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Homogeneous Case of the Continuous Response Model

Published online by Cambridge University Press:  01 January 2025

Fumiko Samejima*
Affiliation:
Bowling Green State University

Abstract

In line with the latent trait model, the continuous response level is defined and considered, in contrast to the discrete response levels, which have already been explored by the author. Discussions are mainly focused on the homogeneous case and the open response situation. The operating density characteristic of the continuous item score is defined. Also the basic function, information functions and the positive-exponent family are discussed on the continuous response level, in connection with the sufficient condition that a unique maximum estimate is provided for the response pattern, which consists of the continuous item scores.

Type
Original Paper
Copyright
Copyright © 1973 The Psychometric Society

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