Relationships among several methods of linearly constrained correspondence analysis

Relationships among several methods of linearly constrained correspondence analysis
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几种线性约束对应分析方法之间的关系

DOI:
10.1007/bf02294498
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发表时间:
1991
期刊:
影响因子:
--
通讯作者:
S. Mayekawa
S. Mayekawa
中科院分区:
--
文献类型:
--
作者:
Y. Takane;H. Yanai;S. Mayekawa

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本文证明了几种线性约束对应分析方法之间的本质等价性。它们包括Fisher的加性评分法、Hayashi的第二类量化方法、ter Braak的典型对应分析、Nishisato的量化方法、ter Braak的典型对应分析、Nishisato的分类数据方差分析、操纵列联表的对应分析、Böckenholt和Böckenholt的线性约束最小二乘典型分析、以及货车der Heijden和Meijerink的零平均限制。这些方法属于两类方法之一,对应于施加线性约束的两种替代方式,重新参数化方法和零空间方法。两者之间的联系是通过Khatri引理建立的。
This paper shows essential equivalences among several methods of linearly constrained correspondence analysis. They include Fisher's method of additive scoring, Hayashi's second type of quantification method, ter Braak's canonical correspondence analysis, Nishisato's type of quantification method, ter Braak's canonical correspondence analysis, Nishisato's ANOVA of categorical data, correspondence analysis of manipulated contingency tables, Böckenholt and Böckenholt's least squares canonical analysis with linear constraints, and van der Heijden and Meijerink's zero average restrictions. These methods fall into one of two classes of methods corresponding to two alternative ways of imposing linear constraints, the reparametrization method and the null space method. A connection between the two is established through Khatri's lemma.
我们是否对“善终”谈论得太多了?
DOI: --
发表时间: 2022
期刊: 老年精神医学雑誌
影响因子: --
作者:
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