嵌套正交表

摘要：

正交表允许我们测试每个因子的不同水平，并平衡不同的因子，以便我们可以估计相互作用以及一阶效应。在我们能够对每个因素的不同水平进行采样的程度和我们能够估计多少交互作用之间存在权衡。本文介绍了一种方法来减轻这种权衡。该方法允许我们在n个观测值的情况下对每个因子的n个水平进行采样，并使一阶项的估计值与其相互作用之间的相关性最小化。

英文摘要：

Orthogonal Arrays allow us to test various levels of each factor and balance the different factors so that we can estimate interactions as well as first order effects. There is a trade-off between how well we can sample different levels of each factor and how many interactions we are able to estimate. This paper describes one method to mitigate this trade-off. This method will allow us, with n observations, to sample n levels of each factor and minimize the correlation between the estimates of first order terms and their interactions.

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