STAGE 2: The second stage of analysis determines the numerators for the F-ratio. Specifically, this stage determines the between-treatments variance for factor A, factor B, and the interaction. Show your work.(0.50 pt/question)
7. Calculate SSA: Σ(T2row/nrow) – G2/N
8. Calculate dfA: # of rows -1
9. Calculate SSB: Σ(T2col/ncol) – G2/N
10. Calculate dfB: # of columns –
11. Calculate SSAxB: SSbetween-SSA-SSB
12. Calculate dfAxB: dfbetween- dfA – dfB
13. Calculate MSwithin: SSwithin/dfwithin
14. Calculate MSA: SSA/dfA
15. Calculate MSB: SSB/dfB
16. Calculate MSAxB: SSAxB/dfAxB
Finally, calculate the three F-ratios:
17. FA = MSA/MSwithin
18. FB = MSB/MSwithin
19. FAxB= MSAxB/MSwithin
Are these F-ratios significant at the .05 level? Find the critical F values for each hypothesis and make a statistical decision. (hint: the df for both factors and the interaction are 1, 36)
20. *F-critical for df(1, 36) =
FA = (compare to F-critical)
FB = (compare to F-critical)
FAxB = (compare to F-critical)