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Quantitative Methods

Quantitative Methods. Interactions - getting more complex. Interactions - getting more complex. The factorial principle. Interactions - getting more complex. The factorial principle. 3. 3. 3. 3. 6. 6. Interactions - getting more complex. The factorial principle. 3. 3. 3. 3. 6. 6.

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Quantitative Methods

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  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

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