Education Technology

Solution 34611: Computing One Way Analysis of Variance (ANOVA) Using theTI-84 Plus C Silver Edition.

How do I compute one way analysis of variance (ANOVA) using a TI-84 Plus C Silver Edition?

ANOVA is a procedure used to test the hypothesis that three or more different samples were all selected from populations with the same mean.

The example below shows how to compute a one way ANOVA using a TI-84 Plus C Silver Edition.

Example: To compare the distance traveled by three different brands of golf balls when struck by a driver, a completely randomized design is used. A robotic golfer, using a driver, is set up to hit a random sample of 24 balls (8 of each brand) in a random sequence.

Follow the steps below:

• Press [STAT] [1] to access the STAT list editor.
• Input the data for Brand A, Brand B and Brand C in L1, L2 and L3. Press [2nd] [QUIT] to return to the home screen.

• Press [STAT], scroll to the left to highlight TESTS and press [ALPHA] [H] to select the H:ANOVA( option. This will paste the ANOVA( function onto the home screen.

• Press [2ND] [L1] [,] [2ND] [L2] [,] [2ND] [L3] [ ) ] to input L1,L2,L3 and complete the ANOVA function.

• Press [ENTER] to calculate the ANOVA.

The p-value is 0.530657, which shows that there is not a significant difference between any of the mean distances traveled by the three brands of balls. In this case, the null hypothesis cannot be rejected.

Please see the TI-84 Plus C Silver Edition guidebook for additional information.