[R] Plot interaction in multilevel model

[William Revelle]

I think both graphs will follow the same technique.  This is partly 
laid out in how to do graphs of anova output at
http://personality-project.org/r/r.plotregressions.html  (which is 
part of the short (and out of date) guide to R for psychologists)
http://personality-project.org/r/




At 6:39 PM -0800 3/5/10, dadrivr wrote:
>I am trying to plot an interaction in a multilevel model.  Here is some
>sample data.  In the following example, it is longitudinal (i.e., repeated
>measures), so the outcome, score (at each of the three time points), is
>nested within the individual.  I am interested in the interaction between
>gender and happiness predicting score.
>
>id <- c(1,1,1,2,2,2,3,3,3)
>age <- c(10,15,20,10,15,20,10,15,20)
>gender <- c(1,1,1,0,0,0,1,1,1)
>happiness <- c(50,30,25,70,65,80,70,40,60)
>score <- c(180,140,110,240,220,280,150,140,130)
>mydata <- data.frame(id,age,gender,happiness,score)
>
>I am looking to create two plots:
>
>1. A plot with score on the y-axis, happiness on the x-axis, gender as the
>moderating variable, and a linear best-fit line for each level of gender
>(male & female).  Here is my attempt, but I don't know how to make it into
>linear best-fit lines:
>with(mydata,interaction.plot(happiness,gender,score))

color <- c("red","blue")
  plot(happiness,score,col=color[gender+1])
by(mydata,gender,function(x) abline(lm(x$score~x$happiness)))


>
>2. A plot with score on the y-axis, age on the x-axis, and 4 different best
>fit lines representing the following levels of gender and happiness (male hi
>happy, male lo happy, female hi happy, female lo happy).  Here is my
>attempt, but I don't know how to create the 4 different best-fit lines
>representing the 4 different interaction levels:
>with(mydata,interaction.plot(age,gender,score))

by(mydata,gender*age,function(x) abline(lm(x$score~x$happiness)))



>
>Any ideas?  Any help would be greatly appreciated with these two plots.
>Thanks so much!

I hope this does what you want.

Bill



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