http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/src/site/resources/txt/userguide/stress/tu/run_2/tu_1 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_2/tu_1 b/src/site/resources/txt/userguide/stress/tu/run_2/tu_1 index d6c6991..a47b98e 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_2/tu_1 +++ b/src/site/resources/txt/userguide/stress/tu/run_2/tu_1 @@ -1,12 +1,12 @@ # -# RNG: org.apache.commons.math4.rng.internal.source32.JDKRandom +# RNG: org.apache.commons.rng.internal.source32.JDKRandom # # Java: 1.8.0_66 # Runtime: 1.8.0_66-b17 # JVM: Java HotSpot(TM) 64-Bit Server VM 25.66-b17 # OS: Linux 3.16.0-4-amd64 amd64 # -# Analyzer: ../stdin2testu01 BigCrush +# Analyzer: ./stdin2testu01 BigCrush # xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting BigCrush @@ -46,7 +46,7 @@ p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:13.19 +CPU time used : 00:02:29.12 Generator state: N/A @@ -81,11 +81,11 @@ Test Results for Delta = 1.0000 Number of degrees of freedom : 16711680 Value of the statistic : 1.67e+7 -p-value of test : 0.9969 +p-value of test : 0.99 ----------------------------------------------- -CPU time used : 00:02:19.32 +CPU time used : 00:02:36.76 Generator state: N/A @@ -137,7 +137,7 @@ Total number of cells containing j balls j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:40.80 +CPU time used : 00:04:47.19 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 : 1306 -p-value of test : 0.94 +Observed number of collisions : 1338 +p-value of test : 0.76 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334426 - j = 1 : 599997388 - j = 2 : 1306 + j = 0 : 131940795334458 + j = 1 : 599997324 + j = 2 : 1338 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:37.88 +CPU time used : 00:06:33.05 Generator state: N/A @@ -241,7 +241,7 @@ Total number of cells containing j balls j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:31.99 +CPU time used : 00:10:31.76 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 : 1369 -p-value of test : 0.45 +Observed number of collisions : 1344 +p-value of test : 0.70 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334489 - j = 1 : 599997262 - j = 2 : 1369 + j = 0 : 131940795334464 + j = 1 : 599997312 + j = 2 : 1344 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:19.19 +CPU time used : 00:09:29.53 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 : 348341582 +Observed number of collisions : 348341581 p-value of test : eps ***** ----------------------------- Total number of cells containing j balls - j = 0 : 131941143674702 - j = 1 : 178 - j = 2 : 154974898 - j = 3 : 96683342 + j = 0 : 131941143674701 + j = 1 : 179 + j = 2 : 154974899 + j = 3 : 96683341 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:03:53.35 +CPU time used : 00:07:03.63 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 : 1344 -p-value of test : 0.70 +Observed number of collisions : 1292 +p-value of test : 0.97 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334464 - j = 1 : 599997312 - j = 2 : 1344 + j = 0 : 131940795334412 + j = 1 : 599997416 + j = 2 : 1292 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:00.42 +CPU time used : 00:09:36.94 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 : 348341375 +Observed number of collisions : 348341376 p-value of test : eps ***** ----------------------------- Total number of cells containing j balls - j = 0 : 131941143674495 - j = 1 : 385 - j = 2 : 154975105 - j = 3 : 96683135 + j = 0 : 131941143674496 + j = 1 : 384 + j = 2 : 154975104 + j = 3 : 96683136 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:48.90 +CPU time used : 00:06:50.59 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 : 1275 -p-value of test : 0.9923 +Observed number of collisions : 1340 +p-value of test : 0.74 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334395 - j = 1 : 599997450 - j = 2 : 1275 + j = 0 : 131940795334460 + j = 1 : 599997320 + j = 2 : 1340 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:12.96 +CPU time used : 00:09:06.81 Generator state: N/A @@ -553,7 +553,7 @@ Total number of cells containing j balls j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:45.15 +CPU time used : 00:06:53.89 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 : 1325 -p-value of test : 0.85 +Observed number of collisions : 1289 +p-value of test : 0.98 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334445 - j = 1 : 599997350 - j = 2 : 1325 + j = 0 : 131940795334409 + j = 1 : 599997422 + j = 2 : 1289 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:48.17 +CPU time used : 00:09:36.86 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 11931429 +Total observed number : 11933447 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:05:15.17 +CPU time used : 00:05:27.48 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 201419736 +Total observed number : 201420318 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:17.52 +CPU time used : 00:02:28.85 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 4285944 +Total observed number : 4285652 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:04:00.26 +CPU time used : 00:04:12.59 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 396240529 +Total observed number : 396235047 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:36.35 +CPU time used : 00:02:48.21 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 313506243 +Total observed number : 313504413 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:03:00.43 +CPU time used : 00:03:13.07 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 85305678 +Total observed number : 85287662 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:04:29.93 +CPU time used : 00:05:19.86 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 743608 +Total observed number : 742869 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:04:05.72 +CPU time used : 00:05:21.50 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 595343120 +Total observed number : 595354980 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:03:51.89 +CPU time used : 00:05:33.80 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 5161744 +Total observed number : 5165011 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:05:14.84 +CPU time used : 00:07:35.31 Generator state: N/A @@ -898,11 +898,11 @@ p-value of test : eps ***** 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) : 659.39 -p-value of test :1.6e-288 ***** +A2 test on the values of A2 (m-NP) : 669.69 +p-value of test :5.4e-293 ***** -Test on the Nm values of W_{n,i}(mNP1): 685.89 -p-value of test :4.9e-300 ***** +Test on the Nm values of W_{n,i}(mNP1): 704.98 +p-value of test : eps ***** Test on the jump times of Y (superposition of Yn): @@ -912,7 +912,7 @@ Number of jumps of Y : 0 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:03:19.69 +CPU time used : 00:03:51.39 Generator state: N/A @@ -947,7 +947,7 @@ A2 test based on the spacings between the A2 test on the values of A2 (m-NP) : 714.74 p-value of test : eps ***** -Test on the Nm values of W_{n,i}(mNP1):15894.16 +Test on the Nm values of W_{n,i}(mNP1):15288.17 p-value of test : eps ***** Test on the jump times of Y @@ -958,7 +958,7 @@ Number of jumps of Y : 0 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:14:47.97 +CPU time used : 00:22:12.87 Generator state: N/A @@ -993,7 +993,7 @@ A2 test based on the spacings between the A2 test on the values of A2 (m-NP) : 357.37 p-value of test :3.2e-157 ***** -Test on the Nm values of W_{n,i}(mNP1): 7905.81 +Test on the Nm values of W_{n,i}(mNP1): 8140.09 p-value of test : eps ***** Test on the jump times of Y @@ -1004,7 +1004,7 @@ Number of jumps of Y : 0 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:26:35.95 +CPU time used : 00:35:21.71 Generator state: N/A @@ -1062,7 +1062,7 @@ Stat. AD after spacings (mNP2-S) : 8.93e+6 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:03:03.89 +CPU time used : 00:04:05.45 Generator state: N/A @@ -1082,11 +1082,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 5673.94 +Chi-square statistic :16636.58 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:17.19 +CPU time used : 00:01:40.81 Generator state: N/A @@ -1106,11 +1106,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 9.44 -p-value of test : 0.22 +Chi-square statistic : 6.80 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:01:27.62 +CPU time used : 00:01:58.93 Generator state: N/A @@ -1130,11 +1130,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic :87575.57 +Chi-square statistic : 2.00e+5 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:15.18 +CPU time used : 00:01:39.43 Generator state: N/A @@ -1154,11 +1154,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 21.65 -p-value of test : 0.25 +Chi-square statistic : 20.16 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:01:28.40 +CPU time used : 00:01:51.21 Generator state: N/A @@ -1178,11 +1178,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 2.45e+5 +Chi-square statistic : 2.23e+5 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:36.62 +CPU time used : 00:02:08.86 Generator state: N/A @@ -1202,11 +1202,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 3203.42 +Chi-square statistic : 4068.05 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:53.11 +CPU time used : 00:02:26.47 Generator state: N/A @@ -1226,11 +1226,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 45.90 -p-value of test : 0.78 +Chi-square statistic : 53.80 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:01:48.29 +CPU time used : 00:02:28.04 Generator state: N/A @@ -1250,11 +1250,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 50.41 -p-value of test : 0.61 +Chi-square statistic : 48.49 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:49.97 +CPU time used : 00:02:28.28 Generator state: N/A @@ -1274,11 +1274,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 2.07e+5 +Chi-square statistic : 2.01e+5 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:05.70 +CPU time used : 00:02:41.48 Generator state: N/A @@ -1298,11 +1298,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 410.41 -p-value of test : 0.79 +Chi-square statistic : 427.66 +p-value of test : 0.58 ----------------------------------------------- -CPU time used : 00:02:52.53 +CPU time used : 00:03:57.03 Generator state: N/A @@ -1322,11 +1322,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1.90e+6 +Chi-square statistic : 2.11e+6 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:03:04.25 +CPU time used : 00:04:05.31 Generator state: N/A @@ -1346,11 +1346,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7006.74 -p-value of test : 0.63 +Chi-square statistic : 7008.93 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:02:57.53 +CPU time used : 00:04:09.12 Generator state: N/A @@ -1370,22 +1370,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.39 -p-value of test : 0.16 +Kolmogorov-Smirnov+ statistic = D+ : 3.81e-7 +p-value of test : 1 - 3.8e-7 ***** -Kolmogorov-Smirnov- statistic = D- : 0.48 -p-value of test : 0.07 +Kolmogorov-Smirnov- statistic = D- : 1.00 +p-value of test : eps ***** -Anderson-Darling statistic = A2 : 1.56 -p-value of test : 0.16 +Anderson-Darling statistic = A2 : 67.10 +p-value of test : 8.6e-31 ***** Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 29.53 -p-value of test : 0.49 +Chi-square statistic : 199.05 +p-value of test : 7.4e-27 ***** ----------------------------------------------- -CPU time used : 00:01:42.21 +CPU time used : 00:02:03.86 Generator state: N/A @@ -1405,22 +1405,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.098 -p-value of test : 0.77 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.52 -Kolmogorov-Smirnov- statistic = D- : 0.25 -p-value of test : 0.25 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.55 -Anderson-Darling statistic = A2 : 1.19 -p-value of test : 0.27 +Anderson-Darling statistic = A2 : 0.39 +p-value of test : 0.86 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 71.83 -p-value of test : 0.14 +Chi-square statistic : 54.44 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:04:05.10 +CPU time used : 00:05:07.29 Generator state: N/A @@ -1454,12 +1454,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5 -Value of the statistic : 289.84 +Value of the statistic : 312.02 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:10.47 +CPU time used : 00:01:34.56 Generator state: N/A @@ -1493,12 +1493,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 119 -Value of the statistic :24864.07 +Value of the statistic :29433.14 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:05.44 +CPU time used : 00:02:37.09 Generator state: N/A @@ -1532,12 +1532,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5039 -Value of the statistic : 1.85e+6 +Value of the statistic : 1.81e+6 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:29.71 +CPU time used : 00:01:56.87 Generator state: N/A @@ -1571,12 +1571,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 3628799 -Value of the statistic : 5.80e+6 +Value of the statistic : 5.82e+6 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:03:08.15 +CPU time used : 00:03:54.95 Generator state: N/A @@ -1611,22 +1611,22 @@ 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 : 305495062 +Observed number of collisions : 305345181 p-value of test : eps ***** ----------------------------- Total number of cells containing j balls - j = 0 : 1743471319062 - j = 1 : 9455393 - j = 2 : 13752518 - j = 3 : 11160341 - j = 4 : 14999848 - j = 5 : 35033422 + j = 0 : 1743471169181 + j = 1 : 9471723 + j = 2 : 13914884 + j = 3 : 11246083 + j = 4 : 14932209 + j = 5 : 35018444 ----------------------------------------------- -CPU time used : 00:03:47.92 +CPU time used : 00:04:56.35 Generator state: N/A @@ -1661,22 +1661,22 @@ 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 : 34439 +Observed number of collisions : 34582 p-value of test : 1 - eps1 ***** ----------------------------- Total number of cells containing j balls - j = 0 : 1743165858439 - j = 1 : 399931123 - j = 2 : 34437 - j = 3 : 1 + j = 0 : 1743165858582 + j = 1 : 399930836 + j = 2 : 34582 + j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:24.54 +CPU time used : 00:05:53.25 Generator state: N/A @@ -1700,36 +1700,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.37 -p-value of test : 7.8e-6 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.073 +p-value of test : 0.62 -Kolmogorov-Smirnov- statistic = D- : 1.76e-3 -p-value of test : 0.9981 +Kolmogorov-Smirnov- statistic = D- : 0.081 +p-value of test : 0.56 -Anderson-Darling statistic = A2 : 12.40 -p-value of test : 1.1e-6 ***** +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 : 3999960 -Chi-square statistic : 3.99e+6 -p-value of test : 1 - 1.4e-6 ***** +Chi-square statistic : 4.00e+6 +p-value of test : 0.51 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 6.04e-4 -p-value of test : 0.9994 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.033 +p-value of test : 0.90 -Kolmogorov-Smirnov- statistic = D- : 0.91 -p-value of test : 2.6e-42 ***** +Kolmogorov-Smirnov- statistic = D- : 0.80 +p-value of test : 1.3e-28 ***** -Anderson-Darling statistic = A2 : 114.39 -p-value of test : 1.9e-51 ***** +Anderson-Darling statistic = A2 : 55.60 +p-value of test : 9.3e-26 ***** ----------------------------------------------- -CPU time used : 00:03:11.70 +CPU time used : 00:04:06.17 Generator state: N/A @@ -1753,36 +1753,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 6.78e-3 -p-value of test : 0.9917 +Kolmogorov-Smirnov+ statistic = D+ : 3.88e-4 +p-value of test : 0.9996 ***** -Kolmogorov-Smirnov- statistic = D- : 0.49 -p-value of test : 1.6e-7 ***** +Kolmogorov-Smirnov- statistic = D- : 0.59 +p-value of test : 1.3e-10 ***** -Anderson-Darling statistic = A2 : 14.63 -p-value of test : 1.1e-7 ***** +Anderson-Darling statistic = A2 : 27.03 +p-value of test : 3.4e-13 ***** Test on the sum of all N observations Number of degrees of freedom : 2999970 -Chi-square statistic : 3.01e+6 -p-value of test : 8.7e-8 ***** +Chi-square statistic : 3.02e+6 +p-value of test : 2.7e-14 ***** ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.80 -p-value of test : 3.3e-21 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.93 +p-value of test : 6.9e-35 ***** -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.28 +Kolmogorov-Smirnov- statistic = D- : 0.045 +p-value of test : 0.86 -Anderson-Darling statistic = A2 : 25.49 -p-value of test : 1.6e-12 ***** +Anderson-Darling statistic = A2 : 55.71 +p-value of test : 8.4e-26 ***** ----------------------------------------------- -CPU time used : 00:03:02.73 +CPU time used : 00:04:00.42 Generator state: N/A @@ -1806,36 +1806,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.27 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.46 -Kolmogorov-Smirnov- statistic = D- : 0.084 -p-value of test : 0.72 +Kolmogorov-Smirnov- statistic = D- : 0.090 +p-value of test : 0.68 -Anderson-Darling statistic = A2 : 0.59 -p-value of test : 0.65 +Anderson-Darling statistic = A2 : 0.47 +p-value of test : 0.77 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.71 +p-value of test : 0.60 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.62 -p-value of test : 2.4e-8 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.39 +p-value of test : 1.7e-3 -Kolmogorov-Smirnov- statistic = D- : 0.25 -p-value of test : 0.06 +Kolmogorov-Smirnov- statistic = D- : 0.46 +p-value of test : 9.4e-5 ***** -Anderson-Darling statistic = A2 : 8.89 -p-value of test : 4.7e-5 ***** +Anderson-Darling statistic = A2 : 5.96 +p-value of test : 1.1e-3 ----------------------------------------------- -CPU time used : 00:02:22.03 +CPU time used : 00:03:08.30 Generator state: N/A @@ -1859,36 +1859,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 1.33e-3 -p-value of test : 0.9986 +Kolmogorov-Smirnov+ statistic = D+ : 1.14e-3 +p-value of test : 0.9988 -Kolmogorov-Smirnov- statistic = D- : 0.51 -p-value of test : 1.2e-5 ***** +Kolmogorov-Smirnov- statistic = D- : 0.44 +p-value of test : 2.2e-4 ***** -Anderson-Darling statistic = A2 : 13.91 -p-value of test : 2.4e-7 ***** +Anderson-Darling statistic = A2 : 12.78 +p-value of test : 7.7e-7 ***** Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.01e+6 -p-value of test : 3.7e-8 ***** +p-value of test : 9.2e-8 ***** ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 1.00 -p-value of test :1.4e-112 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.99 +p-value of test : 8.2e-42 ***** -Kolmogorov-Smirnov- statistic = D- : 3.78e-7 -p-value of test : 1 - 3.8e-7 ***** +Kolmogorov-Smirnov- statistic = D- : 4.59e-3 +p-value of test : 0.9950 -Anderson-Darling statistic = A2 : 256.94 -p-value of test :1.6e-113 ***** +Anderson-Darling statistic = A2 : 77.04 +p-value of test : 3.9e-35 ***** ----------------------------------------------- -CPU time used : 00:02:43.14 +CPU time used : 00:03:39.69 Generator state: N/A @@ -1908,17 +1908,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.24 -p-value of test : 9.8e-3 +Kolmogorov-Smirnov+ statistic = D+ : 0.47 +p-value of test : 8.2e-9 ***** -Kolmogorov-Smirnov- statistic = D- : 0.61 -p-value of test : 6.7e-15 ***** +Kolmogorov-Smirnov- statistic = D- : 0.38 +p-value of test : 4.8e-6 ***** -Anderson-Darling statistic = A2 : 17.86 -p-value of test : 4.0e-9 ***** +Anderson-Darling statistic = A2 : 12.68 +p-value of test : 8.5e-7 ***** ----------------------------------------------- -CPU time used : 00:02:21.61 +CPU time used : 00:03:08.46 Generator state: N/A @@ -1939,16 +1939,16 @@ svaria_SampleProd test: ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.00 -p-value of test : 3.3e-74 ***** +p-value of test :3.0e-105 ***** -Kolmogorov-Smirnov- statistic = D- : 1.17e-4 -p-value of test : 0.9999 ***** +Kolmogorov-Smirnov- statistic = D- : 3.16e-6 +p-value of test : 1 - 3.2e-6 ***** -Anderson-Darling statistic = A2 : 153.69 -p-value of test : 1.4e-68 ***** +Anderson-Darling statistic = A2 : 225.43 +p-value of test :8.2e-100 ***** ----------------------------------------------- -CPU time used : 00:01:43.76 +CPU time used : 00:02:13.02 Generator state: N/A @@ -1968,17 +1968,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.98 -p-value of test : 2.7e-33 ***** +Kolmogorov-Smirnov+ statistic = D+ : 1.00 +p-value of test : 4.4e-47 ***** -Kolmogorov-Smirnov- statistic = D- : 0.012 -p-value of test : 0.98 +Kolmogorov-Smirnov- statistic = D- : 1.99e-3 +p-value of test : 0.9979 -Anderson-Darling statistic = A2 : 62.61 -p-value of test : 7.9e-29 ***** +Anderson-Darling statistic = A2 : 92.40 +p-value of test : 7.6e-42 ***** ----------------------------------------------- -CPU time used : 00:02:14.61 +CPU time used : 00:02:50.97 Generator state: N/A @@ -1998,17 +1998,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 2.79e-4 -p-value of test : 0.04 +Kolmogorov-Smirnov+ statistic = D+ : 3.80e-4 +p-value of test : 3.1e-3 -Kolmogorov-Smirnov- statistic = D- : 2.29e-4 -p-value of test : 0.12 +Kolmogorov-Smirnov- statistic = D- : 3.95e-4 +p-value of test : 1.9e-3 -Anderson-Darling statistic = A2 : 1.80 -p-value of test : 0.12 +Anderson-Darling statistic = A2 : 5.89 +p-value of test : 1.1e-3 ----------------------------------------------- -CPU time used : 00:00:33.43 +CPU time used : 00:00:41.68 Generator state: N/A @@ -2028,17 +2028,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.71e-4 -p-value of test : 0.31 +Kolmogorov-Smirnov+ statistic = D+ : 1.32e-4 +p-value of test : 0.50 -Kolmogorov-Smirnov- statistic = D- : 1.09e-4 -p-value of test : 0.62 +Kolmogorov-Smirnov- statistic = D- : 1.27e-4 +p-value of test : 0.52 -Anderson-Darling statistic = A2 : 0.57 -p-value of test : 0.68 +Anderson-Darling statistic = A2 : 0.44 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:00:33.42 +CPU time used : 00:00:44.52 Generator state: N/A @@ -2057,11 +2057,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.13 -p-value of test : 0.55 +Normal statistic : 2.02e-3 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:00:33.98 +CPU time used : 00:00:44.36 Generator state: N/A @@ -2080,11 +2080,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.050 -p-value of test : 0.48 +Normal statistic : -0.033 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:00:31.94 +CPU time used : 00:00:44.70 Generator state: N/A @@ -2109,11 +2109,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 87.22 +Normal statistic : 116.36 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:57.69 +CPU time used : 00:02:33.72 Generator state: N/A @@ -2138,11 +2138,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 0.28 -p-value of test : 0.39 +Normal statistic : 1.57 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:01:55.94 +CPU time used : 00:02:37.65 Generator state: N/A @@ -2162,11 +2162,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic :32751.90 +Chi-square statistic :42442.66 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:16.72 +CPU time used : 00:01:43.25 Generator state: N/A @@ -2186,11 +2186,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 74.73 -p-value of test : 0.24 +Chi-square statistic : 65.59 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:01:31.61 +CPU time used : 00:02:13.61 Generator state: N/A @@ -2210,11 +2210,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 58.90 -p-value of test : 0.75 +Chi-square statistic : 77.49 +p-value of test : 0.18 ----------------------------------------------- -CPU time used : 00:01:31.54 +CPU time used : 00:02:13.15 Generator state: N/A @@ -2234,11 +2234,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic :15620.09 +Chi-square statistic :15443.26 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:19.12 +CPU time used : 00:01:43.04 Generator state: N/A @@ -2258,11 +2258,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 229.60 +Chi-square statistic : 257.24 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:29.88 +CPU time used : 00:02:12.18 Generator state: N/A @@ -2282,11 +2282,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 35.57 -p-value of test : 0.54 +Chi-square statistic : 43.45 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:01:38.54 +CPU time used : 00:02:12.68 Generator state: N/A @@ -2306,11 +2306,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic :29102.31 +Chi-square statistic :13206.45 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:38.25 +CPU time used : 00:03:25.83 Generator state: N/A @@ -2330,22 +2330,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 8.43e-3 -p-value of test : 0.9909 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.66 -Kolmogorov-Smirnov- statistic = D- : 0.46 -p-value of test : 0.01 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.41 -Anderson-Darling statistic = A2 : 5.28 -p-value of test : 2.3e-3 +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 : 72.38 -p-value of test : 1.3e-3 +Chi-square statistic : 41.47 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:01:22.67 +CPU time used : 00:01:52.50 Generator state: N/A @@ -2365,22 +2365,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.37 -p-value of test : 0.05 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.60 -Kolmogorov-Smirnov- statistic = D- : 9.67e-3 -p-value of test : 0.99 +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.32 -Anderson-Darling statistic = A2 : 1.48 -p-value of test : 0.18 +Anderson-Darling statistic = A2 : 0.34 +p-value of test : 0.90 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 27.48 -p-value of test : 0.93 +Chi-square statistic : 40.34 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:01:23.10 +CPU time used : 00:01:51.99 Generator state: N/A @@ -2400,11 +2400,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 0.93 -p-value of test : 0.82 +Chi-square statistic : 3.35 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:02:18.85 +CPU time used : 00:03:08.88 Generator state: N/A @@ -2424,11 +2424,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 1.22 -p-value of test : 0.75 +Chi-square statistic : 0.11 +p-value of test : 0.9900 ----------------------------------------------- -CPU time used : 00:02:19.07 +CPU time used : 00:03:07.72 Generator state: N/A @@ -2448,11 +2448,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.59 -p-value of test : 0.74 +Chi-square statistic : 1.18 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:01:32.95 +CPU time used : 00:02:10.88 Generator state: N/A @@ -2472,11 +2472,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 3.07 -p-value of test : 0.22 +Chi-square statistic : 3.92 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:01:17.52 +CPU time used : 00:01:47.11 Generator state: N/A @@ -2496,22 +2496,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.25 -p-value of test : 0.26 +Kolmogorov-Smirnov+ statistic = D+ : 0.31 +p-value of test : 0.11 -Kolmogorov-Smirnov- statistic = D- : 0.33 -p-value of test : 0.09 +Kolmogorov-Smirnov- statistic = D- : 0.091 +p-value of test : 0.80 -Anderson-Darling statistic = A2 : 2.22 -p-value of test : 0.07 +Anderson-Darling statistic = A2 : 1.35 +p-value of test : 0.22 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 142.63 -p-value of test : 0.21 +Chi-square statistic : 115.32 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:00:52.62 +CPU time used : 00:01:16.38 Generator state: N/A @@ -2532,24 +2532,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.66 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.55 -Kolmogorov-Smirnov- statistic = D- : 0.36 -p-value of test : 0.06 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.60 -Anderson-Darling statistic = A2 : 1.51 -p-value of test : 0.17 +Anderson-Darling statistic = A2 : 0.19 +p-value of test : 0.9917 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17586.45 -p-value of test : 0.20 +Chi-square statistic :17431.65 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:01:53.20 +CPU time used : 00:02:03.34 Generator state: N/A @@ -2572,7 +2572,7 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 36 -ChiSquare statistic : 731.75 +ChiSquare statistic : 1036.33 p-value of test : eps ***** @@ -2580,7 +2580,7 @@ p-value of test : eps ***** Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 613.67 +ChiSquare statistic : 495.63 p-value of test : eps ***** @@ -2588,7 +2588,7 @@ p-value of test : eps ***** Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 470.86 +ChiSquare statistic : 301.69 p-value of test : eps ***** @@ -2596,7 +2596,7 @@ p-value of test : eps ***** Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 497.14 +ChiSquare statistic : 569.87 p-value of test : eps ***** @@ -2604,12 +2604,12 @@ p-value of test : eps ***** Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 241.78 +ChiSquare statistic : 426.70 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:00:45.62 +CPU time used : 00:01:01.50 Generator state: N/A @@ -2632,44 +2632,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 36 -ChiSquare statistic : 41.61 -p-value of test : 0.24 +ChiSquare statistic : 39.46 +p-value of test : 0.32 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 46.65 -p-value of test : 0.09 +ChiSquare statistic : 22.32 +p-value of test : 0.95 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 40.10 -p-value of test : 0.03 +ChiSquare statistic : 12.90 +p-value of test : 0.98 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 20.87 -p-value of test : 0.65 +ChiSquare statistic : 16.82 +p-value of test : 0.86 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 14.21 -p-value of test : 0.65 +ChiSquare statistic : 8.82 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:00:45.90 +CPU time used : 00:01:02.56 Generator state: N/A @@ -2692,44 +2692,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 146 -ChiSquare statistic : 176.68 -p-value of test : 0.04 +ChiSquare statistic : 212.90 +p-value of test : 2.5e-4 ***** ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 175.78 -p-value of test : 0.05 +ChiSquare statistic : 199.47 +p-value of test : 2.2e-3 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 518.47 -p-value of test : 0.27 +ChiSquare statistic : 503.49 +p-value of test : 0.45 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 146.81 -p-value of test : 0.25 +ChiSquare statistic : 165.55 +p-value of test : 0.04 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 68.73 -p-value of test : 0.65 +ChiSquare statistic : 102.70 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:00:56.43 +CPU time used : 00:01:18.34 Generator state: N/A @@ -2752,44 +2752,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 146 -ChiSquare statistic : 165.33 -p-value of test : 0.13 +ChiSquare statistic : 148.64 +p-value of test : 0.42 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 136.92 -p-value of test : 0.69 +ChiSquare statistic : 138.36 +p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 520.66 -p-value of test : 0.25 +ChiSquare statistic : 447.81 +p-value of test : 0.95 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 144.45 -p-value of test : 0.29 +ChiSquare statistic : 131.76 +p-value of test : 0.59 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 61.87 -p-value of test : 0.84 +ChiSquare statistic : 72.11 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:00:57.40 +CPU time used : 00:01:18.97 Generator state: N/A @@ -2812,44 +2812,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 384 -ChiSquare statistic : 338.25 -p-value of test : 0.96 +ChiSquare statistic : 428.71 +p-value of test : 0.06 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 372.87 -p-value of test : 0.65 +ChiSquare statistic : 394.97 +p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5019.31 -p-value of test : 0.42 +ChiSquare statistic : 4899.91 +p-value of test : 0.84 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 341.04 -p-value of test : 0.91 +ChiSquare statistic : 387.49 +p-value of test : 0.36 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 213.59 -p-value of test : 0.24 +ChiSquare statistic : 197.49 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:00:48.11 +CPU time used : 00:01:05.36 Generator state: N/A @@ -2872,44 +2872,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 384 -ChiSquare statistic : 376.11 -p-value of test : 0.60 +ChiSquare statistic : 366.32 +p-value of test : 0.73 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 432.22 -p-value of test : 0.04 +ChiSquare statistic : 373.37 +p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4846.93 -p-value of test : 0.94 +ChiSquare statistic : 4849.60 +p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 385.02 -p-value of test : 0.39 +ChiSquare statistic : 349.96 +p-value of test : 0.85 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 251.40 -p-value of test : 8.0e-3 +ChiSquare statistic : 206.66 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:00:47.31 +CPU time used : 00:01:06.09 Generator state: N/A @@ -2930,18 +2930,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 12.84 -p-value of test : 0.38 +Chi2 statistic for size of jumps : 21.36 +p-value of test : 0.05 ----------------------------------------------- -Normal statistic for number of jumps : 0.13 -p-value of test : 0.45 +Normal statistic for number of jumps : 1.66 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:02:23.76 +CPU time used : 00:03:04.52 Generator state: N/A @@ -2962,18 +2962,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 7.10 -p-value of test : 0.85 +Chi2 statistic for size of jumps : 20.04 +p-value of test : 0.07 ----------------------------------------------- -Normal statistic for number of jumps : 1.13 -p-value of test : 0.13 +Normal statistic for number of jumps : -2.42 +p-value of test : 0.9922 ----------------------------------------------- -CPU time used : 00:02:24.12 +CPU time used : 00:03:04.34 Generator state: N/A @@ -2993,24 +2993,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.62 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.67 -Kolmogorov-Smirnov- statistic = D- : 0.30 -p-value of test : 0.14 +Kolmogorov-Smirnov- statistic = D- : 0.29 +p-value of test : 0.15 -Anderson-Darling statistic = A2 : 1.08 -p-value of test : 0.31 +Anderson-Darling statistic = A2 : 0.73 +p-value of test : 0.53 Tests on the sum of all N observations -Standardized normal statistic : 0.96 -p-value of test : 0.17 +Standardized normal statistic : 0.59 +p-value of test : 0.28 -Sample variance : 0.64 -p-value of test : 0.76 +Sample variance : 0.89 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:00:55.85 +CPU time used : 00:01:01.02 Generator state: N/A @@ -3030,24 +3030,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.13 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 p-value of test : 0.64 -Kolmogorov-Smirnov- statistic = D- : 0.098 -p-value of test : 0.77 +Kolmogorov-Smirnov- statistic = D- : 0.35 +p-value of test : 0.07 -Anderson-Darling statistic = A2 : 0.31 -p-value of test : 0.93 +Anderson-Darling statistic = A2 : 1.24 +p-value of test : 0.25 Tests on the sum of all N observations -Standardized normal statistic : -0.29 -p-value of test : 0.62 +Standardized normal statistic : 0.96 +p-value of test : 0.17 -Sample variance : 1.24 -p-value of test : 0.27 +Sample variance : 0.52 +p-value of test : 0.86 ----------------------------------------------- -CPU time used : 00:00:58.03 +CPU time used : 00:01:14.40 Generator state: N/A @@ -3067,17 +3067,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.047 -p-value of test : 1.6e-8 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.033 +p-value of test : 1.2e-4 ***** -Kolmogorov-Smirnov- statistic = D- : 0.047 -p-value of test : 1.6e-8 ***** +Kolmogorov-Smirnov- statistic = D- : 0.019 +p-value of test : 0.05 -Anderson-Darling statistic = A2 : 31.93 -p-value of test : 2.4e-15 ***** +Anderson-Darling statistic = A2 : 7.31 +p-value of test : 2.5e-4 ***** ----------------------------------------------- -CPU time used : 00:00:47.22 +CPU time used : 00:00:57.29 Generator state: N/A @@ -3097,17 +3097,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 7.99e-3 -p-value of test : 0.59 +Kolmogorov-Smirnov+ statistic = D+ : 0.021 +p-value of test : 0.02 -Kolmogorov-Smirnov- statistic = D- : 6.03e-3 -p-value of test : 0.74 +Kolmogorov-Smirnov- statistic = D- : 8.32e-3 +p-value of test : 0.56 -Anderson-Darling statistic = A2 : 0.27 -p-value of test : 0.96 +Anderson-Darling statistic = A2 : 3.16 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:00:46.10 +CPU time used : 00:00:55.84 Generator state: N/A @@ -3127,17 +3127,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 1279.06 +Chi-square statistic : 4943.38 p-value of test : eps ***** ----------------------------------------------- -Global longest run of 1 : 23.00 +Global longest run of 1 : 26.00 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:01:37.70 +CPU time used : 00:01:56.29 Generator state: N/A @@ -3157,17 +3157,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 11.49 -p-value of test : 0.18 +Chi-square statistic : 9.00 +p-value of test : 0.34 ----------------------------------------------- -Global longest run of 1 : 30.00 -p-value of test : 0.90 +Global longest run of 1 : 34.00 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:01:40.26 +CPU time used : 00:01:59.79 Generator state: N/A @@ -3187,22 +3187,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.030 -p-value of test : 0.96 +Kolmogorov-Smirnov+ statistic = D+ : 0.93 +p-value of test : 3.5e-12 ***** -Kolmogorov-Smirnov- statistic = D- : 0.45 -p-value of test : 0.01 +Kolmogorov-Smirnov- statistic = D- : 4.89e-6 +p-value of test : 1 - 4.9e-6 ***** -Anderson-Darling statistic = A2 : 2.71 -p-value of test : 0.04 +Anderson-Darling statistic = A2 : 29.28 +p-value of test : 3.5e-14 ***** Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 242.04 -p-value of test : 0.02 +Chi-square statistic : 82.29 +p-value of test : 1 - 6.6e-15 ***** ----------------------------------------------- -CPU time used : 00:02:43.93 +CPU time used : 00:03:25.29 Generator state: N/A @@ -3222,22 +3222,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.35 +Kolmogorov-Smirnov+ statistic = D+ : 0.089 +p-value of test : 0.81 -Kolmogorov-Smirnov- statistic = D- : 0.048 -p-value of test : 0.93 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.52 -Anderson-Darling statistic = A2 : 0.51 -p-value of test : 0.73 +Anderson-Darling statistic = A2 : 0.26 +p-value of test : 0.96 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 183.66 -p-value of test : 0.79 +Chi-square statistic : 202.52 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:02:42.32 +CPU time used : 00:03:27.18 Generator state: N/A @@ -3257,22 +3257,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 2.77e-5 -p-value of test : 1 - 2.8e-5 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.75 +p-value of test : 1.2e-6 ***** -Kolmogorov-Smirnov- statistic = D- : 1.00 -p-value of test : 2.1e-27 ***** +Kolmogorov-Smirnov- statistic = D- : 0.045 +p-value of test : 0.93 -Anderson-Darling statistic = A2 : 68.96 -p-value of test : 1.3e-31 ***** +Anderson-Darling statistic = A2 : 9.65 +p-value of test : 2.2e-5 ***** Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :11688.07 -p-value of test : 4.7e-30 ***** +Chi-square statistic : 9480.84 +p-value of test : 1 - 9.5e-5 ***** ----------------------------------------------- -CPU time used : 00:01:06.09 +CPU time used : 00:01:17.59 Generator state: N/A @@ -3292,22 +3292,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.33 -p-value of test : 0.08 +Kolmogorov-Smirnov+ statistic = D+ : 0.22 +p-value of test : 0.34 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.73 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.58 -Anderson-Darling statistic = A2 : 1.62 -p-value of test : 0.15 +Anderson-Darling statistic = A2 : 0.87 +p-value of test : 0.43 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9810.51 -p-value of test : 0.91 +Chi-square statistic : 9973.75 +p-value of test : 0.57 ----------------------------------------------- -CPU time used : 00:01:09.82 +CPU time used : 00:01:21.04 Generator state: N/A @@ -3327,11 +3327,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.34 -p-value of test : 0.63 +Normal statistic : 0.57 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:01:19.90 +CPU time used : 00:01:35.84 Generator state: N/A @@ -3351,11 +3351,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.57 -p-value of test : 0.72 +Normal statistic : -1.57 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:01:16.04 +CPU time used : 00:01:29.61 Generator state: N/A @@ -3375,11 +3375,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.60 -p-value of test : 0.27 +Normal statistic : -0.34 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:04:56.87 +CPU time used : 00:05:52.83 Generator state: N/A @@ -3412,11 +3412,11 @@ p-value of test :3.2e-157 ***** Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic :73974.96 +Chi-square statistic :67871.34 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:05.52 +CPU time used : 00:02:37.95 Generator state: N/A @@ -3438,22 +3438,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.75 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.58 -Kolmogorov-Smirnov- statistic = D- : 0.24 -p-value of test : 0.28 +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.23 Anderson-Darling statistic = A2 : 0.50 -p-value of test : 0.75 +p-value of test : 0.74 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4939.11 -p-value of test : 0.31 +Chi-square statistic : 4884.33 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:02:08.04 +CPU time used : 00:02:43.18 Generator state: N/A @@ -3475,11 +3475,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 4117 -Chi-square statistic :35751.40 +Chi-square statistic :36289.45 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:35.72 +CPU time used : 00:01:56.18 Generator state: N/A @@ -3501,11 +3501,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 4117 -Chi-square statistic : 4380.13 -p-value of test : 2.2e-3 +Chi-square statistic : 4226.49 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:01:38.86 +CPU time used : 00:02:01.54 Generator state: N/A @@ -3527,11 +3527,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 -Chi-square statistic : 4.71e+5 +Chi-square statistic : 4.50e+5 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:46.43 +CPU time used : 00:02:08.70 Generator state: N/A @@ -3553,11 +3553,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 -Chi-square statistic :12037.64 -p-value of test : 0.08 +Chi-square statistic :11816.33 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:01:59.15 +CPU time used : 00:02:10.66 Generator state: N/A @@ -3579,20 +3579,20 @@ sstring_Run test: Total number of 1 runs: 2000000000 Number of degrees of freedom : 54 -Chi2 statistic for number of runs : 4347.89 +Chi2 statistic for number of runs : 8532.04 p-value of test : eps ***** ----------------------------------------------- -Total number of bits: 7999997259 +Total number of bits: 7999999029 -Normal statistic for number of bits : -0.022 -p-value of test : 0.51 +Normal statistic for number of bits : -7.68e-3 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:01:23.09 +CPU time used : 00:01:35.06 Generator state: N/A @@ -3614,20 +3614,20 @@ sstring_Run test: Total number of 1 runs: 2000000000 Number of degrees of freedom : 54 -Chi2 statistic for number of runs : 47.80 -p-value of test : 0.71 +Chi2 statistic for number of runs : 52.85 +p-value of test : 0.52 ----------------------------------------------- -Total number of bits: 7999968846 +Total number of bits: 7999964487 -Normal statistic for number of bits : -0.25 -p-value of test : 0.60 +Normal statistic for number of bits : -0.28 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:01:19.18 +CPU time used : 00:01:36.18 Generator state: N/A @@ -3647,24 +3647,24 @@ sstring_AutoCor test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.44 -p-value of test : 0.01 +Kolmogorov-Smirnov+ statistic = D+ : 0.47 +p-value of test : 8.0e-3 -Kolmogorov-Smirnov- statistic = D- : 0.44 +Kolmogorov-Smirnov- statistic = D- : 0.46 p-value of test : 0.01 -Anderson-Darling statistic = A2 : 3.09 -p-value of test : 0.03 +Anderson-Darling statistic = A2 : 3.34 +p-value of test : 0.02 Tests on the sum of all N observations -Standardized normal statistic : -0.061 -p-value of test : 0.52 +Standardized normal statistic : -0.035 +p-value of test : 0.51 -Sample variance : 9.51e-3 -p-value of test : 1 - 1.3e-8 ***** +Sample variance : 4.08e-3 +p-value of test : 1 - 2.9e-10 ***** ----------------------------------------------- -CPU time used : 00:02:42.59 +CPU time used : 00:03:24.13 Generator state: N/A @@ -3684,24 +3684,24 @@ sstring_AutoCor test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.27 -p-value of test : 0.20 +Kolmogorov-Smirnov+ statistic = D+ : 0.67 +p-value of test : 3.0e-5 ***** -Kolmogorov-Smirnov- statistic = D- : 0.71 -p-value of test : 7.8e-6 ***** +Kolmogorov-Smirnov- statistic = D- : 0.29 +p-value of test : 0.16 -Anderson-Darling statistic = A2 : 5.78 -p-value of test : 1.3e-3 +Anderson-Darling statistic = A2 : 5.06 +p-value of test : 2.8e-3 Tests on the sum of all N observations -Standardized normal statistic : 1.85 -p-value of test : 0.03 +Standardized normal statistic : -1.54 +p-value of test : 0.94 -Sample variance : 7.92e-4 -p-value of test : 1 - 1.8e-13 ***** +Sample variance : 1.42e-3 +p-value of test : 1 - 2.6e-12 ***** ----------------------------------------------- -CPU time used : 00:02:20.54 +CPU time used : 00:03:11.77 Generator state: N/A @@ -3721,24 +3721,24 @@ sstring_AutoCor test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.23 -p-value of test : 0.29 +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.39 -Kolmogorov-Smirnov- statistic = D- : 0.027 -p-value of test : 0.97 +Kolmogorov-Smirnov- statistic = D- : 0.059 +p-value of test : 0.90 -Anderson-Darling statistic = A2 : 0.74 -p-value of test : 0.52 +Anderson-Darling statistic = A2 : 0.55 +p-value of test : 0.69 Tests on the sum of all N observations -Standardized normal statistic : -1.11 -p-value of test : 0.87 +Standardized normal statistic : -0.84 +p-value of test : 0.80 -Sample variance : 0.82 -p-value of test : 0.60 +Sample variance : 1.11 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:02:32.13 +CPU time used : 00:03:27.70 Generator state: N/A @@ -3758,24 +3758,24 @@ sstring_AutoCor test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.26 -p-value of test : 0.21 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.76 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.67 +Kolmogorov-Smirnov- statistic = D- : 0.24 +p-value of test : 0.28 -Anderson-Darling statistic = A2 : 1.04 -p-value of test : 0.33 +Anderson-Darling statistic = A2 : 0.59 +p-value of test : 0.66 Tests on the sum of all N observations -Standardized normal statistic : -0.83 -p-value of test : 0.80 +Standardized normal statistic : 0.55 +p-value of test : 0.29 -Sample variance : 1.50 -p-value of test : 0.14 +Sample variance : 0.60 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:02:14.16 +CPU time used : 00:03:04.09 Generator state: N/A @@ -3788,7 +3788,7 @@ N/A Version: TestU01 1.2.3 Generator: stdin Number of statistics: 155 - Total CPU time: 04:55:08.24 + Total CPU time: 0
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