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 | Brand A | Brand B | Brand C |
| Distance | 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 | |
| Mean | 221.8 | 224.9 | 203.7 |
| Standard Deviation | 42.8 | 38.08 | 39.4 |
| N | 8 | 8 | 8 |
Follow the steps below:
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.