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Exact simultaneous confidence bands for a collection of univariate polynomials in regression analysis
1Department of Statistics, University of Wisconsin-Madison 53792-4675, USA. kosorok@biostat.wisc.edu
Statistics in Medicine
|April 21, 1999
Abstract:
We discuss a simple simulation method for construction of exact confidence bands, having a pre-assigned confidence level simultaneously for several regression functions which are univariate polynomials in the predictors. This is accomplished by combining and extending existing results in a manner that permits both finite and infinite ranges for individual predictor variables. We illustrate the method for a logistic regression model with both dichotomous and continuous predictors.