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Practice

Practice. Participants were asked about their current romantic relationship (dating, married, or cohabitating) and the number of children they have (none, one, or two). They also indicated how many arguments they had with their romantic partner during the past year.

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Practice

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  1. Practice • Participants were asked about their current romantic relationship (dating, married, or cohabitating) and the number of children they have (none, one, or two). They also indicated how many arguments they had with their romantic partner during the past year. • Use the data on the next page to complete the incomplete ANOVA table.

  2. Number of children

  3. F critical A (2, 36) = 3.27 F critical B (2, 36) = 3.27 F critical AB (4, 36) = 2.64

  4. Remember • You were asked to determine the effects of both college major (psychology, sociology, and biology) and gender (male and female) on class attendance

  5. Sociology Psychology Biology

  6. Simple Effects • The effect of one factor at one level on the other factor. • Use to “tease apart” a significant interaction • You wonder if college major has an effect on class attendance for just females? • You wonder if male and female psychology students differ in their class attendance?

  7. Sociology Psychology Biology

  8. Sociology Psychology Biology

  9. Sociology Psychology Biology

  10. Sociology Psychology Biology

  11. Sociology Psychology Biology

  12. Sociology Psychology Biology

  13. Simple Effects • Why not just do 5 new analyses • 2 ANOVAs • 3 Independent Samples t-tests • You will lose df! • Type I error problem still exists

  14. Sociology Psychology Biology

  15. Are these means different?

  16. Simple Effects • SS Major at Female • Represents the SS deviations of the treatment means around the Female mean • Its multiplied by n to give an estimate of the population variance (Central limit theorem) • Same formula as SSbetween in the one-way

  17. SS M at Female = 3*((2.67 – 1.78)2 + (1.00 – 1.78)2 + (1.67 – 1.78)2 = 4.23

  18. Note

  19. Sociology Psychology Biology

  20. Are these means different?

  21. Simple Effects • SS Major at Male • Same formula as SSbetween in the one-way

  22. SS M at Male = 3*((3.67 – 2.33)2 + (3.00 – 2.33)2 + (0.33 – 2.33)2 = 18.71

  23. Sociology Psychology Biology

  24. Are these means different?

  25. Simple Effects • SS Gender at Socio • Same formula as SSbetween in the one-way

  26. SS G at Socio = 3*((2.67 – 3.17)2 + (3.67 – 3.17)2 = 1.5

  27. Sociology Psychology Biology

  28. Are these means different?

  29. Simple Effects • SS Gender at Psych • Same formula as SSbetween in the one-way

  30. SS G at Psych = 3*((1.00 – 2.00)2 + (3.00 – 2.00)2 = 6.00

  31. Sociology Psychology Biology

  32. Are these means different?

  33. Simple Effects • SS Gender at Bio • Same formula as SSbetween in the one-way

  34. SS G at Bio = 3*((1.67 – 1.00)2 + (0.33 – 1.00)2 = 2.69

  35. Overall ANOVA

  36. Simple Effects

  37. Simple Effects

  38. Simple Effects dfA (Gender) = a – 1 dfB (Major) = b – 1

  39. Simple Effects Compute MS

  40. Simple Effects Compute F

  41. F critical (1, 12) = 4.75 F critical B (2, 12) = 3.89 Simple Effects

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