A study on Freeman-Tukey test statistic under the symmetry model for square contingency tables

Gokcen Altun

doi:10.17776/csj.835165

EN

A study on Freeman-Tukey test statistic under the symmetry model for square contingency tables

Abstract

The symmetry model is the basic model in the analysis of square contingency tables. Multiple test statistics have been developed for the goodness of fit test. Freeman-Tukey test statistics is appropriate to be used in large samples. However, the required sample size to use the Freeman-Tukey test statistics is not clear. In this paper, the asymptotic properties of Freeman-Tukey test statistic are discussed via extensive Monte-Carlo simulation study. The Freeman-Tukey test statistic is compared with members of power-divergence family test statistic under the symmetry model. The results of simulation study are evaluated based on the Type-I error and power of a test. The results of simulation study and artificial data study show that Freeman-Tukey’s T^2 test statistic does not converge to chi-squared distribution for both sparse and non-sparse square contingency tables.

Keywords

References

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Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Gokcen Altun ^*
0000-0003-4311-6508
Türkiye

Publication Date

June 30, 2021

Submission Date

December 2, 2020

Acceptance Date

March 31, 2021

Published in Issue

Year 2021 Volume: 42 Number: 2

DOI

https://doi.org/10.17776/csj.835165

IZ

https://izlik.org/JA64WZ38FR

Cite

RIS / Bibtex

APA

Altun, G. (2021). A study on Freeman-Tukey test statistic under the symmetry model for square contingency tables. Cumhuriyet Science Journal, 42(2), 413-421. https://doi.org/10.17776/csj.835165

Cited By

The Most Powerful Member of the Power-Divergence Family for the Independence Model in Contingency Tables

Fundamental Journal of Mathematics and Applications

https://doi.org/10.33401/fujma.1432348

Öz

A study on Freeman-Tukey test statistic under the symmetry model for square contingency tables

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

The Most Powerful Member of the Power-Divergence Family for the Independence Model in Contingency Tables