Chi-Square Test for MCAR in LCA PreviousNext
Mplus Discussion > Latent Variable Mixture Modeling >
 Dipali Rinker posted on Friday, December 06, 2013 - 12:06 pm

I am running an LCA, and was wondering what a significant Pearson Chi-square test for MCAR means.

Thank you,
 Tihomir Asparouhov posted on Friday, December 06, 2013 - 3:22 pm
It means that the MCAR hypothesis is rejected, i.e., the missing data are not missing completely at random and most likely the probability of missingness depends on other variables in the model (i.e. it is not constant across all observations).

More information on that particular test is available in

Fuchs (1982) Maximum Likelihood Estimation and Model Selection in Contingency Tables With Missing Data J of Amer Stat Assn.
 Tihomir Asparouhov posted on Friday, December 06, 2013 - 5:02 pm
Also, I forgot to say, you don't need to worry about this. The estimates of the LCA model are still unbiased even though MCAR doesn't hold. That is because the ML estimation yields unbiased estimates under the more general MAR hypothesis.
 Dipali Rinker posted on Saturday, December 07, 2013 - 1:19 pm
Hello, thank you for your response. Yes, I was wondering in what way this would affect my estimates.

Thank you again,

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