http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/src/site/resources/txt/userguide/stress/tu/run_1/tu_9 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_1/tu_9 b/src/site/resources/txt/userguide/stress/tu/run_1/tu_9 index c937529..a77406d 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_1/tu_9 +++ b/src/site/resources/txt/userguide/stress/tu/run_1/tu_9 @@ -1,5 +1,5 @@ # -# RNG: org.apache.commons.math4.rng.internal.source32.ISAACRandom +# RNG: org.apache.commons.rng.internal.source32.ISAACRandom # # 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 : 0.73 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:01:47.81 +CPU time used : 00:02:24.43 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 : 0.68 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:01:55.15 +CPU time used : 00:02:32.14 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 : 1372 -p-value of test : 0.42 +Observed number of collisions : 1366 +p-value of test : 0.48 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334492 - j = 1 : 599997256 - j = 2 : 1372 + j = 0 : 131940795334486 + j = 1 : 599997268 + j = 2 : 1366 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:03:53.12 +CPU time used : 00:06:47.44 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 : 1366 -p-value of test : 0.48 +Observed number of collisions : 1361 +p-value of test : 0.53 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334486 - j = 1 : 599997268 - j = 2 : 1366 + j = 0 : 131940795334481 + j = 1 : 599997278 + j = 2 : 1361 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:20.55 +CPU time used : 00:05:49.02 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 : 1311 -p-value of test : 0.92 +Observed number of collisions : 1358 +p-value of test : 0.56 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334431 - j = 1 : 599997378 - j = 2 : 1311 + j = 0 : 131940795334478 + j = 1 : 599997284 + j = 2 : 1358 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:19.83 +CPU time used : 00:07:39.47 Generator state: N/A @@ -279,21 +279,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1346 -p-value of test : 0.68 +Observed number of collisions : 1351 +p-value of test : 0.63 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334466 - j = 1 : 599997308 - j = 2 : 1346 + j = 0 : 131940795334471 + j = 1 : 599997298 + j = 2 : 1351 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:34.10 +CPU time used : 00:09:37.17 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 : 1325 -p-value of test : 0.85 +Observed number of collisions : 1354 +p-value of test : 0.60 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334445 - j = 1 : 599997350 - j = 2 : 1325 + j = 0 : 131940795334474 + j = 1 : 599997292 + j = 2 : 1354 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:30.44 +CPU time used : 00:09:00.28 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 : 1352 -p-value of test : 0.62 +Observed number of collisions : 1362 +p-value of test : 0.52 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334472 - j = 1 : 599997296 - j = 2 : 1352 + j = 0 : 131940795334482 + j = 1 : 599997276 + j = 2 : 1362 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:30.09 +CPU time used : 00:08:31.23 Generator state: N/A @@ -435,21 +435,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1383 -p-value of test : 0.31 +Observed number of collisions : 1377 +p-value of test : 0.37 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334503 - j = 1 : 599997234 - j = 2 : 1383 + j = 0 : 131940795334497 + j = 1 : 599997246 + j = 2 : 1377 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:22.82 +CPU time used : 00:08:33.96 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 : 1362 -p-value of test : 0.52 +Observed number of collisions : 1267 +p-value of test : 0.9959 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334482 - j = 1 : 599997276 - j = 2 : 1362 + j = 0 : 131940795334387 + j = 1 : 599997466 + j = 2 : 1267 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:21.78 +CPU time used : 00:08:58.39 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 : 1403 -p-value of test : 0.15 +Observed number of collisions : 1402 +p-value of test : 0.16 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334523 - j = 1 : 599997194 - j = 2 : 1403 + j = 0 : 131940795334522 + j = 1 : 599997196 + j = 2 : 1402 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:24.15 +CPU time used : 00:09:09.21 Generator state: N/A @@ -591,21 +591,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1316 -p-value of test : 0.90 +Observed number of collisions : 1357 +p-value of test : 0.57 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334436 - j = 1 : 599997368 - j = 2 : 1316 + j = 0 : 131940795334477 + j = 1 : 599997286 + j = 2 : 1357 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:33.75 +CPU time used : 00:09:32.65 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5382 -p-value of test : 0.70 +Total observed number : 5396 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:04:27.59 +CPU time used : 00:05:35.57 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4342 -p-value of test : 0.47 +Total observed number : 4274 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:01:56.26 +CPU time used : 00:02:31.35 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7369 -p-value of test : 0.28 +Total observed number : 7350 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:03:14.09 +CPU time used : 00:04:15.06 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4267 -p-value of test : 0.85 +Total observed number : 4341 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:02:24.22 +CPU time used : 00:03:08.01 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4322 -p-value of test : 0.59 +Total observed number : 4396 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:02:31.80 +CPU time used : 00:03:20.89 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7370 -p-value of test : 0.27 +Total observed number : 7435 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:04:04.76 +CPU time used : 00:05:22.63 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7307 -p-value of test : 0.55 +Total observed number : 7269 +p-value of test : 0.72 ----------------------------------------------- -CPU time used : 00:04:04.47 +CPU time used : 00:05:22.27 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7286 -p-value of test : 0.64 +Total observed number : 7337 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:05:05.03 +CPU time used : 00:06:58.10 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7279 -p-value of test : 0.67 +Total observed number : 7453 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:05:43.02 +CPU time used : 00:07:37.42 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) : 1.73 -p-value of test : 0.13 +Stat. AD on the N values (NP) : 1.00 +p-value of test : 0.35 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 0.35 -p-value of test : 0.89 +A2 test on the values of A2 (m-NP) : 0.33 +p-value of test : 0.92 -Test on the Nm values of W_{n,i}(mNP1): 0.62 -p-value of test : 0.63 +Test on the Nm values of W_{n,i}(mNP1): 2.45 +p-value of test : 0.05 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 901 -p-value of test : 0.49 +Number of jumps of Y : 968 +p-value of test : 0.01 -Stat. AD (mNP2) : 0.65 -p-value of test : 0.60 +Stat. AD (mNP2) : 4.26 +p-value of test : 6.5e-3 -Stat. AD after spacings (mNP2-S) : 1.18 -p-value of test : 0.28 +Stat. AD after spacings (mNP2-S) : 4.65 +p-value of test : 4.2e-3 ----------------------------------------------- -CPU time used : 00:03:16.97 +CPU time used : 00:03:50.71 Generator state: N/A @@ -935,34 +935,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 1.29 -p-value of test : 0.23 +Stat. AD on the N values (NP) : 2.15 +p-value of test : 0.08 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) : 2.71 -p-value of test : 0.04 +A2 test on the values of A2 (m-NP) : 0.51 +p-value of test : 0.73 -Test on the Nm values of W_{n,i}(mNP1): 1.05 -p-value of test : 0.33 +Test on the Nm values of W_{n,i}(mNP1): 0.60 +p-value of test : 0.65 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 625 -p-value of test : 0.16 +Number of jumps of Y : 603 +p-value of test : 0.46 -Stat. AD (mNP2) : 1.09 -p-value of test : 0.31 +Stat. AD (mNP2) : 0.56 +p-value of test : 0.69 -Stat. AD after spacings (mNP2-S) : 2.03 -p-value of test : 0.09 +Stat. AD after spacings (mNP2-S) : 0.65 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:02:08.02 +CPU time used : 00:02:50.29 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) : 0.66 -p-value of test : 0.59 +Stat. AD on the N values (NP) : 2.17 +p-value of test : 0.08 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) : 1.31 -p-value of test : 0.23 +A2 test on the values of A2 (m-NP) : 1.04 +p-value of test : 0.34 -Test on the Nm values of W_{n,i}(mNP1): 0.35 -p-value of test : 0.90 +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 : 291 -p-value of test : 0.69 +Number of jumps of Y : 304 +p-value of test : 0.42 -Stat. AD (mNP2) : 0.55 -p-value of test : 0.70 +Stat. AD (mNP2) : 0.97 +p-value of test : 0.37 -Stat. AD after spacings (mNP2-S) : 0.63 -p-value of test : 0.62 +Stat. AD after spacings (mNP2-S) : 1.33 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:03:16.56 +CPU time used : 00:04:11.51 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) : 0.97 -p-value of test : 0.37 +Stat. AD on the N values (NP) : 0.29 +p-value of test : 0.94 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) : 1.08 -p-value of test : 0.32 +A2 test on the values of A2 (m-NP) : 2.03 +p-value of test : 0.09 -Test on the Nm values of W_{n,i}(mNP1): 1.11 -p-value of test : 0.30 +Test on the Nm values of W_{n,i}(mNP1): 0.68 +p-value of test : 0.58 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 141 -p-value of test : 0.75 +Number of jumps of Y : 151 +p-value of test : 0.48 -Stat. AD (mNP2) : 1.20 -p-value of test : 0.27 +Stat. AD (mNP2) : 0.53 +p-value of test : 0.72 -Stat. AD after spacings (mNP2-S) : 1.48 -p-value of test : 0.18 +Stat. AD after spacings (mNP2-S) : 1.44 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:03:23.05 +CPU time used : 00:05:02.61 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 2.57 -p-value of test : 0.92 +Chi-square statistic : 5.75 +p-value of test : 0.57 ----------------------------------------------- -CPU time used : 00:01:22.39 +CPU time used : 00:01:45.43 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 2.13 -p-value of test : 0.95 +Chi-square statistic : 7.83 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:01:31.72 +CPU time used : 00:01:59.31 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 20.64 -p-value of test : 0.30 +Chi-square statistic : 17.43 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:01:21.89 +CPU time used : 00:01:41.19 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 27.26 -p-value of test : 0.07 +Chi-square statistic : 29.68 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:01:32.81 +CPU time used : 00:01:57.89 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 71.32 -p-value of test : 0.06 +Chi-square statistic : 39.37 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:01:42.97 +CPU time used : 00:02:09.25 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 49.62 -p-value of test : 0.64 +Chi-square statistic : 70.15 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:01:59.51 +CPU time used : 00:02:30.00 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 39.61 -p-value of test : 0.93 +Chi-square statistic : 54.24 +p-value of test : 0.47 ----------------------------------------------- -CPU time used : 00:01:57.68 +CPU time used : 00:02:27.12 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 58.34 -p-value of test : 0.32 +Chi-square statistic : 52.51 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:01:58.02 +CPU time used : 00:02:23.28 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 212.90 -p-value of test : 0.81 +Chi-square statistic : 217.02 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:02:13.75 +CPU time used : 00:02:43.64 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 423.15 -p-value of test : 0.64 +Chi-square statistic : 409.79 +p-value of test : 0.79 ----------------------------------------------- -CPU time used : 00:02:55.72 +CPU time used : 00:04:07.23 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1417.79 -p-value of test : 0.64 +Chi-square statistic : 1332.13 +p-value of test : 0.98 ----------------------------------------------- -CPU time used : 00:03:11.06 +CPU time used : 00:04:04.46 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7051.18 -p-value of test : 0.48 +Chi-square statistic : 7002.64 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:02:58.52 +CPU time used : 00:04:16.70 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.048 -p-value of test : 0.94 +Kolmogorov-Smirnov+ statistic = D+ : 0.30 +p-value of test : 0.35 -Kolmogorov-Smirnov- statistic = D- : 0.36 -p-value of test : 0.21 +Kolmogorov-Smirnov- statistic = D- : 0.100 +p-value of test : 0.85 -Anderson-Darling statistic = A2 : 1.19 -p-value of test : 0.27 +Anderson-Darling statistic = A2 : 0.51 +p-value of test : 0.73 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 40.38 -p-value of test : 0.10 +Chi-square statistic : 23.53 +p-value of test : 0.79 ----------------------------------------------- -CPU time used : 00:01:39.23 +CPU time used : 00:02:07.57 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.089 -p-value of test : 0.81 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.55 -Kolmogorov-Smirnov- statistic = D- : 0.33 -p-value of test : 0.09 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.35 -Anderson-Darling statistic = A2 : 2.20 -p-value of test : 0.07 +Anderson-Darling statistic = A2 : 0.49 +p-value of test : 0.76 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 84.56 -p-value of test : 0.02 +Chi-square statistic : 60.42 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:04:13.95 +CPU time used : 00:04:54.50 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 : 10.87 -p-value of test : 0.05 +Value of the statistic : 4.51 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:01:12.90 +CPU time used : 00:01:29.19 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 : 149.44 -p-value of test : 0.03 +Value of the statistic : 118.45 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:02:04.69 +CPU time used : 00:02:32.67 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 : 4928.58 -p-value of test : 0.86 +Value of the statistic : 4976.86 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:01:29.95 +CPU time used : 00:01:55.10 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 : 0.41 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:03:16.47 +CPU time used : 00:03:53.32 Generator state: N/A @@ -1607,22 +1607,22 @@ Test Results for Collisions For the total number of collisions, we use the Poisson approximation: Expected number of collisions = N*Mu : 45879.47 -Observed number of collisions : 45961 -p-value of test : 0.35 +Observed number of collisions : 46190 +p-value of test : 0.07 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869961 - j = 1 : 399908081 - j = 2 : 45955 - j = 3 : 3 + j = 0 : 1743165870190 + j = 1 : 399907624 + j = 2 : 46182 + j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:34.69 +CPU time used : 00:05:23.68 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 : 46224 -p-value of test : 0.05 +Observed number of collisions : 45742 +p-value of test : 0.74 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165870224 - j = 1 : 399907556 - j = 2 : 46216 - j = 3 : 4 + j = 0 : 1743165869742 + j = 1 : 399908517 + j = 2 : 45740 + j = 3 : 1 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:51.64 +CPU time used : 00:05:37.93 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.089 -p-value of test : 0.50 +Kolmogorov-Smirnov+ statistic = D+ : 0.073 +p-value of test : 0.62 -Kolmogorov-Smirnov- statistic = D- : 0.070 -p-value of test : 0.64 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.34 -Anderson-Darling statistic = A2 : 0.44 -p-value of test : 0.81 +Anderson-Darling statistic = A2 : 0.41 +p-value of test : 0.83 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.64 +p-value of test : 0.44 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.38 +Kolmogorov-Smirnov+ statistic = D+ : 0.037 +p-value of test : 0.88 -Kolmogorov-Smirnov- statistic = D- : 0.042 -p-value of test : 0.84 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.14 -Anderson-Darling statistic = A2 : 0.36 -p-value of test : 0.89 +Anderson-Darling statistic = A2 : 0.70 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:03:24.95 +CPU time used : 00:04:27.05 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.041 -p-value of test : 0.88 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.29 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.14 +Kolmogorov-Smirnov- statistic = D- : 0.062 +p-value of test : 0.76 -Anderson-Darling statistic = A2 : 1.87 -p-value of test : 0.11 +Anderson-Darling statistic = A2 : 0.61 +p-value of test : 0.63 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.05 +p-value of test : 0.74 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.06 +Kolmogorov-Smirnov+ statistic = D+ : 0.089 +p-value of test : 0.59 -Kolmogorov-Smirnov- statistic = D- : 0.032 -p-value of test : 0.92 +Kolmogorov-Smirnov- statistic = D- : 0.035 +p-value of test : 0.91 -Anderson-Darling statistic = A2 : 1.45 -p-value of test : 0.19 +Anderson-Darling statistic = A2 : 0.27 +p-value of test : 0.96 ----------------------------------------------- -CPU time used : 00:03:12.29 +CPU time used : 00:04:12.37 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.26 +Kolmogorov-Smirnov+ statistic = D+ : 0.082 +p-value of test : 0.73 -Kolmogorov-Smirnov- statistic = D- : 0.017 -p-value of test : 0.98 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.17 -Anderson-Darling statistic = A2 : 0.69 -p-value of test : 0.57 +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 : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.85 +p-value of test : 0.39 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.066 -p-value of test : 0.81 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.23 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.19 +Kolmogorov-Smirnov- statistic = D- : 0.098 +p-value of test : 0.64 -Anderson-Darling statistic = A2 : 1.17 -p-value of test : 0.28 +Anderson-Darling statistic = A2 : 0.59 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:02:31.98 +CPU time used : 00:03:13.76 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.44 +Kolmogorov-Smirnov+ statistic = D+ : 0.22 +p-value of test : 0.14 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.33 +Kolmogorov-Smirnov- statistic = D- : 0.036 +p-value of test : 0.93 -Anderson-Darling statistic = A2 : 0.69 -p-value of test : 0.56 +Anderson-Darling statistic = A2 : 1.09 +p-value of test : 0.31 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.56 +p-value of test : 0.86 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.097 -p-value of test : 0.64 +Kolmogorov-Smirnov+ statistic = D+ : 0.058 +p-value of test : 0.84 -Kolmogorov-Smirnov- statistic = D- : 0.29 -p-value of test : 0.03 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.56 -Anderson-Darling statistic = A2 : 1.75 -p-value of test : 0.13 +Anderson-Darling statistic = A2 : 0.33 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:02:48.70 +CPU time used : 00:03:44.82 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.056 -p-value of test : 0.75 +Kolmogorov-Smirnov+ statistic = D+ : 0.061 +p-value of test : 0.72 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.16 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.24 -Anderson-Darling statistic = A2 : 1.02 -p-value of test : 0.35 +Anderson-Darling statistic = A2 : 0.51 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:02:26.21 +CPU time used : 00:03:09.05 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.32 +Kolmogorov-Smirnov+ statistic = D+ : 0.25 +p-value of test : 0.07 -Kolmogorov-Smirnov- statistic = D- : 0.075 -p-value of test : 0.76 +Kolmogorov-Smirnov- statistic = D- : 0.013 +p-value of test : 0.98 -Anderson-Darling statistic = A2 : 0.42 -p-value of test : 0.83 +Anderson-Darling statistic = A2 : 1.81 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:01:46.88 +CPU time used : 00:02:12.22 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.022 -p-value of test : 0.97 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.62 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.44 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.61 -Anderson-Darling statistic = A2 : 0.74 -p-value of test : 0.53 +Anderson-Darling statistic = A2 : 0.48 +p-value of test : 0.76 ----------------------------------------------- -CPU time used : 00:02:12.96 +CPU time used : 00:02:49.17 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 9.59e-5 -p-value of test : 0.69 +Kolmogorov-Smirnov+ statistic = D+ : 1.84e-4 +p-value of test : 0.26 -Kolmogorov-Smirnov- statistic = D- : 1.93e-4 -p-value of test : 0.23 +Kolmogorov-Smirnov- statistic = D- : 1.53e-4 +p-value of test : 0.39 -Anderson-Darling statistic = A2 : 0.74 -p-value of test : 0.52 +Anderson-Darling statistic = A2 : 1.09 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:00:32.78 +CPU time used : 00:00:40.34 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 3.61e-5 -p-value of test : 0.95 +Kolmogorov-Smirnov+ statistic = D+ : 1.92e-4 +p-value of test : 0.23 -Kolmogorov-Smirnov- statistic = D- : 2.62e-4 -p-value of test : 0.06 +Kolmogorov-Smirnov- statistic = D- : 2.65e-5 +p-value of test : 0.97 -Anderson-Darling statistic = A2 : 2.12 -p-value of test : 0.08 +Anderson-Darling statistic = A2 : 1.43 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:00:32.87 +CPU time used : 00:00:44.62 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.039 -p-value of test : 0.48 +Normal statistic : -0.34 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:00:32.62 +CPU time used : 00:00:45.25 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 1.17 -p-value of test : 0.12 +Normal statistic : 1.69 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:00:35.03 +CPU time used : 00:00:45.19 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 0.91 -p-value of test : 0.18 +Normal statistic : -2.95 +p-value of test : 0.9984 ----------------------------------------------- -CPU time used : 00:02:00.00 +CPU time used : 00:02:25.02 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 1.28 -p-value of test : 0.10 +Normal statistic : -0.34 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:02:06.27 +CPU time used : 00:02:29.21 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 78.24 -p-value of test : 0.16 +Chi-square statistic : 56.02 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:01:20.71 +CPU time used : 00:01:44.82 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 79.68 -p-value of test : 0.14 +Chi-square statistic : 43.25 +p-value of test : 0.99 ----------------------------------------------- -CPU time used : 00:01:42.84 +CPU time used : 00:02:15.03 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 78.44 -p-value of test : 0.16 +Chi-square statistic : 61.84 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:01:43.51 +CPU time used : 00:02:15.02 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 27.21 -p-value of test : 0.88 +Chi-square statistic : 19.39 +p-value of test : 0.9924 ----------------------------------------------- -CPU time used : 00:01:26.26 +CPU time used : 00:01:43.80 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 37.89 -p-value of test : 0.43 +Chi-square statistic : 34.07 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:01:42.18 +CPU time used : 00:02:14.22 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 20.56 -p-value of test : 0.99 +Chi-square statistic : 30.47 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:01:39.39 +CPU time used : 00:02:13.20 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 22.88 -p-value of test : 0.78 +Chi-square statistic : 16.71 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:02:39.37 +CPU time used : 00:03:21.97 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.57 +Kolmogorov-Smirnov+ statistic = D+ : 0.23 +p-value of test : 0.30 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.70 +Kolmogorov-Smirnov- statistic = D- : 0.044 +p-value of test : 0.94 -Anderson-Darling statistic = A2 : 0.28 -p-value of test : 0.95 +Anderson-Darling statistic = A2 : 0.67 +p-value of test : 0.58 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 38.94 -p-value of test : 0.52 +Chi-square statistic : 32.04 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:01:26.11 +CPU time used : 00:01:51.84 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.45 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.68 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.58 +Kolmogorov-Smirnov- statistic = D- : 0.26 +p-value of test : 0.22 -Anderson-Darling statistic = A2 : 0.49 -p-value of test : 0.75 +Anderson-Darling statistic = A2 : 0.51 +p-value of test : 0.74 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 35.01 -p-value of test : 0.69 +Chi-square statistic : 41.85 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:01:28.15 +CPU time used : 00:01:52.05 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 4.78 -p-value of test : 0.19 +Chi-square statistic : 6.08 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:02:09.47 +CPU time used : 00:03:03.79 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 1.72 -p-value of test : 0.63 +Chi-square statistic : 1.90 +p-value of test : 0.59 ----------------------------------------------- -CPU time used : 00:02:10.92 +CPU time used : 00:03:03.32 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 4.54 -p-value of test : 0.10 +Chi-square statistic : 2.38 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:01:37.51 +CPU time used : 00:02:08.79 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.59 -p-value of test : 0.74 +Chi-square statistic : 0.41 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:01:18.50 +CPU time used : 00:01:46.26 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.59 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.61 -Kolmogorov-Smirnov- statistic = D- : 0.36 -p-value of test : 0.06 +Kolmogorov-Smirnov- statistic = D- : 0.053 +p-value of test : 0.91 -Anderson-Darling statistic = A2 : 2.55 -p-value of test : 0.05 +Anderson-Darling statistic = A2 : 0.59 +p-value of test : 0.66 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 159.65 -p-value of test : 0.04 +Chi-square statistic : 121.15 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:00:58.37 +CPU time used : 00:01:16.35 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.090 -p-value of test : 0.80 +Kolmogorov-Smirnov+ statistic = D+ : 0.042 +p-value of test : 0.94 -Kolmogorov-Smirnov- statistic = D- : 0.31 -p-value of test : 0.12 +Kolmogorov-Smirnov- statistic = D- : 0.29 +p-value of test : 0.15 -Anderson-Darling statistic = A2 : 0.71 -p-value of test : 0.54 +Anderson-Darling statistic = A2 : 1.16 +p-value of test : 0.28 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17552.41 -p-value of test : 0.26 +Chi-square statistic :17675.06 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:01:53.90 +CPU time used : 00:02:01.09 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 : 34.71 -p-value of test : 0.53 +ChiSquare statistic : 32.46 +p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 30.01 -p-value of test : 0.71 +ChiSquare statistic : 27.95 +p-value of test : 0.80 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 35.36 -p-value of test : 0.08 +ChiSquare statistic : 20.46 +p-value of test : 0.72 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 32.12 -p-value of test : 0.12 +ChiSquare statistic : 19.70 +p-value of test : 0.71 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 25.95 -p-value of test : 0.08 +ChiSquare statistic : 18.93 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:00:51.37 +CPU time used : 00:01:01.43 Generator state: N/A @@ -2628,44 +2628,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 36 -ChiSquare statistic : 24.84 -p-value of test : 0.92 +ChiSquare statistic : 37.03 +p-value of test : 0.42 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 43.56 -p-value of test : 0.15 +ChiSquare statistic : 33.98 +p-value of test : 0.52 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 33.11 -p-value of test : 0.13 +ChiSquare statistic : 23.79 +p-value of test : 0.53 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 36.15 -p-value of test : 0.05 +ChiSquare statistic : 15.67 +p-value of test : 0.90 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 9.63 -p-value of test : 0.92 +ChiSquare statistic : 14.95 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:00:50.62 +CPU time used : 00:01:02.54 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 : 115.15 -p-value of test : 0.97 +ChiSquare statistic : 156.10 +p-value of test : 0.27 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 127.96 -p-value of test : 0.86 +ChiSquare statistic : 152.55 +p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 512.87 -p-value of test : 0.34 +ChiSquare statistic : 489.10 +p-value of test : 0.63 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 116.63 -p-value of test : 0.88 +ChiSquare statistic : 98.97 +p-value of test : 0.9928 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 57.59 -p-value of test : 0.92 +ChiSquare statistic : 66.68 +p-value of test : 0.71 ----------------------------------------------- -CPU time used : 00:01:00.47 +CPU time used : 00:01:18.52 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 : 159.05 -p-value of test : 0.22 +ChiSquare statistic : 140.70 +p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 135.08 -p-value of test : 0.73 +ChiSquare statistic : 160.43 +p-value of test : 0.20 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 500.42 -p-value of test : 0.49 +ChiSquare statistic : 475.24 +p-value of test : 0.78 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 121.42 -p-value of test : 0.81 +ChiSquare statistic : 131.32 +p-value of test : 0.60 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 72.44 -p-value of test : 0.53 +ChiSquare statistic : 72.18 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:01:00.12 +CPU time used : 00:01:19.25 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 : 359.13 -p-value of test : 0.81 +ChiSquare statistic : 381.38 +p-value of test : 0.53 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 369.42 -p-value of test : 0.69 +ChiSquare statistic : 384.98 +p-value of test : 0.48 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5006.15 -p-value of test : 0.47 +ChiSquare statistic : 4929.53 +p-value of test : 0.76 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 389.03 -p-value of test : 0.34 +ChiSquare statistic : 362.49 +p-value of test : 0.71 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 185.96 -p-value of test : 0.75 +ChiSquare statistic : 211.60 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:00:48.56 +CPU time used : 00:01:04.65 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 : 382.08 -p-value of test : 0.52 +ChiSquare statistic : 372.99 +p-value of test : 0.65 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 380.27 -p-value of test : 0.54 +ChiSquare statistic : 326.21 +p-value of test : 0.99 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5041.99 -p-value of test : 0.34 +ChiSquare statistic : 5167.67 +p-value of test : 0.05 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 423.64 -p-value of test : 0.05 +ChiSquare statistic : 419.53 +p-value of test : 0.07 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 230.31 -p-value of test : 0.07 +ChiSquare statistic : 184.58 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:00:49.70 +CPU time used : 00:01:05.22 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 10.09 -p-value of test : 0.61 +Chi2 statistic for size of jumps : 15.58 +p-value of test : 0.21 ----------------------------------------------- -Normal statistic for number of jumps : -1.81 -p-value of test : 0.96 +Normal statistic for number of jumps : 0.42 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:02:22.71 +CPU time used : 00:03:02.09 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 7.87 -p-value of test : 0.80 +Chi2 statistic for size of jumps : 13.83 +p-value of test : 0.31 ----------------------------------------------- -Normal statistic for number of jumps : -1.16 -p-value of test : 0.88 +Normal statistic for number of jumps : -1.34 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:02:23.05 +CPU time used : 00:03:02.83 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.51 +Kolmogorov-Smirnov+ statistic = D+ : 0.25 +p-value of test : 0.23 -Kolmogorov-Smirnov- statistic = D- : 0.24 -p-value of test : 0.27 +Kolmogorov-Smirnov- statistic = D- : 0.041 +p-value of test : 0.94 -Anderson-Darling statistic = A2 : 0.69 -p-value of test : 0.56 +Anderson-Darling statistic = A2 : 0.92 +p-value of test : 0.40 Tests on the sum of all N observations -Standardized normal statistic : 0.42 -p-value of test : 0.34 +Standardized normal statistic : -1.26 +p-value of test : 0.90 -Sample variance : 0.61 -p-value of test : 0.79 +Sample variance : 1.14 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:01:02.12 +CPU time used : 00:01:08.31 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.70 +Kolmogorov-Smirnov+ statistic = D+ : 0.29 +p-value of test : 0.16 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.52 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.67 -Anderson-Darling statistic = A2 : 0.28 -p-value of test : 0.96 +Anderson-Darling statistic = A2 : 0.78 +p-value of test : 0.49 Tests on the sum of all N observations -Standardized normal statistic : 0.20 -p-value of test : 0.42 +Standardized normal statistic : -0.85 +p-value of test : 0.80 -Sample variance : 0.95 -p-value of test : 0.48 +Sample variance : 1.15 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:01:01.21 +CPU time used : 00:01:26.54 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 9.91e-3 -p-value of test : 0.44 +Kolmogorov-Smirnov+ statistic = D+ : 0.011 +p-value of test : 0.37 -Kolmogorov-Smirnov- statistic = D- : 6.37e-3 -p-value of test : 0.71 +Kolmogorov-Smirnov- statistic = D- : 5.63e-3 +p-value of test : 0.77 -Anderson-Darling statistic = A2 : 0.44 -p-value of test : 0.81 +Anderson-Darling statistic = A2 : 0.48 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:00:47.07 +CPU time used : 00:00:57.63 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.011 -p-value of test : 0.39 +Kolmogorov-Smirnov+ statistic = D+ : 5.00e-3 +p-value of test : 0.81 -Kolmogorov-Smirnov- statistic = D- : 2.46e-3 -p-value of test : 0.95 +Kolmogorov-Smirnov- statistic = D- : 9.84e-3 +p-value of test : 0.45 -Anderson-Darling statistic = A2 : 0.73 -p-value of test : 0.54 +Anderson-Darling statistic = A2 : 0.46 +p-value of test : 0.79 ----------------------------------------------- -CPU time used : 00:00:46.52 +CPU time used : 00:00:56.38 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 0.78 -p-value of test : 0.9993 ***** +Chi-square statistic : 2.01 +p-value of test : 0.98 ----------------------------------------------- -Global longest run of 1 : 33.00 -p-value of test : 0.44 +Global longest run of 1 : 34.00 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:01:43.11 +CPU time used : 00:01:53.65 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 11.85 -p-value of test : 0.16 +Chi-square statistic : 8.82 +p-value of test : 0.36 ----------------------------------------------- -Global longest run of 1 : 34.00 -p-value of test : 0.25 +Global longest run of 1 : 36.00 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:01:44.39 +CPU time used : 00:01:55.43 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.30 -p-value of test : 0.13 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.48 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.75 +Kolmogorov-Smirnov- statistic = D- : 0.24 +p-value of test : 0.26 -Anderson-Darling statistic = A2 : 1.18 -p-value of test : 0.27 +Anderson-Darling statistic = A2 : 1.22 +p-value of test : 0.26 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 175.15 -p-value of test : 0.90 +Chi-square statistic : 224.98 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:02:51.15 +CPU time used : 00:03:29.13 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.26 -p-value of test : 0.21 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.51 -Kolmogorov-Smirnov- statistic = D- : 0.059 -p-value of test : 0.90 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.48 -Anderson-Darling statistic = A2 : 1.21 -p-value of test : 0.26 +Anderson-Darling statistic = A2 : 0.47 +p-value of test : 0.78 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 172.28 -p-value of test : 0.92 +Chi-square statistic : 206.48 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:02:52.37 +CPU time used : 00:03:31.34 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.56 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.72 -Kolmogorov-Smirnov- statistic = D- : 0.50 -p-value of test : 3.7e-3 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.40 -Anderson-Darling statistic = A2 : 2.43 -p-value of test : 0.06 +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 : 10000 -Chi-square statistic :10154.73 -p-value of test : 0.14 +Chi-square statistic :10088.61 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:01:06.53 +CPU time used : 00:01:19.25 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.40 +Kolmogorov-Smirnov+ statistic = D+ : 0.22 +p-value of test : 0.34 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.71 +Kolmogorov-Smirnov- statistic = D- : 0.024 +p-value of test : 0.97 -Anderson-Darling statistic = A2 : 0.31 -p-value of test : 0.93 +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 : 10000 -Chi-square statistic : 9967.06 -p-value of test : 0.59 +Chi-square statistic : 9849.54 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:01:08.56 +CPU time used : 00:01:22.74 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.74 -p-value of test : 0.77 +Normal statistic : -0.14 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:01:23.00 +CPU time used : 00:01:32.11 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -2.80e-3 -p-value of test : 0.50 +Normal statistic : -1.13 +p-value of test : 0.87 ----------------------------------------------- -CPU time used : 00:01:19.15 +CPU time used : 00:01:28.58 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.26 -p-value of test : 0.60 +Normal statistic : 0.57 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:05:12.64 +CPU time used : 00:05:52.00 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.30 -p-value of test : 0.14 +Kolmogorov-Smirnov+ statistic = D+ : 0.061 +p-value of test : 0.89 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.60 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.39 -Anderson-Darling statistic = A2 : 1.40 -p-value of test : 0.20 +Anderson-Darling statistic = A2 : 0.72 +p-value of test : 0.53 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4765.56 -p-value of test : 0.90 +Chi-square statistic : 5003.34 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:02:09.98 +CPU time used : 00:02:37.04 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.30 -p-value of test : 0.13 +Kolmogorov-Smirnov+ statistic = D+ : 0.22 +p-value of test : 0.33 Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.74 +p-value of test : 0.73 -Anderson-Darling statistic = A2 : 0.90 -p-value of test : 0.41 +Anderson-Darling statistic = A2 : 0.52 +p-value of test : 0.73 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4813.41 -p-value of test : 0.78 +Chi-square statistic : 4841.09 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:02:15.52 +CPU time used : 00:02:41.47 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 : 4131.76 -p-value of test : 0.43 +Chi-square statistic : 4217.28 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:01:34.68 +CPU time used : 00:01:55.54 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 : 4094.39 -p-value of test : 0.60 +Chi-square statistic : 4003.92 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:01:40.68 +CPU time used : 00:01:58.50 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 :12084.34 -p-value of test : 0.05 +Chi-square statistic :11464.48 +p-value of test : 0.9910 ----------------------------------------------- -CPU time used : 00:01:44.8
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