Within Groups Designs: Inferences Based on A Robust Nonparametric Measure of Effect Size

Rand R. Wilcox ()
Additional contact information
Rand R. Wilcox: University of Southern California

Sankhya B: The Indian Journal of Statistics, 2023, vol. 85, issue 2, No 4, 330-343

Abstract: Abstract The paper deals with a robust, projection-type measure of effect size when comparing $$J>1$$ J > 1 dependent groups. The measure of effect size is scale invariant and does not assume or require that the underlying multivariate distribution is elliptically contoured. By design the measure of effect size is equal to zero when the corresponding measures of location are equal. A simple method is suggested for testing the hypothesis that this effect size is zero. The method is readily extended to comparing K-variate distributions associated with two independent groups. One of the main goal is to report simulation results on how well the method performs in terms of controlling the Type I error probability. The method, when comparing independent groups, is used to reveal new insights into the connection between depression and cortisol levels.

Keywords: Robust methods; Effect size; Heteroscedasticity; Projection distance; ANOVA; Cortisol; Depression; C12; C18; I31 (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13571-023-00311-x Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sankhb:v:85:y:2023:i:2:d:10.1007_s13571-023-00311-x

Ordering information: This journal article can be ordered from
http://www.springer.com/statistics/journal/13571

DOI: 10.1007/s13571-023-00311-x

Access Statistics for this article

Sankhya B: The Indian Journal of Statistics is currently edited by Dipak Dey

More articles in Sankhya B: The Indian Journal of Statistics from Springer, Indian Statistical Institute
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().