http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/src/site/resources/txt/userguide/stress/tu/run_2/tu_13 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_2/tu_13 b/src/site/resources/txt/userguide/stress/tu/run_2/tu_13 index 5f00b96..9f8f86a 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_2/tu_13 +++ b/src/site/resources/txt/userguide/stress/tu/run_2/tu_13 @@ -1,12 +1,12 @@ # -# RNG: org.apache.commons.math4.rng.internal.source64.TwoCmres (Cmres: [0xedce446814d3b3d9L, 33, 330658535] + Cmres: [0xc5b3cf786c806df7L, 33, 331932042]) +# RNG: org.apache.commons.rng.internal.source64.TwoCmres (Cmres: [0xedce446814d3b3d9L, 33, 330658535] + Cmres: [0xc5b3cf786c806df7L, 33, 331932042]) # # Java: 1.8.0_66 # Runtime: 1.8.0_66-b17 # JVM: Java HotSpot(TM) 64-Bit Server VM 25.66-b17 # OS: Linux 3.16.0-4-amd64 amd64 # -# Analyzer: ../stdin2testu01 BigCrush +# Analyzer: ./stdin2testu01 BigCrush # xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting BigCrush @@ -46,7 +46,7 @@ p-value of test : 0.84 ----------------------------------------------- -CPU time used : 00:03:06.34 +CPU time used : 00:02:03.65 Generator state: N/A @@ -81,11 +81,11 @@ Test Results for Delta = 1.0000 Number of degrees of freedom : 16711680 Value of the statistic : 1.67e+7 -p-value of test : 0.89 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:02:55.87 +CPU time used : 00:02:35.29 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 : 1370 -p-value of test : 0.44 +Observed number of collisions : 1388 +p-value of test : 0.26 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334490 - j = 1 : 599997260 - j = 2 : 1370 + j = 0 : 131940795334508 + j = 1 : 599997224 + j = 2 : 1388 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:36.64 +CPU time used : 00:05:52.92 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 : 1361 -p-value of test : 0.53 +Observed number of collisions : 1331 +p-value of test : 0.81 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334481 - j = 1 : 599997278 - j = 2 : 1361 + j = 0 : 131940795334451 + j = 1 : 599997338 + j = 2 : 1331 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:03.62 +CPU time used : 00:05:13.42 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 : 1339 -p-value of test : 0.75 +Observed number of collisions : 1349 +p-value of test : 0.65 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334459 - j = 1 : 599997322 - j = 2 : 1339 + j = 0 : 131940795334469 + j = 1 : 599997302 + j = 2 : 1349 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:55.20 +CPU time used : 00:07:31.08 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 : 1368 -p-value of test : 0.46 +Observed number of collisions : 1316 +p-value of test : 0.90 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334488 - j = 1 : 599997264 - j = 2 : 1368 + j = 0 : 131940795334436 + j = 1 : 599997368 + j = 2 : 1316 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:38.56 +CPU time used : 00:05:00.67 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 : 1376 -p-value of test : 0.38 +Observed number of collisions : 1356 +p-value of test : 0.58 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334496 - j = 1 : 599997248 - j = 2 : 1376 + j = 0 : 131940795334476 + j = 1 : 599997288 + j = 2 : 1356 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:14.90 +CPU time used : 00:05:38.20 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 : 1407 -p-value of test : 0.13 +Observed number of collisions : 1349 +p-value of test : 0.65 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334527 - j = 1 : 599997186 - j = 2 : 1407 + j = 0 : 131940795334469 + j = 1 : 599997302 + j = 2 : 1349 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:27.09 +CPU time used : 00:05:07.23 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 : 1364 -p-value of test : 0.50 +Observed number of collisions : 1363 +p-value of test : 0.51 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334484 - j = 1 : 599997272 - j = 2 : 1364 + j = 0 : 131940795334483 + j = 1 : 599997274 + j = 2 : 1363 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:00.32 +CPU time used : 00:05:01.03 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 : 1411 -p-value of test : 0.11 +Observed number of collisions : 1372 +p-value of test : 0.42 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334531 - j = 1 : 599997178 - j = 2 : 1411 + j = 0 : 131940795334492 + j = 1 : 599997256 + j = 2 : 1372 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:32.71 +CPU time used : 00:05:04.80 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 : 1414 -p-value of test : 0.09 +Observed number of collisions : 1318 +p-value of test : 0.89 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334534 - j = 1 : 599997172 - j = 2 : 1414 + j = 0 : 131940795334438 + j = 1 : 599997364 + j = 2 : 1318 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:59.82 +CPU time used : 00:04:44.28 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 : 1344 -p-value of test : 0.70 +Observed number of collisions : 1354 +p-value of test : 0.60 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334464 - j = 1 : 599997312 - j = 2 : 1344 + j = 0 : 131940795334474 + j = 1 : 599997292 + j = 2 : 1354 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:32.36 +CPU time used : 00:04:36.63 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5376 -p-value of test : 0.73 +Total observed number : 5393 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:05:14.64 +CPU time used : 00:04:20.42 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4141 -p-value of test : 0.9986 +Total observed number : 4170 +p-value of test : 0.9944 ----------------------------------------------- -CPU time used : 00:02:18.63 +CPU time used : 00:01:53.86 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7327 -p-value of test : 0.46 +Total observed number : 7314 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:03:56.06 +CPU time used : 00:03:13.38 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4375 -p-value of test : 0.28 +Total observed number : 4269 +p-value of test : 0.85 ----------------------------------------------- -CPU time used : 00:02:52.60 +CPU time used : 00:02:17.60 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4444 -p-value of test : 0.05 +Total observed number : 4248 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:03:00.26 +CPU time used : 00:02:24.43 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7440 -p-value of test : 0.08 +Total observed number : 7331 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:04:23.22 +CPU time used : 00:03:58.64 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7403 -p-value of test : 0.16 +Total observed number : 7319 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:04:07.19 +CPU time used : 00:03:53.38 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7415 -p-value of test : 0.13 +Total observed number : 7333 +p-value of test : 0.43 ----------------------------------------------- -CPU time used : 00:05:23.31 +CPU time used : 00:05:11.64 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7333 -p-value of test : 0.43 +Total observed number : 7352 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:05:49.56 +CPU time used : 00:05:44.02 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) : 1.14 -p-value of test : 0.29 +Stat. AD on the N values (NP) : 1.29 +p-value of test : 0.24 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) : 0.74 -p-value of test : 0.52 +A2 test on the values of A2 (m-NP) : 0.96 +p-value of test : 0.38 -Test on the Nm values of W_{n,i}(mNP1): 0.98 -p-value of test : 0.37 +Test on the Nm values of W_{n,i}(mNP1): 1.04 +p-value of test : 0.34 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 915 -p-value of test : 0.31 +Number of jumps of Y : 894 +p-value of test : 0.57 -Stat. AD (mNP2) : 0.91 -p-value of test : 0.41 +Stat. AD (mNP2) : 1.33 +p-value of test : 0.22 -Stat. AD after spacings (mNP2-S) : 0.70 -p-value of test : 0.56 +Stat. AD after spacings (mNP2-S) : 0.43 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:03:18.84 +CPU time used : 00:03:07.81 Generator state: N/A @@ -935,34 +935,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.96 -p-value of test : 0.38 +Stat. AD on the N values (NP) : 1.53 +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) : 0.92 -p-value of test : 0.40 +A2 test on the values of A2 (m-NP) : 0.88 +p-value of test : 0.43 -Test on the Nm values of W_{n,i}(mNP1): 0.40 -p-value of test : 0.85 +Test on the Nm values of W_{n,i}(mNP1): 1.36 +p-value of test : 0.21 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 591 -p-value of test : 0.63 +Number of jumps of Y : 631 +p-value of test : 0.11 -Stat. AD (mNP2) : 0.94 -p-value of test : 0.39 +Stat. AD (mNP2) : 0.32 +p-value of test : 0.93 -Stat. AD after spacings (mNP2-S) : 1.24 -p-value of test : 0.25 +Stat. AD after spacings (mNP2-S) : 0.79 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:02:02.92 +CPU time used : 00:02:00.97 Generator state: N/A @@ -983,34 +983,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 2.17 -p-value of test : 0.08 +Stat. AD on the N values (NP) : 0.76 +p-value of test : 0.51 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 0.96 -p-value of test : 0.38 +A2 test on the values of A2 (m-NP) : 0.39 +p-value of test : 0.85 -Test on the Nm values of W_{n,i}(mNP1): 0.35 -p-value of test : 0.90 +Test on the Nm values of W_{n,i}(mNP1): 1.80 +p-value of test : 0.12 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 : 321 +p-value of test : 0.12 -Stat. AD (mNP2) : 3.46 -p-value of test : 0.02 +Stat. AD (mNP2) : 2.14 +p-value of test : 0.08 -Stat. AD after spacings (mNP2-S) : 0.74 -p-value of test : 0.53 +Stat. AD after spacings (mNP2-S) : 1.04 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:03:11.42 +CPU time used : 00:02:59.64 Generator state: N/A @@ -1031,34 +1031,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 1.09 -p-value of test : 0.31 +Stat. AD on the N values (NP) : 1.40 +p-value of test : 0.20 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) : 1.38 -p-value of test : 0.21 +A2 test on the values of A2 (m-NP) : 0.45 +p-value of test : 0.79 -Test on the Nm values of W_{n,i}(mNP1): 0.29 -p-value of test : 0.94 +Test on the Nm values of W_{n,i}(mNP1): 0.38 +p-value of test : 0.87 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 146 -p-value of test : 0.61 +Number of jumps of Y : 148 +p-value of test : 0.54 -Stat. AD (mNP2) : 1.13 -p-value of test : 0.29 +Stat. AD (mNP2) : 0.30 +p-value of test : 0.93 -Stat. AD after spacings (mNP2-S) : 1.20 -p-value of test : 0.27 +Stat. AD after spacings (mNP2-S) : 0.70 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:03:31.68 +CPU time used : 00:03:16.28 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 9.83 -p-value of test : 0.20 +Chi-square statistic : 6.20 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:01:19.02 +CPU time used : 00:01:20.09 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 2.31 -p-value of test : 0.94 +Chi-square statistic : 8.25 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:01:34.59 +CPU time used : 00:01:27.65 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 25.18 -p-value of test : 0.12 +Chi-square statistic : 16.67 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:01:20.76 +CPU time used : 00:01:19.77 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 10.90 -p-value of test : 0.90 +Chi-square statistic : 26.57 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:01:35.32 +CPU time used : 00:01:35.67 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 46.40 -p-value of test : 0.76 +Chi-square statistic : 53.36 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:01:44.93 +CPU time used : 00:01:48.15 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 60.02 -p-value of test : 0.27 +Chi-square statistic : 53.96 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:02:01.72 +CPU time used : 00:02:03.50 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 69.29 -p-value of test : 0.08 +Chi-square statistic : 50.88 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:02:01.98 +CPU time used : 00:02:02.03 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 46.23 -p-value of test : 0.76 +Chi-square statistic : 38.49 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:02:03.13 +CPU time used : 00:01:56.07 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 230.74 -p-value of test : 0.51 +Chi-square statistic : 260.38 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:02:14.12 +CPU time used : 00:02:18.80 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 376.76 -p-value of test : 0.98 +Chi-square statistic : 417.54 +p-value of test : 0.71 ----------------------------------------------- -CPU time used : 00:03:09.17 +CPU time used : 00:03:18.22 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1422.55 -p-value of test : 0.60 +Chi-square statistic : 1394.87 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:03:18.94 +CPU time used : 00:03:37.06 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7056.36 -p-value of test : 0.46 +Chi-square statistic : 6888.38 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:03:16.06 +CPU time used : 00:03:40.92 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.59 -p-value of test : 0.02 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.85 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.81 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.58 -Anderson-Darling statistic = A2 : 2.88 -p-value of test : 0.03 +Anderson-Darling statistic = A2 : 0.31 +p-value of test : 0.93 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 15.90 -p-value of test : 0.98 +Chi-square statistic : 32.75 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:01:44.78 +CPU time used : 00:01:52.06 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.49 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.73 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.45 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.63 -Anderson-Darling statistic = A2 : 0.55 -p-value of test : 0.70 +Anderson-Darling statistic = A2 : 0.23 +p-value of test : 0.98 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 63.06 -p-value of test : 0.37 +Chi-square statistic : 60.44 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:04:14.85 +CPU time used : 00:04:29.22 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 : 4.11 -p-value of test : 0.53 +Value of the statistic : 2.29 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:01:16.60 +CPU time used : 00:01:17.10 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 : 133.69 -p-value of test : 0.17 +Value of the statistic : 118.35 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:02:13.42 +CPU time used : 00:02:02.54 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 : 4988.80 -p-value of test : 0.69 +Value of the statistic : 5111.79 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:01:34.30 +CPU time used : 00:01:24.75 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 : 0.38 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:03:02.43 +CPU time used : 00:03:05.55 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 : 46190 -p-value of test : 0.07 +Observed number of collisions : 45756 +p-value of test : 0.72 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165870190 - j = 1 : 399907622 - j = 2 : 46186 - j = 3 : 2 + j = 0 : 1743165869756 + j = 1 : 399908493 + j = 2 : 45746 + j = 3 : 5 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:31.00 +CPU time used : 00:04:32.72 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 : 45758 -p-value of test : 0.71 +Observed number of collisions : 45834 +p-value of test : 0.58 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869758 - j = 1 : 399908485 - j = 2 : 45756 - j = 3 : 1 + j = 0 : 1743165869834 + j = 1 : 399908335 + j = 2 : 45828 + j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:53.20 +CPU time used : 00:04:18.42 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 : 0.06 +Kolmogorov-Smirnov+ statistic = D+ : 0.065 +p-value of test : 0.68 -Kolmogorov-Smirnov- statistic = D- : 1.74e-3 -p-value of test : 0.9981 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.28 -Anderson-Darling statistic = A2 : 2.06 -p-value of test : 0.09 +Anderson-Darling statistic = A2 : 0.48 +p-value of test : 0.77 Test on the sum of all N observations Number of degrees of freedom : 3999960 -Chi-square statistic : 3.99e+6 -p-value of test : 0.98 +Chi-square statistic : 4.00e+6 +p-value of test : 0.30 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.019 -p-value of test : 0.96 +Kolmogorov-Smirnov+ statistic = D+ : 0.094 +p-value of test : 0.46 -Kolmogorov-Smirnov- statistic = D- : 0.24 -p-value of test : 8.4e-3 +Kolmogorov-Smirnov- statistic = D- : 0.078 +p-value of test : 0.59 -Anderson-Darling statistic = A2 : 3.74 -p-value of test : 0.01 +Anderson-Darling statistic = A2 : 0.45 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:03:35.30 +CPU time used : 00:03:17.25 Generator state: N/A @@ -1749,19 +1749,19 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.082 -p-value of test : 0.63 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.15 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.21 +Kolmogorov-Smirnov- statistic = D- : 0.028 +p-value of test : 0.94 -Anderson-Darling statistic = A2 : 1.02 -p-value of test : 0.35 +Anderson-Darling statistic = A2 : 1.50 +p-value of test : 0.18 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.16 +p-value of test : 0.91 ----------------------------------------------- @@ -1770,15 +1770,15 @@ Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.21 -Kolmogorov-Smirnov- statistic = D- : 0.070 -p-value of test : 0.71 +Kolmogorov-Smirnov- statistic = D- : 0.064 +p-value of test : 0.75 -Anderson-Darling statistic = A2 : 0.59 -p-value of test : 0.66 +Anderson-Darling statistic = A2 : 0.77 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:03:21.62 +CPU time used : 00:03:07.79 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.23 -p-value of test : 0.11 +Kolmogorov-Smirnov+ statistic = D+ : 0.023 +p-value of test : 0.96 -Kolmogorov-Smirnov- statistic = D- : 0.089 -p-value of test : 0.69 +Kolmogorov-Smirnov- statistic = D- : 0.36 +p-value of test : 4.3e-3 -Anderson-Darling statistic = A2 : 2.57 -p-value of test : 0.05 +Anderson-Darling statistic = A2 : 2.76 +p-value of test : 0.04 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.96 +p-value of test : 0.03 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.057 -p-value of test : 0.85 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.25 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.24 +Kolmogorov-Smirnov- statistic = D- : 0.080 +p-value of test : 0.74 -Anderson-Darling statistic = A2 : 0.82 -p-value of test : 0.46 +Anderson-Darling statistic = A2 : 0.48 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:02:35.27 +CPU time used : 00:02:28.63 Generator state: N/A @@ -1858,8 +1858,8 @@ Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.10 p-value of test : 0.62 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.52 +Kolmogorov-Smirnov- statistic = D- : 0.095 +p-value of test : 0.66 Anderson-Darling statistic = A2 : 0.26 p-value of test : 0.96 @@ -1867,24 +1867,24 @@ 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 : 0.41 +p-value of test : 0.62 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.22 +Kolmogorov-Smirnov+ statistic = D+ : 0.035 +p-value of test : 0.93 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.60 +Kolmogorov-Smirnov- statistic = D- : 0.24 +p-value of test : 0.09 -Anderson-Darling statistic = A2 : 1.27 -p-value of test : 0.24 +Anderson-Darling statistic = A2 : 1.37 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:02:59.26 +CPU time used : 00:02:53.62 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.069 -p-value of test : 0.65 +Kolmogorov-Smirnov+ statistic = D+ : 0.073 +p-value of test : 0.62 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.20 +Kolmogorov-Smirnov- statistic = D- : 0.057 +p-value of test : 0.74 -Anderson-Darling statistic = A2 : 0.78 -p-value of test : 0.49 +Anderson-Darling statistic = A2 : 0.25 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:02:28.42 +CPU time used : 00:02:25.51 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.18 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.20 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.35 +Kolmogorov-Smirnov- statistic = D- : 4.35e-3 +p-value of test : 0.9953 -Anderson-Darling statistic = A2 : 0.93 -p-value of test : 0.40 +Anderson-Darling statistic = A2 : 1.41 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:01:47.81 +CPU time used : 00:01:46.27 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.27 -p-value of test : 0.05 +Kolmogorov-Smirnov+ statistic = D+ : 0.035 +p-value of test : 0.93 -Kolmogorov-Smirnov- statistic = D- : 0.045 -p-value of test : 0.90 +Kolmogorov-Smirnov- statistic = D- : 0.23 +p-value of test : 0.10 -Anderson-Darling statistic = A2 : 2.07 -p-value of test : 0.08 +Anderson-Darling statistic = A2 : 1.72 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:02:19.95 +CPU time used : 00:02:19.00 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.67e-4 -p-value of test : 0.33 +Kolmogorov-Smirnov+ statistic = D+ : 2.00e-4 +p-value of test : 0.20 -Kolmogorov-Smirnov- statistic = D- : 1.21e-4 -p-value of test : 0.56 +Kolmogorov-Smirnov- statistic = D- : 1.02e-4 +p-value of test : 0.66 -Anderson-Darling statistic = A2 : 0.80 -p-value of test : 0.48 +Anderson-Darling statistic = A2 : 1.38 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:00:37.42 +CPU time used : 00:00:39.80 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 2.23e-4 -p-value of test : 0.14 +Kolmogorov-Smirnov+ statistic = D+ : 1.33e-4 +p-value of test : 0.49 -Kolmogorov-Smirnov- statistic = D- : 6.14e-5 -p-value of test : 0.86 +Kolmogorov-Smirnov- statistic = D- : 1.33e-4 +p-value of test : 0.49 -Anderson-Darling statistic = A2 : 0.97 -p-value of test : 0.37 +Anderson-Darling statistic = A2 : 0.37 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:00:34.64 +CPU time used : 00:00:35.55 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 1.34 -p-value of test : 0.09 +Normal statistic : -0.57 +p-value of test : 0.71 ----------------------------------------------- -CPU time used : 00:00:31.50 +CPU time used : 00:00:38.28 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.33 -p-value of test : 0.37 +Normal statistic : 0.19 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:00:31.36 +CPU time used : 00:00:36.93 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 0.47 -p-value of test : 0.32 +Normal statistic : -1.37 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:02:05.80 +CPU time used : 00:02:06.85 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 7.83e-3 -p-value of test : 0.50 +Normal statistic : 0.19 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:02:11.11 +CPU time used : 00:02:08.25 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 53.16 -p-value of test : 0.89 +Chi-square statistic : 69.68 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:01:29.59 +CPU time used : 00:01:25.68 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 51.17 -p-value of test : 0.92 +Chi-square statistic : 52.73 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:01:47.47 +CPU time used : 00:01:45.25 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 58.01 -p-value of test : 0.78 +Chi-square statistic : 50.70 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:01:47.92 +CPU time used : 00:01:50.78 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 21.25 -p-value of test : 0.98 +Chi-square statistic : 32.06 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:01:27.50 +CPU time used : 00:01:21.50 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 32.95 -p-value of test : 0.66 +Chi-square statistic : 35.24 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:01:44.52 +CPU time used : 00:01:39.79 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 39.82 -p-value of test : 0.35 +Chi-square statistic : 30.40 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:01:47.40 +CPU time used : 00:02:05.25 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 22.47 -p-value of test : 0.80 +Chi-square statistic : 25.11 +p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:02:54.06 +CPU time used : 00:02:47.62 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.054 -p-value of test : 0.91 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.50 -Kolmogorov-Smirnov- statistic = D- : 0.23 -p-value of test : 0.32 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.58 -Anderson-Darling statistic = A2 : 0.60 -p-value of test : 0.65 +Anderson-Darling statistic = A2 : 0.68 +p-value of test : 0.57 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 49.66 -p-value of test : 0.14 +Chi-square statistic : 35.78 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:01:20.60 +CPU time used : 00:01:26.64 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.025 -p-value of test : 0.97 +Kolmogorov-Smirnov+ statistic = D+ : 0.46 +p-value of test : 8.8e-3 -Kolmogorov-Smirnov- statistic = D- : 0.28 -p-value of test : 0.18 +Kolmogorov-Smirnov- statistic = D- : 0.100 +p-value of test : 0.77 -Anderson-Darling statistic = A2 : 1.16 -p-value of test : 0.28 +Anderson-Darling statistic = A2 : 3.68 +p-value of test : 0.01 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 51.62 -p-value of test : 0.10 +Chi-square statistic : 36.79 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:01:20.96 +CPU time used : 00:01:27.25 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 3.38 -p-value of test : 0.34 +Chi-square statistic : 4.18 +p-value of test : 0.24 ----------------------------------------------- -CPU time used : 00:02:11.04 +CPU time used : 00:02:25.21 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 6.63 -p-value of test : 0.08 +Chi-square statistic : 7.47 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:02:13.31 +CPU time used : 00:02:38.25 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.76 -p-value of test : 0.69 +Chi-square statistic : 3.22 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:01:32.62 +CPU time used : 00:01:32.85 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 1.47 -p-value of test : 0.48 +Chi-square statistic : 0.27 +p-value of test : 0.87 ----------------------------------------------- -CPU time used : 00:01:17.26 +CPU time used : 00:01:18.87 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.60 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.65 -Kolmogorov-Smirnov- statistic = D- : 0.23 -p-value of test : 0.30 +Kolmogorov-Smirnov- statistic = D- : 0.31 +p-value of test : 0.12 -Anderson-Darling statistic = A2 : 0.55 -p-value of test : 0.70 +Anderson-Darling statistic = A2 : 0.75 +p-value of test : 0.51 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 129.71 -p-value of test : 0.49 +Chi-square statistic : 137.88 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:01:04.40 +CPU time used : 00:00:59.25 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.35 -p-value of test : 0.07 +Kolmogorov-Smirnov+ statistic = D+ : 0.44 +p-value of test : 0.01 -Kolmogorov-Smirnov- statistic = D- : 0.074 -p-value of test : 0.86 +Kolmogorov-Smirnov- statistic = D- : 0.096 +p-value of test : 0.78 -Anderson-Darling statistic = A2 : 1.32 -p-value of test : 0.23 +Anderson-Darling statistic = A2 : 1.87 +p-value of test : 0.11 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17205.51 -p-value of test : 0.89 +Chi-square statistic :17179.73 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:01:52.77 +CPU time used : 00:01:55.36 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 : 58.48 -p-value of test : 0.01 +ChiSquare statistic : 39.11 +p-value of test : 0.33 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 35.23 -p-value of test : 0.46 +ChiSquare statistic : 47.55 +p-value of test : 0.08 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 28.30 -p-value of test : 0.29 +ChiSquare statistic : 25.06 +p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 19.01 -p-value of test : 0.75 +ChiSquare statistic : 28.54 +p-value of test : 0.24 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 17.04 -p-value of test : 0.45 +ChiSquare statistic : 18.48 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:00:51.52 +CPU time used : 00:00:45.01 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 : 39.42 -p-value of test : 0.32 +ChiSquare statistic : 40.57 +p-value of test : 0.28 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 24.57 -p-value of test : 0.91 +ChiSquare statistic : 38.93 +p-value of test : 0.30 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 24.13 -p-value of test : 0.51 +ChiSquare statistic : 29.19 +p-value of test : 0.26 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 12.97 -p-value of test : 0.97 +ChiSquare statistic : 27.49 +p-value of test : 0.28 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 27.28 -p-value of test : 0.05 +ChiSquare statistic : 22.56 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:00:51.26 +CPU time used : 00:00:45.73 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 : 123.28 -p-value of test : 0.91 +ChiSquare statistic : 147.08 +p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 156.61 -p-value of test : 0.26 +ChiSquare statistic : 156.11 +p-value of test : 0.27 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 440.09 -p-value of test : 0.97 +ChiSquare statistic : 469.91 +p-value of test : 0.83 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 114.23 -p-value of test : 0.91 +ChiSquare statistic : 122.54 +p-value of test : 0.79 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 79.06 -p-value of test : 0.32 +ChiSquare statistic : 75.56 +p-value of test : 0.43 ----------------------------------------------- -CPU time used : 00:00:59.95 +CPU time used : 00:00:56.73 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 : 158.33 -p-value of test : 0.23 +ChiSquare statistic : 140.10 +p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 127.01 -p-value of test : 0.87 +ChiSquare statistic : 162.67 +p-value of test : 0.16 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 464.02 -p-value of test : 0.87 +ChiSquare statistic : 446.94 +p-value of test : 0.96 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 114.99 -p-value of test : 0.90 +ChiSquare statistic : 123.20 +p-value of test : 0.78 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 72.06 -p-value of test : 0.54 +ChiSquare statistic : 52.79 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:01:00.42 +CPU time used : 00:00:54.42 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 : 359.92 -p-value of test : 0.81 +ChiSquare statistic : 402.62 +p-value of test : 0.25 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 352.58 -p-value of test : 0.87 +ChiSquare statistic : 376.78 +p-value of test : 0.59 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5000.61 -p-value of test : 0.49 +ChiSquare statistic : 4799.78 +p-value of test : 0.98 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 413.63 -p-value of test : 0.10 +ChiSquare statistic : 409.43 +p-value of test : 0.13 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 228.10 -p-value of test : 0.08 +ChiSquare statistic : 198.00 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:00:53.12 +CPU time used : 00:00:45.61 Generator state: N/A @@ -2868,44 +2868,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 384 -ChiSquare statistic : 379.37 -p-value of test : 0.56 +ChiSquare statistic : 389.84 +p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 392.10 -p-value of test : 0.38 +ChiSquare statistic : 381.48 +p-value of test : 0.53 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5051.38 -p-value of test : 0.30 +ChiSquare statistic : 4982.38 +p-value of test : 0.57 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 369.27 -p-value of test : 0.62 +ChiSquare statistic : 353.75 +p-value of test : 0.81 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 213.46 -p-value of test : 0.24 +ChiSquare statistic : 217.22 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:00:54.94 +CPU time used : 00:00:45.35 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 12.16 -p-value of test : 0.43 +Chi2 statistic for size of jumps : 4.40 +p-value of test : 0.98 ----------------------------------------------- -Normal statistic for number of jumps : -0.56 -p-value of test : 0.71 +Normal statistic for number of jumps : -0.57 +p-value of test : 0.72 ----------------------------------------------- -CPU time used : 00:02:23.38 +CPU time used : 00:02:23.30 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 11.81 -p-value of test : 0.46 +Chi2 statistic for size of jumps : 8.54 +p-value of test : 0.74 ----------------------------------------------- -Normal statistic for number of jumps : 1.32 -p-value of test : 0.09 +Normal statistic for number of jumps : 1.01 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:02:23.55 +CPU time used : 00:02:23.03 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.40 -p-value of test : 0.03 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.36 -Kolmogorov-Smirnov- statistic = D- : 1.65e-3 -p-value of test : 0.9983 +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.25 -Anderson-Darling statistic = A2 : 3.75 -p-value of test : 0.01 +Anderson-Darling statistic = A2 : 0.92 +p-value of test : 0.40 Tests on the sum of all N observations -Standardized normal statistic : -2.84 -p-value of test : 0.9978 +Standardized normal statistic : 0.55 +p-value of test : 0.29 -Sample variance : 1.30 -p-value of test : 0.23 +Sample variance : 1.48 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:00:55.71 +CPU time used : 00:00:59.62 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.47 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.63 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.45 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.73 -Anderson-Darling statistic = A2 : 0.72 -p-value of test : 0.54 +Anderson-Darling statistic = A2 : 0.27 +p-value of test : 0.96 Tests on the sum of all N observations -Standardized normal statistic : 0.28 -p-value of test : 0.39 +Standardized normal statistic : -0.32 +p-value of test : 0.62 -Sample variance : 1.48 -p-value of test : 0.15 +Sample variance : 1.42 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:00:57.69 +CPU time used : 00:01:05.12 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 7.13e-3 -p-value of test : 0.66 +Kolmogorov-Smirnov+ statistic = D+ : 6.32e-3 +p-value of test : 0.72 -Kolmogorov-Smirnov- statistic = D- : 0.014 -p-value of test : 0.19 +Kolmogorov-Smirnov- statistic = D- : 0.013 +p-value of test : 0.25 -Anderson-Darling statistic = A2 : 0.69 -p-value of test : 0.56 +Anderson-Darling statistic = A2 : 0.77 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:00:48.26 +CPU time used : 00:00:48.09 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 3.30e-3 -p-value of test : 0.91 +Kolmogorov-Smirnov+ statistic = D+ : 0.010 +p-value of test : 0.41 -Kolmogorov-Smirnov- statistic = D- : 0.017 -p-value of test : 0.08 +Kolmogorov-Smirnov- statistic = D- : 4.94e-3 +p-value of test : 0.82 -Anderson-Darling statistic = A2 : 1.71 -p-value of test : 0.13 +Anderson-Darling statistic = A2 : 0.38 +p-value of test : 0.87 ----------------------------------------------- -CPU time used : 00:00:47.23 +CPU time used : 00:00:45.54 Generator state: N/A @@ -3123,8 +3123,8 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 10.28 -p-value of test : 0.25 +Chi-square statistic : 4.99 +p-value of test : 0.76 ----------------------------------------------- Global longest run of 1 : 32.00 @@ -3133,7 +3133,7 @@ p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:01:43.79 +CPU time used : 00:01:39.96 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 5.72 -p-value of test : 0.68 +Chi-square statistic : 7.81 +p-value of test : 0.45 ----------------------------------------------- -Global longest run of 1 : 32.00 -p-value of test : 0.50 +Global longest run of 1 : 31.00 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:48.60 +CPU time used : 00:01:43.87 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.53 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.54 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.51 +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.24 -Anderson-Darling statistic = A2 : 0.45 -p-value of test : 0.80 +Anderson-Darling statistic = A2 : 0.64 +p-value of test : 0.61 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 211.44 -p-value of test : 0.28 +Chi-square statistic : 212.04 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:03:05.36 +CPU time used : 00:02:53.48 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.37 +Kolmogorov-Smirnov+ statistic = D+ : 7.09e-3 +p-value of test : 0.9925 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.64 +Kolmogorov-Smirnov- statistic = D- : 0.32 +p-value of test : 0.11 -Anderson-Darling statistic = A2 : 0.40 -p-value of test : 0.84 +Anderson-Darling statistic = A2 : 1.60 +p-value of test : 0.15 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 193.08 -p-value of test : 0.62 +Chi-square statistic : 236.89 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:03:01.63 +CPU time used : 00:03:02.36 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.40 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.66 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.72 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.70 -Anderson-Darling statistic = A2 : 0.47 -p-value of test : 0.78 +Anderson-Darling statistic = A2 : 0.30 +p-value of test : 0.94 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9917.27 -p-value of test : 0.72 +Chi-square statistic :10025.02 +p-value of test : 0.43 ----------------------------------------------- -CPU time used : 00:01:09.42 +CPU time used : 00:01:14.29 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.27 -p-value of test : 0.19 +Kolmogorov-Smirnov+ statistic = D+ : 0.28 +p-value of test : 0.17 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.61 +Kolmogorov-Smirnov- statistic = D- : 0.020 +p-value of test : 0.98 -Anderson-Darling statistic = A2 : 0.58 -p-value of test : 0.67 +Anderson-Darling statistic = A2 : 0.89 +p-value of test : 0.41 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9925.58 -p-value of test : 0.70 +Chi-square statistic : 9826.05 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:01:11.10 +CPU time used : 00:01:16.42 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.41 -p-value of test : 0.34 +Normal statistic : -0.41 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:01:23.92 +CPU time used : 00:01:22.81 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.38 -p-value of test : 0.35 +Normal statistic : 1.89 +p-value of test : 0.03 ----------------------------------------------- -CPU time used : 00:01:19.85 +CPU time used : 00:01:20.67 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.57 -p-value of test : 0.71 +Normal statistic : 0.94 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:05:17.84 +CPU time used : 00:05:25.28 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.35 -p-value of test : 0.06 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.68 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.67 +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.25 -Anderson-Darling statistic = A2 : 1.68 -p-value of test : 0.14 +Anderson-Darling statistic = A2 : 0.67 +p-value of test : 0.58 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4769.49 -p-value of test : 0.89 +Chi-square statistic : 4907.23 +p-value of test : 0.43 ----------------------------------------------- -CPU time used : 00:02:17.51 +CPU time used : 00:02:06.44 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.53 +Kolmogorov-Smirnov+ statistic = D+ : 0.26 +p-value of test : 0.22 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.61 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.48 -Anderson-Darling statistic = A2 : 0.37 -p-value of test : 0.87 +Anderson-Darling statistic = A2 : 0.68 +p-value of test : 0.57 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4881.40 -p-value of test : 0.53 +Chi-square statistic : 4849.09 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:02:21.05 +CPU time used : 00:02:10.62 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 : 4244.56 -p-value of test : 0.08 +Chi-square statistic : 4119.40 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:01:40.54 +CPU time used : 00:01:34.95 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 : 4211.82 -p-value of test : 0.15 +Chi-square statistic : 4129.98 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:01:44.57 +CPU time used : 00:01:36.70 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 :11877.53 -p-value of test : 0.36 +Chi-square statistic :11652.90 +p-value of test : 0.87 ----------------------------------------------- -CPU time used : 00:01:47.2
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