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Within Study Dependence in Meta-Analysis: Comparison of GLS Method and Multilevel Approaches

Multivariate meta-analysis methods typically assume the dependence of effect sizes. One type of experimental-design study that generates dependent effect sizes is the multiple-endpoint
study. While the generalized least squares (GLS) approach requires the sample covariance between outcomes within studies to deal with the dependence of the effect sizes, the univariate
three-level approach does not require the sample covariance to analyze such multivariate effect-size data. Considering that it is rare that primary studies report the sample covariance, if
the two approaches produce the same estimates and corresponding standard errors, the univariate three-level model approach could be an alternative to the GLS approach. The main purpose of
this dissertation was to compare these two approaches under the random-effects model for synthesizing standardized mean differences in multiple-endpoints experimental designs using a
simulation study. Two data sets were generated under the random-effects model: one set with two outcomes and the other set with five outcomes. The simulation study in this dissertation found
that the univariate three-level model yielded the appropriate parameter estimates and their standard errors corresponding to those in the multivariate meta-analysis using the GLS
approach. / A Dissertation submitted to the Department of Educational Psychology and Learning Systems in partial fulfillment of the requirements for the degree of Doctor
of Philosophy. / Fall Semester, 2014. / November 6, 2014. / effect sizes, gls, meta-analysis, multilevel, multivariate / Includes bibliographical references. / Betsy Jane Becker, Professor Directing Dissertation; Fred Huffer, University Representative; Insu Paek, Committee Member; Yanyun Yang, Committee
Member.

Identiferoai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_252856
ContributorsLee, Seungjin (authoraut), Becker, Betsy Jane, 1956- (professor directing dissertation), Huffer, Fred W. (Fred William) (university representative), Paek, Insu (committee member), Yang, Yanyun (committee member), Florida State University (degree granting institution), College of Education (degree granting college), Department of Educational Psychology and Learning Systems (degree granting department)
PublisherFlorida State University, Florida State University
Source SetsFlorida State University
LanguageEnglish, English
Detected LanguageEnglish
TypeText, text
Format1 online resource (72 pages), computer, application/pdf
RightsThis 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. For other uses you need to obtain permission from the rights-holder(s). The copyright in theses and dissertations completed at Florida State University is held by the students who author them.

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