Binary Data at Level-2 PreviousNext
Mplus Discussion > Multilevel Data/Complex Sample >
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 Anonymous posted on Wednesday, October 12, 2005 - 5:37 pm
Is it possible to have binary (0 and 1) variables at level-2 in multi-level sem?
 Linda K. Muthen posted on Wednesday, October 12, 2005 - 5:46 pm
Yes. This is possible.
 Alicia Doyle posted on Thursday, March 16, 2006 - 5:15 pm
I am using a dichotomous outcome (yes/no DSM-IV diagnosis) as 2 dependent variables in a 2 level model. When I include the command "categorical are XX XX", I get an error message "RECIPROCAL INTERACTION PROBLEM". Without the "categorical" statement, the model runs fine. Is it necessary to label dichotomous variables as categorical in multilevel modeling?
 Linda K. Muthen posted on Friday, March 17, 2006 - 7:19 am
Are you turning one yes/no variable into two variables? It sounds that way but maybe I misunderstand. If so, this is not necessary. Use only one variable. This variable should be placed on the CATEGORICAL list.
 Alicia Doyle posted on Friday, March 17, 2006 - 8:34 am
Thank you for your response. I will list the 2 variables (they are two separate variables, each with a possibility of 0 for does not meet criteria and 1 for meets diagnostic criteria) as categorical. Now, is there anyway to amend the problem of "RECIPROCAL INTERACTION" with my data - or and I just not able to run this model? Thank you.
 Linda K. Muthen posted on Friday, March 17, 2006 - 9:31 am
Given that you have two variables, you need to send the input, data, output and your license number to support@statmodel.com so I can see what the reciprocal interaction message is coming from.
 Henrika McCoy posted on Wednesday, July 09, 2008 - 3:12 pm
Is there a solution to this problem? I have a model with a dichotomous independent variable, one dichotomous mediating variable, three continuous mediating variables and one dichotomous dependent variable. I have listed the dichotomous mediating and dependent variables in the CATEGORICAL list. Is there something that I should do differently so that I don't get the 'RECIPROCAL INTERACTION" message?
 Linda K. Muthen posted on Wednesday, July 09, 2008 - 3:28 pm
Which version of Mplus are you using?
 Henrika McCoy posted on Wednesday, July 09, 2008 - 3:42 pm
It appears to be version 4. I am a doctoral student using the school's program. Would using the newer version eliminate my problem?
 Linda K. Muthen posted on Wednesday, July 09, 2008 - 4:26 pm
Your problem should fit in the Demo. Try it there. I think a newer version would solve the problem.
 Henrika McCoy posted on Wednesday, July 09, 2008 - 4:44 pm
Okay I will thank you so much!
 Henrika McCoy posted on Wednesday, July 09, 2008 - 5:03 pm
Dr. Muthen, I downloaded the demo and tried it and I am still getting the "RECIPROCAL INTERACTION PROBLEM" message, is there something else that could cause me to get the message?
 Linda K. Muthen posted on Wednesday, July 09, 2008 - 5:19 pm
Then you would need to send the input, data, and your license number to support@statmodel.com.
 Tyler Burch posted on Friday, December 04, 2015 - 12:17 pm
First, thank you so much for what you do to help the discipline. I am trying to run a mediation analysis using a level 1-2-2 configuration. I run the following syntax as suggested by Preacher, although I change the Estimator to WLSMV because my outcome is dichotomous. This does not work as the Estimator defaults to ML. I am wondering if there is a way to run a mediation analysis using a 1-2-2 configuration with a dichotomous outcome. Thanks for your help!
ANALYSIS: TYPE IS TWOLEVEL RANDOM; Estimator = WLSMV;
MODEL: ! model specification follows
%WITHIN% ! Model for Within effects follows
aWFCIND; ! estimate Level-1 (residual) variance for x
%BETWEEN% ! Model for Between effects follows
bFAMSAT SEPCDmx; ! estimate Level-2 (residual) variances for m and y
bFAMSAT ON aWFCIND(a); ! regress m on x, call the slope "a"
SEPCDmx ON bFAMSAT(b); ! regress y on m, call the slope "b"
SEPCDmx ON aWFCIND; ! regress y on x
MODEL CONSTRAINT: ! section for computing indirect effect
NEW(indb); ! name the indirect effect
indb=a*b; ! compute the Between indirect effect
OUTPUT: TECH1 TECH8 CINTERVAL; ! request parameter specifications, starting values,
! optimization history, and confidence intervals for all effects
 Bengt O. Muthen posted on Friday, December 04, 2015 - 5:58 pm
ML can handle a binary outcome. The indirect effect is still for the continuous latent response variable behind the binary outcome.

You don't need Type = Random.

You can also use Bayes estimation.
 Lisa M. Yarnell posted on Friday, April 21, 2017 - 12:56 pm
Hello, when I model a level-1 outcome (lifetime drinker, coded 0 or 1, by wave) in a 2-level MSEM (time points within persons), Mplus states that there is no variance for the dependent variable at level 1; it cannot be modeled. Why is this, even though this yes/no variable is time-specific?

Thank you.
 Bengt O. Muthen posted on Friday, April 21, 2017 - 5:43 pm
A binary DV generally does not have a free variance parameter on Level-1.
 Lisa M. Yarnell posted on Monday, April 24, 2017 - 6:19 am
OK, thank you. I understand that the mean of a DV is a level-2 parameter, and given the complete dependency of the mean and variance of a dichotomous variable, it would make sense that there is only variance for said DV on level 2.

Is the level-2 variance parameter then interpreted as a "blend" of level-1 and level-2 variance?

Or is there only level-2 variance in a stricter sense? I am running conditional models and want to make sense of the variance explained statistics. I am seeing Mplus only give the variance estimate on level 2, with some interesting changes as I add level-1 and level-2 predictors.

Thank you.
 Bengt O. Muthen posted on Monday, April 24, 2017 - 11:48 am
No, that's not how this should be understood. On level 1 there is not a free variance parameter in line with probit/logit regression with a binary DV. Or, it can be seen as fixed (at 1 for probit). On level 2 you consider the random intercept for this binary DV and the random intercept is a continuous variable connected with several free parameters: mean, variance, and regression parameters (Mplus reports the threshold instead of the mean.)

So, no, the level-2 variance is not a blend.

Our short course handouts on this give several good background readings for really understanding this.
 Lisa M. Yarnell posted on Monday, April 24, 2017 - 3:26 pm
Thanks, Dr. Muthen. Could you point me to one of the short course handouts in particular, and I will search for the background readings it provides? I saw several short course documents on the statmodel.com website pertaining to multilevel modeling, and I wonder which one I might view to see the references. Can you help?
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