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1. A repeated-measures research study comparing three treatments with a sample o

ID: 3360180 • Letter: 1

Question

1. A repeated-measures research study comparing three treatments with a sample of n = 10 participants produced an F-ratio of F = 3.95. Based on this result, which of the following is the correct statistical decision.

Fail to reject the null hypothesis with either = .05 or = .01.

Reject the null hypothesis with either = .05 or = .01.

Reject the null hypothesis with = .05 but not with = .01.

cannot answer without additional information

2.The formula for dfbetween subjects is

N - 1

n - 1

N - k

k - 1

3.Exhibit 14-1
The following data is from a repeated-measures study.

Treatments

Subject

I

II

III

P-totals

A

0

1

2

3

G = 18

B

1

1

4

6

X2 = 64

C

2

1

6

9

T = 3

T = 3

T = 12

SS = 2

SS = 0

SS = 8

Refer to Exhibit 14-1. If SS between subjects is equal to 6, then the SS for the error term would be ____.

4

16

6

12

4.For a repeated-measures ANOVA, which of the following is computed differently, compared to an independent-measures ANOVA?

the denominator of the F ratio

within treatment SS

between treatment SS

total SS

5.A two-factor experiment with two levels of factor A and four levels of factor B would consist of ____ separate treatment conditions and the dfbetween treatments (between cells) would be ____.

6, 5

4, 3

2, 1

8, 7

6.How many separate samples would be needed for a two-factor, independent-measures research study with 2 levels of factor A and 3 levels of factor B?

5

3

2

6

7..A two-factor research study compares two levels of factor A and three levels of factor B. If SSA = 30, then what is the value for MSA?

10

15

30

cannot be determined without additional information

Treatments

Subject

I

II

III

P-totals

A

0

1

2

3

G = 18

B

1

1

4

6

X2 = 64

C

2

1

6

9

T = 3

T = 3

T = 12

SS = 2

SS = 0

SS = 8

Explanation / Answer

Result:

1. A repeated-measures research study comparing three treatments with a sample of n = 10 participants produced an F-ratio of F = 3.95. Based on this result, which of the following is the correct statistical decision.

Fail to reject the null hypothesis with either = .05 or = .01.

Reject the null hypothesis with either = .05 or = .01.

Answer: Reject the null hypothesis with = .05 but not with = .01.

cannot answer without additional information

2.The formula for dfbetween subjects is

N - 1

Answer: n - 1

N - k

k - 1

3.Exhibit 14-1
The following data is from a repeated-measures study.

Treatments

Subject

I

II

III

P-totals

A

0

1

2

3

G = 18

B

1

1

4

6

X2 = 64

C

2

1

6

9

T = 3

T = 3

T = 12

SS = 2

SS = 0

SS = 8

Refer to Exhibit 14-1. If SS between subjects is equal to 6, then the SS for the error term would be ____.

Answer: 4

16

6

12

Analysis of Variance

Source

DF

Adj SS

Adj MS

F-Value

P-Value

sub

2

6.000

3.000

3.00

0.160

grp

2

18.000

9.000

9.00

0.033

Error

4

4.000

1.000

Total

8

28.000

4.For a repeated-measures ANOVA, which of the following is computed differently, compared to an independent-measures ANOVA?

Answer: the denominator of the F ratio

within treatment SS

between treatment SS

total SS

5.A two-factor experiment with two levels of factor A and four levels of factor B would consist of ____ separate treatment conditions and the dfbetween treatments (between cells) would be ____.

6, 5

4, 3

2, 1

Answer; 8, 7

6.How many separate samples would be needed for a two-factor, independent-measures research study with 2 levels of factor A and 3 levels of factor B?

5

3

2

Answer: 6

7..A two-factor research study compares two levels of factor A and three levels of factor B. If SSA = 30, then what is the value for MSA?

10

15

Answer: 30

cannot be determined without additional information

Treatments

Subject

I

II

III

P-totals

A

0

1

2

3

G = 18

B

1

1

4

6

X2 = 64

C

2

1

6

9

T = 3

T = 3

T = 12

SS = 2

SS = 0

SS = 8