Simula@BI seminar: Julien P. Irmer, Goethe University
Simula@BI invites Julien P. Irmer to talk about Motivation and Diagnostics for Nonlinear Structural Equation Models Using Non-Parametric Regression Among Factor Scores.
In this talk, we provide a framework for motivating and diagnosing the functional form in the structural part of nonlinear or linear structural equation models describing relationships among latent variables when the measurement model is a correctly specified linear confirmatory factor model common in the social sciences literature.
A mathematical population based analysis provides asymptotic identification results for conditional expectations of endogenous latent variables given exogenous latent variables, and theoretically well-founded estimates of this conditional expectation are suggested. Simulation studies show that these estimators behave well compared to presently available alternatives. The talk will be guided by simulation based empirical examples. Practically, we recommend the estimator using Bartlett factor scores as input to classical non-parametric regression methods.