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ERIC Number: EJ789916
Record Type: Journal
Publication Date: 2008-Mar
Pages: 7
Abstractor: Author
Reference Count: 0
ISSN: ISSN-0033-3123
On the Relationships between Sum Score Based Estimation and Joint Maximum Likelihood Estimation
del Pino, Guido; San Martin, Ernesto; Gonzalez, Jorge; De Boeck, Paul
Psychometrika, v73 n1 p145-151 Mar 2008
This paper analyzes the sum score based (SSB) formulation of the Rasch model, where items and sum scores of persons are considered as factors in a logit model. After reviewing the evolution leading to the equality between their maximum likelihood estimates, the SSB model is then discussed from the point of view of pseudo-likelihood and of misspecified models. This is then employed to provide new insights into the origin of the known inconsistency of the difficulty parameter estimates in the Rasch model. The main results consist of exact relationships between the estimated standard errors for both models; and, for the ability parameters, an upper bound for the estimated standard errors of the Rasch model in terms of those for the SSB model, which are more easily available.
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: Researchers
Language: English
Sponsor: N/A
Authoring Institution: N/A