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Regional Dependence for Continuous Bivariate Densities

Author(s):
Holland, Paul W.; Wang, Yuchung J.
Publication Year:
1986
Report Number:
RR-86-15, PSRTR-86-66
Source:
ETS Research Report
Document Type:
Report
Page Count:
15
Subject/Key Words:
Distribution Theory, Multivariate Analysis, Statistical Analysis

Abstract

When the region of support for a continuous bivariate density is not a cartesian product set, the joint distribution cannot be independent. This is closely related to the effects caused by "structural zeros" in two-way contingency tables. Non-rectangular regions of support of continuous densities are analogous to the incomplete two-way tables. Quasi-independence is introduced to replace independence. A measure of association to quantify the degree of dependence due to region is defined, discussed, and applied to several examples. (20pp.)

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