{"action":"created","issue":{"url":"https://api.github.com/repos/StrikeNP/trac_test/issues/764","repository_url":"https://api.github.com/repos/StrikeNP/trac_test","labels_url":"https://api.github.com/repos/StrikeNP/trac_test/issues/764/labels{/name}","comments_url":"https://api.github.com/repos/StrikeNP/trac_test/issues/764/comments","events_url":"https://api.github.com/repos/StrikeNP/trac_test/issues/764/events","html_url":"https://github.com/StrikeNP/trac_test/issues/764","id":330469105,"node_id":"MDU6SXNzdWUzMzA0NjkxMDU=","number":764,"title":"Can ADG2 Improve LBA and RICO? (Trac #764)","user":{"login":"StrikeNP","id":2577059,"node_id":"MDQ6VXNlcjI1NzcwNTk=","avatar_url":"https://avatars0.githubusercontent.com/u/2577059?v=4","gravatar_id":"","url":"https://api.github.com/users/StrikeNP","html_url":"https://github.com/StrikeNP","followers_url":"https://api.github.com/users/StrikeNP/followers","following_url":"https://api.github.com/users/StrikeNP/following{/other_user}","gists_url":"https://api.github.com/users/StrikeNP/gists{/gist_id}","starred_url":"https://api.github.com/users/StrikeNP/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/StrikeNP/subscriptions","organizations_url":"https://api.github.com/users/StrikeNP/orgs","repos_url":"https://api.github.com/users/StrikeNP/repos","events_url":"https://api.github.com/users/StrikeNP/events{/privacy}","received_events_url":"https://api.github.com/users/StrikeNP/received_events","type":"User","site_admin":false},"labels":[{"id":958019852,"node_id":"MDU6TGFiZWw5NTgwMTk4NTI=","url":"https://api.github.com/repos/StrikeNP/trac_test/labels/Migrated%20from%20Trac","name":"Migrated from Trac","color":"FFFFFF","default":false},{"id":958042830,"node_id":"MDU6TGFiZWw5NTgwNDI4MzA=","url":"https://api.github.com/repos/StrikeNP/trac_test/labels/clubb_src","name":"clubb_src","color":"FFFFFF","default":false},{"id":958019855,"node_id":"MDU6TGFiZWw5NTgwMTk4NTU=","url":"https://api.github.com/repos/StrikeNP/trac_test/labels/defect","name":"defect","color":"FFFFFF","default":false},{"id":958124753,"node_id":"MDU6TGFiZWw5NTgxMjQ3NTM=","url":"https://api.github.com/repos/StrikeNP/trac_test/labels/weberjk@uwm.edu","name":"weberjk@uwm.edu","color":"FFFFFF","default":false}],"state":"open","locked":false,"assignee":null,"assignees":[],"milestone":{"url":"https://api.github.com/repos/StrikeNP/trac_test/milestones/20","html_url":"https://github.com/StrikeNP/trac_test/milestone/20","labels_url":"https://api.github.com/repos/StrikeNP/trac_test/milestones/20/labels","id":3409155,"node_id":"MDk6TWlsZXN0b25lMzQwOTE1NQ==","number":20,"title":"Improve CLUBB's representation of deep convection","description":null,"creator":{"login":"StrikeNP","id":2577059,"node_id":"MDQ6VXNlcjI1NzcwNTk=","avatar_url":"https://avatars0.githubusercontent.com/u/2577059?v=4","gravatar_id":"","url":"https://api.github.com/users/StrikeNP","html_url":"https://github.com/StrikeNP","followers_url":"https://api.github.com/users/StrikeNP/followers","following_url":"https://api.github.com/users/StrikeNP/following{/other_user}","gists_url":"https://api.github.com/users/StrikeNP/gists{/gist_id}","starred_url":"https://api.github.com/users/StrikeNP/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/StrikeNP/subscriptions","organizations_url":"https://api.github.com/users/StrikeNP/orgs","repos_url":"https://api.github.com/users/StrikeNP/repos","events_url":"https://api.github.com/users/StrikeNP/events{/privacy}","received_events_url":"https://api.github.com/users/StrikeNP/received_events","type":"User","site_admin":false},"open_issues":4,"closed_issues":16,"state":"open","created_at":"2018-06-07T21:46:41Z","updated_at":"2018-06-10T08:20:52Z","due_on":null,"closed_at":null},"comments":75,"created_at":"2018-06-07T23:23:02Z","updated_at":"2018-06-10T11:20:11Z","closed_at":null,"author_association":"OWNER","body":"In r7513 we (partially) implemented ADG2 to solve for the widths/positions of the two w Gaussians. The initial results look promising. In ADG1, highly skewed cases resulted in the first component being very wide and the second being very narrow while their means were largely the same. In ADG2, it appears we are able to make the means of the two components more different and produce skewed distributions closer to that of SAM.In https://github.com/larson-group/clubb/issues/730 we came up with some ideas to test this implementation of ADG2. They are repeated below.\n\n* Introduce a tuning parameter into Luhar in order to make w1 and w2 even closer, and hence rt1 and rt2 even farther apart. E.g., we could replace m=(2/3) |Skw|^1/3^ with m=(1/3) |Skw|^1/3^. \n\n* After making rt1 and rt2 farther apart, we could try to increase the skewness of rt and thl somehow. Perhaps boost beta beyond 3? \n\n* Examine the generality of the results. Does RICO improve? \n\n* Why does rain onset late in LBA? Would boosting turbulent advection help? \n\n* If the problem is that CLUBB is underestimating the ratio of accretion to evaporation? If so, then it would be nice to figure out why we can't increase the correlation between chi and rr more without incurring a failure in Cholesky decomp.\n\nLet's use this ticket to keep track of our progress. \n\nAttachments:\n\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/ADG2_coef_1ovr2_warm_rain_morr.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/ADG2_coef_1ovr2_no_rain_warm_rain_morr.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/control_warm_rain_morr.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/compare_ADG1_ADG2_skw_coef_p5_input_fields_rain_norain.maff\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/ADG2_coef_2ovr3_nonlcl_sigmarr_4_sigma_nr2_joint_pdf_chi_rr_330min_3000m.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/ADG2_coef_2ovr3_nonlcl_sigmarr_4_sigma_nr2_3000m_330min_hist_chi.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/ADG2_coef_2ovr3_nonlcl_sigmarr_4_sigma_nr2_warm_rain_morr.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/Skw_coef_1ovr3_189min_249min_warm_rain_morr.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/Skw_coef_1ovr2_189min_249min_warm_rain_morr.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/Skw_coef_2ovr3_189min_249min_warm_rain_morr.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/lba_Skw_coef_2ovr3_2000m_hist_chi.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/lba_Skw_coef_1ovr3_2000m_hist_chi.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/lba_Skw_coef_1ovr2_2000m_hist_chi.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/lba_Skw_coef_1ovr3_3000m_hist_chi.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/compare_interactive_runs_default_and_ADG2.maff\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/compare_ADG1_ADG2_2ovr3_1ovr2_1ovr3_coef_input_fields.maff\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/lba_ADG2_1ovr2_BigM_coef4_2000m_hist_chi.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/lba_ADG2_1ovr2_BigM_coef2_2000m_hist_chi.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/ADG2_1ovr2_BigM_coef2_189min_249min_warm_rain_morr.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/ADG2_1ovr2_BigM_coef4_189min_249min_warm_rain_morr.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/ADG1_vary_sigma2_on_mu2_rr.maff\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/ADG2_vary_sigma2_on_mu2_rr.maff\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/ADG1_189min_249min_warm_rain_morr.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/ADG2_189min_249min_warm_rain_morr.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/ADG2_vary_beta.maff\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/ADG2_vary_NovrM.maff\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/ADG2_vary_coef_Skw.maff\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/compare_ADG1_ADG2_best.maff\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/varnce_thl_1_before_and_after.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/189min_249min_prog_Skthl.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/189min_249min_skw_compare.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/189min_249min_prog_Skrt.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/189min_249min_prog_Skrt_w_fac.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/green_corrwthl_blue_corrwrt.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/189min_249min_prog_Skrt_w_fac_const_p4.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/189min_249min_prog_Skrt_w_fac_mcorr_wthl.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/RICO_rcm_hrs_71_72.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/RICO_cf_hrs_71_72.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/pdf_closure_ADG2.diff\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/RICO_diff_comp_means_chi.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/RICO_compare_rcm_hrs_71_72.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/RICO_compare_cf_hrs_71_72.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/RICO_BAD_DOG!.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/little_m_skewness.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/little_m_func_Skw_eq_1.png\nhttp://carson.math.uwm.edu/trac/clubb/attachment/ticket/764/little_m_func_Skw_eq_2.png\n\nMigrated from http://carson.math.uwm.edu/trac/clubb/ticket/764\n```json\n{\n    \"status\": \"closed\", \n    \"changetime\": \"2017-10-22T20:13:18\", \n    \"description\": \"In r7513 we (partially) implemented ADG2 to solve for the widths/positions of the two w Gaussians. The initial results look promising. In ADG1, highly skewed cases resulted in the first component being very wide and the second being very narrow while their means were largely the same. In ADG2, it appears we are able to make the means of the two components more different and produce skewed distributions closer to that of SAM.In comment:162:ticket:730 we came up with some ideas to test this implementation of ADG2. They are repeated below.\\n\\n* Introduce a tuning parameter into Luhar in order to make w1 and w2 even closer, and hence rt1 and rt2 even farther apart. E.g., we could replace m=(2/3) |Skw|^1/3^ with m=(1/3) |Skw|^1/3^. \\n\\n* After making rt1 and rt2 farther apart, we could try to increase the skewness of rt and thl somehow. Perhaps boost beta beyond 3? \\n\\n* Examine the generality of the results. Does RICO improve? \\n\\n* Why does rain onset late in LBA? Would boosting turbulent advection help? \\n\\n* If the problem is that CLUBB is underestimating the ratio of accretion to evaporation? If so, then it would be nice to figure out why we can't increase the correlation between chi and rr more without incurring a failure in Cholesky decomp.\\n\\nLet's use this ticket to keep track of our progress. \", \n    \"reporter\": \"weberjk@uwm.edu\", \n    \"cc\": \"vlarson@uwm.edu, bmg2@uwm.edu\", \n    \"resolution\": \"wontfix\", \n    \"_ts\": \"1508703198162636\", \n    \"component\": \"clubb_src\", \n    \"summary\": \"Can ADG2 Improve LBA and RICO?\", \n    \"priority\": \"major\", \n    \"keywords\": \"\", \n    \"time\": \"2015-03-03T13:59:27\", \n    \"milestone\": \"Improve CLUBB's representation of deep convection\", \n    \"owner\": \"weberjk@uwm.edu\", \n    \"type\": \"defect\"\n}\n```\n"},"comment":{"url":"https://api.github.com/repos/StrikeNP/trac_test/issues/comments/396041228","html_url":"https://github.com/StrikeNP/trac_test/issues/764#issuecomment-396041228","issue_url":"https://api.github.com/repos/StrikeNP/trac_test/issues/764","id":396041228,"node_id":"MDEyOklzc3VlQ29tbWVudDM5NjA0MTIyOA==","user":{"login":"StrikeNP","id":2577059,"node_id":"MDQ6VXNlcjI1NzcwNTk=","avatar_url":"https://avatars0.githubusercontent.com/u/2577059?v=4","gravatar_id":"","url":"https://api.github.com/users/StrikeNP","html_url":"https://github.com/StrikeNP","followers_url":"https://api.github.com/users/StrikeNP/followers","following_url":"https://api.github.com/users/StrikeNP/following{/other_user}","gists_url":"https://api.github.com/users/StrikeNP/gists{/gist_id}","starred_url":"https://api.github.com/users/StrikeNP/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/StrikeNP/subscriptions","organizations_url":"https://api.github.com/users/StrikeNP/orgs","repos_url":"https://api.github.com/users/StrikeNP/repos","events_url":"https://api.github.com/users/StrikeNP/events{/privacy}","received_events_url":"https://api.github.com/users/StrikeNP/received_events","type":"User","site_admin":false},"created_at":"2018-06-10T11:20:11Z","updated_at":"2018-06-10T11:20:11Z","author_association":"OWNER","body":"Trac update at 2015/03/30 at 14:12\n\n\n* bmg2@uwm.edu changed _comment0 from:\n\n> == The m&M's Chart ==\n> \n> || m || M || mixt_frac (Skw = 0.5) || mixt_frac (Skw = 1.5) || mixt_frac (Skw = 2.5) || mixt_frac (Skw = 3.5) || mixt_frac (Skw = 4.5) ||\n> || 0.05\t|| 44.7041 || 0.0709 || 0.0097 || 0.0035 || 0.0018 || 0.0011 ||\n> || 0.1\t|| 11.3719 || 0.1777 || 0.0350 || 0.0135 || 0.0070 || 0.0043 ||\n> || 0.25\t|| 2.0462  || 0.3316 || 0.1342 || 0.0636 || 0.0357 || 0.0225 ||\n> || 0.5  || 0.7396  || 0.3949 || 0.2290 || 0.1339 || 0.0835 || 0.0558 ||\n> || 0.75 || 0.5344  || 0.4101 || 0.2596 || 0.1627 || 0.1061 || 0.0728 ||\n> || 1    || 0.5     || 0.4130 || 0.2657 || 0.1689 || 0.1111 || 0.0767 ||\n> || 1.25 || 0.5173  || 0.4115 || 0.2626 || 0.1657 || 0.1085 || 0.0747 ||\n> || 1.5  || 0.5535  || 0.4086 || 0.2564 || 0.1595 || 0.1035 || 0.0708 ||\n> || 2    || 0.6378  || 0.4021 || 0.2431 || 0.1468 || 0.0934 || 0.0631 ||\n> || 3    || 0.7716  || 0.3928 || 0.2249 || 0.1303 || 0.0809 || 0.0539 ||\n> || 4    || 0.8506  || 0.3877 || 0.2156 || 0.1223 || 0.0750 || 0.0496 ||\n> || 5    || 0.8967  || 0.3848 || 0.2105 || 0.1181 || 0.0719 || 0.0474 ||\n> \n> Please note that for purpose of this chart, m is not based on any formula involving skewness, such as m = 2/3 * | Skw |^1/3^.\n\nto:\n\n> 1427729672041780\n\n\n* bmg2@uwm.edu changed _comment1 from:\n\n> == The m&M's Chart ==\n> \n> ||  m  ||  M  ||  mixt_frac [[br]] (Skw=0.5)  ||  mixt_frac [[br]] (Skw=1.5)  ||  mixt_frac [[br]] (Skw=2.5)  ||  mixt_frac [[br]] (Skw=3.5)  ||  mixt_frac [[br]] (Skw=4.5)  ||\n> || 0.05\t|| 44.7041 || 0.0709 || 0.0097 || 0.0035 || 0.0018 || 0.0011 ||\n> || 0.1\t|| 11.3719 || 0.1777 || 0.0350 || 0.0135 || 0.0070 || 0.0043 ||\n> || 0.25\t|| 2.0462  || 0.3316 || 0.1342 || 0.0636 || 0.0357 || 0.0225 ||\n> || 0.5  || 0.7396  || 0.3949 || 0.2290 || 0.1339 || 0.0835 || 0.0558 ||\n> || 0.75 || 0.5344  || 0.4101 || 0.2596 || 0.1627 || 0.1061 || 0.0728 ||\n> || 1    || 0.5     || 0.4130 || 0.2657 || 0.1689 || 0.1111 || 0.0767 ||\n> || 1.25 || 0.5173  || 0.4115 || 0.2626 || 0.1657 || 0.1085 || 0.0747 ||\n> || 1.5  || 0.5535  || 0.4086 || 0.2564 || 0.1595 || 0.1035 || 0.0708 ||\n> || 2    || 0.6378  || 0.4021 || 0.2431 || 0.1468 || 0.0934 || 0.0631 ||\n> || 3    || 0.7716  || 0.3928 || 0.2249 || 0.1303 || 0.0809 || 0.0539 ||\n> || 4    || 0.8506  || 0.3877 || 0.2156 || 0.1223 || 0.0750 || 0.0496 ||\n> || 5    || 0.8967  || 0.3848 || 0.2105 || 0.1181 || 0.0719 || 0.0474 ||\n> \n> Please note that for purpose of this chart, m is not based on any formula involving skewness, such as m=2/3*|Skw|^1/3^.\n\nto:\n\n> 1427729743696207\n\n\n* bmg2@uwm.edu changed _comment2 from:\n\n> == The m&M's Chart ==\n> \n> ||  m  ||  M  ||  mixt_frac [[br]] (Skw=0.5)  ||  mixt_frac [[br]] (Skw=1.5)  ||  mixt_frac [[br]] (Skw=2.5)  ||  mixt_frac [[br]] (Skw=3.5)  ||  mixt_frac [[br]] (Skw=4.5)  ||\n> || 0.05\t|| 44.7041 || 0.0709 || 0.0097 || 0.0035 || 0.0018 || 0.0011 ||\n> || 0.1\t|| 11.3719 || 0.1777 || 0.0350 || 0.0135 || 0.0070 || 0.0043 ||\n> || 0.25\t|| 2.0462  || 0.3316 || 0.1342 || 0.0636 || 0.0357 || 0.0225 ||\n> || 0.5  || 0.7396  || 0.3949 || 0.2290 || 0.1339 || 0.0835 || 0.0558 ||\n> || 0.75 || 0.5344  || 0.4101 || 0.2596 || 0.1627 || 0.1061 || 0.0728 ||\n> || 1    || 0.5     || 0.4130 || 0.2657 || 0.1689 || 0.1111 || 0.0767 ||\n> || 1.25 || 0.5173  || 0.4115 || 0.2626 || 0.1657 || 0.1085 || 0.0747 ||\n> || 1.5  || 0.5535  || 0.4086 || 0.2564 || 0.1595 || 0.1035 || 0.0708 ||\n> || 2    || 0.6378  || 0.4021 || 0.2431 || 0.1468 || 0.0934 || 0.0631 ||\n> || 3    || 0.7716  || 0.3928 || 0.2249 || 0.1303 || 0.0809 || 0.0539 ||\n> || 4    || 0.8506  || 0.3877 || 0.2156 || 0.1223 || 0.0750 || 0.0496 ||\n> || 5    || 0.8967  || 0.3848 || 0.2105 || 0.1181 || 0.0719 || 0.0474 ||\n> \n> Please note that for purpose of this chart, m is ''not'' based on any formula involving skewness, such as m=2/3*|Skw|^1/3^.\n\nto:\n\n> 1427729760545330\n\n\n* bmg2@uwm.edu changed _comment3 from:\n\n> == The m&M's Chart ==\n> \n> ||  m  ||  M  ||  mixt_frac [[br]] (Skw=0.5)  ||  mixt_frac [[br]] (Skw=1.5)  ||  mixt_frac [[br]] (Skw=2.5)  ||  mixt_frac [[br]] (Skw=3.5)  ||  mixt_frac [[br]] (Skw=4.5)  ||\n> || 0.05\t|| 44.7041 || 0.0709 || 0.0097 || 0.0035 || 0.0018 || 0.0011 ||\n> || 0.1\t|| 11.3719 || 0.1777 || 0.0350 || 0.0135 || 0.0070 || 0.0043 ||\n> || 0.25\t|| 2.0462  || 0.3316 || 0.1342 || 0.0636 || 0.0357 || 0.0225 ||\n> || 0.5  || 0.7396  || 0.3949 || 0.2290 || 0.1339 || 0.0835 || 0.0558 ||\n> || 0.75 || 0.5344  || 0.4101 || 0.2596 || 0.1627 || 0.1061 || 0.0728 ||\n> || 1    || 0.5     || 0.4130 || 0.2657 || 0.1689 || 0.1111 || 0.0767 ||\n> || 1.25 || 0.5173  || 0.4115 || 0.2626 || 0.1657 || 0.1085 || 0.0747 ||\n> || 1.5  || 0.5535  || 0.4086 || 0.2564 || 0.1595 || 0.1035 || 0.0708 ||\n> || 2    || 0.6378  || 0.4021 || 0.2431 || 0.1468 || 0.0934 || 0.0631 ||\n> || 3    || 0.7716  || 0.3928 || 0.2249 || 0.1303 || 0.0809 || 0.0539 ||\n> || 4    || 0.8506  || 0.3877 || 0.2156 || 0.1223 || 0.0750 || 0.0496 ||\n> || 5    || 0.8967  || 0.3848 || 0.2105 || 0.1181 || 0.0719 || 0.0474 ||\n> \n> Please note that for purpose of this chart, m is not based on any formula involving skewness, such as m=2/3*|Skw|^1/3^.\n\nto:\n\n> 1427731236097001\n\n\n* bmg2@uwm.edu commented:\n\n== The m&Ms Chart ==\n\n||  m  ||  M  ||  mixt_frac [[br]] (Skw=0.5)  ||  mixt_frac [[br]] (Skw=1.5)  ||  mixt_frac [[br]] (Skw=2.5)  ||  mixt_frac [[br]] (Skw=3.5)  ||  mixt_frac [[br]] (Skw=4.5)  ||\n|| 0.05\t|| 44.7041 || 0.0709 || 0.0097 || 0.0035 || 0.0018 || 0.0011 ||\n|| 0.1\t|| 11.3719 || 0.1777 || 0.0350 || 0.0135 || 0.0070 || 0.0043 ||\n|| 0.25\t|| 2.0462  || 0.3316 || 0.1342 || 0.0636 || 0.0357 || 0.0225 ||\n|| 0.5  || 0.7396  || 0.3949 || 0.2290 || 0.1339 || 0.0835 || 0.0558 ||\n|| 0.75 || 0.5344  || 0.4101 || 0.2596 || 0.1627 || 0.1061 || 0.0728 ||\n|| 1    || 0.5     || 0.4130 || 0.2657 || 0.1689 || 0.1111 || 0.0767 ||\n|| 1.25 || 0.5173  || 0.4115 || 0.2626 || 0.1657 || 0.1085 || 0.0747 ||\n|| 1.5  || 0.5535  || 0.4086 || 0.2564 || 0.1595 || 0.1035 || 0.0708 ||\n|| 2    || 0.6378  || 0.4021 || 0.2431 || 0.1468 || 0.0934 || 0.0631 ||\n|| 3    || 0.7716  || 0.3928 || 0.2249 || 0.1303 || 0.0809 || 0.0539 ||\n|| 4    || 0.8506  || 0.3877 || 0.2156 || 0.1223 || 0.0750 || 0.0496 ||\n|| 5    || 0.8967  || 0.3848 || 0.2105 || 0.1181 || 0.0719 || 0.0474 ||\n\nPlease note that for purpose of this chart, m is not based on any formula involving skewness, such as m=2/3*|Skw|^1/3^.\n\n"}}
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