Yule's Association Paradox and Ignored Stratum Heterogeneity in
Joseph B. Kadane - Michael M. Meyer -
John W. Tukey
This paper explores a reparameterization of a table. This
reparameterization turns out to be useful in considering the
consequences of amalgamating several tables. A formal
theorem is derived permitting a characterization of Yule's Association
Paradox. The same theorem also permits discussion of the likely
direction of error in using tag-retag methods to estimate the size of
a population. This has implications for the ``wily trout'' argument in
the census correction controversy.
Keywords: census, reparameterization, Simpson paradoxes,
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