Free access to new paper on estimation of the biserial correlation

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  • Author: Statistics Views
  • Date: 12 December 2016

Each week, we select a recently published article and provide free access. This week's is from Research Synthesis Methods and is available from Early View.

To read the article in full, please click the link below:

Estimation of the biserial correlation and its sampling variance for use in meta-analysis

Perke Jacobs and Wolfgang Viechtbauer

Research Synthesis Methods, Early View

DOI: 10.1002/jrsm.1218

thumbnail image: Free access to new paper on estimation of the biserial correlation

Meta-analyses are often used to synthesize the findings of studies examining the correlational relationship between two continuous variables. When only dichotomous measurements are available for one of the two variables, the biserial correlation coefficient can be used to estimate the product–moment correlation between the two underlying continuous variables. Unlike the point-biserial correlation coefficient, biserial correlation coefficients can therefore be integrated with product–moment correlation coefficients in the same meta-analysis. The present article describes the estimation of the biserial correlation coefficient for meta-analytic purposes and reports simulation results comparing different methods for estimating the coefficient's sampling variance. The findings indicate that commonly employed methods yield inconsistent estimates of the sampling variance across a broad range of research situations. In contrast, consistent estimates can be obtained using two methods that appear to be unknown in the meta-analytic literature. A variance-stabilizing transformation for the biserial correlation coefficient is described that allows for the construction of confidence intervals for individual coefficients with close to nominal coverage probabilities in most of the examined conditions.

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