The results of a​ two-way ANOVA using the accompanying data and hypothesis tests for interaction between...

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Basic Math

The results of a​ two-way ANOVA using the accompanying data andhypothesis tests for interaction between Factor A and Factor B andfor each factor are provided below. Using these data and​ results,determine which means are different using α= 0.01whenwarranted.

Factor A

FactorB

Level 1

Level 2

Level 3

Level 1

66

88

1010

77

1212

3232

1010

1919

3030

Level 2

2828

3030

3030

1111

2020

3838

1616

2020

3939

Level 3

3535

4040

4242

3131

2929

4141

2121

4040

3232

Are the means for Factor​ A, Level 1 and Factor​ A,Level 2 significantly​ different?

A.Yes

B. No

C.The comparison is unwarranted because there is insufficientevidence to conclude that not all Factor A means are equal.

D.The comparison is unwarranted because Factor A and Factor Binteract.

Are the means for Factor​ A, Level 1 and Factor​ A,Level 3 significantly​ different?

A.Yes

B. No

C.The comparison is unwarranted because there is insufficientevidence to conclude that not all Factor A means are equal.

D.The comparison is unwarranted because Factor A and Factor Binteract.

Are the means for Factor​ A, Level 2 and Factor​ A,Level 3 significantly​ different?

A.Yes

B.No

C.The comparison is unwarranted because there is insufficientevidence to conclude that not all Factor A means are equal.

D.The comparison is unwarranted because Factor A and Factor Binteract.

Are the means for Factor​ B, Level 1 and Factor​ B,Level 2 significantly​ different?

A.Yes

B.No

C.The comparison is unwarranted because there is insufficientevidence to conclude that not all Factor B means are equal.

D.The comparison is unwarranted because Factor A and Factor Binteract.

Are the means for Factor​ B, Level 1 and Factor​ B,Level 3 significantly​ different?

A.No

B.Yes

C.The comparison is unwarranted because there is insufficientevidence to conclude that not all Factor B means are equal.

D.The comparison is unwarranted because Factor A and Factor Binteract.

Are the means for Factor​ B, Level 2 and Factor​ B,Level 3 significantly​ different?

A.No

B.Yes

C.The comparison is unwarranted because there is insufficientevidence to conclude that not all Factor B means are equal.

D.The comparison is unwarranted because Factor A and Factor Binteract.

Answer & Explanation Solved by verified expert
4.0 Ratings (521 Votes)
The results of a twoway ANOVA using the accompanying data and hypothesis tests for interaction between Factor A and Factor B and for each factor are provided below Using these data and results determine which means are different using 001when warranted MINITAB used General Linear Model Data versus A B Method Factor coding 1 0 1 Factor Information Factor Type Levels Values A Fixed 3 A1 A2 A3 B Fixed 3 B1 B2 B3 Analysis of Variance Source DF Adj SS Adj MS FValue PValue A 2 11325157 5662578 966 0001 B 2 21976136 10988068 1875 0000 AB 4 1484102 371026 063 0645 Error 18 10548520 586029 Total 26 45333915 Model Summary S Rsq Rsqadj Rsqpred 765525 7673 6639 4765 Comparisons for Data Tukey Pairwise Comparisons A    See Answer
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