Nonparametric Polytomous IRT Models for Invariant Item Ordering, with Results for Parametric Models

The absence of the invariant item ordering (IIO) property in two nonparametric polytomous item response theory (IRT) models is discussed, and two nonparametric models are discussed that imply an IIO. Only two parametric polytomous IRT models are found to imply an IIO. A method is proposed to investi...

Full description

Saved in:
Bibliographic Details
Published in:Psychometrika 1998-06, Vol.63 (2), p.183-200
Main Authors: Sijtsma, Klaas, Hemker, Bas T
Format: Article
Language:English
Subjects:
Biological and medical sciences
Fundamental and applied biological sciences. Psychology
Item Response Theory
Nonparametric Statistics
Polytomous Items
Psychology. Psychoanalysis. Psychiatry
Psychology. Psychophysiology
Psychometrics. Statistics. Methodology
Statistics. Mathematics
Test Items
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The absence of the invariant item ordering (IIO) property in two nonparametric polytomous item response theory (IRT) models is discussed, and two nonparametric models are discussed that imply an IIO. Only two parametric polytomous IRT models are found to imply an IIO. A method is proposed to investigate whether an IIO is implied with empirical data. (SLD)
ISSN:0033-3123
1860-0980
DOI:10.1007/BF02294774