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Bishop.Thesis.2015.FINAL.pdf (497.98 KB)

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Fitting Statistical Models with Multiphase Mean Structures for Longitudinal Data

Bishop, Brenden
http://rave.ohiolink.edu/etdc/view?acc_num=osu1430998328

Abstract Details

2015, Master of Arts, Ohio State University, Psychology.
When measuring individuals over time, change is frequently curvilinear and residual errors are typically correlated. Two population-average and two subject-specific models with multiphase mean structures are proposed to model change over time and account for error correlations. In the Frequentist tradition, such models fall under the category of nonlinear and nonlinear mixed-effects models, respectively. The latter class becomes increasingly difficult to estimate with full information maximum likelihood (FIML) as the number of random effects increases. However, Bayesian multilevel models care little for the number of individually modeled parameters, as the mechanics of MCMC escape the numerical integration problems encountered by FIML. This thesis illustrates the differences between population-average and subject-specific models, highlights the advantages of multiphase mean structures, comments on issues regarding the estimation of such models, and presents general Bayesian formulations for population-average and subject-specific models with mutliphase mean structures for a real dataset.
Robert Cudeck (Advisor)
Steve MacEachern (Committee Member)
Minjeong Jeon (Committee Member)
64 p.
Education; Psychology; Statistics
Multiphase Models; Piecewise Models; Longitudinal; Population-Average; Subject-Specific; Full Information Maximum Likelihood; Applied Statistics; Bayesian Multilevel Models

Recommended Citations

Citations

  • Bishop, B. (2015). Fitting Statistical Models with Multiphase Mean Structures for Longitudinal Data [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1430998328

    APA Style (7th edition)

  • Bishop, Brenden. Fitting Statistical Models with Multiphase Mean Structures for Longitudinal Data. 2015. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1430998328.

    MLA Style (8th edition)

  • Bishop, Brenden. "Fitting Statistical Models with Multiphase Mean Structures for Longitudinal Data." Master's thesis, Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1430998328

    Chicago Manual of Style (17th edition)

osu1430998328
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This open access ETD is published by The Ohio State University and OhioLINK.