How can I obtain the cross loadings with lavaan?

641 views
Skip to first unread message

Abc Abc

unread,
Jun 22, 2019, 12:52:46 PM6/22/19
to lavaan
Dear lavaan team,

In my understanding, cross loadings can only be obtained from Structural Equation modeling (i.e. not from CFA). Am I correct? (I read another answer mentioning that CFA can generate cross loading after certain proceures, but I do not really understand the idea. https://groups.google.com/forum/#!searchin/lavaan/cross$20loading|sort:date/lavaan/X_yaIobn7Xo/s1FTUEfhBwAJ)

How should I obtain the cross loadings with lavaan?

Code for reference:
model1 <- 'O  =~ o1 + o2 + o3 + o4 + o5
T  =~  t1 + t2 + t3 + t4
G =~ g1 + g2 + g3
P =~ p1 + p2 + p3
P ~ OC + TC + TGC'

fit1 <- sem(model1, data=data)

Thank you in advance for your help.

car...@web.de

unread,
Jun 22, 2019, 1:31:40 PM6/22/19
to lav...@googlegroups.com
If you do not specify cross loadings, you will not get cross loadings. This has nothing to do with CFA or SEM. You could pull information from the modification indiced or specify an E/CFA.
Am 22.06.19, 18:52, Abc Abc <tuo...@gmail.com> schrieb:
--
You received this message because you are subscribed to the Google Groups "lavaan" group.
To unsubscribe from this group and stop receiving emails from it, send an email to lavaan+un...@googlegroups.com.
To post to this group, send email to lav...@googlegroups.com.
Visit this group at https://groups.google.com/group/lavaan.
To view this discussion on the web visit https://groups.google.com/d/msgid/lavaan/3a771ae5-2712-4966-9396-14f721651fb8%40googlegroups.com.
For more options, visit https://groups.google.com/d/optout.

Abc Abc

unread,
Jun 22, 2019, 1:55:12 PM6/22/19
to lavaan
How can I specify cross loading? Can you give me an example with the code I provided?


On Saturday, June 22, 2019 at 7:31:40 PM UTC+2, car...@web.de wrote:
If you do not specify cross loadings, you will not get cross loadings. This has nothing to do with CFA or SEM. You could pull information from the modification indiced or specify an E/CFA.
Am 22.06.19, 18:52, Abc Abc <tuo...@gmail.com> schrieb:
Dear lavaan team,

In my understanding, cross loadings can only be obtained from Structural Equation modeling (i.e. not from CFA). Am I correct? (I read another answer mentioning that CFA can generate cross loading after certain proceures, but I do not really understand the idea. https://groups.google.com/forum/#!searchin/lavaan/cross$20loading|sort:date/lavaan/X_yaIobn7Xo/s1FTUEfhBwAJ)

How should I obtain the cross loadings with lavaan?

Code for reference:
model1 <- 'O  =~ o1 + o2 + o3 + o4 + o5
T  =~  t1 + t2 + t3 + t4
G =~ g1 + g2 + g3
P =~ p1 + p2 + p3
P ~ OC + TC + TGC'

fit1 <- sem(model1, data=data)

Thank you in advance for your help.

--
You received this message because you are subscribed to the Google Groups "lavaan" group.
To unsubscribe from this group and stop receiving emails from it, send an email to lav...@googlegroups.com.

car...@web.de

unread,
Jun 22, 2019, 2:14:16 PM6/22/19
to lav...@googlegroups.com
[...]
T =~ t1 + t2 + t3 + t4 + g2

G =~ g1 + g2 + g3
[...]

Now g2 is related to more than one factor. If you want something in EFA style, fit an E/CFA.
Am 22.06.19, 19:55, Abc Abc <tuo...@gmail.com> schrieb:
To unsubscribe from this group and stop receiving emails from it, send an email to lavaan+un...@googlegroups.com.

To post to this group, send email to lav...@googlegroups.com.
Visit this group at https://groups.google.com/group/lavaan.

Abc Abc

unread,
Jun 22, 2019, 2:50:47 PM6/22/19
to lavaan
Thank you.

How can I obtain cross loading after this? With inspect()? If yes, which matrix should I look at?

car...@web.de

unread,
Jun 22, 2019, 3:24:56 PM6/22/19
to lav...@googlegroups.com
Am 22.06.19, 20:50, Abc Abc <tuo...@gmail.com> schrieb:
To unsubscribe from this group and stop receiving emails from it, send an email to lavaan+un...@googlegroups.com.

To post to this group, send email to lav...@googlegroups.com.
Visit this group at https://groups.google.com/group/lavaan.

Edward Rigdon

unread,
Jun 22, 2019, 3:31:41 PM6/22/19
to lav...@googlegroups.com
     If you are a PLS path modeling user, then "cross-loadings" are correlations between the component observed variables of one composite and a different composite. They, of course, are not "loadings" because PLS path modeling is a method of composites, not a method of common factors.
     The closest analogy in CFA / factor-based SEM are "structure coefficients," which are the correlations between observed variables and common factors. You can find these by multiplying the loading matrix times the factor correlation matrix. They don't provide any new information in factor-based methods, since they are precisely the product of those two parameter matrices. In particular, they don't have diagnostic value, because, again, they contain no new information.

To unsubscribe from this group and stop receiving emails from it, send an email to lavaan+un...@googlegroups.com.

To post to this group, send email to lav...@googlegroups.com.
Visit this group at https://groups.google.com/group/lavaan.

Abc Abc

unread,
Jun 22, 2019, 3:34:53 PM6/22/19
to lavaan
Just to make sure: it is the same as factor loading, except the model specification part?

car...@web.de

unread,
Jun 22, 2019, 3:49:43 PM6/22/19
to lav...@googlegroups.com
Ed, thanks for clarification. Independently of this, the term "cross loading" can also be found in the CB SEM vocabulary. You can find it for example on slides provided by Yves: https://users.ugent.be/~yrosseel/lavaan/zurich2017/INTRO/lavaan_intro_zurich2017.pdf

Now if ABC ABC wants to check whether an indicator loads on multiple factors, then I can't see a mistake in my answers. Is there any?
Am 22.06.19, 21:31, Edward Rigdon <edward...@gmail.com> schrieb:
     If you are a PLS path modeling user, then "cross-loadings" are correlations between the component observed variables of one composite and a different composite. They, of course, are not "loadings" because PLS path modeling is a method of composites, not a method of common factors.
     The closest analogy in CFA / factor-based SEM are "structure coefficients," which are the correlations between observed variables and common factors. You can find these by multiplying the loading matrix times the factor correlation matrix. They don't provide any new information in factor-based methods, since they are precisely the product of those two parameter matrices. In particular, they don't have diagnostic value, because, again, they contain no new information.

On Sat, Jun 22, 2019 at 1:55 PM Abc Abc <tuo...@gmail.com> wrote:
To unsubscribe from this group and stop receiving emails from it, send an email to lavaan+un...@googlegroups.com.

To post to this group, send email to lav...@googlegroups.com.
Visit this group at https://groups.google.com/group/lavaan.
To view this discussion on the web visit https://groups.google.com/d/msgid/lavaan/4c76cf5b-4f2f-49ed-9a05-6b7594287f13%40googlegroups.com.
For more options, visit https://groups.google.com/d/optout.

--
You received this message because you are subscribed to the Google Groups "lavaan" group.
To unsubscribe from this group and stop receiving emails from it, send an email to lavaan+un...@googlegroups.com.

To post to this group, send email to lav...@googlegroups.com.
Visit this group at https://groups.google.com/group/lavaan.
Message has been deleted

Edward Rigdon

unread,
Jun 28, 2019, 11:30:39 AM6/28/19
to lav...@googlegroups.com
Yes, you can even mention the same observed variable twice in the same line of syntax with different modifiers, as in
f =~ a*x1 + start(2)*x1
which labeles teh loading of x1 "a" and gives it a starting value of 2

Statistical identification becomes more complex with indicators loading on multiple factors.  This is different from composite-based methods like PLS path modeling. So you have to be on the lookout for evidence of identification problems. There are better methods for assessing statistical identification beforehand, but they have not caught on with this literature.

On Fri, Jun 28, 2019 at 10:20 AM Abc Abc <tuo...@gmail.com> wrote:
Are you sure that e.g. g2 can be written twice in the groups of definition?


On Saturday, June 22, 2019 at 8:14:16 PM UTC+2, car...@web.de wrote:

--
You received this message because you are subscribed to the Google Groups "lavaan" group.
To unsubscribe from this group and stop receiving emails from it, send an email to lavaan+un...@googlegroups.com.
To post to this group, send email to lav...@googlegroups.com.
Visit this group at https://groups.google.com/group/lavaan.
Reply all
Reply to author
Forward
0 new messages