Chapter 17
Tests in variance analysis
Analysis of variance (ANOVA) in its simplest form analyzes if the mean of a Gaussian random variable differs in a number of groups. Often the factor which determines each group is given by applying different treatments to subjects, for example, in designed experiments in technical applications or in clinical studies. The problem can thereby be seen as comparing group means, which extends the t-test to more than two groups. The underlying statistical model may also be presented as a special case of a linear model. In Section 17.1 we handle the one- and two-way cases of ANOVA. The two-way case extends the treated problem to groups characterized by two factors. In this case it is also of interest if the two factors influence each other in their effect on the measured variable, and hence show an interaction effect. One of the crucial assumptions of an ANOVA is the homogeneity of variance within all groups. Section 17.2 deals with tests to check this assumption.
17.1 Analysis of variance
17.1.1 One-way ANOVA
| Description: | Tests if the mean of a Gaussian random variable is the same in  groups. |
| Assumptions: |
|
, 
, be independent samples of independent ...Get Statistical Hypothesis Testing with SAS and R now with the O’Reilly learning platform.
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