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Attributs	Valeurs
type	work Article
Is Part Of	http://hub.abes.fr/oup/periodical/biomet/1984/volume_71/issue_1/w
Subject	Measure of association Interaction Two by two table Coefficient of colligation Partial randomization Contingency table Simpson's paradox MISCELLANEA
Title	Maximal Simpson-disaggregations of 2×2 tables
has manifestation of work	http://hub.abes.fr/oup/periodical/biomet/1984/volume_71/issue_1/101093biomet711187/m/print http://hub.abes.fr/oup/periodical/biomet/1984/volume_71/issue_1/101093biomet711187/m/web
related by	http://hub.abes.fr/oup/periodical/biomet/1984/volume_71/issue_1/101093biomet711187/authorship/1
Author	ZIDEK JIM
Abstract	A 2 × 2 table of frequencies can be expressed as the sum of two other tables corresponding to the levels of a real or potential ‘masked’ factor in which the direction of the apparent association between the marginal factors is opposite that of the original. This paper analyses the counterpart of this disaggregation obtained by replacing frequencies by probabilities. It is shown that such a disaggregation cannot occur if the original experiment is sufficiently well-balanced with respect to this masked factor. When the class of such disaggregations is nonempty that of its elements which maximizes the average absolute differences of certain marginal probabilities in the resulting tables is found.
article type	other
publisher identifier	71.1.187
is part of this journal	Biometrika

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