Return-Path: X-Original-To: archive-asf-public-internal@cust-asf2.ponee.io Delivered-To: archive-asf-public-internal@cust-asf2.ponee.io Received: from cust-asf.ponee.io (cust-asf.ponee.io [163.172.22.183]) by cust-asf2.ponee.io (Postfix) with ESMTP id 4C0F7200B71 for ; Wed, 17 Aug 2016 00:19:43 +0200 (CEST) Received: by cust-asf.ponee.io (Postfix) id 4AA69160AC4; Tue, 16 Aug 2016 22:19:43 +0000 (UTC) Delivered-To: archive-asf-public@cust-asf.ponee.io Received: from mail.apache.org (hermes.apache.org [140.211.11.3]) by cust-asf.ponee.io (Postfix) with SMTP id C2368160ABA for ; Wed, 17 Aug 2016 00:19:40 +0200 (CEST) Received: (qmail 12547 invoked by uid 500); 16 Aug 2016 22:19:35 -0000 Mailing-List: contact commits-help@commons.apache.org; run by ezmlm Precedence: bulk List-Help: List-Unsubscribe: List-Post: List-Id: Reply-To: dev@commons.apache.org Delivered-To: mailing list commits@commons.apache.org Received: (qmail 10628 invoked by uid 99); 16 Aug 2016 22:19:33 -0000 Received: from git1-us-west.apache.org (HELO git1-us-west.apache.org) (140.211.11.23) by apache.org (qpsmtpd/0.29) with ESMTP; Tue, 16 Aug 2016 22:19:33 +0000 Received: by git1-us-west.apache.org (ASF Mail Server at git1-us-west.apache.org, from userid 33) id 5E6DFEF799; Tue, 16 Aug 2016 22:19:33 +0000 (UTC) Content-Type: text/plain; charset="us-ascii" MIME-Version: 1.0 Content-Transfer-Encoding: 7bit From: erans@apache.org To: commits@commons.apache.org Date: Tue, 16 Aug 2016 22:19:50 -0000 Message-Id: <80ff1a88989945938694d6aa3046a55e@git.apache.org> In-Reply-To: References: X-Mailer: ASF-Git Admin Mailer Subject: [19/50] commons-rng git commit: Userguide. archived-at: Tue, 16 Aug 2016 22:19:43 -0000 http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/src/site/resources/txt/userguide/stress/tu/run_2/tu_4 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_2/tu_4 b/src/site/resources/txt/userguide/stress/tu/run_2/tu_4 index 7db11e7..9537fad 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_2/tu_4 +++ b/src/site/resources/txt/userguide/stress/tu/run_2/tu_4 @@ -1,12 +1,12 @@ # -# RNG: org.apache.commons.math4.rng.internal.source32.Well1024a +# RNG: org.apache.commons.rng.internal.source32.Well1024a # # 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 @@ -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 : 0.08 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:02:53.13 +CPU time used : 00:02:35.03 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 : 0.71 +p-value of test : 0.24 ----------------------------------------------- -CPU time used : 00:02:37.81 +CPU time used : 00:02:53.47 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 : 1332 -p-value of test : 0.80 +Observed number of collisions : 1335 +p-value of test : 0.78 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334452 - j = 1 : 599997336 - j = 2 : 1332 + j = 0 : 131940795334455 + j = 1 : 599997330 + j = 2 : 1335 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:29.16 +CPU time used : 00:04:51.14 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 : 1365 -p-value of test : 0.50 +Observed number of collisions : 1302 +p-value of test : 0.95 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334485 - j = 1 : 599997270 - j = 2 : 1365 + j = 0 : 131940795334422 + j = 1 : 599997396 + j = 2 : 1302 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:02.47 +CPU time used : 00:06:10.90 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 : 1324 -p-value of test : 0.86 +Observed number of collisions : 1338 +p-value of test : 0.76 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334444 - j = 1 : 599997352 - j = 2 : 1324 + j = 0 : 131940795334458 + j = 1 : 599997324 + j = 2 : 1338 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:39.06 +CPU time used : 00:09:51.25 Generator state: N/A @@ -279,21 +279,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1414 -p-value of test : 0.09 +Observed number of collisions : 1372 +p-value of test : 0.42 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334534 - j = 1 : 599997172 - j = 2 : 1414 + j = 0 : 131940795334492 + j = 1 : 599997256 + j = 2 : 1372 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:55.44 +CPU time used : 00:08:01.94 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 : 1333 -p-value of test : 0.80 +Observed number of collisions : 1335 +p-value of test : 0.78 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334453 - j = 1 : 599997334 - j = 2 : 1333 + j = 0 : 131940795334455 + j = 1 : 599997330 + j = 2 : 1335 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:11.32 +CPU time used : 00:09:54.84 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 : 1390 -p-value of test : 0.25 +Observed number of collisions : 1368 +p-value of test : 0.46 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334510 - j = 1 : 599997220 - j = 2 : 1390 + j = 0 : 131940795334488 + j = 1 : 599997264 + j = 2 : 1368 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:08.61 +CPU time used : 00:09:34.86 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 : 1395 -p-value of test : 0.21 +Observed number of collisions : 1403 +p-value of test : 0.15 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334515 - j = 1 : 599997210 - j = 2 : 1395 + j = 0 : 131940795334523 + j = 1 : 599997194 + j = 2 : 1403 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:44.88 +CPU time used : 00:08:52.48 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 : 1377 -p-value of test : 0.37 +Observed number of collisions : 1346 +p-value of test : 0.68 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334497 - j = 1 : 599997246 - j = 2 : 1377 + j = 0 : 131940795334466 + j = 1 : 599997308 + j = 2 : 1346 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:38.94 +CPU time used : 00:09:07.77 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 : 1340 -p-value of test : 0.74 +Observed number of collisions : 1473 +p-value of test : 1.9e-3 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334460 - j = 1 : 599997320 - j = 2 : 1340 + j = 0 : 131940795334593 + j = 1 : 599997054 + j = 2 : 1473 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:53.82 +CPU time used : 00:10:20.68 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 : 1365 -p-value of test : 0.50 +Observed number of collisions : 1318 +p-value of test : 0.89 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334485 - j = 1 : 599997270 - j = 2 : 1365 + j = 0 : 131940795334438 + j = 1 : 599997364 + j = 2 : 1318 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:40.84 +CPU time used : 00:09:22.18 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5306 -p-value of test : 0.94 +Total observed number : 5441 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:05:18.09 +CPU time used : 00:05:41.89 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4322 -p-value of test : 0.59 +Total observed number : 4320 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:02:19.34 +CPU time used : 00:02:29.77 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7252 -p-value of test : 0.78 +Total observed number : 7449 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:03:56.48 +CPU time used : 00:04:13.44 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4384 -p-value of test : 0.24 +Total observed number : 4386 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:02:53.93 +CPU time used : 00:03:07.15 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4336 -p-value of test : 0.50 +Total observed number : 4423 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:03:00.89 +CPU time used : 00:03:19.25 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7399 -p-value of test : 0.17 +Total observed number : 7406 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:04:22.78 +CPU time used : 00:05:20.88 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7392 -p-value of test : 0.20 +Total observed number : 7166 +p-value of test : 0.96 ----------------------------------------------- -CPU time used : 00:04:07.61 +CPU time used : 00:05:21.02 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7330 -p-value of test : 0.45 +Total observed number : 7304 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:05:19.07 +CPU time used : 00:06:54.01 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7420 -p-value of test : 0.12 +Total observed number : 7310 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:05:37.68 +CPU time used : 00:07:37.06 Generator state: N/A @@ -887,34 +887,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.65 -p-value of test : 0.61 +Stat. AD on the N values (NP) : 3.96 +p-value of test : 9.3e-3 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) : 0.66 -p-value of test : 0.59 +A2 test on the values of A2 (m-NP) : 0.91 +p-value of test : 0.40 -Test on the Nm values of W_{n,i}(mNP1): 0.52 -p-value of test : 0.72 +Test on the Nm values of W_{n,i}(mNP1): 0.75 +p-value of test : 0.52 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 913 -p-value of test : 0.34 +Number of jumps of Y : 869 +p-value of test : 0.85 -Stat. AD (mNP2) : 1.17 -p-value of test : 0.28 +Stat. AD (mNP2) : 2.33 +p-value of test : 0.06 -Stat. AD after spacings (mNP2-S) : 0.82 -p-value of test : 0.47 +Stat. AD after spacings (mNP2-S) : 1.36 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:03:17.60 +CPU time used : 00:04:47.39 Generator state: N/A @@ -935,34 +935,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.51 -p-value of test : 0.74 +Stat. AD on the N values (NP) : 1.02 +p-value of test : 0.34 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) : 1.05 -p-value of test : 0.33 +A2 test on the values of A2 (m-NP) : 0.70 +p-value of test : 0.56 -Test on the Nm values of W_{n,i}(mNP1): 1.29 -p-value of test : 0.24 +Test on the Nm values of W_{n,i}(mNP1): 1.09 +p-value of test : 0.31 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 625 -p-value of test : 0.16 +Number of jumps of Y : 623 +p-value of test : 0.18 -Stat. AD (mNP2) : 0.61 -p-value of test : 0.64 +Stat. AD (mNP2) : 0.77 +p-value of test : 0.51 -Stat. AD after spacings (mNP2-S) : 1.50 -p-value of test : 0.18 +Stat. AD after spacings (mNP2-S) : 0.63 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:02:20.52 +CPU time used : 00:03:08.36 Generator state: N/A @@ -983,34 +983,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.15 -p-value of test : 0.9987 +Stat. AD on the N values (NP) : 0.80 +p-value of test : 0.47 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) : 0.53 -p-value of test : 0.71 +A2 test on the values of A2 (m-NP) : 2.01 +p-value of test : 0.09 -Test on the Nm values of W_{n,i}(mNP1): 1.95 -p-value of test : 0.10 +Test on the Nm values of W_{n,i}(mNP1): 0.28 +p-value of test : 0.95 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 348 -p-value of test : 3.6e-3 +Number of jumps of Y : 313 +p-value of test : 0.23 -Stat. AD (mNP2) : 0.39 -p-value of test : 0.86 +Stat. AD (mNP2) : 0.57 +p-value of test : 0.68 -Stat. AD after spacings (mNP2-S) : 1.91 -p-value of test : 0.10 +Stat. AD after spacings (mNP2-S) : 0.77 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:03:16.14 +CPU time used : 00:04:05.22 Generator state: N/A @@ -1031,34 +1031,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 1.77 -p-value of test : 0.13 +Stat. AD on the N values (NP) : 0.60 +p-value of test : 0.64 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 3.83 -p-value of test : 0.01 +A2 test on the values of A2 (m-NP) : 1.10 +p-value of test : 0.31 -Test on the Nm values of W_{n,i}(mNP1): 2.84 -p-value of test : 0.03 +Test on the Nm values of W_{n,i}(mNP1): 3.15 +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 : 132 -p-value of test : 0.93 +Number of jumps of Y : 129 +p-value of test : 0.96 -Stat. AD (mNP2) : 1.13 -p-value of test : 0.30 +Stat. AD (mNP2) : 0.65 +p-value of test : 0.61 -Stat. AD after spacings (mNP2-S) : 0.52 -p-value of test : 0.73 +Stat. AD after spacings (mNP2-S) : 1.33 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:03:22.26 +CPU time used : 00:04:39.77 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 10.17 -p-value of test : 0.18 +Chi-square statistic : 1.38 +p-value of test : 0.99 ----------------------------------------------- -CPU time used : 00:01:16.73 +CPU time used : 00:01:41.01 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 8.69 -p-value of test : 0.28 +Chi-square statistic : 5.52 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:01:33.92 +CPU time used : 00:02:01.01 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 26.29 -p-value of test : 0.09 +Chi-square statistic : 17.69 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:01:18.85 +CPU time used : 00:01:39.12 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 17.41 -p-value of test : 0.50 +Chi-square statistic : 15.04 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:01:33.51 +CPU time used : 00:01:56.80 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 65.38 -p-value of test : 0.14 +Chi-square statistic : 50.72 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:01:38.92 +CPU time used : 00:02:09.76 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 59.57 -p-value of test : 0.28 +Chi-square statistic : 46.70 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:02:00.64 +CPU time used : 00:02:28.92 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 55.74 -p-value of test : 0.41 +Chi-square statistic : 57.44 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:02:01.35 +CPU time used : 00:02:26.20 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 76.56 -p-value of test : 0.02 +Chi-square statistic : 46.94 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:02:01.85 +CPU time used : 00:02:23.47 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 231.68 -p-value of test : 0.49 +Chi-square statistic : 222.55 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:02:11.96 +CPU time used : 00:02:36.73 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 395.34 -p-value of test : 0.91 +Chi-square statistic : 478.58 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:02:58.32 +CPU time used : 00:03:51.94 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1392.08 -p-value of test : 0.80 +Chi-square statistic : 1631.82 +p-value of test : 2.4e-4 ***** ----------------------------------------------- -CPU time used : 00:03:11.85 +CPU time used : 00:03:59.37 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 6841.00 -p-value of test : 0.96 +Chi-square statistic : 7029.97 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:03:11.88 +CPU time used : 00:04:01.54 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.39 -p-value of test : 0.17 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.70 -Kolmogorov-Smirnov- statistic = D- : 0.10 -p-value of test : 0.85 +Kolmogorov-Smirnov- statistic = D- : 0.35 +p-value of test : 0.23 -Anderson-Darling statistic = A2 : 0.69 -p-value of test : 0.56 +Anderson-Darling statistic = A2 : 0.72 +p-value of test : 0.54 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 24.06 -p-value of test : 0.77 +Chi-square statistic : 32.66 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:01:45.15 +CPU time used : 00:02:01.82 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+ : 0.14 +p-value of test : 0.60 -Kolmogorov-Smirnov- statistic = D- : 0.26 -p-value of test : 0.22 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.48 -Anderson-Darling statistic = A2 : 1.04 -p-value of test : 0.34 +Anderson-Darling statistic = A2 : 0.35 +p-value of test : 0.89 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 74.33 -p-value of test : 0.10 +Chi-square statistic : 60.74 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:04:14.55 +CPU time used : 00:04:53.95 Generator state: N/A @@ -1450,12 +1450,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5 -Value of the statistic : 5.53 -p-value of test : 0.36 +Value of the statistic : 12.55 +p-value of test : 0.03 ----------------------------------------------- -CPU time used : 00:01:15.23 +CPU time used : 00:01:30.50 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 : 107.33 -p-value of test : 0.77 +Value of the statistic : 125.21 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:02:07.07 +CPU time used : 00:02:34.22 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 : 4823.98 -p-value of test : 0.98 +Value of the statistic : 4893.01 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:01:32.50 +CPU time used : 00:01:55.70 Generator state: N/A @@ -1568,11 +1568,11 @@ Test Results for Delta = 1.0000 Number of degrees of freedom : 3628799 Value of the statistic : 3.63e+6 -p-value of test : 0.08 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:03:12.37 +CPU time used : 00:04:04.95 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 : 45927 -p-value of test : 0.41 +Observed number of collisions : 46291 +p-value of test : 0.03 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869927 - j = 1 : 399908149 - j = 2 : 45921 - j = 3 : 3 + j = 0 : 1743165870291 + j = 1 : 399907420 + j = 2 : 46287 + j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:21.80 +CPU time used : 00:05:21.37 Generator state: N/A @@ -1657,22 +1657,22 @@ Test Results for Collisions For the total number of collisions, we use the Poisson approximation: Expected number of collisions = N*Mu : 45879.47 -Observed number of collisions : 45978 -p-value of test : 0.32 +Observed number of collisions : 46084 +p-value of test : 0.17 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869978 - j = 1 : 399908047 - j = 2 : 45972 - j = 3 : 3 + j = 0 : 1743165870084 + j = 1 : 399907838 + j = 2 : 46072 + j = 3 : 6 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:51.87 +CPU time used : 00:06:18.90 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.10 +Kolmogorov-Smirnov+ statistic = D+ : 0.074 +p-value of test : 0.62 -Kolmogorov-Smirnov- statistic = D- : 0.055 -p-value of test : 0.75 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.27 -Anderson-Darling statistic = A2 : 1.88 -p-value of test : 0.11 +Anderson-Darling statistic = A2 : 0.53 +p-value of test : 0.72 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.91 +p-value of test : 0.53 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.030 +Kolmogorov-Smirnov+ statistic = D+ : 0.031 p-value of test : 0.91 -Kolmogorov-Smirnov- statistic = D- : 0.077 -p-value of test : 0.59 +Kolmogorov-Smirnov- statistic = D- : 0.29 +p-value of test : 9.3e-4 ***** -Anderson-Darling statistic = A2 : 0.47 -p-value of test : 0.77 +Anderson-Darling statistic = A2 : 5.21 +p-value of test : 2.3e-3 ----------------------------------------------- -CPU time used : 00:03:24.75 +CPU time used : 00:04:24.01 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.08 +Kolmogorov-Smirnov+ statistic = D+ : 0.088 +p-value of test : 0.60 -Kolmogorov-Smirnov- statistic = D- : 0.069 -p-value of test : 0.72 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.33 -Anderson-Darling statistic = A2 : 1.12 -p-value of test : 0.30 +Anderson-Darling statistic = A2 : 0.63 +p-value of test : 0.62 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.73 +p-value of test : 0.48 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.033 -p-value of test : 0.92 +Kolmogorov-Smirnov+ statistic = D+ : 0.068 +p-value of test : 0.72 -Kolmogorov-Smirnov- statistic = D- : 0.19 -p-value of test : 0.10 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.16 -Anderson-Darling statistic = A2 : 1.98 -p-value of test : 0.10 +Anderson-Darling statistic = A2 : 1.54 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:03:12.32 +CPU time used : 00:04:09.22 Generator state: N/A @@ -1802,36 +1802,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.36 +Kolmogorov-Smirnov+ statistic = D+ : 0.087 +p-value of test : 0.70 -Kolmogorov-Smirnov- statistic = D- : 0.043 -p-value of test : 0.90 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.14 -Anderson-Darling statistic = A2 : 0.37 -p-value of test : 0.88 +Anderson-Darling statistic = A2 : 1.14 +p-value of test : 0.29 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.74 +p-value of test : 0.10 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.44 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.43 -Kolmogorov-Smirnov- statistic = D- : 0.091 -p-value of test : 0.68 +Kolmogorov-Smirnov- statistic = D- : 0.032 +p-value of test : 0.94 -Anderson-Darling statistic = A2 : 0.31 -p-value of test : 0.93 +Anderson-Darling statistic = A2 : 0.58 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:02:32.62 +CPU time used : 00:03:11.75 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.33 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.60 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.49 +Kolmogorov-Smirnov- statistic = D- : 0.066 +p-value of test : 0.81 -Anderson-Darling statistic = A2 : 0.47 -p-value of test : 0.77 +Anderson-Darling statistic = A2 : 0.20 +p-value of test : 0.99 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.40 +p-value of test : 0.57 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.23 -p-value of test : 0.11 +Kolmogorov-Smirnov+ statistic = D+ : 0.073 +p-value of test : 0.77 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.27 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.53 -Anderson-Darling statistic = A2 : 1.06 -p-value of test : 0.33 +Anderson-Darling statistic = A2 : 0.21 +p-value of test : 0.99 ----------------------------------------------- -CPU time used : 00:02:56.60 +CPU time used : 00:03:38.57 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.089 -p-value of test : 0.50 +Kolmogorov-Smirnov+ statistic = D+ : 0.073 +p-value of test : 0.62 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.33 +Kolmogorov-Smirnov- statistic = D- : 0.082 +p-value of test : 0.56 -Anderson-Darling statistic = A2 : 0.73 -p-value of test : 0.53 +Anderson-Darling statistic = A2 : 0.34 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:02:31.79 +CPU time used : 00:03:07.79 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.060 -p-value of test : 0.83 +Kolmogorov-Smirnov+ statistic = D+ : 0.086 +p-value of test : 0.71 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.50 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.48 -Anderson-Darling statistic = A2 : 0.37 -p-value of test : 0.87 +Anderson-Darling statistic = A2 : 0.46 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:01:47.29 +CPU time used : 00:02:10.76 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.17 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.32 -Kolmogorov-Smirnov- statistic = D- : 0.027 -p-value of test : 0.96 +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.45 -Anderson-Darling statistic = A2 : 0.97 -p-value of test : 0.37 +Anderson-Darling statistic = A2 : 0.63 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:02:22.72 +CPU time used : 00:02:47.01 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 2.66e-4 -p-value of test : 0.06 +Kolmogorov-Smirnov+ statistic = D+ : 1.66e-4 +p-value of test : 0.33 -Kolmogorov-Smirnov- statistic = D- : 8.68e-5 -p-value of test : 0.74 +Kolmogorov-Smirnov- statistic = D- : 9.60e-5 +p-value of test : 0.69 -Anderson-Darling statistic = A2 : 1.03 -p-value of test : 0.34 +Anderson-Darling statistic = A2 : 0.95 +p-value of test : 0.38 ----------------------------------------------- -CPU time used : 00:00:33.48 +CPU time used : 00:00:41.45 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.52e-4 -p-value of test : 0.40 +Kolmogorov-Smirnov+ statistic = D+ : 6.36e-5 +p-value of test : 0.85 -Kolmogorov-Smirnov- statistic = D- : 1.23e-4 -p-value of test : 0.54 +Kolmogorov-Smirnov- statistic = D- : 1.80e-4 +p-value of test : 0.28 -Anderson-Darling statistic = A2 : 0.69 -p-value of test : 0.57 +Anderson-Darling statistic = A2 : 0.85 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:00:33.77 +CPU time used : 00:00:42.45 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.98 -p-value of test : 0.16 +Normal statistic : -1.45 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:00:36.20 +CPU time used : 00:00:43.84 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 1.58 -p-value of test : 0.06 +Normal statistic : -0.80 +p-value of test : 0.79 ----------------------------------------------- -CPU time used : 00:00:37.51 +CPU time used : 00:00:43.95 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 0.50 -p-value of test : 0.31 +Normal statistic : -1.38 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:02:01.80 +CPU time used : 00:02:25.19 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 0.69 -p-value of test : 0.25 +Normal statistic : 0.30 +p-value of test : 0.38 ----------------------------------------------- -CPU time used : 00:02:08.42 +CPU time used : 00:02:29.27 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 66.61 -p-value of test : 0.49 +Chi-square statistic : 62.38 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:01:23.63 +CPU time used : 00:01:44.07 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 73.68 -p-value of test : 0.27 +Chi-square statistic : 63.59 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:01:40.64 +CPU time used : 00:02:09.84 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 70.84 -p-value of test : 0.35 +Chi-square statistic : 63.82 +p-value of test : 0.59 ----------------------------------------------- -CPU time used : 00:01:45.37 +CPU time used : 00:02:08.14 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 41.75 -p-value of test : 0.27 +Chi-square statistic : 49.26 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:01:23.48 +CPU time used : 00:01:43.04 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 31.37 -p-value of test : 0.73 +Chi-square statistic : 49.46 +p-value of test : 0.08 ----------------------------------------------- -CPU time used : 00:01:44.77 +CPU time used : 00:02:08.62 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 39.04 -p-value of test : 0.38 +Chi-square statistic : 39.29 +p-value of test : 0.37 ----------------------------------------------- -CPU time used : 00:01:42.43 +CPU time used : 00:02:07.30 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 33.29 -p-value of test : 0.27 +Chi-square statistic : 37.42 +p-value of test : 0.14 ----------------------------------------------- -CPU time used : 00:02:55.00 +CPU time used : 00:03:19.43 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.35 -p-value of test : 0.07 +Kolmogorov-Smirnov+ statistic = D+ : 0.017 +p-value of test : 0.98 -Kolmogorov-Smirnov- statistic = D- : 0.068 -p-value of test : 0.88 +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.32 -Anderson-Darling statistic = A2 : 1.09 -p-value of test : 0.31 +Anderson-Darling statistic = A2 : 1.00 +p-value of test : 0.35 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 28.73 -p-value of test : 0.91 +Chi-square statistic : 53.05 +p-value of test : 0.08 ----------------------------------------------- -CPU time used : 00:01:23.34 +CPU time used : 00:01:51.32 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.43 -p-value of test : 0.02 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.52 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.70 +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.25 -Anderson-Darling statistic = A2 : 1.83 -p-value of test : 0.11 +Anderson-Darling statistic = A2 : 0.98 +p-value of test : 0.37 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 25.89 -p-value of test : 0.96 +Chi-square statistic : 39.48 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:01:24.27 +CPU time used : 00:01:51.09 Generator state: N/A @@ -2396,11 +2396,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 5.98 -p-value of test : 0.11 +Chi-square statistic : 2.35 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:02:27.70 +CPU time used : 00:03:04.51 Generator state: N/A @@ -2420,11 +2420,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 2.19 -p-value of test : 0.53 +Chi-square statistic : 0.50 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:02:22.21 +CPU time used : 00:03:05.46 Generator state: N/A @@ -2448,7 +2448,7 @@ Chi-square statistic : 518.64 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:00:58.11 +CPU time used : 00:01:22.35 Generator state: N/A @@ -2472,7 +2472,7 @@ Chi-square statistic : 518.64 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:00:42.12 +CPU time used : 00:00:58.10 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.43 -p-value of test : 0.02 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.76 -Kolmogorov-Smirnov- statistic = D- : 0.088 -p-value of test : 0.81 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.60 -Anderson-Darling statistic = A2 : 3.82 -p-value of test : 0.01 +Anderson-Darling statistic = A2 : 0.30 +p-value of test : 0.93 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 98.65 -p-value of test : 0.98 +Chi-square statistic : 131.83 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:00:57.01 +CPU time used : 00:01:14.34 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.41 -p-value of test : 0.02 +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.46 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.68 +Kolmogorov-Smirnov- statistic = D- : 0.063 +p-value of test : 0.89 -Anderson-Darling statistic = A2 : 2.73 -p-value of test : 0.04 +Anderson-Darling statistic = A2 : 0.52 +p-value of test : 0.72 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17113.64 -p-value of test : 0.96 +Chi-square statistic :17284.40 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:01:51.31 +CPU time used : 00:02:02.59 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 : 30.51 -p-value of test : 0.73 +ChiSquare statistic : 20.52 +p-value of test : 0.98 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 38.27 -p-value of test : 0.32 +ChiSquare statistic : 29.10 +p-value of test : 0.75 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 18.20 -p-value of test : 0.83 +ChiSquare statistic : 22.06 +p-value of test : 0.63 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 31.47 -p-value of test : 0.14 +ChiSquare statistic : 16.95 +p-value of test : 0.85 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 14.09 -p-value of test : 0.66 +ChiSquare statistic : 14.61 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:00:48.59 +CPU time used : 00:01:02.63 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 : 24.31 -p-value of test : 0.93 +ChiSquare statistic : 48.71 +p-value of test : 0.08 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 33.73 -p-value of test : 0.53 +ChiSquare statistic : 30.02 +p-value of test : 0.71 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 29.15 -p-value of test : 0.26 +ChiSquare statistic : 27.59 +p-value of test : 0.33 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 25.86 -p-value of test : 0.36 +ChiSquare statistic : 39.85 +p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 25.06 -p-value of test : 0.09 +ChiSquare statistic : 20.91 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:00:50.53 +CPU time used : 00:01:03.52 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 : 141.98 -p-value of test : 0.58 +ChiSquare statistic : 130.99 +p-value of test : 0.81 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 132.64 -p-value of test : 0.78 +ChiSquare statistic : 126.60 +p-value of test : 0.88 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 468.08 -p-value of test : 0.84 +ChiSquare statistic : 501.90 +p-value of test : 0.47 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 146.55 -p-value of test : 0.25 +ChiSquare statistic : 140.46 +p-value of test : 0.38 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 55.20 -p-value of test : 0.95 +ChiSquare statistic : 60.55 +p-value of test : 0.87 ----------------------------------------------- -CPU time used : 00:01:00.65 +CPU time used : 00:01:20.27 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 : 190.44 -p-value of test : 7.9e-3 +ChiSquare statistic : 140.22 +p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 180.93 -p-value of test : 0.03 +ChiSquare statistic : 116.12 +p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 544.22 -p-value of test : 0.08 +ChiSquare statistic : 536.66 +p-value of test : 0.12 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 122.54 -p-value of test : 0.79 +ChiSquare statistic : 134.19 +p-value of test : 0.53 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 71.38 -p-value of test : 0.56 +ChiSquare statistic : 48.12 +p-value of test : 0.9915 ----------------------------------------------- -CPU time used : 00:01:00.18 +CPU time used : 00:01:21.52 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 : 386.02 -p-value of test : 0.46 +ChiSquare statistic : 361.71 +p-value of test : 0.79 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 435.87 -p-value of test : 0.03 +ChiSquare statistic : 342.53 +p-value of test : 0.94 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4910.00 -p-value of test : 0.82 +ChiSquare statistic : 4876.32 +p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 379.21 -p-value of test : 0.47 +ChiSquare statistic : 391.02 +p-value of test : 0.31 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 216.85 -p-value of test : 0.20 +ChiSquare statistic : 201.89 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:00:49.57 +CPU time used : 00:01:06.15 Generator state: N/A @@ -2868,44 +2868,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 384 -ChiSquare statistic : 377.26 -p-value of test : 0.59 +ChiSquare statistic : 379.08 +p-value of test : 0.56 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 375.11 -p-value of test : 0.62 +ChiSquare statistic : 373.14 +p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5102.92 -p-value of test : 0.15 +ChiSquare statistic : 4990.75 +p-value of test : 0.53 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 373.40 -p-value of test : 0.56 +ChiSquare statistic : 353.81 +p-value of test : 0.81 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 201.66 -p-value of test : 0.45 +ChiSquare statistic : 202.46 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:00:53.36 +CPU time used : 00:01:06.70 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 11.12 -p-value of test : 0.52 +Chi2 statistic for size of jumps : 39.42 +p-value of test : 9.0e-5 ***** ----------------------------------------------- -Normal statistic for number of jumps : -444.82 +Normal statistic for number of jumps : -445.01 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:00.38 +CPU time used : 00:00:00.45 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 13.42 -p-value of test : 0.34 +Chi2 statistic for size of jumps : 5.06 +p-value of test : 0.96 ----------------------------------------------- -Normal statistic for number of jumps : -445.00 +Normal statistic for number of jumps : -444.95 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:00.42 +CPU time used : 00:00:00.50 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 0.16 +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.41 -Kolmogorov-Smirnov- statistic = D- : 0.079 -p-value of test : 0.84 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.57 -Anderson-Darling statistic = A2 : 1.24 -p-value of test : 0.25 +Anderson-Darling statistic = A2 : 0.50 +p-value of test : 0.74 Tests on the sum of all N observations -Standardized normal statistic : -1.51 -p-value of test : 0.93 +Standardized normal statistic : -0.11 +p-value of test : 0.55 -Sample variance : 1.23 -p-value of test : 0.27 +Sample variance : 1.37 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:00:59.57 +CPU time used : 00:01:12.22 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.068 -p-value of test : 0.88 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.45 -Kolmogorov-Smirnov- statistic = D- : 0.37 -p-value of test : 0.05 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.75 -Anderson-Darling statistic = A2 : 1.82 -p-value of test : 0.12 +Anderson-Darling statistic = A2 : 0.39 +p-value of test : 0.85 Tests on the sum of all N observations -Standardized normal statistic : 1.48 -p-value of test : 0.07 +Standardized normal statistic : -0.26 +p-value of test : 0.60 -Sample variance : 0.99 -p-value of test : 0.45 +Sample variance : 0.87 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:00:58.57 +CPU time used : 00:01:16.29 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.011 -p-value of test : 0.35 +Kolmogorov-Smirnov+ statistic = D+ : 6.67e-3 +p-value of test : 0.69 -Kolmogorov-Smirnov- statistic = D- : 7.57e-3 -p-value of test : 0.62 +Kolmogorov-Smirnov- statistic = D- : 0.014 +p-value of test : 0.21 -Anderson-Darling statistic = A2 : 0.55 -p-value of test : 0.69 +Anderson-Darling statistic = A2 : 0.88 +p-value of test : 0.43 ----------------------------------------------- -CPU time used : 00:00:47.62 +CPU time used : 00:00:57.34 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.012 -p-value of test : 0.30 +Kolmogorov-Smirnov+ statistic = D+ : 0.010 +p-value of test : 0.41 -Kolmogorov-Smirnov- statistic = D- : 0.011 -p-value of test : 0.35 +Kolmogorov-Smirnov- statistic = D- : 3.31e-3 +p-value of test : 0.91 -Anderson-Darling statistic = A2 : 0.66 -p-value of test : 0.59 +Anderson-Darling statistic = A2 : 0.63 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:00:46.75 +CPU time used : 00:00:56.63 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 2.97 -p-value of test : 0.94 +Chi-square statistic : 8.93 +p-value of test : 0.35 ----------------------------------------------- -Global longest run of 1 : 33.00 -p-value of test : 0.44 +Global longest run of 1 : 39.00 +p-value of test : 9.1e-3 ----------------------------------------------- -CPU time used : 00:01:47.88 +CPU time used : 00:01:57.90 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 4.06 -p-value of test : 0.85 +Chi-square statistic : 6.21 +p-value of test : 0.62 ----------------------------------------------- -Global longest run of 1 : 32.00 -p-value of test : 0.50 +Global longest run of 1 : 30.00 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:01:45.64 +CPU time used : 00:02:00.15 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.43 +Kolmogorov-Smirnov+ statistic = D+ : 0.48 +p-value of test : 6.7e-3 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.65 +Kolmogorov-Smirnov- statistic = D- : 1.41e-3 +p-value of test : 0.9986 -Anderson-Darling statistic = A2 : 0.61 -p-value of test : 0.63 +Anderson-Darling statistic = A2 : 4.84 +p-value of test : 3.6e-3 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 187.83 -p-value of test : 0.72 +Chi-square statistic : 145.24 +p-value of test : 0.9987 ----------------------------------------------- -CPU time used : 00:02:54.65 +CPU time used : 00:03:31.06 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.30 -p-value of test : 0.13 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.65 -Kolmogorov-Smirnov- statistic = D- : 0.029 -p-value of test : 0.96 +Kolmogorov-Smirnov- statistic = D- : 0.28 +p-value of test : 0.18 -Anderson-Darling statistic = A2 : 1.33 -p-value of test : 0.22 +Anderson-Darling statistic = A2 : 0.62 +p-value of test : 0.63 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 171.12 -p-value of test : 0.93 +Chi-square statistic : 205.07 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:02:55.30 +CPU time used : 00:03:32.86 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.27 -p-value of test : 0.20 +Kolmogorov-Smirnov+ statistic = D+ : 0.25 +p-value of test : 0.23 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.54 +Kolmogorov-Smirnov- statistic = D- : 0.056 +p-value of test : 0.91 -Anderson-Darling statistic = A2 : 0.96 -p-value of test : 0.38 +Anderson-Darling statistic = A2 : 0.72 +p-value of test : 0.54 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9895.77 -p-value of test : 0.77 +Chi-square statistic : 9869.02 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:01:09.13 +CPU time used : 00:01:17.56 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.016 -p-value of test : 0.98 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.61 -Kolmogorov-Smirnov- statistic = D- : 0.44 -p-value of test : 0.01 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.55 -Anderson-Darling statistic = A2 : 2.92 -p-value of test : 0.03 +Anderson-Darling statistic = A2 : 0.41 +p-value of test : 0.83 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10315.95 -p-value of test : 0.01 +Chi-square statistic : 9972.29 +p-value of test : 0.58 ----------------------------------------------- -CPU time used : 00:01:09.42 +CPU time used : 00:01:20.09 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 1.93 -p-value of test : 0.03 +Normal statistic : 1.39 +p-value of test : 0.08 ----------------------------------------------- -CPU time used : 00:01:23.09 +CPU time used : 00:01:33.16 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.13 -p-value of test : 0.45 +Normal statistic : -1.18 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:01:18.70 +CPU time used : 00:01:27.15 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.72 -p-value of test : 0.76 +Normal statistic : 1.27 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:05:10.07 +CPU time used : 00:05:44.84 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.37 -p-value of test : 0.05 +Kolmogorov-Smirnov+ statistic = D+ : 0.32 +p-value of test : 0.11 -Kolmogorov-Smirnov- statistic = D- : 0.022 -p-value of test : 0.97 +Kolmogorov-Smirnov- statistic = D- : 0.073 +p-value of test : 0.86 -Anderson-Darling statistic = A2 : 1.89 -p-value of test : 0.11 +Anderson-Darling statistic = A2 : 1.42 +p-value of test : 0.20 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4720.54 -p-value of test : 0.96 +Chi-square statistic : 4757.95 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:02:11.03 +CPU time used : 00:02:30.47 Generator state: N/A @@ -3435,21 +3435,21 @@ Counters with expected numbers >= 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.58 +p-value of test : 0.60 -Kolmogorov-Smirnov- statistic = D- : 0.31 -p-value of test : 0.12 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.40 -Anderson-Darling statistic = A2 : 0.83 -p-value of test : 0.45 +Anderson-Darling statistic = A2 : 0.68 +p-value of test : 0.57 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4973.27 -p-value of test : 0.20 +Chi-square statistic : 4956.46 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:02:12.94 +CPU time used : 00:02:35.16 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 : 4115.03 -p-value of test : 0.51 +Chi-square statistic : 4236.88 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:01:35.64 +CPU time used : 00:01:50.63 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 : 4148.65 -p-value of test : 0.36 +Chi-square statistic : 4029.54 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:01:38.35 +CPU time used : 00:01:53.90 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 :11952.23 -p-value of test : 0.20 +Chi-square statistic :11945.15 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:01:44.48 +CPU time used : 00:02:00.95 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