The Statistical Analysis of Compositional Data
The Statistical Analysis of Compositional Data
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DOI：
10.1080/00401706.1988.10488337
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发表时间：
1988-02
期刊：
影响因子：
2.5
通讯作者：
G. Piepel
中科院分区：
文献类型：
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作者：
G. Piepel
响应面是第6章的主题，重点也是数学方面的，关注标准型、可分解性和正交分块，所有这些都是使用矩阵代数讨论的。最后，在最后一节中，出现了一个真实的例子。不幸的是，它主要用于说明方差分析表、协方差矩阵和预测方差等的计算。有人偶然提到计算机可能会有帮助。有一个化学期刊文章的参考书目，分为17个不同的化学领域，描述了响应面优化的具体应用。这15页是这本书最好的部分。附录给出了三个BASIC语言计算机程序的列表：学生的坐标和坐标，通过安德森-达林统计量进行正态性检验，以及绘制半正态图的位置和护栏。
Response surfaces provide the subject matter for Chapter 6, and the emphasis is again mathematical, with concerns about canonical forms, rotatability, and orthogonal blocking, all discussed using matrix algebra. Finally, in the very last section, a real example appears. Unfortunately, it is mostly used to illustrate computation of things like the analysis-of-variance table, covariance matrix, and prediction variance. It is casually mentioned that a computer might be helpful.There is a bibliography of chemistry journal articles, separated into 17 different fields of interest in chemistry, that describe specific applications of the optimization of response surfaces. These 15 pages were the best part of the book. An appendix gives listings for three BASIC language computer programs: percentiles and ordinates for Student’st, normality testing via the Anderson-Darling statistic, and plotting positions and guardrails for half-normal plots.