Sequences Balanced for Pairs of Residual Effects
对成对残留效应平衡的序列设计AI 解读 ↓
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对成对残留效应平衡的序列设计
- 研究问题
- 如何构造能够平衡成对残留效应的处理序列，并对这类序列进行统计分析及说明其应用限制？
- 方法与思路
- 作者提出两种构造途径，分别利用区组内残留效应平衡设计与圆桌解，并用数值例子展示序列分析。
- 材料陈述的贡献
- 摘要称，研究把此前针对单个残留效应的序列扩展至成对残留效应，并提供四至八种处理的五套序列方案。
- 阅读关注点
- 应核对成对残留效应的含义、平衡条件和分析模型，并确认两类序列的差异及所称小幅优势的具体内容。
- 阅读边界
- 仅据 OpenAlex 索引摘要，稿件版本未注明；构造条件、分析限制及序列缩写含义未充分给出。
原文摘要
Finney and Outhwaite [2] introduced serially balanced sequences into the statistical literature. They classified these sequences into two types, viz., type I and type II. Sampford [3] gave many methods of construction and analysis of these sequences. But these authors were concerned only with sequences balanced for a single residual. We shall deal with sequences balanced for pairs of residual effects. Two important methods of construction of these sequences are given. One is from designs balanced for residuals within blocks and the other from “round table solutions.” The analysis of the sequence is given with a numerical example. The appendix contains the plans of five sequences for four to eight treatments. Experimenters who are interested in the practical application of these sequences need go only through parts 1 and 4, conclusion and the appendix. For, part 1 explains where the sequences are to be used, part 4 gives the analysis of these sequences and explains its limitations, the conclusion points out a minor advantage of the SSBS over the SBS, and the appendix contains the plans of some sequences.