Meta-Analysis: A Structural Equation Modeling Approach (Day 1)

Mike W.-L. Cheung (National University of Singapore)

6 Oct 2015

My background

Proposed schedule

Types of data analyses

Very brief history of meta-analysis (1)

Pearson, K. (1904). Report on certain enteric fever inoculation statistics. BMJ, 2(2288), 1243-1246.

Very brief history of meta-analysis (2)

Glass, G. V. (1976). Primary, secondary, and meta-analysis of research. Educational Researcher, 5(10), 3-8.

Very brief history of meta-analysis (3)

Schmidt, F. L., & Hunter, J. E. (1977). Development of a general solution to the problem of validity generalization. Journal of Applied Psychology, 62(5), 529-540.

Schmidt, F. L., & Hunter, J. E. (2015). Methods of meta-analysis: Correcting error and bias in research findings (3rd ed.). Thousand Oaks, CA: Sage.

Statistical models in meta-analysis


Statistical models in SEM

Why do we (I) want to integrate these two lines of research?

Are meta-analyses structural equation models?

Meta-analysis SEM
Study (k study) Subject (N subjects)
Observed (sample) effect sizes Observed scores
True (population) effect sizes Latent scores
Average effect Mean of latent scores
Heterogeneity variance Variance of latent scores
Sampling error Measurement error
Moderator Predictor

What are the advantages of the SEM-based meta-analysis?

Effect sizes

Common effect sizes and their sampling variances