On the Relationship between ANOVA Main Effects and Average Treatment Effects

Graefe L, Hahn S, Mayer A (2022)
Multivariate Behavioral Research .

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
Download
Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!
Autor*in
Graefe, Linda; Hahn, Sonja; Mayer, AxelUniBi
Abstract / Bemerkung
We adopt a causal inference perspective to shed light into which ANOVA type of sums of squares (SS) should be used for testing main effects and whether main effects should be considered at all in the presence of interactions. We consider balanced, proportional and nonorthogonal designs, and models with and without interactions. When the design is balanced, we show that the average treatment effect is estimated by the main effects obtained by type I, II, and III sums of squares. In proportional designs, we show that the average treatment effect is estimated by the the type I and type II main effects, whereas type III SS yield biased estimates of the average treatment effect if there are interactions. When the design is nonorthogonal, ANOVA type I is always highly biased and ANOVA type II and III main effects are biased if there are interactions. We include a simulation study to illustrate the magnitude of the bias in estimating the average treatment effect across a variety of conditions, and provide recommendations for applied researchers.
Erscheinungsjahr
2022
Zeitschriftentitel
Multivariate Behavioral Research
eISSN
1532-7906
Page URI
https://pub.uni-bielefeld.de/record/2955569

Zitieren

Graefe L, Hahn S, Mayer A. On the Relationship between ANOVA Main Effects and Average Treatment Effects. Multivariate Behavioral Research . 2022.
Graefe, L., Hahn, S., & Mayer, A. (2022). On the Relationship between ANOVA Main Effects and Average Treatment Effects. Multivariate Behavioral Research . https://doi.org/10.1080/00273171.2022.2068122
Graefe, L., Hahn, S., and Mayer, A. (2022). On the Relationship between ANOVA Main Effects and Average Treatment Effects. Multivariate Behavioral Research .
Graefe, L., Hahn, S., & Mayer, A., 2022. On the Relationship between ANOVA Main Effects and Average Treatment Effects. Multivariate Behavioral Research .
L. Graefe, S. Hahn, and A. Mayer, “On the Relationship between ANOVA Main Effects and Average Treatment Effects”, Multivariate Behavioral Research , 2022.
Graefe, L., Hahn, S., Mayer, A.: On the Relationship between ANOVA Main Effects and Average Treatment Effects. Multivariate Behavioral Research . (2022).
Graefe, Linda, Hahn, Sonja, and Mayer, Axel. “On the Relationship between ANOVA Main Effects and Average Treatment Effects”. Multivariate Behavioral Research (2022).

Export

Markieren/ Markierung löschen
Markierte Publikationen

Open Data PUB

Web of Science

Dieser Datensatz im Web of Science®

Quellen

PMID: 35617441
PubMed | Europe PMC

Preprint: 10.31234/osf.io/u6hqg

Suchen in

Google Scholar