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arXiv 1505.02488stat.ME
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二元反应模型的最优两处理交叉设计

Optimal two-treatment crossover designs for binary response models

S. Mukhopadhyay, S. P. Singh, A. Dey

摘要:

确定了二进制响应的最佳双处理、$p$周期交叉设计。通过最小化$n$受试者到$2^p$可能治疗序列的所有可能分配上的治疗对比度估计量的方差来获得最优设计。假设适当的逻辑斯谛回归模型,并通过工作相关矩阵对受试者内协方差进行建模。使用广义估计方程拟合二元响应的边际均值。计算了某些交叉设计在$p=2,3,4$周期内的效率。研究了误设定工作相关矩阵对设计效率的影响。

英文摘要:

Optimal two-treatment, $p$ period crossover designs for binary responses are determined. The optimal designs are obtained by minimizing the variance of the treatment contrast estimator over all possible allocations of $n$ subjects to $2^p$ possible treatment sequences. An appropriate logistic regression model is postulated and the within subject covariances are modeled through a working correlation matrix. The marginal mean of the binary responses are fitted using generalized estimating equations. The efficiencies of some crossover designs for $p=2,3,4$ periods are calculated. The effect of misspecified working correlation matrix on design efficiency is also studied.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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