Journal article
Interval Estimation Procedures for True Scores of a Test Composed of Polytomous Items: An Application of the Multinomial Error Model
Psychological methods, Vol.26(3), pp.343-356
06/01/2021
DOI: 10.1037/met0000338
PMID: 32852982
Abstract
When a person takes alternative forms of the same test across replications of the testing procedure, the test taker's observed scores on the alternative forms are rarely identical. In educational and psychological measurement, inconsistencies in a test taker's scores that are irrelevant to the construct being measured are attributed to errors of measurement. Typically, errors of measurement are summarized as the standard deviation of a test taker's observed scores over replication of the same testing procedure. Assuming that errors of measurement follow a multinomial distribution (i.e., multinomial error model), the main goal of this study was to propose two interval estimation procedures, which are referred to as the score-like and Perks procedures, for true scores of a test with polytomous items. The performance of the score-like and Perks procedures was compared with that of two normal approximation procedures under the multinomial error model and a procedure based on item response theory (IRT) through simulation. In general, the score-like and Perks procedures outperformed the other three procedures when data were generated under the multinomial error theory framework and showed reasonable results when data were generated under the IRT framework.
Details
- Title: Subtitle
- Interval Estimation Procedures for True Scores of a Test Composed of Polytomous Items: An Application of the Multinomial Error Model
- Creators
- Kyung Yong Kim - Univ North Carolina Greensboro, Dept Educ Res Methodol, 1400 Spring Garden St, Greensboro, NC 27412 USASeohee Park - University of IowaWon-Chan Lee - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Psychological methods, Vol.26(3), pp.343-356
- Publisher
- Amer Psychological Assoc
- DOI
- 10.1037/met0000338
- PMID
- 32852982
- ISSN
- 1082-989X
- eISSN
- 1939-1463
- Number of pages
- 14
- Language
- English
- Date published
- 06/01/2021
- Academic Unit
- Psychological and Quantitative Foundations
- Record Identifier
- 9984371114302771
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