Detecting Unequal Marginal Scales in a Bivariate Population
作者:
JamesL. Kepner,
RonaldH. Randles,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1982)
卷期:
Volume 77,
issue 378
页码: 475-482
ISSN:0162-1459
年代: 1982
DOI:10.1080/01621459.1982.10477835
出版商: Taylor & Francis Group
关键词: Bivariate symmetry;Scale test;Paired data;Nonparametric;Conditional test
数据来源: Taylor
摘要:
A conditional test is proposed that uses the null hypothesis of bivariate symmetry to detect unequal marginal scales in a bivariate population. The asymptotic normality of the test statistic and the consistency of the test are established. Asymptotic relative efficiency comparisons are made with the standard parametric test in both the bivariate normal case and in a trivariate reduction model case and with two of Sen's (1967) tests in the bivariate normal case. The good performance of the test is also illustrated via a Monte Carlo study.
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