A **one-way ANOVA** is used to determine whether or not there is a statistically significant difference between the means of three or more independent groups.

This tutorial explains how to conduct a one-way ANOVA on a TI-84 calculator.

**Example: One-Way ANOVA on a TI-84 Calculator**

Suppose we recruit 30 students to participate in a study. The students are randomly assigned to use one of three studying techniques for one month to prepare for an exam. At the end of the month, all of the students take the same test.

Use the following steps to perform a one-way ANOVA to determine if the average scores are the same across all three groups.

**Step 1: Input the data.**

First, we will input the data values for both the explanatory and the response variable. Press Stat and then press EDIT. Enter the following exam scores for the students who used the first study technique in column L1, the second studying technique in column L2, and the third studying technique in column L3:

**Step 2: Perform the one-way ANOVA.**

Next, we will perform the one-way ANOVA. Press Stat and then scroll over to **TESTS**. Then scroll down to **ANOVA** and press Enter.

Enter the lists where the data is stored separated by commas, then add a closing parenthesis **)** and then press Enter.

**Note: **To make L1 appear, press 2nd and then press 1. To make L2 appear, press 2nd and then press 2. To make L3 appear, press 2nd and then press 3.

The following results will appear once you press Enter:

**Step 3: Interpret the results.**

The F-statistic for the test is **2.3575 **and the corresponding p-vaule is **0.1138**. Since this p-value is not less than 0.05, we fail to reject the null hypothesis.

Thus, we do not have sufficient evidence to say that the mean exam score is different between the three groups. That is, we don’t have sufficient evidence to say that the studying technique leads to different exam scores.