# Two Way ANOVA (Analysis of Variance) With Replication

## You Don't Have to be a Statistician to Conduct Two Way ANOVA Tests

Two-Way ANOVA (ANalysis Of Variance) , also known as two-factor ANOVA, can help you determine if two or more samples have the same "mean" or average. Note: Your data must be normal to use ANOVA.

### QI Macros Excel Add-in Makes Two Way ANOVA a Snap

- Installs a new tab on Excel's menu.
- Performs the calculations and interprets the results for you. Results indicate:
- Reject or Cannot Reject the Null Hypothesis
- Means are the Same or Means are Different

##### If you are not sure which statistical test to run, QI Macros Stat Wizard will select the right test for you.

### Two-Way ANOVA Test With Replication Example

What if you have two populations of patients (male/female) and three different kinds of medications, and you want to evaluate their effectiveness? You might run a study with three "replications", three men and three women.

#### To Conduct the Anova Test in Excel Using QI Macros:

- Click and drag over your data to select it
- Click on the QI Macros Menu, Statistical Tools and then ANOVA Two Factor with Replication.
- QI Macros will prompt you for how many rows are in each sample (three) and for a significance level. Default is alpha=0.05 for a 95% confidence.
- QI Macros will perform all of the calculations and interpret the results for you.

### Interpretation of the Two Way ANOVA Results

QI Macros built in code compares the p-values (0.179) to the signficance level (0.05) and tells you: "Cannot Reject the Null Hypothesis because p>0.05" and that the "Means are the same ".

### Watch This Video to See the QI Macros in Action

### Tips on Setting Up Your Data for Two-Factor with Replication

To analyze data, Excel requires you to set the data up in a way that can be analyzed.

The example below shows how to set up the data for two categories of patients treated with three different drugs.

Then, if you're just interested in the single factor DRUGS, select and run a ANOVA single factor on the three drug columns.

If you're interested in a ANOVA two-factor analysis (patients vs drugs), select and run a two-factor analysis with repetition (more than one patient in the category receives the same drug).

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