Round Robin Analysis of Variance via Maximum Likelihood
作者:
GeorgeY. Wong,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1982)
卷期:
Volume 77,
issue 380
页码: 714-724
ISSN:0162-1459
年代: 1982
DOI:10.1080/01621459.1982.10477876
出版商: Taylor & Francis Group
关键词: Round robin designs;Mixed linear model;Posterior interval estimation of linear effect;Maximum likelihood estimation of covariance component;EM algorithm
数据来源: Taylor
摘要:
A class of two-way random-effects models is presented for analyzing data that arise in a large variety of round robin designs. Examples of such designs can be found in numerous games, tournaments, and social interactions. The proposed models provide information not only about individual differences but also about the mutual contingency of the behaviors of interaction dyads. The statistical inference of the linear effects is discussed and a converging algorithm based on the EM algorithm is proposed for obtaining the maximum likelihood estimates of the covariance components. A balanced data set is analyzed using the methodology developed.
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