Modelagem de Equações Estruturais

 

COURSE: Structural Equation Modeling – variance (SmartPLS) and covariance based (lavaan)

PROFESSOR: Prof. Dr. Diógenes de Souza Bido

SEMESTER: 2º/2018

DATE: Sept/21: 1 p.m. to 5 p.m., [break 5 p.m. to 6 p. m.], 6 p.m. to 10 p.m.

           Sept/28: 1 p.m. to 5 p.m., [break 5 p.m. to 6 p. m.], 6 p.m. to 10 p.m.

           Oct/19: 1 p.m. to 5 p.m., [break 5 p.m. to 6 p. m.], 6 p.m. to 10 p.m.

           Oct/26: 1 p.m. to 5 p.m., [break 5 p.m. to 6 p. m.], 6 p.m. to 10 p.m.

 

 

Contents:

Structural Equation Modeling – variance based (SmartPLS):

  • Measurement model assessment: convergent and discriminant validity, and reliability.
  • Full model (path analysis with latent variables): importance-performance map analysis, multicollinearity, 2nd order latent variable, sample size definition, control variables, common method bias, moderation and Multigroup analysis.

Structural Equation Modeling – covariance based (lavaan – R package):

  • Confirmatory factor analysis
  • Full model (hypothesis testing)

 

Purpose:

The purpose of the course is to enable participants to: (i) Identify the situations in which PLS-SEM is the most recommended method; (ii) Recognize the differences between variance-based and covariance-based structural equation modeling; (iii) Use SmartPLS and lavaan in their research; (iv) Evaluate the measurement and the structural model; (v) Raise awareness of the need for rigor in their analyses.

 

Assessment:

Final grade = (HW1 + HW2)/2

Approval if:  Final grade equal or greater than 6.0

                                                                                                                         

Delivery by e-mail (diogenesbido@yahoo.com.br):

HW1 = October 15th

HW2 = November 5th   

 

Expected students' profile:  MSc and PhD students, professors and researchers.

 

  • Students must have completed and passed courses in quantitative methods or data analysis (in their master or Ph.D. course), whose contents include:

          - hypothesis test and statistical significance

          - correlation and linear regression

          - exploratory factor analysis

 

Language:  The course will be taught in Portuguese.

 

  • number of students: 40

 

Computer Lab:

  • It is recommended that students bring their notebook (with R, R Studio, G*Power 3, and SmartPLS installed. The instructions will be send before the course beginning)

 

 

Suggestion for students, who want to buy books, to facilitate the study:

 

HAIR JR., J. F.; HULT, G. T. M.; RINGLE, C. M.; SARSTEDT, M. A Primer on Partial Least Squares Structural Equation Modeling (PLS-SEM). 2nd Ed.. Thousand Oaks, CA: Sage Publications, Inc., 2016.

 

HAIR JR., J. F.; SARSTEDT, M.; RINGLE, C. M.; GUDERGAN, S.P. Advanced Issues in Partial Least Squares Structural Equation Modeling. Thousand Oaks, CA: Sage Publications, Inc., 2017. [may/2017]

 

GARSON, G. D. (2016). Partial Least Squares: Regression and Structural Equation Models. Asheboro, NC: Statistical Associates Publishers. Available at (free) em: <http://info.smartpls.com/data/uploads/ebook_on_pls-sem.pdf>.

 

BEAUJEAN, A.A.; Latent Variable Modeling Using R: a step-by-step guide. New York: Routledge, 2014.

 

 

 

Syllabus:

Day

Content

Bibliographical references

september/21st

 

Exploratory and confirmatory analysis (Theory and Data)

Structural and measurement model

How to use SmartPLS: data, project, files

Understanding the PLS algorithm:

- Linear regression: betas, R² e bootstrap

- Path analysis with observed variables: indirect, direct and total effects

- Reflective latent variable and principal components.

Software SmartPLS

Software SPSS or Minitab or R (Rcmdr package)

 

Streiner (2005) and

 

Henseler et al. (2009, p.277-291).  or

Mackenzie et al. (2009)

september/21st

 

Measurement model assessment: reflective

- convergent and discriminant validity, and reliability

- How to report the results

 

Emergent variables or Formative latent variables

- Convergent validity

- Confirmatory Tedrad Analysis

- Formative variable in exogenous and endogenous position

 

Bido et al. (2016)

 

Gefen & Straub (2005)

 

Gudergan et al. (2008) or

Ross (2014)

september/28th 

 

Full model – path analysis with latent variables in SmartPLS

- Importance-performance map analysis

- Multicollinearity in the structural model

- 2nd order latent variable

- sample size and statistical power with G*Power 3

- How to report the results

Video IPMA

 

Wetzels et al. (2009) or

Becker et al. (2012) or

Wilson et al. (2007)

 

Software G*Power 3 &

Manual or Faul et al. (2007)

 

september/28th 

 

Moderation (multiplicative term)

Multigroup analysis: observed heterogeneity (a priori)

FIMIX: non-observed heterogeneity  

 

HW1: (i) multicollinearity + 2nd order LV; (ii) importance-performance map analysis

- Estimate the full model, adjust the measurement model and report and explain the results.

 

Video MGA

Henseler (2012) e

Henseler et al. (2016)

october/5th 

october/12th

EnANPAD

Holiday

 

october/19th 

 

SmartPLS x lavaan:

- Latent variable scores and their uses

- Attenuation (consistency at large)

- Sample size and statistical power with G*Power 3

 

Software R, R packages, install packages, load packages

 

lavaan (Latent Variable Analysis)

path analysis from covariance matrix and from raw data (dataset)

confirmatory factor analysis and restrictions on parameters

 

Software R and lavaan package

 

Rosseel (2015, p.1-8) e

materials from lavaan_site or Hair Jr. et al. (2010, p.600-638)

 

Videos: https://goo.gl/Q7zmyR

october/19th 

Reflective: convergent, discriminant validity and reliability

 

Formative indicators in lavaan

Identification and degree of freedom

Modification indices

Rosseel (2015, p.9-15) e

materials from lavaan_site

 

Soper (2017)

 

Videos: https://goo.gl/Q7zmyR

 

october/26th 

 

Exercices: Kuhnel and Beaujean models

Generate the path diagram

Goodness of fit indices

Defined command  :=     (indirect effect)

2nd order Latent variable

Estimation from ordinal data (WLSMV)

 

 

Videos: https://goo.gl/Q7zmyR

october/26th 

 

Exercise from published paper.

 

HW2: Search an article with a structural model and covariance matrix among indicators (caution: do not use the correlations between latent variables). Run the model from these data in lavaan. Report and explain the results.

 

 

Videos: https://goo.gl/Q7zmyR

 

[21/09/2018]

Software SmartPLS available at:

 

Software R available at: <https://www.r-project.org/>.

 

Software G*Power 3 at: <http://www.gpower.hhu.de/>.

 

A-priori Sample Size Calculator for Structural Equation Models (online) at: <https://www.danielsoper.com/statcalc/calculator.aspx?id=89>

<http://www.quantpsy.org/rmsea/rmsea.htm>.

<http://timo.gnambs.at/en/scripts/powerforsem>.

 

STREINER, D.L. Finding our way: an introduction to path analysis. Canadian Journal of Psychiatry. v.50, n.2, p.115-122, 2005. [EBSCO]

HENSELER, J.; RINGLE, C. M.; SINKOVICS, R. R. The use of partial least squares path modeling in international marketing. Advances in International Marketing, Advances in International Marketing., v. 20, p. 277–319, 2009. available at: <http://is.gd/4EGtMc>.

MACKENZIE, S. B.; PODSAKOFF, P. M.; PODSAKOFF, N. P. Construct measurement and validation procedures in MIS and behavioral research: integrating new and existing techniques. MIS Quarterly, v. 35, n. 2, p. 293–334, 2011. available at: <http://is.gd/aeK8cl>.

 

BIDO, D.S. et al. Escalas como Ferramentas de Diagnóstico e Gestão: críticas ao uso da análise fatorial exploratória para a validação. [Relatório de pesquisa – CNPq], 2016.

GEFEN, D.; STRAUB, D. W. 2005. “A Practical Guide to Factorial Validity Using PLS-Graph: Tutorial and Annotated Example,” Communications of the Association for Information Systems, v.16, p. 91-109, 2005.

 

[28/09/2018]

GUDERGAN, S.; RINGLE, C.; WENDE, S.; WILL, A. Confirmatory tetrad analysis in PLS path modeling. Journal of Business Research, v. 61, n. 12, p. 1238–1249, 2008.

ROOS, J. M. The Vanishing Tetrad Test: Another test of model misspecification. Measurement: Interdisciplinary Research and Perspectives, v. 12, n. 3, p. 109–114, 2014.

 

Video “Importance-Performance Map Analysis (IPMA)”, disponível em: <https://www.smartpls.com/documentation/importance-performance-matrix>.

BECKER, J. M.; KLEIN, K.; WETZELS, M. Hierarchical Latent Variable Models in PLS-SEM: Guidelines for Using Reflective-Formative Type Models. Long Range Planning, v.45, n.5-6, p.359–394, 2012.

WETZELS, M.; ODEKERKEN-SCHRÖDER, G.; OPPEN, C. VAN. Using PLS path modeling for assessing hierarchical construct models: guidelines and empirical illustration. MIS Quarterly, v. 33, n. 1, p. 177–195, 2009.

WILSON, B.; HENSELER, J. Modeling reflective higher-order constructs using three approaches with PLS path modeling: a Monte Carlo comparison. Australian and New Zealand Marketing Academy (ANZMAC) Conference. Anais... p.791–800, 2007. Disponível em: <http://doc.utwente.nl/91758/1/BWilson_2.pdf>.

 

Software G*Power (free)  e  G*Power 3.1 manual. January 31, 2014. Disponíveis em: <http://www.gpower.hhu.de/>.

FAUL, F.; ERDFELDER, E.; LANG, A.-G.; BUCHNER, A. G*Power 3: a flexible statistical power analysis program for the social, behavioral, and biomedical sciences. Behavior Research Methods, v. 39, n. 2, p. 175–91, 2007.

 

CHIN, W. W.; THATCHER, J. B.; WRIGHT, R. T.; STEEL, D. Controling for common method variance in PLS analysis: the measured latent marker variable approach. In: ABDI, H.; CHIN, W. W.; VINZI, V. E.; RUSSOLILLO, G.; TRINCHERA, L. (Ed.). New Perspectives in Partial Least Squares and Related Methods. New York: Springer, 2013. p.231-239. 

HENSELER, J.; HUBONA, G.; RAY, P. A. Using PLS Path Modeling in New Technology Research : Updated Guidelines Using PLS Path Modeling in New Technology Research : Updated Guidelines. Industrial Management & Data Systems, v. 116, p. 2–20, 2016.

ONÇA. S.S.; BIDO, D.S.; GODOY, A.S. Impacto da potência de equipes de trabalho e dos conflitos intragrupais na aprendizagem grupal. In: Encontro da ANPAD, XXXVIII, 2014, Rio de Janeiro. Anais... Rio de Janeiro: ANPAD, 2014, p.1-16.

 

Video: “PLS Multigroup Analysis” available at: <https://www.smartpls.com/documentation/pls-multigroup-analysis>.

HENSELER, J. PLS-MGA: A Non-Parametric Approach to Partial Least Squares-based Multi-Group Analysis. In: W. Gaul et al. (eds.), Challenges at the Interface of Data Analysis, Computer Science, and Optimization, Studies in Classification, Data Analysis, and Knowledge Organization, DOI 10.1007/978-3-642-24466-7 50, © Springer-Verlag Berlin Heidelberg, 2012. available at: <http://is.gd/AQRBth>.

HENSELER, J.; RINGLE, C. M.; SARSTEDT, M. Testing Measurement Invariance of Composites Using Partial Least Squares. International Marketing Review, forthcoming. 2016. available at: <http://info.smartpls.com/data/uploads/micom.pdf>.

 

 

[19/10/2018 e 26/10/2018]

ROSSEEL, Y. The lavaan tutorial. Belgium: Ghent University, Department of Data Analysis, 2015. available at: <http://lavaan.ugent.be/tutorial/tutorial.pdf>. 

lavaan website:  <http://lavaan.ugent.be/resources/teaching.html>

HAIR Jr., J.F.; BLACK, W.C.; BABIN, B.J.; ANDERSON, R.E. Multivariate Data Analysis, 7/e. Harlow: Pearson Prentice Hall, 2010. [Chapter 13 (p.600-638): Confirmatory Factor Analysis].

 

SOPER, D. S. A-priori Sample Size Calculator for Structural Equation Models [Software]. , 2017. Disponível em: <http://www.danielsoper.com/statcalc>. .

 

What to report?

GEFEN, D.; RIGDON, E. E.; STRAUB, D. An update and extension to SEM guidelines for administrative and social science research. MIS Quarterly, v.35, n.2, p.iii-xiv, 2011