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Quantitative Methods Interactions - getting more complex

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The factorial principle

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Interactions - getting more complex The factorial principle

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

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

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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.

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Interactions - getting more complex Analysis of factorial experiments

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Interactions - getting more complex Analysis of factorial experiments

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Interactions - getting more complex Analysis of factorial experiments

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Interactions - getting more complex Analysis of factorial experiments

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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.

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Interactions - getting more complex Analysis of factorial experiments

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Interactions - getting more complex Analysis of factorial experiments

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Interactions - getting more complex Analysis of factorial experiments

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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.

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Interactions - getting more complex Analysis of factorial experiments

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Interactions - getting more complex Analysis of factorial experiments

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Interactions - getting more complex Analysis of factorial experiments

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

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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.

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

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Interactions - getting more complex Analysis of factorial experiments

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Interactions - getting more complex Analysis of factorial experiments

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Interactions - getting more complex Analysis of factorial experiments

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

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Interactions - getting more complex Analysis of factorial experiments

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Interactions - getting more complex Interactions with continuous variables

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Interactions - getting more complex Interactions with continuous variables

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Interactions - getting more complex Interactions with continuous variables

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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.

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Interactions - getting more complex Interactions with continuous variables

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

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

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Interactions - getting more complex Interactions with continuous variables

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Interactions - getting more complex Interactions with continuous variables

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Interactions - getting more complex Interactions with 2 continuous variables

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

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

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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.

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

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

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Interactions - getting more complex Interactions in essence

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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.

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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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1 Dr. Jerrell T. Stracener EMIS 7370 STAT 5340 Probability and Statistics for Scientists and Engineers Department of Engineering Management, Information.

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