A distribution-free test for symmetry in hierarchical data

Bhapkar, V. P ; Gore, A. P (1973) A distribution-free test for symmetry in hierarchical data Journal of Multivariate Analysis, 3 (4). pp. 483-489. ISSN 0047-259X

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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0047-259X(73)90036-5

Abstract

Distribution-free tests for permutational symmetry of correlated variables have been offered recently in the literature. However, situations arise when all the planned measurements are available only on some subjects, while others drop out at various stages of the experiment. The present paper offers a distribution-free statistic for testing permutational symmetry of correlated variables in such hierarchical data, and develops a larg-sample chi-square approximation. Explicit expressions for the test statistic have been provided for some special cases.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Hierarchical Data; Symmetry; Permutation; Invariance; Distribution-free; Asymptotic Distribution
ID Code:69964
Deposited On:14 Nov 2011 09:01
Last Modified:14 Nov 2011 09:01

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