A Version of Quadratic Regression with Interpretable Parameters

Multivariate Behavioral Research
Robert Cudeck, Stephen H C du Toit

Abstract

The quadratic regression model is popular and effective in describing a wide variety of data, but it is based on a function whose parameters are not easy to interpret. We suggest an alternative form of the quadratic model that has the same expectation function, but also has the useful feature that its parameters are interpretable. Examples are provided of a simple regression problem and also of a nonlinear mixed-effects model. The models can be estimated with available software.

Citations

Jan 1, 2012·Multivariate Behavioral Research·James P SeligTodd D Little
Oct 1, 2009·Structural Equation Modeling : a Multidisciplinary Journal·Kevin J Grimm, Nilam Ram
Aug 25, 2007·Annual Review of Clinical Psychology·Andrew J Tomarken, Niels G Waller
Sep 7, 2006·Annual Review of Psychology·Robert Cudeck, Jeffrey R Harring
Apr 24, 2014·Stress : the International Journal on the Biology of Stress·Nestor L Lopez-DuranJames L Abelson
Oct 27, 2017·Behavior Research Methods·Daniel McNeish, Tyler Matta
Dec 18, 2013·Psychometrika·Casey L Codd, Robert Cudeck
Nov 22, 2019·Multivariate Behavioral Research·Daniel McNeishKevin J Grimm
Aug 24, 2016·Annals of Behavioral Medicine : a Publication of the Society of Behavioral Medicine·Jennifer L WalshMichael P Carey
Aug 10, 2011·Child Development·Kevin J GrimmFumiaki Hamagami
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Mar 11, 2011·The Journals of Gerontology. Series B, Psychological Sciences and Social Sciences·Andrea M PiccininBoo Johansson
Dec 3, 2016·Multivariate Behavioral Research·Daniel McNeish, Denis Dumas
Aug 12, 2020·Behavior Research Methods·Jeffrey R HarringShelley A Blozis
May 7, 2021·Multivariate Behavioral Research·Daniel McNeish, Daniel J Bauer
Jul 31, 2021·The Journals of Gerontology. Series B, Psychological Sciences and Social Sciences·Annalise LaPlumeAngela K Troyer
Nov 13, 2021·New Directions for Child and Adolescent Development·Chloe L KaraskiewiczKaren L Bales

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