Question

1. I am conducting a Two-Way ANOVA with two factors. Factor A has 5 levels and Factor B has 8. The sample size in each condition is 10.

Factor A Levels = 5

Factor B Levels = 8

n = 10

What is the total number of participants in my study (N)?

2. I am conducting a Two-Way ANOVA with two factors. Factor A has 5 levels and Factor B has 8. The sample size in each condition is 10.

Factor A Levels = 5

Factor B Levels = 8

n = 10

What is df A?

3. I am conducting a Two-Way ANOVA with two factors. Factor A has 5 levels and Factor B has 8. The sample size in each condition is 10.

Factor A Levels = 5

Factor B Levels = 8

n = 10

What is df B?

4. I am conducting a Two-Way ANOVA with two factors. Factor A has 5 levels and Factor B has 8. The sample size in each condition is 10.

Factor A Levels = 5

Factor B Levels = 8

n = 10

What is df AxB?

5. I am conducting a Two-Way ANOVA with two factors. Factor A has 5 levels and Factor B has 8. The sample size in each condition is 10.

Factor A Levels = 5

Factor B Levels = 8

n = 10

What is df within (error)?

6. I am running a One-Way ANOVA with one factor, A, and two levels. My Sum of Squares A is 54.34 and my Mean Squares Within (Error) is 3.45.

What is my Mean Squares A?

7. I am running a One-Way ANOVA with one factor, A, and two levels. My Sum of Squares A is 54.34 and my Mean Squares Within (Error) is 3.45.

What is my F-observed?

Answer 1

1. I am conducting a Two-Way ANOVA with two factors. Factor A has 5 levels and Factor B has 8. The sample size in each condition is 10.

Factor A Levels = 5

Factor B Levels = 8

n = 10

What is the total number of participants in my study (N)?

Combination of A and B = 5*8 = 40

Sample in study = 40*N = 40*10 = 400

Sample in study = 400

What is df A?

df = level - 1

df = 5 - 1 = 4

df = 4

What is df B?

df = level - 1

df = 8- 1 = 7

df = 7

What is df AxB?

df = ( levels of A - )*(level of B - 1 )

df = ( 5 - 1 )*( 8 - 1 )

df = 4*7

df = 28

What is df within (error)?

df_total = 400 - 1 = 399

df(error) = df_total - A - B - Ab

df(error) = 399 - 4 - 7 -28

df(error) = 360

6. I am running a One-Way ANOVA with one factor, A, and two levels. My Sum of Squares A is 54.34 and my Mean Squares Within (Error) is 3.45

What is my Mean Squares A?

Mean Squares A = Sum of Squares A / df A

Mean Squares A = 54.34/4

Mean Squares A = 13.585

What is my F-observed?

F-observed = Mean Squares A /Squares Within (Error)

F-observed = 13.585/3.45

F-observed = 3.9376