Question

can you please explain how to find AxB

OVA (Analysis of Variance) X (123) Stats-ch 12 CONT - YouTX courses/13759/quizzes/60230/take endar RightNow Media: 16 Bible verses abo.. football zoo, How to fix Error 0x Factorial ANOVA Given the following data, complete the summary table below for a 2x2 ANOVA: N-80 k=4 Source SS df MS F р A 8.5 1 8.5 B 4.6 1 4.6 AXB 1 Within 285.6 I Total 391.3 79 Example Answer Formats: SS-25.2 df-52 MS-52.52 F-52.52

Answer 1

SS_AXB = SS_total - SS_A - SS_B - SS_within = 391.3 - 285.6 - 8.5 - 4.6 = 92.6

df _within = df_total - df_A - df_B - df_AXB = 79 -1-1-1 = 76

MS_AXB = SS_AXB / df_AXB = 92.6/1 = 92.6

MS_within = SS_within / df_within = 285.6/76 = 3.7579

F_A = $\frac{MS_{A}}{MS_{within}}$ = $\frac{8.5}{3.7579} = 2.2619$

F_B = $\frac{MS_{B}}{MS_{within}}$ =

4.6 = 1.2241 3.7579

F_AXB = $\frac{MS_{AXB}}{MS_{within}}$ = $\frac{92.6}{3.7579} = 75.6536$

The anova table is :

Source	SS	df	MS	F	P
A	8.5	1	8.5	2.2619
B	4.6	1	4.6	1.2241
A X B	92.6	1	92.6	75.6536
Within	285.6	76	3.76	-
Total	391.3	79	-	-