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Comparative analysis of two rates
Abstract
In this paper, we examine comparative analysis of rates with a view to each of the usual comparative parameters‐rate difference (RD), rate ratio (RR) and odds ratio (OR)‐and with particular reference to first principles. For RD and RR we show the prevailing statistical practices to be rather poor. We stress the need for restricted estimation of variance in the chi‐square function underlying interval estimation (and also point estimation and hypothesis testing). For RR analysis we propose a chi‐square formulation analogous to that for RD and, thus, one which obviates the present practice of log transformation and its associated use of Taylor series approximation of the variance. As for OR analysis, we emphasize that the chi‐square function, introduced by Cornfield for unstratified data, and extended by Gart to the case of stratified analysis, is based on the efficient score and thus embodies its optimality properties. We provide simulation results to evince the better performance of the proposed (parameter‐constrained) procedures over the traditional ones.
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Cites
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
Some Methods for Strengthening the Common χ 2 Tests
Cochran, W. G. (1954) · Biometrics · doi:10.2307/3001616 · Cited by 3,718
Cox, D. R., & Hinkley, D. V. (1974) · doi:10.1007/978-1-4899-2887-0 · Cited by 3,089
Cited by
Faul, F., Erdfelder, E., Lang, A.-G., & Buchner, A. (2007) · Behavior Research Methods · doi:10.3758/bf03193146 · Cited by 65,971
Herbst, R. S., Baas, P., Kim, D.-W., Felip, E., Pérez-Gracia, J. L., Han, J.-Y., Molina, J., Kim, J.-H., Arvis, C. D., Ahn, M.-J., et al. (2016) · The Lancet · doi:10.1016/s0140-6736(15)01281-7 · Cited by 6,449
Pembrolizumab for Early Triple-Negative Breast Cancer
Schmid, P., Cortes, J., Pusztai, L., McArthur, H., Kümmel, S., Bergh, J., Denkert, C., Park, Y. H., Hui, R., Harbeck, N., et al. (2020) · New England Journal of Medicine · doi:10.1056/nejmoa1910549 · Cited by 3,270
A Vaccine to Prevent Herpes Zoster and Postherpetic Neuralgia in Older Adults
Oxman, M. N., Levin, M. J., Johnson, G. R., Schmader, K. E., Straus, S. E., Gelb, L. D., Arbeit, R. D., Simberkoff, M. S., Gershon, A. A., Davis, L. E., et al. (2005) · New England Journal of Medicine · doi:10.1056/nejmoa051016 · Cited by 2,412
Molnupiravir for oral treatment of COVID-19 in nonhospitalized patients.
Jayk Bernal, A., Gomes da Silva, M. M., Musungaie, D. B., Kovalchuk, E., Gonzalez, A., Delos Reyes, V., Martín-Quirós, A., Caraco, Y., Williams-Diaz, A., Brown, M. L., et al. (2022) · New England Journal of Medicine · doi:10.1056/nejmoa2116044 · Cited by 1,857
Metadata
- Authors
- Miettinen, O., & Nurminen, M.
- Venue
- Statistics in Medicine
- Publisher
- Wiley
- Published
- 1985-04
- Volume
- 4
- Issue
- 2
- Pages
- 213-226
- ISSN
- 0277-6715 (ISSN-L)
- 1097-0258
- OpenAlex
- W2122633654
- Cited by
- 1,110
- References
- 3
- FWCI
- 5.99
- Type
- journal article
- Language
- en
- Open access
- closed
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