One direction? A tutorial for circular data analysis using R with examples in cognitive psychology

J Cremers, I Klugkist - Frontiers in psychology, 2018 - frontiersin.org
Circular data is data that is measured on a circle in degrees or radians. It is fundamentally
different from linear data due to its periodic nature (0°= 360°). Circular data arises in a large …

Recent advances in directional statistics

A Pewsey, E García-Portugués - Test, 2021 - Springer
Mainstream statistical methodology is generally applicable to data observed in Euclidean
space. There are, however, numerous contexts of considerable scientific interest in which …

Bayesian estimation and hypothesis tests for a circular generalized linear model

K Mulder, I Klugkist - Journal of mathematical psychology, 2017 - Elsevier
Motivated by a study from cognitive psychology, we develop a Generalized Linear Model for
circular data within the Bayesian framework, using the von Mises distribution. Although …

Identifying density‐based local outliers in medical multivariate circular data

AH Abuzaid - Statistics in medicine, 2020 - Wiley Online Library
This article is considered to be the first to deal with the problem of outlier‐detection in
multivariate circular data. The proposed algorithm is an extension of the Local Outlier Factor …

Analyzing longitudinal circular data by projected normal models: a semi-parametric approach based on finite mixture models

A Maruotti - Environmental and Ecological Statistics, 2016 - Springer
The analysis of circular data has been recently the focus of a wide range of literature, with
the general objective of providing reliable parameter estimates in the presence of …

A time-dependent extension of the projected normal regression model for longitudinal circular data based on a hidden Markov heterogeneity structure

A Maruotti, A Punzo, G Mastrantonio… - … Research and Risk …, 2016 - Springer
The modelling of animal movement is an important ecological and environmental issue. It is
well-known that animals change their movement patterns over time, according to observable …

Statistical modeling of directional data using a robust hierarchical von mises distribution model: perspectives for wind energy

S Benlakhdar, M Rziza, ROH Thami - Computational Statistics, 2022 - Springer
For describing wind direction, a variety of statistical distributions has been suggested that
provides information about the wind regime at a particular location and aids the …

Circular modelling of circumplex measurements for interpersonal behavior

J Cremers, HJM Pennings, T Mainhard… - …, 2021 - journals.sagepub.com
This article describes a new way to analyze data from the interpersonal circumplex (IPC) for
interpersonal behavior. Instead of analyzing Agency and Communion separately or …

A circular nonhomogeneous hidden Markov field for the spatial segmentation of wildfire occurrences

J Ameijeiras‐Alonso, F Lagona, M Ranalli… - …, 2019 - Wiley Online Library
Motivated by studies of wildfire seasonality, we propose a nonhomogeneous hidden Markov
random field to model the spatial distribution of georeferenced fire occurrences during the …

A random‐effects model for clustered circular data

LP Rivest, S Kato - Canadian Journal of Statistics, 2019 - Wiley Online Library
This article considers a circular regression model for clustered data, where both the cluster
effects and the regression errors have von Mises distributions. It involves β, a vector of …