Robust ANCOVA: Confidence intervals that have some specified simultaneous probability coverage when there is curvature and two covariates

Robust ANCOVA: Confidence Intervals That Have Some Specified Simultaneous Probability Coverage When There Is Curvature And Two Covariates

The Regression Smoother LOWESS: A Confidence Band That Allows Heteroscedasticity And Has Some Specified Simultaneous Probability Coverage

ANCOVA: A Global Test Based on a Robust Measure of Location or Quantiles When There Is Curvature

For two independent groups, let Mj(x) be some conditional measure of location for the jth group associated with some random variable Y , given that some covariate X = x. When Mj(x) is a robust measure of location, or even some conditional quantile of Y , given X, methods have been proposed and studied that are aimed at testing H0: M1(x) = M2(x) that deal with curvature in a flexible manner. In ...

Simultaneous adjustment of bias and coverage probabilities for confidence intervals

A new method is proposed for the correction of confidence intervals when the original interval does not have the correct nominal coverage probabilities in the frequentist sense. The proposed method is general and does not require any distributional assumptions. It can be applied to both frequentist and Bayesian inference where interval estimates are desired. We provide theoretical results for t...

Why Believe That There Is a God?

This article presents an argument for the existence of God, showing that the evident phenomena are best explained by supposing that a God causes them. The argument is based on the inductive force of four very evident general phenomena: that there is a physical Universe; that it is governed by very simple natural laws; that those laws are such as to lead to the existence of human bodies; and tha...