Bayesian estimation of item response curves. (English) Zbl 0601.62047
Item response curves for a set of binary responses are studied from a Bayesian viewpoint of estimating the item parameters. For the two- parameter logistic model with normally distributed ability, restricted bivariate beta priors are used to illustrate the computation of the posterior mode via the EM algorithm. The procedure is illustrated by data from a mathematics test.
MSC:
| 62F15 | Bayesian inference |
| 62P10 | Applications of statistics to biology and medical sciences; meta analysis |
| 62J05 | Linear regression; mixed models |
Keywords:
Bayesian estimation; Item response curves; binary responses; two- parameter logistic model; restricted bivariate beta priors; posterior mode; EM algorithmReferences:
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