The two-parameter multidimensional random coefficients multinomial logit model [microform]
- Bib ID:
- 3283970
- Format:
- Book and Microform
- Author:
- Gregory, Kelvin David
- Description:
- 310 p.
- ISBN:
- 0599655437
- Summary:
-
A general, multidimensional item response theory (IRT) model was developed. This new model, the two-parameter multidimensional random coefficients multinomial logit model (2-MRCMLM), incorporates all one- and two-parameter IRT models. The 2-MRCMLM extends the previously derived 1-MRCMLM by relaxing the assumption of constant slope. The estimation of the 2-MRCMLM parameters was through a marginal maximum likelihood technique using the estimation-maximization (E-M) algorithm incorporating a Newton-Raphson procedure. Equations for the estimation of 2-MRCMLM parameters were derived. While some of these equations are extensions of 1-MRCMLM equations, the equations with the slope parameter as their focus marks a unique contribution to IRT. The veracity of the equations for item parameter estimation was demonstrated through a series of simulation studies which explored the 2-MRCMLM's ability to recover these parameters from both unidimensional and bidimensional data.
The item parameter recovery studies were conducted using a C++ computer program. This program generated data sets with known item parameters and latent trait distributions, recovered the item parameters using the E-M algorithm, calculated the standard errors of the item parameters by inverting the Hessian matrix, and finally compared the generating and recovered item parameters.
- Notes:
-
- (UnM)AAI9961610
- Source: Dissertation Abstracts International, Volume: 61-02, Section: A, page: 0585.
- Adviser: Albert Beaton.
- Thesis (Ph.D.)--Boston College, 2000.
- Reproduction:
- Microfiche. Ann Arbor, Mich.: University Microfilms International.
- Subject:
- Other authors/contributors:
- Boston College
- Copyright:
-
In Copyright
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Copyright status was determined using the following information:
- Material type:
- Literary Dramatic Musical
- Published status:
- Unpublished
- Creation date:
- 2000
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