http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/src/site/resources/txt/userguide/stress/tu/run_1/tu_13 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_1/tu_13 b/src/site/resources/txt/userguide/stress/tu/run_1/tu_13 index 9496500..de4be82 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_1/tu_13 +++ b/src/site/resources/txt/userguide/stress/tu/run_1/tu_13 @@ -1,5 +1,5 @@ # -# RNG: org.apache.commons.math4.rng.internal.source64.TwoCmres (Cmres: [0xedce446814d3b3d9L, 33, 330658535] + Cmres: [0xc5b3cf786c806df7L, 33, 331932042]) +# RNG: org.apache.commons.rng.internal.source64.TwoCmres (Cmres: [0xedce446814d3b3d9L, 33, 330658535] + Cmres: [0xc5b3cf786c806df7L, 33, 331932042]) # # Java: 1.8.0_66 # Runtime: 1.8.0_66-b17 @@ -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 : 0.97 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:01:48.06 +CPU time used : 00:01:58.84 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 : 0.18 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:01:45.25 +CPU time used : 00:02:04.31 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 : 1324 -p-value of test : 0.86 +Observed number of collisions : 1378 +p-value of test : 0.36 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334444 - j = 1 : 599997352 - j = 2 : 1324 + j = 0 : 131940795334498 + j = 1 : 599997244 + j = 2 : 1378 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:10.60 +CPU time used : 00:04:43.48 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 : 1358 -p-value of test : 0.56 +Observed number of collisions : 1301 +p-value of test : 0.96 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334478 - j = 1 : 599997284 - j = 2 : 1358 + j = 0 : 131940795334421 + j = 1 : 599997398 + j = 2 : 1301 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:20.44 +CPU time used : 00:04:13.55 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 : 1435 -p-value of test : 0.03 +Observed number of collisions : 1392 +p-value of test : 0.23 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334555 - j = 1 : 599997130 - j = 2 : 1435 + j = 0 : 131940795334512 + j = 1 : 599997216 + j = 2 : 1392 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:13.28 +CPU time used : 00:05:44.69 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 : 1414 -p-value of test : 0.09 +Observed number of collisions : 1333 +p-value of test : 0.80 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334534 - j = 1 : 599997172 - j = 2 : 1414 + j = 0 : 131940795334453 + j = 1 : 599997334 + j = 2 : 1333 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:28.19 +CPU time used : 00:05:56.64 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 : 1381 -p-value of test : 0.33 +Observed number of collisions : 1359 +p-value of test : 0.55 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334501 - j = 1 : 599997238 - j = 2 : 1381 + j = 0 : 131940795334479 + j = 1 : 599997282 + j = 2 : 1359 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:23.03 +CPU time used : 00:07:49.83 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 : 1434 -p-value of test : 0.03 +Observed number of collisions : 1397 +p-value of test : 0.19 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334554 - j = 1 : 599997132 - j = 2 : 1434 + j = 0 : 131940795334517 + j = 1 : 599997206 + j = 2 : 1397 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:31.61 +CPU time used : 00:05:02.69 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 : 1307 -p-value of test : 0.94 +Observed number of collisions : 1401 +p-value of test : 0.16 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334427 - j = 1 : 599997386 - j = 2 : 1307 + j = 0 : 131940795334521 + j = 1 : 599997198 + j = 2 : 1401 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:24.88 +CPU time used : 00:06:47.07 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 : 1269 -p-value of test : 0.9952 +Observed number of collisions : 1355 +p-value of test : 0.59 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334389 - j = 1 : 599997462 - j = 2 : 1269 + j = 0 : 131940795334475 + j = 1 : 599997290 + j = 2 : 1355 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:20.90 +CPU time used : 00:04:48.05 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 : 1304 -p-value of test : 0.95 +Observed number of collisions : 1349 +p-value of test : 0.65 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334424 - j = 1 : 599997392 - j = 2 : 1304 + j = 0 : 131940795334469 + j = 1 : 599997302 + j = 2 : 1349 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:33.48 +CPU time used : 00:04:51.05 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 : 1364 -p-value of test : 0.50 +Observed number of collisions : 1401 +p-value of test : 0.16 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334484 - j = 1 : 599997272 - j = 2 : 1364 + j = 0 : 131940795334521 + j = 1 : 599997198 + j = 2 : 1401 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:16.82 +CPU time used : 00:04:55.05 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5352 -p-value of test : 0.82 +Total observed number : 5411 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:04:30.96 +CPU time used : 00:04:24.80 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4341 -p-value of test : 0.48 +Total observed number : 4355 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:01:56.53 +CPU time used : 00:01:54.48 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7271 -p-value of test : 0.71 +Total observed number : 7193 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:03:13.85 +CPU time used : 00:03:09.56 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4250 -p-value of test : 0.91 +Total observed number : 4329 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:02:24.36 +CPU time used : 00:02:20.51 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4374 -p-value of test : 0.29 +Total observed number : 4289 +p-value of test : 0.76 ----------------------------------------------- -CPU time used : 00:02:31.13 +CPU time used : 00:02:27.15 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7353 +Total observed number : 7355 p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:04:01.97 +CPU time used : 00:03:52.52 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7391 -p-value of test : 0.20 +Total observed number : 7404 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:04:11.52 +CPU time used : 00:03:52.34 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7298 -p-value of test : 0.59 +Total observed number : 7359 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:05:09.23 +CPU time used : 00:05:00.05 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7315 -p-value of test : 0.51 +Total observed number : 7296 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:05:38.27 +CPU time used : 00:05:33.60 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) : 0.95 -p-value of test : 0.38 +Stat. AD on the N values (NP) : 0.39 +p-value of test : 0.86 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) : 0.63 -p-value of test : 0.62 +A2 test on the values of A2 (m-NP) : 0.72 +p-value of test : 0.54 -Test on the Nm values of W_{n,i}(mNP1): 0.48 -p-value of test : 0.76 +Test on the Nm values of W_{n,i}(mNP1): 0.66 +p-value of test : 0.59 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 940 -p-value of test : 0.09 +Number of jumps of Y : 894 +p-value of test : 0.57 -Stat. AD (mNP2) : 1.43 -p-value of test : 0.19 +Stat. AD (mNP2) : 0.63 +p-value of test : 0.62 -Stat. AD after spacings (mNP2-S) : 1.65 -p-value of test : 0.15 +Stat. AD after spacings (mNP2-S) : 1.44 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:03:19.84 +CPU time used : 00:03:19.72 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) : 0.30 -p-value of test : 0.94 +Stat. AD on the N values (NP) : 0.95 +p-value of test : 0.38 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) : 0.75 -p-value of test : 0.51 +A2 test on the values of A2 (m-NP) : 3.35 +p-value of test : 0.02 -Test on the Nm values of W_{n,i}(mNP1): 1.02 +Test on the Nm values of W_{n,i}(mNP1): 1.04 p-value of test : 0.34 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 626 -p-value of test : 0.15 +Number of jumps of Y : 570 +p-value of test : 0.89 -Stat. AD (mNP2) : 1.08 -p-value of test : 0.32 +Stat. AD (mNP2) : 1.49 +p-value of test : 0.18 -Stat. AD after spacings (mNP2-S) : 1.02 -p-value of test : 0.35 +Stat. AD after spacings (mNP2-S) : 0.24 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:02:09.47 +CPU time used : 00:02:00.40 Generator state: N/A @@ -983,34 +983,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.93 -p-value of test : 0.39 +Stat. AD on the N values (NP) : 1.00 +p-value of test : 0.35 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) : 0.86 -p-value of test : 0.44 +A2 test on the values of A2 (m-NP) : 3.34 +p-value of test : 0.02 -Test on the Nm values of W_{n,i}(mNP1): 0.74 -p-value of test : 0.53 +Test on the Nm values of W_{n,i}(mNP1): 0.52 +p-value of test : 0.73 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 293 -p-value of test : 0.64 +Number of jumps of Y : 308 +p-value of test : 0.33 -Stat. AD (mNP2) : 0.39 -p-value of test : 0.85 +Stat. AD (mNP2) : 1.91 +p-value of test : 0.10 -Stat. AD after spacings (mNP2-S) : 0.54 -p-value of test : 0.71 +Stat. AD after spacings (mNP2-S) : 0.90 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:03:03.55 +CPU time used : 00:03:03.89 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) : 1.05 -p-value of test : 0.33 +Stat. AD on the N values (NP) : 3.16 +p-value of test : 0.02 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) : 0.36 -p-value of test : 0.88 +A2 test on the values of A2 (m-NP) : 2.32 +p-value of test : 0.06 -Test on the Nm values of W_{n,i}(mNP1): 0.26 -p-value of test : 0.97 +Test on the Nm values of W_{n,i}(mNP1): 0.79 +p-value of test : 0.49 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 159 -p-value of test : 0.24 +Number of jumps of Y : 158 +p-value of test : 0.27 -Stat. AD (mNP2) : 0.44 -p-value of test : 0.81 +Stat. AD (mNP2) : 1.06 +p-value of test : 0.33 -Stat. AD after spacings (mNP2-S) : 0.82 -p-value of test : 0.47 +Stat. AD after spacings (mNP2-S) : 1.51 +p-value of test : 0.18 ----------------------------------------------- -CPU time used : 00:03:19.47 +CPU time used : 00:03:16.72 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 5.82 -p-value of test : 0.56 +Chi-square statistic : 2.12 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:01:15.64 +CPU time used : 00:01:16.76 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 8.84 -p-value of test : 0.26 +Chi-square statistic : 4.82 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:01:32.03 +CPU time used : 00:01:29.64 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 18.36 -p-value of test : 0.43 +Chi-square statistic : 23.03 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:01:19.53 +CPU time used : 00:01:19.94 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 12.41 -p-value of test : 0.83 +Chi-square statistic : 13.90 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:01:32.67 +CPU time used : 00:01:33.10 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 50.13 -p-value of test : 0.62 +Chi-square statistic : 51.71 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:01:39.07 +CPU time used : 00:01:41.50 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 68.28 -p-value of test : 0.09 +Chi-square statistic : 53.09 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:02:01.22 +CPU time used : 00:01:59.64 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 38.66 -p-value of test : 0.94 +Chi-square statistic : 70.78 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:01:59.34 +CPU time used : 00:02:03.81 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 53.48 -p-value of test : 0.49 +Chi-square statistic : 32.58 +p-value of test : 0.9907 ----------------------------------------------- -CPU time used : 00:01:58.69 +CPU time used : 00:01:59.68 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 277.63 -p-value of test : 0.02 +Chi-square statistic : 230.00 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:02:13.06 +CPU time used : 00:02:24.22 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 441.31 -p-value of test : 0.39 +Chi-square statistic : 445.29 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:03:16.68 +CPU time used : 00:03:23.23 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1394.28 -p-value of test : 0.79 +Chi-square statistic : 1380.11 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:03:14.15 +CPU time used : 00:03:30.96 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7144.07 -p-value of test : 0.20 +Chi-square statistic : 7041.72 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:03:12.43 +CPU time used : 00:03:21.43 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.27 -p-value of test : 0.42 +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.58 -Kolmogorov-Smirnov- statistic = D- : 0.35 -p-value of test : 0.24 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.60 -Anderson-Darling statistic = A2 : 0.67 -p-value of test : 0.58 +Anderson-Darling statistic = A2 : 0.31 +p-value of test : 0.93 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 28.85 -p-value of test : 0.53 +Chi-square statistic : 28.51 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:01:47.07 +CPU time used : 00:01:49.32 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.33 +Kolmogorov-Smirnov+ statistic = D+ : 0.23 +p-value of test : 0.29 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.57 +Kolmogorov-Smirnov- statistic = D- : 0.096 +p-value of test : 0.78 -Anderson-Darling statistic = A2 : 0.51 -p-value of test : 0.73 +Anderson-Darling statistic = A2 : 0.56 +p-value of test : 0.68 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 54.80 -p-value of test : 0.67 +Chi-square statistic : 50.00 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:04:13.87 +CPU time used : 00:04:17.43 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 : 7.06 -p-value of test : 0.22 +Value of the statistic : 9.78 +p-value of test : 0.08 ----------------------------------------------- -CPU time used : 00:01:13.86 +CPU time used : 00:01:15.77 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 : 109.92 -p-value of test : 0.71 +Value of the statistic : 99.23 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:02:04.75 +CPU time used : 00:02:16.40 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 : 5175.79 -p-value of test : 0.09 +Value of the statistic : 5032.68 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:01:33.30 +CPU time used : 00:01:38.09 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 : 0.86 +p-value of test : 0.57 ----------------------------------------------- -CPU time used : 00:02:59.01 +CPU time used : 00:02:47.70 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 : 46140 -p-value of test : 0.11 +Observed number of collisions : 45585 +p-value of test : 0.92 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165870140 - j = 1 : 399907725 - j = 2 : 46130 - j = 3 : 5 + j = 0 : 1743165869585 + j = 1 : 399908834 + j = 2 : 45577 + j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:18.12 +CPU time used : 00:04:05.78 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 : 45982 -p-value of test : 0.32 +Observed number of collisions : 46073 +p-value of test : 0.18 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869982 - j = 1 : 399908039 - j = 2 : 45976 - j = 3 : 3 + j = 0 : 1743165870073 + j = 1 : 399907859 + j = 2 : 46063 + j = 3 : 5 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:44.10 +CPU time used : 00:04:32.56 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.12 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.24 -Kolmogorov-Smirnov- statistic = D- : 0.027 -p-value of test : 0.93 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.32 -Anderson-Darling statistic = A2 : 1.57 -p-value of test : 0.16 +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 : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.94 +p-value of test : 0.76 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.19 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.32 -Kolmogorov-Smirnov- statistic = D- : 0.045 -p-value of test : 0.83 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.12 -Anderson-Darling statistic = A2 : 0.90 -p-value of test : 0.41 +Anderson-Darling statistic = A2 : 1.12 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:03:35.92 +CPU time used : 00:03:19.57 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.10 -p-value of test : 0.51 +Kolmogorov-Smirnov+ statistic = D+ : 0.084 +p-value of test : 0.62 -Kolmogorov-Smirnov- statistic = D- : 0.087 -p-value of test : 0.60 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.21 -Anderson-Darling statistic = A2 : 0.32 -p-value of test : 0.92 +Anderson-Darling statistic = A2 : 0.86 +p-value of test : 0.44 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.47 +p-value of test : 0.24 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.061 -p-value of test : 0.77 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.37 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.24 +Kolmogorov-Smirnov- statistic = D- : 0.073 +p-value of test : 0.69 -Anderson-Darling statistic = A2 : 0.63 -p-value of test : 0.62 +Anderson-Darling statistic = A2 : 0.47 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:03:18.03 +CPU time used : 00:03:09.01 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.055 -p-value of test : 0.85 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.55 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.34 +Kolmogorov-Smirnov- statistic = D- : 0.089 +p-value of test : 0.69 -Anderson-Darling statistic = A2 : 0.66 -p-value of test : 0.59 +Anderson-Darling statistic = A2 : 0.37 +p-value of test : 0.88 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.19 +p-value of test : 0.56 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 0.03 +Kolmogorov-Smirnov+ statistic = D+ : 0.059 +p-value of test : 0.84 -Kolmogorov-Smirnov- statistic = D- : 0.066 -p-value of test : 0.80 +Kolmogorov-Smirnov- statistic = D- : 0.28 +p-value of test : 0.03 -Anderson-Darling statistic = A2 : 1.83 -p-value of test : 0.11 +Anderson-Darling statistic = A2 : 2.52 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:02:38.54 +CPU time used : 00:02:31.86 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.19 +Kolmogorov-Smirnov+ statistic = D+ : 5.34e-3 +p-value of test : 0.9941 -Kolmogorov-Smirnov- statistic = D- : 0.046 -p-value of test : 0.89 +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.11 -Anderson-Darling statistic = A2 : 0.99 -p-value of test : 0.36 +Anderson-Darling statistic = A2 : 1.19 +p-value of test : 0.27 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.81 +p-value of test : 0.06 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.22 +Kolmogorov-Smirnov+ statistic = D+ : 0.025 +p-value of test : 0.96 -Kolmogorov-Smirnov- statistic = D- : 0.067 -p-value of test : 0.80 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.24 -Anderson-Darling statistic = A2 : 0.94 -p-value of test : 0.39 +Anderson-Darling statistic = A2 : 1.04 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:02:57.21 +CPU time used : 00:02:55.97 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.014 -p-value of test : 0.98 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.30 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.11 +Kolmogorov-Smirnov- statistic = D- : 0.063 +p-value of test : 0.70 -Anderson-Darling statistic = A2 : 1.57 -p-value of test : 0.16 +Anderson-Darling statistic = A2 : 0.55 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:02:27.47 +CPU time used : 00:02:32.13 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.47 +Kolmogorov-Smirnov+ statistic = D+ : 0.048 +p-value of test : 0.88 -Kolmogorov-Smirnov- statistic = D- : 0.098 -p-value of test : 0.64 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.19 -Anderson-Darling statistic = A2 : 0.45 -p-value of test : 0.80 +Anderson-Darling statistic = A2 : 1.60 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:01:45.11 +CPU time used : 00:01:48.54 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.16 +Kolmogorov-Smirnov+ statistic = D+ : 0.060 +p-value of test : 0.83 -Kolmogorov-Smirnov- statistic = D- : 0.037 -p-value of test : 0.93 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.53 -Anderson-Darling statistic = A2 : 0.76 -p-value of test : 0.51 +Anderson-Darling statistic = A2 : 0.70 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:02:14.95 +CPU time used : 00:02:21.88 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+ : 6.58e-5 +p-value of test : 0.84 -Kolmogorov-Smirnov- statistic = D- : 1.02e-4 -p-value of test : 0.66 +Kolmogorov-Smirnov- statistic = D- : 2.54e-4 +p-value of test : 0.08 -Anderson-Darling statistic = A2 : 0.44 -p-value of test : 0.81 +Anderson-Darling statistic = A2 : 2.27 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:00:32.05 +CPU time used : 00:00:33.64 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.58e-4 -p-value of test : 0.37 +Kolmogorov-Smirnov+ statistic = D+ : 2.45e-4 +p-value of test : 0.09 -Kolmogorov-Smirnov- statistic = D- : 1.45e-4 -p-value of test : 0.43 +Kolmogorov-Smirnov- statistic = D- : 1.49e-4 +p-value of test : 0.41 -Anderson-Darling statistic = A2 : 1.01 -p-value of test : 0.35 +Anderson-Darling statistic = A2 : 1.30 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:00:34.54 +CPU time used : 00:00:34.60 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.095 -p-value of test : 0.46 +Normal statistic : -0.36 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:00:36.42 +CPU time used : 00:00:37.20 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.33 -p-value of test : 0.37 +Normal statistic : 0.076 +p-value of test : 0.47 ----------------------------------------------- -CPU time used : 00:00:35.45 +CPU time used : 00:00:41.32 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 0.61 -p-value of test : 0.27 +Normal statistic : 0.66 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:02:02.17 +CPU time used : 00:02:09.54 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -0.31 -p-value of test : 0.62 +Normal statistic : 0.51 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:02:07.23 +CPU time used : 00:02:07.12 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 70.47 -p-value of test : 0.36 +Chi-square statistic : 47.82 +p-value of test : 0.96 ----------------------------------------------- -CPU time used : 00:01:22.42 +CPU time used : 00:01:29.31 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 72.21 -p-value of test : 0.31 +Chi-square statistic : 50.98 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:01:35.29 +CPU time used : 00:01:41.37 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 60.84 -p-value of test : 0.69 +Chi-square statistic : 68.93 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:01:38.89 +CPU time used : 00:01:51.43 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 54.21 -p-value of test : 0.03 +Chi-square statistic : 34.67 +p-value of test : 0.58 ----------------------------------------------- -CPU time used : 00:01:23.25 +CPU time used : 00:01:29.32 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 35.14 -p-value of test : 0.56 +Chi-square statistic : 36.07 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:01:35.68 +CPU time used : 00:01:41.59 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 28.46 -p-value of test : 0.84 +Chi-square statistic : 39.91 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:01:38.07 +CPU time used : 00:01:42.53 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 20.00 -p-value of test : 0.89 +Chi-square statistic : 25.71 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:02:43.95 +CPU time used : 00:02:51.98 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.73 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.67 -Kolmogorov-Smirnov- statistic = D- : 0.33 -p-value of test : 0.09 +Kolmogorov-Smirnov- statistic = D- : 0.049 +p-value of test : 0.93 -Anderson-Darling statistic = A2 : 1.09 -p-value of test : 0.31 +Anderson-Darling statistic = A2 : 0.45 +p-value of test : 0.79 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 44.04 -p-value of test : 0.30 +Chi-square statistic : 33.83 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:01:20.95 +CPU time used : 00:01:38.04 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.37 +Kolmogorov-Smirnov+ statistic = D+ : 0.31 +p-value of test : 0.12 -Kolmogorov-Smirnov- statistic = D- : 0.22 -p-value of test : 0.32 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.72 -Anderson-Darling statistic = A2 : 0.83 -p-value of test : 0.46 +Anderson-Darling statistic = A2 : 1.14 +p-value of test : 0.29 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 43.98 -p-value of test : 0.31 +Chi-square statistic : 28.00 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:01:23.64 +CPU time used : 00:01:24.80 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 1.08 -p-value of test : 0.78 +Chi-square statistic : 2.45 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:02:16.22 +CPU time used : 00:02:29.87 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 4.36 -p-value of test : 0.23 +Chi-square statistic : 6.94 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:02:13.23 +CPU time used : 00:02:34.62 Generator state: N/A @@ -2444,11 +2444,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 2.73 -p-value of test : 0.26 +Chi-square statistic : 3.59 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:01:32.67 +CPU time used : 00:02:28.19 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.60 -p-value of test : 0.74 +Chi-square statistic : 1.18 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:01:17.62 +CPU time used : 00:01:59.22 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.55 +Kolmogorov-Smirnov+ statistic = D+ : 0.25 +p-value of test : 0.24 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.58 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.74 -Anderson-Darling statistic = A2 : 0.65 -p-value of test : 0.60 +Anderson-Darling statistic = A2 : 0.94 +p-value of test : 0.39 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 143.40 -p-value of test : 0.20 +Chi-square statistic : 111.84 +p-value of test : 0.87 ----------------------------------------------- -CPU time used : 00:01:05.87 +CPU time used : 00:01:01.04 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.28 -p-value of test : 0.17 +Kolmogorov-Smirnov+ statistic = D+ : 0.018 +p-value of test : 0.98 -Kolmogorov-Smirnov- statistic = D- : 0.24 -p-value of test : 0.26 +Kolmogorov-Smirnov- statistic = D- : 0.31 +p-value of test : 0.12 -Anderson-Darling statistic = A2 : 0.79 -p-value of test : 0.49 +Anderson-Darling statistic = A2 : 2.01 +p-value of test : 0.09 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17362.59 -p-value of test : 0.64 +Chi-square statistic :17796.92 +p-value of test : 0.03 ----------------------------------------------- -CPU time used : 00:01:53.01 +CPU time used : 00:01:55.10 Generator state: N/A @@ -2568,7 +2568,7 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 36 -ChiSquare statistic : 37.73 +ChiSquare statistic : 37.74 p-value of test : 0.39 @@ -2576,36 +2576,36 @@ p-value of test : 0.39 Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 28.10 -p-value of test : 0.79 +ChiSquare statistic : 32.04 +p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 24.29 -p-value of test : 0.50 +ChiSquare statistic : 12.79 +p-value of test : 0.98 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 28.24 -p-value of test : 0.25 +ChiSquare statistic : 34.30 +p-value of test : 0.08 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 4.16 -p-value of test : 0.9993 ***** +ChiSquare statistic : 17.52 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:00:49.22 +CPU time used : 00:00:45.19 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 : 30.81 -p-value of test : 0.71 +ChiSquare statistic : 49.38 +p-value of test : 0.07 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 46.24 -p-value of test : 0.10 +ChiSquare statistic : 28.93 +p-value of test : 0.76 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 36.91 -p-value of test : 0.06 +ChiSquare statistic : 23.68 +p-value of test : 0.54 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 27.30 -p-value of test : 0.29 +ChiSquare statistic : 27.70 +p-value of test : 0.27 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 22.97 -p-value of test : 0.15 +ChiSquare statistic : 21.92 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:00:49.32 +CPU time used : 00:00:51.65 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 : 129.52 -p-value of test : 0.83 +ChiSquare statistic : 173.28 +p-value of test : 0.06 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 139.91 -p-value of test : 0.63 +ChiSquare statistic : 147.87 +p-value of test : 0.44 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 491.91 -p-value of test : 0.59 +ChiSquare statistic : 512.96 +p-value of test : 0.33 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 134.34 -p-value of test : 0.52 +ChiSquare statistic : 135.55 +p-value of test : 0.49 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 54.78 -p-value of test : 0.95 +ChiSquare statistic : 64.46 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:00:59.81 +CPU time used : 00:01:28.11 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 : 118.72 -p-value of test : 0.95 +ChiSquare statistic : 158.52 +p-value of test : 0.23 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 146.59 -p-value of test : 0.47 +ChiSquare statistic : 123.71 +p-value of test : 0.91 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 502.87 -p-value of test : 0.46 +ChiSquare statistic : 553.79 +p-value of test : 0.05 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 124.06 -p-value of test : 0.76 +ChiSquare statistic : 119.80 +p-value of test : 0.84 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 69.92 -p-value of test : 0.61 +ChiSquare statistic : 80.08 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:01:05.95 +CPU time used : 00:01:26.70 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 : 371.89 -p-value of test : 0.66 +ChiSquare statistic : 412.04 +p-value of test : 0.16 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 369.54 -p-value of test : 0.69 +ChiSquare statistic : 385.83 +p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5029.22 -p-value of test : 0.38 +ChiSquare statistic : 4910.93 +p-value of test : 0.81 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 343.31 -p-value of test : 0.90 +ChiSquare statistic : 391.76 +p-value of test : 0.30 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 226.00 -p-value of test : 0.10 +ChiSquare statistic : 169.10 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:00:52.61 +CPU time used : 00:00:49.25 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 : 408.45 -p-value of test : 0.19 +ChiSquare statistic : 370.45 +p-value of test : 0.68 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 381.05 -p-value of test : 0.53 +ChiSquare statistic : 367.80 +p-value of test : 0.72 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5085.96 -p-value of test : 0.19 +ChiSquare statistic : 5010.34 +p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 413.51 -p-value of test : 0.10 +ChiSquare statistic : 359.04 +p-value of test : 0.75 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 213.92 -p-value of test : 0.24 +ChiSquare statistic : 209.68 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:00:51.80 +CPU time used : 00:00:50.42 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 5.58 -p-value of test : 0.94 +Chi2 statistic for size of jumps : 12.75 +p-value of test : 0.39 ----------------------------------------------- -Normal statistic for number of jumps : 1.11 -p-value of test : 0.13 +Normal statistic for number of jumps : 0.37 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:02:24.12 +CPU time used : 00:03:15.42 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 9.88 -p-value of test : 0.63 +Chi2 statistic for size of jumps : 11.45 +p-value of test : 0.49 ----------------------------------------------- -Normal statistic for number of jumps : 1.27 -p-value of test : 0.10 +Normal statistic for number of jumps : 2.79 +p-value of test : 2.6e-3 ----------------------------------------------- -CPU time used : 00:02:23.36 +CPU time used : 00:03:15.20 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.23 -p-value of test : 0.29 +Kolmogorov-Smirnov+ statistic = D+ : 0.40 +p-value of test : 0.03 -Kolmogorov-Smirnov- statistic = D- : 0.10 -p-value of test : 0.75 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.73 -Anderson-Darling statistic = A2 : 0.58 -p-value of test : 0.66 +Anderson-Darling statistic = A2 : 1.67 +p-value of test : 0.14 Tests on the sum of all N observations -Standardized normal statistic : -0.58 -p-value of test : 0.72 +Standardized normal statistic : -1.22 +p-value of test : 0.89 -Sample variance : 0.62 -p-value of test : 0.78 +Sample variance : 0.63 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:00:54.79 +CPU time used : 00:01:11.47 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.32 -p-value of test : 0.10 +Kolmogorov-Smirnov+ statistic = D+ : 0.079 +p-value of test : 0.84 -Kolmogorov-Smirnov- statistic = D- : 0.085 -p-value of test : 0.82 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.62 -Anderson-Darling statistic = A2 : 1.06 -p-value of test : 0.33 +Anderson-Darling statistic = A2 : 0.21 +p-value of test : 0.99 Tests on the sum of all N observations -Standardized normal statistic : -0.86 -p-value of test : 0.80 +Standardized normal statistic : 0.36 +p-value of test : 0.36 -Sample variance : 0.48 -p-value of test : 0.89 +Sample variance : 1.07 +p-value of test : 0.38 ----------------------------------------------- -CPU time used : 00:01:00.61 +CPU time used : 00:01:11.21 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.022 -p-value of test : 0.02 +Kolmogorov-Smirnov+ statistic = D+ : 9.85e-3 +p-value of test : 0.45 -Kolmogorov-Smirnov- statistic = D- : 9.63e-3 -p-value of test : 0.46 +Kolmogorov-Smirnov- statistic = D- : 9.77e-3 +p-value of test : 0.45 -Anderson-Darling statistic = A2 : 2.22 -p-value of test : 0.07 +Anderson-Darling statistic = A2 : 0.66 +p-value of test : 0.59 ----------------------------------------------- -CPU time used : 00:00:47.54 +CPU time used : 00:00:46.97 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 6.98e-3 -p-value of test : 0.67 - -Kolmogorov-Smirnov- statistic = D- : 0.025 -p-value of test : 7.1e-3 +Kolmogorov-Smirnov+ statistic = D+ : 5.54e-3 +p-value of test : 0.77 -Anderson-Darling statistic = A2 : 2.39 +Kolmogorov-Smirnov- statistic = D- : 0.019 p-value of test : 0.06 +Anderson-Darling statistic = A2 : 1.19 +p-value of test : 0.27 + ----------------------------------------------- -CPU time used : 00:00:46.97 +CPU time used : 00:00:45.94 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 10.83 -p-value of test : 0.21 +Chi-square statistic : 3.40 +p-value of test : 0.91 ----------------------------------------------- -Global longest run of 1 : 32.00 -p-value of test : 0.50 +Global longest run of 1 : 30.00 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:01:41.95 +CPU time used : 00:01:51.48 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 6.24 -p-value of test : 0.62 +Chi-square statistic : 23.57 +p-value of test : 2.7e-3 ----------------------------------------------- -Global longest run of 1 : 34.00 -p-value of test : 0.25 +Global longest run of 1 : 35.00 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:01:47.12 +CPU time used : 00:01:55.10 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.082 -p-value of test : 0.83 +Kolmogorov-Smirnov+ statistic = D+ : 0.095 +p-value of test : 0.78 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.71 +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.32 -Anderson-Darling statistic = A2 : 0.54 -p-value of test : 0.70 +Anderson-Darling statistic = A2 : 0.66 +p-value of test : 0.59 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 219.29 -p-value of test : 0.17 +Chi-square statistic : 213.46 +p-value of test : 0.24 ----------------------------------------------- -CPU time used : 00:02:55.93 +CPU time used : 00:02:59.68 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.40 -p-value of test : 0.03 - -Kolmogorov-Smirnov- statistic = D- : 0.092 -p-value of test : 0.80 +Kolmogorov-Smirnov+ statistic = D+ : 0.071 +p-value of test : 0.87 -Anderson-Darling statistic = A2 : 1.29 +Kolmogorov-Smirnov- statistic = D- : 0.25 p-value of test : 0.24 +Anderson-Darling statistic = A2 : 0.65 +p-value of test : 0.60 + Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 188.28 -p-value of test : 0.71 +Chi-square statistic : 216.54 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:02:57.39 +CPU time used : 00:03:05.72 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 0.16 +Kolmogorov-Smirnov+ statistic = D+ : 0.070 +p-value of test : 0.87 -Kolmogorov-Smirnov- statistic = D- : 0.080 -p-value of test : 0.84 +Kolmogorov-Smirnov- statistic = D- : 0.24 +p-value of test : 0.28 -Anderson-Darling statistic = A2 : 1.00 -p-value of test : 0.36 +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 : 9823.42 -p-value of test : 0.89 +Chi-square statistic :10138.25 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:01:07.96 +CPU time used : 00:01:12.37 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.28 -p-value of test : 0.18 +Kolmogorov-Smirnov+ statistic = D+ : 0.39 +p-value of test : 0.04 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.67 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.57 -Anderson-Darling statistic = A2 : 0.91 -p-value of test : 0.40 +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 : 10000 -Chi-square statistic : 9876.28 -p-value of test : 0.81 +Chi-square statistic : 9895.27 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:01:11.20 +CPU time used : 00:01:09.45 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.31 -p-value of test : 0.62 +Normal statistic : -0.055 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:01:23.14 +CPU time used : 00:01:25.87 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.99 -p-value of test : 0.16 +Normal statistic : -0.43 +p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:01:18.45 +CPU time used : 00:01:22.96 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.45 -p-value of test : 0.67 +Normal statistic : -1.25 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:05:11.62 +CPU time used : 00:05:24.45 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 8.97e-3 -p-value of test : 0.9903 +Kolmogorov-Smirnov+ statistic = D+ : 0.27 +p-value of test : 0.19 -Kolmogorov-Smirnov- statistic = D- : 0.31 -p-value of test : 0.12 +Kolmogorov-Smirnov- statistic = D- : 0.057 +p-value of test : 0.91 -Anderson-Darling statistic = A2 : 1.17 -p-value of test : 0.28 +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 : 4890 -Chi-square statistic : 5031.19 -p-value of test : 0.08 +Chi-square statistic : 4782.03 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:02:14.87 +CPU time used : 00:02:10.48 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.66 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.73 -Kolmogorov-Smirnov- statistic = D- : 0.36 -p-value of test : 0.06 +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.25 -Anderson-Darling statistic = A2 : 1.22 -p-value of test : 0.26 +Anderson-Darling statistic = A2 : 0.59 +p-value of test : 0.65 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4955.08 -p-value of test : 0.25 +Chi-square statistic : 4917.33 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:02:17.37 +CPU time used : 00:02:12.48 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 : 4052.41 -p-value of test : 0.76 +Chi-square statistic : 4098.67 +p-value of test : 0.58 ----------------------------------------------- -CPU time used : 00:01:39.70 +CPU time used : 00:01:35.80 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 : 3907.79 -p-value of test : 0.9903 +Chi-square statistic : 4140.99 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:01:41.22 +CPU time used : 00:01:37.73 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 :11921.55 -p-value of test : 0.26 +Chi-square statistic :11995.20 +p-value of test : 0.13 ----------------------------------------------- -CPU time used :
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