Don't Tie Yourself to an Onion: Don’t Tie Yourself to Assumptions of Normality

Maarten Marsman; Gunter Maris; Timo Bechger

doi:10.3990/3.9789036533744.ch8

Don't Tie Yourself to an Onion: Don’t Tie Yourself to Assumptions of Normality

Maarten Marsman, Gunter Maris, Timo Bechger

Faculty of Behavioural, Management and Social Sciences

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

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Abstract

A structural measurement model (Adams, Wilson, & Wu, 1997) consists of an item response theory model for responses conditional on ability and a structural model that describes the distribution of ability in the population. As a rule, ability is assumed to be normally distributed in the population. However, there are situations where there is reason to assume that the distribution of ability is nonnormal. In this paper, we show that nonnormal ability distributions are easily modeled in a Bayesian framework

Original language	English
Title of host publication	Psychometrics in Practice at RCEC
Editors	Theo J.H.M. Eggen, Bernard P. Veldkamp
Publisher	RCEC
Pages	103-114
ISBN (Print)	9789036533744
DOIs	https://doi.org/10.3990/3.9789036533744.ch8
Publication status	Published - 2012

Keywords

Item Response Theory
one-parameter logistic model
finite mixture
Markov chain Monte Carlo
plausible values
Bayes estimates
Gibbs sampler

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10.3990/3.9789036533744.ch8

Chapter_8Final published version, 287 KB

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KW - finite mixture

KW - Markov chain Monte Carlo

KW - plausible values

KW - Bayes estimates

KW - Gibbs sampler

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ER -

Don't Tie Yourself to an Onion: Don’t Tie Yourself to Assumptions of Normality

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Keywords

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