```
set.seed(42)
x <- sim.item(12,500)
f2 <- fa(x[1:250,],2,scores=TRUE) # a two factor solution
p2 <- principal(x[1:250,],2,scores=TRUE) # a two component solution
round(cor(f2$scores,p2$scores),2) #correlate the components and factors from the A set
#find the predicted scores (The B set)
pf2 <- predict(f2,x[251:500,])
pp2 <- predict(p2,x[251:500,])
round(cor(pf2,pp2),2) #find the correlations in the B set
#test how well these predicted scores match the factor scores from the second set
fp2 <- fa(x[251:500,],2,scores=TRUE)
round(cor(fp2$scores,pf2),2)
#note that the signs of the factors in the second set are arbitrary
```

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