You determine the raise in culture growth following exposure to three different levels (A-C) of growth factor. The entire standard deviation from all cultures you measure is 5.49519418136512. You determine the follwing growth changes, which are simply percent changes from control:
Growth factor A -- mean:13.8 standard deviation:5 N=27
Growth factor B -- mean:15 standard deviation:3 N=26
Growth factor C -- mean:25.2 standard deviation:3.9 N=36
Calculate the Total Sum of Squares and the Mean Square Between Groups. The Within Groups Sum of Squares is 1407.3500 and the Mean Square Within Groups is 16.3645.