Journal article

A primer on the understanding, use, and calculation of confidence intervals that are based on central and noncentral distributions

G Cumming, S Finch

Educational and Psychological Measurement | Published : 2001

Abstract

Reform of statistical practice in the social and behavioral sciences requires wider use of confidence intervals (CIs), effect size measures, and meta-analysis. The authors discuss four reasons for promoting use of CIs: They (a) are readily interpretable, (b) are linked to familiar statistical significance tests, (c) can encourage meta-analytic thinking, and (d) give information about precision. The authors discuss calculation of CIs for a basic standardized effect size measure, Cohen's δ (also known as Cohen's d), and contrast these with the familiar CIs for original score means. CIs for δ require use of noncentral t distributions, which the authors apply also to statistical power and simple..

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University of Melbourne Researchers

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