A note on the item information function of the four-parameter logistic model

Magis, David

doi:10.1177/0146621613475471

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Article (Scientific journals)

A note on the item information function of the four-parameter logistic model

Magis, David

2013 • In Applied Psychological Measurement, 37, p. 304-315

Peer Reviewed verified by ORBi

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https://hdl.handle.net/2268/137218

DOI
10.1177/0146621613475471

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Keywords :

Item response theory; Four-parameter lgistic model; Item information function; Maximization

Abstract :

[en] This paper focuses on four-parameter logistic (4PL) model (Barton & Lord, 1981) as an extension of the usual three-parameter logistic (3PL) model with an upper asymptote possibly different from one. For a given item with fixed item parameters, Lord (1980) derived the value of the latent ability level that maximizes the item information function under the 3PL model. The purpose of this paper is to extend this result to the 4PL model. A generic and algebraic method is developed for that purpose. The result is practically illustrated by an example and several potential applications of this result are outlined.

Disciplines :

Education & instruction

Author, co-author :

Magis, David ; Université de Liège - ULiège > Département d'éducation et formation > Psychométrie et édumétrie

Language :

English

Title :

A note on the item information function of the four-parameter logistic model

Alternative titles :

[fr] Une note sur la fonction d'information d'item du modèle logistique à quatre paramètres

Publication date :

2013

Journal title :

Applied Psychological Measurement

ISSN :

0146-6216

eISSN :

1552-3497

Publisher :

SAGE Publications

Volume :

Pages :

304-315

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 01 January 2013

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Bibliography

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