On Equivalence between a Partial Credit Item and a Set of Independent Rasch Binary Items
- 1 March 1994
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 59 (1) , 111-119
- https://doi.org/10.1007/bf02294270
Abstract
Given a Masters partial credit item with n known step difficulties, conditions are stated for the existence of a set of (locally) independent Rasch binary items such that their raw score and the partial credit raw score have identical probability density functions. The conditions are those for the existence of n positive values with predetermined elementary symmetric functions and include the requirement that the n step difficulties form an increasing sequence.Keywords
This publication has 14 references indexed in Scilit:
- A Generalized Partial Credit Model: Application of an EM AlgorithmApplied Psychological Measurement, 1992
- Evaluation of Procedure‐Based Scoring for Hands‐On Science AssessmentJournal of Educational Measurement, 1992
- Using Performance Assessment for Accountability PurposesEducational Measurement: Issues and Practice, 1992
- On the Sampling Theory Roundations of Item Response Theory ModelsPsychometrika, 1990
- Fitting a Polytomous Item Response Model to Likert-Type DataApplied Psychological Measurement, 1990
- A Latent-Trait Model for Items with Response Dependencies: Implications for Test Construction and AnalysisPublished by Elsevier ,1985
- A Rasch Model for Partial Credit ScoringPsychometrika, 1982
- A Rating Formulation for Ordered Response CategoriesPsychometrika, 1978
- Estimating Item Parameters and Latent Ability when Responses are Scored in Two or More Nominal CategoriesPsychometrika, 1972
- An algorithm with guaranteed convergence for finding a zero of a functionThe Computer Journal, 1971