The analysis of variance table for a 3 x 4 factorial experiment, with factor A at three levels and factor B at four levels, and with two observations

Anish Buchanan 2021-06-21 Answered

The analysis of variance table for a \(3 \times 4\) factorial experiment, with factor A at three levels and factor B at four levels, and with two observations per treatment is shown here:
Source, df, SS, MS, F
A, 2, 5.3
B, 3, 9.1
AB, 6,
Error, 12, 24.5
Total, 23, 43.7
a. Fill in the missing items in the table.
b. Do the data provide sufficient evidence to indicate that factors A and B interact? Test using \(\alpha \alpha=.05\). What are the practical implications of your answer?
c. Do the data provide sufficient evidence to indicate that factors A and B affect the response variable x? Explain.

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Expert Answer

Nicole Conner
Answered 2021-06-22 Author has 28611 answers
Source | df | SS | MS | F |
__________________________________
A | 2 | 5.4 |2.65 |1.2979|
B | 3 | 9.1 |3.033|1.4857|
AB | 6 | 4.8 | 0.8 |0.3918|
__________________________________
b) No
c) No
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