Example Problem 3.24 Complete analysis
Check the data Look for missing values Look for “impossible” values, usually data entry problems Look for balance (or not) in the data
Make sure data imported correctly
Draw Layout and Model Layout: Model:
Specify Model in software (JMP, SAS, etc.)
Plot the data
Get descriptive Statistics and error bars
Do One-way ANOVA which computes F-Statistic, predicted and residual values
The hypothesis test:
Since Brand is a significant treatment effect, do a means test (multiple range procedure) on treatment means.
Hypotheses tested by Tukey range procedure
Now output the Residual and Predicted values to do diagnostics on.
Plot and test of Normality
Check variances Plot Test
Assumptions met or not. Assumptions met, summarize results. Assumptions not met, diagnose problem, either use Box-Cox transformation and rerun the ANOVA using the transformed response variable, or use a nonparametric procedure.