Why Welch's test is Type I error robust

Type I and II error

Type I error A type I error occurs when one rejects the null hypothesis when it is true. The probability of a type I error is the level of significance of the test of hypothesis, and is denoted by *alpha*. Usually a one-tailed test of hypothesis is is used when one talks about type I error. Examples: If the cholesterol level of healthy men is normally distributed with a mean of 180 and a standa...

Human T Lymphotropic Virus Type I (HTLV-I) is a Risk Factor for Coronary Artery Disease

A comparison of type I error and power of Bartlett’s test, Levene’s test and Cochran’s test under violation of assumptions

Vorapongsathorn, T., Taejaroenkul, S. and Viwatwongkasem, C. A comparison of type I error and power of Bartlett’s test, Levene’s test and Cochran’s test under violation of assumptions Songklanakarin J. Sci. Technol., 2004, 26(4) : 537-547 This study compared the probability of Type I error and the power of three statistical tests (Bartlett, Levene and Cochran) by varying the sampling distributi...

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...

Type I Error Control for Tree Classification

Binary tree classification has been useful for classifying the whole population based on the levels of outcome variable that is associated with chosen predictors. Often we start a classification with a large number of candidate predictors, and each predictor takes a number of different cutoff values. Because of these types of multiplicity, binary tree classification method is subject to severe ...