2. 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.

4. Number of children

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

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

10. Sociology Psychology Biology

11. 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?

12. Sociology Psychology Biology

13. Sociology Psychology Biology

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17. Sociology Psychology Biology

18. 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

19. Sociology Psychology Biology

20. Are these means different?

21. 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

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

23. Note

24. Sociology Psychology Biology

25. Are these means different?

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

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

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30. Are these means different?

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

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

34. Sociology Psychology Biology

35. Are these means different?

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

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

39. Sociology Psychology Biology

40. Are these means different?

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

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

44. Overall ANOVA

45. Simple Effects

46. Simple Effects

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

48. Simple Effects Compute MS

49. Simple Effects Compute F

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