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Assessing Equality of Means Using the Overlap of Range-Preserving Confidence Intervals
Stockholm University, Faculty of Social Sciences, Department of Psychology.ORCID iD: 0000-0003-4680-1287
Number of Authors: 22016 (English)In: American Statistician, ISSN 0003-1305, E-ISSN 1537-2731, Vol. 70, no 4, p. 325-334Article in journal (Refereed) Published
Abstract [en]

Hypothesis testing, procedures where equality of means is assessed at a prespecified level based on the (non-)overlap of confidence intervals are discussed. Assessing statistical significance via the (non-)overlap of two confidence intervals with an appropriate confidence level provides a simple and effective way of visually understanding statistical results. This article extends previous approaches by considering range preserving confidence intervals where the values in such intervals are in the allowable range of the paranieter of interest. To obtain reliable procedures, appropriate effective degrees of freedom are suggested by considering the Welch-Satterthwaite equation for both independent two-sample and paired-sample cases. The proposed procedures also allow users to express results in terms of commonly used scale-free effect sizes, which are highly useful for interpreting parameters of interest. Simulation results suggest that the proposed procedures may be robust to unequal or small sample sizes, nonnormal distributions, heterogeneous variances, and various degrees of correlation. A real-life application from a study in cognitive psychology illustrates the effectiveness of the proposed procedures.

Place, publisher, year, edition, pages
2016. Vol. 70, no 4, p. 325-334
Keywords [en]
Effect size, Two-sample problem, Visualization, Welch-Satterthwaite equation
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-174679DOI: 10.1080/00031305.2016.1200487ISI: 000389736000001OAI: oai:DiVA.org:su-174679DiVA, id: diva2:1367402
Available from: 2019-11-04 Created: 2019-11-04 Last updated: 2019-11-04Bibliographically approved

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