Tsai K T, Patel H L
Schering-Plough Research Institute, Kenilworth, NJ 07033, USA.
Stat Med. 1996 Jan 30;15(2):117-26. doi: 10.1002/(SICI)1097-0258(19960130)15:2<117::AID-SIM158>3.0.CO;2-B.
Patel analysed a two-period cross-over design with baseline measurements assuming bivariate normality for the joint distribution of the period responses. In this paper, we propose non-parametric methods for analysing this design, including the use of the Wilcoxon rank sum test to derive the preliminary tests from the baseline measurements. We fit a robust regression line of the treatment response on baseline for each period and compute residuals. We also fit a robust locally weighted regression as an alternative method for computing residuals. Then, following Koch's procedure, we analyse the residuals for testing the significance of the treatment x period interaction and the treatment difference. We provide a numerical example to illustrate the methods.
帕特尔分析了一种具有基线测量的两阶段交叉设计，假设阶段反应的联合分布为二元正态分布。在本文中，我们提出了用于分析该设计的非参数方法，包括使用威尔科克森秩和检验从基线测量中得出初步检验。我们为每个阶段拟合了治疗反应相对于基线的稳健回归线并计算残差。我们还拟合了稳健的局部加权回归作为计算残差的替代方法。然后，按照科赫的程序，我们分析残差以检验治疗×阶段交互作用和治疗差异的显著性。我们提供了一个数值示例来说明这些方法。
