Type
Text
Type
Dissertation
Advisor
Zhu, Wei | Nancy Mendell | Haipeng Xing | Ellen Li.
Date
2010-05-01
Keywords
structural equation modeling | Statistics
Department
Department of Applied Mathematics and Statistics
Language
en_US
Source
This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.
Identifier
http://hdl.handle.net/11401/72667
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.
Format
application/pdf
Abstract
A mixed-design study, also called a split-plot design, intends to evaluate the differences among multiple independent groups and multiple treatment conditions simultaneously, with repeated measurements of the same participants. Structural equation modeling (SEM), also referred to as path analysis, is a statistical technique used by researchers in many fields to verify or disprove hypothesized causal links among a predefined system of variables. The existing SEM methods for detecting differences in path strength among multiple datasets can accommodate comparisons of independent groups or repeated measures (e.g. with and without stimulus), but not both. Thus SEM is unable to perform a direct analysis of a mixed-design study. To fill this void, we have developed a cohesive two-level parametric modeling approach using the maximum likelihood method (MLE SEM) for detecting differences in pathways caused by multiple factors, both between and within groups, such as group membership and treatment condition. The method is illustrated through a brain functional pathway analysis. Further, developments of the mixed-design methodology for Latent Variable SEM and Partial Least Squares SEM (PLS SEM) are included, and guidelines for power and sample size are provided.
Recommended Citation
Sharpe, Kathryn Elizabeth, "Structural Equation Modeling for Mixed Designs" (2010). Stony Brook Theses and Dissertations Collection, 2006-2020 (closed to submissions). 1870.
https://commons.library.stonybrook.edu/stony-brook-theses-and-dissertations-collection/1870