CFA with lavaan or with SEM

Hi John

Thanks for your quick reply.

The full warning I got is

' Error in csem(model = model.description, start, opt.flag = 1, typsize = typsize,  :
  The matrix is non-invertable.'

The eigenvalues of the tetrachoric correlations are non negative. So it is must be how I am defining my model.

I have also tried it without having lavaan in the session.

A wee example of my error (whether it is sensible);

library(sem)

my.cor<-matrix(c( 1.0000000  ,  0.7600616  ,  0.3653309 ,   0.4377949 , 0.2917927 ,   0.5133697,
    0.7600616 ,   1.0000000,   0.6335519 ,   0.8288809 , 0.6223942  ,  0.6355725,
     0.3653309 ,  0.6335519  ,  1.0000000 ,   0.9098309 , 0.9098309  ,  0.7693395,
     0.4377949 , 0.8288809  ,  0.9098309  ,  1.0000000  ,0.9136967   , 0.7829854,
      0.2917927  ,0.6223942  ,  0.9098309  ,  0.9136967  ,1.0000000   , 0.7354562,
     0.5133697  ,0.6355725  ,  0.7693395  ,  0.7829854 , 0.7354562   , 1.0000000),
        nrow=6,byrow=T)

colnames(my.cor)<-rownames(my.cor)<-c("a","b","c","d","e","g")

eigen(my.cor)
solve(my.cor)

#i tried defining the model in two ways

        model.1<-matrix(c(
        #       arrow           #parameter              #start
                "f -> a",       "g1",                   NA,
                "f -> b",       "g2",                   NA,
                "f -> c",       "g3",                   NA,
                "f -> d",       "g4",                   NA,
                "f -> e",       "g5",                   NA,
                "f -> g",       "g6",                   NA,
                "f <-> f",      NA,                     1),
                ncol=3,byrow=T)

out<-sem(model.1,S=my.cor,200)

model.1 <- specifyEquations()
 f1 = gam11*a + gam12*b + gam13*c + gam14*d + gam15*e + gam16*g
 f1 = 1* f1

out<-sem(model.1,S=my.cor,200)

But the same error.

I would be very grateful if you could indicate where the error in my code is please.


thanks, david




-----Original Message-----
From: John Fox [mailto:jfox at mcmaster.ca]
Sent: 23 January 2013 14:00
To: David Purves
Cc: r-help at R-project.org
Subject: Re: [R] CFA with lavaan or with SEM

Dear David,

On Wed, 23 Jan 2013 11:19:09 +0000

Hi

Sorry for the rather long message.

. . .

I have tried the analysis using John Fox's SEM package / command.

I calculate the correlation matrix with smoothing

my.cor<-hetcor(north.dat.sub,use="pairwise.complete.obs")$correlations

This returns the warning indicating that the correlation matrix was adjusted to make it positive definite. However the following sem model does not run, with the error message that the matrix is non-invertible.

mod1<-sem::sem(sem .model.1, S=my.cor, 300)

Should the smoothing not allow it to be inverted?

If the input correlation matrix is really positive definite, then it has an inverse. You could check directly, e.g., by looking at the eignevalues of the tetrachoric correlation matrix. There's very little here to go on, not even the error message produced by sem(). By the way, I assume that you didn't really call sem in the sem package as sem::sem in a session in which lavann was loaded. I'm not sure what would happen if you did that.

Best,
 John

------------------------------------------------
John Fox
Sen. William McMaster Prof. of Social Statistics Department of Sociology McMaster University Hamilton, Ontario, Canada http://socserv.mcmaster.ca/jfox/

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