Question

(Round all intermediate calculations to at least 4 decimal places.) The following observations were obtained when conducting a two-way ANOVA experiment with no interaction. Use Table 4 lick here for the Excel Data File Factor A Factor B 4 4 6 J for Factor B 2.750 6.000 9.250 X 6.000 2 2 8 5.333 10 6.000 X, for Factor A 6.000 6.667 a. Calculate SST, SSA, SSB, and SSE. (Round your answers to 2 decimal places.) SST SSA SSB SSE b. Calculate MSA, MSB, and MSE. (Round your answers to 2 decimal places.) MSA MSB MSE

Answer 1

applying 2 way ANOVA on abova data:

SST =92.00

SSA=2.67

SSB=84.50

SSE =4.83

b)

MSA =0.89

MSB=42.25

MSE=0.81

c)

Source of Variation	SS	df	MS	F	F crit
Rows	84.50	2	42.25	52.45	5.14
Columns	2.67	3	0.89	1.10	4.76
Error	4.83	6	0.81
Total	92.00	11

d)

Yes since the value of F statstic for factor B is greater than crtical value

e)

No  since the value of F statstic for factor A is less than the critical value