Hypothesis+Testing

Hypothesis Testing (GWU EMSE-271)
Index | Topics (Logical Lectures) | Lectures | Problems | Readings | References | Concepts [confidence intervals | null hypothesis | interpretation (CHECK) slides 72-73 | acceptance and rejection terminology | Type I and Type II errors | power | p-value]

//** EMSE 280, Spring 2009 Wiki Extract **//

Note: "Key technique of frequentist" (classical) " statistical inference" as opposed to Bayesian inference. - [|Wikipedia]


 * Quick Answer(s):**
 * 1) "A **statistical hypothesis test** is a method of making statistical decisions using experimental data." - [|Wikipedia]
 * 2) "the question of interest is simplified into two competing claims / hypotheses between which we have a choice; the null hypothesis, denoted H0, against the alternative hypothesis, denoted H1. These two competing claims / hypotheses are not however treated on an equal basis: special consideration is given to the null hypothesis." - [|Statistics Glossary]

 "There is a connection between Confidence intervals and hypothesis testing." - Van Dorp (Slide 72). Confidence Intervals determine the range in which the test data needs to fit for a given significance -- expressed as a percentage (%) Mean Hypothesis Testing and Variance Hypothesis Testing is similar. Just like in Confidence Intervals, different distributions are used but evaluation techniques are the same.

Important concepts include the "null hypothesis," acceptance and rejection terminology, Type I and Type II errors, and the p-value.


 * Sources:**
 * EMSE 280, Spring 2009
 * EMSE 271, Spring 2009 (Slides 72-83)