An Intuitive Introduction to Hypothesis Testing

Introduction to Hypothesis Testing

Introduction to Hypothesis Testing

Statistical Hypothesis • Null hypothesis (H0): Hypothesis of no difference or no relation (or not guilty) and often has =, ≥, or ≤ notation in the mathematical statement of the hypothesis. A theory about the values of one (or more) population parameter(s). The theory generally represents the status quo, which we accept until it is proven false. Example: H0: μ = 98.6F (average body temperature i...

Introduction to Hypothesis Testing

Suppose we are using a pH meter to test acidity/alkalinity of a solution used in a manufacturing process. The pH of pure water is 7.00. For samples in the pH range from about 5 to 9 the meter gives normally distributed readings with • μ equal to the true pH of the sample and • standard deviation σ = 0.20. The meter is tested each morning to make sure it is operating properly: n = 4 samples of p...

HYPOTHESIS TESTING FOR AN EXCHANGEABLE NORMAL DISTRIBUTION

Consider an exchangeable normal vector with parameters ????2, and ?. On the basis of a vector observation some tests about these parameters are found and their properties are discussed. A simulation study for these tests and a few nonparametric tests are presented. Some advantages and disadvantages of these tests are discussed and a few applications are given.

An Introduction to Bayesian Hypothesis Testing for Management Research

In management research, empirical data are often analyzed using p-value null hypothesis significance testing (pNHST). Here we outline the conceptual and practical advantages of an alternative analysis method: Bayesian hypothesis testing and model selection using the Bayes factor. In contrast to pNHST, Bayes factors allow researchers to quantify evidence in favor of the null hypothesis. Also, Ba...