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The new Stata News

Have you seen the latest issue of the Stata News? It has a new format that we think you will love. And, I want to make sure that you are not missing out on the articles discussing what our developers and users are doing with Stata.

We have a new section, User’s corner, that highlights interesting, useful, and fun user contributions. In this issue, you will see how Belén Chavez uses Stata to analyze her Fitbit® data.

We kept your favorite sections, including Spotlight articles written by Stata developers. In this issue, Enrique Pinzón demonstrates Estimating, graphing, and interpreting interactions using margins.

If you haven’t been reading the Stata News, you may want to browse previous Spotlight articles on topics such as endogenous treatment effects, item response theory (IRT), and Bayesian analysis. You can find all the previous Spotlight articles here.

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Group comparisons in structural equation models: Testing measurement invariance

When fitting almost any model, we may be interested in investigating whether parameters differ across groups such as time periods, age groups, gender, or school attended. In other words, we may wish to perform tests of moderation when the moderator variable is categorical. For regression models, this can be as simple as including group indicators in the model and interacting them with other predictors.

We naturally have hypotheses regarding differences in parameters across groups when fitting structural equation models as well. When these models involve latent variables and the corresponding observed measurements, we can test whether those measurements are invariant across groups. Evaluation of measurement invariance typically involves a series of tests for equality of measurement coefficients (factor loadings), equality of intercepts, and equality of error variances across groups.

In this post, I demonstrate how to use the sem command’s group() and ginvariant() options as well as the postestimation command estat ginvariant to easily perform tests of measurement invariance. Read more…