Doubly-Latent Models of School Contextual Effects: Integrating Multilevel and Structural Equation Approaches to Control Measurement and Sampling Error

Multivariate Behavioral Research
Herbert W MarshBenjamin Nagengast

Abstract

This article is a methodological-substantive synergy. Methodologically, we demonstrate latent-variable contextual models that integrate structural equation models (with multiple indicators) and multilevel models. These models simultaneously control for and unconfound measurement error due to sampling of items at the individual (L1) and group (L2) levels and sampling error due the sampling of persons in the aggregation of L1 characteristics to form L2 constructs. We consider a set of models that are latent or manifest in relation to sampling items (measurement error) and sampling of persons (sampling error) and discuss when different models might be most useful. We demonstrate the flexibility of these 4 core models by extending them to include random slopes, latent (single-level or cross-level) interactions, and latent quadratic effects. Substantively we use these models to test the big-fish-little-pond effect (BFLPE), showing that individual student levels of academic self-concept (L1-ASC) are positively associated with individual level achievement (L1-ACH) and negatively associated with school-average achievement (L2-ACH)-a finding with important policy implications for the way schools are structured. Extending tests of the BF...Continue Reading

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Citations

Oct 31, 2012·Psychosomatic Medicine·Nicholas D MyersCatherine Benedict
Apr 26, 2019·Multivariate Behavioral Research·Daniel McNeish
Feb 27, 2020·Child Development·Francesca MuntoniJan Retelsdorf
Apr 27, 2020·International Journal of Psychology : Journal International De Psychologie·Aileen EdeleSusanne Radmann
Feb 23, 2019·PloS One·Mikael G AhlborgJens M Nygren
Mar 12, 2011·The British Journal of Educational Psychology·Herbert W Marsh, Andrew J Martin
May 1, 2013·Multivariate Behavioral Research·Benjamin NagengastOliver Lüdtke
Feb 18, 2016·Multivariate Behavioral Research·Davood Tofighi, Ken Kelley
May 24, 2017·Journal of Abnormal Child Psychology·André PlamondonJennifer M Jenkins
Sep 7, 2018·Stress and Health : Journal of the International Society for the Investigation of Stress·Diana RaufelderAlexander Lätsch
Mar 14, 2014·Frontiers in Psychology·Karin Schermelleh-EngelAndreas G Klein
Nov 26, 2014·Prevention Science : the Official Journal of the Society for Prevention Research·Erin C DunnKarestan C Koenen
Jan 4, 2018·Journal of Interpersonal Violence·Julien S BureauGeneviève A Mageau
Apr 5, 2013·Child Development·Alexandre J S MorinMichel Janosz
Apr 11, 2011·Multivariate Behavioral Research·Alexandre J S MorinBenjamin Nagengast
Mar 5, 2014·Proceedings of the National Academy of Sciences of the United States of America·Oliver ChristMiles Hewstone
Jan 18, 2014·Psychological Science·Katharina SchmidMiles Hewstone
Dec 31, 2015·Multivariate Behavioral Research·Steffen ZitzmannAlexander Robitzsch
Apr 19, 2018·The Journals of Gerontology. Series B, Psychological Sciences and Social Sciences·Agus SurachmanDavid Almeida
Aug 7, 2018·Frontiers in Psychology·Frances HoferichterDiana Raufelder
Jul 11, 2018·The British Journal of Educational Psychology·Lisa BardachChristiane Spiel
Dec 23, 2015·The British Journal of Educational Psychology·Julia HerrmannFranzis Preckel
Sep 14, 2018·Frontiers in Psychology·Junyan FangQiting Yuan
Feb 23, 2021·Frontiers in Psychology·Tamara MarksteinerOliver Dickhäuser
Jun 22, 2021·Frontiers in Psychology·Siwen GuoWilliam H Schmidt

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Software Mentioned

Mplus
BFLPE
GLLAMM
WinBUGS

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