| Abstract: | Meta-analysis has become an indispensable tool for reaching accurate and representative conclusions about phenomena of interest
within a research literature. However, in order for meta-analytic computations to provide accurate estimates of population
parameters (e.g., a population correlation), underlying statistical models need to be both efficient and unbiased. Current
fixed-effect (i.e., constant-coefficient) models that assume a common effect for all research results perform poorly under
conditions of effect size heterogeneity, whereas current random-effects (i.e., random-coefficient) models require unrealistic
assumptions about random sampling of observed effect sizes from a normally distributed superpopulation. This article describes
a free statistical software tool that employs a varying-coefficient model recently proposed by Bonett (2008, 2009). The software
(Synthesizer 1.0) employs procedures that do not require effect homogeneity or random sampling of effect sizes from a normal
distribution. It may be used to meta-analyze correlations, alpha reliabilities, and standardized mean differences. The Synthesizer
tool for Microsoft Excel 2007 may be downloaded from the author at www .psychology.iastate.edu/~zkrizan/Synthesizer.htm or
as a supplement to the article at http://brm.psychonomic-journals.org/content/supplemental. |
