Hayashi C
Environ Health Perspect. 1979 Oct;32:125-9. doi: 10.1289/ehp.7932125.
The theory of quantification is a method of statistical data analysis of categorical data. In other words, this is a kind of data theory and is closely related to optimum scaling method. This method has been mainly developed by Guttman in Israel and Hayashi in Japan. The multidimensional scaling method, which has been recently developed, is considered to be a continuation of the theory of quantification. Tanaka discussed mathematically some of Hayashi's methods of quantification. The present paper, gives an overview of the methods developed by him and other closely related methods and gives the orientation of those methods introduced by Tanaka. Then, as an illustration of exploratory categorical data analysis, the experimental data of Grizzle are analyzed by using the second method of quantification. The data structure is shown heuristically as a spatial configuration of factors in two-dimensional Euclidean space.
量化理论是一种对分类数据进行统计数据分析的方法。换句话说，这是一种数据理论，与最优尺度法密切相关。该方法主要由以色列的古特曼和日本的林崎发展而来。最近发展起来的多维尺度法被认为是量化理论的延续。田中从数学角度讨论了林崎的一些量化方法。本文概述了他所发展的方法以及其他密切相关的方法，并给出了田中所介绍方法的方向。然后，作为探索性分类数据分析的一个例证，使用第二种量化方法对格里兹尔的实验数据进行了分析。数据结构以二维欧几里得空间中因子的空间配置直观地展示出来。
