# Variational Estimation for Multidimensional Generalized Partial Credit Model

arXiv: https://arxiv.org/abs/2401.13090 · HTML: https://mlsanity.com/paper/2401.13090/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 23 Jan 2024.

## Built on by (most cited first, 1 of 1)

- [A Latent Variable Framework for Scaling Laws in Large Language Models](https://mlsanity.com/paper/2512.06553/) (2025)

## Abstract (arXiv)

Multidimensional item response theory (MIRT) models have generated increasing interest in the psychometrics literature. Efficient approaches for estimating MIRT models with dichotomous responses have been developed, but constructing an equally efficient and robust algorithm for polytomous models has received limited attention. To address this gap, this paper presents a novel Gaussian variational estimation algorithm for the multidimensional generalized partial credit model (MGPCM). The proposed algorithm demonstrates both fast and accurate performance, as illustrated through a series of simulation studies and two real data analyses.