Indirect effect with dependant catego... PreviousNext
Mplus Discussion > Structural Equation Modeling >
 Anonymous posted on Sunday, June 20, 2004 - 11:08 am
I have a model with two continuous latent variables F1 and F2, and one categorical variable X (a binary 0/1 variable). I am interested by the standardized indirect effect from F1 to X. The statements of model are: F2 ON F1; X ON F2; X VIA F2 F1; Is it correct to consider the STDYX coefficient of the indirect effect as standardized probit regression coefficient ?
 Linda K. Muthen posted on Sunday, June 20, 2004 - 12:38 pm
Yes because the end dependent variable is binary.
 Anonymous posted on Sunday, June 20, 2004 - 1:44 pm
Thank you Linda Muthén for your response.
 Anonymous posted on Tuesday, October 05, 2004 - 10:00 am
Hi Dr. Linda,

When we present results of StdYX we must know S.E.or p-value of StdYX. I'm not sure whether we can use Est./S.E. offered in the default display?
If not how can I know the significance level of StdYX?

 Linda K. Muthen posted on Tuesday, October 05, 2004 - 10:32 am
The standard errors given in the output are for the raw coefficients. They are not the standard errors for the standardized coefficients. You would need to compute these standard errors using the Delta method.
 Anonymous posted on Tuesday, October 05, 2004 - 12:02 pm
Do you mean in Analysis command using
Parameterization=delta; ?

This is the default paramerization of Mplus. The results are the same with or without using Parameterization=delta.
if Type=general.

I do not know anything else about Delta method.
Could you tell me the syntax needed for calculating S.E. or p-value of StdYX results?

 Linda K. Muthen posted on Tuesday, October 05, 2004 - 12:13 pm
No, it is not PARAMETERIZATION = DELTA. You will need to read about the Delta method for computing standard errors in a book like Bollen's SEM book.
 Anonymous posted on Tuesday, October 05, 2004 - 12:34 pm
 Daniel posted on Wednesday, March 30, 2005 - 10:34 am
I used bootstrap standard errors to assess the significance of an indirect effect on an ordered categorical dependent variable. The indirecte effect was signficant. Is it possible to compute an odds ratio (exponentiating the log odds Beta) and confidence interval using the indirect effect, or does that not make sense?
 BMuthen posted on Saturday, April 02, 2005 - 8:27 pm
I think that makes sense if you are using maximum likelihood estimation which uses the logit model. The indirect effect still refers to a slope.
 Michael Businelle posted on Monday, July 27, 2009 - 10:31 am
I have a couple of questions.

First, the output for 'model indirect' in Mplus lists the estimates, standard errors, and two-tailed p-values for each direct and indirect effect. My question is: What are the listed p-values testing? Are these p-values an indication of whether the indirect effects are significant?

Second, my model includes multiple mediators regressed upon each other. For example, one of the indirect paths is SES-->Social support-->Negative affect-->Self-efficacy-->Smoking relapse (categorical/binary). Is there a test to determine if this complex mediational/indirect path is significant? Is that what is already reported in the indirect output?

thanks so much in advance.
 Linda K. Muthen posted on Monday, July 27, 2009 - 4:31 pm
The test is whether the indirect effect is different from zero. The p-value is the value for the z-test given in column three, the ratio of the indirect effect to its standard error.

If you define the indirect effect as described above, it will be tested against zero. This is what is reported in the output.
 Michael B posted on Tuesday, July 28, 2009 - 6:20 am
A reviewer requested that I describe how the indirect effects were tested. Can you refer me to a paper that describes what Mplus does to test this type of complex indirect effect? Is there a name for this type of test?
 Linda K. Muthen posted on Tuesday, July 28, 2009 - 8:33 am
The standard errors for the indirect effects are estimated using the Delta method. The ratio of the parameter estimate to its standard error is a z-test.
 Jo Brown posted on Wednesday, July 04, 2012 - 8:30 am
In the post above you mention that the SEs of the indirect effects are estimated using the Delta method. Is this robust to potential bias or should I still use bootstrapping to estimate bias-corrected SEs?
 Linda K. Muthen posted on Thursday, July 05, 2012 - 10:39 am
I would use bias-corrected confidence intervals.
 Jo Brown posted on Friday, July 06, 2012 - 2:55 am
Hi Linda,

thanks for your reply. Would you this using the bootstrap option or is there an alternative command.

 Linda K. Muthen posted on Friday, July 06, 2012 - 5:51 am
See the BCBOOTSTRAP setting of the CINTERVAL option.
 Jo Brown posted on Monday, July 09, 2012 - 3:55 am
Thanks Linda, I now have one more question re. CIs for mediation analyses as I now need to repeat my analyses on a number of imputed datasets;

however, when I specified output: CINTERVAL(bcbootstrap) I receive the following message:

CINTERVAL option is not available with multiple imputation. Request for CINTERVAL is ignored.

Is there a way around this problem that would allow me to obtain CI for imputed datasets? Could I simply calculate the CIs by using:

estimate +or- (1.96*SE) in this case?

Many thanks,
 Jo Brown posted on Monday, July 09, 2012 - 9:00 am
one more thing is: are the confidence intervals calculated using the CINTERVAL option based on a normality assumption?
 Linda K. Muthen posted on Monday, July 09, 2012 - 11:58 am
You can use plus/minus 1.96 times the standard error. The is not BCBOOTSTRAP.

See the description of the settings of the CINTERVAL option in the user's guide.
 Jo Brown posted on Monday, July 09, 2012 - 12:10 pm
thanks Linda.

If I use the formula above, should I use bootstrap to obtain bootstrapped SEs or is this not necessary?

Are the CIs so calculated not accounting for potential bias?

Many thanks again
 Linda K. Muthen posted on Tuesday, July 10, 2012 - 10:13 am
That would need to be your decision.

The confidence intervals are symmetric. See the user's guide.
 Jo Brown posted on Tuesday, July 10, 2012 - 12:00 pm
thank you
 Selahadin Ibrahim posted on Thursday, January 31, 2013 - 7:19 am
Hi Linda,

I am using method WLSMV, and I have several binary mediators and binary covariates. I specified STDY in the OUTPUT, and no standardized estimates were produced.

When I specified STANDARDIZED, the output only showed two columns w/ STDYX and STD (which are identical to the unstandardized estimates).

Do we have to calculate the one-way standardization (STDY) by hand? Or is there a way to get it in the MPlus output?

Thanks for considering this question,
 Linda K. Muthen posted on Thursday, January 31, 2013 - 7:33 am
You need to convert STDYX to STDY yourself.
 Selahadin Ibrahim posted on Thursday, January 31, 2013 - 8:39 am
Thanks Linda.
 Elina Dale posted on Wednesday, September 18, 2013 - 9:37 am
Dear Dr. Muthen,
I have 2 groups randomized into trx & contr. As there was a high % of non-compliance, I used CACE to estimate the effect of trx on M, which was my outcome here (Ex 7.23 & 7.24 in MPlus 7 Guide). It worked fine. M is a latent variable measured through 3 f's.

Now I need to specify a mediation model (trx-->M-->y). I modified input commands from paper 1 (I still need to use CACE b/c of high % NC w/ trx)[see below]. But I got error message [below]. I don't know what to change. Please, advise!
CATEGORICAL = u i1-i9 ;
CLASSES = c(2)
CLUSTER = clus;
f1 BY i1 i2 i3 ;
f2 BY i4 i5 i6 ;
f3 BY i7 i8 i9 ;
f1 ON trx ;
f2 ON trx ;
f3 ON trx ;
c ON z1 z2 z3 ;
y ON f1 ;
y ON f2 ;
y ON f3 ;

[u$1@-15] ;
f1 ON trx ;
f2 ON trx ;
f3 ON trx ;

[u$1@15] ;
f1 ON trx @0;
f2 ON trx @0;
f3 ON trx @0;
f4 ON trx @0;

The following MODEL statements are ignored:
* Statements in the OVERALL class:
 Elina Dale posted on Wednesday, September 18, 2013 - 9:40 am
Sorry, it's me again! I am lost because I am not sure how to specify a model when I have to use CACE and I have a mediating latent variable. I couldn't find any such examples in MPlus Guide or the Shrout and other papers.

I would greatly appreciate it if you could help me & modify my commands from the previous posting.

Thank you!
 Linda K. Muthen posted on Wednesday, September 18, 2013 - 9:50 am
Please send the full output and your license number to
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