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Performing Contrast Analysis in Factorial Designs: From NHST to Confidence Intervals and Beyond
Stockholm University, Faculty of Social Sciences, Department of Psychology, Perception and psychophysics.
Stockholm University, Faculty of Social Sciences, Department of Psychology, Perception and psychophysics.
2017 (English)In: Educational and Psychological Measurement, ISSN 0013-1644, E-ISSN 1552-3888, Vol. 77, no 4, 690-715 p.Article in journal (Refereed) Published
Abstract [en]

Because of the continuing debates about statistics, many researchers may feel confused about how to analyze and interpret data. Current guidelines in psychology advocate the use of effect sizes and confidence intervals (CIs). However, researchers may be unsure about how to extract effect sizes from factorial designs. Contrast analysis is helpful because it can be used to test specific questions of central interest in studies with factorial designs. It weighs several means and combines them into one or two sets that can be tested with t tests. The effect size produced by a contrast analysis is simply the difference between means. The CI of the effect size informs directly about direction, hypothesis exclusion, and the relevance of the effects of interest. However, any interpretation in terms of precision or likelihood requires the use of likelihood intervals or credible intervals (Bayesian). These various intervals and even a Bayesian t test can be obtained easily with free software. This tutorial reviews these methods to guide researchers in answering the following questions: When I analyze mean differences in factorial designs, where can I find the effects of central interest, and what can I learn about their effect sizes?

Place, publisher, year, edition, pages
2017. Vol. 77, no 4, 690-715 p.
Keyword [en]
analysis of variance, contrast analysis, confidence interval, null hypothesis significance testing, Bayesian analysis
National Category
Psychology
Research subject
Psychology
Identifiers
URN: urn:nbn:se:su:diva-145500DOI: 10.1177/0013164416668950ISI: 000405849500009OAI: oai:DiVA.org:su-145500DiVA: diva2:1129845
Note

Funded in part by grant 2015-01181 from the Swedish Research Council.

Available from: 2017-08-07 Created: 2017-08-07 Last updated: 2017-08-21Bibliographically approved

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Wiens, StefanNilsson, Mats E.
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CiteExportLink to record
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