Open AccessNUMERICAL METHODS FOR POLYNOMIAL MODELS IN NONLINEAR FACTOR ANALYSIS
Author(s) -
McDonald Roderick P.
Publication year - 1965
Publication title -
ets research bulletin series
Language(s) - English
Resource type - Journals
eISSN - 2333-8504
pISSN - 0424-6144
DOI - 10.1002/j.2333-8504.1965.tb00519.x
Subject(s) - nonlinear system , polynomial , mathematics , factor (programming language) , class (philosophy) , product (mathematics) , algebraic number , polynomial and rational function modeling , algebra over a field , calculus (dental) , computer science , pure mathematics , mathematical analysis , artificial intelligence , geometry , medicine , physics , dentistry , quantum mechanics , programming language
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.