http://git-wip-us.apache.org/repos/asf/commons-rng/blob/a61e17b9/src/site/resources/txt/userguide/stress/tu/run_3/tu_12 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_3/tu_12 b/src/site/resources/txt/userguide/stress/tu/run_3/tu_12 index 8479b21..56da922 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_3/tu_12 +++ b/src/site/resources/txt/userguide/stress/tu/run_3/tu_12 @@ -1,9 +1,9 @@ # -# RNG: org.apache.commons.rng.internal.source64.XorShift1024Star +# RNG: org.apache.commons.rng.core.source64.XorShift1024Star # -# Java: 1.8.0_66 -# Runtime: 1.8.0_66-b17 -# JVM: Java HotSpot(TM) 64-Bit Server VM 25.66-b17 +# Java: 1.8.0_111 +# Runtime: 1.8.0_111-b14 +# JVM: Java HotSpot(TM) 64-Bit Server VM 25.111-b14 # OS: Linux 3.16.0-4-amd64 amd64 # # Analyzer: ./stdin2testu01 BigCrush @@ -42,11 +42,11 @@ Test Results for Delta = 1.0000 Number of degrees of freedom : 16711680 Value of the statistic : 1.67e+7 -p-value of test : 0.56 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:02:26.72 +CPU time used : 00:02:32.55 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 : 0.97 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:02:15.19 +CPU time used : 00:02:20.49 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 : 1354 -p-value of test : 0.60 +Observed number of collisions : 1356 +p-value of test : 0.58 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334474 - j = 1 : 599997292 - j = 2 : 1354 + j = 0 : 131940795334476 + j = 1 : 599997288 + j = 2 : 1356 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:17.23 +CPU time used : 00:03:45.70 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 : 1316 -p-value of test : 0.90 +Observed number of collisions : 1354 +p-value of test : 0.60 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334436 - j = 1 : 599997368 - j = 2 : 1316 + j = 0 : 131940795334474 + j = 1 : 599997292 + j = 2 : 1354 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:30.77 +CPU time used : 00:03:58.89 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 : 1368 -p-value of test : 0.46 +Observed number of collisions : 1279 +p-value of test : 0.99 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334488 - j = 1 : 599997264 - j = 2 : 1368 + j = 0 : 131940795334399 + j = 1 : 599997442 + j = 2 : 1279 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:06.66 +CPU time used : 00:06:02.32 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 : 1316 -p-value of test : 0.90 +Observed number of collisions : 1409 +p-value of test : 0.12 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334436 - j = 1 : 599997368 - j = 2 : 1316 + j = 0 : 131940795334529 + j = 1 : 599997182 + j = 2 : 1409 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:06.44 +CPU time used : 00:05:28.13 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 : 1424 -p-value of test : 0.06 +Observed number of collisions : 1353 +p-value of test : 0.61 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334544 - j = 1 : 599997152 - j = 2 : 1424 + j = 0 : 131940795334473 + j = 1 : 599997294 + j = 2 : 1353 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:34.72 +CPU time used : 00:06:16.25 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 : 1384 -p-value of test : 0.30 +Observed number of collisions : 1425 +p-value of test : 0.05 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334504 - j = 1 : 599997232 - j = 2 : 1384 + j = 0 : 131940795334545 + j = 1 : 599997150 + j = 2 : 1425 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:27.32 +CPU time used : 00:05:17.96 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 : 1375 -p-value of test : 0.39 +Observed number of collisions : 1383 +p-value of test : 0.31 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334495 - j = 1 : 599997250 - j = 2 : 1375 + j = 0 : 131940795334503 + j = 1 : 599997234 + j = 2 : 1383 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:36.46 +CPU time used : 00:05:33.17 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 : 1385 -p-value of test : 0.29 +Observed number of collisions : 1339 +p-value of test : 0.75 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334505 - j = 1 : 599997230 - j = 2 : 1385 + j = 0 : 131940795334459 + j = 1 : 599997322 + j = 2 : 1339 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:54.57 +CPU time used : 00:08:57.03 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 : 1347 -p-value of test : 0.67 +Observed number of collisions : 1283 +p-value of test : 0.99 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334467 - j = 1 : 599997306 - j = 2 : 1347 + j = 0 : 131940795334403 + j = 1 : 599997434 + j = 2 : 1283 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:19.34 +CPU time used : 00:07:16.67 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 : 1395 -p-value of test : 0.21 +Observed number of collisions : 1462 +p-value of test : 4.6e-3 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334515 - j = 1 : 599997210 - j = 2 : 1395 + j = 0 : 131940795334582 + j = 1 : 599997076 + j = 2 : 1462 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:48.15 +CPU time used : 00:08:01.75 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5327 -p-value of test : 0.90 +Total observed number : 5432 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:04:24.69 +CPU time used : 00:05:06.23 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4293 -p-value of test : 0.74 +Total observed number : 4292 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:01:53.94 +CPU time used : 00:02:14.72 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7359 -p-value of test : 0.32 +Total observed number : 7262 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:03:13.73 +CPU time used : 00:03:45.59 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4338 -p-value of test : 0.49 +Total observed number : 4292 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:02:19.82 +CPU time used : 00:02:42.06 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4432 -p-value of test : 0.08 +Total observed number : 4371 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:02:26.06 +CPU time used : 00:02:55.01 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7265 -p-value of test : 0.73 +Total observed number : 7259 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:03:48.10 +CPU time used : 00:04:26.86 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7212 -p-value of test : 0.89 +Total observed number : 7351 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:03:55.94 +CPU time used : 00:04:18.56 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7352 -p-value of test : 0.35 +Total observed number : 7407 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:05:02.18 +CPU time used : 00:05:44.89 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7285 -p-value of test : 0.65 +Total observed number : 7323 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:05:37.48 +CPU time used : 00:05:54.02 Generator state: N/A @@ -887,34 +887,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 1.15 -p-value of test : 0.29 +Stat. AD on the N values (NP) : 1.28 +p-value of test : 0.24 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 1.87 -p-value of test : 0.11 +A2 test on the values of A2 (m-NP) : 1.04 +p-value of test : 0.34 -Test on the Nm values of W_{n,i}(mNP1): 2.03 -p-value of test : 0.09 +Test on the Nm values of W_{n,i}(mNP1): 0.54 +p-value of test : 0.71 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 971 -p-value of test : 0.01 +Number of jumps of Y : 917 +p-value of test : 0.29 -Stat. AD (mNP2) : 0.46 -p-value of test : 0.79 +Stat. AD (mNP2) : 1.54 +p-value of test : 0.17 -Stat. AD after spacings (mNP2-S) : 0.87 -p-value of test : 0.44 +Stat. AD after spacings (mNP2-S) : 2.20 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:03:09.11 +CPU time used : 00:03:36.64 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) : 0.77 -p-value of test : 0.50 +Stat. AD on the N values (NP) : 0.88 +p-value of test : 0.42 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) : 1.52 -p-value of test : 0.17 +A2 test on the values of A2 (m-NP) : 1.33 +p-value of test : 0.22 -Test on the Nm values of W_{n,i}(mNP1): 1.31 -p-value of test : 0.23 +Test on the Nm values of W_{n,i}(mNP1): 2.18 +p-value of test : 0.07 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 584 -p-value of test : 0.74 +Number of jumps of Y : 634 +p-value of test : 0.09 -Stat. AD (mNP2) : 1.55 -p-value of test : 0.16 +Stat. AD (mNP2) : 0.99 +p-value of test : 0.37 -Stat. AD after spacings (mNP2-S) : 0.61 -p-value of test : 0.64 +Stat. AD after spacings (mNP2-S) : 0.73 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:02:04.14 +CPU time used : 00:02:06.51 Generator state: N/A @@ -983,8 +983,8 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 3.58 -p-value of test : 0.01 +Stat. AD on the N values (NP) : 0.77 +p-value of test : 0.50 A2 test based on the spacings between the @@ -993,24 +993,24 @@ A2 test based on the spacings between the A2 test on the values of A2 (m-NP) : 0.30 p-value of test : 0.94 -Test on the Nm values of W_{n,i}(mNP1): 1.50 -p-value of test : 0.18 +Test on the Nm values of W_{n,i}(mNP1): 0.70 +p-value of test : 0.56 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 313 -p-value of test : 0.23 +Number of jumps of Y : 268 +p-value of test : 0.97 -Stat. AD (mNP2) : 0.87 -p-value of test : 0.43 +Stat. AD (mNP2) : 1.18 +p-value of test : 0.28 -Stat. AD after spacings (mNP2-S) : 0.68 -p-value of test : 0.58 +Stat. AD after spacings (mNP2-S) : 0.75 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:02:59.19 +CPU time used : 00:03:07.11 Generator state: N/A @@ -1031,34 +1031,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 1.84 -p-value of test : 0.11 +Stat. AD on the N values (NP) : 0.46 +p-value of test : 0.78 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) : 3.34 -p-value of test : 0.02 +A2 test on the values of A2 (m-NP) : 0.73 +p-value of test : 0.53 -Test on the Nm values of W_{n,i}(mNP1): 2.30 -p-value of test : 0.06 +Test on the Nm values of W_{n,i}(mNP1): 1.57 +p-value of test : 0.16 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 174 -p-value of test : 0.03 +Number of jumps of Y : 138 +p-value of test : 0.83 -Stat. AD (mNP2) : 1.15 -p-value of test : 0.29 +Stat. AD (mNP2) : 0.49 +p-value of test : 0.76 -Stat. AD after spacings (mNP2-S) : 0.45 -p-value of test : 0.80 +Stat. AD after spacings (mNP2-S) : 2.01 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:03:15.10 +CPU time used : 00:03:22.32 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 5.26 -p-value of test : 0.63 +Chi-square statistic : 8.17 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:01:18.47 +CPU time used : 00:01:22.22 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 14.70 -p-value of test : 0.04 +Chi-square statistic : 1.66 +p-value of test : 0.98 ----------------------------------------------- -CPU time used : 00:01:31.17 +CPU time used : 00:01:39.97 Generator state: N/A @@ -1130,7 +1130,7 @@ Chi-square statistic : 14.60 p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:20.47 +CPU time used : 00:01:27.42 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 24.00 -p-value of test : 0.15 +Chi-square statistic : 17.17 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:01:31.97 +CPU time used : 00:01:45.25 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 68.29 -p-value of test : 0.09 +Chi-square statistic : 69.39 +p-value of test : 0.08 ----------------------------------------------- -CPU time used : 00:01:45.80 +CPU time used : 00:02:01.97 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 40.48 -p-value of test : 0.91 +Chi-square statistic : 47.87 +p-value of test : 0.71 ----------------------------------------------- -CPU time used : 00:02:00.63 +CPU time used : 00:02:20.06 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 60.87 -p-value of test : 0.24 +Chi-square statistic : 74.11 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:01:56.82 +CPU time used : 00:02:15.43 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 45.30 -p-value of test : 0.79 +Chi-square statistic : 42.24 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:02:04.75 +CPU time used : 00:02:12.13 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 218.02 -p-value of test : 0.74 +Chi-square statistic : 236.41 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:02:23.02 +CPU time used : 00:02:54.75 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 441.24 -p-value of test : 0.39 +Chi-square statistic : 440.97 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:03:25.05 +CPU time used : 00:04:04.73 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1459.48 -p-value of test : 0.33 +Chi-square statistic : 1375.33 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:03:35.50 +CPU time used : 00:04:26.51 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 6946.40 -p-value of test : 0.80 +Chi-square statistic : 7097.13 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:03:26.18 +CPU time used : 00:04:10.00 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.068 -p-value of test : 0.91 +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.58 -Kolmogorov-Smirnov- statistic = D- : 0.34 -p-value of test : 0.25 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.56 -Anderson-Darling statistic = A2 : 0.67 -p-value of test : 0.58 +Anderson-Darling statistic = A2 : 0.37 +p-value of test : 0.87 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 35.31 -p-value of test : 0.23 +Chi-square statistic : 28.40 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:01:42.40 +CPU time used : 00:02:16.22 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.032 -p-value of test : 0.96 +Kolmogorov-Smirnov+ statistic = D+ : 0.23 +p-value of test : 0.30 -Kolmogorov-Smirnov- statistic = D- : 0.29 -p-value of test : 0.15 +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.33 -Anderson-Darling statistic = A2 : 1.48 -p-value of test : 0.18 +Anderson-Darling statistic = A2 : 0.70 +p-value of test : 0.55 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 76.98 -p-value of test : 0.07 +Chi-square statistic : 54.55 +p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:04:24.57 +CPU time used : 00:05:14.62 Generator state: N/A @@ -1450,12 +1450,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5 -Value of the statistic : 6.05 -p-value of test : 0.30 +Value of the statistic : 13.24 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:01:15.64 +CPU time used : 00:01:30.19 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 : 139.02 -p-value of test : 0.10 +Value of the statistic : 103.83 +p-value of test : 0.84 ----------------------------------------------- -CPU time used : 00:02:06.67 +CPU time used : 00:02:35.29 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 : 5076.58 -p-value of test : 0.35 +Value of the statistic : 4896.82 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:01:26.20 +CPU time used : 00:01:52.01 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 : 0.16 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:02:54.94 +CPU time used : 00:03:23.30 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 : 45467 -p-value of test : 0.97 +Observed number of collisions : 45784 +p-value of test : 0.67 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869467 - j = 1 : 399909071 - j = 2 : 45457 - j = 3 : 5 + j = 0 : 1743165869784 + j = 1 : 399908435 + j = 2 : 45778 + j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:07.53 +CPU time used : 00:04:56.37 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 : 45846 -p-value of test : 0.56 +Observed number of collisions : 46350 +p-value of test : 0.01 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869846 - j = 1 : 399908309 - j = 2 : 45844 - j = 3 : 1 + j = 0 : 1743165870350 + j = 1 : 399907302 + j = 2 : 46346 + j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:50.56 +CPU time used : 00:04:55.50 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.10 -p-value of test : 0.41 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.09 -Kolmogorov-Smirnov- statistic = D- : 0.047 -p-value of test : 0.81 +Kolmogorov-Smirnov- statistic = D- : 8.41e-3 +p-value of test : 0.99 -Anderson-Darling statistic = A2 : 0.72 -p-value of test : 0.54 +Anderson-Darling statistic = A2 : 1.37 +p-value of test : 0.21 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.82 +p-value of test : 0.94 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.091 -p-value of test : 0.49 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.25 -Kolmogorov-Smirnov- statistic = D- : 0.099 -p-value of test : 0.43 +Kolmogorov-Smirnov- statistic = D- : 0.015 +p-value of test : 0.97 -Anderson-Darling statistic = A2 : 0.54 -p-value of test : 0.70 +Anderson-Darling statistic = A2 : 0.55 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:03:27.62 +CPU time used : 00:04:27.70 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.36 +Kolmogorov-Smirnov+ statistic = D+ : 0.084 +p-value of test : 0.62 -Kolmogorov-Smirnov- statistic = D- : 0.054 -p-value of test : 0.81 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.51 -Anderson-Darling statistic = A2 : 0.48 -p-value of test : 0.77 +Anderson-Darling statistic = A2 : 0.23 +p-value of test : 0.98 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.74 +p-value of test : 0.54 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.071 -p-value of test : 0.70 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.39 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.37 +Kolmogorov-Smirnov- statistic = D- : 0.096 +p-value of test : 0.54 -Anderson-Darling statistic = A2 : 0.63 -p-value of test : 0.61 +Anderson-Darling statistic = A2 : 0.80 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:03:13.10 +CPU time used : 00:04:03.90 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.021 -p-value of test : 0.97 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.55 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.16 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.41 -Anderson-Darling statistic = A2 : 1.12 -p-value of test : 0.30 +Anderson-Darling statistic = A2 : 0.52 +p-value of test : 0.73 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.07 +p-value of test : 0.47 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.40 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.61 -Kolmogorov-Smirnov- statistic = D- : 0.096 -p-value of test : 0.65 +Kolmogorov-Smirnov- statistic = D- : 0.097 +p-value of test : 0.64 -Anderson-Darling statistic = A2 : 0.51 -p-value of test : 0.73 +Anderson-Darling statistic = A2 : 0.34 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:02:31.89 +CPU time used : 00:03:09.42 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.091 -p-value of test : 0.68 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.53 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.16 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.29 -Anderson-Darling statistic = A2 : 0.69 -p-value of test : 0.57 +Anderson-Darling statistic = A2 : 0.57 +p-value of test : 0.68 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.31 +p-value of test : 0.54 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.32 +Kolmogorov-Smirnov+ statistic = D+ : 0.079 +p-value of test : 0.74 -Kolmogorov-Smirnov- statistic = D- : 0.078 -p-value of test : 0.75 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.42 -Anderson-Darling statistic = A2 : 0.86 -p-value of test : 0.44 +Anderson-Darling statistic = A2 : 0.44 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:02:58.36 +CPU time used : 00:03:41.47 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.18 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.06 -Kolmogorov-Smirnov- statistic = D- : 0.056 -p-value of test : 0.75 +Kolmogorov-Smirnov- statistic = D- : 0.048 +p-value of test : 0.81 -Anderson-Darling statistic = A2 : 0.95 -p-value of test : 0.39 +Anderson-Darling statistic = A2 : 1.13 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:02:27.65 +CPU time used : 00:03:57.61 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.34 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.29 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.39 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.54 -Anderson-Darling statistic = A2 : 0.56 -p-value of test : 0.68 +Anderson-Darling statistic = A2 : 0.69 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:01:47.01 +CPU time used : 00:02:35.86 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.013 -p-value of test : 0.98 +Kolmogorov-Smirnov+ statistic = D+ : 0.25 +p-value of test : 0.07 -Kolmogorov-Smirnov- statistic = D- : 0.22 -p-value of test : 0.13 +Kolmogorov-Smirnov- statistic = D- : 0.037 +p-value of test : 0.93 -Anderson-Darling statistic = A2 : 0.89 -p-value of test : 0.42 +Anderson-Darling statistic = A2 : 1.72 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:02:16.28 +CPU time used : 00:03:12.30 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.66e-4 -p-value of test : 0.33 +Kolmogorov-Smirnov+ statistic = D+ : 8.69e-5 +p-value of test : 0.74 -Kolmogorov-Smirnov- statistic = D- : 8.20e-5 -p-value of test : 0.76 +Kolmogorov-Smirnov- statistic = D- : 2.13e-4 +p-value of test : 0.16 -Anderson-Darling statistic = A2 : 0.54 -p-value of test : 0.70 +Anderson-Darling statistic = A2 : 0.83 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:00:33.47 +CPU time used : 00:00:37.68 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.17e-4 -p-value of test : 0.58 +Kolmogorov-Smirnov+ statistic = D+ : 1.53e-4 +p-value of test : 0.39 -Kolmogorov-Smirnov- statistic = D- : 1.34e-4 -p-value of test : 0.49 +Kolmogorov-Smirnov- statistic = D- : 2.19e-4 +p-value of test : 0.15 -Anderson-Darling statistic = A2 : 0.37 -p-value of test : 0.88 +Anderson-Darling statistic = A2 : 0.98 +p-value of test : 0.37 ----------------------------------------------- -CPU time used : 00:00:35.59 +CPU time used : 00:00:39.45 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.47 -p-value of test : 0.32 +Normal statistic : 0.65 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:00:39.63 +CPU time used : 00:00:40.71 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.14 -p-value of test : 0.45 +Normal statistic : 2.46 +p-value of test : 7.0e-3 ----------------------------------------------- -CPU time used : 00:00:35.82 +CPU time used : 00:00:44.12 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -1.38 -p-value of test : 0.92 +Normal statistic : -1.17 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:02:08.29 +CPU time used : 00:03:11.70 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 2.14 -p-value of test : 0.02 +Normal statistic : -0.32 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:02:15.07 +CPU time used : 00:03:28.12 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 57.37 -p-value of test : 0.79 +Chi-square statistic : 81.58 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:01:31.09 +CPU time used : 00:01:43.20 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 80.49 -p-value of test : 0.12 +Chi-square statistic : 70.52 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:01:52.81 +CPU time used : 00:02:04.47 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 79.51 -p-value of test : 0.14 +Chi-square statistic : 61.04 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:01:58.95 +CPU time used : 00:02:05.57 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 25.57 -p-value of test : 0.92 +Chi-square statistic : 34.38 +p-value of test : 0.59 ----------------------------------------------- -CPU time used : 00:01:22.62 +CPU time used : 00:01:45.93 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 29.92 -p-value of test : 0.79 +Chi-square statistic : 33.56 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:01:46.39 +CPU time used : 00:02:03.03 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 30.72 -p-value of test : 0.76 +Chi-square statistic : 44.87 +p-value of test : 0.18 ----------------------------------------------- -CPU time used : 00:01:49.37 +CPU time used : 00:02:04.98 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 32.09 +Chi-square statistic : 31.94 p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:02:53.53 +CPU time used : 00:03:26.59 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.055 -p-value of test : 0.91 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.44 -Kolmogorov-Smirnov- statistic = D- : 0.36 -p-value of test : 0.05 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.64 -Anderson-Darling statistic = A2 : 2.16 -p-value of test : 0.08 +Anderson-Darling statistic = A2 : 0.43 +p-value of test : 0.82 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 54.68 -p-value of test : 0.06 +Chi-square statistic : 35.20 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:30.72 +CPU time used : 00:01:35.76 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.24 -p-value of test : 0.27 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.48 -Kolmogorov-Smirnov- statistic = D- : 0.079 -p-value of test : 0.84 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.49 -Anderson-Darling statistic = A2 : 0.49 -p-value of test : 0.75 +Anderson-Darling statistic = A2 : 0.43 +p-value of test : 0.82 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 36.22 -p-value of test : 0.64 +Chi-square statistic : 42.58 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:01:23.47 +CPU time used : 00:01:30.20 Generator state: N/A @@ -2400,7 +2400,7 @@ Chi-square statistic : 2.55 p-value of test : 0.47 ----------------------------------------------- -CPU time used : 00:02:06.55 +CPU time used : 00:02:50.26 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 1.13 -p-value of test : 0.77 +Chi-square statistic : 3.15 +p-value of test : 0.37 ----------------------------------------------- -CPU time used : 00:02:21.79 +CPU time used : 00:02:26.15 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.77 -p-value of test : 0.68 +Chi-square statistic : 0.59 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:01:35.36 +CPU time used : 00:01:46.78 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 2.81 -p-value of test : 0.25 +Chi-square statistic : 3.19 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:01:17.62 +CPU time used : 00:01:23.79 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.37 +Kolmogorov-Smirnov+ statistic = D+ : 0.041 +p-value of test : 0.94 -Kolmogorov-Smirnov- statistic = D- : 0.085 -p-value of test : 0.82 +Kolmogorov-Smirnov- statistic = D- : 0.38 +p-value of test : 0.04 -Anderson-Darling statistic = A2 : 0.47 -p-value of test : 0.77 +Anderson-Darling statistic = A2 : 2.65 +p-value of test : 0.04 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 119.84 -p-value of test : 0.73 +Chi-square statistic : 168.89 +p-value of test : 0.01 ----------------------------------------------- -CPU time used : 00:01:01.72 +CPU time used : 00:01:07.14 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.090 -p-value of test : 0.80 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.67 -Kolmogorov-Smirnov- statistic = D- : 0.36 -p-value of test : 0.06 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.70 -Anderson-Darling statistic = A2 : 1.58 -p-value of test : 0.16 +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 : 17430 -Chi-square statistic :17726.24 -p-value of test : 0.06 +Chi-square statistic :17431.80 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:01:52.51 +CPU time used : 00:01:56.51 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 : 46.46 -p-value of test : 0.11 +ChiSquare statistic : 42.17 +p-value of test : 0.22 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 27.66 -p-value of test : 0.81 +ChiSquare statistic : 31.02 +p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 26.11 -p-value of test : 0.40 +ChiSquare statistic : 21.15 +p-value of test : 0.68 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 23.36 -p-value of test : 0.50 +ChiSquare statistic : 27.92 +p-value of test : 0.26 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 12.38 -p-value of test : 0.78 +ChiSquare statistic : 29.30 +p-value of test : 0.03 ----------------------------------------------- -CPU time used : 00:00:45.05 +CPU time used : 00:00:54.64 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 : 29.17 -p-value of test : 0.78 +ChiSquare statistic : 44.79 +p-value of test : 0.15 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 37.12 -p-value of test : 0.37 +ChiSquare statistic : 47.96 +p-value of test : 0.07 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 31.83 -p-value of test : 0.16 +ChiSquare statistic : 13.19 +p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 30.95 -p-value of test : 0.16 +ChiSquare statistic : 22.38 +p-value of test : 0.56 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 12.40 -p-value of test : 0.78 +ChiSquare statistic : 14.88 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:00:46.20 +CPU time used : 00:00:53.84 Generator state: N/A @@ -2688,7 +2688,7 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 146 -ChiSquare statistic : 150.31 +ChiSquare statistic : 150.02 p-value of test : 0.39 @@ -2696,36 +2696,36 @@ p-value of test : 0.39 Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 142.13 -p-value of test : 0.58 +ChiSquare statistic : 125.93 +p-value of test : 0.88 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 471.73 -p-value of test : 0.81 +ChiSquare statistic : 440.99 +p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 136.99 -p-value of test : 0.46 +ChiSquare statistic : 146.86 +p-value of test : 0.25 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 61.81 -p-value of test : 0.84 +ChiSquare statistic : 105.28 +p-value of test : 9.9e-3 ----------------------------------------------- -CPU time used : 00:00:53.85 +CPU time used : 00:01:17.35 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 : 163.51 -p-value of test : 0.15 +ChiSquare statistic : 167.98 +p-value of test : 0.10 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 148.59 -p-value of test : 0.42 +ChiSquare statistic : 137.34 +p-value of test : 0.68 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 500.84 -p-value of test : 0.48 +ChiSquare statistic : 502.41 +p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 152.98 -p-value of test : 0.15 +ChiSquare statistic : 135.61 +p-value of test : 0.49 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 97.68 -p-value of test : 0.03 +ChiSquare statistic : 84.30 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:00:59.60 +CPU time used : 00:01:13.31 Generator state: N/A @@ -2808,44 +2808,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 384 -ChiSquare statistic : 401.75 -p-value of test : 0.26 +ChiSquare statistic : 343.87 +p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 376.38 -p-value of test : 0.60 +ChiSquare statistic : 377.21 +p-value of test : 0.59 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5004.69 -p-value of test : 0.48 +ChiSquare statistic : 5116.74 +p-value of test : 0.12 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 367.68 -p-value of test : 0.64 +ChiSquare statistic : 435.44 +p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 213.14 -p-value of test : 0.25 +ChiSquare statistic : 190.20 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:00:45.96 +CPU time used : 00:00:55.95 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 : 374.72 -p-value of test : 0.62 +ChiSquare statistic : 396.22 +p-value of test : 0.32 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 369.01 -p-value of test : 0.70 +ChiSquare statistic : 368.20 +p-value of test : 0.71 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4978.12 -p-value of test : 0.58 +ChiSquare statistic : 5205.73 +p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 381.45 -p-value of test : 0.44 +ChiSquare statistic : 396.55 +p-value of test : 0.25 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 196.93 -p-value of test : 0.55 +ChiSquare statistic : 189.98 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:00:45.69 +CPU time used : 00:01:01.40 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 26.68 -p-value of test : 8.6e-3 +Chi2 statistic for size of jumps : 8.50 +p-value of test : 0.74 ----------------------------------------------- -Normal statistic for number of jumps : -1.64 -p-value of test : 0.95 +Normal statistic for number of jumps : 0.59 +p-value of test : 0.28 ----------------------------------------------- -CPU time used : 00:02:23.37 +CPU time used : 00:03:06.37 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 11.77 -p-value of test : 0.46 +Chi2 statistic for size of jumps : 16.94 +p-value of test : 0.15 ----------------------------------------------- -Normal statistic for number of jumps : 0.16 -p-value of test : 0.44 +Normal statistic for number of jumps : -1.37 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:02:23.64 +CPU time used : 00:02:41.69 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.10 -p-value of test : 0.75 +Kolmogorov-Smirnov+ statistic = D+ : 0.22 +p-value of test : 0.33 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.38 +Kolmogorov-Smirnov- statistic = D- : 0.050 +p-value of test : 0.92 -Anderson-Darling statistic = A2 : 0.28 -p-value of test : 0.95 +Anderson-Darling statistic = A2 : 0.71 +p-value of test : 0.55 Tests on the sum of all N observations -Standardized normal statistic : 0.38 -p-value of test : 0.35 +Standardized normal statistic : -0.99 +p-value of test : 0.84 -Sample variance : 0.95 -p-value of test : 0.48 +Sample variance : 1.19 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:00:57.46 +CPU time used : 00:01:04.03 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.51 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.44 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.59 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.71 -Anderson-Darling statistic = A2 : 0.47 -p-value of test : 0.77 +Anderson-Darling statistic = A2 : 0.39 +p-value of test : 0.86 Tests on the sum of all N observations -Standardized normal statistic : -0.45 +Standardized normal statistic : -0.43 p-value of test : 0.67 -Sample variance : 1.20 -p-value of test : 0.29 +Sample variance : 0.87 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:01:09.46 +CPU time used : 00:01:06.01 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 4.01e-3 -p-value of test : 0.87 +Kolmogorov-Smirnov+ statistic = D+ : 9.88e-3 +p-value of test : 0.45 -Kolmogorov-Smirnov- statistic = D- : 0.012 -p-value of test : 0.28 +Kolmogorov-Smirnov- statistic = D- : 9.88e-3 +p-value of test : 0.45 -Anderson-Darling statistic = A2 : 0.49 -p-value of test : 0.75 +Anderson-Darling statistic = A2 : 0.76 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:00:47.90 +CPU time used : 00:00:54.53 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.015 -p-value of test : 0.18 +Kolmogorov-Smirnov+ statistic = D+ : 9.78e-3 +p-value of test : 0.45 -Kolmogorov-Smirnov- statistic = D- : 3.45e-3 -p-value of test : 0.91 +Kolmogorov-Smirnov- statistic = D- : 5.80e-3 +p-value of test : 0.76 -Anderson-Darling statistic = A2 : 0.87 -p-value of test : 0.43 +Anderson-Darling statistic = A2 : 0.44 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:00:46.55 +CPU time used : 00:00:53.21 Generator state: N/A @@ -3123,8 +3123,8 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 4.87 -p-value of test : 0.77 +Chi-square statistic : 14.47 +p-value of test : 0.07 ----------------------------------------------- Global longest run of 1 : 31.00 @@ -3133,7 +3133,7 @@ p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:44.97 +CPU time used : 00:01:56.75 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 6.11 -p-value of test : 0.64 +Chi-square statistic : 3.00 +p-value of test : 0.93 ----------------------------------------------- -Global longest run of 1 : 34.00 -p-value of test : 0.25 +Global longest run of 1 : 31.00 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:45.21 +CPU time used : 00:02:00.32 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.087 -p-value of test : 0.82 +Kolmogorov-Smirnov+ statistic = D+ : 0.23 +p-value of test : 0.29 -Kolmogorov-Smirnov- statistic = D- : 0.22 -p-value of test : 0.34 +Kolmogorov-Smirnov- statistic = D- : 0.053 +p-value of test : 0.92 -Anderson-Darling statistic = A2 : 0.44 -p-value of test : 0.80 +Anderson-Darling statistic = A2 : 0.64 +p-value of test : 0.61 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 209.45 -p-value of test : 0.31 +Chi-square statistic : 180.92 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:02:49.54 +CPU time used : 00:03:16.80 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.085 -p-value of test : 0.82 +Kolmogorov-Smirnov+ statistic = D+ : 0.26 +p-value of test : 0.23 -Kolmogorov-Smirnov- statistic = D- : 0.31 -p-value of test : 0.11 +Kolmogorov-Smirnov- statistic = D- : 0.052 +p-value of test : 0.92 -Anderson-Darling statistic = A2 : 0.68 -p-value of test : 0.57 +Anderson-Darling statistic = A2 : 0.97 +p-value of test : 0.37 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 209.56 -p-value of test : 0.31 +Chi-square statistic : 179.88 +p-value of test : 0.84 ----------------------------------------------- -CPU time used : 00:03:01.76 +CPU time used : 00:03:22.25 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.51 +Kolmogorov-Smirnov+ statistic = D+ : 0.23 +p-value of test : 0.29 -Kolmogorov-Smirnov- statistic = D- : 0.26 -p-value of test : 0.23 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.56 -Anderson-Darling statistic = A2 : 0.75 -p-value of test : 0.51 +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 : 10000 -Chi-square statistic : 9996.36 -p-value of test : 0.51 +Chi-square statistic : 9914.23 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:01:13.97 +CPU time used : 00:01:15.75 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.73 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.68 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.40 +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.34 -Anderson-Darling statistic = A2 : 0.39 +Anderson-Darling statistic = A2 : 0.38 p-value of test : 0.86 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9985.85 -p-value of test : 0.54 +Chi-square statistic :10026.09 +p-value of test : 0.43 ----------------------------------------------- -CPU time used : 00:01:17.87 +CPU time used : 00:01:19.37 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.89 -p-value of test : 0.19 +Normal statistic : 1.18 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:01:26.37 +CPU time used : 00:01:33.54 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.34 -p-value of test : 0.63 +Normal statistic : -1.31 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:01:19.29 +CPU time used : 00:01:28.05 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 1.39 -p-value of test : 0.08 +Normal statistic : -1.06 +p-value of test : 0.85 ----------------------------------------------- -CPU time used : 00:05:19.78 +CPU time used : 00:05:45.84 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.24 -p-value of test : 0.27 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.76 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.56 +Kolmogorov-Smirnov- statistic = D- : 0.27 +p-value of test : 0.19 -Anderson-Darling statistic = A2 : 0.92 -p-value of test : 0.40 +Anderson-Darling statistic = A2 : 1.12 +p-value of test : 0.30 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4817.62 -p-value of test : 0.77 +Chi-square statistic : 4995.99 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:02:12.45 +CPU time used : 00:02:37.15 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 : 0.45 +Kolmogorov-Smirnov+ statistic = D+ : 0.066 +p-value of test : 0.88 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.67 +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.24 -Anderson-Darling statistic = A2 : 0.48 -p-value of test : 0.77 +Anderson-Darling statistic = A2 : 0.88 +p-value of test : 0.42 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4834.99 -p-value of test : 0.71 +Chi-square statistic : 4993.20 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:02:16.38 +CPU time used : 00:02:38.31 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 : 4093.71 -p-value of test : 0.60 +Chi-square statistic : 4079.91 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:01:37.84 +CPU time used : 00:01:49.54 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 : 4084.79 -p-value of test : 0.64 +Chi-square statistic : 4180.04 +p-value of test : 0.24 ----------------------------------------------- -CPU time used : 00:01:40.87 +CPU time used : 00:01:52.15 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 :11590.02 -p-value of test : 0.94 +Chi-square statistic :11780.15 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:01:43.88 +CPU time used : 00:01:56.75 Generator state: N/A @@ -3549,11 +3549,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 -Chi-square statistic :11821.71 -p-value of test : 0.51 +Chi-square statistic :11683.75 +p-value of test : 0.82 ----------------------------------------------- -CPU time used
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