Test for MCAR PreviousNext
Mplus Discussion > Missing Data Modeling >
 cricket posted on Monday, May 24, 2004 - 8:59 am
When I run mixture models with all available data (e.g., type=mixture missing;), I get a likelihood ratio chi-square test for MCAR. However, I don't get that test when running ordinary LGM with (type = meanstructure missing h1). Is there any way to get that same test?
 bmuthen posted on Monday, May 24, 2004 - 9:57 am
You only get this test with categorical outcomes.
 cricket posted on Monday, May 24, 2004 - 10:07 am
I ran an LGM with my categorical outcome with the same instructions as above (i.e., analysis: meanstructure missing h1;), and I still didn't get the test.
 Linda K. Muthen posted on Monday, May 24, 2004 - 10:21 am
I should have said you only get this test with categorical outcomes and TYPE=MIXTURE not with an ordinary non-mixture growth model. You could use TYPE=MIXTURE and CLASSES = c (1); if you really want it.
 cricket posted on Monday, May 24, 2004 - 10:26 am
 Charles Green posted on Monday, April 30, 2007 - 9:15 am
Is there information on the way that MPlus calculates its chi-square test of MCAR. I have looked through the manual and technical appendices, perhaps I have missed it.
 Linda K. Muthen posted on Monday, April 30, 2007 - 9:21 am
See Technical Appendix 6 formula 133.
 Jon Elhai posted on Sunday, June 15, 2008 - 9:12 am
Drs. Muthen,

What is the command syntax for obtaining Little's MCAR test when using type=mixture?
 Linda K. Muthen posted on Monday, June 16, 2008 - 9:23 am
This is available only for categorical outcomes and is given automatically in this case.
 Tracy Witte posted on Wednesday, November 12, 2008 - 11:37 am
For the chi-square test for MCAR, I get a value of 111.37, df = 222, p = 1.0000 for the pearson & 85.65, df = 222, & p = 1.0000 for the likelihood ratio.

Does this mean that MCAR does hold? Or do the p values of 1 mean that this test is uninterpretable?
 Bengt O. Muthen posted on Wednesday, November 12, 2008 - 12:43 pm
The discrepancy between the 2 chi-2's probably indicate that neither is trustworthy due to many zero cells.
 Tracy Witte posted on Wednesday, November 12, 2008 - 1:42 pm
So should I just assume MAR to be safe?
 Bengt O. Muthen posted on Wednesday, November 12, 2008 - 4:13 pm
 Aleksandra posted on Monday, December 08, 2008 - 8:34 pm
Dr. Muthien,
what is the cost of specifying the data as MAR when the data are actually MCAR?

Thank you very much.

 Linda K. Muthen posted on Tuesday, December 09, 2008 - 8:30 am
There is no cost. When MCAR holds, MAR holds.
 Wen-Hsu Lin posted on Sunday, October 19, 2014 - 7:38 pm
Thank you. One additional question of setting up the imputation is that only integer is allowed. So, should I set rounding = 0;?

Thanks a lot.
 Linda K. Muthen posted on Monday, October 20, 2014 - 9:48 am
If you want no decimals, specify ROUNDING=0;
 Hillary Gorin posted on Tuesday, May 29, 2018 - 11:43 am

I am running a growth model using four time points (observed scores across four waves) and am trying to assess whether the data meets the Little's MCAR assumption. The composite scores are categorical (with scores of 0, 1, or 2). Using MLR, I obtain the following results for the Little's MCAR.

Pearson Chi Squared: 190.027
Pearson df: 160
Pearson p: 0.0526

Likelihood Chi Squared: 207.696
Likelihood df: 160
Likelihood p: 0.0066

Because my data are categorical and I am seeking fit statistics, I will be using WLSMV estimation for my main analyses.

Thus, can I trust the Pearson Chi Square Little's MCAR results and assume my data is missing completely at random?

 Tihomir Asparouhov posted on Tuesday, May 29, 2018 - 5:58 pm
I would recommend to make sure that
1. estimator=wlsmv; parameterization=theta;
gives similar results to
2. estimator=ml; link=probit;
3. estimator=bayes;
as evidence that the MCAR assumption is not violated. The PPP value in Bayes can also be used as a fit index. The MCAR test with large number of cells needs large amount of data for proper asymptotic conclusion. Because of the different conclusions you have obtained we can see that the data is not sufficient to get the proper asymptotic behavior anyway. Obviously however there is no strong evidence for MCAR violation and the WLSMV results are most likely fine.
 Hillary Gorin posted on Friday, June 01, 2018 - 11:03 am
Thank you for these suggestions!! Results look very similar.

Back to top
Add Your Message Here
Username: Posting Information:
This is a private posting area. Only registered users and moderators may post messages here.
Options: Enable HTML code in message
Automatically activate URLs in message