This "quick start" guide shows you how to carry out a one-way ANOVA using Minitab, as well as how to interpret and report the results from this test. You need to conduct a post hoc test because the one-way ANOVA is an omnibus test statistic and cannot tell you which specific groups were significantly different from each other it only tells you that at least two groups were different. When there is a statistically significant difference between the groups, it is possible to determine which specific groups were significantly different from each other using a post hoc test. Alternately, a one-way ANOVA could be used to understand whether there is a difference in salary based on education level (i.e., your dependent variable would be "salary" and your independent variable would be "education level", which has three groups: "high school", "undergraduate degree" and "graduate degree"). If you have more than one dependent variable, you might need a one-way MANOVA.įor example, you can use a one-way ANOVA to determine whether weight loss is best achieved through exercise, diet, or exercise and diet combined (i.e., your dependent variable would be "weight loss", measured in kilograms, and your independent variable would be "intervention type", which has three groups: "exercise", "diet and "exercise and diet").
However, it is typically only used when you have three or more independent, unrelated groups, since an independent t-test is more commonly used when you have just two groups. The one-way analysis of variance (ANOVA) is used to determine whether the mean of a dependent variable is the same in two or more unrelated, independent groups of an independent variable.
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