Marginal maximum likelihood estimation of item response theory (IRT) equating coefficients for the common‐examinee design
Bibliographic Data
| ID | 19277353 |
|---|---|
| Authors | Haruhiko Ogasawara (0000-0002-5029-2086, Otaru University of Commerce, corresponding author) |
| Year | 2001 |
| Volume | 43 |
| Issue | 2 |
| Pages | 72-82 |
| Publication date | 2001-03-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Japanese Psychological Research (JOURNAL) |
| Journal identifiers | ISSN: 0021-5368 • E-ISSN: 1468-5884 |
| Publisher | Wiley (PUBLISHER • GB) |
| DOI | 10.1111/1468-5884.00162 |
| OpenAlex | W2064371903 |
| Language | EN |
| References cited | 1 |
A method of estimating item response theory (IRT) equating coefficients by the common‐examinee design with the assumption of the two‐parameter logistic model is provided. The method uses the marginal maximum likelihood estimation, in which individual ability parameters in a common‐examinee group are numerically integrated out. The abilities of the common examinees are assumed to follow a normal distribution but with an unknown mean and standard deviation on one of the two tests to be equated. The distribution parameters are jointly estimated with the equating coefficients. Further, the asymptotic standard errors of the estimates of the equating coefficients and the parameters for the ability distribution are given. Numerical examples are provided to show the accuracy of the method
Distribution (mathematics) · Econometrics · Equating · Estimation · Item response theory · Mathematical analysis · Maximum likelihood · Psychometrics · Rasch model · Standard deviation · Standard error · Statistics · Advanced Statistical Methods and Models · Advanced Statistical Modeling Techniques · Mathematics · Multi-Criteria Decision Making
| Highly cited | No |
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