Question

In: Statistics and Probability

1. Complete the ANOVA summary table and answer the questions that follow. Source SS &nb

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.

For each of the following, find the means for the effect of A and the means for the B effect. Also, graph the possible interaction. You may use EXCEL to graph the interaction.

B means

	A1	A2	A3
B1	10	30	40
B2	40	30	10

A means

B means

	A1	A2	A3
B1	5	10	15
B2	5	15	10

A Means

Expert Solution

ANOVA table is given below

Source	SS	df	MS	F	P.value
A	127.44	2	63.72	4.6063	0.0328
B	0.222	1	0.222	0.016	0.9014
AB	110.778	2	55.389	4.004	0.0465
Within	166	12	13.83333333
Total	404.444	17

A effect and the interaction are statistically significant at 5% significance level as p.value is less then 0.05.

	A1	A2	A3	B. Means
B1	10	30	40	26.67
B2	40	30	10	26.67
A.Means	25	30	25

	A1	A2	A3	B. Means
B1	5	10	15	10
B2	5	15	10	10
A.Means	5	12.5	12.5

orchestra answered 2 years ago

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