What is ANOVA and when is it the appropriate statistical tec

What is ANOVA and when is it the appropriate statistical technique? What test is used to determine significance? Give an example of a research question that can be analyzed using ANOVA.

Solution

Analysis of variance (ANOVA) is a collection of statistical models used to analyze the differences among group means and their associated procedures (such as \"variation\" among and between groups.

In its simplest form, ANOVA provides a statistical test of whether or not the means of several groups are equal, and therefore generalizes the t-test to more than two groups. As doing multiple two-sample t-tests would result in an increased chance of committing a statistical type I error, ANOVAs are useful for comparing (testing) three or more means (groups or variables) for statistical significance.

2) F test is used to determine significance

#) Example:Consider this example: Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the hypothetical data provided below, test whether the mean pressure applied to the driver’s head during a crash test is equal for each types of car. Use = 5%.