title: A framework for structural equation models in general pedigrees.
abstract: OBJECTIVE
  Structural Equation Modeling (SEM) is an analysis approach that accounts for both the causal relationships between variables and the errors associated with the measurement of these variables. In this paper, a framework for implementing structural equation models (SEMs) in family data is proposed.
  
  
  METHODS
  This framework includes both a latent measurement model and a structural model with covariates. It allows for a wide variety of models, including latent growth curve models. Environmental, polygenic and other genetic variance components can be included in the SEM. Kronecker notation makes it easy to separate the SEM process from a familial correlation model. A limited information method of model fitting is discussed. We show how missing data and ascertainment may be handled. We give several examples of how the framework may be used.
  
  
  RESULTS
  A simulation study shows that our method is computationally feasible, and has good statistical properties.
  
  
  CONCLUSIONS
  Our framework may be used to build and compare causal models using family data without any genetic marker data. It also allows for a nearly endless array of genetic association and/or linkage tests. A preliminary Matlab program is available, and we are currently implementing a more complete and user-friendly R package.
authors.affiliation: Department of Epidemiology and Biostatistics, Case Western Reserve University, Cleveland, OH 44106, USA. njm18@case.edu
authors.forename: Nathan J
authors.initials: NJ
authors.lastname: Morris
authors.forename: Robert C
authors.initials: RC
authors.lastname: Elston
authors.forename: Catherine M
authors.initials: CM
authors.lastname: Stein
mesh_terms: D000293:Adolescent; D003198:Computer Simulation; D005240:Feasibility Studies; D008040:Genetic Linkage; D006801:Humans; D008957:Models, Genetic; D015233:Models, Statistical; D010375:Pedigree; D010976:Platelet Count