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  Visualizing confidence bands for semiparametrically estimated nonlinear relations among latent variables

Pek, J., Chalmers, R. P., Kok, B. E., & Losardo, D. (2015). Visualizing confidence bands for semiparametrically estimated nonlinear relations among latent variables. Journal of Educational and Behavioral Statistics, 40(4), 402-423. doi:10.3102/1076998615589129.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-780B-F Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002B-CE82-7
Genre: Journal Article

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 Creators:
Pek, Jolynn1, Author
Chalmers, R. Philip1, Author
Kok, Bethany E.2, Author              
Losardo, Diane3, Author
Affiliations:
1University of York, United Kingdom, ou_persistent22              
2Department Social Neuroscience, MPI for Human Cognitive and Brain Sciences, Max Planck Society, ou_634552              
3Amplify Education, ou_persistent22              

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Free keywords: Exploratory; Latent variables; Point-wise confidence intervals; Simultaneous confidence envelopes; Structural equation mixture model
 Abstract: Structural equation mixture models (SEMMs), when applied as a semiparametric model (SPM), can adequately recover potentially nonlinear latent relationships without their specification. This SPM is useful for exploratory analysis when the form of the latent regression is unknown. The purpose of this article is to help users familiar with structural equation models to add SEMM to their toolkit of exploratory analytic options. We describe how the SEMM captures potential nonlinearity between latent variables, and how confidence bands (CBs; point wise and simultaneous) for the recovered latent function are constructed and interpreted. We then illustrate the usefulness of CBs for inference with an empirical example on the effect of emotions on cognitive processing. We also introduce a visualization tool that automatically generates plots of the latent regression and their CBs to promote user accessibility. Finally, we conclude with a discussion on the use of this SPM for exploratory research.

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Language(s): eng - English
 Dates: 2014-07-122015-05-242015-06-162015-08
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: DOI: 10.3102/1076998615589129
 Degree: -

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Title: Journal of Educational and Behavioral Statistics
Source Genre: Journal
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Publ. Info: Thousand Oaks, CA, USA : Sage
Pages: - Volume / Issue: 40 (4) Sequence Number: - Start / End Page: 402 - 423 Identifier: ISSN: 1076-9986
CoNE: /journals/resource/1076-9986