The analysis of variance of some non-orthogonal designs with split plots
The analysis of variance of some non-orthogonal designs with split plots
复制标题
一些带裂区的非正交设计的方差分析
DOI：
10.1093/biomet/56.1.43
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发表时间：
1969
期刊：
影响因子：
2.7
通讯作者：
D. H. Rees
中科院分区：
文献类型：
--
作者：
D. H. Rees
摘要本文描述了一些实验设计的方差分析，其中可能存在多个级别的图分割，并且任何级别的处理都可能与块不正交。首先讨论基于 Kurkjian & Zelen (1962) 使用的 Kronecker 产品方法的设计构造。然后概述了基于 Nelder (1965a, b) 提出的思想的分析方法。该论文表明，使用这些想法可以非常简单地分析一些先前未详细讨论的潜在有用的设计。还提到了来自多个来源的信息的组合以及误差的无偏估计的推导。
SUMMARY The paper describes the analysis of variance of some experimental designs in which there may be several levels of splitting of plots, and in which the treatments at any level may be non-orthogonal to blocks. The construction of the designs, based on the Kronecker product method as used by Kurkjian & Zelen (1962), is discussed first. Then the method of analysis, based on the ideas developed by Nelder (1965a, b), is outlined. The paper shows that some potentially useful designs, not previously discussed in any detail, can be analysed quite simply using these ideas. The combination of information from several sources, and the derivation of unbiased estimates of error, are also mentioned.