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Course Syllabus Amiram D. Vinokur
fn: sem_Helsinki2012.doc University of Helsinki June 11-13, 2012
Building and Testing Structural Equation Models (SEM)
In the Social Sciences
Course Description:
Since the early 80's, Structural Equation Modeling (SEM) analyses, first using LISREL
and later using EQS, AMOS and MPLUS user-friendly software packages, have gained
prominence as they replaced the older traditional analytic methods of factor analysis and path
analysis. SEM merges confirmatory factor analysis with path analysis and provides means for
constructing, testing, and comparing comprehensive structural path models as well as comparing
the goodness of fit of models and their adequacy across multiple groups (samples). Among themany advantages of SEM over the traditional path analysis is that it provides adjustment for the
relative unreliability of the observed measures, overall goodness of fit measures and tests for
comparing models. Without adjustment for reliability, results from traditional path analysis
confound the substantive contribution of predictors with their relative methodological strength as
indicated by their reliabilities. This confounding may lead to seriously flawed conclusions in the
interpretation of the results.
This course will cover the conceptual and technical issues relevant to the application of
Structural Equation Modeling (SEM). Following the presentation of major conceptual issues, five
basic structural models will be described in detail. The models vary from simple to more complex
ones. They also cover wide range of situations including longitudinal and mediation analyses,comparisons between groups, and analyses that include data from different sources such as from
parents, teachers, supervisors, and co-workers. The description and discussion of the models will
provide students with the knowledge to apply SEM techniques for analyzing, evaluating and
reporting results produced by this analytic method. This knowledge is necessary to apply SEM
using any of the major SEM software packages.
Prerequisites: One or more courses in statistics that included in-depth treatment of linear
regression analysis, basic knowledge of the concepts of item analysis and internal reliability.
Goals of the Course:
The goal of this course is to provide students with basic knowledge of how to construct,analyze, modify, and test a variety of structural equation models and report the results of their
analyses in a manner acceptable in refereed journals.
The Course will be Conducted as a Lecture with powerPoint slides and with discussions.
Class Schedule: June 11 - 13: 9am to 12noon, Lunch break, 1pm to 4pm.
With the exception of textbooks, all of the resources for the class, including this syllabus, required
and suggested readings, all figures, and input/output models to be shown as PowerPoint displays
during class presentations, will be available to the students on the course workplace site at the
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University of Michigan Ctools (https://ctools.umich.edu). Once you log in click on Resources
(under LSA box on the left, under Announcements) and you will see the various subdirectories of
the resources. Note, about 10 days before the class, you will received an email from me with
information how to access the Michigan Ctools site for the course. You will also receive as
attachment to the email the file with the powerpoint slides for the class.
I. Course Outline (Overview of the Topics)
Note. Enclosed in pointed parentheses are the powerpoint slides as indexed in the Table of
content in the powerpoint file in CTOOLS website. The file name is: Sem_pp2012a.ppt
During the lectures I will present and discuss all the major principles, topics and issues
involved in the application of SEM to construct, test, evaluate and report path, measurement andstructural models. Most of the issues and principles will be presented and discussed with the
presentation of a core set of five models. The models are listed below with their unique
characteristics, and the slide number to the figure in Sem_pp2012a that represents each one.
Model A: A model with one indicator per factor. Work-Family Conflict model (Model A
{PP8}).
Model B: A model with several indicators per factor, and with additional background variables
as controls. Children's Adjustment model (Model B: {PP10}).
Model C: A model that includes two groups to allow comparisons between the groups. Job-
Search Intention model (Model C; {PP14a}).
Model D: A model based on longitudinal design of data collection with a variable thatrepresents an experimental manipulation (intervention) and its mediation effects.
JOBS II mediation Model (Model D: {PP15a}).
Model E: A model based on longitudinal design and data collected from different sources (e.g.,
husbands and wives). The Couples' Stress and Coping Model (Model E: {PP17b}).
Other types of models will also be presented and discussed including path analysis models,
measurement models, and models with reciprocal causation.
1. What is Structural Equation Modeling (SEM)?
a. Brief History of the roots of SEM
b. Basics of regression {PP1a, PP1b} and factor analysis and therelationship of SEM to Path analysis and factor analysis {PP1c}
c. The main advantages of SEM over path and factor analyses and traditional ANOVA
and what can SEM be used for:
1. Adjustment for unreliability of the indices {PP2a, PP2b, PP2c}
(see Bedeian et al., 1997)
2. Improved ability to handle multi-colinearity (compared with OLS regressions
{PP3} (see for example Marshal and Lang, 1990).
3. Availability of overall goodness of fit measures for the entire model.
4. Jointly performs confirmatory factor AND structural analysis.
5. Comparisons of models and specific paths across several groups.
6. Modeling various types of factors (formative and reflective factors).
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7. Conducting sensitivity analyses and various simulation analyses.
8. Analysis of experiments/interventions that include mediator variables, that is,
analysis of the mediation process.
9. Using the results of meta-analyses as input to test SEM models.
d. Basic assumptions regarding scaling, distributions, errors and causal interpretations.
e. Choosing SEM Software: EQS, LISREL and AMOS (see Kline ch.4.6 pp. 77-85 on
Similarities and differences).
(For general reviews see Hoyle and Smith (1994) or Klem (2000). The article by
Klem also includes all the terminologies and symbols used by LISREL users.)
2. Basic concepts and notations
For a - e: {PP4a} (See Byrne, 1994, pp 3-12)
a. Observable (measured) one item variable, or, index (based on several observed
variables)
b. Observables as indicators (outcomes) of a latent factor and their factor loadings- The need to establish internal reliability (alpha)
c. Observables as determinants of a latent factor
d. Errors of observables and residuals as errors of latent endogenous factors
e. Relationships among latent factors, among errors and residuals
For f-g: {PP4b}
f. The measurement model and the structural model
g. Exogenous and endogenous variables and latent factors
h. Deduced (reflective) vs. induced (formative) latent Factors
{PP5a, PP5b, PP5c} (see Edwards and Bagozzi, 2000).
3. Basic Concepts: the data, the estimates (model parameters)
a. The empirical obtained correlations (S-matrix), the model implied ones (in - matrix),
and the fit of the model to the data (based on the difference between the S and
matrix). {PP5d}
b. Degrees of freedom, equations and identification. {PP6a}
c. Identification by fixing factor variance to 1 vs. fixing one of the loadings to 1.
{PP6b, PP6c, PP6d}.
4. The required input for SEM analysis using EQS
a. Raw data. Raw data can be in the form of SPSS file that can be opened by EQS.b. Matrix of covariances (listwise and/or pairwise matrix)
c. Matrix of correlations with means and standard deviation in the bottom two rows.
5. Types of models and their specification in a diagram
a. Simple path model: {PP7a}
b. Latent structural model with one indicator per factor: {PP7b}
c. Latent structural model with multiple indicators per factor: {PP7c}
d. Non-recursive longitudinal model with reciprocal causal influence: {PP7d}
e. Second order factor structure {PP7e}
f. Structural model with exogenous, endogenous factors and observed variables {PP7i}
Reading for outline sections 2-5: Ch. 5, pp. 91-122.
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6. Illustrating the basic elements of the EQS input setup using Baggozzis model {PP7i}
a. /Title /Specifications /Labels /Equations /Variance /Covariance
/Matrix /Constraints /Print [Fit=all;] /Wtest /LMtest, /Endb. Some basic rules of syntax: the !!! the estimate * , dependent variable to the
left, starting values, fixed values, unlisted covariances are fixed to = 0.
(Information on these and other important options see the EQS manuals by Bentler, 1995
pp. 43-82, and the User Guide by Bentler and Wu ,2002, pp.238-267).
7. Illustrating the basic elements of the EQS output using Bagozzis Model {printout of
Baggozzi_P.rtf can downloaded from the website section on models}
8. Testing the measurement model of Bagozzis structural model that is shown in slide
PP7i.
9. Illustrating the input setup on the Work-Family Conflict model (Model A {PP8})
(a single indicator model as in PP7b). How the relative reliabilities of the measures are
adjusted with one measured variable (that is, with one empirical indicator).
10. Continued: One indicator per factor model: Illustrating the output of the model using
the output of the Work-Family Model. This will include the Basic elements of the
EQS output (Empirical and estimated covariance matrix, residual matrix, RMR, measures
of goodness of fit, measure of misfit, non standardized and standardized parameters, the
measurement and structural equations, the program's output with suggestions for
modification of the model to obtain better fit, and more). (For another example see Froneet al., 1992; another important justification for a one indicator to factor model is Liang et
al., 1990).
11. Model evaluation using chi-square, goodness-of-fit and misfit indices {PP8a, PP9}. The
Chi-square/df, NFI, NNFI (Tucker Lewis Index, TLI), CFI, RMSEA, AIC, CAIC. (see
Byrne, 1994, pp 53-58; Kline, Ch. 8, pp 189-214).
12. Conventional model: Illustrating the input and output of the Children's Adjustment
model (Model B: {PP10}). (cross-sectional model with multiple indicators). New
elements: (a) How to model latent variables with several observed indicators for each
latent factor, and (b), how to include demographics and other background variables as part
of the model. (This model is described in the article by Pierce et al., 1998).
We will also cover here the following additional topics:
(a) how many indicators to model for each latent factor (see Marsh et al., 1998),
(b) the rationale for indices prepared as parcels (groups) of items {PP11a, PP11b},
(c) how to handle scales with different number of scale points {PP11c}.
13. Basic rules of measurement and structural model identification {PP11d, PP11e, PP11f,
PP11g, PP11h}. Reading: Kline, Chapter 6, pp. 125-149.
14. Nested (hierarchical) and non-nested (non-hierarchical) models {PP12a, PP12b) and
how to test the difference between nested models {PP12c, PP12d}. Reading: Kline,
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Chapter 8, pp. 214-222.
15. Reviewing the stages in constructing and testing a SEM model {PP13}. Reading: Kline,
Chapter 5, pp. 91-95.
16. Longitudinal panel model: Illustrating the input and output of the JOBS II mediationModel (Model D: {PP15a, PP15b, PP15c) New elements: (a) How you model effects of
an experiment and its mediation effects {PP14c}, and (b), how to build a model that
involves an intervention and longitudinal design of the follow-up assessments. (This
model is described in the article by Vinokur and Schul, 1997).
17. Estimating direct, indirect and total effects {PP16a, PP16b}. Reading: Kline, Chapter 7,
pp. 164-169; and analyzing mediation effects {PP16b1 to PP16b5}.
18. Modeling direct and mediating effects of an experiment using longitudinal design
(Russell et al., 1998 {PP16c, d, e, and ee}.
19. Group comparison model: Illustrating the input and output of the Job-SearchIntention Model (Model C; {PP14a, PP14b). New elements: (a) how to impose
constraints to test equality of loading, exogenous variances and paths, and (b), how to
compare the model across groups (e.g., is a model for males same or different than the
model for the females). Imposing between group constraints (testing equality of factor
structures, and of paths).
20. How to model interactions (moderation effects)? {Wolchik et al., 1993 {PP16f} and
Marsh et al., 2004).
21. Multiple sources model: Illustrating the input and output of the Couples' Stress and
Coping Model (Model E: {PP17a, PP17b, PP17c}). New elements: How to build a
model with data from different sources (e.g., husbands and wives). Model E is the mostcomplex model with multiple indicators, longitudinal design and data from different
sources. (This model is described in the article by Vinokur, Price and Caplan., 1996).
22. Equivalent models and the issue of causal interpretation. {PP18a, PP18b, PP18c,
PP18d}. (For a comprehensive article see MacCallum et al, 1993). Reading: Kline,
Chapter 9, pp. 224-228.
23. How to describe your model in a publication and what to report on?
Based on two examples from the articles by Vinokur & Schul, (2002) , {PP19a, PP19b}
and by Westman et al., (2005).{PP20a, PP20b, PP20c}
24. How to model (and control for) common factor variance in cross-sectional design
with measures from the same respondent. Based on the article by Vinokur-Kaplan,
1995. {PP21a}, Also see Lindell & Whitney, 2001 and Williams & Anderson, 1994.
25. Multi-trait Multi-method models and the correlated uniqueness model {PP21b,
PP21c, PP21d (See Bagozzi, 1993; Kline, Chapter 9, pp 250-252). Also see Tomas &
Oliver, 1999 {PP21e, PP21f}.
26. Special Topics:
(a) How to model change in longitudinal panel design {PP22a, PP22b}.
Also an example from Price, Choi, Vinokur (2002) {P22c} also see Kessler and
Greenberg (1981, pp 77-82), and Maassen & Bakker, 2001, pp 256 264.
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(b) Confirmatory analysis: Do we need two factors or one would suffice?
(E.g., Are social support and social undermining opposites of the same underlying
latent factor? Is sense of mastery and optimism the same construct? (Marshal & Lang,
1990{PP3, and PP12}). Or, for those who lose a loved one, is grief and depression the
same psychological experience? (Vinokur, et al. (under review, 2002) {PP12cc}.
(c) Confirmatory analysis: Is a given construct unidimensional? {PP24})(see Rubio et al, 2001).
(d) Dealing with and interpreting correlations among errors and disturbances.
(e) How to handle badly skewed variables, missing data, outliers, and categorical
variables. (Kline, Chapter 3, pp 51-64, and Chapter 7, pp. 176-182).
(f) How to deal with various error messages and nonconvergence. What to do when:
a.... geting a warning message that certain parameters are linearly dependent on others,
b.... when certain parameters were set to lowest or highest bound
c.... you need to improve the fit of the model (dropping or adding parameters, retesting)
(g) Suppressor variables in SEM models (see Maassen & Bakker, 2001); {PP22g,h, i,g}.
(h) Power analysis for SEM models {PP23a}. Also see: Kline, Chapter 12, pp. 222-225.
(i) Linear Growth Curve Modeling; {PP25a, PP25b, PP25c}
(j) How to fool yourself with SEM? (Kline, Chapter 13, pp. 356-366) and {PP26}
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II. Required, Highly Recommended Useful Readings1
Required reading2 Highly Recommended readings, guidebooks or textbooks
3 Very useful recommended readings or textbooks#
available on the Ctools course website).
A. Basic Textbooks and Manuals
1Kline, R. B. (2011). Principles and practice of structural equation modeling. (3
ndEdition). New
York: The Guilford Press. ISBN for the paperback is: 9781606238769. [This is the main
textbook for this course. Every student should have a copy. The local book stores
will carry copies or else try Amazon.com].
2Byrne, B. M. (2006, 2
ndEdition). Structural equation modeling with EQS and EQS/Windows:
Basic concepts, applications, and programming. Thousand Oaks, CA: Sage Publications.
[Second most highly recommended textbook, but optional, for only if you intend to
continue using EQS. Ideally, every student should have a copy or at least an access
to the book in the library]
Nearly all the content of the two manuals below is also embedded in the HELP section of
the EQS software:2Bentler, P. M. (2006). EQS 6: Structural Equation Program Manual.
Encino, CA: Multivariate software software [Content of this manual is also includedwith the EQS software under the Help menu]2Bentler, P.M., & Wu, E.J.C. (2002). EQS 6 for Windows User's Manual.
Encino, CA: Multivariate software [Content of this manual is also included with the
EQS software under the Help menu]
B. Other useful textbooks
Bollen, K. A. (1989). Structural equations with latent variables. New York: Wiley.3Loehlin, J.C. (2004). Latent variable models: An introduction to factor, path, and structural
equation analysis. (4
th
edition). NJ. Hillsdale: Lawrence Erlbaum Associates. [Textbook].3Schumacker, R.E., & Lomax, R.G. (2010). A beginner's guide to structural equation modeling.
(3nd edition) N.J. Mahwah: Lawrence Erlbaum Associates. [Textbook]. In particular
note Chapter 5 Goodness of fit criteria pp. 73-120.
C. General reviews of SEM
2 #Hoyle, R.H. & Smith, G.T. (1994). Formulating clinical research hypotheses as structural
equation models: A Conceptual Overview. Journal of Consulting and Clinical Psychology,
62, 429-440. [Among the best overview introductory articles to SEM].3, #
Klem, L. (2000). Structural equation modeling. In L. G. Grimm, & P. R. Yarnold (Eds.),
Reading and understanding more multivariate statistics . Washington, D.C.: American
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Psychological Association.1, #
Russell, D. W., Kahn, J. H., Altmaier, E.M., & Spoth, R. (1998). Analyzing data from
experimental studies: A latent variable structural equation modeling approach. Journal of
Consulting Psychology, 5(1), 18-29.2, # Vinokur, A.D. (2005). Structural Equation Modeling (SEM). In S. J. Best & B. Radcliff
(Eds.), Polling America: An Encyclopedia of Public Opinion (pp. 800-805). Westport,
Connecticut: Greenwood Press.
D. Other Available Resources Dedicated to SEM
Journals: Structural Equation Modeling: A multidisciplinary Journal Published by Lawrence
Erlbaum Associates, Publishers.
Websites:1. The website for Kline's Textbook: www.Guilford.com/Kline
2. www.hawaii.edu/sem/sem.html
3. http://davidakenny.net/kenny.htm (David Kenneys website).
4 . SEMNET discussion group, see
http://www2.gsu.edu/~mkteer/semnet.html
To subscribe, see instructions on the above webpage
4. To obtain data for your papers: http://www.icpsr.umich.edu See below:
On a rich archive with thousands of documented datasets available to students and facultyfrom a consortium of about 400 universities around the world. Datasets can be used to prepare
master theses, dissertations and other research publications.
E. How to report SEM work in your research paper
1,#Boomsma, A. (2000). Reporting analyses of covariance structures. Structural Equation
Modeling, 7(3), 461-482.3, #
McDonald, R.P., & Ho, M.R. (2002). Principles and practice in reporting structural equation
analyses. Psychological Methods, 7 (1), 64-82.
2, #Raykov, T., Tomer, A., & Nesselroade, J. R. (1991). Reporting structural equation modeling
results in Psychology and Aging: some proposed guidelines. Psychology and Aging, 6(4),
499-503. [Important article that set standards for how and what should be reportedin articles that include structural analyses but somewhat dated, Boomsma (2000)
article is more up to-date and comprehensive]
Example:3,#
Vinokur, A.D., & Schul, Y. (2002). The web of coping resources and pathways to
reemployment following a job loss. Journal of Occupational Health Psychology, 7, 68-83.
F. Misc. Specific Topics
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1. Issues relating to indicators, parcels and factors
On Parceling:
Bandalos, D.L. (2002). The effects of item parceling on Goodness-of-Fit and parameter estimate
bias in structural equation modeling. Structural Equation Modeling, 9 (1), 78-102.
Bandalos, D.L., & Finney, S.J. (2001). Item parceling issues in structural equation modeling. In.
G.A. Marcoulides and R.E. Schumacker (Eds.) New developments and techniques in
structural equation modeling. London: Lawrence Erlbaum Associates.
Liang, J., Lawrence, R. H., Bennett, J. M., & Whitelaw, N. A. (1990). Appropriateness of
composites in structural equation models. Journal of Gerontology: SOCIAL SCIENCES,
45(2), 553-559.
[The practical implications of this article for using one observed indicator (e.g.,
index) for one latent variable are demonstrated in the article by Frone et al below.]
Frone, M. R., Russell, M. and Cooper, M. L. (1992). `Antecedents and outcomes of work-family
conflict: testing a model of the work-family interface', Journal of Applied Psychology,
77(1), 65-78. Or, see Vinokur, Pierce and Buck (1999); Article placed in Ctools.
Sass, D.A., & Smith, P.L. (2006). The effects of parceling unidimensional scales on structural
parameter estimates in structural equation modeling. Structural Equation Modeling, 13
(4), 566-586.
Little, T.D., Lindenberger, U., & Nesselroade, J.R. (1999). On selecting indicators for
multvariate measurement and modeling with latent variables: When good indicators are
bad and bad indicators are good. Psychological Methods, 4 (2), 192-211.3,#Marsh, H.W., Hau, K., Balla, J.R., & Grayson, D. (1998). Is more ever too much? The number
of indicators per factor in confirmatory factor analysis. Multivariate Behavioral Research,
33(2), 181-220.
Chen, F.F., S.G. West, and K.H. Sousa (2006). A comparison of bifactor and second-order
models of quality of life. Multivariate Behavioral Research, 41(2): 189-225.
Hall, R.J., A.F. Snell, and M.S. Foust (1999). Item parceling strategies in SEM: Investigating the
subtle effects of unmodeled secondary constructs. Organizational Research Methods,
2(3): 233-256.
On Reflective and Formative Factors:
Bollen, K.A., & Ting, K. (2000). A tetrad test for causal indicators. Psychological Methods, 5
(1), 3-22.3.#Edwards, J.R., & Bagozzi, R.P. (2000). On the nature and direction of relationships between
constructs and measures. Psychological Methods, 5(2), 155-174.
Edwards, J.R. (2011). The fallacy of formative measurement. Organizational Research Methods,
2011. 14(2): 370-388.
Howell, R.D., E. Breivik, and J.B. Wilcox (2007). Reconsidering formative measurement.
Psychological Methods, 12(2): 205-218.
MacKenzie, S.B., Podaskoff, P.M., & Jarvis, C.B. (2005). The problem of measurement model
misspecification in behavioral and organizational research and some recommended
solutions. Journal of Applied Psychology, 90 (4), 710-730.
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MacCallum, R.C., & Browne, M.W. (1993). Use of causal indicators in covariance
structure models: Some practical issues. Psychological Bulletin. 114 (3), 533-541.
Treiblmaier, H., P.M. Bentler, and P. Mair (2011). Formative constructs implemented via
common factors. Structural Equation Modeling, 18(1): 1-17.
Williams, L.J. and E. O'Boyle Jr. (2008). Measurement models for linking latent variables and
indicators: A review of human resource management research using parcels. Human
Resource Management Review, 18: 233-242.
2. Adjustment for reliability1, #Bedeian, A. G., Day, D. V., & Kelloway, E. K. (1997). Correcting for measurement error
attenuation in structural equation models: Some important reminders. Educational and
psychological Measurement, 57 (5), 785-799.
3. Model identification3, #Rigdon, E. E. (1995). A necessary and sufficient identification for structural modelsestimated in practice. Multivariate Behavioral Research, 30 (3), 359-383.
4. Measures of goodness of fit and misfitHu, L., & Bentler, P. M. (1999). Cutoff criteria for fit indexes in covariance structure
analysis: Conventional criteria versus new alternatives. Structural Equation Modeling, 6
(4), 1-55.
Browne, M. W., & Cudek, R. (1993). Alternative ways of assessing model fit. In K. A.
Bollen, & L. S. Long (Eds.), Testing structural equation models. Newbury Park, CA:
Sage.
Costner, H.L. (1965). Criteria for measures of association. American Sociological Review,30 (3), 341-353.
O'Boyle Jr, E.H. and L.J. Williams, (2011). Decomposing model fit: Measurement vs.
theory in organizational research using latent variables. J. of Applied Psy., 96(1): 1.
Williams, L.J. and E. O'Boyle Jr. (2011). The myth of global fit indices and alternatives for
assessing latent variable relations. Organizational Research Methods, 14(2): 350-369.
5. Model modification: capitalizing on chanceMacCallum, R. C., Roznowski, M., & Necowitz, L. B. (1992). Model modifications in
covariance structure analysis: The problem of capitalization on chance. Psychological
Bulletin, 111(3), 490- 504.
6. Equivalent models3,#
MacCallum, R. C., Wegener, D. T., Uchino, B. N., & Fabrigar, L. R. (1993). The problem of
equivalent models in applications of covariance structure analysis. Psychological Bulletin,
114(1), 184-199.
7. Power analysis in SEM3,#MacCallum, R. C., Browne, M. W., & Sugawara, H.M. (1996). Power analysis and
determination of sample size for covariance structure modeling. Psychological Methods, 1
(2), 130- 149.
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8. Modeling one or more common method effectsBagozzi, R. P. (1993). Assessing construct validity in personality research: Applications to
measures of self-esteem. Journal of Research in Personality, 27, 49-87.Lindell, M.K., & Whitney, D.J. (2001). Accounting for common method variance in cross
-sectional research designs. Journal of Applied Psychology, 86 (1), 114-121.
[Demonstrating ways of dealing with negative affectivity and other common
method effects also see below: Williams and Anderson]Podsakoff, P.M., Mackanzie, S.B., Lee, J., & Podsakoff, N.P. (2003). Common method
biases in behavioral research: A critical review of the literature and recommended
remedies. Journal of Applied Psychology, 88, 879-903.
Vinokur-Kaplan, D. (1995). Treatment teams that work (and those that don't): An
application of Hackman's group effectiveness model to interdisciplinary teams in
psychiatric hospitals. Journal of Applied Behavioral Science, 31, 303-327.3,#
Tomas J.M., & Oliver, A. (1999). Rosenberg's self esteem scale: Two factor or methodeffects. Structural Equation Modeling, 6(1), 84-98.
Williams, L. J., & Anderson, S. E. (1994). An alternative approach to method effects by
using latent-variable models: Applications in organizational behavior research. Journal
of Applied Psychology, 79(3), 323-331. [Demonstrating ways of dealing with
negative affectivity and other common method effects also see Lindell, M.K., &
Whitney]
9. Modeling data from different sources3,#Vinokur, A.D., Price, R.H., & Caplan, R.D. (1996). Hard times and hurtful partners: How
financial strain affects depression and relationship satisfaction of unemployed persons and
their spouses. Journal of Personality and Social Psychology, 71 (1), 166-179. [The
Couples Stress and Coping Model: model E]. [Demonstrating analyses based on two
sources of data as well as issues relating to longitudinal analyses, and comparison of
alternative models, and models for different subgroups]
10. Modeling Interactions (using categorical variables and
continuous ones)Using categorical variables: Group comparisons
1,#Benbenishty, R., Astor, R.A., Zeira, A, & Vinokur, A.D. (2002). Perception of violence
and fear of school attendance among junior high school students in Israel. Social
Work Research, 26(2) 71-87. [Article with comparisons across groups]
Using continuous variables:
Marsh, H.W., Wen, Z., & Hau, K. (2004). Structural equation models of latent
interactions: Evaluation of alternative estimation strategies and indicator.
Psychological Methods, 9 (3), 275-300.
Jackman, M.G.-A., W.L. Leite, and D.J. Cochrane (2011). Estimating latent variable
interactions with the unconstrained approach: A comparison of methods to form
product indicators for large, unequal numbers of items. Structural Equation Modeling,
18: 274-288.
Wolchik, S. A., West, S. G., Westover, S., Sandler, I.N., Martin, A., Lustig, J., Tein, J., &
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Fisher, J. (1993). The children of divorce parenting intervention: Outcome evaluation of
an empirically based program. Amer. J of Community Psychology, 21 (3), 293-331.
Aiken, L.S., & West, S.G. (1991), Multiple Regression: Testing and Interpreting
Interactions. Newbury Park, CA: Sage Publications.
11. Using Meta-analysis with SEMHome, P. W., Caranikas-Walker, F., Prussia, G. E., & Griffieth, R. W. (1992). A meta-
analytic structural equation analysis of a model of employee turnover. Journal of
Applied Psychology, 77 (6), 890-909. [Applying SEM to model the results of a
Meta-Analysis]
12. Modeling changeKessler, R.C., & Greenberg (1981). Linear panel analysis. New York: Academic Press.
Chapter 6, pp. 77-80.
Maassen, G.H., & Bakker, A.B. (2001). Suppressor variables in path models.Sociological Methods & Research, 30 (2), 241-270. [Regarding modeling change:
see pp 256- 264.#Price, R. H., Choi, J., & Vinokur, A.D. (2002). Links in the chain of adversity following
job loss: How economic hardship and loss of personal control lead to depression,
impaired functioning and poor health. Journal Occupational Health Psychology, 7(4),
302-312.#Russell, D. W., Kahn, J. H., Altmaier, E.M., & Spoth, R. (1998). Analyzing data from
experimental studies: A latent variable structural equation modeling approach.
Journal of Consulting Psychology, 5(1), 18-29. Addition to the article: SEE Slide
PP16ee
13. On causal inferences using SEMBollen, K. A. (1989). Structural equations with latent variables. New York: Wiley.
Chapter 3, pp. 40-79.
Pearl, J. (2000). Causality: Models, reasoning, and inference. Cambridge: Cambridge
University Press.
14. Mediational analysesBaron, R. M., & Kenny, D. A. (1986). The moderator-mediator variable
distinction in social psychological research: Conceptual, strategic and statistical
considerations. Journal of Personality and Social Psychology, 51, 1173-1182.
Holmbeck G. N. (1997). Toward terminological, conceptual, and statistical clarity in the
study of mediators and moderators: Examples from the child-clinical and pediatric
psychology literatures. Journal of Consulting and Clinical Psychology, vol 65(4).
Judd, C. M., & Kenny, D. A. (1981). Process analysis: Estimating mediation
in treatment evaluations. Evaluation Review, 5, 602-619.
MacKinon, D.P., Krull, J.L., & Lockwood, C.M. (2000). Equivalence of the mediation,
confounding and suppression effect. Prevention Science, 1(4), 173-182.
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Kenny, D. A., Kashy, D. A., & Bolger, N. (1998). Data analysis in social
psychology. In D. Gilbert, S. Fiske, & G. Lindzey (Eds.), The handbook of social
psychology (Vol. 1, 4th ed., pp. 233-265). Boston, MA: McGraw-Hill.
Shrout, P. E., & Bolger, N. (2002). Mediation in experimental and nonexperimental
studies: New procedures and recommendations. Psychological Methods, 7(4), 422-
445.
Sobel, M. E. (1982). Asymptotic confidence intervals for indirect effects
in structural equation models. In S. Leinhardt (Ed.), Sociological Methodology 1982
(pp. 290-312). Washington DC: American Sociological Association.
Preacher, K.J. and A.F. Hayes (2008). Asymptotic and resampling strategies for assessing and
comparing indirect effects in multiple mediator models. Behavior research methods, 40(3):
879-891.
Kaplan Ed, R.M., Health Psychology, 2008. 27(2S): S99-S184. Special ISSUE on mediation.
MacKinnon, D.P. (2008). Introduction to statistical mediation analysis. Erlbaum Psych Press.
Also, more on Sobel test see: http://quantpsy.org/sobel/sobel.htm and for a test based on
Bootstrap see: http://quantpsy.org/medmc/medmc.htm
The following websites include abundance of information on MEDIATION and
also on several topics of SEM:
David Kenny's website (the first below) is most highly recommended.
http://users.rcn.com/dakenny/kenny.htm
http://www.gsu.edu/~mkteer/semfaq.html
http://users.rcn.com/dakenny/mediate.htmhttp://www.public.asu.edu/~davidpm/ripl/mediate.htm
15. Data preparation (transformations, outliers and imputations)Kline, R. B. (2011). Principles and practice of structural equation modeling. (3nd Edition).
New York: The Guilford Press. Chapter 3, pp. 51-64, and Chapter. 7, pp. 176-182.
16. Misc. modeling issues (e.g., setting weights, factor loadings)Gonzalez, R, & Griffin, D. (2001). Testing parameters in structural equation modeling:
Every "one" matters. Psychological Methods, 6 (3), 258-269.
Kaplan, D, & Ferguson, A.J. (1999). On the utilization of sample weights in latentvariable models. Structural Equation Modeling, 6(4), 305-321.
Allison, P.D., (2003). Missing data techniques for structural equation modeling. Journal of
Abnormal Psychology, 112(4): 545-557.
Cole, D.A., J.A. Ciesla, and J.H. Steiger (2007).The insidious effects of failing to include
design-driven correlated residuals in latent-variable covariance structure analysis.
Psychological Methods, 12(4): 381-398.
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G. Misc. References of Various Research Studies Using SEM
Bagozzi, R. P., & Yi, Y. (1988). On the evaluation of structural equation models. Journal of theAcademy of Marketing Science, 16(1), 74-94.
Bryant, F. B., Edwards, J., Tin dale, R. S., Plosive, E. J., Heath, L., Henderson, E., &
Suarez-Alcazar, Y. (Edited by). (1992). Methodological issues in applied social
psychology. New York and London: Plenum Press.
Dormann, C. (2001). Modeling unmeasured third variables in longitudinal studies.
Structural Equation Modeling. 8 (4), 575-598.
Farkas, A. J., & Tetrick, L. E. (1989). A three-wave longitudinal analysis of the causal ordering
of satisfaction and commitment on turnover decisions. Journal of Applied Psychology, 74
(855-868),
Farrell, A. D. (1994). Structural equation modeling with longitudinal data: Strategies for
examining group differences and reciprocal relationships. Journal of Counseling andClinical Psychology, 62(3), 477-487.
Hays, R. D., Marshall, G. N., Wang, E. Y. I., & Sherbourne, C. D. (1994). Four-year
cross-lagged associations between physical and mental health in the medical outcomes
study. Journal of Consulting and Clinical Psychology, 3, 441-449.
Krause, N., Liang, J., & Yatomi, N. (1989). Satisfaction with social support and depressive
symptoms: A panel analysis. Psychology and Aging, 4(1), 88-97.
MacCallum, R. C., & Browne, M. W. (1993). The use of causal indicators in covariance
structure models: Some practical issues. Psychological Bulletin. 114(3), 533-541.
Netemeyer, R. G., Johnston, M. W., & Burton, S. (1990). Analysis of role conflict and role
ambiguity in a structural equations framework. Journal of Applied Psychology, 75,
148-157.
Newcomb, M. D. (1994). Drug use and intimate relationships among women and men: Separating
specific from general effects in prospective data using structural equation models. Journal
of Counseling and Clinical Psychology, 62(3), 463-476.
Newsom, J.T., et al., (2008). Stable negative social exchanges and health. Health Psychology,
27(1): 78-86.
Pentz, M. A., & Chou, C. (1994). Measurement invariance in longitudinal clinical research
assuming change from development and intervention. Journal of Counseling and Clinical
Psychology, 62, 450-462.
Rubio, D.M., Berg-Weger, M., & Tebb, S.S. (2001). Using structural equation modeling to
test for multidimensionality. Structural Equation Modeling. 8 (4), 613-626.Schaubroeck, J., Cotton, J. L., & Jennings, K. R. (1989). Antecedents and consequences of role
stress: A covariance structure analysis. Journal of Organizational Behavior, 10, 35- 58.
Shaikh, A.R., et al., (2011). Direct and Mediated Effects of Two Theoretically Based
Interventions to Increase Consumption of Fruits and Vegetables in the Healthy Body
Healthy Spirit Trial. Health Education & Behavior, 38(5): 492-501.
Wayne, S. J., & Ferris, G. R. (1990). Influence tactics, affect, and exchange quality in
supervisor-subordinate interactions: A laboratory experiment and field study. Journal of
Applied Psychology, 75, 487-499.#Westman, M., Vinokur, A.D., Hamilton, V.L., & Roziner, I. (2004). Crossover of Marital
Dissatisfaction During Downsizing: A Study of Russian Army Officers and their Spouses.
Journal of Applied Psychology, 89 (5), 769-779.
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Williams, L. J., & Hazer, J. T. (1986). Antecedents and consequences of satisfaction and
commitment in turnover methods: A reanalysis using latent variable structural equation
methods. Journal of Applied Psychology, 71, 219-231.
III. Articles for the course on Ctools Website(The articles on Ctools are under Course Resources subdirectory Course Readings)
1. Bagozzi, R. P. (1993). Assessing construct validity in personality research: Applications to
measures of self-esteem. Journal of Research in Personality, 27, 49-87.
2. Bedeian, A. G., Day, D. V., & Kelloway, E. K. (1997). Correcting for measurement error
attenuation in structural equation models: Some important reminders. Educational and
Psychological Measurement, 57(5), 785-799.
3. Benbenishty, R., Astor, R. A., Zeira, A., & Vinokur, A. D. (2002). Perceptions of violence and
fear of school attendance among junior high school students in Israel. Social Work
Research, 26(2), 71-87.
4. Boomsma, A. (2000). Reporting analyses of covariance structures. Structural Equation
Modeling, 7(3), 461-482.
5. Chen, West, & Sousa (2006). A comparison of Bifactor and second-order models of quality of
life. Multivariate Behavioral Research, 41(2), 189-225.
6. Edwards, J. R., & Bagozzi, R. P. (2000). On the nature and direction of relationshipsbetween constructs and measures. Psychological Methods, 5(2), 155-174.
7. Fincham, F. D., Beach, S. R. H., Harold, G. T., & Osborne, L. N. (1997). Marital
satisfaction and depression: Different causal relationships for men and women?
Psychological Science, 8(5), 351-357.
8. Holmbeck G. N. (1997). Toward terminological, conceptual, and statistical clarity in the study
of mediators and moderators: Examples from the child-clinical and pediatric psychology
literatures. Journal of Consulting and Clinical Psychology, vol 65(4).
9. Hoyle, R. H., & Smith, G. T. (1994). Formulating clinical research hypotheses asstructural equation models: A conceptual overview. Journal of Consulting and Clinical
Psychology, 62(3), 429-440.
10. Kessler, R.C., & Greenberg (1981). Linear panel analysis. New York: Academic Press.
Chapter 6, pp. 77-80.
11. Klem, L. (2000). Structural equation modeling. In L. G. Grimm, & P. R. Yarnold (Eds.),
Reading and understanding more multivariate statistics. Washington, D.C.: American
Psychological Association.
12. Kline, R.B. (2005). How to fool yourself with SEM. In R.B. Kline: Principles and practice of
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structural equation modeling. New York: The Guilford Press. (Ch. 12, pp 313-324).
13. Maassen, G.H., & Bakker, A.B. (2001). Suppressor variables in models: Definitions and
interpretations. Sociological Methods & Research, 30,(2), 241-270.
14. MacCallum, R.C., & Browne, M.W. (1993). Use of causal indicators in covariance structure
models: Some practical issues. Psychological Bulletin. 114 (3), 533-541.
15. MacCallum, R. C., Browne, M. W., & Sugawara, H.M. (1996). Power analysis and
determination of sample size for covariance structure modeling. Psychological Methods, 1
(2), 130- 149.
16. MacCallum, R. C., Wegener, D. T., Uchino, B. N., & Fabrigar, L. R. (1993).
The problem of equivalent models in applications of covariance structure analysis.
Psychological Bulletin, 114(1), 184-199.
17. MacKenzie, S.B., Podsakoff, P.M., & Jarvis, C.B. (2005). The problem of measurement
model misspecification in behavioral and organizational research and some
recommended solutions. Journal of Applied Psychology, 90 (4), 710-730.
18. Marsh, H.W., Wen, Z., & Hau, K. (2004). Structural equation models of latent interactions:
Evaluation of alternative estimation strategies and indicator. Psychological Methods, 9
(3), 275-300.
19. Marshall, G. N., & Lang, E. L. (1990). Optimism, self-mastery, and symptoms of
depression in women professionals. J. of Personality and Social Psych., 59(1), 132-139.
20. McDonald, R. P., & Ringo Ho, Moon-Ho (2002). Principles and practice in reporting
structural equation analyses. Psychological Methods, 7(1), 64-82.
21. Noar, S. M. (2003). The role of structural equation modeling in scale development..
Structural Equation Modeling, 10(4), 622-647.
22. Pierce, P. F., Vinokur, A. D., & Buck, C. L. (1998). Effects of war-induced maternal
separation on children's adjustment during the Gulf War and two years later. Journal
of Applied Social Psychology, 28(14), 1286-1311.
23. Podsakoff, P.M., Mackanzie, S.B., Lee, J., & Podsakoff, N.P. (2003). Common method
biases in behavioral research: A critical review of the literature and recommended remedies.
Journal of Applied Psychology, 88, 879-903.
24. Price, R. H., Choi, J. N., Vinokur, A.D. (2002). Links in the chain of adversity following job
loss: How financial strain and loss of personal control lead to depression, impaired
functioning, and poor health. Journal of Occupational Health Psychology, 7(4), 302-312.
25. Raykov, T., Tomer, A., & Nesselroade, J. R. (1991). Reporting structural equation
modeling results in Psychology and Aging: Some proposed guidelines. Psychology and
Aging, 6(4), 499-503.
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26. Rigdon, E. E. (1995). A necessary and sufficient identification for structural models
estimated in practice. Multivariate Behavioral Research, 30 (3), 359-383.
27. Russell, D. W., Kahn, J. H., Altmaier, E.M., & Spoth, R. (1998). Analyzing data from
experimental studies: A latent variable structural equation modeling approach. Journal of
Consulting Psychology, 5(1), 18-29.
28. Shrout, P. E., & Bolger, N. (2002). Mediation in experimental and nonexperimental studies:
New procedures and recommendations. Psychological Methods, 7(4), 422-445.
29. Tomarken, A. J., & Waller, N. G. (2003). Potential problems with well fitting models.
Journal of Abnormal Psychology, 112 (4), 578-598.
30. Tomas, Jose M., & Oliver, Amparo (1999). Rosenberg's Self-Esteem Scale: Two factorsor method effects. Structural Equation Modeling 6(1), 84-98.
31. Vinokur, A. D., Pierce, P. F., & Buck, C. L. (1999). Work-Family Conflicts of Women in the
Air Force: Their influence on Mental Health and Functioning. Journal of Organizational
Behavior, 20, 865-878.
32. Vinokur, A. D., Price, R. H., & Caplan, R. D. (1996). Hard times and hurtful partners:
How financial strain affects depression and relationship satisfaction of unemployed
persons and their spouses. J. of Personality and Social Psychology, 71 (1), 166-179.
33. Vinokur, A. D., & Schul, Y. (1997). Mastery and inoculation against setbacks as activeingredients in the JOBS intervention for the unemployed. Journal of Consulting and
Clinical Psychology, 65(5), 867-877.
34. Vinokur, A. D., & Schul, Y. (2002). The web of coping resources and pathways to
reemployment following a job loss. J. of Occupational Health Psych., 7(1), 68-83.
35. Vinokur, A.D. (2005). Structural Equation Modeling (SEM). In S. J. Best & B. Radcliff
(Eds.), Polling America: An Encyclopedia of Public Opinion (pp. 800-805). Westport,
Connecticut: Greenwood Press.
36. Vinokur-Kaplan, D. (1995). Treatment teams that work (and those that don't): Anapplication of Hackman's group effectiveness model to interdisciplinary teams in psychiatric
hospitals. Journal of Applied Behavioral Science, 31, 303-327.
37. Westman, M., Vinokur, A.D., Hamilton, V.L., & Roziner, I. (2004). Crossover of Marital
Dissatisfaction During Downsizing: A Study of Russian Army Officers and their Spouses.
Journal of Applied Psychology, 89 (5), 769-779.
38. Vinokur, A.D., Merion, R.M., Couper, M.P., Jones, E.G., Dong, Y., (2006). Educational
Web-Based Intervention for High School Students to Increase Knowledge and Promote
Positive Attitudes Toward Organ Donation. Health Education and Beh., 33(6), 773-786.
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39. Vinokur, A.D., Pierce, P. F., Lewandowski-Romps, L., Hobfoll, S., & Galea, S. (2011).
Effects of war exposure on Air Force personnels mental health job burnout and other
organizational related outcomes. Journal of Occupational Health Psychology, 16, 3-17.
-------------------------------------------------- End of Syllabus ------------------------------------------