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Testing Independence in Two-Way Contingency Tables with Data Subject to Misclassification

Published online by Cambridge University Press:  01 January 2025

Kwanchai Assakul  and
Charles H. Proctor
Kwanchai Assakul
Affiliation:
Chulalongkorn University, Bangkok, Thailand
Charles H. Proctor
Affiliation:
North Carolina State University
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Abstract

The misclassification process is represented by a stochastic matrix containing the probabilities that an individual who belongs in one cell is counted as belonging to another (or perhaps the same) cell. These probabilities are supposed known. If misclassification in the row direction is independent of that along the column variable then the size of the usual chi-square test is unchanged. It is shown how to calculate loss of power in this case and also how to calculate the change in size of the test if the errors are not independent. A modified test criterion is suggested when errors are not independent and a numerical example is included.

Type
Original Paper
Information
Psychometrika , Volume 32 , Issue 1 , March 1967 , pp. 67 - 76
Copyright
Copyright © 1967 The Psychometric Society

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