http://git-wip-us.apache.org/repos/asf/commons-rng/blob/a61e17b9/src/site/resources/txt/userguide/stress/tu/run_2/tu_9 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_2/tu_9 b/src/site/resources/txt/userguide/stress/tu/run_2/tu_9 index b487e00..52cd80a 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_2/tu_9 +++ b/src/site/resources/txt/userguide/stress/tu/run_2/tu_9 @@ -1,9 +1,9 @@ # -# RNG: org.apache.commons.rng.internal.source32.ISAACRandom +# RNG: org.apache.commons.rng.core.source32.ISAACRandom # -# Java: 1.8.0_66 -# Runtime: 1.8.0_66-b17 -# JVM: Java HotSpot(TM) 64-Bit Server VM 25.66-b17 +# Java: 1.8.0_111 +# Runtime: 1.8.0_111-b14 +# JVM: Java HotSpot(TM) 64-Bit Server VM 25.111-b14 # OS: Linux 3.16.0-4-amd64 amd64 # # Analyzer: ./stdin2testu01 BigCrush @@ -46,7 +46,7 @@ p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:02:30.19 +CPU time used : 00:02:33.05 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 : 0.08 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:02:37.87 +CPU time used : 00:02:31.41 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 : 1455 -p-value of test : 7.7e-3 +Observed number of collisions : 1332 +p-value of test : 0.80 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334575 - j = 1 : 599997090 - j = 2 : 1455 + j = 0 : 131940795334452 + j = 1 : 599997336 + j = 2 : 1332 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:52.17 +CPU time used : 00:05:10.46 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 : 1386 -p-value of test : 0.28 +Observed number of collisions : 1347 +p-value of test : 0.67 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334506 - j = 1 : 599997228 - j = 2 : 1386 + j = 0 : 131940795334467 + j = 1 : 599997306 + j = 2 : 1347 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:11.37 +CPU time used : 00:06:43.96 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 : 1386 -p-value of test : 0.28 +Observed number of collisions : 1353 +p-value of test : 0.61 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334506 - j = 1 : 599997228 - j = 2 : 1386 + j = 0 : 131940795334473 + j = 1 : 599997294 + j = 2 : 1353 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:28.22 +CPU time used : 00:09:36.91 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 : 1393 -p-value of test : 0.22 +Observed number of collisions : 1406 +p-value of test : 0.13 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334513 - j = 1 : 599997214 - j = 2 : 1393 + j = 0 : 131940795334526 + j = 1 : 599997188 + j = 2 : 1406 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:27.26 +CPU time used : 00:09:52.44 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 : 1395 -p-value of test : 0.21 +Observed number of collisions : 1342 +p-value of test : 0.72 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334515 - j = 1 : 599997210 - j = 2 : 1395 + j = 0 : 131940795334462 + j = 1 : 599997316 + j = 2 : 1342 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:10:48.57 +CPU time used : 00:09:46.15 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 : 1367 -p-value of test : 0.47 +Observed number of collisions : 1407 +p-value of test : 0.13 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334487 - j = 1 : 599997266 - j = 2 : 1367 + j = 0 : 131940795334527 + j = 1 : 599997186 + j = 2 : 1407 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:46.03 +CPU time used : 00:09:35.30 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 : 1388 -p-value of test : 0.26 +Observed number of collisions : 1352 +p-value of test : 0.62 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334508 - j = 1 : 599997224 - j = 2 : 1388 + j = 0 : 131940795334472 + j = 1 : 599997296 + j = 2 : 1352 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:10:33.01 +CPU time used : 00:09:54.78 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 : 1343 -p-value of test : 0.71 +Observed number of collisions : 1273 +p-value of test : 0.9934 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334463 - j = 1 : 599997314 - j = 2 : 1343 + j = 0 : 131940795334393 + j = 1 : 599997454 + j = 2 : 1273 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:07.69 +CPU time used : 00:10:23.89 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 : 1386 -p-value of test : 0.28 +Observed number of collisions : 1260 +p-value of test : 0.9977 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334506 - j = 1 : 599997228 - j = 2 : 1386 + j = 0 : 131940795334380 + j = 1 : 599997480 + j = 2 : 1260 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:39.00 +CPU time used : 00:09:45.85 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 : 1381 -p-value of test : 0.33 +Observed number of collisions : 1348 +p-value of test : 0.66 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334501 - j = 1 : 599997238 - j = 2 : 1381 + j = 0 : 131940795334468 + j = 1 : 599997304 + j = 2 : 1348 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:31.40 +CPU time used : 00:09:46.07 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5508 -p-value of test : 0.12 +Total observed number : 5469 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:05:39.72 +CPU time used : 00:05:29.85 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4359 -p-value of test : 0.37 +Total observed number : 4404 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:02:31.36 +CPU time used : 00:02:25.05 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7294 -p-value of test : 0.61 +Total observed number : 7252 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:04:16.46 +CPU time used : 00:04:08.60 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4397 -p-value of test : 0.18 +Total observed number : 4382 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:03:07.55 +CPU time used : 00:03:03.81 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4382 -p-value of test : 0.25 +Total observed number : 4409 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:03:21.73 +CPU time used : 00:03:18.10 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7398 -p-value of test : 0.18 +Total observed number : 7320 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:05:21.06 +CPU time used : 00:05:17.60 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7265 -p-value of test : 0.73 +Total observed number : 7420 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:05:21.92 +CPU time used : 00:05:17.14 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7390 -p-value of test : 0.20 +Total observed number : 7372 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:06:56.72 +CPU time used : 00:06:51.10 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7195 -p-value of test : 0.92 +Total observed number : 7272 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:07:39.63 +CPU time used : 00:07:34.13 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) : 0.53 -p-value of test : 0.71 +Stat. AD on the N values (NP) : 0.54 +p-value of test : 0.70 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) : 0.51 -p-value of test : 0.73 +A2 test on the values of A2 (m-NP) : 1.97 +p-value of test : 0.10 -Test on the Nm values of W_{n,i}(mNP1): 0.38 -p-value of test : 0.87 +Test on the Nm values of W_{n,i}(mNP1): 1.13 +p-value of test : 0.30 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 922 -p-value of test : 0.24 +Number of jumps of Y : 860 +p-value of test : 0.91 -Stat. AD (mNP2) : 0.72 -p-value of test : 0.55 +Stat. AD (mNP2) : 0.45 +p-value of test : 0.80 -Stat. AD after spacings (mNP2-S) : 1.54 -p-value of test : 0.17 +Stat. AD after spacings (mNP2-S) : 0.95 +p-value of test : 0.38 ----------------------------------------------- -CPU time used : 00:04:30.55 +CPU time used : 00:04:38.13 Generator state: N/A @@ -935,34 +935,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 1.83 -p-value of test : 0.11 +Stat. AD on the N values (NP) : 1.95 +p-value of test : 0.10 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) : 0.65 -p-value of test : 0.60 +A2 test on the values of A2 (m-NP) : 2.24 +p-value of test : 0.07 -Test on the Nm values of W_{n,i}(mNP1): 0.65 -p-value of test : 0.60 +Test on the Nm values of W_{n,i}(mNP1): 2.15 +p-value of test : 0.08 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 592 -p-value of test : 0.62 +Number of jumps of Y : 568 +p-value of test : 0.90 -Stat. AD (mNP2) : 1.30 -p-value of test : 0.23 +Stat. AD (mNP2) : 0.64 +p-value of test : 0.61 -Stat. AD after spacings (mNP2-S) : 1.13 -p-value of test : 0.29 +Stat. AD after spacings (mNP2-S) : 1.85 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:02:39.50 +CPU time used : 00:03:05.27 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) : 1.58 -p-value of test : 0.16 +Stat. AD on the N values (NP) : 0.35 +p-value of test : 0.90 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 0.55 -p-value of test : 0.69 +A2 test on the values of A2 (m-NP) : 3.36 +p-value of test : 0.02 -Test on the Nm values of W_{n,i}(mNP1): 0.67 -p-value of test : 0.58 +Test on the Nm values of W_{n,i}(mNP1): 0.39 +p-value of test : 0.86 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 314 -p-value of test : 0.22 +Number of jumps of Y : 302 +p-value of test : 0.46 -Stat. AD (mNP2) : 0.91 -p-value of test : 0.41 +Stat. AD (mNP2) : 0.60 +p-value of test : 0.65 -Stat. AD after spacings (mNP2-S) : 0.98 -p-value of test : 0.37 +Stat. AD after spacings (mNP2-S) : 0.63 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:04:37.29 +CPU time used : 00:04:30.20 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) : 0.30 -p-value of test : 0.94 +Stat. AD on the N values (NP) : 2.79 +p-value of test : 0.04 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) : 0.24 -p-value of test : 0.97 +A2 test on the values of A2 (m-NP) : 0.56 +p-value of test : 0.67 -Test on the Nm values of W_{n,i}(mNP1): 0.79 -p-value of test : 0.49 +Test on the Nm values of W_{n,i}(mNP1): 0.48 +p-value of test : 0.77 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 145 -p-value of test : 0.64 +Number of jumps of Y : 137 +p-value of test : 0.85 -Stat. AD (mNP2) : 1.55 -p-value of test : 0.16 +Stat. AD (mNP2) : 0.59 +p-value of test : 0.65 -Stat. AD after spacings (mNP2-S) : 1.50 -p-value of test : 0.18 +Stat. AD after spacings (mNP2-S) : 0.64 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:04:38.95 +CPU time used : 00:04:20.55 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 7.23 -p-value of test : 0.41 +Chi-square statistic : 0.87 +p-value of test : 0.9967 ----------------------------------------------- -CPU time used : 00:01:41.90 +CPU time used : 00:01:39.88 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 8.48 -p-value of test : 0.29 +Chi-square statistic : 2.83 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:02:00.42 +CPU time used : 00:01:57.60 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 16.91 -p-value of test : 0.53 +Chi-square statistic : 9.80 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:01:39.29 +CPU time used : 00:01:37.61 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 15.81 -p-value of test : 0.61 +Chi-square statistic : 13.87 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:01:57.20 +CPU time used : 00:01:55.26 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 55.42 -p-value of test : 0.42 +Chi-square statistic : 60.55 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:02:09.50 +CPU time used : 00:02:09.20 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 63.76 -p-value of test : 0.17 +Chi-square statistic : 66.53 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:02:29.85 +CPU time used : 00:02:33.15 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 51.06 -p-value of test : 0.59 +Chi-square statistic : 69.69 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:02:27.67 +CPU time used : 00:02:32.09 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 51.76 -p-value of test : 0.56 +Chi-square statistic : 46.04 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:02:24.09 +CPU time used : 00:02:31.73 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 243.86 -p-value of test : 0.28 +Chi-square statistic : 228.59 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:02:39.59 +CPU time used : 00:02:56.39 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 427.34 -p-value of test : 0.58 +Chi-square statistic : 430.35 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:03:53.30 +CPU time used : 00:04:13.20 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1443.17 -p-value of test : 0.45 +Chi-square statistic : 1488.03 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:04:04.97 +CPU time used : 00:04:15.28 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7137.71 -p-value of test : 0.22 +Chi-square statistic : 7162.71 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:04:03.01 +CPU time used : 00:04:12.77 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.45 -p-value of test : 0.10 +Kolmogorov-Smirnov+ statistic = D+ : 0.34 +p-value of test : 0.26 -Kolmogorov-Smirnov- statistic = D- : 0.082 -p-value of test : 0.89 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.71 -Anderson-Darling statistic = A2 : 1.07 -p-value of test : 0.32 +Anderson-Darling statistic = A2 : 0.55 +p-value of test : 0.69 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 22.48 -p-value of test : 0.84 +Chi-square statistic : 28.47 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:02:01.14 +CPU time used : 00:02:07.14 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.58 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.43 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.57 +Kolmogorov-Smirnov- statistic = D- : 0.055 +p-value of test : 0.91 -Anderson-Darling statistic = A2 : 0.36 -p-value of test : 0.88 +Anderson-Darling statistic = A2 : 0.51 +p-value of test : 0.73 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 57.39 -p-value of test : 0.57 +Chi-square statistic : 51.23 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:04:55.81 +CPU time used : 00:04:49.32 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 : 4.81 -p-value of test : 0.44 +Value of the statistic : 5.20 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:01:30.29 +CPU time used : 00:01:29.35 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 : 112.55 -p-value of test : 0.65 +Value of the statistic : 125.92 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:02:34.20 +CPU time used : 00:02:33.69 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 : 5002.77 -p-value of test : 0.64 +Value of the statistic : 5128.22 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:01:56.01 +CPU time used : 00:01:57.81 Generator state: N/A @@ -1567,12 +1567,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 3628799 -Value of the statistic : 3.62e+6 -p-value of test : 0.95 +Value of the statistic : 3.63e+6 +p-value of test : 0.72 ----------------------------------------------- -CPU time used : 00:04:05.04 +CPU time used : 00:03:47.98 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 : 45733 -p-value of test : 0.75 +Observed number of collisions : 45854 +p-value of test : 0.55 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869733 - j = 1 : 399908541 - j = 2 : 45719 - j = 3 : 7 + j = 0 : 1743165869854 + j = 1 : 399908294 + j = 2 : 45850 + j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:02.64 +CPU time used : 00:05:07.18 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 : 45915 -p-value of test : 0.43 +Observed number of collisions : 46062 +p-value of test : 0.20 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869915 - j = 1 : 399908175 - j = 2 : 45905 - j = 3 : 5 + j = 0 : 1743165870062 + j = 1 : 399907883 + j = 2 : 46048 + j = 3 : 7 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:07.93 +CPU time used : 00:05:52.13 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.03 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.32 -Kolmogorov-Smirnov- statistic = D- : 0.023 -p-value of test : 0.95 +Kolmogorov-Smirnov- statistic = D- : 0.033 +p-value of test : 0.90 -Anderson-Darling statistic = A2 : 1.89 -p-value of test : 0.11 +Anderson-Darling statistic = A2 : 0.61 +p-value of test : 0.64 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.90 +p-value of test : 0.79 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.32 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.20 -Kolmogorov-Smirnov- statistic = D- : 0.071 -p-value of test : 0.64 +Kolmogorov-Smirnov- statistic = D- : 0.031 +p-value of test : 0.91 -Anderson-Darling statistic = A2 : 0.51 -p-value of test : 0.74 +Anderson-Darling statistic = A2 : 1.10 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:04:22.84 +CPU time used : 00:05:14.84 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.011 -p-value of test : 0.99 +Kolmogorov-Smirnov+ statistic = D+ : 0.033 +p-value of test : 0.92 -Kolmogorov-Smirnov- statistic = D- : 0.24 -p-value of test : 0.03 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.34 -Anderson-Darling statistic = A2 : 2.97 -p-value of test : 0.03 +Anderson-Darling statistic = A2 : 0.51 +p-value of test : 0.74 Test on the sum of all N observations Number of degrees of freedom : 2999970 -Chi-square statistic : 3.01e+6 -p-value of test : 0.01 +Chi-square statistic : 3.00e+6 +p-value of test : 0.23 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.068 -p-value of test : 0.72 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.22 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.06 +Kolmogorov-Smirnov- statistic = D- : 0.028 +p-value of test : 0.94 -Anderson-Darling statistic = A2 : 1.44 -p-value of test : 0.19 +Anderson-Darling statistic = A2 : 1.21 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:04:03.42 +CPU time used : 00:04:44.20 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 0.03 +Kolmogorov-Smirnov+ statistic = D+ : 0.090 +p-value of test : 0.68 -Kolmogorov-Smirnov- statistic = D- : 0.033 -p-value of test : 0.94 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.15 -Anderson-Darling statistic = A2 : 2.37 -p-value of test : 0.06 +Anderson-Darling statistic = A2 : 0.97 +p-value of test : 0.37 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.97 +p-value of test : 0.25 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.095 -p-value of test : 0.66 +Kolmogorov-Smirnov+ statistic = D+ : 0.086 +p-value of test : 0.70 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.29 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.23 -Anderson-Darling statistic = A2 : 0.51 -p-value of test : 0.73 +Anderson-Darling statistic = A2 : 0.93 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:03:09.55 +CPU time used : 00:03:37.85 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.23 -p-value of test : 0.11 +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.18 -Kolmogorov-Smirnov- statistic = D- : 0.063 -p-value of test : 0.82 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.48 -Anderson-Darling statistic = A2 : 0.97 -p-value of test : 0.37 +Anderson-Darling statistic = A2 : 1.22 +p-value of test : 0.26 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.81 +p-value of test : 0.69 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.34 +Kolmogorov-Smirnov+ statistic = D+ : 0.32 +p-value of test : 0.01 -Kolmogorov-Smirnov- statistic = D- : 0.085 -p-value of test : 0.71 +Kolmogorov-Smirnov- statistic = D- : 0.017 +p-value of test : 0.98 -Anderson-Darling statistic = A2 : 0.42 -p-value of test : 0.83 +Anderson-Darling statistic = A2 : 2.90 +p-value of test : 0.03 ----------------------------------------------- -CPU time used : 00:03:36.77 +CPU time used : 00:04:10.30 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 6.94e-3 -p-value of test : 0.9909 +Kolmogorov-Smirnov+ statistic = D+ : 2.70e-3 +p-value of test : 0.9970 -Kolmogorov-Smirnov- statistic = D- : 0.19 -p-value of test : 0.04 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.34 -Anderson-Darling statistic = A2 : 2.12 -p-value of test : 0.08 +Anderson-Darling statistic = A2 : 1.08 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:03:07.29 +CPU time used : 00:04:26.79 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.033 -p-value of test : 0.94 +Kolmogorov-Smirnov+ statistic = D+ : 0.045 +p-value of test : 0.89 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.33 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.54 -Anderson-Darling statistic = A2 : 0.96 -p-value of test : 0.38 +Anderson-Darling statistic = A2 : 0.37 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:02:11.12 +CPU time used : 00:02:52.60 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.060 -p-value of test : 0.83 +Kolmogorov-Smirnov+ statistic = D+ : 0.030 +p-value of test : 0.95 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.36 +Kolmogorov-Smirnov- statistic = D- : 0.29 +p-value of test : 0.03 -Anderson-Darling statistic = A2 : 0.39 -p-value of test : 0.86 +Anderson-Darling statistic = A2 : 2.20 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:02:48.62 +CPU time used : 00:03:30.31 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.86e-4 -p-value of test : 0.25 +Kolmogorov-Smirnov+ statistic = D+ : 1.57e-4 +p-value of test : 0.37 -Kolmogorov-Smirnov- statistic = D- : 6.15e-5 -p-value of test : 0.86 +Kolmogorov-Smirnov- statistic = D- : 9.56e-5 +p-value of test : 0.69 -Anderson-Darling statistic = A2 : 0.71 -p-value of test : 0.55 +Anderson-Darling statistic = A2 : 0.61 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:00:41.12 +CPU time used : 00:00:44.06 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.58e-4 -p-value of test : 0.37 +Kolmogorov-Smirnov+ statistic = D+ : 7.20e-5 +p-value of test : 0.81 -Kolmogorov-Smirnov- statistic = D- : 1.97e-4 -p-value of test : 0.21 +Kolmogorov-Smirnov- statistic = D- : 1.75e-4 +p-value of test : 0.29 -Anderson-Darling statistic = A2 : 1.03 -p-value of test : 0.34 +Anderson-Darling statistic = A2 : 0.60 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:00:43.76 +CPU time used : 00:00:46.80 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.32 -p-value of test : 0.62 +Normal statistic : -0.66 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:00:43.22 +CPU time used : 00:00:44.38 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.26 -p-value of test : 0.40 +Normal statistic : -1.63 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:00:43.12 +CPU time used : 00:00:44.89 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -1.40 -p-value of test : 0.92 +Normal statistic : -2.66 +p-value of test : 0.9960 ----------------------------------------------- -CPU time used : 00:02:25.50 +CPU time used : 00:03:20.40 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -1.08 -p-value of test : 0.86 +Normal statistic : 0.56 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:02:29.52 +CPU time used : 00:03:23.87 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 66.98 -p-value of test : 0.48 +Chi-square statistic : 66.00 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:01:44.09 +CPU time used : 00:01:48.29 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 86.50 -p-value of test : 0.05 +Chi-square statistic : 58.96 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:02:10.35 +CPU time used : 00:02:13.11 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 91.92 -p-value of test : 0.02 +Chi-square statistic : 65.65 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:02:08.12 +CPU time used : 00:02:11.43 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 47.66 -p-value of test : 0.11 +Chi-square statistic : 44.06 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:01:43.43 +CPU time used : 00:01:46.36 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 35.43 -p-value of test : 0.54 +Chi-square statistic : 48.00 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:02:09.15 +CPU time used : 00:02:12.20 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 33.94 -p-value of test : 0.61 +Chi-square statistic : 31.61 +p-value of test : 0.72 ----------------------------------------------- -CPU time used : 00:02:07.37 +CPU time used : 00:02:11.37 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 27.41 -p-value of test : 0.55 +Chi-square statistic : 42.16 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:03:21.70 +CPU time used : 00:03:30.94 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.031 -p-value of test : 0.96 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.44 -Kolmogorov-Smirnov- statistic = D- : 0.39 -p-value of test : 0.04 +Kolmogorov-Smirnov- statistic = D- : 0.24 +p-value of test : 0.28 -Anderson-Darling statistic = A2 : 2.09 -p-value of test : 0.08 +Anderson-Darling statistic = A2 : 0.81 +p-value of test : 0.47 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 55.64 -p-value of test : 0.05 +Chi-square statistic : 37.07 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:01:50.19 +CPU time used : 00:01:54.51 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.30 -p-value of test : 0.14 +Kolmogorov-Smirnov+ statistic = D+ : 0.073 +p-value of test : 0.86 -Kolmogorov-Smirnov- statistic = D- : 2.78e-3 -p-value of test : 0.9971 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.37 -Anderson-Darling statistic = A2 : 1.60 -p-value of test : 0.15 +Anderson-Darling statistic = A2 : 0.78 +p-value of test : 0.49 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 25.74 -p-value of test : 0.96 +Chi-square statistic : 46.30 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:01:49.86 +CPU time used : 00:01:56.09 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 0.40 -p-value of test : 0.94 +Chi-square statistic : 2.13 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:03:03.46 +CPU time used : 00:03:10.75 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 1.66 -p-value of test : 0.65 +Chi-square statistic : 1.20 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:03:04.13 +CPU time used : 00:03:08.93 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 : 00:02:09.34 +CPU time used : 00:02:13.15 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 5.83 -p-value of test : 0.05 +Chi-square statistic : 3.76 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:01:45.15 +CPU time used : 00:01:48.04 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.067 -p-value of test : 0.88 +Kolmogorov-Smirnov+ statistic = D+ : 0.29 +p-value of test : 0.16 -Kolmogorov-Smirnov- statistic = D- : 0.31 -p-value of test : 0.12 +Kolmogorov-Smirnov- statistic = D- : 0.086 +p-value of test : 0.82 -Anderson-Darling statistic = A2 : 1.50 -p-value of test : 0.18 +Anderson-Darling statistic = A2 : 0.83 +p-value of test : 0.46 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 156.43 -p-value of test : 0.06 +Chi-square statistic : 114.27 +p-value of test : 0.84 ----------------------------------------------- -CPU time used : 00:01:14.79 +CPU time used : 00:01:16.25 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.33 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.75 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.69 +Kolmogorov-Smirnov- statistic = D- : 0.27 +p-value of test : 0.20 -Anderson-Darling statistic = A2 : 0.48 -p-value of test : 0.76 +Anderson-Darling statistic = A2 : 0.76 +p-value of test : 0.51 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17338.19 -p-value of test : 0.69 +Chi-square statistic :17576.45 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:02:02.70 +CPU time used : 00:01:59.90 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 : 21.98 -p-value of test : 0.97 +ChiSquare statistic : 42.16 +p-value of test : 0.22 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 41.78 -p-value of test : 0.20 +ChiSquare statistic : 44.29 +p-value of test : 0.14 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 24.87 -p-value of test : 0.47 +ChiSquare statistic : 20.98 +p-value of test : 0.69 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 27.59 -p-value of test : 0.28 +ChiSquare statistic : 28.84 +p-value of test : 0.23 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 20.36 -p-value of test : 0.26 +ChiSquare statistic : 12.90 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:01:01.90 +CPU time used : 00:01:02.74 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 : 32.44 -p-value of test : 0.64 +ChiSquare statistic : 27.84 +p-value of test : 0.83 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 22.61 -p-value of test : 0.95 +ChiSquare statistic : 37.19 +p-value of test : 0.37 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 17.38 -p-value of test : 0.87 +ChiSquare statistic : 35.86 +p-value of test : 0.07 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 25.21 -p-value of test : 0.39 +ChiSquare statistic : 27.98 +p-value of test : 0.26 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 15.59 -p-value of test : 0.55 +ChiSquare statistic : 23.47 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:01:03.18 +CPU time used : 00:01:04.52 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 : 148.42 -p-value of test : 0.43 +ChiSquare statistic : 146.80 +p-value of test : 0.47 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 163.49 -p-value of test : 0.15 +ChiSquare statistic : 147.25 +p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 516.46 -p-value of test : 0.30 +ChiSquare statistic : 499.29 +p-value of test : 0.50 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 151.69 -p-value of test : 0.17 +ChiSquare statistic : 127.02 +p-value of test : 0.70 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 88.56 -p-value of test : 0.12 +ChiSquare statistic : 79.81 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:01:18.29 +CPU time used : 00:01:22.34 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 : 147.02 -p-value of test : 0.46 +ChiSquare statistic : 122.73 +p-value of test : 0.92 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 127.75 -p-value of test : 0.86 +ChiSquare statistic : 152.23 +p-value of test : 0.35 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 470.47 -p-value of test : 0.82 +ChiSquare statistic : 515.20 +p-value of test : 0.31 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 161.03 -p-value of test : 0.07 +ChiSquare statistic : 118.80 +p-value of test : 0.85 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 91.72 -p-value of test : 0.08 +ChiSquare statistic : 79.55 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:01:19.86 +CPU time used : 00:01:23.31 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 : 363.18 -p-value of test : 0.77 +ChiSquare statistic : 369.77 +p-value of test : 0.69 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 356.89 -p-value of test : 0.84 +ChiSquare statistic : 410.34 +p-value of test : 0.17 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5169.80 -p-value of test : 0.05 +ChiSquare statistic : 4987.54 +p-value of test : 0.55 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 351.36 -p-value of test : 0.83 +ChiSquare statistic : 354.28 +p-value of test : 0.80 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 197.20 -p-value of test : 0.54 +ChiSquare statistic : 186.24 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:01:04.36 +CPU time used : 00:01:10.00 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 : 346.06 -p-value of test : 0.92 +ChiSquare statistic : 343.58 +p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 369.38 -p-value of test : 0.70 +ChiSquare statistic : 355.18 +p-value of test : 0.85 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4873.17 -p-value of test : 0.90 +ChiSquare statistic : 4899.12 +p-value of test : 0.84 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 412.29 -p-value of test : 0.11 +ChiSquare statistic : 330.27 +p-value of test : 0.96 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 202.53 -p-value of test : 0.44 +ChiSquare statistic : 204.06 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:01:05.00 +CPU time used : 00:01:10.84 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 13.79 -p-value of test : 0.31 +Chi2 statistic for size of jumps : 13.62 +p-value of test : 0.33 ----------------------------------------------- -Normal statistic for number of jumps : 1.49 -p-value of test : 0.07 +Normal statistic for number of jumps : -0.27 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:03:02.47 +CPU time used : 00:03:04.59 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 11.64 -p-value of test : 0.48 +Chi2 statistic for size of jumps : 10.81 +p-value of test : 0.55 ----------------------------------------------- -Normal statistic for number of jumps : 1.34 -p-value of test : 0.09 +Normal statistic for number of jumps : -0.49 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:03:03.29 +CPU time used : 00:03:01.04 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.55 +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.41 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.60 +Kolmogorov-Smirnov- statistic = D- : 0.35 +p-value of test : 0.07 -Anderson-Darling statistic = A2 : 0.31 -p-value of test : 0.93 +Anderson-Darling statistic = A2 : 1.85 +p-value of test : 0.11 Tests on the sum of all N observations -Standardized normal statistic : -0.022 -p-value of test : 0.51 +Standardized normal statistic : 0.97 +p-value of test : 0.17 -Sample variance : 0.59 -p-value of test : 0.80 +Sample variance : 0.21 +p-value of test : 0.9926 ----------------------------------------------- -CPU time used : 00:01:10.72 +CPU time used : 00:01:01.81 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.33 +Kolmogorov-Smirnov+ statistic = D+ : 0.28 +p-value of test : 0.18 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.60 +Kolmogorov-Smirnov- statistic = D- : 0.36 +p-value of test : 0.06 -Anderson-Darling statistic = A2 : 0.43 -p-value of test : 0.82 +Anderson-Darling statistic = A2 : 2.72 +p-value of test : 0.04 Tests on the sum of all N observations -Standardized normal statistic : 0.14 -p-value of test : 0.45 +Standardized normal statistic : 0.33 +p-value of test : 0.37 -Sample variance : 0.75 -p-value of test : 0.67 +Sample variance : 2.80 +p-value of test : 2.8e-3 ----------------------------------------------- -CPU time used : 00:01:25.38 +CPU time used : 00:01:08.24 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.011 -p-value of test : 0.37 - -Kolmogorov-Smirnov- statistic = D- : 5.89e-3 +Kolmogorov-Smirnov+ statistic = D+ : 5.95e-3 p-value of test : 0.75 -Anderson-Darling statistic = A2 : 0.35 -p-value of test : 0.90 +Kolmogorov-Smirnov- statistic = D- : 7.79e-3 +p-value of test : 0.60 + +Anderson-Darling statistic = A2 : 0.23 +p-value of test : 0.98 ----------------------------------------------- -CPU time used : 00:00:56.45 +CPU time used : 00:00:57.72 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.010 -p-value of test : 0.41 +Kolmogorov-Smirnov+ statistic = D+ : 0.014 +p-value of test : 0.22 -Kolmogorov-Smirnov- statistic = D- : 6.69e-3 -p-value of test : 0.69 +Kolmogorov-Smirnov- statistic = D- : 6.40e-3 +p-value of test : 0.71 -Anderson-Darling statistic = A2 : 0.29 -p-value of test : 0.95 +Anderson-Darling statistic = A2 : 0.55 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:00:56.18 +CPU time used : 00:00:57.09 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 3.69 -p-value of test : 0.88 +Chi-square statistic : 6.67 +p-value of test : 0.57 ----------------------------------------------- -Global longest run of 1 : 33.00 -p-value of test : 0.44 +Global longest run of 1 : 31.00 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:56.88 +CPU time used : 00:02:01.88 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 10.18 -p-value of test : 0.25 +Chi-square statistic : 8.10 +p-value of test : 0.42 ----------------------------------------------- -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 : 00:02:00.04 +CPU time used : 00:02:06.18 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.058 -p-value of test : 0.90 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.71 -Kolmogorov-Smirnov- statistic = D- : 0.39 -p-value of test : 0.04 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.63 -Anderson-Darling statistic = A2 : 1.23 -p-value of test : 0.26 +Anderson-Darling statistic = A2 : 0.26 +p-value of test : 0.96 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 220.80 -p-value of test : 0.15 +Chi-square statistic : 205.21 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:03:27.65 +CPU time used : 00:03:31.15 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.39 +Kolmogorov-Smirnov+ statistic = D+ : 0.091 +p-value of test : 0.80 -Kolmogorov-Smirnov- statistic = D- : 0.055 -p-value of test : 0.91 +Kolmogorov-Smirnov- statistic = D- : 0.26 +p-value of test : 0.21 -Anderson-Darling statistic = A2 : 0.47 -p-value of test : 0.77 +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 : 200 -Chi-square statistic : 187.61 -p-value of test : 0.73 +Chi-square statistic : 211.83 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:03:31.22 +CPU time used : 00:03:30.45 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.68 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.53 -Kolmogorov-Smirnov- statistic = D- : 0.31 -p-value of test : 0.11 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.69 -Anderson-Darling statistic = A2 : 1.08 -p-value of test : 0.31 +Anderson-Darling statistic = A2 : 0.42 +p-value of test : 0.83 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10100.40 -p-value of test : 0.24 +Chi-square statistic : 9933.61 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:01:17.72 +CPU time used : 00:01:19.22 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.38 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.54 -Kolmogorov-Smirnov- statistic = D- : 0.038 -p-value of test : 0.95 +Kolmogorov-Smirnov- statistic = D- : 0.23 +p-value of test : 0.29 -Anderson-Darling statistic = A2 : 0.45 -p-value of test : 0.80 +Anderson-Darling statistic = A2 : 0.58 +p-value of test : 0.67 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9885.23 -p-value of test : 0.79 +Chi-square statistic :10005.85 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:01:20.31 +CPU time used : 00:01:23.24 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.13 -p-value of test : 0.55 +Normal statistic : -1.53 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:01:32.52 +CPU time used : 00:01:33.93 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.40 -p-value of test : 0.34 +Normal statistic : 0.43 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:01:26.99 +CPU time used : 00:01:26.68 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.27 -p-value of test : 0.39 +Normal statistic : -0.75 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:05:46.75 +CPU time used : 00:05:39.33 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.072 -p-value of test : 0.87 +Kolmogorov-Smirnov+ statistic = D+ : 5.52e-3 +p-value of test : 0.9942 -Kolmogorov-Smirnov- statistic = D- : 0.25 -p-value of test : 0.24 +Kolmogorov-Smirnov- statistic = D- : 0.35 +p-value of test : 0.07 -Anderson-Darling statistic = A2 : 0.48 -p-value of test : 0.76 +Anderson-Darling statistic = A2 : 1.75 +p-value of test : 0.13 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4946.02 -p-value of test : 0.28 +Chi-square statistic : 5072.40 +p-value of test : 0.03 ----------------------------------------------- -CPU time used : 00:02:30.72 +CPU time used : 00:02:35.04 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.72 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.42 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.38 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.71 -Anderson-Darling statistic = A2 : 0.46 -p-value of test : 0.78 +Anderson-Darling statistic = A2 : 0.34 +p-value of test : 0.91 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4936.40 -p-value of test : 0.32 +Chi-square statistic : 4857.52 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:02:35.08 +CPU time used : 00:02:39.70 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 : 4195.41 -p-value of test : 0.19 +Chi-square statistic : 4092.09 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:01:50.81 +CPU time used : 00:01:53.29 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 : 4114.99 -p-value of test : 0.51 +Chi-square statistic : 4110.24 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:01:54.72 +CPU time used : 00:01:57.84 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 :11631.23 -p-value of test : 0.90 +Chi-square statistic :116
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