http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/src/site/resources/txt/userguide/stress/tu/run_2/tu_2 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_2/tu_2 b/src/site/resources/txt/userguide/stress/tu/run_2/tu_2 index 11cdb90..afaa3fa 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_2/tu_2 +++ b/src/site/resources/txt/userguide/stress/tu/run_2/tu_2 @@ -1,12 +1,12 @@ # -# RNG: org.apache.commons.math4.rng.internal.source32.MersenneTwister +# RNG: org.apache.commons.rng.internal.source32.MersenneTwister # # 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 : 0.67 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:03:01.40 +CPU time used : 00:02:22.12 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 : 0.16 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:02:51.94 +CPU time used : 00:02:34.50 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 : 1369 -p-value of test : 0.45 +Observed number of collisions : 1324 +p-value of test : 0.86 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334489 - j = 1 : 599997262 - j = 2 : 1369 + j = 0 : 131940795334444 + j = 1 : 599997352 + j = 2 : 1324 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:01.53 +CPU time used : 00:06:20.45 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 : 1373 -p-value of test : 0.41 +Observed number of collisions : 1309 +p-value of test : 0.93 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334493 - j = 1 : 599997254 - j = 2 : 1373 + j = 0 : 131940795334429 + j = 1 : 599997382 + j = 2 : 1309 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:21.84 +CPU time used : 00:06:41.85 Generator state: N/A @@ -227,21 +227,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1354 -p-value of test : 0.60 +Observed number of collisions : 1348 +p-value of test : 0.66 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334474 - j = 1 : 599997292 - j = 2 : 1354 + j = 0 : 131940795334468 + j = 1 : 599997304 + j = 2 : 1348 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:36.07 +CPU time used : 00:08:52.18 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 : 1400 -p-value of test : 0.17 +Observed number of collisions : 1368 +p-value of test : 0.46 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334520 - j = 1 : 599997200 - j = 2 : 1400 + j = 0 : 131940795334488 + j = 1 : 599997264 + j = 2 : 1368 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:23.92 +CPU time used : 00:10:31.82 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 : 1283 -p-value of test : 0.99 +Observed number of collisions : 1333 +p-value of test : 0.80 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334403 - j = 1 : 599997434 - j = 2 : 1283 + j = 0 : 131940795334453 + j = 1 : 599997334 + j = 2 : 1333 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:27.11 +CPU time used : 00:10:20.96 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 : 1399 -p-value of test : 0.18 +Observed number of collisions : 1372 +p-value of test : 0.42 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334519 - j = 1 : 599997202 - j = 2 : 1399 + j = 0 : 131940795334492 + j = 1 : 599997256 + j = 2 : 1372 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:27.82 +CPU time used : 00:07:12.55 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 : 1378 -p-value of test : 0.36 +Observed number of collisions : 1293 +p-value of test : 0.97 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334498 - j = 1 : 599997244 - j = 2 : 1378 + j = 0 : 131940795334413 + j = 1 : 599997414 + j = 2 : 1293 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:43.32 +CPU time used : 00:08:27.65 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 : 1427 -p-value of test : 0.05 +Observed number of collisions : 1374 +p-value of test : 0.40 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334547 - j = 1 : 599997146 - j = 2 : 1427 + j = 0 : 131940795334494 + j = 1 : 599997252 + j = 2 : 1374 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:17.84 +CPU time used : 00:09:12.35 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 : 1403 -p-value of test : 0.15 +Observed number of collisions : 1304 +p-value of test : 0.95 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334523 - j = 1 : 599997194 - j = 2 : 1403 + j = 0 : 131940795334424 + j = 1 : 599997392 + j = 2 : 1304 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:20.52 +CPU time used : 00:07:48.69 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 : 1259 -p-value of test : 0.9979 +Observed number of collisions : 1299 +p-value of test : 0.96 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334379 - j = 1 : 599997482 - j = 2 : 1259 + j = 0 : 131940795334419 + j = 1 : 599997402 + j = 2 : 1299 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:01.52 +CPU time used : 00:10:17.06 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5443 -p-value of test : 0.38 +Total observed number : 5445 +p-value of test : 0.37 ----------------------------------------------- -CPU time used : 00:05:18.34 +CPU time used : 00:05:39.68 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4355 -p-value of test : 0.39 +Total observed number : 4415 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:02:20.85 +CPU time used : 00:02:30.77 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7312 -p-value of test : 0.53 +Total observed number : 7371 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:03:57.80 +CPU time used : 00:04:13.60 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4410 -p-value of test : 0.13 +Total observed number : 4291 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:02:53.85 +CPU time used : 00:03:06.93 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4318 -p-value of test : 0.61 +Total observed number : 4301 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:02:55.13 +CPU time used : 00:03:20.68 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7250 -p-value of test : 0.79 +Total observed number : 7227 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:04:17.76 +CPU time used : 00:05:23.06 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7428 -p-value of test : 0.10 +Total observed number : 7400 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:04:12.56 +CPU time used : 00:05:21.03 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7268 -p-value of test : 0.72 +Total observed number : 7357 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:05:14.92 +CPU time used : 00:06:54.63 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7248 -p-value of test : 0.79 +Total observed number : 7233 +p-value of test : 0.84 ----------------------------------------------- -CPU time used : 00:05:43.07 +CPU time used : 00:07:40.07 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) : 0.49 -p-value of test : 0.75 +Stat. AD on the N values (NP) : 3.68 +p-value of test : 0.01 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) : 0.32 -p-value of test : 0.92 +A2 test on the values of A2 (m-NP) : 0.92 +p-value of test : 0.40 -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): 0.55 +p-value of test : 0.69 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 941 -p-value of test : 0.09 +Number of jumps of Y : 927 +p-value of test : 0.19 -Stat. AD (mNP2) : 0.52 -p-value of test : 0.73 +Stat. AD (mNP2) : 0.61 +p-value of test : 0.64 -Stat. AD after spacings (mNP2-S) : 1.94 -p-value of test : 0.10 +Stat. AD after spacings (mNP2-S) : 0.89 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:03:31.34 +CPU time used : 00:03:53.81 Generator state: N/A @@ -942,27 +942,27 @@ p-value of test : 0.82 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) : 3.78 -p-value of test : 0.01 +A2 test on the values of A2 (m-NP) : 0.92 +p-value of test : 0.40 -Test on the Nm values of W_{n,i}(mNP1): 1.23 -p-value of test : 0.26 +Test on the Nm values of W_{n,i}(mNP1): 0.48 +p-value of test : 0.77 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 621 -p-value of test : 0.20 +Number of jumps of Y : 596 +p-value of test : 0.55 -Stat. AD (mNP2) : 2.82 -p-value of test : 0.03 +Stat. AD (mNP2) : 0.53 +p-value of test : 0.72 -Stat. AD after spacings (mNP2-S) : 0.85 -p-value of test : 0.44 +Stat. AD after spacings (mNP2-S) : 0.71 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:02:14.81 +CPU time used : 00:02:41.76 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) : 0.71 -p-value of test : 0.54 +Stat. AD on the N values (NP) : 0.80 +p-value of test : 0.47 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) : 0.90 -p-value of test : 0.41 +A2 test on the values of A2 (m-NP) : 1.20 +p-value of test : 0.27 -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): 0.90 +p-value of test : 0.41 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 279 -p-value of test : 0.88 +Number of jumps of Y : 282 +p-value of test : 0.84 -Stat. AD (mNP2) : 0.43 -p-value of test : 0.82 +Stat. AD (mNP2) : 1.11 +p-value of test : 0.31 -Stat. AD after spacings (mNP2-S) : 1.97 -p-value of test : 0.10 +Stat. AD after spacings (mNP2-S) : 0.72 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:03:01.76 +CPU time used : 00:04:28.20 Generator state: N/A @@ -1031,18 +1031,18 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.53 -p-value of test : 0.71 +Stat. AD on the N values (NP) : 1.21 +p-value of test : 0.26 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) : 0.46 -p-value of test : 0.78 +A2 test on the values of A2 (m-NP) : 0.80 +p-value of test : 0.48 -Test on the Nm values of W_{n,i}(mNP1): 0.55 -p-value of test : 0.69 +Test on the Nm values of W_{n,i}(mNP1): 0.59 +p-value of test : 0.66 Test on the jump times of Y (superposition of Yn): @@ -1051,14 +1051,14 @@ Expected number of jumps of Y = mN : 150 Number of jumps of Y : 146 p-value of test : 0.61 -Stat. AD (mNP2) : 1.54 -p-value of test : 0.17 +Stat. AD (mNP2) : 0.76 +p-value of test : 0.51 -Stat. AD after spacings (mNP2-S) : 0.18 -p-value of test : 0.9946 +Stat. AD after spacings (mNP2-S) : 0.41 +p-value of test : 0.84 ----------------------------------------------- -CPU time used : 00:03:19.65 +CPU time used : 00:04:48.94 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 8.55 -p-value of test : 0.29 +Chi-square statistic : 3.16 +p-value of test : 0.87 ----------------------------------------------- -CPU time used : 00:01:17.88 +CPU time used : 00:01:44.64 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 6.09 -p-value of test : 0.53 +Chi-square statistic : 7.05 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:01:33.75 +CPU time used : 00:02:00.47 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 10.92 -p-value of test : 0.90 +Chi-square statistic : 7.48 +p-value of test : 0.99 ----------------------------------------------- -CPU time used : 00:01:19.84 +CPU time used : 00:01:39.62 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 12.63 -p-value of test : 0.81 +Chi-square statistic : 13.82 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:01:32.39 +CPU time used : 00:01:57.21 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 45.17 -p-value of test : 0.80 +Chi-square statistic : 52.43 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:01:41.76 +CPU time used : 00:02:09.64 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 58.93 -p-value of test : 0.30 +Chi-square statistic : 45.76 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:02:02.32 +CPU time used : 00:02:30.26 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 63.69 -p-value of test : 0.17 +Chi-square statistic : 62.72 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:02:00.59 +CPU time used : 00:02:28.11 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 56.06 -p-value of test : 0.40 +Chi-square statistic : 63.66 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:01:57.23 +CPU time used : 00:02:25.53 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 245.21 -p-value of test : 0.26 +Chi-square statistic : 212.10 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:02:19.29 +CPU time used : 00:02:39.87 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 406.91 -p-value of test : 0.82 +Chi-square statistic : 403.86 +p-value of test : 0.85 ----------------------------------------------- -CPU time used : 00:02:58.31 +CPU time used : 00:03:53.78 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1478.34 -p-value of test : 0.22 +Chi-square statistic : 1425.63 +p-value of test : 0.58 ----------------------------------------------- -CPU time used : 00:03:20.79 +CPU time used : 00:03:59.70 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7029.22 -p-value of test : 0.55 +Chi-square statistic : 7181.12 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:03:01.54 +CPU time used : 00:04:02.70 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.45 -p-value of test : 0.09 +Kolmogorov-Smirnov+ statistic = D+ : 2.22e-3 +p-value of test : 0.9978 -Kolmogorov-Smirnov- statistic = D- : 0.24 -p-value of test : 0.48 +Kolmogorov-Smirnov- statistic = D- : 0.43 +p-value of test : 0.12 -Anderson-Darling statistic = A2 : 1.06 -p-value of test : 0.33 +Anderson-Darling statistic = A2 : 1.94 +p-value of test : 0.10 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 23.66 -p-value of test : 0.79 +Chi-square statistic : 48.22 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:01:44.79 +CPU time used : 00:02:01.84 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.68 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.50 -Kolmogorov-Smirnov- statistic = D- : 0.42 -p-value of test : 0.02 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.46 -Anderson-Darling statistic = A2 : 1.92 -p-value of test : 0.10 +Anderson-Darling statistic = A2 : 0.54 +p-value of test : 0.71 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 69.42 -p-value of test : 0.19 +Chi-square statistic : 62.01 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:04:14.76 +CPU time used : 00:04:55.03 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 : 3.12 -p-value of test : 0.68 +Value of the statistic : 6.92 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:01:15.42 +CPU time used : 00:01:34.50 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 : 115.68 -p-value of test : 0.57 +Value of the statistic : 138.86 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:02:08.85 +CPU time used : 00:02:40.67 Generator state: N/A @@ -1528,12 +1528,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5039 -Value of the statistic : 4941.88 -p-value of test : 0.83 +Value of the statistic : 5098.90 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:01:34.42 +CPU time used : 00:01:55.89 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 : 0.55 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:03:05.76 +CPU time used : 00:03:40.85 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 : 45922 -p-value of test : 0.42 +Observed number of collisions : 45538 +p-value of test : 0.94 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869922 - j = 1 : 399908161 - j = 2 : 45912 - j = 3 : 5 + j = 0 : 1743165869538 + j = 1 : 399908927 + j = 2 : 45532 + j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:22.95 +CPU time used : 00:05:03.12 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 : 45485 -p-value of test : 0.97 +Observed number of collisions : 46096 +p-value of test : 0.16 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869485 - j = 1 : 399909035 - j = 2 : 45475 - j = 3 : 5 + j = 0 : 1743165870096 + j = 1 : 399907814 + j = 2 : 46084 + j = 3 : 6 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:43.88 +CPU time used : 00:06:01.01 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.38 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.09 -Kolmogorov-Smirnov- statistic = D- : 0.067 -p-value of test : 0.67 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.34 -Anderson-Darling statistic = A2 : 0.50 -p-value of test : 0.75 +Anderson-Darling statistic = A2 : 1.35 +p-value of test : 0.22 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.73 +p-value of test : 0.66 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.19 +Kolmogorov-Smirnov+ statistic = D+ : 0.021 +p-value of test : 0.95 -Kolmogorov-Smirnov- statistic = D- : 0.064 -p-value of test : 0.69 +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.02 -Anderson-Darling statistic = A2 : 1.08 -p-value of test : 0.32 +Anderson-Darling statistic = A2 : 2.26 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:03:27.01 +CPU time used : 00:04:25.13 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.044 -p-value of test : 0.86 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.49 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.25 +Kolmogorov-Smirnov- statistic = D- : 0.064 +p-value of test : 0.75 -Anderson-Darling statistic = A2 : 0.89 -p-value of test : 0.42 +Anderson-Darling statistic = A2 : 0.62 +p-value of test : 0.63 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.15 +p-value of test : 0.85 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.07 +Kolmogorov-Smirnov+ statistic = D+ : 0.098 +p-value of test : 0.53 -Kolmogorov-Smirnov- statistic = D- : 0.066 -p-value of test : 0.73 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.49 -Anderson-Darling statistic = A2 : 2.08 -p-value of test : 0.08 +Anderson-Darling statistic = A2 : 0.48 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:03:10.39 +CPU time used : 00:04:12.54 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.086 -p-value of test : 0.71 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.26 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.44 +Kolmogorov-Smirnov- statistic = D- : 0.021 +p-value of test : 0.97 -Anderson-Darling statistic = A2 : 0.60 -p-value of test : 0.65 +Anderson-Darling statistic = A2 : 1.00 +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 : 0.25 +p-value of test : 0.90 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.015 -p-value of test : 0.98 +Kolmogorov-Smirnov+ statistic = D+ : 0.25 +p-value of test : 0.07 -Kolmogorov-Smirnov- statistic = D- : 0.26 -p-value of test : 0.06 +Kolmogorov-Smirnov- statistic = D- : 0.082 +p-value of test : 0.73 -Anderson-Darling statistic = A2 : 1.75 -p-value of test : 0.13 +Anderson-Darling statistic = A2 : 1.53 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:02:28.62 +CPU time used : 00:03:17.18 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.088 -p-value of test : 0.69 +Kolmogorov-Smirnov+ statistic = D+ : 0.022 +p-value of test : 0.97 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.15 +Kolmogorov-Smirnov- statistic = D- : 0.35 +p-value of test : 5.9e-3 -Anderson-Darling statistic = A2 : 1.15 -p-value of test : 0.29 +Anderson-Darling statistic = A2 : 2.99 +p-value of test : 0.03 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.13 +p-value of test : 0.01 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.33 +Kolmogorov-Smirnov+ statistic = D+ : 0.078 +p-value of test : 0.75 -Kolmogorov-Smirnov- statistic = D- : 0.22 -p-value of test : 0.13 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.39 -Anderson-Darling statistic = A2 : 1.66 -p-value of test : 0.14 +Anderson-Darling statistic = A2 : 0.70 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:02:50.43 +CPU time used : 00:03:43.01 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.093 -p-value of test : 0.47 +Kolmogorov-Smirnov+ statistic = D+ : 0.035 +p-value of test : 0.89 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.19 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.09 -Anderson-Darling statistic = A2 : 0.93 -p-value of test : 0.40 +Anderson-Darling statistic = A2 : 1.38 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:02:28.29 +CPU time used : 00:03:08.29 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.044 -p-value of test : 0.90 +Kolmogorov-Smirnov+ statistic = D+ : 0.056 +p-value of test : 0.85 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.17 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.46 -Anderson-Darling statistic = A2 : 0.87 -p-value of test : 0.43 +Anderson-Darling statistic = A2 : 0.33 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:01:46.15 +CPU time used : 00:02:09.54 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.091 -p-value of test : 0.68 +Kolmogorov-Smirnov+ statistic = D+ : 0.070 +p-value of test : 0.78 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.50 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.15 -Anderson-Darling statistic = A2 : 0.31 -p-value of test : 0.93 +Anderson-Darling statistic = A2 : 0.94 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:02:17.37 +CPU time used : 00:02:47.34 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 2.19e-4 -p-value of test : 0.15 +Kolmogorov-Smirnov+ statistic = D+ : 3.11e-4 +p-value of test : 0.02 -Kolmogorov-Smirnov- statistic = D- : 3.41e-5 -p-value of test : 0.95 +Kolmogorov-Smirnov- statistic = D- : 4.64e-5 +p-value of test : 0.92 -Anderson-Darling statistic = A2 : 1.14 -p-value of test : 0.29 +Anderson-Darling statistic = A2 : 1.82 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:00:33.12 +CPU time used : 00:00:41.28 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.25e-4 -p-value of test : 0.54 +Kolmogorov-Smirnov+ statistic = D+ : 2.94e-4 +p-value of test : 0.03 -Kolmogorov-Smirnov- statistic = D- : 8.73e-5 -p-value of test : 0.74 +Kolmogorov-Smirnov- statistic = D- : 8.40e-5 +p-value of test : 0.75 -Anderson-Darling statistic = A2 : 0.35 -p-value of test : 0.90 +Anderson-Darling statistic = A2 : 1.71 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:00:34.15 +CPU time used : 00:00:42.54 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 1.27 -p-value of test : 0.10 +Normal statistic : 0.038 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:00:33.85 +CPU time used : 00:00:43.73 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.79 -p-value of test : 0.21 +Normal statistic : -0.30 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:00:38.50 +CPU time used : 00:00:43.57 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 0.18 -p-value of test : 0.43 +Normal statistic : -0.89 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:02:01.34 +CPU time used : 00:02:25.94 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -0.43 -p-value of test : 0.67 +Normal statistic : -1.46 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:02:06.50 +CPU time used : 00:02:30.60 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 55.91 -p-value of test : 0.83 +Chi-square statistic : 56.30 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:01:25.81 +CPU time used : 00:01:43.95 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 54.53 -p-value of test : 0.86 +Chi-square statistic : 57.67 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:01:36.26 +CPU time used : 00:02:11.88 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 63.48 -p-value of test : 0.60 +Chi-square statistic : 56.37 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:01:37.78 +CPU time used : 00:02:09.37 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 28.72 -p-value of test : 0.83 +Chi-square statistic : 30.08 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:01:24.95 +CPU time used : 00:01:42.53 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 43.65 -p-value of test : 0.21 +Chi-square statistic : 35.36 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:01:38.87 +CPU time used : 00:02:10.04 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 29.71 -p-value of test : 0.80 +Chi-square statistic : 29.89 +p-value of test : 0.79 ----------------------------------------------- -CPU time used : 00:01:37.88 +CPU time used : 00:02:08.90 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 26.44 -p-value of test : 0.60 +Chi-square statistic : 39.36 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:02:46.09 +CPU time used : 00:03:19.93 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.26 -p-value of test : 0.21 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.75 -Kolmogorov-Smirnov- statistic = D- : 6.85e-3 -p-value of test : 0.9927 +Kolmogorov-Smirnov- statistic = D- : 0.26 +p-value of test : 0.22 -Anderson-Darling statistic = A2 : 1.97 -p-value of test : 0.10 +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 : 40 -Chi-square statistic : 26.18 -p-value of test : 0.95 +Chi-square statistic : 43.39 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:01:22.87 +CPU time used : 00:01:51.23 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.27 -p-value of test : 0.20 +Kolmogorov-Smirnov+ statistic = D+ : 0.22 +p-value of test : 0.32 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.64 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.71 -Anderson-Darling statistic = A2 : 0.85 -p-value of test : 0.44 +Anderson-Darling statistic = A2 : 0.53 +p-value of test : 0.71 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 30.14 -p-value of test : 0.87 +Chi-square statistic : 32.96 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:01:25.53 +CPU time used : 00:01:51.14 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 2.30 -p-value of test : 0.51 +Chi-square statistic : 1.81 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:02:11.29 +CPU time used : 00:03:05.29 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 2.38 -p-value of test : 0.50 +Chi-square statistic : 1.61 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:02:27.00 +CPU time used : 00:03:05.05 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.66 -p-value of test : 0.72 +Chi-square statistic : 2.19 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:01:34.88 +CPU time used : 00:02:07.95 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 1.25 -p-value of test : 0.54 +Chi-square statistic : 6.19 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:01:18.23 +CPU time used : 00:01:43.61 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.55 +Kolmogorov-Smirnov+ statistic = D+ : 0.34 +p-value of test : 0.08 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.35 +Kolmogorov-Smirnov- statistic = D- : 0.016 +p-value of test : 0.98 -Anderson-Darling statistic = A2 : 0.57 -p-value of test : 0.67 +Anderson-Darling statistic = A2 : 2.18 +p-value of test : 0.07 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 138.86 -p-value of test : 0.28 +Chi-square statistic : 103.97 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:01:02.64 +CPU time used : 00:01:12.72 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.62 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.37 -Kolmogorov-Smirnov- statistic = D- : 0.091 -p-value of test : 0.80 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.56 -Anderson-Darling statistic = A2 : 0.25 -p-value of test : 0.97 +Anderson-Darling statistic = A2 : 0.72 +p-value of test : 0.54 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17356.71 -p-value of test : 0.65 +Chi-square statistic :17585.89 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:01:53.31 +CPU time used : 00:02:02.72 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 : 44.08 -p-value of test : 0.17 +ChiSquare statistic : 40.22 +p-value of test : 0.29 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 26.05 -p-value of test : 0.86 +ChiSquare statistic : 42.99 +p-value of test : 0.17 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 15.35 -p-value of test : 0.93 +ChiSquare statistic : 30.36 +p-value of test : 0.21 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 20.84 -p-value of test : 0.65 +ChiSquare statistic : 26.86 +p-value of test : 0.31 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 22.38 -p-value of test : 0.17 +ChiSquare statistic : 9.71 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:00:52.59 +CPU time used : 00:01:01.02 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 : 25.16 -p-value of test : 0.91 +ChiSquare statistic : 42.36 +p-value of test : 0.22 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 32.23 -p-value of test : 0.60 +ChiSquare statistic : 43.15 +p-value of test : 0.16 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 29.73 -p-value of test : 0.23 +ChiSquare statistic : 26.46 +p-value of test : 0.38 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 14.61 -p-value of test : 0.93 +ChiSquare statistic : 23.63 +p-value of test : 0.48 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 27.42 -p-value of test : 0.05 +ChiSquare statistic : 20.81 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:00:56.36 +CPU time used : 00:01:02.79 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 : 146.80 -p-value of test : 0.47 +ChiSquare statistic : 133.97 +p-value of test : 0.75 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 136.73 -p-value of test : 0.70 +ChiSquare statistic : 166.17 +p-value of test : 0.12 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 505.13 -p-value of test : 0.43 +ChiSquare statistic : 476.74 +p-value of test : 0.77 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 142.38 -p-value of test : 0.34 +ChiSquare statistic : 134.19 +p-value of test : 0.53 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 76.79 -p-value of test : 0.39 +ChiSquare statistic : 84.11 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:01:00.07 +CPU time used : 00:01:19.27 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 : 170.66 -p-value of test : 0.08 +ChiSquare statistic : 130.67 +p-value of test : 0.81 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 121.85 -p-value of test : 0.93 +ChiSquare statistic : 123.67 +p-value of test : 0.91 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 451.52 -p-value of test : 0.94 +ChiSquare statistic : 479.23 +p-value of test : 0.74 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 144.44 -p-value of test : 0.29 +ChiSquare statistic : 149.34 +p-value of test : 0.20 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 74.50 -p-value of test : 0.46 +ChiSquare statistic : 66.91 +p-value of test : 0.71 ----------------------------------------------- -CPU time used : 00:01:00.50 +CPU time used : 00:01:19.79 Generator state: N/A @@ -2808,44 +2808,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 384 -ChiSquare statistic : 397.90 -p-value of test : 0.30 +ChiSquare statistic : 368.33 +p-value of test : 0.71 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 347.57 -p-value of test : 0.91 +ChiSquare statistic : 362.68 +p-value of test : 0.78 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4899.86 -p-value of test : 0.84 +ChiSquare statistic : 5091.22 +p-value of test : 0.18 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 378.36 -p-value of test : 0.49 +ChiSquare statistic : 355.90 +p-value of test : 0.79 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 196.15 -p-value of test : 0.56 +ChiSquare statistic : 217.17 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:00:50.51 +CPU time used : 00:01:05.90 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 : 369.01 -p-value of test : 0.70 +ChiSquare statistic : 420.53 +p-value of test : 0.10 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 370.06 -p-value of test : 0.69 +ChiSquare statistic : 379.94 +p-value of test : 0.55 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4939.69 -p-value of test : 0.73 +ChiSquare statistic : 4866.92 +p-value of test : 0.91 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 386.04 -p-value of test : 0.38 +ChiSquare statistic : 396.79 +p-value of test : 0.24 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 216.47 -p-value of test : 0.20 +ChiSquare statistic : 203.75 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:00:52.92 +CPU time used : 00:01:06.40 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 17.05 -p-value of test : 0.15 +Chi2 statistic for size of jumps : 7.86 +p-value of test : 0.80 ----------------------------------------------- -Normal statistic for number of jumps : -402.71 +Normal statistic for number of jumps : -402.86 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:07.80 +CPU time used : 00:00:11.02 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 6.30 -p-value of test : 0.90 +Chi2 statistic for size of jumps : 22.16 +p-value of test : 0.04 ----------------------------------------------- -Normal statistic for number of jumps : -402.72 +Normal statistic for number of jumps : -403.14 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:07.81 +CPU time used : 00:00:11.09 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.44 +Kolmogorov-Smirnov+ statistic = D+ : 0.24 +p-value of test : 0.27 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.68 +Kolmogorov-Smirnov- statistic = D- : 0.26 +p-value of test : 0.22 -Anderson-Darling statistic = A2 : 0.51 -p-value of test : 0.73 +Anderson-Darling statistic = A2 : 0.89 +p-value of test : 0.42 Tests on the sum of all N observations -Standardized normal statistic : -0.44 -p-value of test : 0.67 +Standardized normal statistic : 0.24 +p-value of test : 0.40 -Sample variance : 0.47 -p-value of test : 0.89 +Sample variance : 1.50 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:00:56.12 +CPU time used : 00:01:04.95 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.56 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.43 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.45 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.66 -Anderson-Darling statistic = A2 : 0.50 -p-value of test : 0.74 +Anderson-Darling statistic = A2 : 0.45 +p-value of test : 0.79 Tests on the sum of all N observations -Standardized normal statistic : -0.022 -p-value of test : 0.51 +Standardized normal statistic : -0.30 +p-value of test : 0.62 -Sample variance : 0.64 -p-value of test : 0.76 +Sample variance : 0.89 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:00:58.20 +CPU time used : 00:01:09.56 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.020 -p-value of test : 0.04 +Kolmogorov-Smirnov+ statistic = D+ : 0.015 +p-value of test : 0.17 -Kolmogorov-Smirnov- statistic = D- : 9.81e-3 -p-value of test : 0.45 +Kolmogorov-Smirnov- statistic = D- : 6.07e-3 +p-value of test : 0.74 -Anderson-Darling statistic = A2 : 1.11 -p-value of test : 0.30 +Anderson-Darling statistic = A2 : 0.75 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:00:46.63 +CPU time used : 00:00:57.16 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.020 -p-value of test : 0.04 +Kolmogorov-Smirnov+ statistic = D+ : 7.71e-3 +p-value of test : 0.61 -Kolmogorov-Smirnov- statistic = D- : 8.30e-3 -p-value of test : 0.57 +Kolmogorov-Smirnov- statistic = D- : 8.60e-3 +p-value of test : 0.54 -Anderson-Darling statistic = A2 : 1.36 -p-value of test : 0.21 +Anderson-Darling statistic = A2 : 0.38 +p-value of test : 0.87 ----------------------------------------------- -CPU time used : 00:00:46.34 +CPU time used : 00:00:56.18 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 5.93 -p-value of test : 0.65 +Chi-square statistic : 3.98 +p-value of test : 0.86 ----------------------------------------------- -Global longest run of 1 : 31.00 -p-value of test : 0.69 +Global longest run of 1 : 35.00 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:01:41.50 +CPU time used : 00:01:54.77 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 12.56 -p-value of test : 0.13 +Chi-square statistic : 4.13 +p-value of test : 0.85 ----------------------------------------------- -Global longest run of 1 : 32.00 -p-value of test : 0.50 +Global longest run of 1 : 33.00 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:01:46.00 +CPU time used : 00:01:57.52 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.100 -p-value of test : 0.76 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.73 -Kolmogorov-Smirnov- statistic = D- : 0.42 -p-value of test : 0.02 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.38 -Anderson-Darling statistic = A2 : 1.91 -p-value of test : 0.10 +Anderson-Darling statistic = A2 : 0.35 +p-value of test : 0.89 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 221.78 -p-value of test : 0.14 +Chi-square statistic : 203.53 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:02:46.95 +CPU time used : 00:03:31.04 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.47 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.76 -Kolmogorov-Smirnov- statistic = D- : 0.19 -p-value of test : 0.42 +Kolmogorov-Smirnov- statistic = D- : 0.41 +p-value of test : 0.02 -Anderson-Darling statistic = A2 : 0.54 -p-value of test : 0.70 +Anderson-Darling statistic = A2 : 1.97 +p-value of test : 0.10 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 193.27 -p-value of test : 0.62 +Chi-square statistic : 221.25 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:02:49.84 +CPU time used : 00:03:34.47 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.26 -p-value of test : 0.23 +Kolmogorov-Smirnov+ statistic = D+ : 0.32 +p-value of test : 0.10 -Kolmogorov-Smirnov- statistic = D- : 0.10 -p-value of test : 0.75 +Kolmogorov-Smirnov- statistic = D- : 0.066 +p-value of test : 0.88 -Anderson-Darling statistic = A2 : 0.69 -p-value of test : 0.56 +Anderson-Darling statistic = A2 : 1.48 +p-value of test : 0.18 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9886.36 -p-value of test : 0.79 +Chi-square statistic : 9774.46 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:01:09.12 +CPU time used : 00:01:18.06 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.35 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.69 -Kolmogorov-Smirnov- statistic = D- : 0.047 -p-value of test : 0.93 +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.24 -Anderson-Darling statistic = A2 : 0.58 -p-value of test : 0.66 +Anderson-Darling statistic = A2 : 0.83 +p-value of test : 0.46 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9875.89 -p-value of test : 0.81 +Chi-square statistic :10142.85 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:01:09.02 +CPU time used : 00:01:21.04 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.66 -p-value of test : 0.25 +Normal statistic : 0.25 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:01:22.06 +CPU time used : 00:01:33.59 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.95 -p-value of test : 0.17 +Normal statistic : 0.43 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:01:19.70 +CPU time used : 00:01:28.31 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.69 -p-value of test : 0.24 +Normal statistic : -1.83 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:05:13.12 +CPU time used : 00:05:44.84 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.27 -p-value of test : 0.19 +Kolmogorov-Smirnov+ statistic = D+ : 0.39 +p-value of test : 0.04 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.51 +Kolmogorov-Smirnov- statistic = D- : 0.054 +p-value of test : 0.91 -Anderson-Darling statistic = A2 : 0.71 -p-value of test : 0.55 +Anderson-Darling statistic = A2 : 2.00 +p-value of test : 0.09 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4867.92 -p-value of test : 0.59 +Chi-square statistic : 4710.10 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:02:09.87 +CPU time used : 00:02:31.68 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.070 -p-value of test : 0.87 +Kolmogorov-Smirnov+ statistic = D+ : 0.31 +p-value of test : 0.12 -Kolmogorov-Smirnov- statistic = D- : 0.24 -p-value of test : 0.27 +Kolmogorov-Smirnov- statistic = D- : 0.093 +p-value of test : 0.79 -Anderson-Darling statistic = A2 : 0.59 -p-value of test : 0.65 +Anderson-Darling statistic = A2 : 1.55 +p-value of test : 0.16 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4959.03 -p-value of test : 0.24 +Chi-square statistic : 4783.10 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:02:14.50 +CPU time used : 00:02:35.40 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 : 4043.58 -p-value of test : 0.79 +Chi-square statistic : 4152.95 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:01:36.80 +CPU time used : 00:01:51.18 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 : 4097.80 -p-value of test : 0.58 +Chi-square statistic : 4076.17 +p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:01:40.04 +CPU time used : 00:01:54.38 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 :11605.55 -p-value of test : 0.92 +Chi-square statistic :11912.32 +p-value of test : 0.28 ----------------------------------------------- -CPU time used : 00:01:46.31 +CPU time used : 00:02:00.75 Generator state: N/A @@ -3549,11 +3549,11 @@ s
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