Decomposition of a Rasch Partial Credit Item into Independent Binary and Indecomposable Trinary Items
- 1 March 1996
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 61 (1) , 31-39
- https://doi.org/10.1007/bf02296957
Abstract
For each Rasch (Masters) partial credit item, there exists a set of independent Rasch binary and indecomposable trinary items for which the sum of the scores and the partial credit score have identical probability density functions. If each indecomposable trinary item is further expressed as the sum of two binary items, then the binary items are positively dependent and cannot be both of the Rasch type.Keywords
This publication has 11 references indexed in Scilit:
- A Comparison of Equal Percentile and Partial Credit Equatings for Performance-Based Assessments Composed of Free-Response ItemsJournal of Educational Measurement, 1994
- On Equivalence between a Partial Credit Item and a Set of Independent Rasch Binary ItemsPsychometrika, 1994
- A Generalized Partial Credit Model: Application of an EM AlgorithmApplied Psychological Measurement, 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
- Detecting and Interpreting Local Item Dependence Using a Fannily of Rasch ModelsApplied Psychological Measurement, 1988
- A Response Model for Multiple Choice ItemsPsychometrika, 1984
- 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