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Estimation and confidence intervals after adjusting the maximum information. (English) Zbl 1441.62407

Summary: In a comparative clinical trial, if the maximum information is adjusted on the basis of unblinded data, the usual test statistic should be avoided due to possible type I error inflation. An adaptive test can be used as an alternative. The usual point estimate of the treatment effect and the usual confidence interval should also be avoided. In this article, we construct a point estimate and a confidence interval that are motivated by an adaptive test statistic. The estimator is consistent for the treatment effect and the confidence interval asymptotically has correct coverage probability.

MSC:

62P10 Applications of statistics to biology and medical sciences; meta analysis
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