Negligible interaction test for continuous predictors
- 19 February 2021
- journal article
- research article
- Published by Taylor & Francis Ltd in Journal of Applied Statistics
- Vol. 49 (8), 2001-2015
- https://doi.org/10.1080/02664763.2021.1887102
Abstract
Behavioral science researchers are often interested in whether there is negligible interaction among continuous predictors of an outcome variable. For example, a researcher might be interested in demonstrating that the effect of perfectionism on depression is very consistent across age. In this case, the researcher is interested in assessing whether the interaction between the predictors is too small to be meaningful. Unfortunately, most researchers address the above research question using a traditional association-based null hypothesis test (e.g. regression) where their goal is to fail to reject the null hypothesis of no interaction. Common problems with traditional tests are their sensitivity to sample size and their opposite (and hence inappropriate) hypothesis setup for finding a negligible interaction effect. In this study, we investigated a method for testing for negligible interaction between continuous predictors using unstandardized and standardized regression-based models and equivalence testing. A Monte Carlo study provides evidence for the effectiveness of the equivalence-based test relative to traditional approaches.Keywords
Funding Information
- Social Sciences and Humanities Research Council of Canada (435-2016-1057)
This publication has 28 references indexed in Scilit:
- Bayes factor approaches for testing interval null hypotheses.Psychological Methods, 2011
- Equivalence and Noninferiority Testing in Regression Models and Repeated-Measures DesignsAnesthesia & Analgesia, 2011
- Detecting a lack of association: An equivalence testing approachBritish Journal of Mathematical and Statistical Psychology, 2010
- Recommendations for applying tests of equivalenceJournal of Clinical Psychology, 2003
- Equivalence confidence intervals for two-group comparisons of means.Psychological Methods, 1998
- Bayesian methods for assessing importance of effects.Psychological Bulletin, 1996
- Using significance tests to evaluate equivalence between two experimental groups.Psychological Bulletin, 1993
- A comparison of the Two One-Sided Tests Procedure and the Power Approach for assessing the equivalence of average bioavailabilityJournal of Pharmacokinetics and Biopharmaceutics, 1987
- A new procedure for testing equivalence in comparative bioavailability and other clinical trialsCommunications in Statistics - Theory and Methods, 1983
- Robustness?British Journal of Mathematical and Statistical Psychology, 1978