Comparing group means with the total mean in random samples, surveys, and large-scale assessments: A tutorial and software illustration

In many disciplines of the social sciences, comparisons between a group mean and the total mean is a common but also challenging task. As one solution to this statistical testing problem, we propose using linear regression with weighted effect coding. For random samples, this procedure is straightforward and easy to implement by means of standard statistical software. However, for complex or clustered samples with imputed or weighted data, which...