Modeling Polytomous Item Responses Using Simultaneously Estimated Multinomial Logistic Regression Models

Carolyn Jane Anderson, Jay Verkuilen, Buddy L. Peyton

Research output: Contribution to journalArticle

Abstract

Survey items with multiple response categories and multiple-choice test questions are ubiquitous in psychological and educational research. We illustrate the use of log-multiplicative association (LMA) models that are extensions of the well-known multinomial logistic regression model for multiple dependent outcome variables to reanalyze a set of items from a large political psychology survey. In particular, LMA models are shown to provide a useful analysis of items when the proper scoring rule for them is unclear. They also clearly reveal the performance of the items when instructions were altered to suppress "Don't know" responses. LMA models can be fit rapidly using commonly available software.

Original languageEnglish (US)
Pages (from-to)422-452
Number of pages31
JournalJournal of Educational and Behavioral Statistics
Volume35
Issue number4
DOIs
StatePublished - Dec 1 2010

Keywords

  • "don't know" responses
  • Bock's nominal response model
  • item response theory
  • log-multiplicative association models
  • multidimensional latent variable modeling
  • nominal data

ASJC Scopus subject areas

  • Education
  • Social Sciences (miscellaneous)

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