Assessing a Bayesian Embedding Approach to Circular Regression Models

Jolien Cremers*, Tim Mainhard, Irene Klugkist

*Corresponding author for this work

    Research output: Contribution to journalArticleAcademicpeer-review

    4 Citations (Scopus)
    79 Downloads (Pure)

    Abstract

    Circular data is different from linear data and its analysis also requires methods different from conventional methods. In this study a Bayesian embedding approach to estimating circular regression models is investigated, by means of simulation studies, in terms of performance, efficiency, and flexibility. A new Markov chain Monte Carlo (MCMC) sampling method is proposed and contrasted to an existing method. An empirical example of a regression model predicting teachers' scores on the interpersonal circumplex will be used throughout. Performance and efficiency are better for the newly proposed sampler and reasonable to good in most situations. Furthermore, the method in general is deemed very flexible. Additional research should be done that provides an overview of what circular data looks like in practice, investigates the interpretation of the circular effects and examines how we might conduct a way of hypothesis testing or model checking for the embedding approach.

    Original languageEnglish
    Pages (from-to)69-81
    Number of pages13
    JournalMethodology
    Volume14
    Issue number2
    DOIs
    Publication statusPublished - 2018

    Keywords

    • Bayesian methods
    • Circular data
    • interpersonal circumplex
    • regression

    Fingerprint

    Dive into the research topics of 'Assessing a Bayesian Embedding Approach to Circular Regression Models'. Together they form a unique fingerprint.

    Cite this