Marginal Maximum A Posteriori Item Parameter Estimation for the Generalized Graded Unfolding Model

2011 ◽  
Vol 35 (4) ◽  
pp. 259-279 ◽  
Author(s):  
James S. Roberts ◽  
Vanessa M. Thompson
Keyword(s):  
Parameter Estimation ◽  
Item Parameter ◽  
Maximum A Posteriori ◽  
A Posteriori ◽  
Unfolding Model ◽  
Generalized Graded Unfolding Model ◽  
Item Parameter Estimation ◽  
Marginal Maximum

Item Parameter Estimation Via Marginal Maximum Likelihood and an EM Algorithm: A Didactic

1988 ◽  
Vol 13 (3) ◽  
pp. 243-271 ◽  
Author(s):  
Michael R. Harwell ◽  
Frank B. Baker ◽  
Michael Zwarts
Keyword(s):  
Parameter Estimation ◽  
Maximum Likelihood ◽  
Item Parameter ◽  
Parameter Estimates ◽  
Marginal Maximum Likelihood ◽  
Maximum Likelihood Procedure ◽  
Item Parameter Estimates ◽  
Didactic Paper ◽  
Item Parameter Estimation ◽  
Marginal Maximum

The Bock and Aitkin (1981) Marginal Maximum Likelihood/EM approach to item parameter estimation is an alternative to the classical joint maximum likelihood procedure of item response theory. Unfortunately, the complexity of the underlying mathematics and the terse nature of the existing literature has made understanding of the approach difficult. To make the approach accessible to a wider audience, the present didactic paper provides the essential mathematical details of a marginal maximum likelihood/EM solution and shows how it can be used to obtain consistent item parameter estimates. For pedagogical purposes, a short BASIC computer program is used to illustrate the underlying simplicity of the method.

The effect of uncertainty of item parameter estimation on ability estimates

Psychometrika ◽  
1990 ◽  
Vol 55 (2) ◽  
pp. 371-390 ◽  
Author(s):  
Robert K. Tsutakawa ◽  
Jane C. Johnson
Keyword(s):  
Parameter Estimation ◽  
Item Parameter ◽  
Ability Estimates ◽  
Item Parameter Estimation
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