Problem 2 (25 points)

A pharmaceutical company has invented a new anti-depressant medication. They administer the medication to 18 depressed males and 18 depressed females between the ages of21-30. They also administer the medication to 18 depressed males and 18 depressed females between the ages of65-80. After three weeks on the medication a depression measure is administered with the higher the score the more depressive symptoms. The scores are listed below.

Younger Adults

Males females

Placebo mild big placebo mild big

6.5 7.4 8.0 8.0 7.4 7.0

7.3 6.8 8.5 7.7 6.8 7.3

6.6 6.7 7.1 7.1 6.7 5.1

7.4 7.3 7.6 7.6 7.3 7.4

7.2 7.6 8 6.6 7.6 7.2

6.8 7.4 7.2 7.2 7.4 5.0

Older Adults

Males females

Placebo mild big placebo mild big

6.50 7.4 8.0 6.65 7.7 8.1

7.30 6.8 8.5 7.4 6.9 8.6

6.60 6.7 7.1 6.8 6.7 7.3

7.40 7.3 7.6 7.5 7.5 7.7

7.20 7.6 8.0 7.3 7.9 8.2

6.80 7.4 7.2 6.9 7.7 7.4

Copy the data below and paste into spss

Sex(1=male,2=female),Dose (1=placebo, 2=mild, 3=big), Age (1=young, 2=old)

Sex dose BDI age

1.00 1.00 6.50 1.00

1.00 1.00 7.30 1.00

1.00 1.00 6.60 1.00

1.00 1.00 7.40 1.00

1.00 1.00 7.20 1.00

1.00 1.00 6.80 1.00

1.00 2.00 7.40 1.00

1.00 2.00 6.80 1.00

1.00 2.00 6.70 1.00

1.00 2.00 7.30 1.00

1.00 2.00 7.60 1.00

1.00 2.00 7.40 1.00

1.00 3.00 7.60 1.00

1.00 3.00 7.70 1.00

1.00 3.00 7.40 1.00

1.00 3.00 7.50 1.00

1.00 3.00 7.70 1.00

1.00 3.00 7.60 1.00

2.00 1.00 8.00 1.00

2.00 1.00 7.70 1.00

2.00 1.00 7.10 1.00

2.00 1.00 7.60 1.00

2.00 1.00 6.60 1.00

2.00 1.00 7.20 1.00

2.00 2.00 7.40 1.00

2.00 2.00 6.80 1.00

2.00 2.00 6.70 1.00

2.00 2.00 7.30 1.00

2.00 2.00 7.60 1.00

2.00 2.00 7.40 1.00

2.00 3.00 7.00 1.00

2.00 3.00 7.30 1.00

2.00 3.00 5.10 1.00

2.00 3.00 7.40 1.00

2.00 3.00 7.20 1.00

2.00 3.00 5.00 1.00

1.00 1.00 7.10 2.00

1.00 1.00 7.40 2.00

1.00 1.00 7.30 2.00

1.00 1.00 7.30 2.00

1.00 1.00 7.00 2.00

1.00 1.00 7.30 2.00

1.00 2.00 7.50 2.00

1.00 2.00 7.60 2.00

1.00 2.00 7.80 2.00

1.00 2.00 7.70 2.00

1.00 2.00 7.40 2.00

1.00 2.00 7.60 2.00

1.00 3.00 9.00 2.00

1.00 3.00 8.80 2.00

1.00 3.00 5.00 2.00

1.00 3.00 8.10 2.00

1.00 3.00 8.00 2.00

1.00 3.00 7.50 2.00

2.00 1.00 6.65 2.00

2.00 1.00 7.40 2.00

2.00 1.00 6.80 2.00

2.00 1.00 7.50 2.00

2.00 1.00 7.30 2.00

2.00 1.00 6.90 2.00

2.00 2.00 7.70 2.00

2.00 2.00 6.90 2.00

2.00 2.00 6.70 2.00

2.00 2.00 7.50 2.00

2.00 2.00 7.90 2.00

2.00 2.00 7.70 2.00

2.00 3.00 8.10 2.00

2.00 3.00 8.60 2.00

2.00 3.00 7.30 2.00

2.00 3.00 7.70 2.00

2.00 3.00 8.20 2.00

2.00 3.00 7.40 2.00

1. Conduct a 2(Sex) x 2 (Age) x 4 (Dose) ANOVA and paste the results below.

1. If the Main Effect of Age is Significant conduct subsequent pairwise comparisons using Tukey if necessary. If it is not significant state that below. Make sure I can easily see what the critical difference(s) are. Write the specific conclusions below.

1. If the Main Effect of Dose is Significant conduct subsequent pairwise comparisons using Tukey if necessary. If it is not significant state that below. Make sure I can easily see what the critical difference(s) are. Write the specific conclusions below.

1. If the interaction of Sex x Age x Dose is significant conduct subsequent pairwise comparisons using Tukey if necessary. When conducting the Tukey, compare dose effects at each combination of Sex and Age. If it is not significant state that below. Make sure I can easily see what the critical difference(s) are. Write the specific conclusions below.

Tukey CD=

Conclusions for younger males.:

Conclusions for younger females.:

Conclusions for older males.:

Conclusions for older females.:

Conduct a 2(Age) x 4 (Dose) anova for only males and paste the results below.

Conduct a 2(Age) x 4 (Dose) anova for only males and paste the results below.

Compute the F ratio required to test the Age x Dose interaction just for males.

Compute the F ratio required to test the Age x Dose interaction just for males.

Overall Conclusions