| Abstract: | Theory, research, and application in developmental science share the conceptual and methodological challenges of integrating the study of the course of a person's intra-individual changes and the formulation of subgroup (differential) or nomothetic generalizations. One approach to these challenges has involved building tailored construct representations that filter out irrelevant idiosyncratic information hampering the articulation of nomothetic relations by means of individual level factor analysis (P–technique). Exploring this approach has provided initially promising results (Nesselroade, Gerstorf, Hardy, & Ram, 2007 Nesselroade , J. R. , Gerstorf , D. , Hardy , S. A. , & Ram , N. ( 2007 ). Idiographic filters for psychological constructs . Measurement: Interdisciplinary Research and Perspectives , 5 , 217 – 235 . doi: DOI: 10.1080/15366360701741807 [Taylor & Francis Online] , [Google Scholar]). We present a specification of an alternative to traditional factor invariance (higher-order invariance) that further formalizes these ideas and examine the results of some simulation experiments designed to evaluate the appropriateness of the implementation. The results also have implications for use in basic and applied work across the life span of between-persons variation and subgroup comparisons to establish relations among variables. |
