论文标题
一些关于古德曼无边界对应分析的注释
Some notes on Goodman's marginal-free correspondence analysis
论文作者
论文摘要
Goodman（1996）在他的开创性论文中引入了无边缘的对应分析。他的主要目的是将皮尔逊相关性与尤尔的关联量度调和，以分析应急表。我们表明，无边缘的对应分析是对信函分析的一个特殊情况，其在1980年代初由Benzécri和他的学生研究的预先指定的权重。此外，我们表明它也是统一权重的求解分析的特定一阶近似。关键词：无边缘对应分析；求解分析；互动；比例不变性；出租车奇异价值分解。
In his seminal paper Goodman (1996) introduced marginal-free correspondence analysis; where his principal aim was to reconcile Pearson correlation measure with Yule's association measure in the analysis of contingency tables. We show that marginal-free correspondence analysis is a particular case of correspondence analysis with prespecified weights studied in the beginning of the 1980s by Benzécri and his students. Furthermore, we show that it is also a particular first-order approximation of logratio analysis with uniform weights. Key words: Marginal-free correspondence analysis; logratio analysis; interactions; scale invariance; taxicab singular value decomposition.
