A comparative simulation of multiple testing procedures in circular data problems

ABSTRACT

Bonferroni correction procedures are commonly used for performing multiple hypothesis tests in linear data problems. Moreover, several improved Bonferroni type procedures have been proposed and shown that they attain a type-I error rate $\left(\alpha \right)$ better than the classical Bonferroni approach, but all of the studies are considered for linear data problems. The circular data analysis is a developing field of statistics that lacks similar studies, and also lacks computer programs to implement Bonferroni procedures. The aim of this study is to perform a comparative study of improved Bonferroni procedures and also to provide a computer program in R that performs classical and improved Bonferroni procedures for circular data problems.

KEYWORDS:

• Bonferroni correction
• improved Bonferroni
• circular data
• Simes
• Holm
• Hochberg
• Hommel

Acknowledgements

The authors would like to thank the editor and the referees for their suggestions and corrections that have greatly improved this manuscript.

Disclosure statement

No potential conflict of interest was reported by the authors.