A Mann-Whitney type effect measure of interaction for factorial designs
- Author
- Jan De Neve (UGent) and Olivier Thas (UGent)
- Organization
- Abstract
- We propose a measure for interaction for factorial designs that is formulated in terms of a probability similar to the effect size of the Mann-Whitney test. It is shown how asymptotic confidence intervals can be obtained for the effect size and how a statistical test can be constructed. We further show how the test is related to the test proposed by Bhapkar and Gore [Sankhya A, 36:261-272 (1974)]. The results of a simulation study indicate that the test has good power properties and illustrate when the asymptotic approximations are adequate. The effect size is demonstrated on an example dataset.
- Keywords
- Factorial designs, interaction, probability of superiority, rank test, Wilcoxon-Mann-Whitney, INTUITIVE NONPARAMETRIC APPROACH, PROBABILISTIC INDEX, RANK-TESTS, CONFIDENCE-INTERVALS, 2-WAY LAYOUTS, HYPOTHESES, STATISTICS, SIZE, TRANSFORM, MEDICINE
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8161041
- MLA
- De Neve, Jan, and Olivier Thas. “A Mann-Whitney Type Effect Measure of Interaction for Factorial Designs.” COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, vol. 46, no. 22, 2017, pp. 11243–60, doi:10.1080/03610926.2016.1263739.
- APA
- De Neve, J., & Thas, O. (2017). A Mann-Whitney type effect measure of interaction for factorial designs. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 46(22), 11243–11260. https://doi.org/10.1080/03610926.2016.1263739
- Chicago author-date
- De Neve, Jan, and Olivier Thas. 2017. “A Mann-Whitney Type Effect Measure of Interaction for Factorial Designs.” COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 46 (22): 11243–60. https://doi.org/10.1080/03610926.2016.1263739.
- Chicago author-date (all authors)
- De Neve, Jan, and Olivier Thas. 2017. “A Mann-Whitney Type Effect Measure of Interaction for Factorial Designs.” COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 46 (22): 11243–11260. doi:10.1080/03610926.2016.1263739.
- Vancouver
- 1.De Neve J, Thas O. A Mann-Whitney type effect measure of interaction for factorial designs. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. 2017;46(22):11243–60.
- IEEE
- [1]J. De Neve and O. Thas, “A Mann-Whitney type effect measure of interaction for factorial designs,” COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, vol. 46, no. 22, pp. 11243–11260, 2017.
@article{8161041,
abstract = {{We propose a measure for interaction for factorial designs that is formulated in terms of a probability similar to the effect size of the Mann-Whitney test. It is shown how asymptotic confidence intervals can be obtained for the effect size and how a statistical test can be constructed. We further show how the test is related to the test proposed by Bhapkar and Gore [Sankhya A, 36:261-272 (1974)]. The results of a simulation study indicate that the test has good power properties and illustrate when the asymptotic approximations are adequate. The effect size is demonstrated on an example dataset.}},
author = {{De Neve, Jan and Thas, Olivier}},
issn = {{0361-0926}},
journal = {{COMMUNICATIONS IN STATISTICS-THEORY AND METHODS}},
keywords = {{Factorial designs,interaction,probability of superiority,rank test,Wilcoxon-Mann-Whitney,INTUITIVE NONPARAMETRIC APPROACH,PROBABILISTIC INDEX,RANK-TESTS,CONFIDENCE-INTERVALS,2-WAY LAYOUTS,HYPOTHESES,STATISTICS,SIZE,TRANSFORM,MEDICINE}},
language = {{eng}},
number = {{22}},
pages = {{11243--11260}},
title = {{A Mann-Whitney type effect measure of interaction for factorial designs}},
url = {{http://dx.doi.org/10.1080/03610926.2016.1263739}},
volume = {{46}},
year = {{2017}},
}
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