http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/src/site/resources/txt/userguide/stress/tu/run_1/tu_5 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_1/tu_5 b/src/site/resources/txt/userguide/stress/tu/run_1/tu_5 index bfcda63..b2c6e8f 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_1/tu_5 +++ b/src/site/resources/txt/userguide/stress/tu/run_1/tu_5 @@ -1,5 +1,5 @@ # -# RNG: org.apache.commons.math4.rng.internal.source32.Well19937a +# RNG: org.apache.commons.rng.internal.source32.Well19937a # # 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 : 6.2e-3 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:02:12.09 +CPU time used : 00:02:50.65 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 : 0.28 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:01:44.62 +CPU time used : 00:02:35.56 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 : 1380 -p-value of test : 0.34 +Observed number of collisions : 1304 +p-value of test : 0.95 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334500 - j = 1 : 599997240 - j = 2 : 1380 + j = 0 : 131940795334424 + j = 1 : 599997392 + j = 2 : 1304 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:13.69 +CPU time used : 00:05:23.55 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 : 1334 -p-value of test : 0.79 +Observed number of collisions : 1390 +p-value of test : 0.25 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334454 - j = 1 : 599997332 - j = 2 : 1334 + j = 0 : 131940795334510 + j = 1 : 599997220 + j = 2 : 1390 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:07.38 +CPU time used : 00:07:12.76 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 : 1353 -p-value of test : 0.61 +Observed number of collisions : 1338 +p-value of test : 0.76 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334473 - j = 1 : 599997294 - j = 2 : 1353 + j = 0 : 131940795334458 + j = 1 : 599997324 + j = 2 : 1338 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:22.16 +CPU time used : 00:09:01.79 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 : 1363 -p-value of test : 0.51 +Observed number of collisions : 1379 +p-value of test : 0.35 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334483 - j = 1 : 599997274 - j = 2 : 1363 + j = 0 : 131940795334499 + j = 1 : 599997242 + j = 2 : 1379 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:29.34 +CPU time used : 00:09:07.92 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 : 1277 -p-value of test : 0.9911 +Observed number of collisions : 1374 +p-value of test : 0.40 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334397 - j = 1 : 599997446 - j = 2 : 1277 + j = 0 : 131940795334494 + j = 1 : 599997252 + j = 2 : 1374 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:22.77 +CPU time used : 00:09:11.11 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 : 1374 -p-value of test : 0.40 +Observed number of collisions : 1432 +p-value of test : 0.04 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334494 - j = 1 : 599997252 - j = 2 : 1374 + j = 0 : 131940795334552 + j = 1 : 599997136 + j = 2 : 1432 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:56.36 +CPU time used : 00:09:36.15 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 : 1358 -p-value of test : 0.56 +Observed number of collisions : 1412 +p-value of test : 0.10 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334478 - j = 1 : 599997284 - j = 2 : 1358 + j = 0 : 131940795334532 + j = 1 : 599997176 + j = 2 : 1412 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:45.26 +CPU time used : 00:08:06.53 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 : 1380 -p-value of test : 0.34 +Observed number of collisions : 1317 +p-value of test : 0.90 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334500 - j = 1 : 599997240 - j = 2 : 1380 + j = 0 : 131940795334437 + j = 1 : 599997366 + j = 2 : 1317 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:18.32 +CPU time used : 00:08:10.64 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 : 1333 -p-value of test : 0.80 +Observed number of collisions : 1402 +p-value of test : 0.16 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334453 - j = 1 : 599997334 - j = 2 : 1333 + j = 0 : 131940795334522 + j = 1 : 599997196 + j = 2 : 1402 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:32.61 +CPU time used : 00:09:45.81 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 : 1432 -p-value of test : 0.04 +Observed number of collisions : 1316 +p-value of test : 0.90 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334552 - j = 1 : 599997136 - j = 2 : 1432 + j = 0 : 131940795334436 + j = 1 : 599997368 + j = 2 : 1316 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:35.13 +CPU time used : 00:08:35.56 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5416 -p-value of test : 0.52 +Total observed number : 5355 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:04:25.94 +CPU time used : 00:05:38.52 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4243 -p-value of test : 0.92 +Total observed number : 4343 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:01:53.88 +CPU time used : 00:02:29.59 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7315 -p-value of test : 0.51 +Total observed number : 7403 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:03:12.97 +CPU time used : 00:04:14.07 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4288 -p-value of test : 0.77 +Total observed number : 4367 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:02:19.39 +CPU time used : 00:03:09.27 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4344 -p-value of test : 0.46 +Total observed number : 4315 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:02:32.27 +CPU time used : 00:03:20.10 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7396 -p-value of test : 0.18 +Total observed number : 7326 +p-value of test : 0.47 ----------------------------------------------- -CPU time used : 00:03:57.35 +CPU time used : 00:05:20.71 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7251 -p-value of test : 0.78 +Total observed number : 7275 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:03:54.06 +CPU time used : 00:05:22.73 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7358 -p-value of test : 0.32 +Total observed number : 7318 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:04:59.09 +CPU time used : 00:06:55.43 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7369 -p-value of test : 0.28 +Total observed number : 7338 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:05:31.42 +CPU time used : 00:07:38.90 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) : 0.87 -p-value of test : 0.43 +Stat. AD on the N values (NP) : 1.45 +p-value of test : 0.19 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) : 0.46 -p-value of test : 0.78 +A2 test on the values of A2 (m-NP) : 2.12 +p-value of test : 0.08 -Test on the Nm values of W_{n,i}(mNP1): 2.52 -p-value of test : 0.05 +Test on the Nm values of W_{n,i}(mNP1): 0.69 +p-value of test : 0.57 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 839 -p-value of test : 0.98 +Number of jumps of Y : 933 +p-value of test : 0.14 -Stat. AD (mNP2) : 0.76 -p-value of test : 0.51 +Stat. AD (mNP2) : 0.94 +p-value of test : 0.39 -Stat. AD after spacings (mNP2-S) : 2.06 -p-value of test : 0.08 +Stat. AD after spacings (mNP2-S) : 1.82 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:03:14.15 +CPU time used : 00:04:50.40 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) : 3.06 -p-value of test : 0.03 +Stat. AD on the N values (NP) : 1.12 +p-value of test : 0.30 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 0.26 -p-value of test : 0.97 +A2 test on the values of A2 (m-NP) : 0.74 +p-value of test : 0.53 -Test on the Nm values of W_{n,i}(mNP1): 1.49 -p-value of test : 0.18 +Test on the Nm values of W_{n,i}(mNP1): 0.46 +p-value of test : 0.79 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 621 -p-value of test : 0.20 +Number of jumps of Y : 617 +p-value of test : 0.25 -Stat. AD (mNP2) : 0.58 -p-value of test : 0.66 +Stat. AD (mNP2) : 1.19 +p-value of test : 0.27 -Stat. AD after spacings (mNP2-S) : 2.20 -p-value of test : 0.07 +Stat. AD after spacings (mNP2-S) : 0.92 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:02:05.63 +CPU time used : 00:03:07.45 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) : 2.73 -p-value of test : 0.04 +Stat. AD on the N values (NP) : 0.99 +p-value of test : 0.36 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) : 0.53 -p-value of test : 0.72 +A2 test on the values of A2 (m-NP) : 0.52 +p-value of test : 0.73 -Test on the Nm values of W_{n,i}(mNP1): 0.78 -p-value of test : 0.49 +Test on the Nm values of W_{n,i}(mNP1): 0.91 +p-value of test : 0.41 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 303 -p-value of test : 0.44 +Number of jumps of Y : 310 +p-value of test : 0.29 -Stat. AD (mNP2) : 0.91 -p-value of test : 0.41 +Stat. AD (mNP2) : 0.63 +p-value of test : 0.62 -Stat. AD after spacings (mNP2-S) : 0.76 -p-value of test : 0.51 +Stat. AD after spacings (mNP2-S) : 0.56 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:03:00.73 +CPU time used : 00:04:25.13 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) : 0.44 -p-value of test : 0.80 +Stat. AD on the N values (NP) : 1.18 +p-value of test : 0.27 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) : 0.75 -p-value of test : 0.51 +A2 test on the values of A2 (m-NP) : 3.05 +p-value of test : 0.03 -Test on the Nm values of W_{n,i}(mNP1): 0.88 -p-value of test : 0.43 +Test on the Nm values of W_{n,i}(mNP1): 0.24 +p-value of test : 0.98 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 155 -p-value of test : 0.35 +Number of jumps of Y : 148 +p-value of test : 0.54 -Stat. AD (mNP2) : 0.19 -p-value of test : 0.9925 +Stat. AD (mNP2) : 1.13 +p-value of test : 0.30 -Stat. AD after spacings (mNP2-S) : 1.70 -p-value of test : 0.14 +Stat. AD after spacings (mNP2-S) : 0.47 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:03:17.81 +CPU time used : 00:04:36.97 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 4.04 -p-value of test : 0.77 +Chi-square statistic : 3.54 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:01:16.07 +CPU time used : 00:01:43.54 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 3.88 -p-value of test : 0.79 +Chi-square statistic : 4.55 +p-value of test : 0.71 ----------------------------------------------- -CPU time used : 00:01:28.51 +CPU time used : 00:02:00.98 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 18.21 -p-value of test : 0.44 +Chi-square statistic : 19.58 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:01:18.17 +CPU time used : 00:01:39.19 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 15.71 -p-value of test : 0.61 +Chi-square statistic : 32.18 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:01:28.19 +CPU time used : 00:01:57.12 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 63.31 -p-value of test : 0.18 +Chi-square statistic : 46.65 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:01:32.88 +CPU time used : 00:02:09.50 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 60.92 -p-value of test : 0.24 +Chi-square statistic : 41.50 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:01:48.00 +CPU time used : 00:02:30.12 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 48.05 -p-value of test : 0.70 +Chi-square statistic : 63.04 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:01:49.90 +CPU time used : 00:02:27.84 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 73.98 -p-value of test : 0.04 +Chi-square statistic : 59.31 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:01:46.60 +CPU time used : 00:02:24.46 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 242.51 -p-value of test : 0.30 +Chi-square statistic : 201.21 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:02:09.63 +CPU time used : 00:02:49.78 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 481.45 -p-value of test : 0.06 +Chi-square statistic : 394.89 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:03:01.71 +CPU time used : 00:04:00.67 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1475.96 -p-value of test : 0.23 +Chi-square statistic : 1548.08 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:03:03.86 +CPU time used : 00:04:14.82 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 6987.95 -p-value of test : 0.69 +Chi-square statistic : 7106.78 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:03:00.40 +CPU time used : 00:04:12.70 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.25 -p-value of test : 0.45 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.74 -Kolmogorov-Smirnov- statistic = D- : 0.38 -p-value of test : 0.18 +Kolmogorov-Smirnov- statistic = D- : 0.37 +p-value of test : 0.20 -Anderson-Darling statistic = A2 : 0.82 -p-value of test : 0.46 +Anderson-Darling statistic = A2 : 0.63 +p-value of test : 0.61 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 30.65 -p-value of test : 0.43 +Chi-square statistic : 33.51 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:01:42.36 +CPU time used : 00:02:06.98 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.41 -p-value of test : 0.02 +Kolmogorov-Smirnov+ statistic = D+ : 0.31 +p-value of test : 0.11 -Kolmogorov-Smirnov- statistic = D- : 0.062 -p-value of test : 0.89 +Kolmogorov-Smirnov- statistic = D- : 0.018 +p-value of test : 0.98 -Anderson-Darling statistic = A2 : 2.37 -p-value of test : 0.06 +Anderson-Darling statistic = A2 : 1.29 +p-value of test : 0.24 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 39.59 -p-value of test : 0.98 +Chi-square statistic : 46.37 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:04:02.34 +CPU time used : 00:05:01.20 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 : 5.26 -p-value of test : 0.38 +Value of the statistic : 6.28 +p-value of test : 0.28 ----------------------------------------------- -CPU time used : 00:01:09.19 +CPU time used : 00:01:32.53 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 : 100.82 -p-value of test : 0.89 +Value of the statistic : 111.22 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:01:59.89 +CPU time used : 00:02:37.89 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 : 5067.95 -p-value of test : 0.38 +Value of the statistic : 5083.36 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:01:29.17 +CPU time used : 00:01:59.37 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 : 0.64 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:03:10.10 +CPU time used : 00:04:01.27 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 : 45979 -p-value of test : 0.32 +Observed number of collisions : 45729 +p-value of test : 0.76 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869979 - j = 1 : 399908045 - j = 2 : 45973 - j = 3 : 3 + j = 0 : 1743165869729 + j = 1 : 399908546 + j = 2 : 45721 + j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:17.65 +CPU time used : 00:05:31.86 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 : 46218 -p-value of test : 0.06 +Observed number of collisions : 45886 +p-value of test : 0.49 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165870218 - j = 1 : 399907566 - j = 2 : 46214 - j = 3 : 2 + j = 0 : 1743165869886 + j = 1 : 399908236 + j = 2 : 45870 + j = 3 : 8 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:32.54 +CPU time used : 00:06:17.93 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.019 -p-value of test : 0.96 +Kolmogorov-Smirnov+ statistic = D+ : 0.026 +p-value of test : 0.93 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.17 +Kolmogorov-Smirnov- statistic = D- : 0.094 +p-value of test : 0.46 -Anderson-Darling statistic = A2 : 1.12 -p-value of test : 0.30 +Anderson-Darling statistic = A2 : 0.57 +p-value of test : 0.68 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.08 +p-value of test : 0.21 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.082 -p-value of test : 0.55 +Kolmogorov-Smirnov+ statistic = D+ : 0.046 +p-value of test : 0.82 -Kolmogorov-Smirnov- statistic = D- : 0.064 -p-value of test : 0.69 +Kolmogorov-Smirnov- statistic = D- : 0.097 +p-value of test : 0.44 -Anderson-Darling statistic = A2 : 0.36 -p-value of test : 0.89 +Anderson-Darling statistic = A2 : 0.39 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:03:21.68 +CPU time used : 00:04:21.01 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.40 +Kolmogorov-Smirnov+ statistic = D+ : 0.060 +p-value of test : 0.77 -Kolmogorov-Smirnov- statistic = D- : 0.067 -p-value of test : 0.73 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.13 -Anderson-Darling statistic = A2 : 0.76 -p-value of test : 0.51 +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 : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.80 +p-value of test : 0.16 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.098 -p-value of test : 0.53 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.22 -Kolmogorov-Smirnov- statistic = D- : 0.19 -p-value of test : 0.10 +Kolmogorov-Smirnov- statistic = D- : 0.022 +p-value of test : 0.96 Anderson-Darling statistic = A2 : 1.10 p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:03:10.47 +CPU time used : 00:04:04.51 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.34 +Kolmogorov-Smirnov+ statistic = D+ : 0.021 +p-value of test : 0.97 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.57 +Kolmogorov-Smirnov- statistic = D- : 0.28 +p-value of test : 0.04 -Anderson-Darling statistic = A2 : 0.66 -p-value of test : 0.59 +Anderson-Darling statistic = A2 : 2.64 +p-value of test : 0.04 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.39 +p-value of test : 0.02 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.40 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.26 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.53 +Kolmogorov-Smirnov- statistic = D- : 0.055 +p-value of test : 0.86 -Anderson-Darling statistic = A2 : 1.01 -p-value of test : 0.35 +Anderson-Darling statistic = A2 : 1.02 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:02:26.81 +CPU time used : 00:03:11.54 Generator state: N/A @@ -1858,11 +1858,11 @@ Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.069 p-value of test : 0.79 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.54 +Kolmogorov-Smirnov- statistic = D- : 0.087 +p-value of test : 0.70 -Anderson-Darling statistic = A2 : 0.25 -p-value of test : 0.97 +Anderson-Darling statistic = A2 : 0.16 +p-value of test : 0.9982 Test on the sum of all N observations Number of degrees of freedom : 1999980 @@ -1873,18 +1873,18 @@ p-value of test : 0.45 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.24 -p-value of test : 0.09 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.45 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.14 +Kolmogorov-Smirnov- statistic = D- : 0.083 +p-value of test : 0.72 -Anderson-Darling statistic = A2 : 1.97 -p-value of test : 0.10 +Anderson-Darling statistic = A2 : 0.42 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:02:46.87 +CPU time used : 00:03:38.86 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.05 +Kolmogorov-Smirnov+ statistic = D+ : 0.065 +p-value of test : 0.68 -Kolmogorov-Smirnov- statistic = D- : 0.070 -p-value of test : 0.64 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.25 -Anderson-Darling statistic = A2 : 1.53 -p-value of test : 0.17 +Anderson-Darling statistic = A2 : 0.92 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:02:23.75 +CPU time used : 00:03:10.95 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.099 -p-value of test : 0.64 +Kolmogorov-Smirnov+ statistic = D+ : 0.037 +p-value of test : 0.93 Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.45 +p-value of test : 0.46 -Anderson-Darling statistic = A2 : 0.78 -p-value of test : 0.49 +Anderson-Darling statistic = A2 : 0.53 +p-value of test : 0.71 ----------------------------------------------- -CPU time used : 00:01:44.05 +CPU time used : 00:02:15.87 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.042 -p-value of test : 0.91 +Kolmogorov-Smirnov+ statistic = D+ : 0.063 +p-value of test : 0.82 -Kolmogorov-Smirnov- statistic = D- : 0.25 -p-value of test : 0.07 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.49 -Anderson-Darling statistic = A2 : 1.31 -p-value of test : 0.23 +Anderson-Darling statistic = A2 : 0.28 +p-value of test : 0.96 ----------------------------------------------- -CPU time used : 00:02:14.06 +CPU time used : 00:02:52.90 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.66e-4 -p-value of test : 0.33 +Kolmogorov-Smirnov+ statistic = D+ : 1.71e-4 +p-value of test : 0.31 -Kolmogorov-Smirnov- statistic = D- : 7.05e-5 -p-value of test : 0.82 +Kolmogorov-Smirnov- statistic = D- : 5.75e-5 +p-value of test : 0.88 -Anderson-Darling statistic = A2 : 0.50 -p-value of test : 0.75 +Anderson-Darling statistic = A2 : 1.31 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:00:32.30 +CPU time used : 00:00:40.70 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.21e-4 -p-value of test : 0.56 +Kolmogorov-Smirnov+ statistic = D+ : 2.00e-4 +p-value of test : 0.20 -Kolmogorov-Smirnov- statistic = D- : 1.72e-4 -p-value of test : 0.31 +Kolmogorov-Smirnov- statistic = D- : 1.17e-4 +p-value of test : 0.58 -Anderson-Darling statistic = A2 : 0.79 -p-value of test : 0.49 +Anderson-Darling statistic = A2 : 1.09 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:00:33.89 +CPU time used : 00:00:43.75 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.57 -p-value of test : 0.72 +Normal statistic : 0.22 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:00:31.54 +CPU time used : 00:00:47.37 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.67 -p-value of test : 0.25 +Normal statistic : -0.29 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:00:31.12 +CPU time used : 00:00:47.27 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -2.15 -p-value of test : 0.98 +Normal statistic : 0.64 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:01:59.52 +CPU time used : 00:02:37.10 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -0.17 -p-value of test : 0.57 +Normal statistic : -0.11 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:02:08.73 +CPU time used : 00:02:42.45 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 62.12 -p-value of test : 0.65 +Chi-square statistic : 70.77 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:01:23.79 +CPU time used : 00:01:51.27 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 48.67 -p-value of test : 0.96 +Chi-square statistic : 74.95 +p-value of test : 0.24 ----------------------------------------------- -CPU time used : 00:01:41.79 +CPU time used : 00:02:11.53 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 73.28 -p-value of test : 0.28 +Chi-square statistic : 37.63 +p-value of test : 0.9986 ----------------------------------------------- -CPU time used : 00:01:37.12 +CPU time used : 00:02:12.48 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 34.33 -p-value of test : 0.60 +Chi-square statistic : 23.83 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:01:22.53 +CPU time used : 00:01:49.90 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 30.64 -p-value of test : 0.76 +Chi-square statistic : 50.42 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:01:40.68 +CPU time used : 00:02:11.55 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 26.70 -p-value of test : 0.89 +Chi-square statistic : 42.68 +p-value of test : 0.24 ----------------------------------------------- -CPU time used : 00:01:39.59 +CPU time used : 00:02:11.78 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 19.34 -p-value of test : 0.91 +Chi-square statistic : 28.97 +p-value of test : 0.47 ----------------------------------------------- -CPU time used : 00:02:42.90 +CPU time used : 00:03:33.94 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.53 +Kolmogorov-Smirnov+ statistic = D+ : 0.24 +p-value of test : 0.27 -Kolmogorov-Smirnov- statistic = D- : 0.10 +Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.75 -Anderson-Darling statistic = A2 : 0.50 -p-value of test : 0.74 +Anderson-Darling statistic = A2 : 0.42 +p-value of test : 0.82 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 42.44 -p-value of test : 0.37 +Chi-square statistic : 37.91 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:01:22.76 +CPU time used : 00:01:54.87 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.077 -p-value of test : 0.85 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.58 -Kolmogorov-Smirnov- statistic = D- : 0.22 -p-value of test : 0.32 +Kolmogorov-Smirnov- statistic = D- : 0.27 +p-value of test : 0.20 -Anderson-Darling statistic = A2 : 0.60 -p-value of test : 0.64 +Anderson-Darling statistic = A2 : 0.83 +p-value of test : 0.45 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 47.08 -p-value of test : 0.21 +Chi-square statistic : 41.55 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:01:24.01 +CPU time used : 00:01:55.35 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 0.88 -p-value of test : 0.83 +Chi-square statistic : 1.54 +p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:02:14.63 +CPU time used : 00:03:13.56 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 1.47 -p-value of test : 0.69 +Chi-square statistic : 0.37 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:02:13.27 +CPU time used : 00:03:13.38 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 5.71 -p-value of test : 0.06 +Chi-square statistic : 0.42 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:01:32.95 +CPU time used : 00:02:12.05 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.010 -p-value of test : 0.9949 +Chi-square statistic : 7.18 +p-value of test : 0.03 ----------------------------------------------- -CPU time used : 00:01:17.69 +CPU time used : 00:01:47.58 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.68 +Kolmogorov-Smirnov+ statistic = D+ : 0.26 +p-value of test : 0.21 -Kolmogorov-Smirnov- statistic = D- : 0.40 -p-value of test : 0.03 +Kolmogorov-Smirnov- statistic = D- : 0.083 +p-value of test : 0.83 -Anderson-Darling statistic = A2 : 2.55 -p-value of test : 0.05 +Anderson-Darling statistic = A2 : 1.04 +p-value of test : 0.33 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 151.89 -p-value of test : 0.09 +Chi-square statistic : 110.47 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:01:00.63 +CPU time used : 00:01:16.45 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.56 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.43 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.50 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.48 -Anderson-Darling statistic = A2 : 0.43 -p-value of test : 0.81 +Anderson-Darling statistic = A2 : 0.64 +p-value of test : 0.60 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17364.37 -p-value of test : 0.64 +Chi-square statistic :17351.81 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:01:55.23 +CPU time used : 00:02:03.29 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 : 43.10 -p-value of test : 0.19 +ChiSquare statistic : 53.17 +p-value of test : 0.03 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 36.43 -p-value of test : 0.40 +ChiSquare statistic : 49.56 +p-value of test : 0.05 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 25.39 -p-value of test : 0.44 +ChiSquare statistic : 22.10 +p-value of test : 0.63 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 30.94 -p-value of test : 0.16 +ChiSquare statistic : 15.46 +p-value of test : 0.91 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 15.14 -p-value of test : 0.59 +ChiSquare statistic : 22.13 +p-value of test : 0.18 ----------------------------------------------- -CPU time used : 00:00:47.67 +CPU time used : 00:01:03.81 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 : 42.35 -p-value of test : 0.22 +ChiSquare statistic : 24.69 +p-value of test : 0.92 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 29.93 -p-value of test : 0.71 +ChiSquare statistic : 33.23 +p-value of test : 0.55 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 25.82 -p-value of test : 0.42 +ChiSquare statistic : 20.06 +p-value of test : 0.74 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 14.97 -p-value of test : 0.92 +ChiSquare statistic : 23.11 +p-value of test : 0.51 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 16.05 -p-value of test : 0.52 +ChiSquare statistic : 18.67 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:00:47.55 +CPU time used : 00:01:04.95 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 : 154.08 -p-value of test : 0.31 +ChiSquare statistic : 134.91 +p-value of test : 0.73 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 171.32 -p-value of test : 0.07 +ChiSquare statistic : 138.34 +p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 464.57 -p-value of test : 0.87 +ChiSquare statistic : 530.40 +p-value of test : 0.17 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 112.27 -p-value of test : 0.93 +ChiSquare statistic : 133.00 +p-value of test : 0.56 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 67.77 -p-value of test : 0.68 +ChiSquare statistic : 70.27 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:00:57.23 +CPU time used : 00:01:23.68 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 : 148.69 -p-value of test : 0.42 +ChiSquare statistic : 145.24 +p-value of test : 0.50 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 133.69 -p-value of test : 0.76 +ChiSquare statistic : 135.66 +p-value of test : 0.72 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 458.08 -p-value of test : 0.91 +ChiSquare statistic : 509.23 +p-value of test : 0.38 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 135.77 -p-value of test : 0.49 +ChiSquare statistic : 154.28 +p-value of test : 0.14 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 124.64 -p-value of test : 2.1e-4 ***** +ChiSquare statistic : 62.87 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:01:01.53 +CPU time used : 00:01:24.68 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 : 432.63 -p-value of test : 0.04 +ChiSquare statistic : 407.06 +p-value of test : 0.20 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 405.71 -p-value of test : 0.21 +ChiSquare statistic : 417.45 +p-value of test : 0.12 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4825.00 -p-value of test : 0.96 +ChiSquare statistic : 4959.95 +p-value of test : 0.65 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 369.97 -p-value of test : 0.61 +ChiSquare statistic : 366.10 +p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 202.46 -p-value of test : 0.44 +ChiSquare statistic : 147.75 +p-value of test : 0.9978 ----------------------------------------------- -CPU time used : 00:00:47.89 +CPU time used : 00:01:09.99 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 : 379.96 -p-value of test : 0.55 +ChiSquare statistic : 361.25 +p-value of test : 0.79 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 391.78 -p-value of test : 0.38 +ChiSquare statistic : 419.54 +p-value of test : 0.10 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4975.04 -p-value of test : 0.60 +ChiSquare statistic : 4996.12 +p-value of test : 0.51 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 405.98 -p-value of test : 0.15 +ChiSquare statistic : 366.93 +p-value of test : 0.65 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 198.05 -p-value of test : 0.53 +ChiSquare statistic : 209.40 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:00:47.70 +CPU time used : 00:01:10.77 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 8.85 -p-value of test : 0.72 +Chi2 statistic for size of jumps : 16.16 +p-value of test : 0.18 ----------------------------------------------- -Normal statistic for number of jumps : -402.80 +Normal statistic for number of jumps : -402.91 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:07.87 +CPU time used : 00:00:11.84 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 17.02 -p-value of test : 0.15 +Chi2 statistic for size of jumps : 6.23 +p-value of test : 0.90 ----------------------------------------------- -Normal statistic for number of jumps : -403.12 +Normal statistic for number of jumps : -402.54 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:07.88 +CPU time used : 00:00:11.66 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 5.23e-3 -p-value of test : 0.9945 +Kolmogorov-Smirnov+ statistic = D+ : 0.27 +p-value of test : 0.21 -Kolmogorov-Smirnov- statistic = D- : 0.50 -p-value of test : 3.9e-3 +Kolmogorov-Smirnov- statistic = D- : 0.087 +p-value of test : 0.81 -Anderson-Darling statistic = A2 : 3.80 -p-value of test : 0.01 +Anderson-Darling statistic = A2 : 0.66 +p-value of test : 0.58 Tests on the sum of all N observations -Standardized normal statistic : 2.66 -p-value of test : 3.9e-3 +Standardized normal statistic : -0.51 +p-value of test : 0.69 -Sample variance : 0.78 -p-value of test : 0.64 +Sample variance : 1.12 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:00:55.88 +CPU time used : 00:01:17.15 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.24 -p-value of test : 0.26 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.67 -Kolmogorov-Smirnov- statistic = D- : 0.059 -p-value of test : 0.90 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.73 -Anderson-Darling statistic = A2 : 0.75 -p-value of test : 0.51 +Anderson-Darling statistic = A2 : 0.21 +p-value of test : 0.99 Tests on the sum of all N observations -Standardized normal statistic : -0.85 -p-value of test : 0.80 +Standardized normal statistic : -0.11 +p-value of test : 0.55 -Sample variance : 1.33 -p-value of test : 0.21 +Sample variance : 0.97 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:00:58.47 +CPU time used : 00:01:25.65 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.017 -p-value of test : 0.09 +Kolmogorov-Smirnov+ statistic = D+ : 5.19e-3 +p-value of test : 0.80 -Kolmogorov-Smirnov- statistic = D- : 7.82e-3 -p-value of test : 0.60 +Kolmogorov-Smirnov- statistic = D- : 7.75e-3 +p-value of test : 0.61 -Anderson-Darling statistic = A2 : 1.50 -p-value of test : 0.18 +Anderson-Darling statistic = A2 : 0.15 +p-value of test : 0.9986 ----------------------------------------------- -CPU time used : 00:00:47.43 +CPU time used : 00:00:58.38 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 5.85e-3 -p-value of test : 0.75 +Kolmogorov-Smirnov+ statistic = D+ : 9.84e-3 +p-value of test : 0.45 -Kolmogorov-Smirnov- statistic = D- : 0.011 -p-value of test : 0.35 +Kolmogorov-Smirnov- statistic = D- : 5.36e-3 +p-value of test : 0.79 -Anderson-Darling statistic = A2 : 0.50 -p-value of test : 0.75 +Anderson-Darling statistic = A2 : 0.47 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:00:46.69 +CPU time used : 00:00:57.04 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 6.87 -p-value of test : 0.55 +Chi-square statistic : 9.86 +p-value of test : 0.27 ----------------------------------------------- -Global longest run of 1 : 31.00 -p-value of test : 0.69 +Global longest run of 1 : 32.00 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:01:39.69 +CPU time used : 00:01:56.74 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 11.81 -p-value of test : 0.16 +Chi-square statistic : 11.02 +p-value of test : 0.20 ----------------------------------------------- -Global longest run of 1 : 30.00 -p-value of test : 0.90 +Global longest run of 1 : 33.00 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:01:43.21 +CPU time used : 00:01:58.77 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+ : 0.039 +p-value of test : 0.95 -Kolmogorov-Smirnov- statistic = D- : 0.25 -p-value of test : 0.24 +Kolmogorov-Smirnov- statistic = D- : 0.40 +p-value of test : 0.03 -Anderson-Darling statistic = A2 : 1.09 -p-value of test : 0.31 +Anderson-Darling statistic = A2 : 1.88 +p-value of test : 0.11 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 227.87 -p-value of test : 0.09 +Chi-square statistic : 233.89 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:02:42.69 +CPU time used : 00:03:33.54 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.28 -p-value of test : 0.17 +Kolmogorov-Smirnov+ statistic = D+ : 0.032 +p-value of test : 0.96 -Kolmogorov-Smirnov- statistic = D- : 0.051 -p-value of test : 0.92 +Kolmogorov-Smirnov- statistic = D- : 0.26 +p-value of test : 0.21 -Anderson-Darling statistic = A2 : 1.41 -p-value of test : 0.20 +Anderson-Darling statistic = A2 : 0.80 +p-value of test : 0.48 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 169.60 -p-value of test : 0.94 +Chi-square statistic : 221.73 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:02:45.37 +CPU time used : 00:03:38.70 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.011 -p-value of test : 0.99 +Kolmogorov-Smirnov+ statistic = D+ : 0.087 +p-value of test : 0.82 -Kolmogorov-Smirnov- statistic = D- : 0.28 -p-value of test : 0.17 +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.45 -Anderson-Darling statistic = A2 : 1.25 -p-value of test : 0.25 +Anderson-Darling statistic = A2 : 0.40 +p-value of test : 0.84 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10213.62 -p-value of test : 0.07 +Chi-square statistic :10078.82 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:01:05.87 +CPU time used : 00:01:21.13 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.63 +Kolmogorov-Smirnov+ statistic = D+ : 0.082 +p-value of test : 0.83 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.64 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.46 -Anderson-Darling statistic = A2 : 0.26 -p-value of test : 0.97 +Anderson-Darling statistic = A2 : 0.41 +p-value of test : 0.84 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10005.36 -p-value of test : 0.48 +Chi-square statistic :10055.63 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:01:07.94 +CPU time used : 00:01:22.54 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.28 -p-value of test : 0.61 +Normal statistic : -0.54 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:01:20.95 +CPU time used : 00:01:34.22 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.90 -p-value of test : 0.82 +Normal statistic : 2.33 +p-value of test : 9.9e-3 ----------------------------------------------- -CPU time used : 00:01:17.92 +CPU time used : 00:01:28.81 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.58 -p-value of test : 0.72 +Normal statistic : 0.95 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:05:04.84 +CPU time used : 00:05:49.63 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.35 -p-value of test : 0.07 +Kolmogorov-Smirnov+ statistic = D+ : 0.056 +p-value of test : 0.91 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.51 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.35 -Anderson-Darling statistic = A2 : 1.34 -p-value of test : 0.22 +Anderson-Darling statistic = A2 : 0.50 +p-value of test : 0.74 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4806.11 -p-value of test : 0.80 +Chi-square statistic : 4962.76 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:02:08.69 +CPU time used : 00:02:33.91 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 0.15 +Kolmogorov-Smirnov+ statistic = D+ : 0.23 +p-value of test : 0.29 -Kolmogorov-Smirnov- statistic = D- : 0.080 -p-value of test : 0.84 +Kolmogorov-Smirnov- statistic = D- : 0.29 +p-value of test : 0.15 -Anderson-Darling statistic = A2 : 1.26 -p-value of test : 0.25 +Anderson-Darling statistic = A2 : 1.34 +p-value of test : 0.22 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4777.81 -p-value of test : 0.87 +Chi-square statistic : 4890.77 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:02:15.05 +CPU time used : 00:02:36.88 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 : 4011.25 -p-value of test : 0.88 +Chi-square statistic : 4160.77 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:01:37.12 +CPU time used : 00:01:54.77 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 : 4087.74 -p-value of test : 0.62 +Chi-square statistic : 4187.90 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:01:42.20 +CPU time used : 00:01:56.24 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 :11923.85 -p-value of test : 0.26 +Chi-square statistic :12147.90 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:01:45.77 +CPU time used : 00:02:04.41 Generator state: N/A @@ -3549,11 +3549,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 -Chi-square statistic :11790.47 -p-value of test : 0.59 +Chi-square statistic :11983.55 +p-value of test : 0.15 -------------
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