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Determining Appropriate Sample Sizes and Their Effects on Key Parameters in Longitudinal Three-Level Models


Abstract Through a two study simulation design with different design conditions (sample size at level 1 (L1) was set to 3, level 2 (L2) sample size ranged from 10 to 75, level 3 (L3) sample size ranged from 30 to 150, intraclass correlation (ICC) ranging from 0.10 to 0.50, model complexity ranging from one predictor to three predictors), this study intends to provide general guidelines about adequate sample sizes at three levels under varying ICC conditions for a viable three level HLM analysis (e.g., reasonably unbiased and accurate parameter estimates). In this study, the data generating parameters for the were obtained using a large-scale longitudinal data set from North Carolina, provided by the National Center on Assessment and Accountability ... (more)
Created Date 2016
Contributor Yel, Nedim (Author) / Levy, Roy (Advisor) / Elliott, Stephen N (Advisor) / Schulte, Ann C (Committee member) / Iida, Masumi (Committee member) / Arizona State University (Publisher)
Subject Education / Quantitative psychology / Statistics / Effect Intercept Terms / Fixed Effect Slope Terms / Residual Variance Terms,Residual Covariance Terms / Effect of intraclass correlation on sample Size / Hierarchical Linear Models / Longitudinal Three-Level Models / Sample Size / Three-level HLM analysis
Type Doctoral Dissertation
Extent 339 pages
Language English
Copyright
Reuse Permissions All Rights Reserved
Note Doctoral Dissertation Educational Psychology 2016
Collaborating Institutions Graduate College / ASU Library
Additional Formats MODS / OAI Dublin Core / RIS


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Description Dissertation/Thesis