可以考察交互作用的多因素试验设计类型(英文)

Multifactor designs able to examine the interactions

可以考察交互作用的试验设计类型有很多,包括析因设计、含区组因素的析因设计、重复测量设计、正交设计、裂区设计等。在所有可以考察交互作用的试验设计类型中,析因设计是最受研究者青睐的一种试验设计类型。析因设计也称全因子试验设计,即试验中涉及所有因素水平全面组合形成的试验条件,各试验条件下做k次独立重复试验。含区组因素析因设计,比析因设计多考察1个或多个重要非试验因素(即区组因素)对观测结果的影响。本文通过实例具体介绍析因设计及含区组因素的析因设计。

Multifactor designs that are able to examine the interactions include factorial design, factorial design with a block factor, repeated measurement design; orthogonal design, split-block design, etc. Among all the above design types that are able to examine the interactions, the factorial design is the most commonly used. It is also called the full-factor experimental design, which means that the levels of all the experimental factors involved in the research are completely combined, and k independent repeated experiments are conducted under each experimental condition. The factorial design with a block factor can also examine the influence of a block factor formed by one or more important nonexperimental factors based on the factorial design. This article introduces the factorial design and the factorial design with a block factor by examples.