http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/src/site/resources/txt/userguide/stress/tu/run_2/tu_5 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_2/tu_5 b/src/site/resources/txt/userguide/stress/tu/run_2/tu_5 index c20bdfb..6938f23 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_2/tu_5 +++ b/src/site/resources/txt/userguide/stress/tu/run_2/tu_5 @@ -1,12 +1,12 @@ # -# 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 # JVM: Java HotSpot(TM) 64-Bit Server VM 25.66-b17 # OS: Linux 3.16.0-4-amd64 amd64 # -# Analyzer: ../stdin2testu01 BigCrush +# Analyzer: ./stdin2testu01 BigCrush # xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting BigCrush @@ -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 : 0.70 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:02:32.37 +CPU time used : 00:02:23.37 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 : 0.59 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:02:21.55 +CPU time used : 00:02:41.56 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 : 1353 -p-value of test : 0.61 +Observed number of collisions : 1393 +p-value of test : 0.22 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334473 - j = 1 : 599997294 - j = 2 : 1353 + j = 0 : 131940795334513 + j = 1 : 599997214 + j = 2 : 1393 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:17.01 +CPU time used : 00:07:03.60 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 : 1364 -p-value of test : 0.50 +Observed number of collisions : 1341 +p-value of test : 0.73 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334484 - j = 1 : 599997272 - j = 2 : 1364 + j = 0 : 131940795334461 + j = 1 : 599997318 + j = 2 : 1341 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:48.47 +CPU time used : 00:06:36.27 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 : 1345 -p-value of test : 0.69 +Observed number of collisions : 1364 +p-value of test : 0.50 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334465 - j = 1 : 599997310 - j = 2 : 1345 + j = 0 : 131940795334484 + j = 1 : 599997272 + j = 2 : 1364 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:01.43 +CPU time used : 00:09:20.01 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 : 1355 -p-value of test : 0.59 +Observed number of collisions : 1336 +p-value of test : 0.77 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334475 - j = 1 : 599997290 - j = 2 : 1355 + j = 0 : 131940795334456 + j = 1 : 599997328 + j = 2 : 1336 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:26.09 +CPU time used : 00:10:39.96 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 : 1377 -p-value of test : 0.37 +Observed number of collisions : 1266 +p-value of test : 0.9963 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334497 - j = 1 : 599997246 - j = 2 : 1377 + j = 0 : 131940795334386 + j = 1 : 599997468 + j = 2 : 1266 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:59.78 +CPU time used : 00:09:33.19 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 : 1370 -p-value of test : 0.44 +Observed number of collisions : 1330 +p-value of test : 0.82 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334490 - j = 1 : 599997260 - j = 2 : 1370 + j = 0 : 131940795334450 + j = 1 : 599997340 + j = 2 : 1330 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:28.36 +CPU time used : 00:08:56.75 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 : 1484 -p-value of test : 7.2e-4 ***** +Observed number of collisions : 1342 +p-value of test : 0.72 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334604 - j = 1 : 599997032 - j = 2 : 1484 + j = 0 : 131940795334462 + j = 1 : 599997316 + j = 2 : 1342 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:34.30 +CPU time used : 00:09:48.55 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 : 1393 -p-value of test : 0.22 +Observed number of collisions : 1371 +p-value of test : 0.43 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334513 - j = 1 : 599997214 - j = 2 : 1393 + j = 0 : 131940795334491 + j = 1 : 599997258 + j = 2 : 1371 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:03.51 +CPU time used : 00:08:19.67 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 : 1379 -p-value of test : 0.35 +Observed number of collisions : 1310 +p-value of test : 0.93 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334499 - j = 1 : 599997242 - j = 2 : 1379 + j = 0 : 131940795334430 + j = 1 : 599997380 + j = 2 : 1310 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:52.69 +CPU time used : 00:10:15.68 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 : 1341 -p-value of test : 0.73 +Observed number of collisions : 1356 +p-value of test : 0.58 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334461 - j = 1 : 599997318 - j = 2 : 1341 + j = 0 : 131940795334476 + j = 1 : 599997288 + j = 2 : 1356 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:00.35 +CPU time used : 00:08:46.60 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5519 -p-value of test : 0.09 +Total observed number : 5408 +p-value of test : 0.57 ----------------------------------------------- -CPU time used : 00:05:15.31 +CPU time used : 00:05:40.47 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4281 -p-value of test : 0.80 +Total observed number : 4439 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:02:19.68 +CPU time used : 00:02:29.64 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7350 -p-value of test : 0.36 +Total observed number : 7282 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:03:58.72 +CPU time used : 00:04:14.14 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4319 -p-value of test : 0.60 +Total observed number : 4427 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:02:53.15 +CPU time used : 00:03:07.35 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4419 -p-value of test : 0.11 +Total observed number : 4360 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:02:56.89 +CPU time used : 00:03:20.39 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7242 -p-value of test : 0.81 +Total observed number : 7193 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:04:14.40 +CPU time used : 00:05:21.02 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7230 -p-value of test : 0.85 +Total observed number : 7212 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:04:08.22 +CPU time used : 00:05:22.97 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7355 -p-value of test : 0.34 +Total observed number : 7302 +p-value of test : 0.57 ----------------------------------------------- -CPU time used : 00:05:04.17 +CPU time used : 00:06:54.61 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7355 -p-value of test : 0.34 +Total observed number : 7363 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:05:29.88 +CPU time used : 00:07:41.20 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) : 0.46 -p-value of test : 0.79 +Stat. AD on the N values (NP) : 0.70 +p-value of test : 0.56 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) : 1.06 -p-value of test : 0.32 +A2 test on the values of A2 (m-NP) : 2.22 +p-value of test : 0.07 -Test on the Nm values of W_{n,i}(mNP1): 2.33 -p-value of test : 0.06 +Test on the Nm values of W_{n,i}(mNP1): 0.72 +p-value of test : 0.55 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 925 -p-value of test : 0.21 - -Stat. AD (mNP2) : 1.19 +Number of jumps of Y : 919 p-value of test : 0.27 -Stat. AD after spacings (mNP2-S) : 2.17 -p-value of test : 0.07 +Stat. AD (mNP2) : 2.05 +p-value of test : 0.09 + +Stat. AD after spacings (mNP2-S) : 1.52 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:03:15.23 +CPU time used : 00:04:28.53 Generator state: N/A @@ -935,34 +935,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.55 -p-value of test : 0.70 +Stat. AD on the N values (NP) : 0.70 +p-value of test : 0.55 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) : 0.96 -p-value of test : 0.38 +A2 test on the values of A2 (m-NP) : 0.86 +p-value of test : 0.44 -Test on the Nm values of W_{n,i}(mNP1): 0.57 -p-value of test : 0.68 +Test on the Nm values of W_{n,i}(mNP1): 0.73 +p-value of test : 0.54 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 610 -p-value of test : 0.35 +Number of jumps of Y : 578 +p-value of test : 0.81 -Stat. AD (mNP2) : 2.00 -p-value of test : 0.09 +Stat. AD (mNP2) : 0.79 +p-value of test : 0.49 -Stat. AD after spacings (mNP2-S) : 5.47 -p-value of test : 1.7e-3 +Stat. AD after spacings (mNP2-S) : 0.29 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:02:08.23 +CPU time used : 00:03:08.54 Generator state: N/A @@ -983,34 +983,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 1.03 -p-value of test : 0.34 +Stat. AD on the N values (NP) : 4.42 +p-value of test : 5.7e-3 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) : 1.32 -p-value of test : 0.23 +A2 test on the values of A2 (m-NP) : 1.05 +p-value of test : 0.33 -Test on the Nm values of W_{n,i}(mNP1): 1.11 -p-value of test : 0.31 +Test on the Nm values of W_{n,i}(mNP1): 0.80 +p-value of test : 0.48 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 310 -p-value of test : 0.29 +Number of jumps of Y : 328 +p-value of test : 0.06 -Stat. AD (mNP2) : 0.73 -p-value of test : 0.53 +Stat. AD (mNP2) : 1.20 +p-value of test : 0.27 -Stat. AD after spacings (mNP2-S) : 0.88 -p-value of test : 0.43 +Stat. AD after spacings (mNP2-S) : 1.29 +p-value of test : 0.24 ----------------------------------------------- -CPU time used : 00:03:06.76 +CPU time used : 00:04:07.79 Generator state: N/A @@ -1031,34 +1031,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 1.68 -p-value of test : 0.14 +Stat. AD on the N values (NP) : 0.41 +p-value of test : 0.84 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 0.57 -p-value of test : 0.66 +A2 test on the values of A2 (m-NP) : 0.77 +p-value of test : 0.50 -Test on the Nm values of W_{n,i}(mNP1): 0.35 -p-value of test : 0.89 +Test on the Nm values of W_{n,i}(mNP1): 0.50 +p-value of test : 0.74 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 142 -p-value of test : 0.73 +Number of jumps of Y : 153 +p-value of test : 0.41 -Stat. AD (mNP2) : 0.75 -p-value of test : 0.52 +Stat. AD (mNP2) : 1.31 +p-value of test : 0.23 -Stat. AD after spacings (mNP2-S) : 0.91 -p-value of test : 0.41 +Stat. AD after spacings (mNP2-S) : 0.41 +p-value of test : 0.84 ----------------------------------------------- -CPU time used : 00:03:21.51 +CPU time used : 00:04:32.80 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 4.27 -p-value of test : 0.75 +Chi-square statistic : 6.40 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:01:16.86 +CPU time used : 00:01:41.67 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 13.77 -p-value of test : 0.06 +Chi-square statistic : 12.46 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:01:26.05 +CPU time used : 00:01:59.46 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 19.41 +Chi-square statistic : 19.30 p-value of test : 0.37 ----------------------------------------------- -CPU time used : 00:01:17.07 +CPU time used : 00:01:38.70 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 16.93 -p-value of test : 0.53 +Chi-square statistic : 21.46 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:01:27.81 +CPU time used : 00:01:57.30 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 56.07 -p-value of test : 0.40 +Chi-square statistic : 63.35 +p-value of test : 0.18 ----------------------------------------------- -CPU time used : 00:01:33.60 +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 : 33.64 -p-value of test : 0.99 +Chi-square statistic : 47.67 +p-value of test : 0.72 ----------------------------------------------- -CPU time used : 00:01:55.60 +CPU time used : 00:02:29.22 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 43.91 -p-value of test : 0.83 +Chi-square statistic : 50.46 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:01:54.26 +CPU time used : 00:02:26.45 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 55.73 -p-value of test : 0.41 +Chi-square statistic : 66.34 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:01:54.06 +CPU time used : 00:02:22.79 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 238.61 -p-value of test : 0.37 +Chi-square statistic : 199.90 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:02:04.06 +CPU time used : 00:02:39.23 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 434.17 -p-value of test : 0.49 +Chi-square statistic : 409.06 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:03:02.25 +CPU time used : 00:03:53.55 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1535.35 -p-value of test : 0.04 +Chi-square statistic : 1489.20 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:03:04.45 +CPU time used : 00:04:01.31 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7149.34 -p-value of test : 0.19 +Chi-square statistic : 7044.61 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:03:05.45 +CPU time used : 00:04:04.29 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.34 -p-value of test : 0.26 +Kolmogorov-Smirnov+ statistic = D+ : 0.095 +p-value of test : 0.86 -Kolmogorov-Smirnov- statistic = D- : 0.36 -p-value of test : 0.22 +Kolmogorov-Smirnov- statistic = D- : 0.39 +p-value of test : 0.17 -Anderson-Darling statistic = A2 : 0.82 -p-value of test : 0.46 +Anderson-Darling statistic = A2 : 1.08 +p-value of test : 0.31 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 27.59 -p-value of test : 0.59 +Chi-square statistic : 37.19 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:01:46.05 +CPU time used : 00:02:02.59 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.23 -p-value of test : 0.29 +Kolmogorov-Smirnov+ statistic = D+ : 0.30 +p-value of test : 0.14 -Kolmogorov-Smirnov- statistic = D- : 0.025 -p-value of test : 0.97 +Kolmogorov-Smirnov- statistic = D- : 0.013 +p-value of test : 0.99 -Anderson-Darling statistic = A2 : 0.91 -p-value of test : 0.41 +Anderson-Darling statistic = A2 : 1.74 +p-value of test : 0.13 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 46.36 -p-value of test : 0.90 +Chi-square statistic : 41.68 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:04:04.62 +CPU time used : 00:04:56.40 Generator state: N/A @@ -1450,12 +1450,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5 -Value of the statistic : 4.62 -p-value of test : 0.46 +Value of the statistic : 3.34 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:01:09.23 +CPU time used : 00:01:32.11 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 : 148.74 -p-value of test : 0.03 +Value of the statistic : 121.99 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:02:01.84 +CPU time used : 00:02:35.72 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 : 4987.66 -p-value of test : 0.69 +Value of the statistic : 5057.36 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:01:27.05 +CPU time used : 00:01:57.97 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 : 0.40 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:03:11.06 +CPU time used : 00:03:48.51 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 : 45473 -p-value of test : 0.97 +Observed number of collisions : 46184 +p-value of test : 0.08 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869473 - j = 1 : 399909057 - j = 2 : 45467 + j = 0 : 1743165870184 + j = 1 : 399907635 + j = 2 : 46178 j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:23.40 +CPU time used : 00:05:20.69 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 : 45876 -p-value of test : 0.51 +Observed number of collisions : 46062 +p-value of test : 0.20 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869876 - j = 1 : 399908251 - j = 2 : 45870 - j = 3 : 3 + j = 0 : 1743165870062 + j = 1 : 399907877 + j = 2 : 46060 + j = 3 : 1 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:47.77 +CPU time used : 00:05:48.57 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.10 -p-value of test : 0.41 +Kolmogorov-Smirnov+ statistic = D+ : 0.069 +p-value of test : 0.65 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.21 +Kolmogorov-Smirnov- statistic = D- : 0.094 +p-value of test : 0.46 -Anderson-Darling statistic = A2 : 1.14 -p-value of test : 0.29 +Anderson-Darling statistic = A2 : 0.43 +p-value of test : 0.82 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.45 +p-value of test : 0.40 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.080 -p-value of test : 0.57 +Kolmogorov-Smirnov+ statistic = D+ : 0.071 +p-value of test : 0.64 -Kolmogorov-Smirnov- statistic = D- : 0.047 -p-value of test : 0.82 +Kolmogorov-Smirnov- statistic = D- : 0.048 +p-value of test : 0.80 -Anderson-Darling statistic = A2 : 0.32 -p-value of test : 0.92 +Anderson-Darling statistic = A2 : 0.23 +p-value of test : 0.98 ----------------------------------------------- -CPU time used : 00:03:17.51 +CPU time used : 00:04:16.90 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.24 -p-value of test : 0.03 +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.08 -Kolmogorov-Smirnov- statistic = D- : 0.047 -p-value of test : 0.85 +Kolmogorov-Smirnov- statistic = D- : 0.057 +p-value of test : 0.79 -Anderson-Darling statistic = A2 : 1.56 -p-value of test : 0.16 +Anderson-Darling statistic = A2 : 1.79 +p-value of test : 0.12 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.90 +p-value of test : 0.93 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.46 +Kolmogorov-Smirnov+ statistic = D+ : 0.036 +p-value of test : 0.90 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.19 +Kolmogorov-Smirnov- statistic = D- : 0.26 +p-value of test : 0.01 -Anderson-Darling statistic = A2 : 1.02 -p-value of test : 0.34 +Anderson-Darling statistic = A2 : 3.79 +p-value of test : 0.01 ----------------------------------------------- -CPU time used : 00:03:06.45 +CPU time used : 00:04:03.40 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 : 0.44 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.48 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.30 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.41 -Anderson-Darling statistic = A2 : 0.69 -p-value of test : 0.56 +Anderson-Darling statistic = A2 : 1.16 +p-value of test : 0.28 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.59 +p-value of test : 0.43 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.25 -p-value of test : 0.07 +Kolmogorov-Smirnov+ statistic = D+ : 0.080 +p-value of test : 0.74 -Kolmogorov-Smirnov- statistic = D- : 0.045 -p-value of test : 0.90 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.49 -Anderson-Darling statistic = A2 : 1.33 -p-value of test : 0.22 +Anderson-Darling statistic = A2 : 0.57 +p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:02:28.51 +CPU time used : 00:03:11.40 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.054 -p-value of test : 0.86 +Kolmogorov-Smirnov+ statistic = D+ : 0.064 +p-value of test : 0.82 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.38 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.29 -Anderson-Darling statistic = A2 : 0.81 -p-value of test : 0.47 +Anderson-Darling statistic = A2 : 0.96 +p-value of test : 0.38 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.12 +p-value of test : 0.10 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.046 -p-value of test : 0.89 +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.17 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.38 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.45 -Anderson-Darling statistic = A2 : 0.49 -p-value of test : 0.76 +Anderson-Darling statistic = A2 : 1.22 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:02:55.25 +CPU time used : 00:03:37.60 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.097 -p-value of test : 0.44 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.27 -Kolmogorov-Smirnov- statistic = D- : 0.095 -p-value of test : 0.45 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.38 -Anderson-Darling statistic = A2 : 0.52 -p-value of test : 0.72 +Anderson-Darling statistic = A2 : 0.73 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:02:25.21 +CPU time used : 00:03:06.29 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.38 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.58 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.17 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.26 -Anderson-Darling statistic = A2 : 1.36 -p-value of test : 0.21 +Anderson-Darling statistic = A2 : 0.79 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:01:46.29 +CPU time used : 00:02:09.94 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.43 +Kolmogorov-Smirnov+ statistic = D+ : 0.069 +p-value of test : 0.79 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.36 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.27 -Anderson-Darling statistic = A2 : 0.61 -p-value of test : 0.63 +Anderson-Darling statistic = A2 : 0.60 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:02:14.47 +CPU time used : 00:02:48.95 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 6.33e-5 -p-value of test : 0.85 +Kolmogorov-Smirnov+ statistic = D+ : 7.70e-5 +p-value of test : 0.79 -Kolmogorov-Smirnov- statistic = D- : 1.14e-4 -p-value of test : 0.59 +Kolmogorov-Smirnov- statistic = D- : 1.38e-4 +p-value of test : 0.47 -Anderson-Darling statistic = A2 : 0.37 -p-value of test : 0.88 +Anderson-Darling statistic = A2 : 0.27 +p-value of test : 0.96 ----------------------------------------------- -CPU time used : 00:00:31.76 +CPU time used : 00:00:42.38 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 2.17e-4 -p-value of test : 0.15 +Kolmogorov-Smirnov+ statistic = D+ : 2.01e-4 +p-value of test : 0.20 -Kolmogorov-Smirnov- statistic = D- : 7.27e-5 -p-value of test : 0.81 +Kolmogorov-Smirnov- statistic = D- : 3.24e-5 +p-value of test : 0.96 -Anderson-Darling statistic = A2 : 1.45 -p-value of test : 0.19 +Anderson-Darling statistic = A2 : 1.35 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:00:33.70 +CPU time used : 00:00:44.69 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -1.52 +Normal statistic : -1.54 p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:00:31.15 +CPU time used : 00:00:43.93 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.13 -p-value of test : 0.45 +Normal statistic : -0.40 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:00:33.48 +CPU time used : 00:00:44.04 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -0.44 -p-value of test : 0.67 +Normal statistic : 1.52 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:01:59.17 +CPU time used : 00:02:28.37 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 0.12 -p-value of test : 0.45 +Normal statistic : -1.01 +p-value of test : 0.84 ----------------------------------------------- -CPU time used : 00:02:01.01 +CPU time used : 00:02:34.70 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 61.44 -p-value of test : 0.67 +Chi-square statistic : 65.62 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:01:20.75 +CPU time used : 00:01:43.78 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 74.42 -p-value of test : 0.25 +Chi-square statistic : 70.07 +p-value of test : 0.38 ----------------------------------------------- -CPU time used : 00:01:39.28 +CPU time used : 00:02:08.29 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 51.46 +Chi-square statistic : 51.37 p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:01:38.06 +CPU time used : 00:02:10.12 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 38.22 -p-value of test : 0.41 +Chi-square statistic : 33.14 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:01:15.70 +CPU time used : 00:01:42.87 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 30.61 -p-value of test : 0.76 +Chi-square statistic : 33.33 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:01:36.87 +CPU time used : 00:02:07.88 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 56.40 -p-value of test : 0.02 +Chi-square statistic : 31.53 +p-value of test : 0.72 ----------------------------------------------- -CPU time used : 00:01:36.04 +CPU time used : 00:02:08.96 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 45.13 -p-value of test : 0.03 +Chi-square statistic : 25.93 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:02:39.21 +CPU time used : 00:03:21.50 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.70 +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.38 -Kolmogorov-Smirnov- statistic = D- : 0.19 -p-value of test : 0.41 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.68 -Anderson-Darling statistic = A2 : 0.44 -p-value of test : 0.80 +Anderson-Darling statistic = A2 : 0.59 +p-value of test : 0.65 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 40.78 -p-value of test : 0.44 +Chi-square statistic : 31.74 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:01:29.17 +CPU time used : 00:01:52.39 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.28 -p-value of test : 0.17 +Kolmogorov-Smirnov+ statistic = D+ : 4.03e-3 +p-value of test : 0.9958 -Kolmogorov-Smirnov- statistic = D- : 0.24 -p-value of test : 0.29 +Kolmogorov-Smirnov- statistic = D- : 0.35 +p-value of test : 0.07 -Anderson-Darling statistic = A2 : 1.26 -p-value of test : 0.25 +Anderson-Darling statistic = A2 : 1.76 +p-value of test : 0.13 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 35.06 -p-value of test : 0.69 +Chi-square statistic : 59.50 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:01:23.98 +CPU time used : 00:01:52.48 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 0.95 -p-value of test : 0.81 +Chi-square statistic : 6.34 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:02:12.39 +CPU time used : 00:03:08.82 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 5.84 -p-value of test : 0.12 +Chi-square statistic : 2.33 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:02:23.53 +CPU time used : 00:03:08.14 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.059 -p-value of test : 0.97 +Chi-square statistic : 0.010 +p-value of test : 0.9949 ----------------------------------------------- -CPU time used : 00:01:33.12 +CPU time used : 00:02:10.97 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 1.77 -p-value of test : 0.41 +Chi-square statistic : 0.19 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:01:17.48 +CPU time used : 00:01:49.20 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.32 +Kolmogorov-Smirnov+ statistic = D+ : 0.24 +p-value of test : 0.28 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.69 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.60 -Anderson-Darling statistic = A2 : 0.71 -p-value of test : 0.54 +Anderson-Darling statistic = A2 : 0.52 +p-value of test : 0.72 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 115.28 -p-value of test : 0.82 +Chi-square statistic : 121.22 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:00:59.50 +CPU time used : 00:01:14.86 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.087 -p-value of test : 0.82 +Kolmogorov-Smirnov+ statistic = D+ : 0.36 +p-value of test : 0.06 -Kolmogorov-Smirnov- statistic = D- : 0.32 -p-value of test : 0.10 +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.44 -Anderson-Darling statistic = A2 : 1.63 -p-value of test : 0.15 +Anderson-Darling statistic = A2 : 1.27 +p-value of test : 0.24 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17705.02 -p-value of test : 0.07 +Chi-square statistic :17288.07 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:01:53.35 +CPU time used : 00:02:02.34 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 : 42.84 -p-value of test : 0.20 +ChiSquare statistic : 43.36 +p-value of test : 0.19 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 32.37 -p-value of test : 0.60 +ChiSquare statistic : 42.56 +p-value of test : 0.18 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 16.73 -p-value of test : 0.89 +ChiSquare statistic : 16.20 +p-value of test : 0.91 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 19.68 -p-value of test : 0.72 +ChiSquare statistic : 18.87 +p-value of test : 0.76 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 20.33 -p-value of test : 0.26 +ChiSquare statistic : 12.06 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:00:49.78 +CPU time used : 00:01:02.36 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 : 40.80 -p-value of test : 0.27 +ChiSquare statistic : 41.27 +p-value of test : 0.25 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 25.02 -p-value of test : 0.89 +ChiSquare statistic : 35.14 +p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 24.59 -p-value of test : 0.49 +ChiSquare statistic : 23.32 +p-value of test : 0.56 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 24.23 -p-value of test : 0.45 +ChiSquare statistic : 25.65 +p-value of test : 0.37 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 12.67 -p-value of test : 0.76 +ChiSquare statistic : 24.80 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:00:51.87 +CPU time used : 00:01:03.54 Generator state: N/A @@ -2688,31 +2688,31 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 146 -ChiSquare statistic : 163.36 -p-value of test : 0.15 +ChiSquare statistic : 138.62 +p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 139.90 -p-value of test : 0.63 +ChiSquare statistic : 145.81 +p-value of test : 0.49 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 513.73 -p-value of test : 0.33 +ChiSquare statistic : 545.08 +p-value of test : 0.08 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 124.83 +ChiSquare statistic : 125.14 p-value of test : 0.74 @@ -2720,12 +2720,12 @@ p-value of test : 0.74 Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 65.28 -p-value of test : 0.76 +ChiSquare statistic : 76.87 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:01:01.62 +CPU time used : 00:01:20.34 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 : 144.59 -p-value of test : 0.52 +ChiSquare statistic : 140.18 +p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 162.54 -p-value of test : 0.17 +ChiSquare statistic : 158.65 +p-value of test : 0.22 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 477.91 -p-value of test : 0.75 +ChiSquare statistic : 505.19 +p-value of test : 0.43 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 141.41 -p-value of test : 0.36 +ChiSquare statistic : 120.36 +p-value of test : 0.83 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 54.13 -p-value of test : 0.96 +ChiSquare statistic : 73.96 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:00:57.15 +CPU time used : 00:01:20.72 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 : 365.51 -p-value of test : 0.74 +ChiSquare statistic : 419.48 +p-value of test : 0.10 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 380.09 -p-value of test : 0.55 +ChiSquare statistic : 366.09 +p-value of test : 0.74 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4942.23 -p-value of test : 0.72 +ChiSquare statistic : 5056.71 +p-value of test : 0.28 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 375.51 -p-value of test : 0.53 +ChiSquare statistic : 380.71 +p-value of test : 0.45 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 177.70 -p-value of test : 0.87 +ChiSquare statistic : 238.54 +p-value of test : 0.03 ----------------------------------------------- -CPU time used : 00:00:47.12 +CPU time used : 00:01:06.81 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 : 370.83 -p-value of test : 0.68 +ChiSquare statistic : 371.54 +p-value of test : 0.67 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 382.60 -p-value of test : 0.51 +ChiSquare statistic : 383.16 +p-value of test : 0.50 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5132.18 -p-value of test : 0.09 +ChiSquare statistic : 5138.12 +p-value of test : 0.08 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 404.30 -p-value of test : 0.17 +ChiSquare statistic : 363.84 +p-value of test : 0.69 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 215.64 -p-value of test : 0.21 +ChiSquare statistic : 202.53 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:00:47.40 +CPU time used : 00:01:07.65 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 3.90 -p-value of test : 0.99 +Chi2 statistic for size of jumps : 9.56 +p-value of test : 0.65 ----------------------------------------------- -Normal statistic for number of jumps : -402.59 +Normal statistic for number of jumps : -402.79 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:07.81 +CPU time used : 00:00:12.08 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 5.17 -p-value of test : 0.95 +Chi2 statistic for size of jumps : 8.51 +p-value of test : 0.74 ----------------------------------------------- -Normal statistic for number of jumps : -402.82 +Normal statistic for number of jumps : -402.79 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:07.87 +CPU time used : 00:00:11.72 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.095 -p-value of test : 0.78 +Kolmogorov-Smirnov+ statistic = D+ : 0.37 +p-value of test : 0.05 -Kolmogorov-Smirnov- statistic = D- : 0.23 -p-value of test : 0.31 +Kolmogorov-Smirnov- statistic = D- : 0.020 +p-value of test : 0.98 -Anderson-Darling statistic = A2 : 0.77 -p-value of test : 0.50 +Anderson-Darling statistic = A2 : 3.12 +p-value of test : 0.02 Tests on the sum of all N observations -Standardized normal statistic : 0.59 -p-value of test : 0.28 +Standardized normal statistic : -2.36 +p-value of test : 0.9908 -Sample variance : 1.66 -p-value of test : 0.09 +Sample variance : 0.85 +p-value of test : 0.57 ----------------------------------------------- -CPU time used : 00:00:55.77 +CPU time used : 00:01:04.90 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 0.16 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.64 -Kolmogorov-Smirnov- statistic = D- : 0.087 -p-value of test : 0.81 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.49 -Anderson-Darling statistic = A2 : 0.97 -p-value of test : 0.37 +Anderson-Darling statistic = A2 : 0.44 +p-value of test : 0.81 Tests on the sum of all N observations -Standardized normal statistic : -0.96 -p-value of test : 0.83 +Standardized normal statistic : 0.52 +p-value of test : 0.30 -Sample variance : 0.46 -p-value of test : 0.90 +Sample variance : 1.40 +p-value of test : 0.18 ----------------------------------------------- -CPU time used : 00:00:58.00 +CPU time used : 00:01:13.40 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.014 -p-value of test : 0.20 +Kolmogorov-Smirnov+ statistic = D+ : 1.82e-3 +p-value of test : 0.97 -Kolmogorov-Smirnov- statistic = D- : 8.15e-3 -p-value of test : 0.58 +Kolmogorov-Smirnov- statistic = D- : 0.015 +p-value of test : 0.17 -Anderson-Darling statistic = A2 : 0.79 -p-value of test : 0.49 +Anderson-Darling statistic = A2 : 1.73 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:00:47.45 +CPU time used : 00:00:56.83 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 9.77e-3 -p-value of test : 0.45 +Kolmogorov-Smirnov+ statistic = D+ : 0.010 +p-value of test : 0.41 -Kolmogorov-Smirnov- statistic = D- : 0.012 -p-value of test : 0.32 +Kolmogorov-Smirnov- statistic = D- : 3.81e-3 +p-value of test : 0.89 -Anderson-Darling statistic = A2 : 0.56 -p-value of test : 0.69 +Anderson-Darling statistic = A2 : 0.77 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:00:47.23 +CPU time used : 00:00:55.86 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 9.59 -p-value of test : 0.30 +Chi-square statistic : 7.60 +p-value of test : 0.47 ----------------------------------------------- -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 : 00:01:40.79 +CPU time used : 00:01:55.25 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 4.23 -p-value of test : 0.84 +Chi-square statistic : 11.68 +p-value of test : 0.17 ----------------------------------------------- -Global longest run of 1 : 33.00 -p-value of test : 0.44 +Global longest run of 1 : 36.00 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:01:41.44 +CPU time used : 00:01:57.20 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.44 - -Kolmogorov-Smirnov- statistic = D- : 0.14 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 p-value of test : 0.61 -Anderson-Darling statistic = A2 : 0.43 -p-value of test : 0.82 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.49 + +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 : 200 -Chi-square statistic : 191.72 -p-value of test : 0.65 +Chi-square statistic : 196.96 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:02:47.20 +CPU time used : 00:03:26.54 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.64 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.44 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.49 +Kolmogorov-Smirnov- statistic = D- : 0.042 +p-value of test : 0.94 -Anderson-Darling statistic = A2 : 0.44 -p-value of test : 0.81 +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 : 200 -Chi-square statistic : 197.56 -p-value of test : 0.54 +Chi-square statistic : 180.82 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:02:44.50 +CPU time used : 00:03:32.29 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.45 -p-value of test : 0.01 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.37 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.56 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.38 -Anderson-Darling statistic = A2 : 2.10 -p-value of test : 0.08 +Anderson-Darling statistic = A2 : 0.70 +p-value of test : 0.56 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9852.49 -p-value of test : 0.85 +Chi-square statistic : 9921.58 +p-value of test : 0.71 ----------------------------------------------- -CPU time used : 00:01:05.54 +CPU time used : 00:01:21.45 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.35 +Kolmogorov-Smirnov+ statistic = D+ : 0.25 +p-value of test : 0.25 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.39 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.75 -Anderson-Darling statistic = A2 : 0.93 -p-value of test : 0.39 +Anderson-Darling statistic = A2 : 0.79 +p-value of test : 0.48 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9916.86 +Chi-square statistic : 9918.93 p-value of test : 0.72 ----------------------------------------------- -CPU time used : 00:01:09.69 +CPU time used : 00:01:23.29 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 1.27 -p-value of test : 0.10 +Normal statistic : 1.50 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:01:20.37 +CPU time used : 00:01:32.95 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -1.03 -p-value of test : 0.85 +Normal statistic : 1.45 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:01:17.84 +CPU time used : 00:01:27.72 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -1.91 -p-value of test : 0.97 +Normal statistic : -0.30 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:05:08.48 +CPU time used : 00:05:46.99 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.046 -p-value of test : 0.93 +Kolmogorov-Smirnov+ statistic = D+ : 0.35 +p-value of test : 0.07 -Kolmogorov-Smirnov- statistic = D- : 0.46 -p-value of test : 0.01 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.62 -Anderson-Darling statistic = A2 : 2.41 -p-value of test : 0.06 +Anderson-Darling statistic = A2 : 1.78 +p-value of test : 0.12 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 5070.55 -p-value of test : 0.04 +Chi-square statistic : 4801.11 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:02:08.96 +CPU time used : 00:02:31.09 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.072 -p-value of test : 0.87 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.69 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.46 +Kolmogorov-Smirnov- statistic = D- : 0.45 +p-value of test : 0.01 -Anderson-Darling statistic = A2 : 0.46 -p-value of test : 0.78 +Anderson-Darling statistic = A2 : 2.50 +p-value of test : 0.05 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4952.53 -p-value of test : 0.26 +Chi-square statistic : 5036.87 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:02:14.92 +CPU time used : 00:02:35.43 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 : 4144.23 -p-value of test : 0.38 +Chi-square statistic : 4019.46 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:01:37.13 +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 : 4151.51 -p-value of test : 0.35 +Chi-square statistic : 4086.15 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:01:38.85 +CPU time used : 00:01:55.52 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 :11684.02 -p-value of test : 0.82 +Chi-square statistic :11765.48 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:01:46.90 +CPU time used : 00:02:02.70 Generator state: N/A @@ -3549,11 +3549,11 @@ sstring_HammingIndep test: Counters w
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