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Open AccessJournal ArticleDOI

Group Sequential Design for Randomized Phase III Trials under the Weibull Model

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TLDR
A parametric sequential test is proposed under the Weibull model that is asymptotically normal with an independent increment structure and applies the Brownian motion property of the test statistic and sequential conditional probability ratio test methodology.
Abstract
In this article, a parametric sequential test is proposed under the Weibull model. The proposed test is asymptotically normal with an independent increment structure. The sample size for a fixed sample test is derived for the purpose of group sequential trial design. In addition, a multi-stage group sequential procedure is given under the Weibull model by applying the Brownian motion property of the test statistic and sequential conditional probability ratio test methodology.

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Citations
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Journal ArticleDOI

Group Sequential Survival Trial Design and Monitoring Using the Log-Rank Test.

TL;DR: A sample size formula for the two-sample log-rank test under the proportional hazards model is proposed that provides more accurate sample size calculation for unbalanced survival trial designs.
References
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Book

An Introduction to Multivariate Statistical Analysis

TL;DR: In this article, the distribution of the Mean Vector and the Covariance Matrix and the Generalized T2-Statistic is analyzed. But the distribution is not shown to be independent of sets of Variates.
Book

Analysis of Survival Data

David Cox, +1 more
TL;DR: In this article, the authors give a concise account of the analysis of survival data, focusing on new theory on the relationship between survival factors and identified explanatory variables and conclude with bibliographic notes and further results that can be used for student exercises.

Introduction To Multivariate Statistical Analysis

Anja Vogler
TL;DR: The introduction to multivariate statistical analysis is universally compatible with any devices to read, and will help you to cope with some harmful bugs inside their desktop computer.
Journal ArticleDOI

A multiple testing procedure for clinical trials.

TL;DR: The overall size of the procedure is shown to be controlled with virtually the same accuracy as the single sample chi-square test based on N(m1 + m2) observations and the power is found to bevirtually the same.