Item Response Theory for Scores on Tests Including Polytomous Items with Ordered Responses
Open Access
- 1 March 1995
- journal article
- Published by SAGE Publications in Applied Psychological Measurement
- Vol. 19 (1), 39-49
- https://doi.org/10.1177/014662169501900105
Abstract
Item response theory (IRT) provides procedures for scoring tests including any combination of rated constructed-response and keyed multiple-choice items, in that each response pattern is associated with some modal or expected a posteriori estimate of trait level. However, various considerations that frequently arise in large-scale testing make response-pattern scoring an undesirable solution. Methods are described based on IRT that pro-vide scaled scores, or estimates of trait level, for each summed score for rated responses, or for combinations of rated responses and multiple-choice items. These methods may be used to combine the useful scale properties of IR'r-based scores with the practical virtues of a scale based on a summed score for each examinee. Index terms: graded response model, item response theory, ordered responses, polytomous models, scaled scores.Keywords
This publication has 8 references indexed in Scilit:
- Kernel smoothing approaches to nonparametric item characteristic curve estimationPsychometrika, 1991
- LISP‐STAT: An Object‐Oriented Environment for Statistical Computing and Dynamic GraphicsWiley Series in Probability and Statistics, 1990
- The essential process in a family of measurement modelsPsychometrika, 1984
- Comparison of IRT True-Score and Equipercentile Observed-Score "Equatings"Applied Psychological Measurement, 1984
- OBTAINING MAXIMUM LIKELIHOOD TRAIT ESTIMATES FROM NUMBER-CORRECT SCORES FOR THE THREE-PARAMETER LOGISTIC MODELJournal of Educational Measurement, 1984
- Adaptive EAP Estimation of Ability in a Microcomputer EnvironmentApplied Psychological Measurement, 1982
- Numerical Quadrature and Solution of Ordinary Differential EquationsPublished by Springer Science and Business Media LLC ,1974
- The Relation of Test Score to the Trait Underlying the TestEducational and Psychological Measurement, 1953