LATENT-VARIABLE REGRESSION-MODELS WITH HIGHER-ORDER TERMS - AN EXTENSION OF RESPONSE MODELING BY ORTHOGONAL DESIGN AND MULTIPLE LINEAR-REGRESSION

被引：25

作者：

KVALHEIM, OM

机构：

[1] Department of Chemistry, University of Bergen

来源：

CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS | 1990年 / 8卷 / 01期

关键词：

D O I：

10.1016/0169-7439(90)80041-4

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 [计算机科学与技术];

摘要：

The latent-variable approach to the linear modelling of a response variable is generalized so as to encompass the possibility of interaction between predictor variables. A rapid, recursive algorithm, which is almost insensitive to roundoff, is presented for inverting the bidiagonal matrix obtained when using higher-order latent-variable regression techniques for response modelling. Expressions are derived for the interpretation and reduction of the response models. The method is demonstrated on a small data set, previously analyzed by Draper and Smith, using a number of multiple-regression techniques. © 1990.

引用

页码：59 / 67

页数：9

共 15 条

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