Confidence Intervals for Ratios of Means and Medians

Douglas G. Bonett and Robert M. Price
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Douglas G. Bonett: 8787University of California, Santa Cruz
Robert M. Price: 4154East Tennessee State University

Journal of Educational and Behavioral Statistics, 2020, vol. 45, issue 6, 750-770

Abstract: In studies where the response variable is measured on a ratio scale, a ratio of means or medians provides a standardized measure of effect size that is an alternative to the popular standardized mean difference. Confidence intervals for ratios of population means and medians in independent-samples designs and paired-samples designs are proposed as supplements to the independent-samples t test and paired-samples t test. The performance of the proposed confidence intervals are evaluated in a simulation study. The proposed confidence interval methods are extended to the case of a 2 × m factorial design that includes propensity score stratification and meta-analysis as special cases. R functions that implement the recommended confidence intervals are provided in the Supplemental Material file, available in the online version of this article, and are illustrated with several examples.

Keywords: distribution-free; skewed data effect size; independent-samples designs; paired-samples designs; factorial designs; meta-analysis (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:45:y:2020:i:6:p:750-770

DOI: 10.3102/1076998620934125

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