Smoothing ordered sparse contingency tables and the x2 test

Klaus Abberger (University of Konstanz, Germany)

To estimate cell probabilities for ordered sparse contingency tables several smoothing techniques have been investigated. It has been recognized that nonparametric smoothing methods provide estimators of cell probabilities that have better performance than the pure frequency estimators. With the help of simulation examples it is shown in this paper that these smoothing techniques may help to get test which are more powerful than Chi-Squared test with raw data. But the distribution of the Chi-Squared statistics after smoothing is unknown. This distribution can also be estimated by simulation methods.

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Year of publication:	[2002]
Authors:	Abberger, Klaus
Publisher:	[Konstanz] : [Zentrum für Finanzen und Ökonometrie, Universität Konstanz]
Subject:	nonparametric estimation \| local polynomial smoothers \| local likelihood \| sparse contingency tables \| Chi-Squared test \| independence test \| Qualitative Methode \| Qualitative method \| Schätztheorie \| Estimation theory \| Statistischer Test \| Statistical test \| Theorie \| Theory