Exact simultaneous confidence bands for a collection of univariate polynomials in regression analysis.
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.
Kosorok
M R
MR
Department of Statistics, University of Wisconsin-Madison 53792-4675, USA. kosorok@biostat.wisc.edu
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D000818:Animals; D016001:Confidence Intervals; D004305:Dose-Response Relationship, Drug; D005260:Female; D007306:Insecticides; D008297:Male; D015233:Models, Statistical; D009036:Moths; D011722:Pyrethrins; D012044:Regression Analysis; D012737:Sex Factors
D007306:Insecticides; D011722:Pyrethrins; C017160:cypermethrin