http://git-wip-us.apache.org/repos/asf/commons-rng/blob/a61e17b9/src/site/resources/txt/userguide/stress/tu/run_2/tu_12 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_2/tu_12 b/src/site/resources/txt/userguide/stress/tu/run_2/tu_12 index b851de2..8db05d8 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_2/tu_12 +++ b/src/site/resources/txt/userguide/stress/tu/run_2/tu_12 @@ -1,9 +1,9 @@ # -# RNG: org.apache.commons.rng.internal.source64.XorShift1024Star +# RNG: org.apache.commons.rng.core.source64.XorShift1024Star # -# 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 @@ -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 : 0.68 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:02:20.31 +CPU time used : 00:02:06.93 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 : 0.81 +p-value of test : 0.71 ----------------------------------------------- -CPU time used : 00:02:18.92 +CPU time used : 00:02:06.12 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 : 1379 -p-value of test : 0.35 +Observed number of collisions : 1286 +p-value of test : 0.98 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334499 - j = 1 : 599997242 - j = 2 : 1379 + j = 0 : 131940795334406 + j = 1 : 599997428 + j = 2 : 1286 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:24.99 +CPU time used : 00:04:19.20 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 : 1405 -p-value of test : 0.14 +Observed number of collisions : 1277 +p-value of test : 0.9911 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334525 - j = 1 : 599997190 - j = 2 : 1405 + j = 0 : 131940795334397 + j = 1 : 599997446 + j = 2 : 1277 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:24.25 +CPU time used : 00:04:05.85 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 : 1309 -p-value of test : 0.93 +Observed number of collisions : 1361 +p-value of test : 0.53 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334429 - j = 1 : 599997382 - j = 2 : 1309 + j = 0 : 131940795334481 + j = 1 : 599997278 + j = 2 : 1361 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:45.95 +CPU time used : 00:05:56.11 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 : 1381 -p-value of test : 0.33 +Observed number of collisions : 1359 +p-value of test : 0.55 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334501 - j = 1 : 599997238 - j = 2 : 1381 + j = 0 : 131940795334479 + j = 1 : 599997282 + j = 2 : 1359 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:47.67 +CPU time used : 00:05:45.45 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 : 1360 -p-value of test : 0.54 +Observed number of collisions : 1356 +p-value of test : 0.58 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334480 - j = 1 : 599997280 - j = 2 : 1360 + j = 0 : 131940795334476 + j = 1 : 599997288 + j = 2 : 1356 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:26.36 +CPU time used : 00:05:59.84 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 : 1362 -p-value of test : 0.52 +Observed number of collisions : 1331 +p-value of test : 0.81 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334482 - j = 1 : 599997276 - j = 2 : 1362 + j = 0 : 131940795334451 + j = 1 : 599997338 + j = 2 : 1331 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:07.23 +CPU time used : 00:06:00.90 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 : 1475 -p-value of test : 1.6e-3 +Observed number of collisions : 1328 +p-value of test : 0.83 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334595 - j = 1 : 599997050 - j = 2 : 1475 + j = 0 : 131940795334448 + j = 1 : 599997344 + j = 2 : 1328 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:23.28 +CPU time used : 00:07:20.63 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 : 1379 -p-value of test : 0.35 +Observed number of collisions : 1336 +p-value of test : 0.77 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334499 - j = 1 : 599997242 - j = 2 : 1379 + j = 0 : 131940795334456 + j = 1 : 599997328 + j = 2 : 1336 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:44.46 +CPU time used : 00:05:42.92 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 : 1378 -p-value of test : 0.36 +Observed number of collisions : 1374 +p-value of test : 0.40 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334498 - j = 1 : 599997244 - j = 2 : 1378 + j = 0 : 131940795334494 + j = 1 : 599997252 + j = 2 : 1374 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:07.23 +CPU time used : 00:07:01.34 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 : 1347 -p-value of test : 0.67 +Observed number of collisions : 1439 +p-value of test : 0.02 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334467 - j = 1 : 599997306 - j = 2 : 1347 + j = 0 : 131940795334559 + j = 1 : 599997122 + j = 2 : 1439 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:51.13 +CPU time used : 00:07:16.90 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5456 -p-value of test : 0.32 +Total observed number : 5437 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:04:18.94 +CPU time used : 00:05:03.47 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4299 -p-value of test : 0.71 +Total observed number : 4327 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:01:52.89 +CPU time used : 00:02:10.44 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7317 -p-value of test : 0.50 +Total observed number : 7322 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:03:10.23 +CPU time used : 00:03:41.01 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4283 -p-value of test : 0.79 +Total observed number : 4230 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:02:19.09 +CPU time used : 00:02:42.31 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4323 -p-value of test : 0.58 +Total observed number : 4270 +p-value of test : 0.84 ----------------------------------------------- -CPU time used : 00:02:24.85 +CPU time used : 00:02:50.42 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7166 -p-value of test : 0.96 +Total observed number : 7457 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:03:52.13 +CPU time used : 00:04:12.81 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7324 -p-value of test : 0.48 +Total observed number : 7284 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:03:58.30 +CPU time used : 00:04:18.64 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7318 -p-value of test : 0.50 +Total observed number : 7359 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:05:06.48 +CPU time used : 00:05:35.73 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7386 -p-value of test : 0.22 +Total observed number : 7398 +p-value of test : 0.18 ----------------------------------------------- -CPU time used : 00:05:32.27 +CPU time used : 00:05:59.96 Generator state: N/A @@ -887,34 +887,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 1.36 -p-value of test : 0.21 +Stat. AD on the N values (NP) : 1.52 +p-value of test : 0.17 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) : 1.14 -p-value of test : 0.29 +A2 test on the values of A2 (m-NP) : 0.20 +p-value of test : 0.9911 -Test on the Nm values of W_{n,i}(mNP1): 1.62 -p-value of test : 0.15 +Test on the Nm values of W_{n,i}(mNP1): 0.44 +p-value of test : 0.81 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 876 -p-value of test : 0.78 +Number of jumps of Y : 904 +p-value of test : 0.45 -Stat. AD (mNP2) : 1.52 -p-value of test : 0.17 +Stat. AD (mNP2) : 1.47 +p-value of test : 0.18 -Stat. AD after spacings (mNP2-S) : 1.94 -p-value of test : 0.10 +Stat. AD after spacings (mNP2-S) : 1.52 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:03:08.47 +CPU time used : 00:03:20.35 Generator state: N/A @@ -935,34 +935,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 2.42 -p-value of test : 0.05 +Stat. AD on the N values (NP) : 0.62 +p-value of test : 0.62 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 0.53 -p-value of test : 0.71 +A2 test on the values of A2 (m-NP) : 0.26 +p-value of test : 0.96 -Test on the Nm values of W_{n,i}(mNP1): 0.36 -p-value of test : 0.89 +Test on the Nm values of W_{n,i}(mNP1): 1.64 +p-value of test : 0.15 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 583 -p-value of test : 0.75 +Number of jumps of Y : 633 +p-value of test : 0.09 -Stat. AD (mNP2) : 1.08 -p-value of test : 0.32 +Stat. AD (mNP2) : 1.49 +p-value of test : 0.18 -Stat. AD after spacings (mNP2-S) : 0.64 -p-value of test : 0.61 +Stat. AD after spacings (mNP2-S) : 2.42 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:01:59.53 +CPU time used : 00:02:07.69 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) : 1.50 -p-value of test : 0.18 +Stat. AD on the N values (NP) : 0.96 +p-value of test : 0.37 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) : 0.85 -p-value of test : 0.44 +A2 test on the values of A2 (m-NP) : 1.25 +p-value of test : 0.25 -Test on the Nm values of W_{n,i}(mNP1): 0.42 -p-value of test : 0.83 +Test on the Nm values of W_{n,i}(mNP1): 0.26 +p-value of test : 0.96 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 301 -p-value of test : 0.48 +Number of jumps of Y : 307 +p-value of test : 0.35 -Stat. AD (mNP2) : 2.22 -p-value of test : 0.07 +Stat. AD (mNP2) : 0.63 +p-value of test : 0.62 -Stat. AD after spacings (mNP2-S) : 1.09 -p-value of test : 0.31 +Stat. AD after spacings (mNP2-S) : 0.44 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:02:58.82 +CPU time used : 00:03:22.43 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) : 0.72 -p-value of test : 0.53 +Stat. AD on the N values (NP) : 0.98 +p-value of test : 0.36 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 4.59 -p-value of test : 5.0e-3 +A2 test on the values of A2 (m-NP) : 0.38 +p-value of test : 0.86 -Test on the Nm values of W_{n,i}(mNP1): 0.34 -p-value of test : 0.91 +Test on the Nm values of W_{n,i}(mNP1): 0.64 +p-value of test : 0.61 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 153 -p-value of test : 0.41 +Number of jumps of Y : 138 +p-value of test : 0.83 -Stat. AD (mNP2) : 0.51 -p-value of test : 0.74 +Stat. AD (mNP2) : 0.44 +p-value of test : 0.81 -Stat. AD after spacings (mNP2-S) : 0.69 -p-value of test : 0.57 +Stat. AD after spacings (mNP2-S) : 0.80 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:03:17.64 +CPU time used : 00:03:24.65 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 5.85 -p-value of test : 0.56 +Chi-square statistic : 8.10 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:01:19.94 +CPU time used : 00:01:25.64 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 5.04 -p-value of test : 0.65 +Chi-square statistic : 7.07 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:01:31.60 +CPU time used : 00:01:38.25 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 28.45 -p-value of test : 0.06 +Chi-square statistic : 23.20 +p-value of test : 0.18 ----------------------------------------------- -CPU time used : 00:01:18.82 +CPU time used : 00:01:31.81 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 20.51 -p-value of test : 0.30 +Chi-square statistic : 18.13 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:01:30.36 +CPU time used : 00:01:46.75 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 57.93 -p-value of test : 0.33 +Chi-square statistic : 62.08 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:01:47.38 +CPU time used : 00:01:55.65 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 37.71 -p-value of test : 0.95 +Chi-square statistic : 77.29 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:01:59.69 +CPU time used : 00:02:17.60 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 58.82 -p-value of test : 0.30 +Chi-square statistic : 42.18 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:02:01.11 +CPU time used : 00:02:18.60 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 41.13 -p-value of test : 0.90 +Chi-square statistic : 49.67 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:02:01.17 +CPU time used : 00:02:14.72 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 231.03 -p-value of test : 0.51 +Chi-square statistic : 199.68 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:02:23.15 +CPU time used : 00:02:59.88 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 418.97 -p-value of test : 0.69 +Chi-square statistic : 415.53 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:03:17.27 +CPU time used : 00:04:03.53 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1441.74 -p-value of test : 0.46 +Chi-square statistic : 1341.59 +p-value of test : 0.96 ----------------------------------------------- -CPU time used : 00:03:29.27 +CPU time used : 00:04:25.76 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 6983.72 -p-value of test : 0.70 +Chi-square statistic : 7064.05 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:03:22.23 +CPU time used : 00:04:13.42 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.33 -p-value of test : 0.27 +Kolmogorov-Smirnov+ statistic = D+ : 0.071 +p-value of test : 0.91 -Kolmogorov-Smirnov- statistic = D- : 0.53 -p-value of test : 0.04 +Kolmogorov-Smirnov- statistic = D- : 0.35 +p-value of test : 0.23 -Anderson-Darling statistic = A2 : 1.63 -p-value of test : 0.15 +Anderson-Darling statistic = A2 : 1.26 +p-value of test : 0.24 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 31.45 -p-value of test : 0.39 +Chi-square statistic : 44.56 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:01:51.38 +CPU time used : 00:02:14.42 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.044 -p-value of test : 0.93 - -Kolmogorov-Smirnov- statistic = D- : 0.29 -p-value of test : 0.15 +Kolmogorov-Smirnov+ statistic = D+ : 0.053 +p-value of test : 0.92 -Anderson-Darling statistic = A2 : 1.54 +Kolmogorov-Smirnov- statistic = D- : 0.28 p-value of test : 0.17 +Anderson-Darling statistic = A2 : 1.64 +p-value of test : 0.15 + Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 74.29 -p-value of test : 0.10 +Chi-square statistic : 79.08 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:04:18.46 +CPU time used : 00:05:10.95 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 : 6.34 -p-value of test : 0.27 +Value of the statistic : 0.92 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:01:21.76 +CPU time used : 00:01:28.79 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 : 127.15 -p-value of test : 0.29 +Value of the statistic : 121.72 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:02:10.32 +CPU time used : 00:02:30.67 Generator state: N/A @@ -1528,12 +1528,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5039 -Value of the statistic : 5019.05 -p-value of test : 0.58 +Value of the statistic : 5024.28 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:01:33.32 +CPU time used : 00:01:49.30 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 : 0.26 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:03:06.15 +CPU time used : 00:03:29.80 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 : 45814 -p-value of test : 0.62 +Observed number of collisions : 46177 +p-value of test : 0.08 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869814 - j = 1 : 399908376 - j = 2 : 45806 - j = 3 : 4 + j = 0 : 1743165870177 + j = 1 : 399907647 + j = 2 : 46175 + j = 3 : 1 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:19.37 +CPU time used : 00:04:27.20 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 : 45894 -p-value of test : 0.47 +Observed number of collisions : 46178 +p-value of test : 0.08 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869894 - j = 1 : 399908214 - j = 2 : 45890 - j = 3 : 2 + j = 0 : 1743165870178 + j = 1 : 399907649 + j = 2 : 46168 + j = 3 : 5 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:31.14 +CPU time used : 00:05:20.70 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.07 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.40 -Kolmogorov-Smirnov- statistic = D- : 0.030 -p-value of test : 0.91 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.30 -Anderson-Darling statistic = A2 : 1.25 -p-value of test : 0.25 +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 : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.90 +p-value of test : 0.32 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.11 +Kolmogorov-Smirnov+ statistic = D+ : 0.091 +p-value of test : 0.49 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.21 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.31 -Anderson-Darling statistic = A2 : 1.72 -p-value of test : 0.13 +Anderson-Darling statistic = A2 : 0.75 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:03:18.80 +CPU time used : 00:04:27.20 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.23 -p-value of test : 0.03 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.36 -Kolmogorov-Smirnov- statistic = D- : 0.027 -p-value of test : 0.94 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.44 -Anderson-Darling statistic = A2 : 1.55 -p-value of test : 0.17 +Anderson-Darling statistic = A2 : 0.55 +p-value of test : 0.70 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.92 +p-value of test : 0.61 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.076 -p-value of test : 0.67 +Kolmogorov-Smirnov+ statistic = D+ : 0.036 +p-value of test : 0.90 -Kolmogorov-Smirnov- statistic = D- : 0.095 -p-value of test : 0.55 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.13 -Anderson-Darling statistic = A2 : 0.42 -p-value of test : 0.83 +Anderson-Darling statistic = A2 : 1.37 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:03:05.38 +CPU time used : 00:04:11.57 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.31 +Kolmogorov-Smirnov+ statistic = D+ : 0.071 +p-value of test : 0.78 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.45 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.35 -Anderson-Darling statistic = A2 : 0.63 -p-value of test : 0.62 +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 : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.60 +p-value of test : 0.48 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.48 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.14 -Kolmogorov-Smirnov- statistic = D- : 0.035 -p-value of test : 0.93 +Kolmogorov-Smirnov- statistic = D- : 0.052 +p-value of test : 0.87 -Anderson-Darling statistic = A2 : 0.39 -p-value of test : 0.85 +Anderson-Darling statistic = A2 : 0.91 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:02:27.93 +CPU time used : 00:03:07.37 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.53 +Kolmogorov-Smirnov+ statistic = D+ : 8.53e-3 +p-value of test : 0.99 -Kolmogorov-Smirnov- statistic = D- : 0.077 -p-value of test : 0.75 +Kolmogorov-Smirnov- statistic = D- : 0.26 +p-value of test : 0.05 -Anderson-Darling statistic = A2 : 0.38 -p-value of test : 0.86 +Anderson-Darling statistic = A2 : 1.68 +p-value of test : 0.14 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.70 +p-value of test : 0.04 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.49 +Kolmogorov-Smirnov+ statistic = D+ : 1.46e-3 +p-value of test : 0.9985 -Kolmogorov-Smirnov- statistic = D- : 0.084 -p-value of test : 0.71 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.36 -Anderson-Darling statistic = A2 : 0.56 -p-value of test : 0.68 +Anderson-Darling statistic = A2 : 1.00 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:02:53.62 +CPU time used : 00:03:40.39 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.050 -p-value of test : 0.79 +Kolmogorov-Smirnov+ statistic = D+ : 0.092 +p-value of test : 0.48 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.29 +Kolmogorov-Smirnov- statistic = D- : 0.088 +p-value of test : 0.51 -Anderson-Darling statistic = A2 : 0.72 -p-value of test : 0.54 +Anderson-Darling statistic = A2 : 0.37 +p-value of test : 0.87 ----------------------------------------------- -CPU time used : 00:02:30.04 +CPU time used : 00:03:56.12 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.32 +Kolmogorov-Smirnov+ statistic = D+ : 0.082 +p-value of test : 0.72 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.56 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.25 -Anderson-Darling statistic = A2 : 0.70 -p-value of test : 0.56 +Anderson-Darling statistic = A2 : 1.14 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:01:46.53 +CPU time used : 00:02:35.21 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.061 -p-value of test : 0.83 - -Kolmogorov-Smirnov- statistic = D- : 0.11 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.56 -Anderson-Darling statistic = A2 : 0.26 -p-value of test : 0.96 +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.21 + +Anderson-Darling statistic = A2 : 0.66 +p-value of test : 0.59 ----------------------------------------------- -CPU time used : 00:02:17.89 +CPU time used : 00:03:12.79 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 5.19e-5 -p-value of test : 0.90 +Kolmogorov-Smirnov+ statistic = D+ : 1.35e-4 +p-value of test : 0.48 -Kolmogorov-Smirnov- statistic = D- : 3.40e-4 -p-value of test : 9.8e-3 +Kolmogorov-Smirnov- statistic = D- : 2.23e-4 +p-value of test : 0.14 -Anderson-Darling statistic = A2 : 2.71 -p-value of test : 0.04 +Anderson-Darling statistic = A2 : 1.40 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:00:33.18 +CPU time used : 00:00:36.77 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 6.87e-5 -p-value of test : 0.83 +Kolmogorov-Smirnov+ statistic = D+ : 9.04e-5 +p-value of test : 0.72 -Kolmogorov-Smirnov- statistic = D- : 1.69e-4 -p-value of test : 0.32 +Kolmogorov-Smirnov- statistic = D- : 2.02e-4 +p-value of test : 0.20 -Anderson-Darling statistic = A2 : 0.47 -p-value of test : 0.78 +Anderson-Darling statistic = A2 : 0.80 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:00:33.93 +CPU time used : 00:00:39.17 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 2.04 -p-value of test : 0.02 +Normal statistic : 0.41 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:00:33.84 +CPU time used : 00:00:40.44 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -1.73 -p-value of test : 0.96 +Normal statistic : 0.40 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:00:35.04 +CPU time used : 00:00:41.30 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -0.25 -p-value of test : 0.60 +Normal statistic : -0.86 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:02:02.63 +CPU time used : 00:03:16.44 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 0.21 -p-value of test : 0.42 +Normal statistic : -0.22 +p-value of test : 0.59 ----------------------------------------------- -CPU time used : 00:02:03.71 +CPU time used : 00:03:13.77 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 57.72 -p-value of test : 0.78 +Chi-square statistic : 71.26 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:01:30.05 +CPU time used : 00:01:44.06 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 72.20 -p-value of test : 0.31 +Chi-square statistic : 83.69 +p-value of test : 0.08 ----------------------------------------------- -CPU time used : 00:01:44.65 +CPU time used : 00:02:03.63 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 73.23 -p-value of test : 0.28 +Chi-square statistic : 56.40 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:01:41.30 +CPU time used : 00:02:00.70 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 40.60 -p-value of test : 0.31 +Chi-square statistic : 37.56 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:01:27.44 +CPU time used : 00:01:44.51 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 35.86 -p-value of test : 0.52 +Chi-square statistic : 27.34 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:01:57.90 +CPU time used : 00:02:04.92 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 42.49 -p-value of test : 0.25 +Chi-square statistic : 26.67 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:01:44.31 +CPU time used : 00:01:58.69 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 28.25 -p-value of test : 0.50 +Chi-square statistic : 29.08 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:02:44.76 +CPU time used : 00:03:14.45 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.74 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.43 -Kolmogorov-Smirnov- statistic = D- : 0.30 -p-value of test : 0.13 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.36 -Anderson-Darling statistic = A2 : 1.06 -p-value of test : 0.33 +Anderson-Darling statistic = A2 : 0.50 +p-value of test : 0.74 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 44.96 -p-value of test : 0.27 +Chi-square statistic : 38.11 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:01:37.32 +CPU time used : 00:01:29.21 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.26 -p-value of test : 0.22 +Kolmogorov-Smirnov+ statistic = D+ : 0.28 +p-value of test : 0.18 -Kolmogorov-Smirnov- statistic = D- : 0.089 -p-value of test : 0.81 +Kolmogorov-Smirnov- statistic = D- : 0.068 +p-value of test : 0.88 -Anderson-Darling statistic = A2 : 0.95 -p-value of test : 0.38 +Anderson-Darling statistic = A2 : 1.01 +p-value of test : 0.35 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 29.18 -p-value of test : 0.90 +Chi-square statistic : 33.13 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:01:48.67 +CPU time used : 00:01:40.20 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 1.70 -p-value of test : 0.64 +Chi-square statistic : 5.05 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:03:36.73 +CPU time used : 00:03:15.37 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 0.29 -p-value of test : 0.96 +Chi-square statistic : 4.42 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:03:08.29 +CPU time used : 00:02:47.06 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.41 -p-value of test : 0.82 +Chi-square statistic : 0.51 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:01:39.68 +CPU time used : 00:01:39.96 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 1.05 -p-value of test : 0.59 +Chi-square statistic : 0.65 +p-value of test : 0.72 ----------------------------------------------- -CPU time used : 00:01:21.12 +CPU time used : 00:01:20.67 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.38 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.52 -Kolmogorov-Smirnov- statistic = D- : 0.27 -p-value of test : 0.19 +Kolmogorov-Smirnov- statistic = D- : 0.072 +p-value of test : 0.86 -Anderson-Darling statistic = A2 : 1.03 -p-value of test : 0.34 +Anderson-Darling statistic = A2 : 0.46 +p-value of test : 0.78 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 144.11 -p-value of test : 0.19 +Chi-square statistic : 119.87 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:01:02.34 +CPU time used : 00:01:05.93 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 : 0.34 +Kolmogorov-Smirnov+ statistic = D+ : 0.25 +p-value of test : 0.25 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.49 +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.42 -Anderson-Darling statistic = A2 : 0.55 -p-value of test : 0.69 +Anderson-Darling statistic = A2 : 0.95 +p-value of test : 0.38 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17355.24 -p-value of test : 0.65 +Chi-square statistic :17408.68 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:01:52.53 +CPU time used : 00:01:57.79 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 : 41.10 -p-value of test : 0.26 +ChiSquare statistic : 38.22 +p-value of test : 0.37 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 36.53 -p-value of test : 0.40 +ChiSquare statistic : 33.74 +p-value of test : 0.53 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 37.20 -p-value of test : 0.06 +ChiSquare statistic : 27.39 +p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 24.96 -p-value of test : 0.41 +ChiSquare statistic : 18.19 +p-value of test : 0.79 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 19.79 -p-value of test : 0.29 +ChiSquare statistic : 16.57 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:00:46.37 +CPU time used : 00:00:52.11 Generator state: N/A @@ -2628,44 +2628,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 36 -ChiSquare statistic : 24.40 -p-value of test : 0.93 +ChiSquare statistic : 37.14 +p-value of test : 0.42 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 34.43 -p-value of test : 0.50 +ChiSquare statistic : 33.30 +p-value of test : 0.55 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 24.27 -p-value of test : 0.50 +ChiSquare statistic : 25.55 +p-value of test : 0.43 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 22.21 -p-value of test : 0.57 +ChiSquare statistic : 20.32 +p-value of test : 0.68 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 11.24 -p-value of test : 0.84 +ChiSquare statistic : 12.06 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:00:47.92 +CPU time used : 00:00:52.34 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 : 159.24 -p-value of test : 0.21 +ChiSquare statistic : 134.77 +p-value of test : 0.74 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 121.82 -p-value of test : 0.93 +ChiSquare statistic : 127.41 +p-value of test : 0.86 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 452.71 -p-value of test : 0.94 +ChiSquare statistic : 508.24 +p-value of test : 0.39 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 103.06 -p-value of test : 0.98 +ChiSquare statistic : 127.03 +p-value of test : 0.70 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 78.37 -p-value of test : 0.34 +ChiSquare statistic : 83.37 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:01:00.70 +CPU time used : 00:01:24.76 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 : 140.26 -p-value of test : 0.62 +ChiSquare statistic : 125.23 +p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 136.97 -p-value of test : 0.69 +ChiSquare statistic : 130.27 +p-value of test : 0.82 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 461.41 -p-value of test : 0.89 +ChiSquare statistic : 508.98 +p-value of test : 0.38 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 152.69 -p-value of test : 0.16 +ChiSquare statistic : 134.34 +p-value of test : 0.52 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 82.50 -p-value of test : 0.23 +ChiSquare statistic : 71.35 +p-value of test : 0.57 ----------------------------------------------- -CPU time used : 00:00:54.54 +CPU time used : 00:01:01.79 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 : 367.95 -p-value of test : 0.71 +ChiSquare statistic : 331.78 +p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 345.87 -p-value of test : 0.92 +ChiSquare statistic : 375.88 +p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4923.74 -p-value of test : 0.78 +ChiSquare statistic : 4862.34 +p-value of test : 0.92 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 403.75 -p-value of test : 0.17 +ChiSquare statistic : 371.60 +p-value of test : 0.58 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 185.48 -p-value of test : 0.76 +ChiSquare statistic : 220.70 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:00:45.52 +CPU time used : 00:00:53.13 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 : 351.99 -p-value of test : 0.88 +ChiSquare statistic : 401.33 +p-value of test : 0.26 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 376.21 -p-value of test : 0.60 +ChiSquare statistic : 436.06 +p-value of test : 0.03 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5040.58 -p-value of test : 0.34 +ChiSquare statistic : 5145.22 +p-value of test : 0.07 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 367.55 -p-value of test : 0.64 +ChiSquare statistic : 348.12 +p-value of test : 0.86 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 159.23 -p-value of test : 0.98 +ChiSquare statistic : 214.72 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:00:45.65 +CPU time used : 00:01:06.64 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 8.15 -p-value of test : 0.77 +Chi2 statistic for size of jumps : 14.87 +p-value of test : 0.25 ----------------------------------------------- -Normal statistic for number of jumps : 0.41 -p-value of test : 0.34 +Normal statistic for number of jumps : 1.06 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:02:24.22 +CPU time used : 00:02:13.48 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 12.58 -p-value of test : 0.40 +Chi2 statistic for size of jumps : 10.11 +p-value of test : 0.61 ----------------------------------------------- -Normal statistic for number of jumps : -0.68 -p-value of test : 0.75 +Normal statistic for number of jumps : -0.72 +p-value of test : 0.76 ----------------------------------------------- -CPU time used : 00:02:23.94 +CPU time used : 00:02:13.15 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.62 +Kolmogorov-Smirnov+ statistic = D+ : 0.057 +p-value of test : 0.91 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.62 +Kolmogorov-Smirnov- statistic = D- : 0.35 +p-value of test : 0.07 -Anderson-Darling statistic = A2 : 0.32 -p-value of test : 0.92 +Anderson-Darling statistic = A2 : 1.07 +p-value of test : 0.32 Tests on the sum of all N observations -Standardized normal statistic : -0.13 -p-value of test : 0.55 +Standardized normal statistic : 1.07 +p-value of test : 0.14 -Sample variance : 0.59 -p-value of test : 0.81 +Sample variance : 0.71 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:00:56.21 +CPU time used : 00:01:03.34 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.37 -p-value of test : 0.05 +Kolmogorov-Smirnov+ statistic = D+ : 0.25 +p-value of test : 0.26 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.72 +Kolmogorov-Smirnov- statistic = D- : 0.096 +p-value of test : 0.78 -Anderson-Darling statistic = A2 : 0.97 -p-value of test : 0.37 +Anderson-Darling statistic = A2 : 0.64 +p-value of test : 0.61 Tests on the sum of all N observations -Standardized normal statistic : -0.78 -p-value of test : 0.78 +Standardized normal statistic : -0.33 +p-value of test : 0.63 -Sample variance : 1.09 -p-value of test : 0.36 +Sample variance : 1.38 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:00:58.23 +CPU time used : 00:01:04.44 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 7.37e-3 -p-value of test : 0.64 +Kolmogorov-Smirnov+ statistic = D+ : 6.75e-3 +p-value of test : 0.69 -Kolmogorov-Smirnov- statistic = D- : 6.01e-3 -p-value of test : 0.74 +Kolmogorov-Smirnov- statistic = D- : 0.013 +p-value of test : 0.26 -Anderson-Darling statistic = A2 : 0.33 -p-value of test : 0.91 +Anderson-Darling statistic = A2 : 1.01 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:00:51.54 +CPU time used : 00:00:50.56 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 2.47e-3 -p-value of test : 0.95 +Kolmogorov-Smirnov+ statistic = D+ : 7.79e-3 +p-value of test : 0.61 -Kolmogorov-Smirnov- statistic = D- : 0.012 -p-value of test : 0.28 +Kolmogorov-Smirnov- statistic = D- : 0.011 +p-value of test : 0.34 -Anderson-Darling statistic = A2 : 0.90 -p-value of test : 0.42 +Anderson-Darling statistic = A2 : 0.67 +p-value of test : 0.58 ----------------------------------------------- -CPU time used : 00:00:45.78 +CPU time used : 00:00:47.53 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 3.22 -p-value of test : 0.92 +Chi-square statistic : 7.65 +p-value of test : 0.47 ----------------------------------------------- -Global longest run of 1 : 32.00 -p-value of test : 0.50 +Global longest run of 1 : 35.00 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:01:41.26 +CPU time used : 00:01:49.43 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 4.57 -p-value of test : 0.80 +Chi-square statistic : 7.00 +p-value of test : 0.54 ----------------------------------------------- -Global longest run of 1 : 31.00 -p-value of test : 0.69 +Global longest run of 1 : 35.00 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:01:44.21 +CPU time used : 00:01:53.04 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.37 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.64 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.62 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.72 -Anderson-Darling statistic = A2 : 0.49 -p-value of test : 0.75 +Anderson-Darling statistic = A2 : 0.25 +p-value of test : 0.97 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 193.43 -p-value of test : 0.62 +Chi-square statistic : 200.50 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:02:54.20 +CPU time used : 00:03:22.34 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.23 -p-value of test : 0.30 +Kolmogorov-Smirnov+ statistic = D+ : 0.039 +p-value of test : 0.95 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.68 +Kolmogorov-Smirnov- statistic = D- : 0.36 +p-value of test : 0.06 -Anderson-Darling statistic = A2 : 0.82 -p-value of test : 0.47 +Anderson-Darling statistic = A2 : 2.61 +p-value of test : 0.04 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 190.31 -p-value of test : 0.68 +Chi-square statistic : 242.08 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:02:55.17 +CPU time used : 00:03:06.88 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.49 +Kolmogorov-Smirnov+ statistic = D+ : 0.36 +p-value of test : 0.05 -Kolmogorov-Smirnov- statistic = D- : 0.100 -p-value of test : 0.77 +Kolmogorov-Smirnov- statistic = D- : 0.030 +p-value of test : 0.96 -Anderson-Darling statistic = A2 : 0.60 -p-value of test : 0.64 +Anderson-Darling statistic = A2 : 1.96 +p-value of test : 0.10 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10029.78 -p-value of test : 0.41 +Chi-square statistic : 9743.78 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:01:12.93 +CPU time used : 00:01:14.42 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.31 -p-value of test : 0.13 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.46 -Kolmogorov-Smirnov- statistic = D- : 5.32e-3 -p-value of test : 0.9944 +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.43 -Anderson-Darling statistic = A2 : 1.20 -p-value of test : 0.26 +Anderson-Darling statistic = A2 : 0.58 +p-value of test : 0.66 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9787.13 -p-value of test : 0.93 +Chi-square statistic :10003.07 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:01:15.80 +CPU time used : 00:01:18.79 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.098 -p-value of test : 0.54 +Normal statistic : -1.09 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:01:27.15 +CPU time used : 00:01:32.42 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.28 -p-value of test : 0.39 +Normal statistic : 1.46 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:01:20.55 +CPU time used : 00:01:30.09 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.075 -p-value of test : 0.53 +Normal statistic : -0.66 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:05:01.05 +CPU time used : 00:05:46.17 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.067 -p-value of test : 0.88 +Kolmogorov-Smirnov+ statistic = D+ : 0.42 +p-value of test : 0.02 -Kolmogorov-Smirnov- statistic = D- : 0.28 -p-value of test : 0.17 +Kolmogorov-Smirnov- statistic = D- : 0.046 +p-value of test : 0.93 -Anderson-Darling statistic = A2 : 0.98 -p-value of test : 0.37 +Anderson-Darling statistic = A2 : 2.92 +p-value of test : 0.03 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4993.83 -p-value of test : 0.15 +Chi-square statistic : 4680.02 +p-value of test : 0.98 ----------------------------------------------- -CPU time used : 00:02:15.25 +CPU time used : 00:02:36.11 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.65 +Kolmogorov-Smirnov+ statistic = D+ : 0.087 +p-value of test : 0.81 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.55 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.69 -Anderson-Darling statistic = A2 : 0.28 -p-value of test : 0.95 +Anderson-Darling statistic = A2 : 0.20 +p-value of test : 0.9908 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4893.61 -p-value of test : 0.48 +Chi-square statistic : 4899.40 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:02:16.50 +CPU time used : 00:02:35.61 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 : 4187.74 -p-value of test : 0.22 +Chi-square statistic : 4090.47 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:01:36.47 +CPU time used : 00:01:45.16 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 : 3949.55 -p-value of test : 0.97 +Chi-square statistic : 4071.59 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:40.15 +CPU time used : 00:01:55.20 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 :11614.61 -p-value of test : 0.91 +Chi-square statistic
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