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http://dx.doi.org/10.5351/KJAS.2005.18.2.471

Collapsibility Using Raindrop Plot  

Hong C. S. (Department of Statistics, Sungkyunkwan University)
Kim B. J. (Department of Statistics, Sungkyunkwan University)
Park J. Y. (Department of Statistics, Sungkyunkwan University)
Publication Information
The Korean Journal of Applied Statistics / v.18, no.2, 2005 , pp. 471-485 More about this Journal
Abstract
For categorical data analysis, the collapsibility were explained with the odds ratio (cross-product ratio). When these theories with these odds ratios are applied to real $2{\times}2{\times}K$ contingency tables, it is impossible to decide whether data are collapsible. Among graphical methods to represent odds ratios, Contour plot which is developed by Doi, Nakamura and Yamamoto (2001) could explain the structure of these data, but cannot decide on the collapsibility. In this paper, by using the Raindrop plot proposed by Barrowman and Myers (2003), we suggest an alternative method which can not only explain the structure of data, but also decide on the collapsibility.
Keywords
Odds ratio; Cross-product ratio; Collapsibility; Log-linear model;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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