We have derived the Hessian matrix of a general type of fitting function commonly used in the analysis of linear latent-variable models.

We proved the algebraic equality between Jennrich's (1970) asymptotic [chi]2 test for equality of correlation matrices, and a Wald test statistic derived from the Neudecker and Wesselman (1990) expression of the asymptotic variance matrix of the sample correlation matrix.

Asymptotic chi-squared test statistics for testing the equality of moment vectors are developed. The test statistics proposed are generalized Wald test statistics that specialize for different settings by inserting an appropriate asymptotic variance matrix of sample moments. Scaled test...