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A Note on the Item Information Function of the Four-Parameter Logistic Model

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Title: A Note on the Item Information Function of the Four-Parameter Logistic Model
Language: English
Authors: Magis, David
Source: Applied Psychological Measurement. Jun 2013 37(4):304-315.
Availability: SAGE Publications. 2455 Teller Road, Thousand Oaks, CA 91320. Tel: 800-818-7243; Tel: 805-499-9774; Fax: 800-583-2665; e-mail: journals@sagepub.com; Web site: http://sagepub.com
Peer Reviewed: Y
Physical Description: PDF
Page Count: 12
Publication Date: 2013
Document Type: Journal Articles
Reports - Research
Descriptors: Item Response Theory, Models, Statistical Analysis, Algebra
DOI: 10.1177/0146621613475471
ISSN: 0146-6216
Abstract: This article focuses on four-parameter logistic (4PL) model as an extension of the usual three-parameter logistic (3PL) model with an upper asymptote possibly different from 1. For a given item with fixed item parameters, Lord derived the value of the latent ability level that maximizes the item information function under the 3PL model. The purpose of this article 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. (Contains 1 table and 2 figures.)
Abstractor: As Provided
Number of References: 24
Entry Date: 2013
Accession Number: EJ1007406
Database: ERIC
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  Data: This article focuses on four-parameter logistic (4PL) model as an extension of the usual three-parameter logistic (3PL) model with an upper asymptote possibly different from 1. For a given item with fixed item parameters, Lord derived the value of the latent ability level that maximizes the item information function under the 3PL model. The purpose of this article 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. (Contains 1 table and 2 figures.)
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