Some additional remarks on statistical properties of Cohen's d in the presence of covariates
Gross J, Möller AC (2024)
Statistical Papers .
Zeitschriftenaufsatz
| E-Veröff. vor dem Druck | Englisch
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Autor*in
Gross, Jürgen;
Möller, Annette ChristineUniBi
Abstract / Bemerkung
The size of the effect of the difference in two groups with respect to a variable of interest may be estimated by the classical Cohen's d. A recently proposed generalized estimator allows conditioning on further independent variables within the framework of a linear regression model. In this note, it is demonstrated how unbiased estimation of the effect size parameter together with a corresponding standard error may be obtained based on the non-central t distribution. The portrayed estimator may be considered as a natural generalization of the unbiased Hedges' g. In addition, confidence interval estimation for the unknown parameter is demonstrated by applying the so-called inversion confidence interval principle. The regarded properties collapse to already known ones in case of absence of any additional independent variables. The stated remarks are illustrated with a publicly available data set.
Stichworte
Effect size;
Cohen's d;
Linear regression;
Non-central t distribution;
Confidence interval
Erscheinungsjahr
2024
Zeitschriftentitel
Statistical Papers
ISSN
0932-5026
eISSN
1613-9798
Page URI
https://pub.uni-bielefeld.de/record/2986291
Zitieren
Gross J, Möller AC. Some additional remarks on statistical properties of Cohen's d in the presence of covariates. Statistical Papers . 2024.
Gross, J., & Möller, A. C. (2024). Some additional remarks on statistical properties of Cohen's d in the presence of covariates. Statistical Papers . https://doi.org/10.1007/s00362-023-01527-9
Gross, Jürgen, and Möller, Annette Christine. 2024. “Some additional remarks on statistical properties of Cohen's d in the presence of covariates”. Statistical Papers .
Gross, J., and Möller, A. C. (2024). Some additional remarks on statistical properties of Cohen's d in the presence of covariates. Statistical Papers .
Gross, J., & Möller, A.C., 2024. Some additional remarks on statistical properties of Cohen's d in the presence of covariates. Statistical Papers .
J. Gross and A.C. Möller, “Some additional remarks on statistical properties of Cohen's d in the presence of covariates”, Statistical Papers , 2024.
Gross, J., Möller, A.C.: Some additional remarks on statistical properties of Cohen's d in the presence of covariates. Statistical Papers . (2024).
Gross, Jürgen, and Möller, Annette Christine. “Some additional remarks on statistical properties of Cohen's d in the presence of covariates”. Statistical Papers (2024).
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