The Effect of Different Forms of Centering in Hierarchical Linear Models

Multivariate Behavioral Research
I G KreftL S Aiken

Abstract

Multilevel models are becoming increasingly used in applied educational social and economic research for the analysis of hierarchically nested data. In these random coefficient regression models the parameters are allowed to differ over the groups in which the observations are nested. For computational ease in deriving parameter estimates, predictors are often centered around the mean. In nested or grouped data, the option of centering around the grand mean is extended with an option to center within groups or contexts. Both are statistically sound ways to improve parameter estimation. In this article we study the effects of these two different ways of centering, in comparison to the use of raw scores, on the parameter estimates in random coefficient models. The conclusion is that centering around the group mean amounts to fitting a different model from that obtained by centering around the grand mean or by using raw scores. The choice between the two options for centering can only be made on a theoretical basis. Based on this study, we conclude that centering rules valid for simple models, such as the fixed coefficients regression model. are no longer applicable to more complicated models, such as the random coefficient model....Continue Reading

Citations

Jun 19, 2008·Administration and Policy in Mental Health·Sonja K SchoenwaldAshli J Sheidow
Jan 24, 2014·Applied Psycholinguistics·Mary Grantham O'BrienChristine E Gardner
Sep 7, 2006·The Journal of Applied Psychology·Daniel J BealStephen G Green
Jan 6, 2005·Journal of Personality and Social Psychology·Daniel K Mroczek, Avron Spiro
Jul 14, 2005·Psychology of Addictive Behaviors : Journal of the Society of Psychologists in Addictive Behaviors·Mark MuravenJean A Paty
Sep 29, 2005·Psychology of Addictive Behaviors : Journal of the Society of Psychologists in Addictive Behaviors·Mark MuravenJean A Paty
Jun 10, 2005·Experimental and Clinical Psychopharmacology·Mark MuravenJean A Paty
Aug 20, 2003·Psychological Methods·David A KennyNiall Bolger
Apr 1, 2004·Psychological Methods·Jeremy C BiesanzPatrick J Curran
Apr 2, 2008·Multivariate Behavioral Research·Daniel J BauerDenise Dion Hallfors
Jan 1, 2013·Multivariate Behavioral Research·John J McArdleSteven M Boker
Nov 26, 2013·Journal of Statistical Computation and Simulation·Guangxiang Zhang, John J Chen
Feb 26, 2010·Psychotherapy Research : Journal of the Society for Psychotherapy Research·Robert Gallop, Giorgio A Tasca
Jan 9, 2009·Journal of Clinical Child and Adolescent Psychology : the Official Journal for the Society of Clinical Child and Adolescent Psychology, American Psychological Association, Division 53·Sonja K SchoenwaldRickey E Carter
Nov 23, 2007·Psychological Science·Julia DmitrievaJay Belsky
Jul 8, 2000·Annual Review of Public Health·A V Diez-Roux
Sep 25, 2012·Acta Veterinaria Scandinavica·Mogens A Krogh, Carsten Enevoldsen
Aug 14, 2012·IRAL, International Review of Applied Linguistics in Language Teaching : Revue Internationale De Linguistique Appliquée Enseignement Des Langues. Internationale Zeitschrift Für Angewandte Linguistik in Der Spracherziehung·Carrie N Jackson, Janet G van Hell
Jul 7, 2009·Annual Review of Psychology·Patrick J Curran, Daniel J Bauer
Sep 4, 2010·The Journal of Asthma : Official Journal of the Association for the Care of Asthma·Judith FifieldJoan Twiggs
Feb 18, 2016·Multivariate Behavioral Research·Davood Tofighi, Ken Kelley
Jan 26, 2013·The American Naturalist·Christophe PélabonGunilla Rosenqvist
Dec 15, 2010·Psychology, Health & Medicine·Ahnalee M BrincksVictoria B Mitrani
Feb 16, 2008·Journal of Sleep Research·Christina S McCraeJason G Craggs
Mar 24, 2016·Journal of Abnormal Child Psychology·Tyler ColasanteTina Malti
Apr 23, 2014·Prevention Science : the Official Journal of the Society for Prevention Research·Rick H Hoyle, Nisha C Gottfredson
Aug 8, 2015·Cyberpsychology, Behavior and Social Networking·Erin K Ruppel, Christopher J McKinley
Nov 27, 2015·Multivariate Behavioral Research·Joran JongerlingEllen L Hamaker
Nov 28, 2014·The Journals of Gerontology. Series B, Psychological Sciences and Social Sciences·Christina S McCraeMeredeth A Rowe
Feb 18, 2015·Frontiers in Psychology·Ellen L Hamaker, Raoul P P P Grasman
Nov 7, 2012·BMC Emergency Medicine·Zeynal KaracaRyan L Mutter
Oct 18, 2015·Administration and Policy in Mental Health·Nathaniel J Williams
May 15, 2015·Journal of Personality·Yu Liu, Stephen G West
Dec 8, 2016·Multivariate Behavioral Research·Ahnalee M BrincksDaniel J Feaster
Jul 29, 2011·Multivariate Behavioral Research·Kristopher J Preacher
Jun 18, 2012·Multivariate Behavioral Research·Spyros Konstantopoulos
Apr 1, 2001·Multivariate Behavioral Research·J L Krull, D P MacKinnon
Jan 26, 2006·Journal of Health and Social Behavior·Lisa Strohschein
Apr 1, 2010·Social Psychological and Personality Science·D Vaughn BeckerDouglas T Kenrick
May 22, 2009·Personality & Social Psychology Bulletin·Deborah A KashyDaniel W Russell

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.