Creating a facet_wrap plot with ggplot2 with different annotations in each plot

Question

I am using ggplot2 to explore the result of some testing on an agent-based model. The model can end in one of three rounds per realization, and as such I am interested in how player utilities differ in terms of what round the game ends and their relative position in 2D space.

All this is to say that I have generated a facet_wrap plot to show this for each round, but I would also like to annotate each plot with the cor(x,y) for the subset of data represented in each facet. Is there a way to tell ggplot2 that I would like the annotation to use the subset of data generated by facet_wrap? Here is the code I have so far, and what it is producing

library(ggplot2)

# Load data
abm.data<-read.csv("ABM_results.csv")

# Create new colun for area of Pareto set
attach(abm.data)
area<-abs(((x3*(y2-y1))+(x2*(y1-y3))+(x1*(y3-y2)))/2)
abm.data<-transform(abm.data,area=area)
detach(abm.data)

# Compare area of Pareto set with player utility
png("area_p1.png",res=100,pointsize=20,height=500,width=1600)
area.p1<-ggplot(abm.data,aes(x=area))+geom_point(aes(y=U1_2,colour="Player 1",alpha=0.4))+facet_wrap(~round,ncol=3)+
    annotate("text",0.375,-1.25,label=paste("rho=",round(cor(abm.data$area,abm.data$U1_2),2)), parse=TRUE)+
    scale_colour_manual(values=c("Player 1"="red"))
area.p1+xlab("Area of Pareto Set")+ylab("Player Utility at Game End")+
    opts(title="Final Player 1 Utility by Pareto Set Size and Round Game Ends",legend.position="none")
dev.off()

_{(source: drewconway.com)}

As you can see, there are two problems:

1. The \rho value is of the full dataset, rather than the subsets by 'round'. Is there a way to get the cor(x,y) to print based on only the data shown in each plot?
2. The annotation should read "\rho=some_value" but instead I get "=(\rho,value);" is there a way to fix this?

Answer 1

To fix the second problem use

annotate("text", 0.375, -1.25,
         label=paste("rho==", round(cor(abm.data$area, abm.data$U1_2), 2)),
         parse=TRUE)

i.e. "rho==".

Edit: Here is a solution to solve the first problem

library("plyr")
library("ggplot2")

set.seed(1)
df <- data.frame(x=rnorm(300), y=rnorm(300), cl=gl(3,100))   # create test data
df.cor <- ddply(df, .(cl), function(val) sprintf("rho==%.2f", cor(val$x, val$y)))

p1 <- ggplot(data=df, aes(x=x)) +
             geom_point(aes(y=y, colour="col1", alpha=0.4)) +
             facet_wrap(~ cl, ncol=3) +
             geom_text(data=df.cor, aes(x=0, y=3, label=V1), parse=TRUE) +
             scale_colour_manual(values=c("col1"="red")) +
             opts(legend.position="none")
print(p1)

Answer 2

The same question may be asked as for adding segments for each facet. We can solve these general problems by geom_segment instead of annotate("segment",...), for the geom_foo, we can define a data.frame to store the data for the geom_foo.