A simulation study of the difference chi-square statistic for comparing latent class models under violation of regularity conditions
Loading...
View/Download File
Persistent link to this item
Statistics
View StatisticsJournal Title
Journal ISSN
Volume Title
Title
A simulation study of the difference chi-square statistic for comparing latent class models under violation of regularity conditions
Authors
Published Date
1989
Publisher
Type
Article
Abstract
This study explored the robustness of the likelihood
ratio difference statistic to the violation of a regularity
condition when used to assess differences in fit provided
by pairs of latent class models. Under regularity
conditions, the additive property of the likelihood ratio
statistic can be used to assess the statistical difference
between pairs of hierarchically related models (i.e.,
one model is a constrained form of the other). However,
when one of the two models being compared is
obtained by fixing parameters of the other model at
boundary values (i.e., 0 or 1), a regularity condition is
violated and the difference statistic is not necessarily
distributed as x². The effects of three independent variables
on the distribution of the difference statistics
were studied for two generation models and a variety
of subsuming models. Differential effects in terms of
the direction and the extent of deviation were produced
according to the types of model comparisons;
these effects negate the application of a simple correction
to the statistic to achieve a x² distribution. Recommendations
are made regarding how this statistic
might reasonably be used under violation of the regularity
condition. Index terms: latent class model, likelihood
ratio chi-square, mixture model, regularity
conditions, tests of fit.
Keywords
Description
Related to
Replaces
License
Series/Report Number
Funding information
Isbn identifier
Doi identifier
Previously Published Citation
Holt, Judith A & Macready, George B. (1989). A simulation study of the difference chi-square statistic for comparing latent class models under violation of regularity conditions. Applied Psychological Measurement, 13, 221-231. doi:10.1177/014662168901300301
Other identifiers
doi:10.1177/014662168901300301
Suggested citation
Holt, Judith A.; Macready, George B.. (1989). A simulation study of the difference chi-square statistic for comparing latent class models under violation of regularity conditions. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/107310.
Content distributed via the University Digital Conservancy may be subject to additional license and use restrictions applied by the depositor. By using these files, users agree to the Terms of Use. Materials in the UDC may contain content that is disturbing and/or harmful. For more information, please see our statement on harmful content in digital repositories.