http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/src/site/resources/txt/userguide/stress/tu/run_1/tu_11 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_1/tu_11 b/src/site/resources/txt/userguide/stress/tu/run_1/tu_11 index e33d722..808aebb 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_1/tu_11 +++ b/src/site/resources/txt/userguide/stress/tu/run_1/tu_11 @@ -1,5 +1,5 @@ # -# RNG: org.apache.commons.math4.rng.internal.source64.SplitMix64 +# RNG: org.apache.commons.rng.internal.source64.SplitMix64 # # Java: 1.8.0_66 # Runtime: 1.8.0_66-b17 @@ -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 : 0.42 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:02:33.87 +CPU time used : 00:02:07.79 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 : 0.65 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:54.12 +CPU time used : 00:01:52.03 Generator state: N/A @@ -137,7 +137,7 @@ Total number of cells containing j balls j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:15.50 +CPU time used : 00:04:09.56 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 : 1322 -p-value of test : 0.87 +Observed number of collisions : 1319 +p-value of test : 0.89 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334442 - j = 1 : 599997356 - j = 2 : 1322 + j = 0 : 131940795334439 + j = 1 : 599997362 + j = 2 : 1319 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:18.97 +CPU time used : 00:04:46.11 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 : 1363 -p-value of test : 0.51 +Observed number of collisions : 1367 +p-value of test : 0.47 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334483 - j = 1 : 599997274 - j = 2 : 1363 + j = 0 : 131940795334487 + j = 1 : 599997266 + j = 2 : 1367 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:53.75 +CPU time used : 00:04:41.21 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 : 1399 -p-value of test : 0.18 +Observed number of collisions : 1365 +p-value of test : 0.50 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334519 - j = 1 : 599997202 - j = 2 : 1399 + j = 0 : 131940795334485 + j = 1 : 599997270 + j = 2 : 1365 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:24.21 +CPU time used : 00:04:54.68 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 : 1322 -p-value of test : 0.87 +Observed number of collisions : 1351 +p-value of test : 0.63 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334442 - j = 1 : 599997356 - j = 2 : 1322 + j = 0 : 131940795334471 + j = 1 : 599997298 + j = 2 : 1351 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:04.97 +CPU time used : 00:05:37.89 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 : 1380 -p-value of test : 0.34 +Observed number of collisions : 1305 +p-value of test : 0.94 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334500 - j = 1 : 599997240 - j = 2 : 1380 + j = 0 : 131940795334425 + j = 1 : 599997390 + j = 2 : 1305 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:48.26 +CPU time used : 00:07:20.34 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 : 1277 -p-value of test : 0.9911 +Observed number of collisions : 1397 +p-value of test : 0.19 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334397 - j = 1 : 599997446 - j = 2 : 1277 + j = 0 : 131940795334517 + j = 1 : 599997206 + j = 2 : 1397 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:55.40 +CPU time used : 00:05:07.07 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 : 1395 -p-value of test : 0.21 +Observed number of collisions : 1340 +p-value of test : 0.74 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334515 - j = 1 : 599997210 - j = 2 : 1395 + j = 0 : 131940795334460 + j = 1 : 599997320 + j = 2 : 1340 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:44.36 +CPU time used : 00:05:16.75 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 : 1361 -p-value of test : 0.53 +Observed number of collisions : 1318 +p-value of test : 0.89 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334481 - j = 1 : 599997278 - j = 2 : 1361 + j = 0 : 131940795334438 + j = 1 : 599997364 + j = 2 : 1318 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:26.44 +CPU time used : 00:05:38.03 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 : 1353 -p-value of test : 0.61 +Observed number of collisions : 1513 +p-value of test : 3.9e-5 ***** ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334473 - j = 1 : 599997294 - j = 2 : 1353 + j = 0 : 131940795334633 + j = 1 : 599996974 + j = 2 : 1513 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:15.53 +CPU time used : 00:08:20.71 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5498 -p-value of test : 0.15 +Total observed number : 5334 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:04:31.05 +CPU time used : 00:05:17.01 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4319 -p-value of test : 0.60 +Total observed number : 4326 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:01:54.84 +CPU time used : 00:02:16.86 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7347 -p-value of test : 0.37 +Total observed number : 7369 +p-value of test : 0.28 ----------------------------------------------- -CPU time used : 00:03:20.86 +CPU time used : 00:03:52.69 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4313 -p-value of test : 0.64 +Total observed number : 4242 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:02:23.96 +CPU time used : 00:02:49.38 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4394 -p-value of test : 0.19 +Total observed number : 4368 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:02:32.09 +CPU time used : 00:02:54.22 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7266 -p-value of test : 0.73 +Total observed number : 7384 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:04:07.75 +CPU time used : 00:04:26.34 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7299 -p-value of test : 0.59 +Total observed number : 7262 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:04:07.02 +CPU time used : 00:04:08.22 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7310 -p-value of test : 0.54 +Total observed number : 7417 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:05:09.05 +CPU time used : 00:05:13.59 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7423 -p-value of test : 0.11 +Total observed number : 7259 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:05:37.85 +CPU time used : 00:05:19.61 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) : 0.74 -p-value of test : 0.53 +Stat. AD on the N values (NP) : 0.31 +p-value of test : 0.93 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) : 1.13 -p-value of test : 0.30 +A2 test on the values of A2 (m-NP) : 1.41 +p-value of test : 0.20 -Test on the Nm values of W_{n,i}(mNP1): 0.93 -p-value of test : 0.40 +Test on the Nm values of W_{n,i}(mNP1): 0.82 +p-value of test : 0.46 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 860 -p-value of test : 0.91 +Number of jumps of Y : 879 +p-value of test : 0.75 -Stat. AD (mNP2) : 0.55 -p-value of test : 0.70 +Stat. AD (mNP2) : 0.31 +p-value of test : 0.93 -Stat. AD after spacings (mNP2-S) : 1.25 -p-value of test : 0.25 +Stat. AD after spacings (mNP2-S) : 1.11 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:03:19.32 +CPU time used : 00:03:09.10 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) : 0.51 -p-value of test : 0.74 +Stat. AD on the N values (NP) : 0.20 +p-value of test : 0.9913 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) : 1.08 -p-value of test : 0.32 +A2 test on the values of A2 (m-NP) : 1.64 +p-value of test : 0.15 -Test on the Nm values of W_{n,i}(mNP1): 1.37 -p-value of test : 0.21 +Test on the Nm values of W_{n,i}(mNP1): 0.82 +p-value of test : 0.47 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 626 -p-value of test : 0.15 +Number of jumps of Y : 586 +p-value of test : 0.71 -Stat. AD (mNP2) : 0.49 -p-value of test : 0.76 +Stat. AD (mNP2) : 0.79 +p-value of test : 0.49 -Stat. AD after spacings (mNP2-S) : 1.90 -p-value of test : 0.10 +Stat. AD after spacings (mNP2-S) : 0.27 +p-value of test : 0.96 ----------------------------------------------- -CPU time used : 00:02:06.94 +CPU time used : 00:02:00.46 Generator state: N/A @@ -983,34 +983,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 1.32 -p-value of test : 0.23 +Stat. AD on the N values (NP) : 0.87 +p-value of test : 0.43 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) : 1.92 +p-value of test : 0.10 -Test on the Nm values of W_{n,i}(mNP1): 0.36 -p-value of test : 0.89 +Test on the Nm values of W_{n,i}(mNP1): 0.93 +p-value of test : 0.39 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 300 -p-value of test : 0.51 +Number of jumps of Y : 286 +p-value of test : 0.78 -Stat. AD (mNP2) : 0.69 -p-value of test : 0.56 +Stat. AD (mNP2) : 0.92 +p-value of test : 0.40 -Stat. AD after spacings (mNP2-S) : 0.21 -p-value of test : 0.99 +Stat. AD after spacings (mNP2-S) : 0.85 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:03:06.80 +CPU time used : 00:03:02.89 Generator state: N/A @@ -1031,34 +1031,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.27 -p-value of test : 0.96 +Stat. AD on the N values (NP) : 1.20 +p-value of test : 0.27 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) : 1.58 -p-value of test : 0.16 +A2 test on the values of A2 (m-NP) : 0.78 +p-value of test : 0.49 -Test on the Nm values of W_{n,i}(mNP1): 0.30 -p-value of test : 0.94 +Test on the Nm values of W_{n,i}(mNP1): 0.72 +p-value of test : 0.54 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 141 -p-value of test : 0.75 +Number of jumps of Y : 145 +p-value of test : 0.64 -Stat. AD (mNP2) : 1.33 -p-value of test : 0.22 +Stat. AD (mNP2) : 0.58 +p-value of test : 0.67 -Stat. AD after spacings (mNP2-S) : 0.52 -p-value of test : 0.72 +Stat. AD after spacings (mNP2-S) : 5.13 +p-value of test : 2.5e-3 ----------------------------------------------- -CPU time used : 00:03:23.53 +CPU time used : 00:03:21.18 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 : 3.08 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:01:17.63 +CPU time used : 00:01:15.52 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 5.35 -p-value of test : 0.62 +Chi-square statistic : 8.20 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:01:33.82 +CPU time used : 00:01:27.77 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 20.06 -p-value of test : 0.33 +Chi-square statistic : 19.66 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:01:16.72 +CPU time used : 00:01:11.35 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 10.39 -p-value of test : 0.92 +Chi-square statistic : 13.44 +p-value of test : 0.76 ----------------------------------------------- -CPU time used : 00:01:28.81 +CPU time used : 00:01:25.64 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 52.09 -p-value of test : 0.55 +Chi-square statistic : 50.28 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:01:40.60 +CPU time used : 00:01:31.84 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 68.39 -p-value of test : 0.09 +Chi-square statistic : 60.72 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:01:53.64 +CPU time used : 00:01:49.96 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 38.64 -p-value of test : 0.94 +Chi-square statistic : 60.36 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:01:52.61 +CPU time used : 00:01:59.50 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 62.95 -p-value of test : 0.19 +Chi-square statistic : 43.91 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:01:54.98 +CPU time used : 00:02:20.60 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 201.34 -p-value of test : 0.93 +Chi-square statistic : 254.37 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:02:09.26 +CPU time used : 00:02:39.78 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 445.52 -p-value of test : 0.34 +Chi-square statistic : 422.55 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:02:54.17 +CPU time used : 00:03:41.18 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1401.96 -p-value of test : 0.74 +Chi-square statistic : 1403.43 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:03:06.27 +CPU time used : 00:03:51.38 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7078.92 -p-value of test : 0.39 +Chi-square statistic : 6798.96 +p-value of test : 0.98 ----------------------------------------------- -CPU time used : 00:02:57.35 +CPU time used : 00:03:22.52 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.79 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.83 -Kolmogorov-Smirnov- statistic = D- : 0.26 -p-value of test : 0.43 +Kolmogorov-Smirnov- statistic = D- : 0.45 +p-value of test : 0.10 -Anderson-Darling statistic = A2 : 0.28 -p-value of test : 0.95 +Anderson-Darling statistic = A2 : 0.92 +p-value of test : 0.40 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 29.81 -p-value of test : 0.48 +Chi-square statistic : 35.51 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:01:44.72 +CPU time used : 00:01:57.77 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.40 -p-value of test : 0.03 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.71 -Kolmogorov-Smirnov- statistic = D- : 8.36e-3 -p-value of test : 0.9910 +Kolmogorov-Smirnov- statistic = D- : 0.24 +p-value of test : 0.26 -Anderson-Darling statistic = A2 : 2.98 -p-value of test : 0.03 +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 : 60 -Chi-square statistic : 36.62 -p-value of test : 0.9926 +Chi-square statistic : 63.00 +p-value of test : 0.37 ----------------------------------------------- -CPU time used : 00:04:14.57 +CPU time used : 00:04:35.95 Generator state: N/A @@ -1450,12 +1450,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5 -Value of the statistic : 5.67 -p-value of test : 0.34 +Value of the statistic : 2.18 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:01:14.31 +CPU time used : 00:01:15.00 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 : 109.13 -p-value of test : 0.73 +Value of the statistic : 151.34 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:02:02.52 +CPU time used : 00:02:08.19 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 : 5105.16 -p-value of test : 0.25 +Value of the statistic : 4777.70 +p-value of test : 0.9959 ----------------------------------------------- -CPU time used : 00:01:36.04 +CPU time used : 00:01:26.69 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 : 0.19 +p-value of test : 0.43 ----------------------------------------------- -CPU time used : 00:03:14.04 +CPU time used : 00:03:09.35 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 : 45949 -p-value of test : 0.37 +Observed number of collisions : 46134 +p-value of test : 0.12 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869949 - j = 1 : 399908107 - j = 2 : 45939 - j = 3 : 5 + j = 0 : 1743165870134 + j = 1 : 399907736 + j = 2 : 46126 + j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:34.70 +CPU time used : 00:04:26.12 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 : 45681 -p-value of test : 0.82 +Observed number of collisions : 45945 +p-value of test : 0.38 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869681 - j = 1 : 399908643 - j = 2 : 45671 - j = 3 : 5 + j = 0 : 1743165869945 + j = 1 : 399908111 + j = 2 : 45943 + j = 3 : 1 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:48.73 +CPU time used : 00:04:33.62 Generator state: N/A @@ -1699,33 +1699,33 @@ Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.097 p-value of test : 0.44 -Kolmogorov-Smirnov- statistic = D- : 0.099 -p-value of test : 0.43 +Kolmogorov-Smirnov- statistic = D- : 0.042 +p-value of test : 0.84 -Anderson-Darling statistic = A2 : 0.54 -p-value of test : 0.71 +Anderson-Darling statistic = A2 : 0.48 +p-value of test : 0.77 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.74 +p-value of test : 0.78 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.24 -p-value of test : 7.2e-3 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.41 -Kolmogorov-Smirnov- statistic = D- : 0.059 -p-value of test : 0.73 +Kolmogorov-Smirnov- statistic = D- : 0.026 +p-value of test : 0.93 -Anderson-Darling statistic = A2 : 1.41 -p-value of test : 0.20 +Anderson-Darling statistic = A2 : 0.43 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:03:30.65 +CPU time used : 00:03:29.02 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.093 +Kolmogorov-Smirnov+ statistic = D+ : 0.094 p-value of test : 0.56 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.06 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.12 -Anderson-Darling statistic = A2 : 1.15 -p-value of test : 0.29 +Anderson-Darling statistic = A2 : 1.45 +p-value of test : 0.19 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.33 +p-value of test : 0.14 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.011 -p-value of test : 0.98 - -Kolmogorov-Smirnov- statistic = D- : 0.23 +Kolmogorov-Smirnov+ statistic = D+ : 0.23 p-value of test : 0.04 -Anderson-Darling statistic = A2 : 2.94 -p-value of test : 0.03 +Kolmogorov-Smirnov- statistic = D- : 0.024 +p-value of test : 0.95 + +Anderson-Darling statistic = A2 : 3.32 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:03:14.86 +CPU time used : 00:03:13.53 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.41 -p-value of test : 7.3e-4 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.14 -Kolmogorov-Smirnov- statistic = D- : 0.020 -p-value of test : 0.97 +Kolmogorov-Smirnov- statistic = D- : 0.086 +p-value of test : 0.70 -Anderson-Darling statistic = A2 : 4.50 -p-value of test : 5.2e-3 +Anderson-Darling statistic = A2 : 1.54 +p-value of test : 0.17 Test on the sum of all N observations Number of degrees of freedom : 1999980 -Chi-square statistic : 1.99e+6 -p-value of test : 0.9954 +Chi-square statistic : 2.00e+6 +p-value of test : 0.90 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.34 +Kolmogorov-Smirnov+ statistic = D+ : 0.063 +p-value of test : 0.82 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.35 +Kolmogorov-Smirnov- statistic = D- : 0.26 +p-value of test : 0.06 -Anderson-Darling statistic = A2 : 0.48 -p-value of test : 0.77 +Anderson-Darling statistic = A2 : 1.69 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:02:32.20 +CPU time used : 00:02:40.05 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.12 +Kolmogorov-Smirnov+ statistic = D+ : 0.044 +p-value of test : 0.90 -Kolmogorov-Smirnov- statistic = D- : 0.071 -p-value of test : 0.78 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.15 -Anderson-Darling statistic = A2 : 1.05 -p-value of test : 0.33 +Anderson-Darling statistic = A2 : 0.89 +p-value of test : 0.42 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.75 +p-value of test : 0.21 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.28 +Kolmogorov-Smirnov+ statistic = D+ : 0.27 +p-value of test : 0.04 -Kolmogorov-Smirnov- statistic = D- : 8.13e-3 -p-value of test : 0.9905 +Kolmogorov-Smirnov- statistic = D- : 0.055 +p-value of test : 0.85 -Anderson-Darling statistic = A2 : 1.06 -p-value of test : 0.33 +Anderson-Darling statistic = A2 : 1.52 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:02:52.62 +CPU time used : 00:03:04.78 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.062 -p-value of test : 0.70 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.23 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.26 +Kolmogorov-Smirnov- statistic = D- : 0.056 +p-value of test : 0.75 -Anderson-Darling statistic = A2 : 0.98 -p-value of test : 0.37 +Anderson-Darling statistic = A2 : 0.72 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:02:27.82 +CPU time used : 00:02:29.00 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.082 -p-value of test : 0.73 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.15 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.50 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.61 -Anderson-Darling statistic = A2 : 0.37 -p-value of test : 0.88 +Anderson-Darling statistic = A2 : 0.93 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:01:40.71 +CPU time used : 00:01:49.79 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.23 -p-value of test : 0.10 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.50 -Kolmogorov-Smirnov- statistic = D- : 0.017 -p-value of test : 0.98 +Kolmogorov-Smirnov- statistic = D- : 0.067 +p-value of test : 0.80 -Anderson-Darling statistic = A2 : 1.38 -p-value of test : 0.21 +Anderson-Darling statistic = A2 : 0.33 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:02:10.87 +CPU time used : 00:02:29.62 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.87e-4 -p-value of test : 0.25 +Kolmogorov-Smirnov+ statistic = D+ : 1.61e-4 +p-value of test : 0.35 -Kolmogorov-Smirnov- statistic = D- : 9.18e-5 -p-value of test : 0.71 +Kolmogorov-Smirnov- statistic = D- : 6.88e-5 +p-value of test : 0.83 Anderson-Darling statistic = A2 : 0.62 p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:00:32.57 +CPU time used : 00:00:35.87 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.05e-4 -p-value of test : 0.64 +Kolmogorov-Smirnov+ statistic = D+ : 6.02e-5 +p-value of test : 0.87 -Kolmogorov-Smirnov- statistic = D- : 2.27e-4 -p-value of test : 0.13 +Kolmogorov-Smirnov- statistic = D- : 1.91e-4 +p-value of test : 0.23 -Anderson-Darling statistic = A2 : 1.22 -p-value of test : 0.26 +Anderson-Darling statistic = A2 : 0.71 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:00:33.44 +CPU time used : 00:00:37.42 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.82 -p-value of test : 0.79 +Normal statistic : 0.93 +p-value of test : 0.18 ----------------------------------------------- -CPU time used : 00:00:33.62 +CPU time used : 00:00:39.86 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 1.75 -p-value of test : 0.04 +Normal statistic : -1.56 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:00:33.64 +CPU time used : 00:00:37.72 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -1.04 -p-value of test : 0.85 +Normal statistic : 0.14 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:02:04.51 +CPU time used : 00:02:06.98 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 0.81 -p-value of test : 0.21 +Normal statistic : -1.18 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:02:04.92 +CPU time used : 00:02:02.20 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 73.26 -p-value of test : 0.28 +Chi-square statistic : 62.37 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:01:22.45 +CPU time used : 00:01:22.22 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 54.58 -p-value of test : 0.86 +Chi-square statistic : 87.16 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:01:35.13 +CPU time used : 00:01:38.84 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 49.25 -p-value of test : 0.95 +Chi-square statistic : 74.20 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:01:34.20 +CPU time used : 00:01:37.04 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 49.80 -p-value of test : 0.08 +Chi-square statistic : 28.91 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:01:22.17 +CPU time used : 00:01:27.88 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 25.16 -p-value of test : 0.93 +Chi-square statistic : 38.76 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:01:33.95 +CPU time used : 00:01:45.02 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 29.57 -p-value of test : 0.80 +Chi-square statistic : 10.29 +p-value of test : 1 - 4.1e-6 ***** ----------------------------------------------- -CPU time used : 00:01:38.39 +CPU time used : 00:01:43.04 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 37.44 -p-value of test : 0.14 +Chi-square statistic : 25.35 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:02:37.65 +CPU time used : 00:02:39.70 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.063 -p-value of test : 0.89 +Kolmogorov-Smirnov+ statistic = D+ : 0.23 +p-value of test : 0.30 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.40 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.76 -Anderson-Darling statistic = A2 : 0.32 -p-value of test : 0.92 +Anderson-Darling statistic = A2 : 0.49 +p-value of test : 0.75 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 44.54 -p-value of test : 0.29 +Chi-square statistic : 36.58 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:01:26.93 +CPU time used : 00:01:23.25 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.24 -p-value of test : 0.26 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.72 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.74 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.39 -Anderson-Darling statistic = A2 : 0.71 -p-value of test : 0.54 +Anderson-Darling statistic = A2 : 0.39 +p-value of test : 0.85 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 38.62 -p-value of test : 0.53 +Chi-square statistic : 42.88 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:01:22.72 +CPU time used : 00:01:29.07 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 6.17 -p-value of test : 0.10 +Chi-square statistic : 1.04 +p-value of test : 0.79 ----------------------------------------------- -CPU time used : 00:02:18.52 +CPU time used : 00:02:10.85 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 1.51 -p-value of test : 0.68 +Chi-square statistic : 6.50 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:02:15.46 +CPU time used : 00:02:08.98 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.059 -p-value of test : 0.97 +Chi-square statistic : 3.56 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:01:33.79 +CPU time used : 00:01:33.22 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.77 -p-value of test : 0.68 +Chi-square statistic : 3.22 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:01:17.84 +CPU time used : 00:01:18.07 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.56 +Kolmogorov-Smirnov+ statistic = D+ : 0.095 +p-value of test : 0.78 -Kolmogorov-Smirnov- statistic = D- : 0.35 -p-value of test : 0.07 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.68 -Anderson-Darling statistic = A2 : 0.95 -p-value of test : 0.38 +Anderson-Darling statistic = A2 : 0.33 +p-value of test : 0.91 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 137.23 -p-value of test : 0.31 +Chi-square statistic : 130.07 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:00:57.67 +CPU time used : 00:01:03.21 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.26 -p-value of test : 0.23 +Kolmogorov-Smirnov+ statistic = D+ : 0.058 +p-value of test : 0.90 -Kolmogorov-Smirnov- statistic = D- : 0.10 -p-value of test : 0.76 +Kolmogorov-Smirnov- statistic = D- : 0.34 +p-value of test : 0.07 -Anderson-Darling statistic = A2 : 0.44 -p-value of test : 0.81 +Anderson-Darling statistic = A2 : 1.28 +p-value of test : 0.24 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17385.97 -p-value of test : 0.59 +Chi-square statistic :17655.03 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:01:55.51 +CPU time used : 00:01:52.55 Generator state: N/A @@ -2568,44 +2568,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 36 -ChiSquare statistic : 29.70 -p-value of test : 0.76 +ChiSquare statistic : 28.36 +p-value of test : 0.81 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 41.56 -p-value of test : 0.21 +ChiSquare statistic : 50.03 +p-value of test : 0.05 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 19.40 -p-value of test : 0.78 +ChiSquare statistic : 27.27 +p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 15.60 -p-value of test : 0.90 +ChiSquare statistic : 28.54 +p-value of test : 0.24 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 24.14 -p-value of test : 0.12 +ChiSquare statistic : 9.48 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:00:50.82 +CPU time used : 00:00:46.38 Generator state: N/A @@ -2628,23 +2628,23 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 36 -ChiSquare statistic : 34.06 -p-value of test : 0.56 +ChiSquare statistic : 21.62 +p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 24.86 -p-value of test : 0.90 +ChiSquare statistic : 30.82 +p-value of test : 0.67 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 22.87 +ChiSquare statistic : 22.81 p-value of test : 0.59 @@ -2652,20 +2652,20 @@ p-value of test : 0.59 Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 16.00 -p-value of test : 0.89 +ChiSquare statistic : 24.06 +p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 19.86 -p-value of test : 0.28 +ChiSquare statistic : 17.84 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:00:51.77 +CPU time used : 00:00:47.72 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 : 154.24 -p-value of test : 0.30 +ChiSquare statistic : 173.48 +p-value of test : 0.06 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 164.38 -p-value of test : 0.14 +ChiSquare statistic : 144.16 +p-value of test : 0.53 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 481.61 -p-value of test : 0.71 +ChiSquare statistic : 500.27 +p-value of test : 0.49 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 114.39 -p-value of test : 0.91 +ChiSquare statistic : 161.95 +p-value of test : 0.06 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 100.15 -p-value of test : 0.02 +ChiSquare statistic : 68.75 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:01:00.37 +CPU time used : 00:00:54.17 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 : 151.92 -p-value of test : 0.35 +ChiSquare statistic : 138.38 +p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 141.16 -p-value of test : 0.60 +ChiSquare statistic : 149.56 +p-value of test : 0.40 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 526.56 -p-value of test : 0.20 +ChiSquare statistic : 487.16 +p-value of test : 0.65 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 128.43 -p-value of test : 0.67 +ChiSquare statistic : 137.07 +p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 57.96 -p-value of test : 0.92 +ChiSquare statistic : 82.23 +p-value of test : 0.24 ----------------------------------------------- -CPU time used : 00:01:00.68 +CPU time used : 00:00:53.70 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 : 365.83 -p-value of test : 0.74 +ChiSquare statistic : 397.62 +p-value of test : 0.31 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 351.72 -p-value of test : 0.88 +ChiSquare statistic : 385.94 +p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4974.44 -p-value of test : 0.60 +ChiSquare statistic : 5019.43 +p-value of test : 0.42 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 374.64 -p-value of test : 0.54 +ChiSquare statistic : 349.98 +p-value of test : 0.85 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 221.82 -p-value of test : 0.14 +ChiSquare statistic : 188.28 +p-value of test : 0.71 ----------------------------------------------- -CPU time used : 00:00:49.56 +CPU time used : 00:00:45.15 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 : 376.42 -p-value of test : 0.60 +ChiSquare statistic : 350.87 +p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 420.86 -p-value of test : 0.09 +ChiSquare statistic : 357.36 +p-value of test : 0.83 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4876.83 -p-value of test : 0.89 +ChiSquare statistic : 5033.96 +p-value of test : 0.36 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 335.12 -p-value of test : 0.95 +ChiSquare statistic : 438.31 +p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 220.37 -p-value of test : 0.15 +ChiSquare statistic : 202.07 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:00:47.94 +CPU time used : 00:00:48.20 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 7.72 -p-value of test : 0.81 +Chi2 statistic for size of jumps : 7.93 +p-value of test : 0.79 ----------------------------------------------- -Normal statistic for number of jumps : -0.39 -p-value of test : 0.65 +Normal statistic for number of jumps : 1.11 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:02:23.57 +CPU time used : 00:02:23.36 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 12.61 -p-value of test : 0.40 +Chi2 statistic for size of jumps : 12.82 +p-value of test : 0.38 ----------------------------------------------- -Normal statistic for number of jumps : 0.62 -p-value of test : 0.27 +Normal statistic for number of jumps : -0.019 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:02:35.45 +CPU time used : 00:02:23.15 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.65 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.52 -Kolmogorov-Smirnov- statistic = D- : 0.19 -p-value of test : 0.44 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.55 -Anderson-Darling statistic = A2 : 0.37 -p-value of test : 0.87 +Anderson-Darling statistic = A2 : 0.47 +p-value of test : 0.78 Tests on the sum of all N observations -Standardized normal statistic : 0.016 -p-value of test : 0.49 +Standardized normal statistic : 0.34 +p-value of test : 0.37 -Sample variance : 1.24 -p-value of test : 0.27 +Sample variance : 1.16 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:01:06.56 +CPU time used : 00:00:57.17 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.24 -p-value of test : 0.28 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.72 -Kolmogorov-Smirnov- statistic = D- : 0.072 -p-value of test : 0.87 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.71 -Anderson-Darling statistic = A2 : 0.89 -p-value of test : 0.42 +Anderson-Darling statistic = A2 : 0.24 +p-value of test : 0.98 Tests on the sum of all N observations -Standardized normal statistic : -0.97 -p-value of test : 0.83 +Standardized normal statistic : 0.28 +p-value of test : 0.39 -Sample variance : 0.83 -p-value of test : 0.58 +Sample variance : 1.31 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:00:59.09 +CPU time used : 00:00:59.11 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 9.35e-3 -p-value of test : 0.49 +Kolmogorov-Smirnov+ statistic = D+ : 0.014 +p-value of test : 0.18 -Kolmogorov-Smirnov- statistic = D- : 6.91e-3 -p-value of test : 0.67 +Kolmogorov-Smirnov- statistic = D- : 5.50e-3 +p-value of test : 0.78 -Anderson-Darling statistic = A2 : 0.44 -p-value of test : 0.81 +Anderson-Darling statistic = A2 : 0.54 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:00:47.15 +CPU time used : 00:00:46.04 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 6.89e-3 -p-value of test : 0.67 +Kolmogorov-Smirnov+ statistic = D+ : 0.013 +p-value of test : 0.25 -Kolmogorov-Smirnov- statistic = D- : 9.25e-3 -p-value of test : 0.49 +Kolmogorov-Smirnov- statistic = D- : 7.94e-3 +p-value of test : 0.59 -Anderson-Darling statistic = A2 : 0.26 -p-value of test : 0.97 +Anderson-Darling statistic = A2 : 0.57 +p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:00:46.85 +CPU time used : 00:00:45.50 Generator state: N/A @@ -3123,8 +3123,8 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 5.17 -p-value of test : 0.74 +Chi-square statistic : 6.10 +p-value of test : 0.64 ----------------------------------------------- Global longest run of 1 : 34.00 @@ -3133,7 +3133,7 @@ p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:01:42.17 +CPU time used : 00:01:40.05 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 7.96 -p-value of test : 0.44 +Chi-square statistic : 6.29 +p-value of test : 0.61 ----------------------------------------------- -Global longest run of 1 : 31.00 -p-value of test : 0.69 +Global longest run of 1 : 34.00 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:01:42.73 +CPU time used : 00:01:48.79 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.73 +Kolmogorov-Smirnov+ statistic = D+ : 0.34 +p-value of test : 0.08 -Kolmogorov-Smirnov- statistic = D- : 0.25 -p-value of test : 0.24 +Kolmogorov-Smirnov- statistic = D- : 0.064 +p-value of test : 0.89 -Anderson-Darling statistic = A2 : 0.84 -p-value of test : 0.45 +Anderson-Darling statistic = A2 : 1.32 +p-value of test : 0.23 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 218.15 -p-value of test : 0.18 +Chi-square statistic : 173.44 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:02:58.00 +CPU time used : 00:02:52.23 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.42 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.61 -Kolmogorov-Smirnov- statistic = D- : 0.27 -p-value of test : 0.20 +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.44 -Anderson-Darling statistic = A2 : 0.95 -p-value of test : 0.38 +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 : 200 -Chi-square statistic : 211.05 -p-value of test : 0.28 +Chi-square statistic : 202.47 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:02:55.72 +CPU time used : 00:02:52.40 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.062 -p-value of test : 0.89 +Kolmogorov-Smirnov+ statistic = D+ : 0.28 +p-value of test : 0.18 -Kolmogorov-Smirnov- statistic = D- : 0.27 -p-value of test : 0.20 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.61 -Anderson-Darling statistic = A2 : 1.11 -p-value of test : 0.30 +Anderson-Darling statistic = A2 : 0.68 +p-value of test : 0.57 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10197.59 -p-value of test : 0.08 +Chi-square statistic : 9931.32 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:08.60 +CPU time used : 00:01:14.04 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.065 -p-value of test : 0.88 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.58 -Kolmogorov-Smirnov- statistic = D- : 0.27 -p-value of test : 0.19 +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.44 -Anderson-Darling statistic = A2 : 1.14 -p-value of test : 0.29 +Anderson-Darling statistic = A2 : 0.45 +p-value of test : 0.80 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10181.56 -p-value of test : 0.10 +Chi-square statistic : 9983.52 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:01:10.94 +CPU time used : 00:01:18.34 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.62 -p-value of test : 0.27 +Normal statistic : 2.46 +p-value of test : 7.0e-3 ----------------------------------------------- -CPU time used : 00:01:24.14 +CPU time used : 00:01:29.05 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.20 -p-value of test : 0.42 +Normal statistic : 0.49 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:01:18.62 +CPU time used : 00:01:20.73 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -1.33 -p-value of test : 0.91 +Normal statistic : -2.34 +p-value of test : 0.9903 ----------------------------------------------- -CPU time used : 00:05:09.51 +CPU time used : 00:05:08.96 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.30 -p-value of test : 0.13 +Kolmogorov-Smirnov+ statistic = D+ : 0.33 +p-value of test : 0.09 -Kolmogorov-Smirnov- statistic = D- : 0.029 -p-value of test : 0.96 +Kolmogorov-Smirnov- statistic = D- : 0.052 +p-value of test : 0.92 -Anderson-Darling statistic = A2 : 1.45 -p-value of test : 0.19 +Anderson-Darling statistic = A2 : 1.11 +p-value of test : 0.30 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4735.64 -p-value of test : 0.94 +Chi-square statistic : 4764.65 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:02:13.43 +CPU time used : 00:02:14.07 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.49 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.51 -Kolmogorov-Smirnov- statistic = D- : 0.077 -p-value of test : 0.85 +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.33 -Anderson-Darling statistic = A2 : 0.49 -p-value of test : 0.75 +Anderson-Darling statistic = A2 : 0.74 +p-value of test : 0.52 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4833.33 -p-value of test : 0.72 +Chi-square statistic : 4924.32 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:02:14.46 +CPU time used : 00:02:12.19 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 : 4081.96 -p-value of test : 0.65 +Chi-square statistic : 4117.35 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:01:39.05 +CPU time used : 00:01:36.94 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 : 4202.00 -p-value of test : 0.17 +Chi-square statistic : 4195.45 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:01:38.97 +CPU time used : 00:01:43.68 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 :11859.94 -p-value of test : 0.41 +Chi-square statistic :11700.64 +p-value of test : 0.79 ----------------------------------------------- -CPU time used : 00:01:47.40 +CPU time used : 00:01:51.92 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 :11710.35 -p-value of test : 0.77 +Chi-square statistic :11478.38 +p-value of test : 0.99 ----------------------------------------------- -CPU time used : 00:01:49.42 +CPU time used : 00:01:53.81 Generator state: N/A @@ -3575,20 +3575,20 @@ sstring_Run test: Total number of 1 runs: 2000000000 Number of degrees of freedom : 54 -Chi2 statistic for number of runs : 36.70 -p-value of test : 0.97 +Chi2 statistic for number of runs : 63.48 +p-value of test : 0.18 ----------------------------------------------- -Total number of bits: 7999988499 +Total number of bits: 7999988568 -Normal statistic for number of bits : -0.091 +Normal statistic for number of bits : -0
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