Open Access
October2000 Optimal sequential designs of case-control studies
Kani Chen
Ann. Statist. 28(5): 1452-1471 (October2000). DOI: 10.1214/aos/1015957402


Fixed case-control studies separately collect a case sample and a control sample withthe two sample sizes being fixed prior to studies and sometimes arbitrarily chosen. This often results in loss of efficiency of case-control designs in terms of cost-saving or time-saving of the studies. We study sequential case-control designs and, in connection with treatment allocation and stochastic approximation, derive a simple sampling rule that leads to optimal case-control designs. Some important issues suchas fixed- width confidence intervals and sequential tests of hypotheses with possible early stopping to save time or costs, whichcannot be answered with fixed case-control designs, are shown to be naturally solved with the derived optimal sequential case-control designs.


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Kani Chen. "Optimal sequential designs of case-control studies." Ann. Statist. 28 (5) 1452 - 1471, October2000.


Published: October2000
First available in Project Euclid: 12 March 2002

zbMATH: 1105.62364
MathSciNet: MR1805792
Digital Object Identifier: 10.1214/aos/1015957402

Primary: 62F12
Secondary: 62I05

Keywords: fixed-width confidence interval , logistic regression , sequential sampling , sequential test of hypotheses , stochastic approximation , treatment allocation

Rights: Copyright © 2000 Institute of Mathematical Statistics

Vol.28 • No. 5 • October2000
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