The Analysis of Circumplex Data Using Circular Statistics

One type of circular data in the social sciences is data from so-called circumplex measurement instruments. In my research on circular data I have used data from the interpersonal circumplex as illustrations and argued for the use of circular (or more general, cylindrical) methods for the analysis of these data.

Regression

A Bayesian PN regression model for the analysis of teacher behavior data from an interpersonal circumplex:

• Cremers, J., Mainhard, M.T. & Klugkist, I. (2018). Assessing a Bayesian Embedding Approach to Circular Regression Models. Methodology, 14, 69-81. [Full-text]

Mixed-effects

Application of a Bayesian PN mixed-effects model to several repeated measures datasets from an interpersonal circumplex. The focus lies on how a circular model enriches our understanding of this type of data and new tools are introduced to make the interpretation of effects from a PN mixed-effects model easier.

• Cremers, J., Pennings, H.J.M., Mainhard, M.T. & Klugkist, I. (in press) Circular Modelling of Circumplex Measurements for Interpersonal Behavior. Assessment. [Full-text]

Application of a PN mixed-effects model to investigate the association between teacher-student interpersonal relations and instructional expertise:

• van der Lans, R.M, Cremers, J., Klugkist, I. & Zwart, R. (2020) How you say what you say: Teachers’ interpersonal relations and their instructional quality. Studies in Educational Evaluation, 66 [Full-text]

Cylindrical models

Regression extension of four models for cylindrical data that are subsequently fit to circumplex data:

• Cremers, J., Pennings, H.J.M & Ley, C. (2020) Regression Models for Cylindrical Data in Psychology. Multivariate Behavioral Analysis, 55(6), 910-925. [Full-text]