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: | |
| 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 |
| 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.) |
|---|---|
| ISSN: | 0146-6216 |
| DOI: | 10.1177/0146621613475471 |
