(Solved): Need An Answer To The Following Questions

A study was conducted to examine the impact of caffeine and gender on word recall. Forty-eight participants were randomly assigned to one of 8 groups. Each person was given a dose of caffeine and then tested for word recall.

Conduct a 2(Gender) x 4(Dose) analysis of variance for the data below.

Males

Placebo Small Medium Large

6.50 7.40 8.00 7.50

7.30 6.80 7.70 7.90

6.60 6.70 7.10 6.90

7.40 7.30 7.60 7.80

7.20 7.60 6.60 6.70

6.80 7.40 7.20 7.30

Females

Placebo Small Medium Large

7.10 7.40 8.20 13.2

7.90 8.10 8.5 13.5

8.20 8.20 9.50 14.5

7.70 8.00 8.7 16.70

7.50 7.60 9.60 14.60

7.60 8.00 9.40 14.40

Need ANOVA Table

compute omega squared and Cohenâ€™s F for each main effect and the interaction. Show your work.

Calculations for omega squared

â€¢ ï³2sex =

(1) ÏŽ2 sex=

â€¢ ï³2dose =

(1) ÏŽ2 Dose =

â€¢ ï³2sex x dose =

Sex x dose interaction. (1) ÏŽ2 inter

â€¢ ï³2total = ï³2A + ï³2B + ï³2AB + ï³2e =

Calculations for Cohen

(1) Cohen ME sex =

(1) Cohen ME dose =

(1) Cohen Interaction = 0.14

3. What number from the output of the anova above tells you the average variance within the 8 groups (sex x dose) above. ________________ (put in an actual number)

4. What number from the output of the anova above tells you the variance between the main effect means of dose? ________________ (put in an actual number)

If the Main Effect of Sex 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 your specific conclusions below.

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 your specific conclusions below.

Tukey CD=

Tukey results

If the interaction of Sex and Dose is significant conduct subsequent pairwise comparisons using Tukey if necessary. Examine the simple effect of dose separately at each level of sex. If it is not significant state that below. Make sure I can easily see what the critical difference(s) are. Write your specific conclusions below.

Tukey CD=

Tukey results

Simple Effects Test of Dose At Each level of Sex Beat

1 way anova just at males leads to MSbet =

1 way anova just at females leads to MSbet =

F at males =

F at Females =

Critical F needed for significance =

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