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2016 | OriginalPaper | Chapter

10. Latent Variable Models

Authors : A. Alexander Beaujean, Grant B. Morgan

Published in: Modern Statistical Methods for HCI

Publisher: Springer International Publishing

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Abstract

Human-computer interaction research increasingly involves investigating psychological phenomena as latent variables. In this chapter, we discuss basic latent variable models using a path model approach. In addition, we given some examples of conducting a latent variable model analysis using the lavaan package in the R statistical programming language.

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Footnotes
1
Those interested in a matrix-based approach should see Bollen’s (1989) classic text.
 
2
We assume that the LV is reflective (i.e., causes the MVs to covary). An alternative would be to have a formative LV, which are thought to result from the MVs’ covariation. For more information on formative LVs, see Bollen and Bauldry (2011).
 
3
For a more thorough explanation of the degrees of freedom concept, see Walker (1940).
 
4
For examples of fitting LV models in R using a package other than lavaan see Fox et al. (2012).
 
Literature
go back to reference Antonakis J, Bendahan S, Jacquart P, Lalive R (2010) On making causal claims: a review and recommendations. Leadersh Quart 21:1086–1120 Antonakis J, Bendahan S, Jacquart P, Lalive R (2010) On making causal claims: a review and recommendations. Leadersh Quart 21:1086–1120
go back to reference Beaujean AA (2013) Factor analysis using R. Pract Assess Res Eval 18(4):1–11 Beaujean AA (2013) Factor analysis using R. Pract Assess Res Eval 18(4):1–11
go back to reference Beaujean AA (2014) Latent variable modeling using R: a step-by-step guide. Routledge, New York Beaujean AA (2014) Latent variable modeling using R: a step-by-step guide. Routledge, New York
go back to reference Boker SM, McArdle JJ, Neale M (2002) An algorithm for the hierarchical organization of path diagrams and calculation of components of expected covariance. Struct Equ Model Multi J 9:174–194MathSciNetCrossRef Boker SM, McArdle JJ, Neale M (2002) An algorithm for the hierarchical organization of path diagrams and calculation of components of expected covariance. Struct Equ Model Multi J 9:174–194MathSciNetCrossRef
go back to reference Bollen KA (2002) Latent variables in psychology and the social sciences. Annu Rev Psychol 53:605–634CrossRef Bollen KA (2002) Latent variables in psychology and the social sciences. Annu Rev Psychol 53:605–634CrossRef
go back to reference Bollen KA, Bauldry S (2011) Three Cs in measurement models: causal indicators, composite indicators, and covariates. Psychol Methods 16:265–284CrossRef Bollen KA, Bauldry S (2011) Three Cs in measurement models: causal indicators, composite indicators, and covariates. Psychol Methods 16:265–284CrossRef
go back to reference Bollen KA, Pearl J (2013) Eight myths about causality and structural equation models. Springer, Dordrecht, pp 302–328 Bollen KA, Pearl J (2013) Eight myths about causality and structural equation models. Springer, Dordrecht, pp 302–328
go back to reference Fox J, Byrnes JE, Boker SM, Neale MC (2012) Structural equation modeling in R with the sem and OpenMx packages. Guilford, New York, pp 325–340 Fox J, Byrnes JE, Boker SM, Neale MC (2012) Structural equation modeling in R with the sem and OpenMx packages. Guilford, New York, pp 325–340
go back to reference Hancock GR, Mueller RO (2011) The reliability paradox in assessing structural relations within covariance structure models. Educ Psychol Measur 71:306–324CrossRef Hancock GR, Mueller RO (2011) The reliability paradox in assessing structural relations within covariance structure models. Educ Psychol Measur 71:306–324CrossRef
go back to reference Haythornthwaite C, Wellman B (1998) Work, friendship, and media use for information exchange in a networked organization. J Amer Soc Inf Sci 49(12):1101–1114CrossRef Haythornthwaite C, Wellman B (1998) Work, friendship, and media use for information exchange in a networked organization. J Amer Soc Inf Sci 49(12):1101–1114CrossRef
go back to reference Kenny DA, Milan S (2012) Identification: a nontechnical discussion of a technical issue. Guilford, New York Kenny DA, Milan S (2012) Identification: a nontechnical discussion of a technical issue. Guilford, New York
go back to reference Kline RB (2011) Principles and practice of structural equation modeling, 2 edn. The Guilford Press, New York Kline RB (2011) Principles and practice of structural equation modeling, 2 edn. The Guilford Press, New York
go back to reference Maloney-Krichmar D, Preece J (2005) A multilevel analysis of sociability, usability, and community dynamics in an online health community. ACM Trans Comput Hum Interact (TOCHI) 12(2):201–232CrossRef Maloney-Krichmar D, Preece J (2005) A multilevel analysis of sociability, usability, and community dynamics in an online health community. ACM Trans Comput Hum Interact (TOCHI) 12(2):201–232CrossRef
go back to reference Nam CS, Bahn S, Lee R (2013) Acceptance of assistive technology by special education teachers: a structural equation model approach. Int J Hum Comput Interact 29:365–377CrossRef Nam CS, Bahn S, Lee R (2013) Acceptance of assistive technology by special education teachers: a structural equation model approach. Int J Hum Comput Interact 29:365–377CrossRef
go back to reference Nehring WM, Lashley FR (2009) Nursing simulation: a review of the past 40 years. Simul Gaming 40:528–552CrossRef Nehring WM, Lashley FR (2009) Nursing simulation: a review of the past 40 years. Simul Gaming 40:528–552CrossRef
go back to reference Norris AE, Weger H, Bullinger C, Bowers A (2014) Quantifying engagement: measuring player involvement in human-avatar interactions. Comput Hum Behav 34:1–11 Norris AE, Weger H, Bullinger C, Bowers A (2014) Quantifying engagement: measuring player involvement in human-avatar interactions. Comput Hum Behav 34:1–11
go back to reference Ployhart RE, Oswald FL (2004) Applications of mean and covariance structure analysis: integrating correlational and experimental approaches. Organ Res Methods 7:27–65CrossRef Ployhart RE, Oswald FL (2004) Applications of mean and covariance structure analysis: integrating correlational and experimental approaches. Organ Res Methods 7:27–65CrossRef
go back to reference Potosky D, Bobko P (1998) The computer understanding and experience scale: a self-report measure of computer experience. Comput Hum Behav 14:337–348CrossRef Potosky D, Bobko P (1998) The computer understanding and experience scale: a self-report measure of computer experience. Comput Hum Behav 14:337–348CrossRef
go back to reference R Development Core Team (2014) R: a language and environment for statistical computing R Development Core Team (2014) R: a language and environment for statistical computing
go back to reference Robinson WT, Min S (2002) Is the first to market the first to fail? Empirical evidence for industrial goods businesses. J Market Res 39(1):120–128CrossRef Robinson WT, Min S (2002) Is the first to market the first to fail? Empirical evidence for industrial goods businesses. J Market Res 39(1):120–128CrossRef
go back to reference Rosseel Y (2012) lavaan: an R package for structural equation modeling. J Statist Softw 48(2):1–36CrossRef Rosseel Y (2012) lavaan: an R package for structural equation modeling. J Statist Softw 48(2):1–36CrossRef
go back to reference Schmidt LL, Amick BC III, Katz JN, Ellis BB (2002) Evaluation of an upper extremity student-role functioning scale using item response theory. Work: J Prev Assess Rehabil 19:105–116 Schmidt LL, Amick BC III, Katz JN, Ellis BB (2002) Evaluation of an upper extremity student-role functioning scale using item response theory. Work: J Prev Assess Rehabil 19:105–116
go back to reference Schulenberg SE, Melton AM (2007) Confirmatory factor analysis of the computer understanding and experience scale. Psychol Rep 100:1263–1269 Schulenberg SE, Melton AM (2007) Confirmatory factor analysis of the computer understanding and experience scale. Psychol Rep 100:1263–1269
go back to reference van Schaik P, Ling J (2003) Using on-line surveys to measure three key constructs of the quality of human-computer interaction in web sites: psychometric properties and implications. Int J Hum Comput Stud 59:545–567CrossRef van Schaik P, Ling J (2003) Using on-line surveys to measure three key constructs of the quality of human-computer interaction in web sites: psychometric properties and implications. Int J Hum Comput Stud 59:545–567CrossRef
go back to reference West SG, Taylor AB, Wu W (2012) Model fit and model selection in structural equation modeling. Guilford, New York, pp 209–231 West SG, Taylor AB, Wu W (2012) Model fit and model selection in structural equation modeling. Guilford, New York, pp 209–231
go back to reference Wright S (1934) The method of path coefficients. Ann Math Statist 5:161–215 Wright S (1934) The method of path coefficients. Ann Math Statist 5:161–215
Metadata
Title
Latent Variable Models
Authors
A. Alexander Beaujean
Grant B. Morgan
Copyright Year
2016
DOI
https://doi.org/10.1007/978-3-319-26633-6_10