title: The role of multiple-group measurement invariance in family psychology research.
abstract: Measurement invariance (MI) is a property of measurement that is often implicitly assumed, but in many cases, not tested. When the assumption of MI is tested, it generally involves determining if the measurement holds longitudinally or cross-culturally. A growing literature shows that other groupings can, and should, be considered as well. Additionally, it is noted that the standard techniques for investigating MI have been focused almost exclusively on the case of 2 groups, with very little work on the case of more than 2 groups, even though the need for such techniques is apparent in many fields of research. This paper introduces and illustrates a model building technique to investigating MI for more than 2 groups. This technique is an extension of the already-existing hierarchy for testing MI introduced by Meredith (1993). An example using data on father involvement in 5 different groups of families of children with and without developmental disabilities from the Early Childhood Longitudinal Study-Birth Cohort dataset will be given. We show that without considering the possible differential functioning of the measurements on multiple developmental groups, the differences present between the groups in terms of the measurements may be obscured. This could lead to incorrect conclusions.
authors.affiliation: Department of Psychology, University of Illinois at Urbana-Champaign.
authors.forename: Justin L
authors.identifier: 0000-0002-4772-2241
authors.initials: JL
authors.lastname: Kern
authors.affiliation: Department of Human and Community Development, University of Illinois at Urbana-Champaign.
authors.forename: Brent A
authors.initials: BA
authors.lastname: McBride
authors.affiliation: Waisman Center, University of Wisconsin-Madison.
authors.forename: Daniel J
authors.initials: DJ
authors.lastname: Laxman
authors.affiliation: School of Family Life, Brigham Young University.
authors.forename: W Justin
authors.initials: WJ
authors.lastname: Dyer
authors.affiliation: Department of Special Education, University of Illinois at Urbana-Champaign.
authors.forename: Rosa M
authors.initials: RM
authors.lastname: Santos
authors.affiliation: Department of Early Childhood Education, St. Ambrose University.
authors.forename: Laurie M
authors.initials: LM
authors.lastname: Jeans
mesh_terms: D000704:Analysis of Variance; D002675:Child, Preschool; D019988:Children with Disabilities; D005190:Family / Q000523:psychology*; D005219:Father-Child Relations; D006801:Humans; D008137:Longitudinal Studies; D015203:Reproducibility of Results; D012107:Research Design