Use of Nested Orthogonal Contrasts in Analyzing Rank Data
作者:
JohnI. Marden,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1992)
卷期:
Volume 87,
issue 418
页码: 307-318
ISSN:0162-1459
年代: 1992
DOI:10.1080/01621459.1992.10475210
出版商: Taylor & Francis Group
关键词: Contingency tables;Discordant pairs;Kendall's tau;Mallows'sϕmodel;Orthogonal contrasts;Permutations;Rank statistics
数据来源: Taylor
摘要:
A data set consisting of 143 rankings of 10 occupations from a survey of Goldberg has been analyzed in a number of recent papers. The purpose of this paper is to use so-called “nested orthogonal contrasts” of the occupations to gain further insight into the data. A contrast is a comparison of subsets of the occupations based on their relative ranks; contrasts are orthogonal if the comparisons they represent are not confounded. Various models based on sets of orthogonal contrasts—including contingency table models, models analogous to those of Fligner and Verducci, and latent class models—are applied to the data. It is found that there are three main groups of occupations based on overall prestige, and within each group are distinctions between managerial and technical occupations.
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