j = 1 : 599997330 + j = 2 : 1335 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:48.82 +CPU time used : 00:09:40.71 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 : 1321 -p-value of test : 0.88 +Observed number of collisions : 1341 +p-value of test : 0.73 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334441 - j = 1 : 599997358 - j = 2 : 1321 + j = 0 : 131940795334461 + j = 1 : 599997318 + j = 2 : 1341 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:24.48 +CPU time used : 00:08:31.27 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 : 1314 -p-value of test : 0.91 +Observed number of collisions : 1448 +p-value of test : 0.01 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334434 - j = 1 : 599997372 - j = 2 : 1314 + j = 0 : 131940795334568 + j = 1 : 599997104 + j = 2 : 1448 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:23.86 +CPU time used : 00:10:10.94 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 : 1419 -p-value of test : 0.07 +Observed number of collisions : 1391 +p-value of test : 0.24 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334539 - j = 1 : 599997162 - j = 2 : 1419 + j = 0 : 131940795334511 + j = 1 : 599997218 + j = 2 : 1391 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:25.94 +CPU time used : 00:08:23.40 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5515 -p-value of test : 0.10 +Total observed number : 5383 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:04:29.46 +CPU time used : 00:05:38.17 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4488 -p-value of test : 0.01 +Total observed number : 4305 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:01:55.23 +CPU time used : 00:02:29.98 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7219 -p-value of test : 0.88 +Total observed number : 7326 +p-value of test : 0.47 ----------------------------------------------- -CPU time used : 00:03:13.53 +CPU time used : 00:04:16.15 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4328 -p-value of test : 0.55 +Total observed number : 4277 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:02:26.92 +CPU time used : 00:03:07.10 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4154 -p-value of test : 0.9973 +Total observed number : 4313 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:02:33.42 +CPU time used : 00:03:20.85 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7210 -p-value of test : 0.90 +Total observed number : 7327 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:04:00.46 +CPU time used : 00:05:21.22 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7227 -p-value of test : 0.86 +Total observed number : 7303 +p-value of test : 0.57 ----------------------------------------------- -CPU time used : 00:04:04.68 +CPU time used : 00:05:25.52 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7468 -p-value of test : 0.04 +Total observed number : 7308 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:05:15.89 +CPU time used : 00:06:56.38 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7188 -p-value of test : 0.94 +Total observed number : 7330 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:05:37.14 +CPU time used : 00:07:38.61 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) : 2.06 -p-value of test : 0.09 +Stat. AD on the N values (NP) : 1.25 +p-value of test : 0.25 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) : 1.56 -p-value of test : 0.16 +A2 test on the values of A2 (m-NP) : 0.46 +p-value of test : 0.79 -Test on the Nm values of W_{n,i}(mNP1): 1.21 -p-value of test : 0.26 +Test on the Nm values of W_{n,i}(mNP1): 0.82 +p-value of test : 0.47 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 912 -p-value of test : 0.35 +Number of jumps of Y : 890 +p-value of test : 0.62 -Stat. AD (mNP2) : 2.55 -p-value of test : 0.05 +Stat. AD (mNP2) : 0.46 +p-value of test : 0.79 -Stat. AD after spacings (mNP2-S) : 1.59 -p-value of test : 0.16 +Stat. AD after spacings (mNP2-S) : 0.61 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:03:13.25 +CPU time used : 00:03:57.31 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) : 0.58 -p-value of test : 0.67 +Stat. AD on the N values (NP) : 0.36 +p-value of test : 0.89 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) : 0.94 -p-value of test : 0.39 +A2 test on the values of A2 (m-NP) : 1.88 +p-value of test : 0.11 -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): 0.49 +p-value of test : 0.76 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 608 -p-value of test : 0.38 +Number of jumps of Y : 598 +p-value of test : 0.52 -Stat. AD (mNP2) : 0.42 -p-value of test : 0.83 +Stat. AD (mNP2) : 1.09 +p-value of test : 0.31 -Stat. AD after spacings (mNP2-S) : 1.59 -p-value of test : 0.16 +Stat. AD after spacings (mNP2-S) : 1.05 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:02:05.60 +CPU time used : 00:02:36.45 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) : 0.91 -p-value of test : 0.40 +Stat. AD on the N values (NP) : 0.43 +p-value of test : 0.82 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) : 0.82 -p-value of test : 0.46 +A2 test on the values of A2 (m-NP) : 2.18 +p-value of test : 0.07 -Test on the Nm values of W_{n,i}(mNP1): 0.77 -p-value of test : 0.50 +Test on the Nm values of W_{n,i}(mNP1): 0.37 +p-value of test : 0.87 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 : 307 +p-value of test : 0.35 -Stat. AD (mNP2) : 0.68 -p-value of test : 0.57 +Stat. AD (mNP2) : 0.43 +p-value of test : 0.82 -Stat. AD after spacings (mNP2-S) : 0.63 -p-value of test : 0.62 +Stat. AD after spacings (mNP2-S) : 0.67 +p-value of test : 0.59 ----------------------------------------------- -CPU time used : 00:03:05.35 +CPU time used : 00:03:59.13 Generator state: N/A @@ -1031,34 +1031,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.61 -p-value of test : 0.63 +Stat. AD on the N values (NP) : 0.35 +p-value of test : 0.90 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 3.58 -p-value of test : 0.02 +A2 test on the values of A2 (m-NP) : 1.32 +p-value of test : 0.22 -Test on the Nm values of W_{n,i}(mNP1): 0.44 -p-value of test : 0.81 +Test on the Nm values of W_{n,i}(mNP1): 1.05 +p-value of test : 0.33 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 159 -p-value of test : 0.24 +Number of jumps of Y : 135 +p-value of test : 0.88 -Stat. AD (mNP2) : 0.36 -p-value of test : 0.89 +Stat. AD (mNP2) : 1.05 +p-value of test : 0.33 -Stat. AD after spacings (mNP2-S) : 1.30 -p-value of test : 0.23 +Stat. AD after spacings (mNP2-S) : 0.77 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:03:17.78 +CPU time used : 00:04:55.10 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 3.90 -p-value of test : 0.79 +Chi-square statistic : 5.43 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:01:18.72 +CPU time used : 00:01:45.84 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 13.09 -p-value of test : 0.07 +Chi-square statistic : 9.29 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:01:33.47 +CPU time used : 00:02:01.95 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 15.57 -p-value of test : 0.62 +Chi-square statistic : 18.28 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:01:20.00 +CPU time used : 00:01:40.23 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 24.53 -p-value of test : 0.14 +Chi-square statistic : 15.32 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:01:31.75 +CPU time used : 00:01:57.85 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 57.57 -p-value of test : 0.34 +Chi-square statistic : 55.64 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:01:41.81 +CPU time used : 00:02:09.38 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 55.74 -p-value of test : 0.41 +Chi-square statistic : 61.51 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:01:58.78 +CPU time used : 00:02:31.23 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 59.94 -p-value of test : 0.27 +Chi-square statistic : 41.35 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:02:01.02 +CPU time used : 00:02:28.95 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 42.26 -p-value of test : 0.88 +Chi-square statistic : 70.03 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:02:01.14 +CPU time used : 00:02:26.07 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 239.65 -p-value of test : 0.35 +Chi-square statistic : 229.92 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:02:16.44 +CPU time used : 00:02:42.29 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 433.97 -p-value of test : 0.49 +Chi-square statistic : 405.99 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:03:10.78 +CPU time used : 00:03:53.79 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1417.11 -p-value of test : 0.64 +Chi-square statistic : 1454.67 +p-value of test : 0.37 ----------------------------------------------- -CPU time used : 00:03:06.19 +CPU time used : 00:04:00.61 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7079.51 -p-value of test : 0.39 +Chi-square statistic : 7081.63 +p-value of test : 0.38 ----------------------------------------------- -CPU time used : 00:03:21.94 +CPU time used : 00:04:02.65 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.34 -p-value of test : 0.25 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.67 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.68 +Kolmogorov-Smirnov- statistic = D- : 0.36 +p-value of test : 0.21 -Anderson-Darling statistic = A2 : 0.56 -p-value of test : 0.68 +Anderson-Darling statistic = A2 : 0.70 +p-value of test : 0.55 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 24.85 -p-value of test : 0.73 +Chi-square statistic : 32.66 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:01:47.52 +CPU time used : 00:02:01.63 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.38 +Kolmogorov-Smirnov+ statistic = D+ : 0.040 +p-value of test : 0.94 -Kolmogorov-Smirnov- statistic = D- : 0.19 -p-value of test : 0.44 +Kolmogorov-Smirnov- statistic = D- : 0.42 +p-value of test : 0.02 -Anderson-Darling statistic = A2 : 0.58 -p-value of test : 0.67 +Anderson-Darling statistic = A2 : 2.18 +p-value of test : 0.07 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 61.90 -p-value of test : 0.41 +Chi-square statistic : 79.54 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:04:17.06 +CPU time used : 00:04:54.29 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 : 4.02 -p-value of test : 0.55 +Value of the statistic : 7.94 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:01:12.70 +CPU time used : 00:01:30.18 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 : 128.54 -p-value of test : 0.26 +Value of the statistic : 137.31 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:02:09.12 +CPU time used : 00:02:33.95 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 : 5131.07 -p-value of test : 0.18 +Value of the statistic : 5133.33 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:01:34.00 +CPU time used : 00:01:55.54 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 : 0.49 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:03:00.13 +CPU time used : 00:03:55.65 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 : 45973 -p-value of test : 0.33 +Observed number of collisions : 46214 +p-value of test : 0.06 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869973 - j = 1 : 399908059 - j = 2 : 45963 + j = 0 : 1743165870214 + j = 1 : 399907577 + j = 2 : 46204 j = 3 : 5 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:36.55 +CPU time used : 00:04:57.93 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 : 45800 -p-value of test : 0.64 +Observed number of collisions : 45880 +p-value of test : 0.50 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869800 - j = 1 : 399908402 - j = 2 : 45796 + j = 0 : 1743165869880 + j = 1 : 399908242 + j = 2 : 45876 j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:48.96 +CPU time used : 00:05:50.56 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.12 +Kolmogorov-Smirnov+ statistic = D+ : 0.096 +p-value of test : 0.45 -Kolmogorov-Smirnov- statistic = D- : 0.025 -p-value of test : 0.94 +Kolmogorov-Smirnov- statistic = D- : 0.061 +p-value of test : 0.71 -Anderson-Darling statistic = A2 : 0.98 -p-value of test : 0.37 +Anderson-Darling statistic = A2 : 0.53 +p-value of test : 0.71 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.87 +p-value of test : 0.75 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.18 +Kolmogorov-Smirnov+ statistic = D+ : 0.023 +p-value of test : 0.94 -Kolmogorov-Smirnov- statistic = D- : 0.086 -p-value of test : 0.52 +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.04 -Anderson-Darling statistic = A2 : 1.63 -p-value of test : 0.15 +Anderson-Darling statistic = A2 : 3.64 +p-value of test : 0.01 ----------------------------------------------- -CPU time used : 00:03:31.96 +CPU time used : 00:04:31.14 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.066 -p-value of test : 0.74 +Kolmogorov-Smirnov+ statistic = D+ : 0.072 +p-value of test : 0.70 -Kolmogorov-Smirnov- statistic = D- : 0.073 -p-value of test : 0.69 +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.10 -Anderson-Darling statistic = A2 : 0.34 -p-value of test : 0.90 +Anderson-Darling statistic = A2 : 1.11 +p-value of test : 0.30 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.40 +p-value of test : 0.23 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.46 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.35 -Kolmogorov-Smirnov- statistic = D- : 0.079 -p-value of test : 0.66 +Kolmogorov-Smirnov- statistic = D- : 0.040 +p-value of test : 0.88 -Anderson-Darling statistic = A2 : 0.43 -p-value of test : 0.81 +Anderson-Darling statistic = A2 : 0.45 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:03:18.34 +CPU time used : 00:04:18.06 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.48 +Kolmogorov-Smirnov+ statistic = D+ : 0.22 +p-value of test : 0.13 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.26 +Kolmogorov-Smirnov- statistic = D- : 0.062 +p-value of test : 0.82 -Anderson-Darling statistic = A2 : 0.61 -p-value of test : 0.64 +Anderson-Darling statistic = A2 : 1.01 +p-value of test : 0.35 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.46 +p-value of test : 0.79 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.39 +Kolmogorov-Smirnov+ statistic = D+ : 0.073 +p-value of test : 0.77 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.17 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.44 -Anderson-Darling statistic = A2 : 1.00 -p-value of test : 0.35 +Anderson-Darling statistic = A2 : 0.64 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:02:32.03 +CPU time used : 00:03:15.29 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.096 -p-value of test : 0.65 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.34 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.17 +Kolmogorov-Smirnov- statistic = D- : 0.020 +p-value of test : 0.97 -Anderson-Darling statistic = A2 : 0.71 -p-value of test : 0.55 +Anderson-Darling statistic = A2 : 0.83 +p-value of test : 0.46 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.26 +p-value of test : 0.89 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.046 -p-value of test : 0.89 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.52 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.32 +Kolmogorov-Smirnov- statistic = D- : 0.048 +p-value of test : 0.88 -Anderson-Darling statistic = A2 : 0.79 -p-value of test : 0.49 +Anderson-Darling statistic = A2 : 0.39 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:02:59.50 +CPU time used : 00:03:42.79 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.13 +Kolmogorov-Smirnov+ statistic = D+ : 0.026 +p-value of test : 0.93 -Kolmogorov-Smirnov- statistic = D- : 0.10 -p-value of test : 0.41 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.15 -Anderson-Darling statistic = A2 : 1.17 -p-value of test : 0.28 +Anderson-Darling statistic = A2 : 1.50 +p-value of test : 0.18 ----------------------------------------------- -CPU time used : 00:02:29.73 +CPU time used : 00:03:09.03 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.18 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.43 -Kolmogorov-Smirnov- statistic = D- : 0.057 -p-value of test : 0.85 +Kolmogorov-Smirnov- statistic = D- : 0.086 +p-value of test : 0.70 -Anderson-Darling statistic = A2 : 1.37 -p-value of test : 0.21 +Anderson-Darling statistic = A2 : 0.73 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:01:45.30 +CPU time used : 00:02:13.62 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.12 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.45 -Kolmogorov-Smirnov- statistic = D- : 0.057 -p-value of test : 0.85 +Kolmogorov-Smirnov- statistic = D- : 0.042 +p-value of test : 0.91 -Anderson-Darling statistic = A2 : 1.06 -p-value of test : 0.33 +Anderson-Darling statistic = A2 : 0.43 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:02:13.27 +CPU time used : 00:02:48.34 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.36e-4 -p-value of test : 0.48 +Kolmogorov-Smirnov+ statistic = D+ : 1.30e-4 +p-value of test : 0.51 -Kolmogorov-Smirnov- statistic = D- : 6.86e-5 -p-value of test : 0.83 +Kolmogorov-Smirnov- statistic = D- : 2.47e-4 +p-value of test : 0.09 -Anderson-Darling statistic = A2 : 0.67 -p-value of test : 0.59 +Anderson-Darling statistic = A2 : 1.25 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:00:32.50 +CPU time used : 00:00:41.01 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.43e-4 -p-value of test : 0.44 +Kolmogorov-Smirnov+ statistic = D+ : 1.23e-4 +p-value of test : 0.55 -Kolmogorov-Smirnov- statistic = D- : 1.14e-4 -p-value of test : 0.59 +Kolmogorov-Smirnov- statistic = D- : 1.54e-4 +p-value of test : 0.39 -Anderson-Darling statistic = A2 : 0.31 -p-value of test : 0.93 +Anderson-Darling statistic = A2 : 0.67 +p-value of test : 0.58 ----------------------------------------------- -CPU time used : 00:00:34.96 +CPU time used : 00:00:43.87 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 1.55 -p-value of test : 0.06 +Normal statistic : 0.84 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:00:32.40 +CPU time used : 00:00:43.47 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.85 -p-value of test : 0.20 +Normal statistic : -0.29 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:00:36.92 +CPU time used : 00:00:43.80 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -1.70 -p-value of test : 0.96 +Normal statistic : 1.05 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:02:01.87 +CPU time used : 00:02:25.36 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 0.042 -p-value of test : 0.48 +Normal statistic : -0.58 +p-value of test : 0.72 ----------------------------------------------- -CPU time used : 00:02:10.54 +CPU time used : 00:02:29.71 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 62.70 -p-value of test : 0.63 +Chi-square statistic : 62.24 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:01:28.00 +CPU time used : 00:01:43.53 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 64.08 -p-value of test : 0.58 +Chi-square statistic : 86.84 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:01:38.85 +CPU time used : 00:02:11.81 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 76.76 -p-value of test : 0.19 +Chi-square statistic : 81.98 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:01:35.68 +CPU time used : 00:02:10.15 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 43.17 -p-value of test : 0.22 +Chi-square statistic : 31.39 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:01:26.23 +CPU time used : 00:01:42.44 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 38.02 -p-value of test : 0.42 +Chi-square statistic : 36.20 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:01:39.23 +CPU time used : 00:02:10.47 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 36.57 -p-value of test : 0.49 +Chi-square statistic : 30.52 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:01:36.88 +CPU time used : 00:02:09.44 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 38.86 -p-value of test : 0.10 +Chi-square statistic : 31.83 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:02:39.80 +CPU time used : 00:03:20.21 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.10 -p-value of test : 0.75 +Kolmogorov-Smirnov+ statistic = D+ : 0.31 +p-value of test : 0.13 -Kolmogorov-Smirnov- statistic = D- : 0.22 -p-value of test : 0.34 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.62 -Anderson-Darling statistic = A2 : 0.74 -p-value of test : 0.52 +Anderson-Darling statistic = A2 : 1.27 +p-value of test : 0.24 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 48.85 -p-value of test : 0.16 +Chi-square statistic : 27.89 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:01:24.14 +CPU time used : 00:01:49.37 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.37 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.53 -Kolmogorov-Smirnov- statistic = D- : 0.092 -p-value of test : 0.80 +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.32 -Anderson-Darling statistic = A2 : 0.72 -p-value of test : 0.54 +Anderson-Darling statistic = A2 : 0.62 +p-value of test : 0.63 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 37.83 -p-value of test : 0.57 +Chi-square statistic : 42.85 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:01:24.03 +CPU time used : 00:01:50.15 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 1.28 -p-value of test : 0.73 +Chi-square statistic : 2.51 +p-value of test : 0.47 ----------------------------------------------- -CPU time used : 00:02:19.68 +CPU time used : 00:03:04.46 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 0.86 -p-value of test : 0.83 +Chi-square statistic : 0.74 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:02:14.93 +CPU time used : 00:03:04.52 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 1.48 -p-value of test : 0.48 +Chi-square statistic : 0.91 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:01:31.90 +CPU time used : 00:02:06.26 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.32 -p-value of test : 0.85 +Chi-square statistic : 0.51 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:01:17.80 +CPU time used : 00:01:43.54 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.36 -p-value of test : 0.06 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.35 -Kolmogorov-Smirnov- statistic = D- : 0.097 -p-value of test : 0.78 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.75 -Anderson-Darling statistic = A2 : 2.38 -p-value of test : 0.06 +Anderson-Darling statistic = A2 : 0.77 +p-value of test : 0.50 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 114.27 -p-value of test : 0.84 +Chi-square statistic : 130.42 +p-value of test : 0.47 ----------------------------------------------- -CPU time used : 00:01:00.76 +CPU time used : 00:01:12.52 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.070 -p-value of test : 0.87 +Kolmogorov-Smirnov+ statistic = D+ : 0.029 +p-value of test : 0.96 -Kolmogorov-Smirnov- statistic = D- : 0.24 -p-value of test : 0.28 +Kolmogorov-Smirnov- statistic = D- : 0.31 +p-value of test : 0.12 -Anderson-Darling statistic = A2 : 0.74 -p-value of test : 0.53 +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 : 17430 -Chi-square statistic :17567.36 -p-value of test : 0.23 +Chi-square statistic :17668.11 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:01:52.02 +CPU time used : 00:02:02.45 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 : 37.11 -p-value of test : 0.42 +ChiSquare statistic : 33.64 +p-value of test : 0.58 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 22.66 -p-value of test : 0.95 +ChiSquare statistic : 33.35 +p-value of test : 0.55 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 18.11 -p-value of test : 0.84 +ChiSquare statistic : 18.67 +p-value of test : 0.81 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 15.81 -p-value of test : 0.89 +ChiSquare statistic : 28.45 +p-value of test : 0.24 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 14.70 -p-value of test : 0.62 +ChiSquare statistic : 9.67 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:00:48.39 +CPU time used : 00:01:01.09 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 : 35.40 -p-value of test : 0.50 +ChiSquare statistic : 39.27 +p-value of test : 0.33 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 33.85 -p-value of test : 0.52 +ChiSquare statistic : 31.17 +p-value of test : 0.65 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 22.34 -p-value of test : 0.62 +ChiSquare statistic : 41.43 +p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 25.93 -p-value of test : 0.36 +ChiSquare statistic : 20.21 +p-value of test : 0.68 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 18.27 -p-value of test : 0.37 +ChiSquare statistic : 20.09 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:00:50.95 +CPU time used : 00:01:02.36 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 : 146.31 -p-value of test : 0.48 +ChiSquare statistic : 143.05 +p-value of test : 0.55 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 184.08 -p-value of test : 0.02 +ChiSquare statistic : 155.82 +p-value of test : 0.27 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 528.82 -p-value of test : 0.18 +ChiSquare statistic : 465.45 +p-value of test : 0.86 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 145.17 -p-value of test : 0.28 +ChiSquare statistic : 152.43 +p-value of test : 0.16 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 60.10 -p-value of test : 0.88 +ChiSquare statistic : 84.27 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:00:56.57 +CPU time used : 00:01:19.50 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 : 176.10 -p-value of test : 0.05 +ChiSquare statistic : 128.53 +p-value of test : 0.85 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 157.33 -p-value of test : 0.25 +ChiSquare statistic : 128.97 +p-value of test : 0.84 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 514.13 -p-value of test : 0.32 +ChiSquare statistic : 490.96 +p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 127.05 -p-value of test : 0.70 +ChiSquare statistic : 161.92 +p-value of test : 0.06 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 59.13 -p-value of test : 0.90 +ChiSquare statistic : 56.68 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:01:06.29 +CPU time used : 00:01:20.27 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 : 411.70 -p-value of test : 0.16 +ChiSquare statistic : 421.50 +p-value of test : 0.09 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 407.33 -p-value of test : 0.20 +ChiSquare statistic : 411.83 +p-value of test : 0.16 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5104.32 -p-value of test : 0.15 +ChiSquare statistic : 4884.42 +p-value of test : 0.88 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 377.75 -p-value of test : 0.49 +ChiSquare statistic : 355.98 +p-value of test : 0.79 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 196.48 -p-value of test : 0.56 +ChiSquare statistic : 217.17 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:00:53.54 +CPU time used : 00:01:06.36 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 : 348.80 -p-value of test : 0.90 +ChiSquare statistic : 397.39 +p-value of test : 0.31 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 377.62 -p-value of test : 0.58 +ChiSquare statistic : 418.16 +p-value of test : 0.11 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4956.05 -p-value of test : 0.67 +ChiSquare statistic : 5020.58 +p-value of test : 0.42 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 445.79 -p-value of test : 9.2e-3 +ChiSquare statistic : 383.68 +p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 191.26 -p-value of test : 0.66 +ChiSquare statistic : 207.53 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:00:53.84 +CPU time used : 00:01:07.08 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 13.08 -p-value of test : 0.36 +Chi2 statistic for size of jumps : 7.90 +p-value of test : 0.79 ----------------------------------------------- -Normal statistic for number of jumps : -402.60 +Normal statistic for number of jumps : -402.74 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:07.81 +CPU time used : 00:00:11.45 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 6.08 -p-value of test : 0.91 +Chi2 statistic for size of jumps : 21.13 +p-value of test : 0.05 ----------------------------------------------- -Normal statistic for number of jumps : -402.61 +Normal statistic for number of jumps : -403.23 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:07.95 +CPU time used : 00:00:11.75 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.35 -p-value of test : 0.07 +Kolmogorov-Smirnov+ statistic = D+ : 0.098 +p-value of test : 0.77 -Kolmogorov-Smirnov- statistic = D- : 0.067 -p-value of test : 0.88 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.45 -Anderson-Darling statistic = A2 : 1.53 -p-value of test : 0.17 +Anderson-Darling statistic = A2 : 0.28 +p-value of test : 0.95 Tests on the sum of all N observations -Standardized normal statistic : -1.45 -p-value of test : 0.93 +Standardized normal statistic : 0.11 +p-value of test : 0.45 -Sample variance : 0.63 -p-value of test : 0.77 +Sample variance : 0.95 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:01:11.18 +CPU time used : 00:01:02.27 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.090 -p-value of test : 0.80 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.65 -Kolmogorov-Smirnov- statistic = D- : 0.23 -p-value of test : 0.31 +Kolmogorov-Smirnov- statistic = D- : 0.40 +p-value of test : 0.03 -Anderson-Darling statistic = A2 : 0.46 -p-value of test : 0.79 +Anderson-Darling statistic = A2 : 1.80 +p-value of test : 0.12 Tests on the sum of all N observations -Standardized normal statistic : 0.59 -p-value of test : 0.28 +Standardized normal statistic : 0.79 +p-value of test : 0.22 -Sample variance : 0.61 -p-value of test : 0.79 +Sample variance : 1.02 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:01:06.37 +CPU time used : 00:01:15.75 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 3.06e-3 -p-value of test : 0.92 +Kolmogorov-Smirnov+ statistic = D+ : 3.90e-3 +p-value of test : 0.88 Kolmogorov-Smirnov- statistic = D- : 0.013 -p-value of test : 0.24 +p-value of test : 0.25 -Anderson-Darling statistic = A2 : 0.68 -p-value of test : 0.58 +Anderson-Darling statistic = A2 : 0.58 +p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:00:47.30 +CPU time used : 00:00:57.52 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.017 -p-value of test : 0.09 +Kolmogorov-Smirnov+ statistic = D+ : 9.25e-3 +p-value of test : 0.49 -Kolmogorov-Smirnov- statistic = D- : 5.67e-3 -p-value of test : 0.77 +Kolmogorov-Smirnov- statistic = D- : 7.33e-3 +p-value of test : 0.64 -Anderson-Darling statistic = A2 : 1.25 -p-value of test : 0.25 +Anderson-Darling statistic = A2 : 0.31 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:00:46.72 +CPU time used : 00:00:55.81 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 9.36 -p-value of test : 0.31 +Chi-square statistic : 4.98 +p-value of test : 0.76 ----------------------------------------------- -Global longest run of 1 : 34.00 -p-value of test : 0.25 +Global longest run of 1 : 30.00 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:01:45.77 +CPU time used : 00:01:55.27 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 9.93 -p-value of test : 0.27 +Chi-square statistic : 5.48 +p-value of test : 0.71 ----------------------------------------------- -Global longest run of 1 : 34.00 -p-value of test : 0.25 +Global longest run of 1 : 38.00 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:01:50.12 +CPU time used : 00:01:57.00 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.63 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.67 -Kolmogorov-Smirnov- statistic = D- : 0.28 -p-value of test : 0.18 +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.26 -Anderson-Darling statistic = A2 : 0.59 -p-value of test : 0.66 +Anderson-Darling statistic = A2 : 0.94 +p-value of test : 0.39 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 208.50 -p-value of test : 0.33 +Chi-square statistic : 218.72 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:02:53.77 +CPU time used : 00:03:31.02 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.070 -p-value of test : 0.87 +Kolmogorov-Smirnov+ statistic = D+ : 0.35 +p-value of test : 0.07 -Kolmogorov-Smirnov- statistic = D- : 0.29 -p-value of test : 0.15 +Kolmogorov-Smirnov- statistic = D- : 0.039 +p-value of test : 0.94 -Anderson-Darling statistic = A2 : 0.69 -p-value of test : 0.57 +Anderson-Darling statistic = A2 : 1.24 +p-value of test : 0.25 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 212.91 -p-value of test : 0.25 +Chi-square statistic : 171.46 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:02:57.12 +CPU time used : 00:03:34.70 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.059 -p-value of test : 0.90 +Kolmogorov-Smirnov+ statistic = D+ : 0.28 +p-value of test : 0.18 -Kolmogorov-Smirnov- statistic = D- : 0.23 -p-value of test : 0.31 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.59 -Anderson-Darling statistic = A2 : 0.59 -p-value of test : 0.65 +Anderson-Darling statistic = A2 : 0.82 +p-value of test : 0.46 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10120.05 -p-value of test : 0.20 +Chi-square statistic : 9931.12 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:11.12 +CPU time used : 00:01:18.38 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.26 -p-value of test : 0.21 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.63 -Kolmogorov-Smirnov- statistic = D- : 0.053 -p-value of test : 0.91 +Kolmogorov-Smirnov- statistic = D- : 0.26 +p-value of test : 0.23 -Anderson-Darling statistic = A2 : 1.12 -p-value of test : 0.30 +Anderson-Darling statistic = A2 : 0.70 +p-value of test : 0.56 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9810.19 -p-value of test : 0.91 +Chi-square statistic :10040.75 +p-value of test : 0.38 ----------------------------------------------- -CPU time used : 00:01:13.86 +CPU time used : 00:01:20.54 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 2.13 -p-value of test : 0.02 +Normal statistic : -0.94 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:01:23.78 +CPU time used : 00:01:33.33 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.56 -p-value of test : 0.71 +Normal statistic : -0.85 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:01:20.48 +CPU time used : 00:01:28.50 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.57 -p-value of test : 0.71 +Normal statistic : 0.86 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:05:20.31 +CPU time used : 00:05:45.47 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.021 -p-value of test : 0.98 +Kolmogorov-Smirnov+ statistic = D+ : 0.28 +p-value of test : 0.18 -Kolmogorov-Smirnov- statistic = D- : 0.31 -p-value of test : 0.12 +Kolmogorov-Smirnov- statistic = D- : 0.084 +p-value of test : 0.82 -Anderson-Darling statistic = A2 : 1.18 -p-value of test : 0.28 +Anderson-Darling statistic = A2 : 0.85 +p-value of test : 0.44 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 5027.29 -p-value of test : 0.08 +Chi-square statistic : 4788.79 +p-value of test : 0.85 ----------------------------------------------- -CPU time used : 00:02:14.60 +CPU time used : 00:02:31.45 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.10 -p-value of test : 0.76 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.60 Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.65 +p-value of test : 0.67 -Anderson-Darling statistic = A2 : 0.21 -p-value of test : 0.99 +Anderson-Darling statistic = A2 : 0.32 +p-value of test : 0.92 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4889.41 -p-value of test : 0.50 +Chi-square statistic : 4871.05 +p-value of test : 0.57 ----------------------------------------------- -CPU time used : 00:02:16.51 +CPU time used : 00:02:35.00 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 : 4135.26 -p-value of test : 0.42 +Chi-square statistic : 4284.79 +p-value of test : 0.03 ----------------------------------------------- -CPU time used : 00:01:39.98 +CPU time used : 00:01:51.36 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 : 4151.88 -p-value of test : 0.35 +Chi-square statistic : 4203.29 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:01:40.01 +CPU time used : 00:01:54.27 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 :11710.85 -p-value of test : 0.77 +Chi-square statistic :12018.89 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:01:46.18 +CPU time used : 00:02:01.00 Generator state: N/A @@ -3549,11 +3549,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom :
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