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(45 points total) The partially completed ANOVA table given below is for a two-f

ID: 3059081 • Letter: #

Question

(45 points total) The partially completed ANOVA table given below is for a two-factor balanced factorial experiment:

Source

DF

SS

MS

F

Treatment

A

3

2.25

B

1

.95

Interaction

.90

.30

Error

X

Total

23

6.5

X

X

(5 points) Give the number of levels of each factor.

(5 points) How many treatment combinations are there?

(5 points) How many experimental units were used for each treatment combination?

(10 points) Fill in the blanks in the table (ignore the entries with X).

(20 points) Conduct the appropriate tests beginning with the test for treatment effect using = .05. Give the hypotheses, test statistics, critical values, and conclusions. If you are unable to get all numbers for part d., identify which mean squares you would need to form the test statistics.

Source

DF

SS

MS

F

Treatment

A

3

2.25

B

1

.95

Interaction

.90

.30

Error

X

Total

23

6.5

X

X

Explanation / Answer

(45 points total) The partially completed ANOVA table given below is for a two-factor balanced factorial experiment:

Source

DF

SS

MS

F

Treatment

A

3

2.25

B

1

.95

Interaction

.90

.30

Error

X

Total

23

6.5

X

X

(5 points) Give the number of levels of each factor.

(5 points) How many treatment combinations are there?

(5 points) How many experimental units were used for each treatment combination?

(10 points) Fill in the blanks in the table (ignore the entries with X).

(20 points) Conduct the appropriate tests beginning with the test for treatment effect using = .05. Give the hypotheses, test statistics, critical values, and conclusions. If you are unable to get all numbers for part d., identify which mean squares you would need to form the test statistics.

Source

DF

SS

MS

F

Treatment

A

3

2.25

B

1

.95

Interaction

.90

.30

Error

X

Total

23

6.5

X

X