Crossover designs are called for in situations when several subjects undergo a sequence of treatments. Though, usually, the model contains the direct effects of treatments as well as the carryover effects, the primary interest lies in the estimation of direct effects of the treatment. Most results in the literature on crossover designs are available for the situations where either the number of periods or the number of subjects is a multiple of the number of treatments. In this article, we consider crossover designs for the non-regular settings, that is, the situations when the number of treatments divides neither the number of periods nor the number of subjects. We provide a construction method to obtain highly E-efficient crossover designs for non-regular settings, while also providing a crude lower bound to E-efficiency of the designs constructed through our construction method. In a table, we provide E-efficiencies of a constructed design for the number of treatments up to 10 and the number of subjects up to 50.

当几个对象经历一系列治疗时，需要交叉设计。尽管通常该模型包含治疗的直接效果以及残留效应，但主要的兴趣在于估计治疗的直接效果。交叉设计文献中的大多数结果适用于周期数或受试者数是治疗数倍的情况。在本文中，我们考虑了针对非常规设置的交叉设计，即，治疗次数既不划分周期数也不划分受试者数的情况。我们提供一种获得高E的构造方法非常规设置的高效交叉设计，同时也为通过我们的构造方法构造的设计的E效率提供了一个粗略的下限。在表格中，我们提供了最多10种治疗方法和最多50种受试者的结构化设计的E效率。