http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/src/site/resources/txt/userguide/stress/tu/run_2/tu_10 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_2/tu_10 b/src/site/resources/txt/userguide/stress/tu/run_2/tu_10 index 19d9917..d7eaace 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_2/tu_10 +++ b/src/site/resources/txt/userguide/stress/tu/run_2/tu_10 @@ -1,12 +1,12 @@ # -# RNG: org.apache.commons.math4.rng.internal.source64.MersenneTwister64 +# RNG: org.apache.commons.rng.internal.source64.MersenneTwister64 # # Java: 1.8.0_66 # Runtime: 1.8.0_66-b17 # JVM: Java HotSpot(TM) 64-Bit Server VM 25.66-b17 # OS: Linux 3.16.0-4-amd64 amd64 # -# Analyzer: ../stdin2testu01 BigCrush +# Analyzer: ./stdin2testu01 BigCrush # xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting BigCrush @@ -42,11 +42,11 @@ Test Results for Delta = 1.0000 Number of degrees of freedom : 16711680 Value of the statistic : 1.67e+7 -p-value of test : 0.38 +p-value of test : 0.57 ----------------------------------------------- -CPU time used : 00:02:14.16 +CPU time used : 00:01:58.78 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 : 0.71 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:02:19.00 +CPU time used : 00:02:20.32 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 : 1386 -p-value of test : 0.28 +Observed number of collisions : 1407 +p-value of test : 0.13 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334506 - j = 1 : 599997228 - j = 2 : 1386 + j = 0 : 131940795334527 + j = 1 : 599997186 + j = 2 : 1407 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:00.67 +CPU time used : 00:05:10.01 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 : 1351 -p-value of test : 0.63 +Observed number of collisions : 1318 +p-value of test : 0.89 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334471 - j = 1 : 599997298 - j = 2 : 1351 + j = 0 : 131940795334438 + j = 1 : 599997364 + j = 2 : 1318 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:08.62 +CPU time used : 00:04:47.52 Generator state: N/A @@ -227,21 +227,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1347 -p-value of test : 0.67 +Observed number of collisions : 1324 +p-value of test : 0.86 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334467 - j = 1 : 599997306 - j = 2 : 1347 + j = 0 : 131940795334444 + j = 1 : 599997352 + j = 2 : 1324 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:24.27 +CPU time used : 00:05:47.19 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 : 1356 -p-value of test : 0.58 +Observed number of collisions : 1288 +p-value of test : 0.98 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334476 - j = 1 : 599997288 - j = 2 : 1356 + j = 0 : 131940795334408 + j = 1 : 599997424 + j = 2 : 1288 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:55.15 +CPU time used : 00:05:27.53 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 : 1401 -p-value of test : 0.16 +Observed number of collisions : 1374 +p-value of test : 0.40 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334521 - j = 1 : 599997198 - j = 2 : 1401 + j = 0 : 131940795334494 + j = 1 : 599997252 + j = 2 : 1374 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:21.53 +CPU time used : 00:05:25.58 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 : 1397 -p-value of test : 0.19 +Observed number of collisions : 1405 +p-value of test : 0.14 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334517 - j = 1 : 599997206 - j = 2 : 1397 + j = 0 : 131940795334525 + j = 1 : 599997190 + j = 2 : 1405 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:01.59 +CPU time used : 00:05:08.59 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 : 1376 -p-value of test : 0.38 +Observed number of collisions : 1434 +p-value of test : 0.03 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334496 - j = 1 : 599997248 - j = 2 : 1376 + j = 0 : 131940795334554 + j = 1 : 599997132 + j = 2 : 1434 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:12.44 +CPU time used : 00:05:11.88 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 : 1402 -p-value of test : 0.16 +Observed number of collisions : 1334 +p-value of test : 0.79 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334522 - j = 1 : 599997196 - j = 2 : 1402 + j = 0 : 131940795334454 + j = 1 : 599997332 + j = 2 : 1334 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:13.73 +CPU time used : 00:08:09.92 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 : 1334 -p-value of test : 0.79 +Observed number of collisions : 1330 +p-value of test : 0.82 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334454 - j = 1 : 599997332 - j = 2 : 1334 + j = 0 : 131940795334450 + j = 1 : 599997340 + j = 2 : 1330 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:55.46 +CPU time used : 00:07:32.59 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 : 1319 -p-value of test : 0.89 +Observed number of collisions : 1345 +p-value of test : 0.69 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334439 - j = 1 : 599997362 - j = 2 : 1319 + j = 0 : 131940795334465 + j = 1 : 599997310 + j = 2 : 1345 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:21.34 +CPU time used : 00:07:44.03 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5459 -p-value of test : 0.30 +Total observed number : 5563 +p-value of test : 0.03 ----------------------------------------------- -CPU time used : 00:05:16.93 +CPU time used : 00:05:13.53 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4278 -p-value of test : 0.81 +Total observed number : 4446 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:02:20.75 +CPU time used : 00:02:15.01 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7232 -p-value of test : 0.84 +Total observed number : 7453 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:03:56.39 +CPU time used : 00:03:48.97 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4376 -p-value of test : 0.28 +Total observed number : 4457 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:02:54.86 +CPU time used : 00:02:40.64 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4374 -p-value of test : 0.29 +Total observed number : 4354 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:02:59.56 +CPU time used : 00:02:46.25 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7293 -p-value of test : 0.61 +Total observed number : 7314 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:04:18.26 +CPU time used : 00:04:11.86 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7239 -p-value of test : 0.82 +Total observed number : 7453 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:04:02.64 +CPU time used : 00:04:04.40 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7409 -p-value of test : 0.15 +Total observed number : 7312 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:05:06.46 +CPU time used : 00:04:57.27 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7302 -p-value of test : 0.57 +Total observed number : 7386 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:05:39.17 +CPU time used : 00:05:16.93 Generator state: N/A @@ -887,34 +887,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.79 -p-value of test : 0.49 +Stat. AD on the N values (NP) : 0.67 +p-value of test : 0.59 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) : 0.97 -p-value of test : 0.37 +A2 test on the values of A2 (m-NP) : 0.55 +p-value of test : 0.69 -Test on the Nm values of W_{n,i}(mNP1): 0.96 -p-value of test : 0.38 +Test on the Nm values of W_{n,i}(mNP1): 0.46 +p-value of test : 0.79 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 946 -p-value of test : 0.07 +Number of jumps of Y : 921 +p-value of test : 0.25 -Stat. AD (mNP2) : 0.91 -p-value of test : 0.41 +Stat. AD (mNP2) : 0.51 +p-value of test : 0.74 -Stat. AD after spacings (mNP2-S) : 0.45 -p-value of test : 0.79 +Stat. AD after spacings (mNP2-S) : 2.41 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:03:25.78 +CPU time used : 00:03:09.18 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) : 0.68 -p-value of test : 0.57 +Stat. AD on the N values (NP) : 0.37 +p-value of test : 0.88 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 0.81 -p-value of test : 0.47 +A2 test on the values of A2 (m-NP) : 0.91 +p-value of test : 0.41 -Test on the Nm values of W_{n,i}(mNP1): 1.01 -p-value of test : 0.35 +Test on the Nm values of W_{n,i}(mNP1): 0.51 +p-value of test : 0.74 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 647 -p-value of test : 0.03 +Number of jumps of Y : 606 +p-value of test : 0.41 -Stat. AD (mNP2) : 0.26 -p-value of test : 0.96 +Stat. AD (mNP2) : 0.85 +p-value of test : 0.44 -Stat. AD after spacings (mNP2-S) : 0.22 -p-value of test : 0.98 +Stat. AD after spacings (mNP2-S) : 0.47 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:02:09.82 +CPU time used : 00:02:01.61 Generator state: N/A @@ -983,34 +983,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.58 -p-value of test : 0.67 +Stat. AD on the N values (NP) : 0.23 +p-value of test : 0.98 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) : 1.88 -p-value of test : 0.11 +A2 test on the values of A2 (m-NP) : 0.61 +p-value of test : 0.64 -Test on the Nm values of W_{n,i}(mNP1): 0.22 -p-value of test : 0.99 +Test on the Nm values of W_{n,i}(mNP1): 0.58 +p-value of test : 0.67 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 286 -p-value of test : 0.78 +Number of jumps of Y : 279 +p-value of test : 0.88 -Stat. AD (mNP2) : 0.56 -p-value of test : 0.69 +Stat. AD (mNP2) : 1.02 +p-value of test : 0.35 -Stat. AD after spacings (mNP2-S) : 0.42 -p-value of test : 0.83 +Stat. AD after spacings (mNP2-S) : 0.76 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:03:02.64 +CPU time used : 00:03:01.73 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) : 0.75 -p-value of test : 0.51 +Stat. AD on the N values (NP) : 0.44 +p-value of test : 0.80 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) : 0.79 -p-value of test : 0.48 +A2 test on the values of A2 (m-NP) : 0.63 +p-value of test : 0.61 -Test on the Nm values of W_{n,i}(mNP1): 0.51 -p-value of test : 0.74 +Test on the Nm values of W_{n,i}(mNP1): 1.21 +p-value of test : 0.26 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 143 -p-value of test : 0.70 +Number of jumps of Y : 161 +p-value of test : 0.19 -Stat. AD (mNP2) : 0.60 -p-value of test : 0.65 +Stat. AD (mNP2) : 0.39 +p-value of test : 0.86 -Stat. AD after spacings (mNP2-S) : 0.66 -p-value of test : 0.59 +Stat. AD after spacings (mNP2-S) : 0.63 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:03:25.98 +CPU time used : 00:03:24.09 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 4.49 -p-value of test : 0.72 +Chi-square statistic : 2.34 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:01:23.52 +CPU time used : 00:01:15.82 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 5.71 -p-value of test : 0.57 +Chi-square statistic : 3.79 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:01:33.59 +CPU time used : 00:01:25.65 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 23.94 -p-value of test : 0.16 +Chi-square statistic : 10.49 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:01:24.27 +CPU time used : 00:01:14.27 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 11.84 -p-value of test : 0.86 +Chi-square statistic : 14.57 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:35.47 +CPU time used : 00:01:29.43 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 64.18 -p-value of test : 0.16 +Chi-square statistic : 51.70 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:01:41.23 +CPU time used : 00:01:42.14 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 67.99 -p-value of test : 0.10 +Chi-square statistic : 50.85 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:01:54.38 +CPU time used : 00:01:45.65 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 51.19 -p-value of test : 0.58 +Chi-square statistic : 61.17 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:01:55.68 +CPU time used : 00:01:42.93 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 69.14 -p-value of test : 0.08 +Chi-square statistic : 56.53 +p-value of test : 0.38 ----------------------------------------------- -CPU time used : 00:01:55.90 +CPU time used : 00:01:44.07 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 252.38 -p-value of test : 0.17 +Chi-square statistic : 242.55 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:02:07.95 +CPU time used : 00:02:02.96 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 430.36 -p-value of test : 0.54 +Chi-square statistic : 458.46 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:02:55.18 +CPU time used : 00:03:18.32 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1340.06 -p-value of test : 0.97 +Chi-square statistic : 1360.98 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:03:15.87 +CPU time used : 00:03:33.28 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7145.03 -p-value of test : 0.20 +Chi-square statistic : 6813.44 +p-value of test : 0.98 ----------------------------------------------- -CPU time used : 00:03:00.00 +CPU time used : 00:03:23.19 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.23 -p-value of test : 0.51 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.67 -Kolmogorov-Smirnov- statistic = D- : 0.28 -p-value of test : 0.40 +Kolmogorov-Smirnov- statistic = D- : 0.34 +p-value of test : 0.26 -Anderson-Darling statistic = A2 : 0.49 -p-value of test : 0.75 +Anderson-Darling statistic = A2 : 0.76 +p-value of test : 0.50 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 33.16 -p-value of test : 0.32 +Chi-square statistic : 33.43 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:01:43.03 +CPU time used : 00:01:53.88 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.46 +Kolmogorov-Smirnov+ statistic = D+ : 0.54 +p-value of test : 1.3e-3 -Kolmogorov-Smirnov- statistic = D- : 0.088 -p-value of test : 0.81 +Kolmogorov-Smirnov- statistic = D- : 7.25e-3 +p-value of test : 0.9923 -Anderson-Darling statistic = A2 : 0.40 -p-value of test : 0.85 +Anderson-Darling statistic = A2 : 7.25 +p-value of test : 2.8e-4 ***** Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 55.63 -p-value of test : 0.64 +Chi-square statistic : 32.38 +p-value of test : 0.9987 ----------------------------------------------- -CPU time used : 00:04:10.80 +CPU time used : 00:04:27.36 Generator state: N/A @@ -1450,12 +1450,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5 -Value of the statistic : 2.76 -p-value of test : 0.74 +Value of the statistic : 1.57 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:01:13.95 +CPU time used : 00:01:26.55 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 : 115.14 -p-value of test : 0.58 +Value of the statistic : 117.51 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:02:08.29 +CPU time used : 00:01:56.90 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 : 5182.60 -p-value of test : 0.08 +Value of the statistic : 4909.87 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:01:29.63 +CPU time used : 00:01:32.96 Generator state: N/A @@ -1567,12 +1567,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 3628799 -Value of the statistic : 3.63e+6 -p-value of test : 0.53 +Value of the statistic : 3.62e+6 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:03:13.59 +CPU time used : 00:02:50.30 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 : 45712 -p-value of test : 0.78 +Observed number of collisions : 45725 +p-value of test : 0.76 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869712 - j = 1 : 399908580 - j = 2 : 45704 - j = 3 : 4 + j = 0 : 1743165869725 + j = 1 : 399908555 + j = 2 : 45715 + j = 3 : 5 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:29.52 +CPU time used : 00:04:24.93 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 : 46004 -p-value of test : 0.28 +Observed number of collisions : 46154 +p-value of test : 0.10 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165870004 - j = 1 : 399907995 - j = 2 : 45998 - j = 3 : 3 + j = 0 : 1743165870154 + j = 1 : 399907694 + j = 2 : 46150 + j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:45.79 +CPU time used : 00:04:25.79 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.24 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.05 -Kolmogorov-Smirnov- statistic = D- : 0.10 -p-value of test : 0.39 +Kolmogorov-Smirnov- statistic = D- : 0.078 +p-value of test : 0.59 -Anderson-Darling statistic = A2 : 0.64 -p-value of test : 0.61 +Anderson-Darling statistic = A2 : 1.15 +p-value of test : 0.29 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.46 +p-value of test : 0.76 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.093 -p-value of test : 0.47 +Kolmogorov-Smirnov+ statistic = D+ : 0.023 +p-value of test : 0.95 -Kolmogorov-Smirnov- statistic = D- : 0.079 -p-value of test : 0.58 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.23 -Anderson-Darling statistic = A2 : 0.40 -p-value of test : 0.85 +Anderson-Darling statistic = A2 : 0.91 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:03:28.65 +CPU time used : 00:03:17.40 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.10 -p-value of test : 0.51 +Kolmogorov-Smirnov+ statistic = D+ : 0.075 +p-value of test : 0.68 -Kolmogorov-Smirnov- statistic = D- : 0.056 -p-value of test : 0.80 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.49 -Anderson-Darling statistic = A2 : 0.53 -p-value of test : 0.72 +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 : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.74 +p-value of test : 0.32 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.025 -p-value of test : 0.95 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.50 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.36 +Kolmogorov-Smirnov- statistic = D- : 0.056 +p-value of test : 0.80 -Anderson-Darling statistic = A2 : 0.40 -p-value of test : 0.84 +Anderson-Darling statistic = A2 : 0.43 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:03:10.75 +CPU time used : 00:03:13.71 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.28 +Kolmogorov-Smirnov+ statistic = D+ : 0.24 +p-value of test : 0.09 -Kolmogorov-Smirnov- statistic = D- : 0.25 -p-value of test : 0.07 +Kolmogorov-Smirnov- statistic = D- : 0.022 +p-value of test : 0.97 -Anderson-Darling statistic = A2 : 1.42 -p-value of test : 0.20 +Anderson-Darling statistic = A2 : 2.15 +p-value of test : 0.08 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 : 0.98 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.24 +Kolmogorov-Smirnov+ statistic = D+ : 0.077 +p-value of test : 0.75 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.42 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.50 -Anderson-Darling statistic = A2 : 0.81 -p-value of test : 0.47 +Anderson-Darling statistic = A2 : 0.30 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:02:28.56 +CPU time used : 00:02:40.21 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.034 -p-value of test : 0.94 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.23 -Kolmogorov-Smirnov- statistic = D- : 0.26 -p-value of test : 0.06 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.51 -Anderson-Darling statistic = A2 : 1.83 -p-value of test : 0.11 +Anderson-Darling statistic = A2 : 0.99 +p-value of test : 0.36 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.05 +p-value of test : 0.81 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.32 -p-value of test : 0.01 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.42 -Kolmogorov-Smirnov- statistic = D- : 0.029 -p-value of test : 0.95 +Kolmogorov-Smirnov- statistic = D- : 0.077 +p-value of test : 0.75 -Anderson-Darling statistic = A2 : 2.07 -p-value of test : 0.08 +Anderson-Darling statistic = A2 : 0.38 +p-value of test : 0.87 ----------------------------------------------- -CPU time used : 00:02:48.48 +CPU time used : 00:03:06.69 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.070 -p-value of test : 0.65 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.17 -Kolmogorov-Smirnov- statistic = D- : 0.083 -p-value of test : 0.55 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.35 -Anderson-Darling statistic = A2 : 0.35 -p-value of test : 0.90 +Anderson-Darling statistic = A2 : 0.91 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:02:26.26 +CPU time used : 00:02:24.71 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.24 -p-value of test : 0.09 +Kolmogorov-Smirnov+ statistic = D+ : 2.05e-3 +p-value of test : 0.9979 -Kolmogorov-Smirnov- statistic = D- : 0.076 -p-value of test : 0.76 +Kolmogorov-Smirnov- statistic = D- : 0.23 +p-value of test : 0.11 -Anderson-Darling statistic = A2 : 0.80 -p-value of test : 0.48 +Anderson-Darling statistic = A2 : 1.36 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:01:43.44 +CPU time used : 00:01:48.79 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.26 -p-value of test : 0.05 +Kolmogorov-Smirnov+ statistic = D+ : 0.084 +p-value of test : 0.71 -Kolmogorov-Smirnov- statistic = D- : 0.063 -p-value of test : 0.82 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.61 -Anderson-Darling statistic = A2 : 1.40 -p-value of test : 0.20 +Anderson-Darling statistic = A2 : 0.34 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:02:13.84 +CPU time used : 00:02:14.68 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.05e-4 -p-value of test : 0.65 +Kolmogorov-Smirnov+ statistic = D+ : 9.36e-5 +p-value of test : 0.70 -Kolmogorov-Smirnov- statistic = D- : 2.81e-4 -p-value of test : 0.04 +Kolmogorov-Smirnov- statistic = D- : 2.46e-4 +p-value of test : 0.09 -Anderson-Darling statistic = A2 : 2.12 -p-value of test : 0.08 +Anderson-Darling statistic = A2 : 1.89 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:00:32.09 +CPU time used : 00:00:33.12 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.96e-4 -p-value of test : 0.21 +Kolmogorov-Smirnov+ statistic = D+ : 2.92e-4 +p-value of test : 0.03 -Kolmogorov-Smirnov- statistic = D- : 4.33e-5 -p-value of test : 0.93 +Kolmogorov-Smirnov- statistic = D- : 5.34e-5 +p-value of test : 0.89 -Anderson-Darling statistic = A2 : 0.85 -p-value of test : 0.45 +Anderson-Darling statistic = A2 : 2.38 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:00:33.17 +CPU time used : 00:00:34.94 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.88 -p-value of test : 0.19 +Normal statistic : -0.70 +p-value of test : 0.76 ----------------------------------------------- -CPU time used : 00:00:34.09 +CPU time used : 00:00:34.67 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 1.91 -p-value of test : 0.03 +Normal statistic : -1.46 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:00:35.46 +CPU time used : 00:00:34.42 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 0.062 -p-value of test : 0.48 +Normal statistic : 1.65 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:02:02.44 +CPU time used : 00:02:06.36 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 1.41 -p-value of test : 0.08 +Normal statistic : 0.31 +p-value of test : 0.38 ----------------------------------------------- -CPU time used : 00:02:06.76 +CPU time used : 00:02:07.12 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 65.02 -p-value of test : 0.55 +Chi-square statistic : 79.95 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:01:25.46 +CPU time used : 00:01:22.21 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 81.72 -p-value of test : 0.11 +Chi-square statistic : 64.00 +p-value of test : 0.58 ----------------------------------------------- -CPU time used : 00:01:35.48 +CPU time used : 00:01:39.81 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 59.58 -p-value of test : 0.73 +Chi-square statistic : 64.72 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:01:38.29 +CPU time used : 00:01:41.06 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 42.45 -p-value of test : 0.25 +Chi-square statistic : 30.80 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:01:24.22 +CPU time used : 00:01:22.29 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 37.39 -p-value of test : 0.45 +Chi-square statistic : 30.66 +p-value of test : 0.76 ----------------------------------------------- -CPU time used : 00:01:36.50 +CPU time used : 00:01:48.29 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 27.68 -p-value of test : 0.87 +Chi-square statistic : 39.72 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:01:35.68 +CPU time used : 00:01:44.32 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 27.62 -p-value of test : 0.54 +Chi-square statistic : 20.87 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:02:46.18 +CPU time used : 00:02:45.43 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.095 -p-value of test : 0.79 +Kolmogorov-Smirnov+ statistic = D+ : 0.096 +p-value of test : 0.78 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.38 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.49 -Anderson-Darling statistic = A2 : 0.57 -p-value of test : 0.67 +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 : 40 -Chi-square statistic : 43.58 -p-value of test : 0.32 +Chi-square statistic : 41.11 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:01:27.26 +CPU time used : 00:01:24.44 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 2.91e-3 -p-value of test : 0.9970 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.55 -Kolmogorov-Smirnov- statistic = D- : 0.48 -p-value of test : 6.1e-3 +Kolmogorov-Smirnov- statistic = D- : 0.093 +p-value of test : 0.79 -Anderson-Darling statistic = A2 : 4.85 -p-value of test : 3.6e-3 +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 : 40 -Chi-square statistic : 72.46 -p-value of test : 1.3e-3 +Chi-square statistic : 35.52 +p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:01:28.26 +CPU time used : 00:01:22.64 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 1.01 -p-value of test : 0.80 +Chi-square statistic : 9.62 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:02:11.77 +CPU time used : 00:02:05.87 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 7.50 -p-value of test : 0.06 +Chi-square statistic : 2.27 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:02:25.71 +CPU time used : 00:02:24.70 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 1.44 -p-value of test : 0.49 +Chi-square statistic : 0.92 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:01:33.79 +CPU time used : 00:01:32.96 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.60 -p-value of test : 0.74 +Chi-square statistic : 0.51 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:01:17.97 +CPU time used : 00:01:20.60 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.042 -p-value of test : 0.94 +Kolmogorov-Smirnov+ statistic = D+ : 0.34 +p-value of test : 0.07 -Kolmogorov-Smirnov- statistic = D- : 0.27 -p-value of test : 0.20 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.50 -Anderson-Darling statistic = A2 : 1.13 -p-value of test : 0.29 +Anderson-Darling statistic = A2 : 1.53 +p-value of test : 0.17 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 149.70 -p-value of test : 0.11 +Chi-square statistic : 111.49 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:00:57.79 +CPU time used : 00:00:58.45 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.26 -p-value of test : 0.22 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.71 -Kolmogorov-Smirnov- statistic = D- : 0.051 -p-value of test : 0.92 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.54 -Anderson-Darling statistic = A2 : 0.81 -p-value of test : 0.47 +Anderson-Darling statistic = A2 : 0.42 +p-value of test : 0.83 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17225.30 -p-value of test : 0.86 +Chi-square statistic :17538.21 +p-value of test : 0.28 ----------------------------------------------- -CPU time used : 00:01:54.65 +CPU time used : 00:01:52.55 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 : 36.06 -p-value of test : 0.47 +ChiSquare statistic : 39.24 +p-value of test : 0.33 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 28.54 -p-value of test : 0.77 +ChiSquare statistic : 39.53 +p-value of test : 0.27 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 22.40 -p-value of test : 0.61 +ChiSquare statistic : 24.40 +p-value of test : 0.50 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 30.77 -p-value of test : 0.16 +ChiSquare statistic : 37.72 +p-value of test : 0.04 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 11.47 -p-value of test : 0.83 +ChiSquare statistic : 15.64 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:00:57.17 +CPU time used : 00:00:46.50 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 : 35.79 -p-value of test : 0.48 +ChiSquare statistic : 31.93 +p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 44.06 -p-value of test : 0.14 +ChiSquare statistic : 26.22 +p-value of test : 0.86 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 20.71 -p-value of test : 0.71 +ChiSquare statistic : 22.72 +p-value of test : 0.59 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 18.04 -p-value of test : 0.80 +ChiSquare statistic : 33.44 +p-value of test : 0.10 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 28.28 -p-value of test : 0.04 +ChiSquare statistic : 13.36 +p-value of test : 0.71 ----------------------------------------------- -CPU time used : 00:00:51.39 +CPU time used : 00:00:58.80 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 : 120.83 -p-value of test : 0.94 +ChiSquare statistic : 155.37 +p-value of test : 0.28 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 161.88 -p-value of test : 0.17 +ChiSquare statistic : 149.13 +p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 546.91 -p-value of test : 0.07 +ChiSquare statistic : 510.81 +p-value of test : 0.36 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 114.67 -p-value of test : 0.91 +ChiSquare statistic : 137.36 +p-value of test : 0.45 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 90.31 +ChiSquare statistic : 90.24 p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:01:00.59 +CPU time used : 00:00:55.40 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 : 140.83 -p-value of test : 0.61 +ChiSquare statistic : 138.65 +p-value of test : 0.65 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 177.56 -p-value of test : 0.04 +ChiSquare statistic : 141.31 +p-value of test : 0.59 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 462.07 -p-value of test : 0.89 +ChiSquare statistic : 529.70 +p-value of test : 0.17 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 157.20 -p-value of test : 0.10 +ChiSquare statistic : 160.06 +p-value of test : 0.08 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 68.10 -p-value of test : 0.67 +ChiSquare statistic : 72.29 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:00:59.88 +CPU time used : 00:00:55.39 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 : 439.44 -p-value of test : 0.03 +ChiSquare statistic : 359.58 +p-value of test : 0.81 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 375.68 -p-value of test : 0.61 +ChiSquare statistic : 390.68 +p-value of test : 0.40 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4941.04 -p-value of test : 0.72 +ChiSquare statistic : 5064.54 +p-value of test : 0.26 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 345.31 -p-value of test : 0.89 +ChiSquare statistic : 368.62 +p-value of test : 0.63 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 237.28 -p-value of test : 0.04 +ChiSquare statistic : 214.92 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:00:51.36 +CPU time used : 00:00:47.80 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 : 365.35 -p-value of test : 0.75 +ChiSquare statistic : 384.77 +p-value of test : 0.48 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 320.35 -p-value of test : 0.9921 +ChiSquare statistic : 396.80 +p-value of test : 0.32 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5113.80 -p-value of test : 0.13 +ChiSquare statistic : 5033.27 +p-value of test : 0.37 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 337.70 -p-value of test : 0.93 +ChiSquare statistic : 357.55 +p-value of test : 0.77 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 181.16 -p-value of test : 0.83 +ChiSquare statistic : 198.78 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:00:48.42 +CPU time used : 00:00:50.88 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 15.54 -p-value of test : 0.21 +Chi2 statistic for size of jumps : 14.16 +p-value of test : 0.29 ----------------------------------------------- -Normal statistic for number of jumps : -402.67 +Normal statistic for number of jumps : -402.58 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:07.85 +CPU time used : 00:00:07.95 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 18.69 -p-value of test : 0.10 +Chi2 statistic for size of jumps : 10.19 +p-value of test : 0.60 ----------------------------------------------- -Normal statistic for number of jumps : -402.57 +Normal statistic for number of jumps : -402.40 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:07.81 +CPU time used : 00:00:07.84 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.072 -p-value of test : 0.87 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.43 -Kolmogorov-Smirnov- statistic = D- : 0.36 -p-value of test : 0.06 +Kolmogorov-Smirnov- statistic = D- : 0.27 +p-value of test : 0.21 -Anderson-Darling statistic = A2 : 2.39 -p-value of test : 0.06 +Anderson-Darling statistic = A2 : 1.16 +p-value of test : 0.28 Tests on the sum of all N observations -Standardized normal statistic : 1.63 -p-value of test : 0.05 +Standardized normal statistic : 0.90 +p-value of test : 0.18 -Sample variance : 1.05 -p-value of test : 0.40 +Sample variance : 1.65 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:00:56.28 +CPU time used : 00:01:00.03 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.33 -p-value of test : 0.09 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.46 -Kolmogorov-Smirnov- statistic = D- : 0.049 -p-value of test : 0.93 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.39 -Anderson-Darling statistic = A2 : 1.12 -p-value of test : 0.30 +Anderson-Darling statistic = A2 : 1.00 +p-value of test : 0.35 Tests on the sum of all N observations -Standardized normal statistic : -1.22 -p-value of test : 0.89 +Standardized normal statistic : 0.47 +p-value of test : 0.32 -Sample variance : 1.16 -p-value of test : 0.31 +Sample variance : 2.15 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:00:59.50 +CPU time used : 00:01:03.98 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 8.54e-3 -p-value of test : 0.55 +Kolmogorov-Smirnov+ statistic = D+ : 5.31e-3 +p-value of test : 0.79 -Kolmogorov-Smirnov- statistic = D- : 3.13e-3 -p-value of test : 0.92 +Kolmogorov-Smirnov- statistic = D- : 0.011 +p-value of test : 0.37 -Anderson-Darling statistic = A2 : 0.28 -p-value of test : 0.95 +Anderson-Darling statistic = A2 : 0.51 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:00:48.44 +CPU time used : 00:00:54.85 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.011 -p-value of test : 0.39 +Kolmogorov-Smirnov+ statistic = D+ : 9.64e-3 +p-value of test : 0.46 -Kolmogorov-Smirnov- statistic = D- : 7.31e-3 -p-value of test : 0.64 +Kolmogorov-Smirnov- statistic = D- : 5.73e-3 +p-value of test : 0.76 -Anderson-Darling statistic = A2 : 0.80 -p-value of test : 0.48 +Anderson-Darling statistic = A2 : 0.31 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:00:47.51 +CPU time used : 00:00:56.35 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 13.41 -p-value of test : 0.10 +Chi-square statistic : 6.56 +p-value of test : 0.58 ----------------------------------------------- -Global longest run of 1 : 31.00 -p-value of test : 0.69 +Global longest run of 1 : 32.00 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:01:39.59 +CPU time used : 00:01:48.04 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 11.47 -p-value of test : 0.18 +Chi-square statistic : 6.85 +p-value of test : 0.55 ----------------------------------------------- -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 : 00:01:41.59 +CPU time used : 00:01:45.92 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.45 +Kolmogorov-Smirnov+ statistic = D+ : 0.088 +p-value of test : 0.81 -Kolmogorov-Smirnov- statistic = D- : 0.057 -p-value of test : 0.91 +Kolmogorov-Smirnov- statistic = D- : 0.36 +p-value of test : 0.06 -Anderson-Darling statistic = A2 : 0.64 -p-value of test : 0.60 +Anderson-Darling statistic = A2 : 1.75 +p-value of test : 0.13 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 181.14 -p-value of test : 0.83 +Chi-square statistic : 224.66 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:02:54.36 +CPU time used : 00:03:10.50 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.54 +Kolmogorov-Smirnov+ statistic = D+ : 0.28 +p-value of test : 0.17 -Kolmogorov-Smirnov- statistic = D- : 0.22 -p-value of test : 0.34 +Kolmogorov-Smirnov- statistic = D- : 0.088 +p-value of test : 0.81 -Anderson-Darling statistic = A2 : 0.73 -p-value of test : 0.53 +Anderson-Darling statistic = A2 : 0.85 +p-value of test : 0.44 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 205.91 -p-value of test : 0.37 +Chi-square statistic : 179.08 +p-value of test : 0.85 ----------------------------------------------- -CPU time used : 00:02:53.71 +CPU time used : 00:02:52.34 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.23 -p-value of test : 0.31 +Kolmogorov-Smirnov+ statistic = D+ : 0.010 +p-value of test : 0.99 -Kolmogorov-Smirnov- statistic = D- : 0.047 -p-value of test : 0.93 +Kolmogorov-Smirnov- statistic = D- : 0.44 +p-value of test : 0.01 -Anderson-Darling statistic = A2 : 1.55 -p-value of test : 0.17 +Anderson-Darling statistic = A2 : 3.13 +p-value of test : 0.02 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9781.15 -p-value of test : 0.94 +Chi-square statistic :10346.01 +p-value of test : 7.7e-3 ----------------------------------------------- -CPU time used : 00:01:06.31 +CPU time used : 00:01:07.20 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.36 -p-value of test : 0.06 +Kolmogorov-Smirnov+ statistic = D+ : 0.032 +p-value of test : 0.96 -Kolmogorov-Smirnov- statistic = D- : 0.075 -p-value of test : 0.86 +Kolmogorov-Smirnov- statistic = D- : 0.26 +p-value of test : 0.21 -Anderson-Darling statistic = A2 : 1.18 -p-value of test : 0.27 +Anderson-Darling statistic = A2 : 0.76 +p-value of test : 0.51 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9854.01 -p-value of test : 0.85 +Chi-square statistic :10155.06 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:01:07.09 +CPU time used : 00:01:08.97 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.93 -p-value of test : 0.18 +Normal statistic : -0.87 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:01:23.98 +CPU time used : 00:01:21.82 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.57 -p-value of test : 0.71 +Normal statistic : -0.063 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:01:16.87 +CPU time used : 00:01:21.79 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -1.32 -p-value of test : 0.91 +Normal statistic : 0.29 +p-value of test : 0.38 ----------------------------------------------- -CPU time used : 00:05:09.12 +CPU time used : 00:05:33.67 Generator state: N/A @@ -3398,21 +3398,21 @@ Counters with expected numbers >= 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.51 +p-value of test : 0.49 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.66 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.37 -Anderson-Darling statistic = A2 : 0.26 -p-value of test : 0.96 +Anderson-Darling statistic = A2 : 0.85 +p-value of test : 0.45 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4858.50 -p-value of test : 0.62 +Chi-square statistic : 4914.98 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:02:11.95 +CPU time used : 00:02:19.30 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.42 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.72 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.50 +Kolmogorov-Smirnov- statistic = D- : 0.30 +p-value of test : 0.13 -Anderson-Darling statistic = A2 : 0.32 -p-value of test : 0.92 +Anderson-Darling statistic = A2 : 0.84 +p-value of test : 0.45 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4905.77 -p-value of test : 0.43 +Chi-square statistic : 4948.26 +p-value of test : 0.28 ----------------------------------------------- -CPU time used : 00:02:14.43 +CPU time used : 00:02:26.95 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 : 4402.57 -p-value of test : 1.0e-3 +Chi-square statistic : 4074.49 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:01:34.64 +CPU time used : 00:01:40.54 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 : 4244.84 -p-value of test : 0.08 +Chi-square statistic : 4401.37 +p-value of test : 1.1e-3 ----------------------------------------------- -CPU time used : 00:01:41.14 +CPU time used : 00:01:44.90 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 :11594.50 -p-value of test
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