Quantitative Methods

1. Quantitative Methods Interactions - getting more complex

2. Interactions - getting more complex The factorial principle

3. Interactions - getting more complex The factorial principle

4. 3 3 3 3 6 6 Interactions - getting more complex The factorial principle

5. 3 3 3 3 6 6 Interactions - getting more complex The factorial principle Investigate interactions Hidden replication

6. Interactions - getting more complex Interactions in essence Simple additive/linear story, separate story for each x-variable? or more complicated story involving both variables? Two x-variables interact if the effect of one x-variable on y depends on the level of the other.

7. Interactions - getting more complex Analysis of factorial experiments

8. Interactions - getting more complex Analysis of factorial experiments

9. Interactions - getting more complex Analysis of factorial experiments

10. Interactions - getting more complex Analysis of factorial experiments

11. Interactions - getting more complex Interactions in essence Simple additive/linear story, separate story for each x-variable? or more complicated story involving both variables? Two x-variables interact if the effect of one x-variable on y depends on the level of the other.

12. Interactions - getting more complex Analysis of factorial experiments

13. Interactions - getting more complex Analysis of factorial experiments

14. Interactions - getting more complex Analysis of factorial experiments

15. Interactions - getting more complex Interactions in essence Simple additive/linear story, separate story for each x-variable? or more complicated story involving both variables? Two x-variables interact if the effect of one x-variable on y depends on the level of the other.

16. Interactions - getting more complex Analysis of factorial experiments

17. Interactions - getting more complex Analysis of factorial experiments

18. Interactions - getting more complex Analysis of factorial experiments

19. Interactions - getting more complex Analysis of factorial experiments (Model)

20. Interactions - getting more complex Interactions in essence Simple additive/linear story, separate story for each x-variable? or more complicated story involving both variables? Two x-variables interact if the effect of one x-variable on y depends on the level of the other.

21. Interactions - getting more complex Analysis of factorial experiments (Model)

22. Interactions - getting more complex Analysis of factorial experiments

23. Interactions - getting more complex Analysis of factorial experiments

24. Interactions - getting more complex Analysis of factorial experiments

25. Interactions - getting more complex Analysis of factorial experiments (Fitted value equation)

26. Interactions - getting more complex Analysis of factorial experiments

27. Interactions - getting more complex Interactions with continuous variables

28. Interactions - getting more complex Interactions with continuous variables

29. Interactions - getting more complex Interactions with continuous variables

30. Interactions - getting more complex Interactions in essence Simple additive/linear story, separate story for each x-variable? or more complicated story involving both variables? Two x-variables interact if the effect of one x-variable on y depends on the level of the other.

31. Interactions - getting more complex Interactions with continuous variables

32. Interactions - getting more complex Interactions with continuous variables (Model formula) (Model)

33. Interactions - getting more complex Interactions with continuous variables (Fitted value equation)

34. Interactions - getting more complex Interactions with continuous variables

35. Interactions - getting more complex Interactions with continuous variables

36. Interactions - getting more complex Interactions with 2 continuous variables

37. Interactions - getting more complex Interactions with 2 continuous variables (Model)

38. Interactions - getting more complex Interactions with 2 continuous variables (Model)

39. Interactions - getting more complex Interactions in essence Simple additive/linear story, separate story for each x-variable? or more complicated story involving both variables? Two x-variables interact if the effect of one x-variable on y depends on the level of the other.

40. Interactions - getting more complex Interactions with 2 continuous variables (Model)

41. Interactions - getting more complex Interactions with 2 continuous variables (Model) (Fitted value equation)

42. Interactions - getting more complex Interactions in essence

43. Interactions - getting more complex Interactions in essence Simple additive/linear story, separate story for each x-variable? or more complicated story involving both variables? Two x-variables interact if the effect of one x-variable on y depends on the level of the other.

44. Interactions - getting more complex Last words… • Factorial experimental designs are very useful • Interactions are about one x-variable affecting how another affects y • Know how to construct the model • Know how to construct the fitted value equation • Marginality is important, but more on that later… Checking the models I: independence Read Chapter 8