Extension of generalized proportional reduction in variation measure for two-way contingency tables

For two-way contingency tables, as one measure of the relationship between rows and columns, there is a proportional reduction in variation (PRV) measure that compares the marginal variation to the conditional variation. Various PRV measures have been proposed by varying the method of calculating th...

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Bibliographic Details
Published in:Behaviormetrika 2023, Vol.50 (1), p.385-398
Main Authors: Momozaki, Tomotaka, Wada, Yuki, Nakagawa, Tomoyuki, Tomizawa, Sadao
Format: Article
Language:English
Subjects:
Chemistry and Earth Sciences
Computer Science
Confidence intervals
Contingency tables
Economics
Finance
Insurance
Management
Mathematics and Statistics
Normal distribution
Original Paper
Physics
Random variables
Statistical Theory and Methods
Statistics
Statistics for Business
Statistics for Engineering
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Summary:For two-way contingency tables, as one measure of the relationship between rows and columns, there is a proportional reduction in variation (PRV) measure that compares the marginal variation to the conditional variation. Various PRV measures have been proposed by varying the method of calculating the variation, and a PRV measure that generalizes these measures has also been proposed. This paper presents an extension of the generalized PRV measure using any function satisfying specific conditions. The proposed measure contains the existing measures as special cases. By virtue of this generalization, we can express the properties of various measures in a unified way.
ISSN:0385-7417
1349-6964
DOI:10.1007/s41237-022-00186-8