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Normal Ogive Model on the Continuous Response Level in the Multidimensional Latent Space

Published online by Cambridge University Press:  01 January 2025

Fumiko Samejima
Fumiko Samejima*
Affiliation:
University of Tennessee
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Abstract

The homogeneous case of the continuous response model is expanded to the multi-dimensional latent space, and the normal ogive model is presented. The operating density characteristic of the continuous item response and the vector of basic functions are developed. It is found out that there is a vector of sufficient statistics for estimating the subject's vector of latent traits, given the item parameter vectors. The relationship between the model and the linear factor analysis is observed. The matrix of item response information functions is introduced. Some additional observations are also made.

Keywords

Basic FunctionPublic PolicyParameter VectorResponse ModelItem Response

Information

Type
Original Paper
Information
Psychometrika , Volume 39 , Issue 1 , March 1974, pp. 111 - 121
Copyright
Copyright © 1974 The Psychometric Society

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Footnotes

*

The work described in this paper was partly carried out while the author was at Bowling Green State University with the support of its Research Associateship in the summer, 1972.

References

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