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Reinhard Oldenburg

Publications and source records attributed to Reinhard Oldenburg.

3 recordsLinked to original sources
arXiv2021

Case based error variance corrected estimation of structural models

A new method for estimating structural equation models (SEM) is proposed and evaluated. In contrast to most other methods, it is based directly on the data, not on the covariance matrix of the data. The new approach is flexible enough to handle non-linear and non-smooth models and allows to model various constraints. Principle strengths and weaknesses of this approach are discussed and simulation studies are performed to reveal problems and potentials of this approach.

stat.ME↗
arXiv2021

A Hybrid Symbolic/Numeric Solution To Polynomial SEM

There are many approaches to nonlinear SEM (structural equation modeling) but it seems that a rather straightforward approach using Isserlis' theorem has not yet been investigated although it allows the direct extension of the standard linear approach to nonlinear linear SEM. The reason may be that this method requires some symbolic calculations done at runtime. This paper describes the class of appropriate models and outlines the algorithm that calculates the covariance matrix and higher moments. Simulation studies show that the method works very well and especially that tricky models can be estimated accurately by taking higher movements into account, too.

stat.CO↗