Assessing Local Influence for Nonlinear Structural Equation Models with Ignorable Missing Data

A method is proposed in this paper to assess the local influence of minor perturbation for a nonlinear structural equation model with missing data that are missing at random. The main idea is to apply Zhu and Lee's (2001) approach to the conditional expectation of the complete-data log-likelihood function in the corresponding EM algorithm for deriving the conformai normal curvature. Building blocks for achieving the diagnostic measures are computed via latent variables that are generated by the Gibbs sampler and Metropolis-Hastings algorithm. It is shown that the proposed methodology is feasible for a wide variety of perturbation schemes. To illustrate the methodology, results that are obtained from analysis of an artificial example and a real example are presented