Introduction to Linear Regression Analysis Linear regression models Parameter estimation Testing hypotheses Confidence and prediction intervals Confidence Bands for One Simple Regression Model Preliminaries Hyperbolic bands Three-segment bands Two-segment bands Other confidence bands Extensions and restrictions of a confidence band Comparison of confidence bands Confidence bands for percentiles and tolerance bands Bayesian simultaneous credible bands Confidence Bands for One Multiple Regression Model Hyperbolic bands over the whole space Hyperbolic bands over a rectangular region Constant width bands over a rectangular region Hyperbolic bands over an ellipsoidal region Constant-width bands over an ellipsoidal region Other confidence bands Assessing Part of a Regression Model Partial Ftest approach Hyperbolic confidence bands Assessing equivalence to the zero function Comparison of Two Regression Models Partial F test approach Hyperbolic bands over the whole space Confidence bands over a rectangular region Confidence bands over an ellipsoidal region Assessing the equivalence of two models Comparison of More Than Two Regression Models Partial Ftest approach Hyperbolic confidence bands for all contrasts Bands for finite contrasts over rectangular region Bands for finite contrasts over ellipsoidal region Equivalence of more than two models Confidence Bands for Polynomial Regression Confidence bands for one model Confidence bands for part of a polynomial model Comparison of two polynomial models Comparison of more than two polynomial models Confidence Bands for Logistic Regression Introduction to logistic regression Bands for one model Bands for comparing two models Bands for comparing more than two models Appendix A: Approximation of the Percentile of a Random Variable Appendix B: Computation of Projection π (t,P,Xr) Appendix C: Computation of Projection π*(t,W,X2) Appendix D: Principle of Intersection-Union Test Appendix E: Computation of the K-Functions in Chapter 7 Bibliography Index.
Simultaneous Inference in Regression