Randomization in the Design of Experiments
Randomization in the Design of Experiments
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DOI：
10.1111/j.1751-5823.2009.00084.x
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发表时间：
2009-12-01
影响因子：
2
通讯作者：
Cox, D. R.
中科院分区：
文献类型：
--
作者：
Cox, D. R.
本文综述了随机化在实验设计中的作用.区分三个目标，避免偏见，建立一个安全的基础，估计在传统的设计中的错误，并提供正式的确切的测试的意义和置信限。与协方差分析的近似随机化理论概述和条件性的考虑是用来解释随机化的实验中的有限作用，非常小的实验单位。讨论了基于设计的分析和基于模型的分析之间的关系。文中还简要介绍了抽样理论中的相应结果。
P>A general review is given of the role of randomization in experimental design. Three objectives are distinguished, the avoidance of bias, the establishment of a secure base for the estimation of error in traditional designs, and the provision of formally exact tests of significance and confidence limits. The approximate randomization theory associated with analysis of covariance is outlined and conditionality considerations are used to explain the limited role of randomization in experiments with very small numbers of experimental units. The relation between the so-called design-based and model-based analyses is discussed. Corresponding results in sampling theory are mentioned briefly.