Question

1. Complete the ANOVA summary table and answer the questions that follow.

Source    SS df       MS        F

A 127.44       2

B .222 1                       

A X B   110.778 2                       

Within    166.00 12   

Total       404.444   17

What are the F critical values for A effect, B effect, and the interaction?

Which effects are significant? Write the results statistically.

     

Answer 1

Ans:

	SS	df	MS	F	F critical
A	127.44	2	63.72	4.61	3.885
B	0.222	1	0.222	0.02	4.747
A*B	110.778	2	55.389	4.00	3.885
Within	166	12	13.833
Total	404.44	17

MS=SS/df

F=MS(between)/MS(within)

For A,F=63.72/13.833=4.61

For B,F=0.222/13.833=0.02

For A*B,F=55.389/13.833=4.00

Assume significance level=0.05

For,A and A*B,critical value F=FINV(0.05,2,12)=3.885

For,B,critical value F=FINV(0.05,1,12)=4.747

Effect A and A*B are significant as F statistic is greater than F critical value.