The following figure displays the data per method and helps to show how ANOVA works. How ANOVA Worksīasically, ANOVA compares two types of variances: the variance within each sample and the variance between different samples. But note: ANOVA is not used to show that variances are different (that is a different test) it is used to show that means are different. The technique requires the analysis of different forms of variances – hence the name. But if each test is 0.05, the probability of making a Type 1 error when running three tests would increase.Ī better method is ANOVA (analysis of variance), which is a statistical technique for determining the existence of differences among several population means. One way is to use multiple two-sample t-tests and compare Method 1 with Method 2, Method 1 with Method 3 and Method 2 with Method 3 (comparing all the pairs). It is thought that the population means of the three methods m 1, m 2 and m 3 are not all equal (i.e., at least one m is different from the others). The results are summarized in the following table: Three methods used to dissolve a powder in water are compared by the time (in minutes) it takes until the powder is fully dissolved.
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