One Way ANOVA Test

Use One-Way ANOVA when you have a categorical factor and a continuous response and want to determine whether the population means of two or more groups differ. If the ANOVA finds that at least one group is different, perform a comparisons analysis to identify pairs of groups that are significantly different.
For example: A chemical engineer wants to compare the hardness of four blends of paint. Six samples of each paint blend were applied to a piece of metal. The pieces of metal were cured. Then each sample was measured for hardness. In order to test for the equality of means and to assess the differences between pairs of means, the analyst uses one-way ANOVA with multiple comparisons.