Can you do ANOVA with 3 variables?

A three-way ANOVA tests which of three separate variables have an effect on an outcome, and the relationship between the three variables. It is also called a three-factor ANOVA, with ANOVA standing for “analysis of variance.”

What is a 3 way ANOVA example?

A three-way ANOVA (also called a three-factor ANOVA) has three factors (independent variables) and one dependent variable. For example, time spent studying, prior knowledge, and hours of sleep are factors that affect how well you do on a test.

Is ANOVA used for 3 or more groups?

A one-way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables. If no true variance exists between the groups, the ANOVA’s F-ratio should equal close to 1.

How many interactions does a 3 way ANOVA have?

In short, a three-way interaction means that there is a two-way interaction that varies across levels of a third variable.

Can ANOVA be used for more than 2 groups?

Typically, a one-way ANOVA is used when you have three or more categorical, independent groups, but it can be used for just two groups (but an independent-samples t-test is more commonly used for two groups).

What statistical test should I use to compare three groups?

Choosing a statistical test

Type of Data
Compare three or more unmatched groups One-way ANOVA
Compare three or more matched groups Repeated-measures ANOVA
Quantify association between two variables Pearson correlation
Predict value from another measured variable Simple linear regression or Nonlinear regression

How do you do a 3 way ANOVA in Excel?

To do this, enter Ctrl-m and select the Three Factor ANOVA option from the menu that appears. When the dialog box in Figure 1 appears, enter A3:D38 in the Input Range, unclick Column headings included with data, select Std by Columns as the Input Format, select ANOVA as the Analysis Type and click on the OK button.

How do you interpret a 3 way interaction ANOVA?

A three way interaction means that the interaction among the two factors (A * B) is different across the levels of the third factor (C). If the interaction of A * B differs a lot among the levels of C then it sounds reasonable that the two way interaction A * B should not appear as significant.

How do you test a 3 way interaction?

Summary of Steps

  1. Run full model with three-way interaction. 1a) Capture SS and df residual.
  2. Run two-way interaction at each level of third variable. 2a) Capture SS and df for interactions.
  3. Run one-way model at each level of second variable.
  4. Run pairwise or other post-hoc comparisons if necessary.