TY - JOUR
T1 - Assessment of fit of the time-varying dynamic partial credit model using the posterior predictive model checking method
AU - Castro-Alvarez, Sebastian
AU - Sinharay, Sandip
AU - Bringmann, Laura F
AU - Meijer, Rob R
AU - Tendeiro, Jorge N
N1 - Publisher Copyright:
© 2024 British Psychological Society.
PY - 2024/11
Y1 - 2024/11
N2 - Several new models based on item response theory have recently been suggested to analyse intensive longitudinal data. One of these new models is the time-varying dynamic partial credit model (TV-DPCM; Castro-Alvarez et al., Multivariate Behavioral Research, 2023, 1), which is a combination of the partial credit model and the time-varying autoregressive model. The model allows the study of the psychometric properties of the items and the modelling of nonlinear trends at the latent state level. However, there is a severe lack of tools to assess the fit of the TV-DPCM. In this paper, we propose and develop several test statistics and discrepancy measures based on the posterior predictive model checking (PPMC) method (PPMC; Rubin, The Annals of Statistics, 1984, 12, 1151) to assess the fit of the TV-DPCM. Simulated and empirical data are used to study the performance of and illustrate the effectiveness of the PPMC method.
AB - Several new models based on item response theory have recently been suggested to analyse intensive longitudinal data. One of these new models is the time-varying dynamic partial credit model (TV-DPCM; Castro-Alvarez et al., Multivariate Behavioral Research, 2023, 1), which is a combination of the partial credit model and the time-varying autoregressive model. The model allows the study of the psychometric properties of the items and the modelling of nonlinear trends at the latent state level. However, there is a severe lack of tools to assess the fit of the TV-DPCM. In this paper, we propose and develop several test statistics and discrepancy measures based on the posterior predictive model checking (PPMC) method (PPMC; Rubin, The Annals of Statistics, 1984, 12, 1151) to assess the fit of the TV-DPCM. Simulated and empirical data are used to study the performance of and illustrate the effectiveness of the PPMC method.
KW - autoregressive model
KW - model misfit
KW - partial credit model
KW - posterior predictive model checking
KW - psychological time series
KW - time-varying dynamic partial credit model
UR - http://www.scopus.com/inward/record.url?scp=85186398450&partnerID=8YFLogxK
U2 - 10.1111/bmsp.12339
DO - 10.1111/bmsp.12339
M3 - Article
C2 - 38379504
SN - 0007-1102
VL - 77
SP - 532
EP - 552
JO - British Journal of Mathematical and Statistical Psychology
JF - British Journal of Mathematical and Statistical Psychology
IS - 3
ER -