You should have enough observations in your data set to be able to find the mean of the quantitative dependent variable at each combination of levels of the independent variables.īoth of your independent variables should be categorical.
Planting densities 1 and 2 are levels within the categorical variable planting density. Fertilizer types 1, 2, and 3 are levels within the categorical variable fertilizer type. A level is an individual category within the categorical variable. It can be divided to find the average bushels per acre.Ī categorical variable represents types or categories of things. Bushels per acre is a quantitative variable because it represents the amount of crop produced. You can use a two-way ANOVA when you have collected data on a quantitative dependent variable at multiple levels of two categorical independent variables.Ī quantitative variable represents amounts or counts of things. Frequently asked questions about two-way ANOVA.How to present the results of a a two-way ANOVA.Interpreting the results of a two-way ANOVA.You can use a two-way ANOVA to find out if fertilizer type and planting density have an effect on average crop yield. You assign different plots in a field to a combination of fertilizer type (1, 2, or 3) and planting density (1=low density, 2=high density), and measure the final crop yield in bushels per acre at harvest time. ExampleYou are researching which type of fertilizer and planting density produces the greatest crop yield in a field experiment. Use a two-way ANOVA when you want to know how two independent variables, in combination, affect a dependent variable.
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Try for free Two-Way ANOVA | Examples & When To Use ItĪNOVA (Analysis of Variance) is a statistical test used to analyze the difference between the means of more than two groups.Ī two-way ANOVA is used to estimate how the mean of a quantitative variable changes according to the levels of two categorical variables.
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