{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,7]],"date-time":"2026-02-07T16:40:21Z","timestamp":1770482421366,"version":"3.49.0"},"reference-count":10,"publisher":"Oxford University Press (OUP)","issue":"18","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2010,9,15]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>Summary: We propose a likelihood ratio test (LRT) with Bartlett correction in order to identify Granger causality between sets of time series gene expression data. The performance of the proposed test is compared to a previously published bootstrap-based approach. LRT is shown to be significantly faster and statistically powerful even within non-Normal distributions. An R package named gGranger containing an implementation for both Granger causality identification tests is also provided.<\/jats:p>\n               <jats:p>Availability: \u00a0http:\/\/dnagarden.ims.u-tokyo.ac.jp\/afujita\/en\/doku.php?id=ggranger.<\/jats:p>\n               <jats:p>Contact: \u00a0andrefujita@riken.jp<\/jats:p>\n               <jats:p>Supplementary information: \u00a0Supplementary data are available at Bioinformatics online.<\/jats:p>","DOI":"10.1093\/bioinformatics\/btq427","type":"journal-article","created":{"date-parts":[[2010,7,22]],"date-time":"2010-07-22T03:12:05Z","timestamp":1279768325000},"page":"2349-2351","source":"Crossref","is-referenced-by-count":14,"title":["A fast and robust statistical test based on likelihood ratio with Bartlett correction to identify Granger causality between gene sets"],"prefix":"10.1093","volume":"26","author":[{"given":"Andr\u00e9","family":"Fujita","sequence":"first","affiliation":[{"name":"1 Computational Science Research Program, RIKEN, 2-1 Hirosawa, Wako, Saitama 351\u22120198, 2Human Genome Center, Institute of Medical Science, University of Tokyo, 4-6-1 Shirokanedai, Minato-ku, Tokyo 108-8639, Japan, 3Institute of Mathematics and Statistics, University of S\u00e3o Paulo, Rua do Mat\u00e3o, 1010, S\u00e3o Paulo 05508-090, 4Center of Mathematics, Computation and Cognition, Universidade Federal do ABC, Rua Santa Ad\u00e9lia 166, Santo Andr\u00e9 09210-170 and 5Center for Experimental Research, Albert Einstein Research and Education Institute, Av. Albert Einstein, 627 - S\u00e3o Paulo, S\u00e3o Paulo 05652-000, Brazil"}]},{"given":"Kaname","family":"Kojima","sequence":"additional","affiliation":[{"name":"1 Computational Science Research Program, RIKEN, 2-1 Hirosawa, Wako, Saitama 351\u22120198, 2Human Genome Center, Institute of Medical Science, University of Tokyo, 4-6-1 Shirokanedai, Minato-ku, Tokyo 108-8639, Japan, 3Institute of Mathematics and Statistics, University of S\u00e3o Paulo, Rua do Mat\u00e3o, 1010, S\u00e3o Paulo 05508-090, 4Center of Mathematics, Computation and Cognition, Universidade Federal do ABC, Rua Santa Ad\u00e9lia 166, Santo Andr\u00e9 09210-170 and 5Center for Experimental Research, Albert Einstein Research and Education Institute, Av. Albert Einstein, 627 - S\u00e3o Paulo, S\u00e3o Paulo 05652-000, Brazil"}]},{"given":"Alexandre G.","family":"Patriota","sequence":"additional","affiliation":[{"name":"1 Computational Science Research Program, RIKEN, 2-1 Hirosawa, Wako, Saitama 351\u22120198, 2Human Genome Center, Institute of Medical Science, University of Tokyo, 4-6-1 Shirokanedai, Minato-ku, Tokyo 108-8639, Japan, 3Institute of Mathematics and Statistics, University of S\u00e3o Paulo, Rua do Mat\u00e3o, 1010, S\u00e3o Paulo 05508-090, 4Center of Mathematics, Computation and Cognition, Universidade Federal do ABC, Rua Santa Ad\u00e9lia 166, Santo Andr\u00e9 09210-170 and 5Center for Experimental Research, Albert Einstein Research and Education Institute, Av. Albert Einstein, 627 - S\u00e3o Paulo, S\u00e3o Paulo 05652-000, Brazil"}]},{"given":"Jo\u00e3o R.","family":"Sato","sequence":"additional","affiliation":[{"name":"1 Computational Science Research Program, RIKEN, 2-1 Hirosawa, Wako, Saitama 351\u22120198, 2Human Genome Center, Institute of Medical Science, University of Tokyo, 4-6-1 Shirokanedai, Minato-ku, Tokyo 108-8639, Japan, 3Institute of Mathematics and Statistics, University of S\u00e3o Paulo, Rua do Mat\u00e3o, 1010, S\u00e3o Paulo 05508-090, 4Center of Mathematics, Computation and Cognition, Universidade Federal do ABC, Rua Santa Ad\u00e9lia 166, Santo Andr\u00e9 09210-170 and 5Center for Experimental Research, Albert Einstein Research and Education Institute, Av. Albert Einstein, 627 - S\u00e3o Paulo, S\u00e3o Paulo 05652-000, Brazil"}]},{"given":"Patricia","family":"Severino","sequence":"additional","affiliation":[{"name":"1 Computational Science Research Program, RIKEN, 2-1 Hirosawa, Wako, Saitama 351\u22120198, 2Human Genome Center, Institute of Medical Science, University of Tokyo, 4-6-1 Shirokanedai, Minato-ku, Tokyo 108-8639, Japan, 3Institute of Mathematics and Statistics, University of S\u00e3o Paulo, Rua do Mat\u00e3o, 1010, S\u00e3o Paulo 05508-090, 4Center of Mathematics, Computation and Cognition, Universidade Federal do ABC, Rua Santa Ad\u00e9lia 166, Santo Andr\u00e9 09210-170 and 5Center for Experimental Research, Albert Einstein Research and Education Institute, Av. Albert Einstein, 627 - S\u00e3o Paulo, S\u00e3o Paulo 05652-000, Brazil"}]},{"given":"Satoru","family":"Miyano","sequence":"additional","affiliation":[{"name":"1 Computational Science Research Program, RIKEN, 2-1 Hirosawa, Wako, Saitama 351\u22120198, 2Human Genome Center, Institute of Medical Science, University of Tokyo, 4-6-1 Shirokanedai, Minato-ku, Tokyo 108-8639, Japan, 3Institute of Mathematics and Statistics, University of S\u00e3o Paulo, Rua do Mat\u00e3o, 1010, S\u00e3o Paulo 05508-090, 4Center of Mathematics, Computation and Cognition, Universidade Federal do ABC, Rua Santa Ad\u00e9lia 166, Santo Andr\u00e9 09210-170 and 5Center for Experimental Research, Albert Einstein Research and Education Institute, Av. Albert Einstein, 627 - S\u00e3o Paulo, S\u00e3o Paulo 05652-000, Brazil"},{"name":"1 Computational Science Research Program, RIKEN, 2-1 Hirosawa, Wako, Saitama 351\u22120198, 2Human Genome Center, Institute of Medical Science, University of Tokyo, 4-6-1 Shirokanedai, Minato-ku, Tokyo 108-8639, Japan, 3Institute of Mathematics and Statistics, University of S\u00e3o Paulo, Rua do Mat\u00e3o, 1010, S\u00e3o Paulo 05508-090, 4Center of Mathematics, Computation and Cognition, Universidade Federal do ABC, Rua Santa Ad\u00e9lia 166, Santo Andr\u00e9 09210-170 and 5Center for Experimental Research, Albert Einstein Research and Education Institute, Av. 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