Abstract

Meta-analysis is a popular statistical approach which is used to analytically synthesise different research reports or papers on the same topic to obtain more comprehensive research results on that topic. Individual level data are not often available across studies included in a systematic review. Instead, summary data is often at the study-level of information such as effect size indices and some measures of uncertainty such as a confidence interval or estimate of variance. However, there are many different types of effect sizes, and different authors may report different effect sizes due to different types of data or different study designs. Hence, how to compare these different kinds of effect sizes is a challenge. In this thesis, several methods for converting between different types of effect sizes are considered along with their variances since it is commonly used in many meta-analytic approaches. Then, the effect of these transformation methods is evaluated from the perspective of stability and accuracy for simulated and real data sets.

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