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Psychologists at Disney World measured factors that affect the scariness of the soundtrack for their Haunted House ride. In particular, they were interested in the loudness of the screams (soft versus loud) and the length of the screams (short versus long). They used a 2 × 2 factorial design to test how these factors combined. They collected data from 10 different riders in each of the four conditions. Each rider rated the scariness of the ride on a nine-point scale. short screams long screams soft screams T=38, n = 10, SS = 13.6 T=64, n = 10, SS = 22.4 loud screams T=52, n=10, SS = 29.6 T=50, n=10, SS = 16.0 For these data: G = 204, N = 40, X2 = 1156. 1. Sketch a dataplot of the mean rating in each condition. 2. Calculate SS total, the total sum of squares 3. Calculate SSwithin, the within-treatments sum of squares. 4. Calculate SSbetween, the between-treatments sum of squares. 5. Calculate SSA the sum of squares for Factor A (length of scream). 6. Calculate SSB, the sum of squares for Factor B (loudness of scream). 7. Calculate SS AXB, the sum of squares for the interaction. 8. Calculate MS within, the within-treatments mean square. 9. Calculate FA, the F ratio for factor A. 10. Calculate FB, the F ratio for factor B. 11. Calculate FAXB, the F ratio for the interaction. 12. What are the degrees of freedom, df, for these F ratios? 13. Look up Ferit the critical value of F. 14. Which of the main effects and/or the interaction is/are statistically significant? 15. Calculate n 16. Calculate n 17. Calculate nxB

Psychologists at Disney World measured factors that affect the scariness of the soundtrack for their Haunted House ride. In particular, they were interested in the loudness of the screams (soft versus loud) and the length of the screams (short versus long). They used a 2 × 2 factorial design to test how these factors combined. They collected data from 10 different riders in each of the four conditions. Each rider rated the scariness of the ride on a nine-point scale. short screams long screams soft screams T=38, n = 10, SS = 13.6 T=64, n = 10, SS = 22.4 loud screams T=52, n=10, SS = 29.6 T=50, n=10, SS = 16.0 For these data: G = 204, N = 40, X2 = 1156. 1. Sketch a dataplot of the mean rating in each condition. 2. Calculate SS total, the total sum of squares 3. Calculate SSwithin, the within-treatments sum of squares. 4. Calculate SSbetween, the between-treatments sum of squares. 5. Calculate SSA the sum of squares for Factor A (length of scream). 6. Calculate SSB, the sum of squares for Factor B (loudness of scream). 7. Calculate SS AXB, the sum of squares for the interaction. 8. Calculate MS within, the within-treatments mean square. 9. Calculate FA, the F ratio for factor A. 10. Calculate FB, the F ratio for factor B. 11. Calculate FAXB, the F ratio for the interaction. 12. What are the degrees of freedom, df, for these F ratios? 13. Look up Ferit the critical value of F. 14. Which of the main effects and/or the interaction is/are statistically significant? 15. Calculate n 16. Calculate n 17. Calculate nxB

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Psychologists at Disney World measured factors that affect the scariness of the soundtrack for their Haunted House ride. In particular, they were interested in the loudness of the screams (soft versus loud) and the length of the screams (short versus long). They used a 2 × 2 factorial design to test how these factors combined. They collected data from 10 different riders in each of the four conditions. Each rider rated the scariness of the ride on a nine-point scale. short screams long screams soft screams T=38, n = 10, SS = 13.6 T=64, n = 10, SS = 22.4 loud screams T=52, n=10, SS = 29.6 T=50, n=10, SS = 16.0 For these data: G = 204, N = 40, X2 = 1156. 1. Sketch a dataplot of the mean rating in each condition. 2. Calculate SS total, the total sum of squares 3. Calculate SSwithin, the within-treatments sum of squares. 4. Calculate SSbetween, the between-treatments sum of squares. 5. Calculate SSA the sum of squares for Factor A (length of scream). 6. Calculate SSB, the sum of squares for Factor B (loudness of scream). 7. Calculate SS AXB, the sum of squares for the interaction. 8. Calculate MS within, the within-treatments mean square. 9. Calculate FA, the F ratio for factor A. 10. Calculate FB, the F ratio for factor B. 11. Calculate FAXB, the F ratio for the interaction. 12. What are the degrees of freedom, df, for these F ratios? 13. Look up Ferit the critical value of F. 14. Which of the main effects and/or the interaction is/are statistically significant? 15. Calculate n 16. Calculate n 17. Calculate nxB
Transcribed Image Text:Psychologists at Disney World measured factors that affect the scariness of the soundtrack for their Haunted House ride. In particular, they were interested in the loudness of the screams (soft versus loud) and the length of the screams (short versus long). They used a 2 × 2 factorial design to test how these factors combined. They collected data from 10 different riders in each of the four conditions. Each rider rated the scariness of the ride on a nine-point scale. short screams long screams soft screams T=38, n = 10, SS = 13.6 T=64, n = 10, SS = 22.4 loud screams T=52, n=10, SS = 29.6 T=50, n=10, SS = 16.0 For these data: G = 204, N = 40, X2 = 1156. 1. Sketch a dataplot of the mean rating in each condition. 2. Calculate SS total, the total sum of squares 3. Calculate SSwithin, the within-treatments sum of squares. 4. Calculate SSbetween, the between-treatments sum of squares. 5. Calculate SSA the sum of squares for Factor A (length of scream). 6. Calculate SSB, the sum of squares for Factor B (loudness of scream). 7. Calculate SS AXB, the sum of squares for the interaction. 8. Calculate MS within, the within-treatments mean square. 9. Calculate FA, the F ratio for factor A. 10. Calculate FB, the F ratio for factor B. 11. Calculate FAXB, the F ratio for the interaction. 12. What are the degrees of freedom, df, for these F ratios? 13. Look up Ferit the critical value of F. 14. Which of the main effects and/or the interaction is/are statistically significant? 15. Calculate n 16. Calculate n 17. Calculate nxB
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