A sequential exploratory diagnostic model using a Pólya-gamma data augmentation strategy

psychometrics
journal
Authors

Jimenez, A.

Balamuta, J.J.

Culpepper, S.A.

Published

January 1, 2023

Doi

10.1111/bmsp.12307

Summary

This paper proposes a sequential exploratory diagnostic model for ordered response data, extending the Pólya-gamma data augmentation strategy to handle multiple response categories through a logit-link at the category level. The approach uses efficient Gibbs sampling for estimation and fills a gap in cognitive diagnostic modeling by supporting ordinal (not just binary) item responses without requiring the latent structure to be specified in advance.

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