A Time-Varying Dynamic Partial Credit Model to Analyze Polytomous and Multivariate Time Series Data

Dados Bibliográficos

ID21363076
AutoresSebastian Castro-Alvarez (0000-0002-1326-0827, University of Groningen, autor correspondente), Laura F Bringmann (0000-0002-8091-9935, University of Groningen), Rob R Meijer (0000-0001-5368-992X, University of Groningen), Jorge Tendeiro (0000-0003-1660-3642, Hiroshima University)
Ano2024
Volume59
Fascículo1
Páginas78-97
Data de publicação2024-01-02
Peer ReviewedSim
Open AccessSim
TipoARTICLE
PeriódicoMultivariate Behavioral Research (JOURNAL)
Identificadores do periódicoISSN: 0027-3171 • E-ISSN: 1532-7906
EditoraInforma UK Limited (PUBLISHER • GB)
DOI10.1080/00273171.2023.2214787
PMID37318274
OpenAlexW4380730283
IdiomaEN
Citações recebidas2
Referências citadas49

The accessibility to electronic devices and the novel statistical methodologies available have allowed researchers to comprehend psychological processes at the individual level. However, there are still great challenges to overcome as, in many cases, collected data are more complex than the available models are able to handle. For example, most methods assume that the variables in the time series are measured on an interval scale, which is not the case when Likert-scale items were used. Ignoring the scale of the variables can be problematic and bias the results. Additionally, most methods also assume that the time series are stationary, which is rarely the case. To tackle these disadvantages, we propose a model that combines the partial credit model (PCM) of the item response theory framework and the time-varying autoregressive model (TV-AR), which is a popular model used to study psychological dynamics. The proposed model is referred to as the time-varying dynamic partial credit model (TV-DPCM), which allows to appropriately analyze multivariate polytomous data and nonstationary time series. We test the performance and accuracy of the TV-DPCM in a simulation study. Lastly, by means of an example, we show how to fit the model to empirical data and interpret the results

Autoregressive integrated moving average · Autoregressive model · Data mining · Econometrics · Item response theory · Machine learning · Multivariate statistics · Polytomous Rasch model · Psychometrics · Scale (ratio) · Series (stratigraphy) · STAR model · Statistics · Time series · Advanced Statistical Modeling Techniques · Computer Science · Innovation Diffusion and Forecasting · Mathematics · Mental Health Research Topics