Measurement Invariance of Latent Variables: Foundation and Testing

In multi-group and longitudinal studies, it is important to test for measurement  invariance.  Recently,  several  authors  have  pointed  out  that  currently  used  test procedures  for  measurement  invariance  (MI)  do  not  fully  test  for  MI  and  that  additional assumptions about the invariance of the referent indicator are needed in order to conclude that actual data satisfy MI.

In this project we investigate the mathematical and statistical foundations of MI. Our goal is to develop a coherent framework for the conceptualisation of MI and futhermore to develop computational tools for investigating MI.