Numerical Methods for Polynomial Models in Nonlinear Factor Analysis

ABSTRACT The basic concepts of nonlinear factor analysis are introduced and some extensions of the general theory are developed. An elementary account of the class of multiple‐factor polynomial models is presented, using more elementary algebraic methods than have been employed in earlier accounts of this theory. Working formulas are developed for the multiple‐factor polynomial model without product terms and for the simplest case of a model with product terms. Some empirical results are presented.