http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/src/site/resources/txt/userguide/stress/tu/run_1/tu_8 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_1/tu_8 b/src/site/resources/txt/userguide/stress/tu/run_1/tu_8 index 042d209..a8a4c75 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_1/tu_8 +++ b/src/site/resources/txt/userguide/stress/tu/run_1/tu_8 @@ -1,5 +1,5 @@ # -# RNG: org.apache.commons.math4.rng.internal.source32.Well44497b +# RNG: org.apache.commons.rng.internal.source32.Well44497b # # 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 : 0.54 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:01:55.29 +CPU time used : 00:02:18.28 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 : 0.92 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:01:42.19 +CPU time used : 00:02:36.31 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 : 1367 -p-value of test : 0.47 +Observed number of collisions : 1312 +p-value of test : 0.92 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334487 - j = 1 : 599997266 - j = 2 : 1367 + j = 0 : 131940795334432 + j = 1 : 599997376 + j = 2 : 1312 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:17.61 +CPU time used : 00:05:35.24 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 : 1394 -p-value of test : 0.21 +Observed number of collisions : 1354 +p-value of test : 0.60 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334514 - j = 1 : 599997212 - j = 2 : 1394 + j = 0 : 131940795334474 + j = 1 : 599997292 + j = 2 : 1354 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:19.72 +CPU time used : 00:06:49.50 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 : 1347 -p-value of test : 0.67 +Observed number of collisions : 1405 +p-value of test : 0.14 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334467 - j = 1 : 599997306 - j = 2 : 1347 + j = 0 : 131940795334525 + j = 1 : 599997190 + j = 2 : 1405 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:53.50 +CPU time used : 00:09:26.18 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 : 1375 -p-value of test : 0.39 +Observed number of collisions : 1422 +p-value of test : 0.06 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334495 - j = 1 : 599997250 - j = 2 : 1375 + j = 0 : 131940795334542 + j = 1 : 599997156 + j = 2 : 1422 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:44.17 +CPU time used : 00:09:12.05 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 : 1410 -p-value of test : 0.11 +Observed number of collisions : 1314 +p-value of test : 0.91 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334530 - j = 1 : 599997180 - j = 2 : 1410 + j = 0 : 131940795334434 + j = 1 : 599997372 + j = 2 : 1314 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:31.99 +CPU time used : 00:10:11.98 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 : 1420 -p-value of test : 0.07 +Observed number of collisions : 1396 +p-value of test : 0.20 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334540 - j = 1 : 599997160 - j = 2 : 1420 + j = 0 : 131940795334516 + j = 1 : 599997208 + j = 2 : 1396 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:05.63 +CPU time used : 00:09:47.30 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 : 1357 -p-value of test : 0.57 +Observed number of collisions : 1319 +p-value of test : 0.89 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334477 - j = 1 : 599997286 - j = 2 : 1357 + j = 0 : 131940795334439 + j = 1 : 599997362 + j = 2 : 1319 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:43.78 +CPU time used : 00:09:37.53 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 : 1332 -p-value of test : 0.80 +Observed number of collisions : 1373 +p-value of test : 0.41 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334452 - j = 1 : 599997336 - j = 2 : 1332 + j = 0 : 131940795334493 + j = 1 : 599997254 + j = 2 : 1373 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:39.25 +CPU time used : 00:09:38.47 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 : 1290 -p-value of test : 0.98 +Observed number of collisions : 1391 +p-value of test : 0.24 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334410 - j = 1 : 599997420 - j = 2 : 1290 + j = 0 : 131940795334511 + j = 1 : 599997218 + j = 2 : 1391 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:37.38 +CPU time used : 00:09:02.10 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 : 1295 -p-value of test : 0.97 +Observed number of collisions : 1330 +p-value of test : 0.82 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334415 - j = 1 : 599997410 - j = 2 : 1295 + j = 0 : 131940795334450 + j = 1 : 599997340 + j = 2 : 1330 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:04.25 +CPU time used : 00:07:59.47 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5478 -p-value of test : 0.22 +Total observed number : 5480 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:04:27.17 +CPU time used : 00:05:39.96 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4573 -p-value of test : 1.9e-4 ***** +Total observed number : 4407 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:01:58.42 +CPU time used : 00:02:30.50 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7342 -p-value of test : 0.39 +Total observed number : 7365 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:03:13.93 +CPU time used : 00:04:14.78 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4284 -p-value of test : 0.79 +Total observed number : 4292 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:02:23.27 +CPU time used : 00:03:08.68 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4338 -p-value of test : 0.49 +Total observed number : 4350 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:02:31.27 +CPU time used : 00:03:20.64 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7496 -p-value of test : 0.02 +Total observed number : 7373 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:04:04.72 +CPU time used : 00:05:22.86 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7320 -p-value of test : 0.49 +Total observed number : 7315 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:04:01.22 +CPU time used : 00:05:24.26 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7290 -p-value of test : 0.63 +Total observed number : 7253 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:05:06.27 +CPU time used : 00:06:59.90 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7179 -p-value of test : 0.95 +Total observed number : 7348 +p-value of test : 0.37 ----------------------------------------------- -CPU time used : 00:05:36.10 +CPU time used : 00:07:42.13 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) : 0.51 -p-value of test : 0.74 +Stat. AD on the N values (NP) : 1.87 +p-value of test : 0.11 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) : 0.77 -p-value of test : 0.50 +A2 test on the values of A2 (m-NP) : 0.61 +p-value of test : 0.64 -Test on the Nm values of W_{n,i}(mNP1): 0.83 -p-value of test : 0.46 +Test on the Nm values of W_{n,i}(mNP1): 0.33 +p-value of test : 0.91 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 896 -p-value of test : 0.54 +Number of jumps of Y : 883 +p-value of test : 0.71 -Stat. AD (mNP2) : 0.55 -p-value of test : 0.69 +Stat. AD (mNP2) : 1.59 +p-value of test : 0.16 -Stat. AD after spacings (mNP2-S) : 2.82 -p-value of test : 0.03 +Stat. AD after spacings (mNP2-S) : 1.27 +p-value of test : 0.24 ----------------------------------------------- -CPU time used : 00:03:12.47 +CPU time used : 00:04:48.43 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) : 2.39 -p-value of test : 0.06 +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) : 0.50 -p-value of test : 0.75 +A2 test on the values of A2 (m-NP) : 1.15 +p-value of test : 0.29 -Test on the Nm values of W_{n,i}(mNP1): 2.08 -p-value of test : 0.08 +Test on the Nm values of W_{n,i}(mNP1): 0.33 +p-value of test : 0.92 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 574 -p-value of test : 0.85 - -Stat. AD (mNP2) : 0.78 +Number of jumps of Y : 601 p-value of test : 0.49 +Stat. AD (mNP2) : 0.27 +p-value of test : 0.96 + Stat. AD after spacings (mNP2-S) : 0.58 p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:02:02.89 +CPU time used : 00:02:53.34 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) : 0.26 -p-value of test : 0.96 +Stat. AD on the N values (NP) : 0.37 +p-value of test : 0.88 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) : 1.45 -p-value of test : 0.19 +A2 test on the values of A2 (m-NP) : 1.24 +p-value of test : 0.25 -Test on the Nm values of W_{n,i}(mNP1): 0.37 -p-value of test : 0.88 +Test on the Nm values of W_{n,i}(mNP1): 0.46 +p-value of test : 0.78 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 297 -p-value of test : 0.55 +Number of jumps of Y : 294 +p-value of test : 0.62 -Stat. AD (mNP2) : 1.10 -p-value of test : 0.31 +Stat. AD (mNP2) : 0.91 +p-value of test : 0.41 -Stat. AD after spacings (mNP2-S) : 0.67 -p-value of test : 0.58 +Stat. AD after spacings (mNP2-S) : 1.13 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:03:01.50 +CPU time used : 00:04:07.36 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) : 0.34 -p-value of test : 0.90 +Stat. AD on the N values (NP) : 0.90 +p-value of test : 0.41 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) : 0.61 -p-value of test : 0.63 +A2 test on the values of A2 (m-NP) : 2.05 +p-value of test : 0.09 -Test on the Nm values of W_{n,i}(mNP1): 1.14 -p-value of test : 0.29 +Test on the Nm values of W_{n,i}(mNP1): 0.48 +p-value of test : 0.76 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 134 -p-value of test : 0.90 +Number of jumps of Y : 145 +p-value of test : 0.64 -Stat. AD (mNP2) : 1.42 -p-value of test : 0.20 +Stat. AD (mNP2) : 3.69 +p-value of test : 0.01 -Stat. AD after spacings (mNP2-S) : 0.88 -p-value of test : 0.43 +Stat. AD after spacings (mNP2-S) : 0.62 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:03:23.14 +CPU time used : 00:04:18.10 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 9.36 -p-value of test : 0.23 +Chi-square statistic : 8.38 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:01:17.73 +CPU time used : 00:01:42.78 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 4.67 -p-value of test : 0.70 +Chi-square statistic : 9.35 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:01:30.35 +CPU time used : 00:02:00.54 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 23.66 -p-value of test : 0.17 +Chi-square statistic : 11.19 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:01:17.82 +CPU time used : 00:01:39.07 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 13.62 -p-value of test : 0.75 +Chi-square statistic : 24.83 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:01:29.28 +CPU time used : 00:01:56.95 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 58.90 -p-value of test : 0.30 +Chi-square statistic : 79.88 +p-value of test : 0.01 ----------------------------------------------- -CPU time used : 00:01:42.06 +CPU time used : 00:02:09.79 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 49.51 -p-value of test : 0.65 +Chi-square statistic : 61.70 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:01:55.84 +CPU time used : 00:02:29.34 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 64.98 -p-value of test : 0.15 +Chi-square statistic : 43.82 +p-value of test : 0.84 ----------------------------------------------- -CPU time used : 00:01:52.64 +CPU time used : 00:02:26.94 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 60.28 -p-value of test : 0.26 +Chi-square statistic : 49.81 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:01:50.31 +CPU time used : 00:02:21.87 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 259.99 -p-value of test : 0.10 +Chi-square statistic : 213.01 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:02:14.35 +CPU time used : 00:02:42.17 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 425.54 -p-value of test : 0.60 +Chi-square statistic : 394.72 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:02:51.93 +CPU time used : 00:03:52.61 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1418.24 -p-value of test : 0.63 +Chi-square statistic : 1470.73 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:03:29.22 +CPU time used : 00:04:05.01 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 6835.94 -p-value of test : 0.96 +Chi-square statistic : 6881.55 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:03:08.93 +CPU time used : 00:04:05.42 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.76 +Kolmogorov-Smirnov+ statistic = D+ : 0.69 +p-value of test : 3.4e-3 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.68 +Kolmogorov-Smirnov- statistic = D- : 0.038 +p-value of test : 0.96 -Anderson-Darling statistic = A2 : 0.28 -p-value of test : 0.95 +Anderson-Darling statistic = A2 : 3.67 +p-value of test : 0.01 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 32.81 -p-value of test : 0.33 +Chi-square statistic : 13.63 +p-value of test : 0.9955 ----------------------------------------------- -CPU time used : 00:01:49.39 +CPU time used : 00:02:02.72 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.34 -p-value of test : 0.08 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.42 -Kolmogorov-Smirnov- statistic = D- : 1.58e-3 -p-value of test : 0.9984 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.47 -Anderson-Darling statistic = A2 : 2.82 -p-value of test : 0.03 +Anderson-Darling statistic = A2 : 0.68 +p-value of test : 0.57 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 38.69 -p-value of test : 0.99 +Chi-square statistic : 68.07 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:04:08.97 +CPU time used : 00:04:57.13 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 : 2.47 -p-value of test : 0.78 +Value of the statistic : 6.56 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:01:14.23 +CPU time used : 00:01:32.70 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 : 97.05 -p-value of test : 0.93 +Value of the statistic : 113.41 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:02:08.54 +CPU time used : 00:02:38.19 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 : 4996.02 -p-value of test : 0.66 +Value of the statistic : 5066.84 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:01:36.70 +CPU time used : 00:01:59.63 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 : 0.73 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:03:02.09 +CPU time used : 00:03:53.69 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 : 45834 -p-value of test : 0.58 +Observed number of collisions : 45894 +p-value of test : 0.47 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869834 - j = 1 : 399908336 - j = 2 : 45826 - j = 3 : 4 + j = 0 : 1743165869894 + j = 1 : 399908213 + j = 2 : 45892 + j = 3 : 1 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:07.70 +CPU time used : 00:05:56.52 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 : 45984 -p-value of test : 0.31 +Observed number of collisions : 45832 +p-value of test : 0.59 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869984 - j = 1 : 399908038 - j = 2 : 45972 - j = 3 : 6 + j = 0 : 1743165869832 + j = 1 : 399908340 + j = 2 : 45824 + j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:12.18 +CPU time used : 00:05:49.30 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.086 -p-value of test : 0.53 +Kolmogorov-Smirnov+ statistic = D+ : 0.096 +p-value of test : 0.45 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.14 +Kolmogorov-Smirnov- statistic = D- : 0.086 +p-value of test : 0.52 -Anderson-Darling statistic = A2 : 1.11 -p-value of test : 0.31 +Anderson-Darling statistic = A2 : 0.44 +p-value of test : 0.81 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.29 +p-value of test : 0.54 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.050 -p-value of test : 0.79 +Kolmogorov-Smirnov+ statistic = D+ : 0.087 +p-value of test : 0.52 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.26 +Kolmogorov-Smirnov- statistic = D- : 0.079 +p-value of test : 0.57 -Anderson-Darling statistic = A2 : 0.78 -p-value of test : 0.50 +Anderson-Darling statistic = A2 : 0.33 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:03:12.54 +CPU time used : 00:04:13.12 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.09 +Kolmogorov-Smirnov+ statistic = D+ : 0.079 +p-value of test : 0.65 -Kolmogorov-Smirnov- statistic = D- : 0.018 -p-value of test : 0.97 +Kolmogorov-Smirnov- statistic = D- : 0.069 +p-value of test : 0.72 -Anderson-Darling statistic = A2 : 1.27 -p-value of test : 0.24 +Anderson-Darling statistic = A2 : 0.27 +p-value of test : 0.96 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.93 +p-value of test : 0.37 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.084 -p-value of test : 0.62 +Kolmogorov-Smirnov+ statistic = D+ : 0.024 +p-value of test : 0.95 -Kolmogorov-Smirnov- statistic = D- : 0.099 -p-value of test : 0.52 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.32 -Anderson-Darling statistic = A2 : 0.30 -p-value of test : 0.94 +Anderson-Darling statistic = A2 : 1.06 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:03:03.43 +CPU time used : 00:04:00.28 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.41 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.54 -Kolmogorov-Smirnov- statistic = D- : 0.082 -p-value of test : 0.73 +Kolmogorov-Smirnov- statistic = D- : 0.096 +p-value of test : 0.65 -Anderson-Darling statistic = A2 : 0.41 -p-value of test : 0.84 +Anderson-Darling statistic = A2 : 0.33 +p-value of test : 0.91 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.66 +p-value of test : 0.49 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.067 -p-value of test : 0.80 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.60 -Kolmogorov-Smirnov- statistic = D- : 0.25 -p-value of test : 0.07 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.60 -Anderson-Darling statistic = A2 : 1.13 -p-value of test : 0.29 +Anderson-Darling statistic = A2 : 0.42 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:02:28.45 +CPU time used : 00:03:10.76 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.21 +Kolmogorov-Smirnov+ statistic = D+ : 0.018 +p-value of test : 0.97 -Kolmogorov-Smirnov- statistic = D- : 0.025 -p-value of test : 0.96 +Kolmogorov-Smirnov- statistic = D- : 0.29 +p-value of test : 0.03 -Anderson-Darling statistic = A2 : 1.08 -p-value of test : 0.32 +Anderson-Darling statistic = A2 : 3.31 +p-value of test : 0.02 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.91 +p-value of test : 0.01 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.59 +Kolmogorov-Smirnov+ statistic = D+ : 0.22 +p-value of test : 0.12 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.46 +Kolmogorov-Smirnov- statistic = D- : 0.049 +p-value of test : 0.88 -Anderson-Darling statistic = A2 : 0.35 -p-value of test : 0.89 +Anderson-Darling statistic = A2 : 1.81 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:02:51.89 +CPU time used : 00:03:38.64 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.070 -p-value of test : 0.64 +Kolmogorov-Smirnov+ statistic = D+ : 0.045 +p-value of test : 0.82 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.31 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.21 -Anderson-Darling statistic = A2 : 0.36 -p-value of test : 0.88 +Anderson-Darling statistic = A2 : 0.79 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:02:33.19 +CPU time used : 00:03:07.14 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.45 +Kolmogorov-Smirnov+ statistic = D+ : 0.30 +p-value of test : 0.02 -Kolmogorov-Smirnov- statistic = D- : 0.058 -p-value of test : 0.84 +Kolmogorov-Smirnov- statistic = D- : 0.020 +p-value of test : 0.97 -Anderson-Darling statistic = A2 : 0.65 -p-value of test : 0.60 +Anderson-Darling statistic = A2 : 2.14 +p-value of test : 0.08 ----------------------------------------------- -CPU time used : 00:01:51.76 +CPU time used : 00:02:13.54 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.52 +Kolmogorov-Smirnov+ statistic = D+ : 0.057 +p-value of test : 0.84 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.17 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.31 -Anderson-Darling statistic = A2 : 1.21 -p-value of test : 0.26 +Anderson-Darling statistic = A2 : 1.10 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:02:22.14 +CPU time used : 00:02:49.87 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 4.62e-5 -p-value of test : 0.92 +Kolmogorov-Smirnov+ statistic = D+ : 1.04e-4 +p-value of test : 0.65 -Kolmogorov-Smirnov- statistic = D- : 3.03e-4 -p-value of test : 0.03 +Kolmogorov-Smirnov- statistic = D- : 1.47e-4 +p-value of test : 0.42 -Anderson-Darling statistic = A2 : 3.00 -p-value of test : 0.03 +Anderson-Darling statistic = A2 : 0.43 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:00:33.32 +CPU time used : 00:00:41.94 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 2.36e-4 -p-value of test : 0.11 +Kolmogorov-Smirnov+ statistic = D+ : 1.12e-4 +p-value of test : 0.60 -Kolmogorov-Smirnov- statistic = D- : 7.68e-5 -p-value of test : 0.79 +Kolmogorov-Smirnov- statistic = D- : 1.00e-4 +p-value of test : 0.67 -Anderson-Darling statistic = A2 : 1.34 -p-value of test : 0.22 +Anderson-Darling statistic = A2 : 0.29 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:00:34.18 +CPU time used : 00:00:43.79 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -1.23 -p-value of test : 0.89 +Normal statistic : -0.12 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:00:34.43 +CPU time used : 00:00:44.28 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -1.12 -p-value of test : 0.87 +Normal statistic : -0.41 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:00:33.97 +CPU time used : 00:00:44.28 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 1.50 -p-value of test : 0.07 +Normal statistic : -1.57 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:01:57.72 +CPU time used : 00:02:29.48 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -0.62 -p-value of test : 0.73 +Normal statistic : 0.068 +p-value of test : 0.47 ----------------------------------------------- -CPU time used : 00:02:04.36 +CPU time used : 00:02:34.10 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 66.00 -p-value of test : 0.51 +Chi-square statistic : 67.61 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:01:29.15 +CPU time used : 00:01:43.61 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 51.09 -p-value of test : 0.93 +Chi-square statistic : 71.59 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:01:33.25 +CPU time used : 00:02:11.98 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 81.17 -p-value of test : 0.11 +Chi-square statistic : 55.10 +p-value of test : 0.85 ----------------------------------------------- -CPU time used : 00:01:36.50 +CPU time used : 00:02:12.09 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 40.63 -p-value of test : 0.31 +Chi-square statistic : 49.87 +p-value of test : 0.08 ----------------------------------------------- -CPU time used : 00:01:31.04 +CPU time used : 00:01:43.31 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 52.00 -p-value of test : 0.05 +Chi-square statistic : 31.46 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:01:53.54 +CPU time used : 00:02:11.11 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 27.47 -p-value of test : 0.87 +Chi-square statistic : 33.84 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:01:51.12 +CPU time used : 00:02:11.70 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 32.05 -p-value of test : 0.32 +Chi-square statistic : 28.01 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:02:57.77 +CPU time used : 00:03:28.37 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.080 -p-value of test : 0.84 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.36 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.41 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.56 -Anderson-Darling statistic = A2 : 0.42 -p-value of test : 0.82 +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 : 40 -Chi-square statistic : 44.08 -p-value of test : 0.30 +Chi-square statistic : 40.06 +p-value of test : 0.47 ----------------------------------------------- -CPU time used : 00:01:22.73 +CPU time used : 00:01:53.48 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.33 -p-value of test : 0.09 +Kolmogorov-Smirnov+ statistic = D+ : 5.31e-3 +p-value of test : 0.9944 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.64 +Kolmogorov-Smirnov- statistic = D- : 0.40 +p-value of test : 0.03 -Anderson-Darling statistic = A2 : 1.25 -p-value of test : 0.25 +Anderson-Darling statistic = A2 : 4.26 +p-value of test : 6.9e-3 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 33.20 -p-value of test : 0.77 +Chi-square statistic : 70.54 +p-value of test : 2.0e-3 ----------------------------------------------- -CPU time used : 00:01:23.06 +CPU time used : 00:01:53.07 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 5.73 -p-value of test : 0.13 +Chi-square statistic : 0.45 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:02:09.10 +CPU time used : 00:03:10.45 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 10.37 -p-value of test : 0.02 +Chi-square statistic : 0.17 +p-value of test : 0.98 ----------------------------------------------- -CPU time used : 00:02:09.02 +CPU time used : 00:03:10.38 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 1.04 -p-value of test : 0.59 +Chi-square statistic : 0.65 +p-value of test : 0.72 ----------------------------------------------- -CPU time used : 00:01:35.34 +CPU time used : 00:02:12.06 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.21 -p-value of test : 0.90 +Chi-square statistic : 7.57 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:01:17.57 +CPU time used : 00:01:47.65 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.33 -p-value of test : 0.10 - -Kolmogorov-Smirnov- statistic = D- : 0.093 +Kolmogorov-Smirnov+ statistic = D+ : 0.094 p-value of test : 0.79 -Anderson-Darling statistic = A2 : 1.13 -p-value of test : 0.29 +Kolmogorov-Smirnov- statistic = D- : 0.26 +p-value of test : 0.22 + +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 : 130 -Chi-square statistic : 120.36 -p-value of test : 0.72 +Chi-square statistic : 135.91 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:00:58.06 +CPU time used : 00:01:15.95 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.47 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.53 -Kolmogorov-Smirnov- statistic = D- : 0.19 -p-value of test : 0.45 +Kolmogorov-Smirnov- statistic = D- : 0.071 +p-value of test : 0.87 -Anderson-Darling statistic = A2 : 0.44 -p-value of test : 0.80 +Anderson-Darling statistic = A2 : 0.36 +p-value of test : 0.89 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17464.80 -p-value of test : 0.42 +Chi-square statistic :17333.14 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:01:52.17 +CPU time used : 00:02:02.70 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 : 35.67 -p-value of test : 0.48 +ChiSquare statistic : 41.55 +p-value of test : 0.24 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 32.14 -p-value of test : 0.61 +ChiSquare statistic : 35.78 +p-value of test : 0.43 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 28.28 -p-value of test : 0.30 +ChiSquare statistic : 32.97 +p-value of test : 0.13 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 26.69 -p-value of test : 0.32 +ChiSquare statistic : 20.98 +p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 14.26 -p-value of test : 0.65 +ChiSquare statistic : 15.15 +p-value of test : 0.58 ----------------------------------------------- -CPU time used : 00:00:46.64 +CPU time used : 00:01:02.75 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 : 33.31 -p-value of test : 0.60 +ChiSquare statistic : 43.73 +p-value of test : 0.18 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 33.59 -p-value of test : 0.54 +ChiSquare statistic : 46.08 +p-value of test : 0.10 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 24.19 -p-value of test : 0.51 +ChiSquare statistic : 38.53 +p-value of test : 0.04 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 25.15 -p-value of test : 0.40 +ChiSquare statistic : 23.24 +p-value of test : 0.51 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 11.21 -p-value of test : 0.85 +ChiSquare statistic : 23.78 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:00:46.79 +CPU time used : 00:01:03.68 Generator state: N/A @@ -2688,44 +2688,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 146 -ChiSquare statistic : 173.57 -p-value of test : 0.06 +ChiSquare statistic : 139.42 +p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 162.33 -p-value of test : 0.17 +ChiSquare statistic : 151.13 +p-value of test : 0.37 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 500.31 -p-value of test : 0.49 +ChiSquare statistic : 474.41 +p-value of test : 0.79 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 141.20 -p-value of test : 0.36 +ChiSquare statistic : 134.64 +p-value of test : 0.52 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 55.13 -p-value of test : 0.95 +ChiSquare statistic : 67.03 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:00:55.02 +CPU time used : 00:01:21.04 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 : 153.76 -p-value of test : 0.31 +ChiSquare statistic : 125.11 +p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 162.92 -p-value of test : 0.16 +ChiSquare statistic : 137.69 +p-value of test : 0.68 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 554.61 -p-value of test : 0.05 +ChiSquare statistic : 508.01 +p-value of test : 0.39 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 114.61 -p-value of test : 0.91 +ChiSquare statistic : 105.27 +p-value of test : 0.98 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 71.25 -p-value of test : 0.57 +ChiSquare statistic : 72.87 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:00:56.04 +CPU time used : 00:01:21.93 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 : 349.81 -p-value of test : 0.89 +ChiSquare statistic : 364.36 +p-value of test : 0.76 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 351.18 -p-value of test : 0.88 +ChiSquare statistic : 390.69 +p-value of test : 0.40 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4872.11 -p-value of test : 0.90 +ChiSquare statistic : 5047.28 +p-value of test : 0.32 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 387.05 -p-value of test : 0.36 +ChiSquare statistic : 345.71 +p-value of test : 0.88 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 218.17 -p-value of test : 0.18 +ChiSquare statistic : 223.47 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:00:46.26 +CPU time used : 00:01:08.00 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 : 393.09 -p-value of test : 0.36 +ChiSquare statistic : 386.36 +p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 419.42 -p-value of test : 0.10 +ChiSquare statistic : 429.51 +p-value of test : 0.05 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5053.80 -p-value of test : 0.29 +ChiSquare statistic : 5001.32 +p-value of test : 0.49 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 321.70 -p-value of test : 0.98 +ChiSquare statistic : 331.99 +p-value of test : 0.96 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 173.17 -p-value of test : 0.92 +ChiSquare statistic : 190.43 +p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:00:46.78 +CPU time used : 00:01:08.59 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 13.22 -p-value of test : 0.35 +Chi2 statistic for size of jumps : 15.20 +p-value of test : 0.23 ----------------------------------------------- -Normal statistic for number of jumps : -347.70 +Normal statistic for number of jumps : -347.11 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:19.43 +CPU time used : 00:00:26.83 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 14.75 -p-value of test : 0.26 +Chi2 statistic for size of jumps : 15.32 +p-value of test : 0.22 ----------------------------------------------- -Normal statistic for number of jumps : -347.91 +Normal statistic for number of jumps : -348.50 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:19.43 +CPU time used : 00:00:27.20 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 8.80e-3 -p-value of test : 0.9905 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.55 -Kolmogorov-Smirnov- statistic = D- : 0.39 -p-value of test : 0.03 +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.42 -Anderson-Darling statistic = A2 : 2.23 -p-value of test : 0.07 +Anderson-Darling statistic = A2 : 0.62 +p-value of test : 0.62 Tests on the sum of all N observations -Standardized normal statistic : 1.91 -p-value of test : 0.03 +Standardized normal statistic : -0.092 +p-value of test : 0.54 Sample variance : 1.43 p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:01:06.29 +CPU time used : 00:01:06.50 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.59 +Kolmogorov-Smirnov+ statistic = D+ : 0.24 +p-value of test : 0.29 -Kolmogorov-Smirnov- statistic = D- : 0.37 -p-value of test : 0.05 +Kolmogorov-Smirnov- statistic = D- : 0.32 +p-value of test : 0.10 -Anderson-Darling statistic = A2 : 1.54 -p-value of test : 0.17 +Anderson-Darling statistic = A2 : 1.34 +p-value of test : 0.22 Tests on the sum of all N observations -Standardized normal statistic : 0.77 -p-value of test : 0.22 +Standardized normal statistic : 0.51 +p-value of test : 0.30 -Sample variance : 1.50 -p-value of test : 0.14 +Sample variance : 0.19 +p-value of test : 0.9954 ----------------------------------------------- -CPU time used : 00:01:04.68 +CPU time used : 00:01:19.38 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 9.18e-3 -p-value of test : 0.50 +Kolmogorov-Smirnov+ statistic = D+ : 8.66e-3 +p-value of test : 0.54 -Kolmogorov-Smirnov- statistic = D- : 7.37e-3 -p-value of test : 0.64 +Kolmogorov-Smirnov- statistic = D- : 0.011 +p-value of test : 0.39 -Anderson-Darling statistic = A2 : 0.22 -p-value of test : 0.98 +Anderson-Darling statistic = A2 : 0.44 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:00:47.84 +CPU time used : 00:00:57.93 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.019 -p-value of test : 0.05 +Kolmogorov-Smirnov+ statistic = D+ : 0.015 +p-value of test : 0.14 -Kolmogorov-Smirnov- statistic = D- : 8.79e-3 -p-value of test : 0.53 +Kolmogorov-Smirnov- statistic = D- : 7.94e-3 +p-value of test : 0.59 -Anderson-Darling statistic = A2 : 1.51 -p-value of test : 0.17 +Anderson-Darling statistic = A2 : 1.11 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:00:47.09 +CPU time used : 00:00:56.54 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 8.08 -p-value of test : 0.43 +Chi-square statistic : 11.00 +p-value of test : 0.20 ----------------------------------------------- -Global longest run of 1 : 32.00 -p-value of test : 0.50 +Global longest run of 1 : 36.00 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:01:37.31 +CPU time used : 00:01:54.22 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 5.09 -p-value of test : 0.75 +Chi-square statistic : 7.42 +p-value of test : 0.49 ----------------------------------------------- -Global longest run of 1 : 32.00 -p-value of test : 0.50 +Global longest run of 1 : 33.00 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:01:41.32 +CPU time used : 00:01:57.54 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 0.16 +Kolmogorov-Smirnov+ statistic = D+ : 0.042 +p-value of test : 0.94 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.73 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.38 -Anderson-Darling statistic = A2 : 0.63 -p-value of test : 0.62 +Anderson-Darling statistic = A2 : 1.12 +p-value of test : 0.30 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 188.63 -p-value of test : 0.71 +Chi-square statistic : 229.63 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:02:39.73 +CPU time used : 00:03:28.34 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.28 -p-value of test : 0.18 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.56 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.68 +Kolmogorov-Smirnov- statistic = D- : 0.093 +p-value of test : 0.79 -Anderson-Darling statistic = A2 : 0.95 -p-value of test : 0.38 +Anderson-Darling statistic = A2 : 0.23 +p-value of test : 0.98 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 189.12 -p-value of test : 0.70 +Chi-square statistic : 198.65 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:02:43.56 +CPU time used : 00:03:31.02 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.64 +Kolmogorov-Smirnov+ statistic = D+ : 0.033 +p-value of test : 0.96 -Kolmogorov-Smirnov- statistic = D- : 0.25 -p-value of test : 0.23 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.41 -Anderson-Darling statistic = A2 : 0.89 -p-value of test : 0.42 +Anderson-Darling statistic = A2 : 0.68 +p-value of test : 0.57 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10098.41 -p-value of test : 0.24 +Chi-square statistic :10149.02 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:01:07.14 +CPU time used : 00:01:17.72 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.36 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.48 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.72 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.69 -Anderson-Darling statistic = A2 : 0.70 -p-value of test : 0.55 +Anderson-Darling statistic = A2 : 0.29 +p-value of test : 0.95 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9864.25 -p-value of test : 0.83 +Chi-square statistic :10012.07 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:01:09.73 +CPU time used : 00:01:20.31 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.29 -p-value of test : 0.61 +Normal statistic : 1.10 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:01:20.28 +CPU time used : 00:01:34.33 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.78 -p-value of test : 0.78 +Normal statistic : 0.65 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:01:18.87 +CPU time used : 00:01:28.91 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.96 -p-value of test : 0.17 +Normal statistic : -1.37 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:05:11.70 +CPU time used : 00:05:49.93 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.23 -p-value of test : 0.31 +Kolmogorov-Smirnov+ statistic = D+ : 0.099 +p-value of test : 0.77 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.49 +Kolmogorov-Smirnov- statistic = D- : 0.23 +p-value of test : 0.29 -Anderson-Darling statistic = A2 : 0.61 -p-value of test : 0.64 +Anderson-Darling statistic = A2 : 0.57 +p-value of test : 0.67 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4930.52 -p-value of test : 0.34 +Chi-square statistic : 4961.84 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:02:14.40 +CPU time used : 00:02:31.81 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.47 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.70 -Kolmogorov-Smirnov- statistic = D- : 0.061 -p-value of test : 0.90 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.37 -Anderson-Darling statistic = A2 : 0.35 -p-value of test : 0.89 +Anderson-Darling statistic = A2 : 0.44 +p-value of test : 0.80 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4830.96 -p-value of test : 0.72 +Chi-square statistic : 4914.04 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:02:18.60 +CPU time used : 00:02:36.29 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 : 4136.98 -p-value of test : 0.41 +Chi-square statistic : 3923.84 +p-value of test : 0.98 ----------------------------------------------- -CPU time used : 00:01:34.90 +CPU time used : 00:01:51.61 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 : 4129.07 -p-value of test : 0.44 +Chi-square statistic : 4234.12 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:01:37.67 +CPU time used : 00:01:55.40 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 :11802.32 -p-value of test : 0.56 +Chi-square statistic :12058.70 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:01:41.32 +CPU time used : 00:02:04.31 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 :11807.12 -p-value of te
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