Partial one-dimensional regression models

R. Dennis Cook, Sanford Weisberg

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


Many regression problems have one grouping variable or factor and several covariates, and the goal of the problem is to understand differences in the regressions between levels of the grouping variable. Standard approaches to this require fitting main effects and grouping variable by covariate interactions, potentially leading to complex models if the number of covariates is greater than one. Using the ideas of the dimension of a regression problem, and dimension reduction, we describe the use of one-dimensional models fit separately to each level of the grouping variable. These models are less general than the interaction models usually studied, but they can lead to very simple results and can also lead to simple and useful summary graphs.

Original languageEnglish (US)
Pages (from-to)110-116
Number of pages7
JournalAmerican Statistician
Issue number2
StatePublished - May 2004

Bibliographical note

Funding Information:
R. Dnnis eCook is Profser,sandoSanford Weeig sisrPbrofessor, School of Statistics, Universityof Minnesta,oSt. Pul, MaN55108-6042(E-mil: snday@astat. Supported by National Science Foundation Gnt DMSra0103983.

Copyright 2017 Elsevier B.V., All rights reserved.


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