The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Chi-Square Tests with One Degree of Freedom; Extensions of the Mantel-Haenszel Procedure
Abstract
A published method for analyzing multiple 2×2 contingency tables arising in retrospective studies of disease is extended in application and form. Extensions of application include comparisons of age-adjusted death rates, life-table analyses, comparisons of two sets of quantal dosage-response data, and miscellaneous laboratory applications as appropriate. Extensions in form involve considering multiple contingency tables with arbitrarily many rows and/or columns, where rows and columns are orderable, and may even be on a continuous scale. The assignment of some score for each row or column is essential to use of the method. With scores assigned, a deviation of the sum of cross products from expectation, and its variance conditioned on all marginal totals, are computed for each table and a chi square is determined corresponding to the grand total of the deviations. For various specific instances and for various scoring procedures, the procedure extends or is equivalent to the asymptotic form of many known non-parametric techniques.
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Citations
Cites
Individual Comparisons by Ranking Methods
Wilcoxon, F. (1945) · Biometrics Bulletin · doi:10.2307/3001968 · Cited by 15,354
Statistical Aspects of the Analysis of Data From Retrospective Studies of Disease
(1959) · JNCI: Journal of the National Cancer Institute · doi:10.1093/jnci/22.4.719 · Cited by 14,689
Self-citationFisher, R. A. (1936) · BMJ · doi:10.1136/bmj.1.3923.554-a · Cited by 4,980
Cited by
Regression Models and Life-Tables
Cox, D. R. (1992) · Springer Series in Statistics · doi:10.1007/978-1-4612-4380-9_37 · Cited by 26,297
Genome-wide association study of 14,000 cases of seven common diseases and 3,000 shared controls
The Wellcome Trust Case Control Consortium, Management Committee, Burton, P. R., Clayton, D. G., Cardon, L. R., Craddock, N., Deloukas, P., Duncanson, A., Kwiatkowski, D. P., McCarthy, M. I., et al. (2007) · Nature · doi:10.1038/nature05911 · Cited by 9,442
Regression Models for Ordinal Data
McCullagh, P. (1980) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1980.tb01109.x · Cited by 4,453
Asymptotically Efficient Rank Invariant Test Procedures
Peto, R., & Peto, J. (1972) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2344317 · Cited by 3,393
The Efficacy of Azidothymidine (AZT) in the Treatment of Patients with AIDS and AIDS-Related Complex
Fischl, M. A., Richman, D. D., Grieco, M. H., Gottlieb, M. S., Volberding, P. A., Laskin, O. L., Leedom, J. M., Groopman, J. E., Mildvan, D., Schooley, R. T., et al. (1987) · New England Journal of Medicine · doi:10.1056/nejm198707233170401 · Cited by 2,995
Metadata
- Authors
- Mantel, N.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1963-09
- Volume
- 58
- Issue
- 303
- Pages
- 690-700
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2014530124
- Cited by
- 2,897
- References
- 3
- FWCI
- 11.28
- Type
- journal article
- Language
- en
- Open access
- closed
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- Mantel, N. (1963). Chi-Square Tests with One Degree of Freedom; Extensions of the Mantel-Haenszel Procedure. Journal of the American Statistical Association. https://doi.org/10.1080/01621459.1963.10500879
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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