A Revised Version of McNemar's Test for Paired Binary Data

In the formula of the McNemar test, a test on 2 × 2 classification tables with pairs of data, only the two categories A and D, which represent changes, are included; the retained parts B and C, which represent concordant responses, are not considered. Generally, it would be more reasonable for the s...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2010-01, Vol.39 (19), p.3525-3539
Main Author: Lu, Yunqing
Format: Article
Language:English
Subjects:
Binary data
Category A
Category B + C
Category D
Chi-square
Exact sciences and technology
General topics
Mathematics
McNemar test
Multivariate analysis
Probability and statistics
Sampling theory, sample surveys
Sciences and techniques of general use
Statistics
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Summary:In the formula of the McNemar test, a test on 2 × 2 classification tables with pairs of data, only the two categories A and D, which represent changes, are included; the retained parts B and C, which represent concordant responses, are not considered. Generally, it would be more reasonable for the significance of the changes to depend not only on A and D, but also on B and C, or on the sample size, n. To develop the test, two formulae, based on A, D, and n, and on A, D, B, C, and n, respectively, are proposed.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610920903289218