Exam 26: Multifactor Analysis of Variance

The following ANOVA table shows the results of an experiment used to test how race car drivers and different tracks affect time.The experiment used 3 different drivers on 4 different tracks.Assuming no effect from the interaction between driver and track,test the claim that the three drivers have the same mean time. Sum of Mean Source DF Squares Square F-ratio P-value Driver 2 2 1 0.33 0.729 Tradk 3 98.25 32.75 10.92 <0.0001 Error 6 18 3 Total 11 118.25

The following ANOVA table shows the results of an experiment used to test scores for males and females at 4 different times of day.Assuming no effect from the interaction between gender and test time,test the claim that males and females perform the same on the test. Sum of Mean Source DF Squares Square F-ratio P-value Gender 1 24.5 24.5 0.6652 0.4745 Time 3 183 61 1.6561 0.3444 Error 3 110.5 36.83 Total 7 318