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A Model for Selecting One of Two Medical Treatments
Abstract
A simple cost function approach is proposed for designing an optimal clinical trial when a total of N patients with a disease are to be treated with one of two medical treatments. The cost function is constructed with but one cost, the consequences of treating a patient with the superior or inferior of the two treatments. Fixed sample size and sequential trials are considered. Minimax, maximin, and Bayesian approaches are used for determining the optimal size of a fixed sample trial and the optimal position of the boundaries of a sequential trial. Comparisons of the different approaches are made as well as comparisons of the results for the fixed and sequential plans.
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Citations
Cited by
Explanatory and pragmatic attitudes in therapeutical trials
Schwartz, D., & Lellouch, J. (1967) · Journal of Chronic Diseases · doi:10.1016/0021-9681(67)90041-0 · Cited by 1,185
Bayesian approaches to randomized trials
Spiegelhalter, D. J., Freedman, L. S., & Parmar, M. K. B. (1994) · Journal of the Royal Statistical Society. Series A (Statistics in Society) · doi:10.2307/2983527 · Cited by 720
Cheung, K., & Duan, N. (2014) · American Journal of Public Health · doi:10.2105/ajph.2013.301579 · Cited by 26
Metadata
- Authors
- Colton, T.
- Venue
- Journal of the American Statistical Association
- Published
- 1963-06-01
- Volume
- 58
- Issue
- 302
- Pages
- 388-388
- ISSN
- 0162-1459 (ISSN-L)
- OpenAlex
- W4245780845
- Cited by
- 163
- References
- 0
- FWCI
- 6.01
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: A Model for Selecting One of Two Medical Treatments. https://app.cochat.ai/papers/10.2307/2283274
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- Colton, T. (1963). A Model for Selecting One of Two Medical Treatments. Journal of the American Statistical Association. https://doi.org/10.2307/2283274
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
