One-Way ANOVA on a Calculator

Probability, Random Variables and Random Signal Principles

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One-Way ANOVA on a Calculator, A one-way ANOVA (Analysis of Variance) is a statistical method used to determine if there are significant differences between the means of three or more independent groups.

One-Way ANOVA on a Calculator

This tutorial provides a step-by-step guide on how to perform a one-way ANOVA using a TI-84 calculator.

Example: One-Way ANOVA Scenario

Imagine we recruit 30 students for a study in which they are randomly assigned to use one of three different studying techniques for one month.

After the study period, all students take the same exam. The objective is to analyze whether the average exam scores differ across the three groups.

Step 1: Enter the Data

The first step is to input the exam scores for each group into the TI-84 calculator.

Press the STAT button.
Select EDIT to access the lists.
Enter the exam scores for the first studying technique in Column L1, the second technique in Column L2, and the third technique in Column L3.

Step 2: Perform the One-Way ANOVA

Now we will execute the one-way ANOVA:

Press the STAT button again.
Scroll over to TESTS.
Continue scrolling until you find the ANOVA option and press ENTER.

Now, you’ll need to input the lists where you stored your data:

Type in L1, L2, L3 to indicate the data lists. To enter the list names:
Press 2nd and then 1 for L1.
Press , (comma).
Press 2nd and then 2 for L2.
Press , (comma).
Press 2nd and then 3 for L3.

Your input should look like this: ANOVA(L1, L2, L3). Press ENTER to proceed.

Step 3: Interpret the Results

After pressing ENTER, the calculator will output the results of the one-way ANOVA:

You will see the F-statistic, which might be around 2.3575, and the corresponding p-value, perhaps 0.1138.

To draw conclusions:

Since the p-value (0.1138) is greater than the significance level (0.05), we fail to reject the null hypothesis.
This indicates that there is not enough evidence to claim that the mean exam scores differ among the three groups. In other words, we cannot conclude that the studying techniques lead to different exam outcomes.

Conclusion

The one-way ANOVA procedure on the TI-84 calculator provides an efficient way to determine if there are significant differences among multiple group means.

By following the steps outlined above, you can easily analyze data and make informed decisions based on statistical evidence.

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