{"id":{"repo_id":"ksu","oai_identifier":"oai:krex.k-state.edu:2097/2295"},"canonical_url":"https://search.dev.ndltd.org/etd/ksu/oai:krex.k-state.edu:2097/2295","repository":{"repo_id":"ksu","name":"Kansas State University","base_url":"https://krex.k-state.edu/server/oai/request"},"display":{"title":"Nonparametric tests for longitudinal data","abstract":"The purpose of this report is to numerically compare several tests that are applicable to longitudinal data when the experiment contains a large number of treatments or experimental conditions. Such data are increasingly common as technology advances. Of interest is to evaluate if there is any significant main effect of treatment or time, and their interactions. Traditional methods such as linear mixed-effects models (LME), generalized estimating equations (GEE), Wilks' lambda, Hotelling-Lawley, and Pillai's multivariate tests were developed under either parametric distributional assumptions or the assumption of large number of replications. A few recent tests, such as Zhang (2008), Bathke & Harrar (2008), and Bathke & Harrar (2008) were specially developed for the setting of large number of treatments with possibly small replications. In this report, I will present some numerical studies regarding these tests. Performance of these tests will be presented for data generated from several distributions.","abstract_html":"The purpose of this report is to numerically compare several tests that are applicable to longitudinal data when the experiment contains a large number of treatments or experimental conditions. Such data are increasingly common as technology advances. Of interest is to evaluate if there is any significant main effect of treatment or time, and their interactions. Traditional methods such as linear mixed-effects models (LME), generalized estimating equations (GEE), Wilks&#x27; lambda, Hotelling-Lawley, and Pillai&#x27;s multivariate tests were developed under either parametric distributional assumptions or the assumption of large number of replications. A few recent tests, such as Zhang (2008), Bathke &amp; Harrar (2008), and Bathke &amp; Harrar (2008) were specially developed for the setting of large number of treatments with possibly small replications. In this report, I will present some numerical studies regarding these tests. Performance of these tests will be presented for data generated from several distributions.","abstract_has_math":false,"creators":["Dong, Lei"],"institution":"Kansas State University","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2009,"date_issued":"2009-12-16T14:23:03Z","date_published":"2009-12-16T14:23:03Z","updated_at":"2026-08-21T22:21:56Z","subjects":["Longitudinal data","Nonparametric tests"],"languages":["en_US"],"rights":["© the author. This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. 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Traditional methods such as linear mixed-effects models (LME), generalized estimating equations (GEE), Wilks' lambda, Hotelling-Lawley, and Pillai's multivariate tests were developed under either parametric distributional assumptions or the assumption of large number of replications. A few recent tests, such as Zhang (2008), Bathke & Harrar (2008), and Bathke & Harrar (2008) were specially developed for the setting of large number of treatments with possibly small replications. In this report, I will present some numerical studies regarding these tests. Performance of these tests will be presented for data generated from several distributions."],"dc:description.degree":["Master of Science"],"dc:identifier.uri":["http://hdl.handle.net/2097/2295"],"dc:language.iso":["en_US"],"dc:publisher":["Kansas State University"],"dc:rights":["© the author. This Item is protected by copyright and/or related rights. 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