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Quantitative Methods Interactions - getting more complex.

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Presentation on theme: "Quantitative Methods Interactions - getting more complex."— Presentation transcript:

1 Quantitative Methods Interactions - getting more complex

2 The factorial principle

3 Interactions - getting more complex The factorial principle

4 Interactions - getting more complex The factorial principle

5 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


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