Skip to main content
The use of prior distributions in marginalized Bayesian item parameter estimation: A didactic
Harwell, Michael R.; Baker, Frank B. (1991)
 

Title 
The use of prior distributions in marginalized Bayesian item parameter estimation: A didactic

Issue Date
1991

Type
Article

Abstract
The marginal maximum likelihood estimation (MMLE) procedure (Bock & Lieberman, 1970; Bock & Aitkin, 1981) has led to advances in the estimation of item parameters in item response theory. Mislevy (1986) extended this approach by employing the hierarchical Bayesian estimation model of Lindley and Smith (1972). Mislevy’s procedure posits prior probability distributions for both ability and item parameters, and is implemented in the PC-BILOG computer program. This paper extends the work of Harwell, Baker, and Zwarts (1988), who provided the mathematical and implementation details of MMLE in an earlier didactic paper, by encompassing Mislevy’s marginalized Bayesian estimation of item parameters. The purpose was to communicate the essential conceptual and mathematical details of Mislevy’s procedure to practitioners and to users of PC-BILOG, thus making it more accessible. Index terms: Bayesian estimation, BILOG, item parameter estimation, item response theory.

Appears in Collection(s)

Other Identifier(s)
other: doi:10.1177/014662169101500409

Suggested Citation
Harwell, Michael R.; Baker, Frank B.. (1991). The use of prior distributions in marginalized Bayesian item parameter estimation: A didactic. Retrieved from the University of Minnesota Digital Conservancy, http://purl.umn.edu/114468.


Content distributed via the University of Minnesota's Digital Conservancy may be subject to additional license and use restrictions applied by the depositor.