On the Existence and Uniqueness of Maximum-Likelihood Estimates in the Rasch Model.

Fischer, Gerhard H.

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Peer reviewed

ERIC Number: EJ246453

Record Type: Journal

Publication Date: 1981-Mar

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On the Existence and Uniqueness of Maximum-Likelihood Estimates in the Rasch Model.

Fischer, Gerhard H.

Psychometrika, v46 n1 p59-77 Mar 1981

Necessary and sufficient conditions for the existence and uniqueness of a solution of the so-called "unconditional" and the "conditional" maximum-likelihood estimation equations in the dichotomous Rasch model are given. It is shown how to apply the results in practical uses of the Rasch model. (Author/JKS)

Descriptors: Latent Trait Theory, Mathematical Models, Maximum Likelihood Statistics, Psychometrics, Statistical Analysis

Publication Type: Journal Articles; Reports - Research

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Audience: N/A

Language: English

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