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The Rasch Model and Multistage Testing

National Institute for Educational Measurement (Cito)

This paper concerns the problem of estimating the item parameters of latent trait models in a multistage testing design. It is shown that using the Rasch model and conditional maximum likelihood estimates does not lead to solvable estimation equations. It is also shown that marginal maximum likelihood estimation, which assumes a sample of subjects from a population with a specified distribution of ability, will lead to solvable estimation equations, both in the Rasch model and in the Birnbaum model.

Key Words: Rasch model • latent trait theory • multistage testing

Journal of Educational and Behavioral Statistics, Vol. 13, No. 1, 45-52 (1988)
DOI: 10.3102/10769986013001045


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