• Title, Summary, Keyword: Correspondence Analysis

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Robust Simple Correspondence Analysis

  • Park, Yong-Seok;Huh, Myung-Hoe
    • Journal of the Korean Statistical Society
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    • v.28 no.3
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    • pp.337-346
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    • 1999
  • Simple correspondence analysis is a technique for giving a joint display of points representing both the rows and columns of an n$\times$p two-way contigency table. In simple correspondence analysis, the singular value decomposition is the main algebraic tool. But, Choi and Huh(1996) pointed out the singular value decomposition is not robust. Instead, they developed a robust singular value decomposition and provided applications in principal component analysis and biplots. In this article, by using the analogous procedures of Choi and Huh(1996), we derive a robust version of simple correspondence analysis.

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Visualizations for Matched Pairs Models Using Modified Correspondence Analysis

  • Lee, Chanyoon;Choi, Yong-Seok
    • Communications for Statistical Applications and Methods
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    • v.21 no.4
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    • pp.275-284
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    • 2014
  • Matched pairs are twice continuously measured data with the same categories. They can be represented as the square contingency tables. We can also consider symmetry and marginal homogeneity. Moreover, we can infer the matched pairs models; the symmetry model, the quasi-symmetry model, and the ordinal quasi-symmetry model. These inferences are involved in assumptions for special distributions. In this study, we visualize matched pairs models using modified correspondence analysis. Modified correspondence analysis can be used when square contingency tables are given; consequently, it is involved in the square and asymmetric correspondence matrix. This technique does not need assumptions for special distributions and is more helpful than the correspondence analysis to visualize matched pairs models.

Dynamic Simple Correspondence Analysis

  • Choi Yong-Seok;Hyun Gee Hong;Seo Myung Rok
    • Communications for Statistical Applications and Methods
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    • v.12 no.1
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    • pp.199-205
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    • 2005
  • In general, simple correspondence analysis has handled mainly correspondence relations between the row and column categories but can not display the trends of their change over the time. For solving this problem, we will propose DSCA(Dynamic Simple Correspondence Analysis) of transition matrix data using supplementary categories in this study, Moreover, DSCA provides its trend of the change for the future by predicting and displaying trend toward the change from a standard point of time to the next.

Correspondence Analysis of Two-way Contingency Tables with Ordered Column Categories

  • Yang, Kyung-Sook;Huh, Myung-Hoe
    • Journal of the Korean Statistical Society
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    • v.28 no.3
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    • pp.347-358
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    • 1999
  • Correspondence analysis is an exploratory method for two-way contingency tables intended to display the association pattern between row and column categories. It has been developed for several decades mainly in France and Japan and, nowadays, is popular worldwide. For the special case, however, that the column consists of ordered categories, correspondence analysis may yield ackward result so that it cannot be fully accommodated. That's because the row and column categories are assumed to be nominal in the ordinary correspondence analysis. The aim of this study is to develop the correspondence analysis for two-way contingency tables with ordered column categories. It is based on two specific algorithms,

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An Identification of Outlying Cells in Contingency Table via Correspondence Analysis Map

  • Hong, Chong Sun;Lee, Jong Cheol
    • Communications for Statistical Applications and Methods
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    • v.8 no.1
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    • pp.39-49
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    • 2001
  • When an appropriate model is fitted to explain a certain categorical data, outlying cell detection plays very important role to reduce the lack of fit. There exist many statistical methods to identify outlying cells in contingency table. In this paper, correspondence analysis is applied to identify one or two outlying cells. When corresponding relationships between categories of the row and columns are explored, we find that outlying cells could be identified via the correspondence analysis map.

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Development of Fuzzy Objective Functioin for Establishing the Region Correspondence

  • Soh, Young-sung
    • Journal of the Korean Institute of Intelligent Systems
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    • v.2 no.3
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    • pp.22-28
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    • 1992
  • One of the challenging problems in dynamic scene analysis is the correspondence problem. Points and lines have been two major entities for establishing the correspondence among suxcessive frmes and gave rise to discrete approach to dynamic scene analysis. SOme researchers take continuous approach to analyse the motion. There it is usually assumed that some sort of region correspondence has already been established. In this paper, we propose a method based on fuzzy membership function for solving region correspondence problem.

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Reinterpretation of Multiple Correspondence Analysis using the K-Means Clustering Analysis

  • Choi, Yong-Seok;Hyun, Gee Hong;Kim, Kyung Hee
    • Communications for Statistical Applications and Methods
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    • v.9 no.2
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    • pp.505-514
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    • 2002
  • Multiple correspondence analysis graphically shows the correspondent relationship among categories in multi-way contingency tables. It is well known that the proportions of the principal inertias as part of the total inertia is low in multiple correspondence analysis. Moreover, although this problem can be overcome by using the Benzecri formula, it is not enough to show clear correspondent relationship among categories (Greenacre and Blasius, 1994, Chapter 10). In addition, they show that Andrews' plot is useful in providing the correspondent relationship among categories. However, this method also does not give some concise interpretation among categories when the number of categories is large. Therefore, in this study, we will easily interpret the multiple correspondence analysis by applying the K-means clustering analysis.

Correspondence analysis for studying association between geography and cancer

  • Song, Joon-Jin;Yu, Pingjian;Ren, Yuan;Chung, Ming-Hua
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.5
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    • pp.919-924
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    • 2009
  • Geographical location carries information such as demography, local economy, environment, and life styles, which could be the sources of cancer occurrence. Analyzing geographical location associated with cancer occurrence can be instructive to physicians, patients, and health administrators regarding resource allocation, expenditures, prophylaxis and treatments. In this paper, we explored the correspondence relationship between geographical locations and mortality rates of the cancers using correspondence analysis and illustrated the approach with the mortality rates of the top 10 cancers in the 75 counties in Arkansas from 2001 to 2005. Geographical variations with respect to the mortality rates of cancers are evaluated across Arkansas counties. Based on the contingency table, correspondence analysis model is developed and the simple indices which indicate the degree to which the regions and the cancers affect each other are calculated. Quantitative results are visualized and mapped in two-dimensional graphs.

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INFLUENCE FUNCTIONS IN MULTIPLE CORRESPONDENCE ANALYSIS (다중 대응 분석에서의 영향 함수)

  • Hong Gie Kim
    • The Korean Journal of Applied Statistics
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    • v.7 no.1
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    • pp.69-74
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    • 1994
  • Kim (1992) derived influence functions of rows and columns on the eigenvalues obtained in correspondence analysis (CA) of two-way contingency tables. As in principal component analysis, the eigenvalues are of great importance in CA. The goodness of a two dimensional correspondence plot is determined by the ratio of the sum of the two largest eigenvalues to the sum of all the eigenvalues. By investigating those rows and columns with high influence, a correspondence plot may be improved. In this paper, we extend the influence functions of CA to multiple correspondence analysis (MCA), which is a CA of multi-way contigency tables. An explicit formula of the influence function is given.

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Study on the Pattern of Environmental Regulation Violation of the Korean Firms : positive analysis using the correspondence analysis (한국기업의 환경법규위반패턴에 관한 연구 : 대응분석을 이용한 실증적 분석)

  • 최용석;강상목
    • Journal of Environmental Science International
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    • v.3 no.4
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    • pp.445-450
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    • 1994
  • The environmental regulation violation of the Korean firms is causing severe environmental pollution lately. Nevertheless, there are few studies on the firm's pattern of environmental regulation violation. In this paper, for the pattern of environmental regulation violation of the Korean firms, we give a type of statistical data analysis using the correspondence analysis. Therefore, with more effective control and inspection based on this, we have an effective and enforceable system decreasing the violative firms.

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