A Mann-Whitney type effect measure of interaction for factorial designs
(2017) COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. 46(22). p.11243-11260- 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.
Please use this url to cite or link to this publication:
http://hdl.handle.net/1854/LU-8161041
- author
- Jan De Neve UGent and Olivier Thas UGent
- organization
- year
- 2017
- type
- journalArticle (original)
- publication status
- published
- subject
- keyword
- 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
- journal title
- COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
- Commun. Stat.-Theory Methods
- volume
- 46
- issue
- 22
- pages
- 11243 - 11260
- Web of Science type
- Article
- Web of Science id
- 000412555500024
- ISSN
- 0361-0926
- DOI
- 10.1080/03610926.2016.1263739
- language
- English
- UGent publication?
- yes
- classification
- A1
- copyright statement
- I don't know the status of the copyright for this publication
- id
- 8161041
- handle
- http://hdl.handle.net/1854/LU-8161041
- date created
- 2016-11-21 09:38:56
- date last changed
- 2018-02-22 10:08:42
@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},
keyword = {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},
}
- Chicago
- 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.
- APA
- De Neve, Jan, & Thas, O. (2017). A Mann-Whitney type effect measure of interaction for factorial designs. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 46(22), 11243–11260.
- 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.
- MLA
- De Neve, Jan, and Olivier Thas. “A Mann-Whitney Type Effect Measure of Interaction for Factorial Designs.” COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 46.22 (2017): 11243–11260. Print.