Abstract
This chapter discusses the first doubly classified model: marginal symmetry model which aims to examine whether marginal total of rows and columns of a doubly classified table are in symmetry. Two tests for marginal symmetry of doubly classified table are discussed. McNemar’s test for testing marginal symmetry for 2 × 2 table and Bower’s test for n × n table.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bower, A. H. (1948). A test for symmetry in contingency tables. Journal of the American Statistical Association, 43, 572–574.
Edward, A. L. (1948). Note on the “Correction for continuity” in testing the significance of the difference between correlated proportions. Psychometrika, 13(3), 185–187.
Fagerland, M. W., Lydersen, S., & Laake, P. (2013). The McNemar test for binary matched-pairs data: mid-p and asymptotic are better than exact conditional. BMC Medical Research Methodology, 13, 91.
Maxwell, A. E. (1970). Comparing the classification of subjects by two independent judges. British Journal of Psychiatry, 116, 651–655.
McMemar, Q. (1947). Note on the sampling error of the difference between correlated proportions or percentages, Psychometrika, 12, 153–157.
Stuart, A. (1953). The estimation and comparison of strengths of association in contingency tables. Biometrika, 40(1/2), 105–110.
Stuart, A. (1955). A test for homogeneity of the marginal distributions in a two-way classification, Biometrika, 412–416.
Sun, X. & Yang, Z. (2008). Generalized McNemar’s test for homogeneity of the marginal distributions. SAS Global Forum 2008.
von Eye, A. & Spiel, C. (1996). Standard and non-standard log-linear symmetry models for measuring change in categorical variables. American Statistician, 50, 300–305.
von Eye, A., Jacobson, L. P., and Wills, S. D. (1990). Proverbs: Inagery, Initerpretationi, and Memory, 12th West Virginia University Conference on Life-Span Developmental Psychology.
Walker, G. A. (2002). Common statistical methods for clinical research with SAS examples (2nd ed.). SAS Institute Inc., Cary, North Carolina.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Tan, T.K. (2017). Examining Symmetry of Doubly Classified Table. In: Doubly Classified Model with R. Springer, Singapore. https://doi.org/10.1007/978-981-10-6995-6_3
Download citation
DOI: https://doi.org/10.1007/978-981-10-6995-6_3
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-6994-9
Online ISBN: 978-981-10-6995-6
eBook Packages: Computer ScienceComputer Science (R0)