Solution 16489: Computing One Way Analysis of Variance (ANOVA) Using the TI-83 Plus Family, TI-84 Plus Family and TI-Nspire™ Handheld in TI-84 Plus Mode.
How do I compute one way analysis of variance (ANOVA) using a TI-83 Plus family, TI-84 Plus family and TI-Nspire handheld in TI-84 Plus mode?
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-83 Plus family, TI-84 Plus family and TI-Nspire handheld in TI-84 Plus mode.
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. The distance is recorded for each hit, and the results are shown in the table below, organized by brand.
|Brand||Brand A||Brand B||Brand C|
Follow the steps below:
1) Press [STAT]  to access the STAT list editor.
2) Input the data for Brand A, Brand B and Brand C in L1, L2 and L3. Press [2nd] [MODE] to return to the home screen.
3) Press [STAT], scroll to the left to highlight TESTS and press [ALPHA] [^] to select the H:ANOVA( option. This will paste the ANOVA( function onto the home screen.
4) Input L1,L2,L3. Press the [ ) ] key to complete the ANOVA function.
5) 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-83 family and TI-84 Plus family guidebooks for additional information.
TI-Nspire handheld in TI-84 Plus mode users may refer to the TI-84 Plus family guidebook.