Quantitative Methods Interactions getting more complex Interactions getting

Quantitative Methods Interactions - getting more complex

Interactions - getting more complex The factorial principle

Interactions - getting more complex The factorial principle

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

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

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.

Interactions - getting more complex Analysis of factorial experiments

Interactions - getting more complex Analysis of factorial experiments

Interactions - getting more complex Analysis of factorial experiments

Interactions - getting more complex Analysis of factorial experiments

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.

Interactions - getting more complex Analysis of factorial experiments

Interactions - getting more complex Analysis of factorial experiments

Interactions - getting more complex Analysis of factorial experiments

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.

Interactions - getting more complex Analysis of factorial experiments

Interactions - getting more complex Analysis of factorial experiments

Interactions - getting more complex Analysis of factorial experiments

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

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.

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

Interactions - getting more complex Analysis of factorial experiments

Interactions - getting more complex Analysis of factorial experiments

Interactions - getting more complex Analysis of factorial experiments

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

Interactions - getting more complex Analysis of factorial experiments

Interactions - getting more complex Interactions with continuous variables

Interactions - getting more complex Interactions with continuous variables

Interactions - getting more complex Interactions with continuous variables

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.

Interactions - getting more complex Interactions with continuous variables

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

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

Interactions - getting more complex Interactions with continuous variables

Interactions - getting more complex Interactions with continuous variables

Interactions - getting more complex Interactions with 2 continuous variables

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

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

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.

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

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

Interactions - getting more complex Interactions in essence

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.

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