http://git-wip-us.apache.org/repos/asf/commons-rng/blob/a61e17b9/src/site/resources/txt/userguide/stress/tu/run_1/tu_9 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_1/tu_9 b/src/site/resources/txt/userguide/stress/tu/run_1/tu_9 index a77406d..5a811d6 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_1/tu_9 +++ b/src/site/resources/txt/userguide/stress/tu/run_1/tu_9 @@ -1,9 +1,9 @@ # -# RNG: org.apache.commons.rng.internal.source32.ISAACRandom +# RNG: org.apache.commons.rng.core.source32.ISAACRandom # -# Java: 1.8.0_66 -# Runtime: 1.8.0_66-b17 -# JVM: Java HotSpot(TM) 64-Bit Server VM 25.66-b17 +# Java: 1.8.0_111 +# Runtime: 1.8.0_111-b14 +# JVM: Java HotSpot(TM) 64-Bit Server VM 25.111-b14 # OS: Linux 3.16.0-4-amd64 amd64 # # Analyzer: ./stdin2testu01 BigCrush @@ -42,11 +42,11 @@ Test Results for Delta = 1.0000 Number of degrees of freedom : 16711680 Value of the statistic : 1.67e+7 -p-value of test : 0.12 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:02:24.43 +CPU time used : 00:02:39.99 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 : 0.09 +p-value of test : 0.76 ----------------------------------------------- -CPU time used : 00:02:32.14 +CPU time used : 00:02:31.02 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 : 1366 -p-value of test : 0.48 +Observed number of collisions : 1328 +p-value of test : 0.83 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334486 - j = 1 : 599997268 - j = 2 : 1366 + j = 0 : 131940795334448 + j = 1 : 599997344 + j = 2 : 1328 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:47.44 +CPU time used : 00:05:26.92 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 : 1361 -p-value of test : 0.53 +Observed number of collisions : 1393 +p-value of test : 0.22 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334481 - j = 1 : 599997278 - j = 2 : 1361 + j = 0 : 131940795334513 + j = 1 : 599997214 + j = 2 : 1393 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:49.02 +CPU time used : 00:06:41.18 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 : 1358 -p-value of test : 0.56 +Observed number of collisions : 1373 +p-value of test : 0.41 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334478 - j = 1 : 599997284 - j = 2 : 1358 + j = 0 : 131940795334493 + j = 1 : 599997254 + j = 2 : 1373 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:39.47 +CPU time used : 00:09:42.46 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 : 1351 -p-value of test : 0.63 +Observed number of collisions : 1376 +p-value of test : 0.38 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334471 - j = 1 : 599997298 - j = 2 : 1351 + j = 0 : 131940795334496 + j = 1 : 599997248 + j = 2 : 1376 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:37.17 +CPU time used : 00:10:09.11 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 : 1354 -p-value of test : 0.60 +Observed number of collisions : 1368 +p-value of test : 0.46 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334474 - j = 1 : 599997292 - j = 2 : 1354 + j = 0 : 131940795334488 + j = 1 : 599997264 + j = 2 : 1368 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:00.28 +CPU time used : 00:09:37.61 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 : 1362 -p-value of test : 0.52 +Observed number of collisions : 1328 +p-value of test : 0.83 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334482 - j = 1 : 599997276 - j = 2 : 1362 + j = 0 : 131940795334448 + j = 1 : 599997344 + j = 2 : 1328 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:31.23 +CPU time used : 00:09:28.53 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 : 1377 -p-value of test : 0.37 +Observed number of collisions : 1400 +p-value of test : 0.17 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334497 - j = 1 : 599997246 - j = 2 : 1377 + j = 0 : 131940795334520 + j = 1 : 599997200 + j = 2 : 1400 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:33.96 +CPU time used : 00:09:55.40 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 : 1267 -p-value of test : 0.9959 +Observed number of collisions : 1306 +p-value of test : 0.94 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334387 - j = 1 : 599997466 - j = 2 : 1267 + j = 0 : 131940795334426 + j = 1 : 599997388 + j = 2 : 1306 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:58.39 +CPU time used : 00:09:57.94 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 : 1402 -p-value of test : 0.16 +Observed number of collisions : 1364 +p-value of test : 0.50 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334522 - j = 1 : 599997196 - j = 2 : 1402 + j = 0 : 131940795334484 + j = 1 : 599997272 + j = 2 : 1364 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:09.21 +CPU time used : 00:09:49.82 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 : 1357 -p-value of test : 0.57 +Observed number of collisions : 1367 +p-value of test : 0.47 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334477 - j = 1 : 599997286 - j = 2 : 1357 + j = 0 : 131940795334487 + j = 1 : 599997266 + j = 2 : 1367 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:32.65 +CPU time used : 00:08:50.52 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5396 -p-value of test : 0.63 +Total observed number : 5421 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:05:35.57 +CPU time used : 00:05:28.43 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4274 -p-value of test : 0.83 +Total observed number : 4363 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:02:31.35 +CPU time used : 00:02:25.72 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7350 -p-value of test : 0.36 +Total observed number : 7249 +p-value of test : 0.79 ----------------------------------------------- -CPU time used : 00:04:15.06 +CPU time used : 00:04:10.27 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4341 -p-value of test : 0.48 +Total observed number : 4371 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:03:08.01 +CPU time used : 00:03:04.73 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4396 -p-value of test : 0.19 +Total observed number : 4302 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:03:20.89 +CPU time used : 00:03:18.35 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7435 -p-value of test : 0.09 +Total observed number : 7384 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:05:22.63 +CPU time used : 00:05:18.07 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7269 -p-value of test : 0.72 +Total observed number : 7310 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:05:22.27 +CPU time used : 00:05:17.22 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7337 -p-value of test : 0.42 +Total observed number : 7346 +p-value of test : 0.37 ----------------------------------------------- -CPU time used : 00:06:58.10 +CPU time used : 00:06:53.01 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7453 -p-value of test : 0.06 +Total observed number : 7534 +p-value of test : 6.1e-3 ----------------------------------------------- -CPU time used : 00:07:37.42 +CPU time used : 00:07:34.61 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) : 1.00 -p-value of test : 0.35 +Stat. AD on the N values (NP) : 2.07 +p-value of test : 0.08 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) : 0.33 -p-value of test : 0.92 +A2 test on the values of A2 (m-NP) : 0.88 +p-value of test : 0.43 -Test on the Nm values of W_{n,i}(mNP1): 2.45 -p-value of test : 0.05 +Test on the Nm values of W_{n,i}(mNP1): 4.25 +p-value of test : 6.6e-3 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 968 -p-value of test : 0.01 +Number of jumps of Y : 807 +p-value of test : 0.9991 ***** -Stat. AD (mNP2) : 4.26 -p-value of test : 6.5e-3 +Stat. AD (mNP2) : 0.89 +p-value of test : 0.42 -Stat. AD after spacings (mNP2-S) : 4.65 -p-value of test : 4.2e-3 +Stat. AD after spacings (mNP2-S) : 1.85 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:03:50.71 +CPU time used : 00:04:31.87 Generator state: N/A @@ -942,27 +942,27 @@ p-value of test : 0.08 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) : 0.51 -p-value of test : 0.73 +A2 test on the values of A2 (m-NP) : 0.86 +p-value of test : 0.44 -Test on the Nm values of W_{n,i}(mNP1): 0.60 -p-value of test : 0.65 +Test on the Nm values of W_{n,i}(mNP1): 1.63 +p-value of test : 0.15 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 603 -p-value of test : 0.46 +Number of jumps of Y : 616 +p-value of test : 0.26 -Stat. AD (mNP2) : 0.56 -p-value of test : 0.69 +Stat. AD (mNP2) : 1.95 +p-value of test : 0.10 -Stat. AD after spacings (mNP2-S) : 0.65 -p-value of test : 0.60 +Stat. AD after spacings (mNP2-S) : 1.80 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:02:50.29 +CPU time used : 00:03:03.25 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) : 2.17 -p-value of test : 0.08 +Stat. AD on the N values (NP) : 0.24 +p-value of test : 0.98 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 1.04 -p-value of test : 0.34 +A2 test on the values of A2 (m-NP) : 1.21 +p-value of test : 0.26 Test on the Nm values of W_{n,i}(mNP1): 0.37 -p-value of test : 0.87 +p-value of test : 0.88 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 304 -p-value of test : 0.42 +Number of jumps of Y : 293 +p-value of test : 0.64 -Stat. AD (mNP2) : 0.97 -p-value of test : 0.37 +Stat. AD (mNP2) : 0.44 +p-value of test : 0.81 -Stat. AD after spacings (mNP2-S) : 1.33 -p-value of test : 0.22 +Stat. AD after spacings (mNP2-S) : 1.03 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:04:11.51 +CPU time used : 00:04:40.85 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) : 0.29 -p-value of test : 0.94 +Stat. AD on the N values (NP) : 0.18 +p-value of test : 0.9944 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) : 2.03 -p-value of test : 0.09 +A2 test on the values of A2 (m-NP) : 0.59 +p-value of test : 0.65 -Test on the Nm values of W_{n,i}(mNP1): 0.68 -p-value of test : 0.58 +Test on the Nm values of W_{n,i}(mNP1): 3.22 +p-value of test : 0.02 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 151 -p-value of test : 0.48 +Number of jumps of Y : 123 +p-value of test : 0.99 -Stat. AD (mNP2) : 0.53 -p-value of test : 0.72 +Stat. AD (mNP2) : 0.22 +p-value of test : 0.98 -Stat. AD after spacings (mNP2-S) : 1.44 -p-value of test : 0.19 +Stat. AD after spacings (mNP2-S) : 4.27 +p-value of test : 6.5e-3 ----------------------------------------------- -CPU time used : 00:05:02.61 +CPU time used : 00:04:57.77 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 5.75 -p-value of test : 0.57 +Chi-square statistic : 7.95 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:01:45.43 +CPU time used : 00:01:41.43 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 7.83 -p-value of test : 0.35 +Chi-square statistic : 5.90 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:01:59.31 +CPU time used : 00:02:00.01 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 17.43 -p-value of test : 0.49 +Chi-square statistic : 23.87 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:01:41.19 +CPU time used : 00:01:39.07 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 29.68 -p-value of test : 0.04 +Chi-square statistic : 16.17 +p-value of test : 0.58 ----------------------------------------------- -CPU time used : 00:01:57.89 +CPU time used : 00:01:55.75 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 39.37 -p-value of test : 0.93 +Chi-square statistic : 91.68 +p-value of test : 1.0e-3 ----------------------------------------------- -CPU time used : 00:02:09.25 +CPU time used : 00:02:12.05 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 70.15 -p-value of test : 0.07 +Chi-square statistic : 32.43 +p-value of test : 0.9913 ----------------------------------------------- -CPU time used : 00:02:30.00 +CPU time used : 00:02:32.30 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 54.24 -p-value of test : 0.47 +Chi-square statistic : 66.95 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:02:27.12 +CPU time used : 00:02:33.12 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 52.51 -p-value of test : 0.53 +Chi-square statistic : 53.48 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:02:23.28 +CPU time used : 00:02:32.72 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 217.02 -p-value of test : 0.75 +Chi-square statistic : 263.62 +p-value of test : 0.08 ----------------------------------------------- -CPU time used : 00:02:43.64 +CPU time used : 00:02:56.65 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 409.79 -p-value of test : 0.79 +Chi-square statistic : 441.94 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:04:07.23 +CPU time used : 00:04:14.23 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1332.13 -p-value of test : 0.98 +Chi-square statistic : 1450.01 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:04:04.46 +CPU time used : 00:04:15.43 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7002.64 -p-value of test : 0.64 +Chi-square statistic : 7091.85 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:04:16.70 +CPU time used : 00:04:05.47 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.30 -p-value of test : 0.35 +Kolmogorov-Smirnov+ statistic = D+ : 0.012 +p-value of test : 0.99 -Kolmogorov-Smirnov- statistic = D- : 0.100 -p-value of test : 0.85 +Kolmogorov-Smirnov- statistic = D- : 0.64 +p-value of test : 8.6e-3 -Anderson-Darling statistic = A2 : 0.51 -p-value of test : 0.73 +Anderson-Darling statistic = A2 : 2.74 +p-value of test : 0.04 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 23.53 -p-value of test : 0.79 +Chi-square statistic : 47.13 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:02:07.57 +CPU time used : 00:02:04.23 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.55 +Kolmogorov-Smirnov+ statistic = D+ : 0.22 +p-value of test : 0.33 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.35 +Kolmogorov-Smirnov- statistic = D- : 0.063 +p-value of test : 0.89 -Anderson-Darling statistic = A2 : 0.49 -p-value of test : 0.76 +Anderson-Darling statistic = A2 : 0.69 +p-value of test : 0.56 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 60.42 -p-value of test : 0.46 +Chi-square statistic : 48.51 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:04:54.50 +CPU time used : 00:04:59.53 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 : 4.51 -p-value of test : 0.48 +Value of the statistic : 1.84 +p-value of test : 0.87 ----------------------------------------------- -CPU time used : 00:01:29.19 +CPU time used : 00:01:31.89 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 : 118.45 -p-value of test : 0.50 +Value of the statistic : 156.56 +p-value of test : 0.01 ----------------------------------------------- -CPU time used : 00:02:32.67 +CPU time used : 00:02:36.79 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 : 4976.86 -p-value of test : 0.73 +Value of the statistic : 5125.41 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:01:55.10 +CPU time used : 00:01:58.68 Generator state: N/A @@ -1567,12 +1567,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 3628799 -Value of the statistic : 3.63e+6 -p-value of test : 0.30 +Value of the statistic : 3.62e+6 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:03:53.32 +CPU time used : 00:03:47.95 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 : 46190 -p-value of test : 0.07 +Observed number of collisions : 46175 +p-value of test : 0.08 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165870190 - j = 1 : 399907624 - j = 2 : 46182 - j = 3 : 4 + j = 0 : 1743165870175 + j = 1 : 399907653 + j = 2 : 46169 + j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:23.68 +CPU time used : 00:04:58.63 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 : 45742 -p-value of test : 0.74 +Observed number of collisions : 45849 +p-value of test : 0.56 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869742 - j = 1 : 399908517 - j = 2 : 45740 - j = 3 : 1 + j = 0 : 1743165869849 + j = 1 : 399908304 + j = 2 : 45845 + j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:37.93 +CPU time used : 00:05:35.62 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.073 -p-value of test : 0.62 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.26 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.34 +Kolmogorov-Smirnov- statistic = D- : 0.034 +p-value of test : 0.89 -Anderson-Darling statistic = A2 : 0.41 -p-value of test : 0.83 +Anderson-Darling statistic = A2 : 0.70 +p-value of test : 0.56 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.44 +p-value of test : 0.81 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.037 -p-value of test : 0.88 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.42 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.14 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.37 -Anderson-Darling statistic = A2 : 0.70 -p-value of test : 0.56 +Anderson-Darling statistic = A2 : 0.68 +p-value of test : 0.57 ----------------------------------------------- -CPU time used : 00:04:27.05 +CPU time used : 00:05:15.19 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.29 +Kolmogorov-Smirnov+ statistic = D+ : 8.93e-3 +p-value of test : 0.99 -Kolmogorov-Smirnov- statistic = D- : 0.062 -p-value of test : 0.76 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.14 -Anderson-Darling statistic = A2 : 0.61 -p-value of test : 0.63 +Anderson-Darling statistic = A2 : 1.46 +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 : 0.74 +p-value of test : 0.04 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.089 -p-value of test : 0.59 +Kolmogorov-Smirnov+ statistic = D+ : 0.071 +p-value of test : 0.70 -Kolmogorov-Smirnov- statistic = D- : 0.035 -p-value of test : 0.91 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.17 -Anderson-Darling statistic = A2 : 0.27 -p-value of test : 0.96 +Anderson-Darling statistic = A2 : 1.45 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:04:12.37 +CPU time used : 00:04:52.34 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.082 -p-value of test : 0.73 +Kolmogorov-Smirnov+ statistic = D+ : 0.028 +p-value of test : 0.95 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.17 +Kolmogorov-Smirnov- statistic = D- : 0.31 +p-value of test : 0.02 -Anderson-Darling statistic = A2 : 0.52 -p-value of test : 0.72 +Anderson-Darling statistic = A2 : 2.30 +p-value of test : 0.06 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.39 +p-value of test : 0.04 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.23 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.41 -Kolmogorov-Smirnov- statistic = D- : 0.098 -p-value of test : 0.64 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.57 -Anderson-Darling statistic = A2 : 0.59 -p-value of test : 0.66 +Anderson-Darling statistic = A2 : 0.85 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:03:13.76 +CPU time used : 00:03:42.20 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 : 0.14 +Kolmogorov-Smirnov+ statistic = D+ : 0.048 +p-value of test : 0.88 -Kolmogorov-Smirnov- statistic = D- : 0.036 -p-value of test : 0.93 +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.22 -Anderson-Darling statistic = A2 : 1.09 -p-value of test : 0.31 +Anderson-Darling statistic = A2 : 0.52 +p-value of test : 0.73 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.86 +p-value of test : 0.24 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.058 -p-value of test : 0.84 +Kolmogorov-Smirnov+ statistic = D+ : 0.24 +p-value of test : 0.08 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.56 +Kolmogorov-Smirnov- statistic = D- : 0.029 +p-value of test : 0.95 -Anderson-Darling statistic = A2 : 0.33 -p-value of test : 0.92 +Anderson-Darling statistic = A2 : 0.76 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:03:44.82 +CPU time used : 00:04:09.70 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.061 -p-value of test : 0.72 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.22 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.24 +Kolmogorov-Smirnov- statistic = D- : 0.037 +p-value of test : 0.88 -Anderson-Darling statistic = A2 : 0.51 -p-value of test : 0.73 +Anderson-Darling statistic = A2 : 1.51 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:03:09.05 +CPU time used : 00:04:28.45 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.25 -p-value of test : 0.07 +Kolmogorov-Smirnov+ statistic = D+ : 0.24 +p-value of test : 0.09 -Kolmogorov-Smirnov- statistic = D- : 0.013 +Kolmogorov-Smirnov- statistic = D- : 0.012 p-value of test : 0.98 -Anderson-Darling statistic = A2 : 1.81 -p-value of test : 0.12 +Anderson-Darling statistic = A2 : 3.17 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:02:12.22 +CPU time used : 00:02:52.70 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.10 -p-value of test : 0.62 +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.17 -Kolmogorov-Smirnov- statistic = D- : 0.10 -p-value of test : 0.61 +Kolmogorov-Smirnov- statistic = D- : 0.069 +p-value of test : 0.79 -Anderson-Darling statistic = A2 : 0.48 -p-value of test : 0.76 +Anderson-Darling statistic = A2 : 1.17 +p-value of test : 0.28 ----------------------------------------------- -CPU time used : 00:02:49.17 +CPU time used : 00:03:29.27 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.84e-4 -p-value of test : 0.26 +Kolmogorov-Smirnov+ statistic = D+ : 3.17e-5 +p-value of test : 0.96 -Kolmogorov-Smirnov- statistic = D- : 1.53e-4 -p-value of test : 0.39 +Kolmogorov-Smirnov- statistic = D- : 2.31e-4 +p-value of test : 0.12 -Anderson-Darling statistic = A2 : 1.09 -p-value of test : 0.31 +Anderson-Darling statistic = A2 : 1.41 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:00:40.34 +CPU time used : 00:00:43.57 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.92e-4 -p-value of test : 0.23 +Kolmogorov-Smirnov+ statistic = D+ : 1.01e-4 +p-value of test : 0.66 -Kolmogorov-Smirnov- statistic = D- : 2.65e-5 -p-value of test : 0.97 +Kolmogorov-Smirnov- statistic = D- : 1.58e-4 +p-value of test : 0.37 -Anderson-Darling statistic = A2 : 1.43 -p-value of test : 0.19 +Anderson-Darling statistic = A2 : 0.40 +p-value of test : 0.85 ----------------------------------------------- -CPU time used : 00:00:44.62 +CPU time used : 00:00:46.47 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.34 -p-value of test : 0.63 +Normal statistic : -0.49 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:00:45.25 +CPU time used : 00:00:44.29 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 1.69 -p-value of test : 0.05 +Normal statistic : 0.73 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:00:45.19 +CPU time used : 00:00:44.54 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -2.95 -p-value of test : 0.9984 +Normal statistic : -0.55 +p-value of test : 0.71 ----------------------------------------------- -CPU time used : 00:02:25.02 +CPU time used : 00:03:24.86 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -0.34 -p-value of test : 0.63 +Normal statistic : -1.61 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:02:29.21 +CPU time used : 00:03:32.65 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 56.02 +Chi-square statistic : 55.90 p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:01:44.82 +CPU time used : 00:01:45.85 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 43.25 -p-value of test : 0.99 +Chi-square statistic : 61.46 +p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:02:15.03 +CPU time used : 00:02:14.23 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 61.84 -p-value of test : 0.66 +Chi-square statistic : 52.39 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:02:15.02 +CPU time used : 00:02:11.39 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 19.39 -p-value of test : 0.9924 +Chi-square statistic : 26.63 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:01:43.80 +CPU time used : 00:01:44.95 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 34.07 -p-value of test : 0.61 +Chi-square statistic : 51.02 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:02:14.22 +CPU time used : 00:02:11.07 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 30.47 -p-value of test : 0.77 +Chi-square statistic : 38.05 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:02:13.20 +CPU time used : 00:02:10.09 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 16.71 +Chi-square statistic : 16.31 p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:03:21.97 +CPU time used : 00:03:28.70 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.23 -p-value of test : 0.30 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.36 -Kolmogorov-Smirnov- statistic = D- : 0.044 -p-value of test : 0.94 +Kolmogorov-Smirnov- statistic = D- : 0.057 +p-value of test : 0.90 -Anderson-Darling statistic = A2 : 0.67 -p-value of test : 0.58 +Anderson-Darling statistic = A2 : 0.46 +p-value of test : 0.78 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 32.04 -p-value of test : 0.81 +Chi-square statistic : 34.11 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:01:51.84 +CPU time used : 00:01:55.17 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.68 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.42 -Kolmogorov-Smirnov- statistic = D- : 0.26 -p-value of test : 0.22 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.75 -Anderson-Darling statistic = A2 : 0.51 -p-value of test : 0.74 +Anderson-Darling statistic = A2 : 0.54 +p-value of test : 0.71 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 41.85 -p-value of test : 0.39 +Chi-square statistic : 36.91 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:01:52.05 +CPU time used : 00:01:55.43 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 6.08 -p-value of test : 0.11 +Chi-square statistic : 0.28 +p-value of test : 0.96 ----------------------------------------------- -CPU time used : 00:03:03.79 +CPU time used : 00:03:10.45 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 1.90 -p-value of test : 0.59 +Chi-square statistic : 1.30 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:03:03.32 +CPU time used : 00:03:11.65 Generator state: N/A @@ -2448,7 +2448,7 @@ Chi-square statistic : 2.38 p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:02:08.79 +CPU time used : 00:02:13.52 Generator state: N/A @@ -2468,11 +2468,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.41 -p-value of test : 0.82 +Chi-square statistic : 0.37 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:01:46.26 +CPU time used : 00:01:50.38 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.61 +Kolmogorov-Smirnov+ statistic = D+ : 0.063 +p-value of test : 0.89 -Kolmogorov-Smirnov- statistic = D- : 0.053 -p-value of test : 0.91 +Kolmogorov-Smirnov- statistic = D- : 0.56 +p-value of test : 7.8e-4 ***** -Anderson-Darling statistic = A2 : 0.59 -p-value of test : 0.66 +Anderson-Darling statistic = A2 : 5.42 +p-value of test : 1.9e-3 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 121.15 -p-value of test : 0.70 +Chi-square statistic : 172.51 +p-value of test : 7.5e-3 ----------------------------------------------- -CPU time used : 00:01:16.35 +CPU time used : 00:01:13.88 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.042 -p-value of test : 0.94 +Kolmogorov-Smirnov+ statistic = D+ : 0.42 +p-value of test : 0.02 -Kolmogorov-Smirnov- statistic = D- : 0.29 -p-value of test : 0.15 +Kolmogorov-Smirnov- statistic = D- : 0.090 +p-value of test : 0.80 -Anderson-Darling statistic = A2 : 1.16 -p-value of test : 0.28 +Anderson-Darling statistic = A2 : 1.64 +p-value of test : 0.15 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17675.06 -p-value of test : 0.10 +Chi-square statistic :17207.67 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:02:01.09 +CPU time used : 00:02:03.59 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 : 32.46 -p-value of test : 0.64 +ChiSquare statistic : 21.73 +p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 27.95 -p-value of test : 0.80 +ChiSquare statistic : 35.39 +p-value of test : 0.45 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 20.46 -p-value of test : 0.72 +ChiSquare statistic : 18.08 +p-value of test : 0.84 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 19.70 -p-value of test : 0.71 +ChiSquare statistic : 19.45 +p-value of test : 0.73 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 18.93 -p-value of test : 0.33 +ChiSquare statistic : 16.15 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:01:01.43 +CPU time used : 00:01:03.59 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 : 37.03 -p-value of test : 0.42 +ChiSquare statistic : 48.53 +p-value of test : 0.08 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 33.98 -p-value of test : 0.52 +ChiSquare statistic : 37.67 +p-value of test : 0.35 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 23.79 -p-value of test : 0.53 +ChiSquare statistic : 21.49 +p-value of test : 0.67 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 15.67 -p-value of test : 0.90 +ChiSquare statistic : 24.96 +p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 14.95 -p-value of test : 0.60 +ChiSquare statistic : 14.25 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:01:02.54 +CPU time used : 00:01:04.72 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 : 156.10 -p-value of test : 0.27 +ChiSquare statistic : 128.23 +p-value of test : 0.85 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 152.55 -p-value of test : 0.34 +ChiSquare statistic : 168.72 +p-value of test : 0.10 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 489.10 -p-value of test : 0.63 +ChiSquare statistic : 517.72 +p-value of test : 0.28 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 98.97 -p-value of test : 0.9928 +ChiSquare statistic : 132.08 +p-value of test : 0.58 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 66.68 -p-value of test : 0.71 +ChiSquare statistic : 67.36 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:18.52 +CPU time used : 00:01:23.68 Generator state: N/A @@ -2748,44 +2748,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 146 -ChiSquare statistic : 140.70 -p-value of test : 0.61 +ChiSquare statistic : 156.09 +p-value of test : 0.27 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 160.43 -p-value of test : 0.20 +ChiSquare statistic : 163.70 +p-value of test : 0.15 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 475.24 -p-value of test : 0.78 +ChiSquare statistic : 462.95 +p-value of test : 0.88 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 131.32 -p-value of test : 0.60 +ChiSquare statistic : 134.02 +p-value of test : 0.53 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 72.18 -p-value of test : 0.54 +ChiSquare statistic : 57.63 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:01:19.25 +CPU time used : 00:01:24.86 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 : 381.38 -p-value of test : 0.53 +ChiSquare statistic : 371.67 +p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 384.98 -p-value of test : 0.48 +ChiSquare statistic : 354.96 +p-value of test : 0.85 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4929.53 -p-value of test : 0.76 +ChiSquare statistic : 5015.10 +p-value of test : 0.44 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 362.49 -p-value of test : 0.71 +ChiSquare statistic : 370.76 +p-value of test : 0.60 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 211.60 -p-value of test : 0.27 +ChiSquare statistic : 192.81 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:01:04.65 +CPU time used : 00:01:12.83 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 : 372.99 -p-value of test : 0.65 +ChiSquare statistic : 405.21 +p-value of test : 0.22 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 326.21 -p-value of test : 0.99 +ChiSquare statistic : 369.51 +p-value of test : 0.69 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5167.67 -p-value of test : 0.05 +ChiSquare statistic : 5093.58 +p-value of test : 0.17 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 419.53 -p-value of test : 0.07 +ChiSquare statistic : 386.47 +p-value of test : 0.37 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 184.58 -p-value of test : 0.78 +ChiSquare statistic : 193.29 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:01:05.22 +CPU time used : 00:01:13.91 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 15.58 -p-value of test : 0.21 +Chi2 statistic for size of jumps : 8.65 +p-value of test : 0.73 ----------------------------------------------- -Normal statistic for number of jumps : 0.42 -p-value of test : 0.34 +Normal statistic for number of jumps : -1.85 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:03:02.09 +CPU time used : 00:02:57.63 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 13.83 -p-value of test : 0.31 +Chi2 statistic for size of jumps : 21.53 +p-value of test : 0.04 ----------------------------------------------- -Normal statistic for number of jumps : -1.34 -p-value of test : 0.91 +Normal statistic for number of jumps : 1.29 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:03:02.83 +CPU time used : 00:02:57.95 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.25 -p-value of test : 0.23 +Kolmogorov-Smirnov+ statistic = D+ : 0.31 +p-value of test : 0.12 -Kolmogorov-Smirnov- statistic = D- : 0.041 -p-value of test : 0.94 +Kolmogorov-Smirnov- statistic = D- : 0.096 +p-value of test : 0.78 -Anderson-Darling statistic = A2 : 0.92 -p-value of test : 0.40 +Anderson-Darling statistic = A2 : 1.30 +p-value of test : 0.23 Tests on the sum of all N observations -Standardized normal statistic : -1.26 -p-value of test : 0.90 +Standardized normal statistic : -0.89 +p-value of test : 0.81 -Sample variance : 1.14 -p-value of test : 0.33 +Sample variance : 1.52 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:01:08.31 +CPU time used : 00:01:12.56 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 0.16 +Kolmogorov-Smirnov+ statistic = D+ : 0.085 +p-value of test : 0.82 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.67 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.40 -Anderson-Darling statistic = A2 : 0.78 -p-value of test : 0.49 +Anderson-Darling statistic = A2 : 0.40 +p-value of test : 0.85 Tests on the sum of all N observations -Standardized normal statistic : -0.85 -p-value of test : 0.80 +Standardized normal statistic : 0.22 +p-value of test : 0.41 -Sample variance : 1.15 -p-value of test : 0.32 +Sample variance : 0.87 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:01:26.54 +CPU time used : 00:01:19.31 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.011 -p-value of test : 0.37 +Kolmogorov-Smirnov+ statistic = D+ : 7.46e-3 +p-value of test : 0.63 -Kolmogorov-Smirnov- statistic = D- : 5.63e-3 -p-value of test : 0.77 +Kolmogorov-Smirnov- statistic = D- : 0.014 +p-value of test : 0.20 -Anderson-Darling statistic = A2 : 0.48 -p-value of test : 0.77 +Anderson-Darling statistic = A2 : 0.60 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:00:57.63 +CPU time used : 00:00:59.09 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 5.00e-3 -p-value of test : 0.81 +Kolmogorov-Smirnov+ statistic = D+ : 5.28e-3 +p-value of test : 0.79 -Kolmogorov-Smirnov- statistic = D- : 9.84e-3 -p-value of test : 0.45 +Kolmogorov-Smirnov- statistic = D- : 0.015 +p-value of test : 0.15 -Anderson-Darling statistic = A2 : 0.46 -p-value of test : 0.79 +Anderson-Darling statistic = A2 : 0.50 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:00:56.38 +CPU time used : 00:00:57.81 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 2.01 -p-value of test : 0.98 +Chi-square statistic : 7.77 +p-value of test : 0.46 ----------------------------------------------- -Global longest run of 1 : 34.00 -p-value of test : 0.25 +Global longest run of 1 : 33.00 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:01:53.65 +CPU time used : 00:02:04.16 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 8.82 -p-value of test : 0.36 +Chi-square statistic : 11.11 +p-value of test : 0.20 ----------------------------------------------- -Global longest run of 1 : 36.00 -p-value of test : 0.07 +Global longest run of 1 : 34.00 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:01:55.43 +CPU time used : 00:02:07.04 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.18 -p-value of test : 0.48 +Kolmogorov-Smirnov+ statistic = D+ : 6.28e-3 +p-value of test : 0.9934 -Kolmogorov-Smirnov- statistic = D- : 0.24 -p-value of test : 0.26 +Kolmogorov-Smirnov- statistic = D- : 0.28 +p-value of test : 0.17 -Anderson-Darling statistic = A2 : 1.22 -p-value of test : 0.26 +Anderson-Darling statistic = A2 : 1.72 +p-value of test : 0.13 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 224.98 -p-value of test : 0.11 +Chi-square statistic : 238.34 +p-value of test : 0.03 ----------------------------------------------- -CPU time used : 00:03:29.13 +CPU time used : 00:03:38.29 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.51 +Kolmogorov-Smirnov+ statistic = D+ : 0.093 +p-value of test : 0.79 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.48 +Kolmogorov-Smirnov- statistic = D- : 0.33 +p-value of test : 0.09 -Anderson-Darling statistic = A2 : 0.47 -p-value of test : 0.78 +Anderson-Darling statistic = A2 : 1.67 +p-value of test : 0.14 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 206.48 -p-value of test : 0.36 +Chi-square statistic : 230.72 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:03:31.34 +CPU time used : 00:03:42.15 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.72 +Kolmogorov-Smirnov+ statistic = D+ : 0.34 +p-value of test : 0.07 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.40 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.74 -Anderson-Darling statistic = A2 : 0.54 -p-value of test : 0.70 +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 : 10000 -Chi-square statistic :10088.61 -p-value of test : 0.26 +Chi-square statistic : 9898.72 +p-value of test : 0.76 ----------------------------------------------- -CPU time used : 00:01:19.25 +CPU time used : 00:01:20.25 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.34 +Kolmogorov-Smirnov+ statistic = D+ : 0.24 +p-value of test : 0.28 -Kolmogorov-Smirnov- statistic = D- : 0.024 -p-value of test : 0.97 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.68 -Anderson-Darling statistic = A2 : 0.77 -p-value of test : 0.50 +Anderson-Darling statistic = A2 : 0.47 +p-value of test : 0.78 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9849.54 -p-value of test : 0.86 +Chi-square statistic : 9959.77 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:01:22.74 +CPU time used : 00:01:23.16 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.14 -p-value of test : 0.56 +Normal statistic : 0.19 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:01:32.11 +CPU time used : 00:01:35.81 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -1.13 -p-value of test : 0.87 +Normal statistic : 7.90e-3 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:01:28.58 +CPU time used : 00:01:30.45 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.57 -p-value of test : 0.29 +Normal statistic : -1.52 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:05:52.00 +CPU time used : 00:05:53.61 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.061 -p-value of test : 0.89 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.55 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.39 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.71 -Anderson-Darling statistic = A2 : 0.72 -p-value of test : 0.53 +Anderson-Darling statistic = A2 : 0.30 +p-value of test : 0.94 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 5003.34 -p-value of test : 0.13 +Chi-square statistic : 4866.93 +p-value of test : 0.59 ----------------------------------------------- -CPU time used : 00:02:37.04 +CPU time used : 00:02:40.02 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.33 +Kolmogorov-Smirnov+ statistic = D+ : 0.32 +p-value of test : 0.10 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.73 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.51 -Anderson-Darling statistic = A2 : 0.52 -p-value of test : 0.73 +Anderson-Darling statistic = A2 : 1.48 +p-value of test : 0.18 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4841.09 -p-value of test : 0.69 +Chi-square statistic : 4849.05 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:02:41.47 +CPU time used : 00:02:44.99 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 : 4217.28 -p-value of test : 0.13 +Chi-square statistic : 4091.51 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:01:55.54 +CPU time used : 00:01:57.49 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 : 4003.92 -p-value of test : 0.89 +Chi-square statistic : 4048.91 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:01:58.50 +CPU time used : 00:02:01.24 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 :11464.48 -p-value of test : 0.9910 +Chi-square statistic :11632.12 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:02:05.66 +CPU time used : 00:02:08.09 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 :11661.62 -p-value of t
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