Education Technology

# Knowledge Base

## 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.

L1 L2 L3 Brand 264.3 262.9 241.9 258.6 259.9 238.6 266.4 264.7 244.9 256.5 254 236.2 182.7 191.2 167.3 181 189 165.9 177.6 185.5 162.4 187.3 192.1 172.5 221.8 224.9 203.7 42.8 38.08 39.4 8 8 8

1) Press [STAT] [1] 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.