Question

Question 2 (bonus): A researcher wants to determine the fear of dogs based on size. Answer the following questions based on the data.

Small dogs: 7, 16, 3, 9

Medium dogs: 15, 18, 18, 13

Large dogs: 22, 28, 26, 29

1. Find the degrees of freedom for each group:

(Remember df = N -1)

Group 1:

Group 2:

Group 3:

2. Degrees of freedom (within):

3. Degrees of freedom (total):

4. Degrees of freedom (between):

5. Calculate the total sum of squares. Be sure to calculate the grand mean (GM) and the mean (M) for each group before calculating the sum of squares.

Sample	X	(X – GM)	(x – GM)²
Group 1 – small dogs M(group 1) =	7 16 3 9
Group 2 – medium dogs M(group 2) =	15 18 18 13
Group 3 – large dogs M(group 3) =	22 28 26 29
GM =			SS(total) =

6. Calculate the Within-Groups Sum of Squares

Sample	X	(X – M)	(x – M)²
Group 1 – small dogs M(group 1) =	7 16 3 9
Group 2 – medium dogs M(group 2) =	15 18 18 13
Group 3 – large dogs M(group 3) =	22 28 26 29
GM =			SS(within) =

7. Calculate the Between-Groups Sum of Squares

Sample	X	(M – GM)	(M – GM)²
Group 1 – small dogs M(group 1) =	7 16 3 9
Group 2 – medium dogs M(group 2) =	15 18 18 13
Group 3 – large dogs M(group 3) =	22 28 26 29
GM =			SS(between) =

8. Complete the ANOVA table using the information you calculated above

Variance	SS	df	MS	F
Between
Within				---------
Total			---------	---------

Answer 1