Below is the raw data for an experiment. Conduct the appropriate ANOVA hypothesis test with α\displaystyle \alpha=0.01, calculating the appropriate bracketed terms, and filling in the source table.

If decimals exceed 3 places, round to 3 places.

Participant Black G1 G2 G3 White

A

4 5 5 1 6
B 4 2 3 4 6
C 2 6 3 4 1
D 5 3 6 2 4

\displaystyle [Y]\displaystyle {\left[{Y}\right]} =

 [A]\displaystyle {\left[{A}\right]}  =

 [S]\displaystyle {\left[{S}\right]}  =

 [T]\displaystyle {\left[{T}\right]}  =

 

Source of Variation
SS df MS (S²) F
Between Groups
Subjects
Error
Total


 Fcrit\displaystyle {F}_{\text{crit}}  =

Based upon the results of your ANOVA, do you reject, or fail to reject the null hypothesis?

What is the effect size of this study?

R2\displaystyle {R}^{{2}} =