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Likelihood Methods for Testing Group Problem Solving Models with Censored Data

Published online by Cambridge University Press:  01 January 2025

Ronald R. Regal  and
Kinley Larntz
Ronald R. Regal
Affiliation:
University of Minnesota
Kinley Larntz*
Affiliation:
University of Minnesota
*
Requests for reprints should be sent to Kinley Larntz, Department of Applied Statistics, University of Minnesota, 352 Classroom Office Building, 1994 Buford Avenue, St. Paul, MN 55108.
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Abstract

Problem solving models relating individual and group solution times under time limit censoring are presented. Maximum likelihood estimates of parameters of the resulting censored distributions are derived and goodness of fit tests for the individual-group models are constructed. The methods are illustrated on data previously analyzed by Restle and Davis.

Keywords

maximum likelihoodgoodness of fit tests
Type
Article
Information
Psychometrika , Volume 43 , Issue 3 , September 1978 , pp. 353 - 366
Copyright
Copyright © 1978 The Psychometric Society

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Footnotes

Ronald R. Regal is now at the Department of Mathematics, State University of New York at Albany, Albany, New York. This research was supported by grants from the Graduate School, University of Minnesota. Also, work of the second author was aided by a Single Quarter Leave granted by the Regents of the University of Minnesota.

References

Reference Notes

Gehan, E. A. Analyzing survival data by distribution-free methods. Paper presented at the Thirty-Second Annual Princeton Conference on Applied Statistics, December 1976.Google Scholar
Kaplan, E. B. & Elston, R. C. A subroutine package for maximum likelihood estimation (MAXLIK). (Mimeo Series No. 823). University of North Carolina, Institute of Statistics, 1972.Google Scholar

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