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Joe F. Hair, Jr.Joe F. Hair, Jr.
Founder & Senior Scholar, DBAFounder & Senior Scholar, DBA
ProgramProgram
Joe F. Hair, Jr.Joe F. Hair, Jr.
Founder & Senior Scholar, DBAFounder & Senior Scholar, DBA
ProgramProgram
PLS-SEMPLS-SEM
Sewall Wright, Correlation and Causation,Sewall Wright, Correlation and Causation, JournalJournal
of Agricultural Researchof Agricultural Research, Vol. XX, No. 7, 1921., Vol. XX, No. 7, 1921.
SEM Model:SEM Model:
Predicting the Birth WeightPredicting the Birth Weight
of Guinea Pigsof Guinea Pigs
X & Y = different outcomesX & Y = different outcomes
B, C & D = common causesB, C & D = common causes
A & E = independent causesA & E = independent causes
The greatest interest in any factor solution centers on the correlations between the original
variables and the factors. The matrix of such test-factor correlations is called the factor structure,
and it is the primary interpretative device in principal components analysis. In the factor
structure the element rjk gives the correlation of the jth test with the kth factor. Assuming that the
content of the observation variables is well known, the correlations in the kth column of the
structure help in interpreting, and perhaps naming, the kth factor. Also, the coefficients in the jth
row give the best view of the factor composition of the jth test.
Another set of coefficients of interest in factor analysis is the weights that compound predicted
observations z from factor scores f. These regression coefficients for the multiple regression of
each element of the observation vector z on the factor f are called factor loadings and the matrix
A that contains them as its rows is . . . . .
Source: Cooley, William W., and Paul R. Lohnes, Multivariate Data Analysis, John Wiley & Sons,
Inc., New York, 1971, page 106.
2/12/1
2/1
2/1
2/1
1
sinceand
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1
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:followsasisstructurefactortheofderivationThe
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Structural Equations ModelingStructural Equations Modeling
What comes to mind?What comes to mind?
CB-SEMCB-SEM
LISRELLISREL
AMOS ?AMOS ?
PLS-SEM
PLS-SEM
CB-SEM (Covariance-based SEM)CB-SEM (Covariance-based SEM) ––
objective is to reproduce the theoreticalobjective is to reproduce the theoretical
covariance matrix, without focusing oncovariance matrix, without focusing on
explained variance.explained variance.
PLS-SEM (Partial Least Squares SEM)PLS-SEM (Partial Least Squares SEM)
– objective is to maximize the explained– objective is to maximize the explained
variance of the endogenous latentvariance of the endogenous latent
constructs (dependent variables).constructs (dependent variables).
CB-SEM ModelCB-SEM Model
HBAT,HBAT, MDAMDA databasedatabase
Covariance Matrix = HBAT 3-Construct modelCovariance Matrix = HBAT 3-Construct model
CB-SEMCB-SEM – evaluation focuses on goodness of– evaluation focuses on goodness of
fit = minimization of the difference betweenfit = minimization of the difference between
the observed covariance matrix and thethe observed covariance matrix and the
estimated covariance matrix.estimated covariance matrix.
Research objective: testing and confirmation whereResearch objective: testing and confirmation where
prior theory is strong.prior theory is strong.
• Assumes normality of data distribution,Assumes normality of data distribution,
homoscedasticity, large sample size, etc.homoscedasticity, large sample size, etc.
• Only reliable and valid variance is useful for testingOnly reliable and valid variance is useful for testing
causal relationships.causal relationships.
• A “full information approach” which means smallA “full information approach” which means small
changes in model specification can result inchanges in model specification can result in
substantial changes in model fit.substantial changes in model fit.
PLS-SEMPLS-SEM – objective is to maximize the– objective is to maximize the
explained variance of the endogenousexplained variance of the endogenous
latent constructs (dependent variables).latent constructs (dependent variables).
Research objective: theory development andResearch objective: theory development and
prediction.prediction.
• Normality of data distribution not assumed.Normality of data distribution not assumed.
• Can be used with fewer indicator variables (1 or 2)Can be used with fewer indicator variables (1 or 2)
per construct.per construct.
• Models can include a larger number of indicatorModels can include a larger number of indicator
variables (CB-SEM difficult with 50+ items).variables (CB-SEM difficult with 50+ items).
• Preferred alternative with formative constructs.Preferred alternative with formative constructs.
• Assumes all measured variance (including error) isAssumes all measured variance (including error) is
useful for explanation/prediction of causaluseful for explanation/prediction of causal
relationships.relationships.
PLS Path ModelPLS Path Model
X1
X2
X3
X4
X5
X6
X7
Y2
Y1
Y3
W1
W2
W3
W4
W5
W6
W7
P1
P2
IndicatorVariable
LatentVariableLatent ConstructLatent Construct
Multivariate MethodsMultivariate Methods
Should SEM Be Used?Should SEM Be Used?
Considerations:Considerations:
1.1.The VariateThe Variate
2.2.Multivariate MeasurementMultivariate Measurement
3.3.Measurement ScalesMeasurement Scales
4.4.CodingCoding
5.5.Data DistributionData Distribution
Variate =Variate = a linear combination of several variables,a linear combination of several variables,
often referred to as the fundamental building blockoften referred to as the fundamental building block
of multivariate analysis.of multivariate analysis.
Variate value = xVariate value = x11ww11 + x+ x22ww22 + . . . + x+ . . . + xkkwwkk
Data MatrixData Matrix
Multiple Regression ModelMultiple Regression Model
Variate = xVariate = x11 + x+ x22 + x+ xkk + e+ e
Multivariate MeasurementMultivariate Measurement
Measurement = the process of assigning numbers to aMeasurement = the process of assigning numbers to a
variable/construct based on a set of rules that are used to assignvariable/construct based on a set of rules that are used to assign
the numbers to the variable in a way that accurately represents thethe numbers to the variable in a way that accurately represents the
variable.variable.
When variables are difficult to measure, one approach is toWhen variables are difficult to measure, one approach is to
measure them indirectly with proxy variables. If the concept ismeasure them indirectly with proxy variables. If the concept is
restaurant satisfaction, for example, then the several proxyrestaurant satisfaction, for example, then the several proxy
variables that could be used to measure this might be:variables that could be used to measure this might be:
1.1.The taste of the food was excellent.The taste of the food was excellent.
2.2.The speed of service met my expectations.The speed of service met my expectations.
3.3.The wait staff was very knowledgeable about the menu items.The wait staff was very knowledgeable about the menu items.
4.4.The background music in the restaurant was pleasant.The background music in the restaurant was pleasant.
5.5.The meal was a good value compared to the price.The meal was a good value compared to the price.
Multivariate measurement involves using several variables toMultivariate measurement involves using several variables to
indirectly measure a concept, as in the restaurant satisfactionindirectly measure a concept, as in the restaurant satisfaction
example above. It also enables researchers to account for the errorexample above. It also enables researchers to account for the error
in data.in data.
Data Characteristics – PLS-SEMData Characteristics – PLS-SEM
Sample Size • No identification issues with small sample sizes (35-50).
• Generally achieves high levels of statistical power with small
sample sizes (35-50).
• Larger sample sizes (250+) increase the precision
(i.e., consistency) of PLS-SEM estimations.
Data
Distribution
• No distributional assumptions (PLS-SEM is a non-parametric
method; works well with extremely non-normal data).
Missing
Values
• Highly robust as long as missing values are below
reasonable level (e.g., up to 15% randomly missing data
points).
• Use mean replacement (sub-groups) and nearest neighbor.
Measurement
Scales
• Works with metric, quasi-metric (ordinal) scaled data, and
binary coded variables (~only exogenous variables).
• Limitations when using categorical data to measure
endogenous latent variables.
• Suggest using binary variables for multi-group comparisons.
Model Characteristics – PLS-SEMModel Characteristics – PLS-SEM
Number of Items
in each Construct
Measurement
Model
• Handles constructs measured with single and
multi-item measures.
• Easily handles 50+ items (CB-SEM does not).
• Single item scales OK.
Relationships
between Latent
Constructs and
their Indicators
• Easily incorporates reflective and formative
measurement models.
Model
Complexity
• Handles complex models with many structural
model relationships.
• Larger numbers of indicators are helpful in
reducing “consistency at large”.
Model Set-up • Causal loops not allowed in the structural model
(only recursive models).
Algorithm Properties – PLS-SEMAlgorithm Properties – PLS-SEM
Objective • Minimizes the amount of unexplained variance (i.e.,
maximizes the R² values).
Efficiency • Converges after a few iterations (even in situations with
complex models and/or large sets of data) to the global
optimum solution; efficient algorithm.
Latent
Construct
Scores
• Estimated as linear combinations of their indicators.
• Used for predictive purposes.
• Can be used as input for subsequent analyses.
• Not affected by data inadequacies.
Parameter
Estimates
• Structural model relationships underestimated (PLS-
SEM bias).
• Measurement model relationships overestimated (PLS-
SEM bias).
• Consistency at large (minimal impact with N = 250+).
• High levels of statistical power with smaller sample
sizes (35-50).
Model Evaluation Issues – PLS-SEMModel Evaluation Issues – PLS-SEM
Evaluation of
Overall Model
• No global goodness-of-fit criterion.
Evaluation of
Measurement
Models
• Reflective measurement models: reliability and
validity assessments by multiple criteria.
• Formative measurement models: validity
assessment, significance of path coefficients,
multicollinearity.
Evaluation of
Structural
Model
• Significance of path coefficients, coefficient of
determination (R²), pseudo F-test (f² effect size),
predictive relevance (Q² and q² effect size).
Additional
Analyses
• Mediating effects
• Impact-performance matrix analysis
• Higher-order constructs
• Multi-group analysis
• Measurement mode invariance
• Moderating effects
• Uncovering unobserved heterogeneity: FIMIX-PLS
Rules of Thumb: PLS-SEM or CB-SEM?Rules of Thumb: PLS-SEM or CB-SEM?
Use PLS-SEM when:Use PLS-SEM when:
•The goal is predicting key target constructs or identifyingThe goal is predicting key target constructs or identifying
key “driver” constructs.key “driver” constructs.
•Formative constructs are easy to use in the structuralFormative constructs are easy to use in the structural
model. Note that formative measures can also be used withmodel. Note that formative measures can also be used with
CB-SEM, but doing so requires construct specificationCB-SEM, but doing so requires construct specification
modifications (e.g., the construct must include bothmodifications (e.g., the construct must include both
formative and reflective indicators to meet identificationformative and reflective indicators to meet identification
requirements).requirements).
•The structural model is complex (many constructs andThe structural model is complex (many constructs and
many indicators).many indicators).
•The sample size is small and/or the data is not-normallyThe sample size is small and/or the data is not-normally
distributed, or exhibits heteroskedasticity.distributed, or exhibits heteroskedasticity.
•The plan is to use latent variable scores in subsequentThe plan is to use latent variable scores in subsequent
analyses.analyses.
Use CB-SEM when:Use CB-SEM when:
•The goal is theory testing, theoryThe goal is theory testing, theory
confirmation, or the comparison of alternativeconfirmation, or the comparison of alternative
theories.theories.
•Error terms require additional specification,Error terms require additional specification,
such as the covariation.such as the covariation.
•Structural model has non-recursiveStructural model has non-recursive
relationships.relationships.
•Research requires a global goodness of fitResearch requires a global goodness of fit
criterion.criterion.
Rules of Thumb: PLS-SEM or CB-SEMRules of Thumb: PLS-SEM or CB-SEM
Specifying the Structural Model
Specifying the Measurement Models
Data Collection and Examination
PLS-SEM Model Estimation
Assessing PLS-SEM Results for Reflective
Measurement Models
Assessing PLS-SEM Results for Formative
Measurement Models
Assessing PLS-SEM Results for the Structural
Model
Interpretation of Results and Drawing Conclusions
Stage 1
Stage 2
Stage 3
Stage 4
Stage 5a
Stage 5b
Stage 6
Stage 7
Systematic Process for applying PLS-SEMSystematic Process for applying PLS-SEM
Should You Use SEM?Should You Use SEM?
Journal reviewers rate SEM papers more favorablyJournal reviewers rate SEM papers more favorably
on key manuscript attributes . .on key manuscript attributes . . ..
Mean ScoreMean Score
AttributesAttributes SEMSEM No SEMNo SEM p-valuep-value
Topic RelevanceTopic Relevance 4.24.2 3.83.8 .182.182
Research MethodsResearch Methods 3.53.5 2.72.7 .006.006
Data AnalysisData Analysis 3.53.5 2.82.8 .025.025
ConceptualizationConceptualization 3.13.1 2.52.5 .018.018
Writing QualityWriting Quality 3.93.9 3.03.0 .006.006
ContributionContribution 3.13.1 2.82.8 .328.328
Note: scores based on 5-point scale, with 5 = more favorableNote: scores based on 5-point scale, with 5 = more favorable
Source: Babin, Hair & Boles, Publishing Research in Marketing JournalsSource: Babin, Hair & Boles, Publishing Research in Marketing Journals
Using Structural Equation Modeling,Using Structural Equation Modeling, Journal of Marketing Theory andJournal of Marketing Theory and
PracticePractice, Vol. 16, No. 4, 2008, pp. 281-288., Vol. 16, No. 4, 2008, pp. 281-288.
PLS-SEM Stages 1, 2 & 3: Design IssuesPLS-SEM Stages 1, 2 & 3: Design Issues
1.1. Scale MeasuresScale Measures
• Scale selection/designScale selection/design
• Reflective vs. FormativeReflective vs. Formative
2.2. Common Methods VarianceCommon Methods Variance
• Harmon Single Factor TestHarmon Single Factor Test
• Common Latent FactorCommon Latent Factor
• Marker ConstructMarker Construct
3.3. Missing Data, outliers, etc.Missing Data, outliers, etc.
Scale DesignScale Design
1.1. Revise/UpdateRevise/Update
• Established scales – how old?Established scales – how old?
• Double barreled; negatively wordedDouble barreled; negatively worded
2.2. Number of Scale PointsNumber of Scale Points
• More scale points = greater variabilityMore scale points = greater variability
3.3. Single Item ScalesSingle Item Scales
Single Item Scales ?Single Item Scales ?
Single-item measures Multi-item measures
Theoretical
Aspects
Reliability
• no adjustment of
random error
• assessing reliability
is problematic
• allows for random error
adjustment
• determination of reliability by
means of internal
consistency
Validity
• lower construct
validity – does not
account for all facets
of a construct
• decreased criterion
validity
• assessing validity is
more problematic
• higher construct validity –
different facets of a
construct can be captured
• increased criterion validity
• validity measures based on
item-to-item correlations
Partition-
ing
• Partitioning solely
based on the single
variable
• more precise partition
• possible
Missing
Values
• very difficult to
resolve
• imputation methods based
on correlations between
indicators of the same
construct
Use in
Academic
Research
• very uncommon
(publication
problematic)
• generally accepted
Single Item Scales ?Single Item Scales ?
Single-item measures Multi-item measures
Practical
Aspects
Costs
• lower costs associated
with scale development,
questioning, and data
analysis
• higher costs associated with
scale development,
questioning, and data
analysis
Non-
response
• increased survey
response rate
• lower item nonresponse
• lower survey response rate
• higher item nonresponse
Burden
of
Question
-ing
• little burden: simple,
fast, and
comprehensible
• increased burden: longer,
likely more boring and tiring
Reflective (Scale) Versus FormativeReflective (Scale) Versus Formative
(Index) Operationalization of Constructs(Index) Operationalization of Constructs
A central research question in social science research, particularly marketingA central research question in social science research, particularly marketing
and MIS, focuses on the operationalization of complex constructs:and MIS, focuses on the operationalization of complex constructs:
Are indicators causing or being caused byAre indicators causing or being caused by
the latent variable/construct measured by them?the latent variable/construct measured by them?
Construct
Indicator 1 Indicator 2 Indicator 3
Construct
Indicator 1 Indicator 2 Indicator 3
?
Changes in the latent variableChanges in the latent variable
directly cause changes in thedirectly cause changes in the
assigned indicatorsassigned indicators
Changes in one or more of theChanges in one or more of the
indicators causes changes inindicators causes changes in
the latent variablethe latent variable
Example: Reflective vs. Formative WorldExample: Reflective vs. Formative World
ViewView
DrunkennessDrunkenness
Can’t walk a straightCan’t walk a straight
lineline
Smells of alcoholSmells of alcohol
Slurred speechSlurred speech
Example: Reflective vs. Formative World ViewExample: Reflective vs. Formative World View
DrunkennessDrunkenness
Consumption of beerConsumption of beer
Consumption of wineConsumption of wine
Consumption of hardConsumption of hard
liquorliquor
Basic Difference Between Reflective andBasic Difference Between Reflective and
Formative Measurement ApproachesFormative Measurement Approaches
““Whereas reflective indicators are essentially interchangeable (andWhereas reflective indicators are essentially interchangeable (and
therefore the removal of an item does not change the essentialtherefore the removal of an item does not change the essential
nature of the underlying construct), with formative indicatorsnature of the underlying construct), with formative indicators
‘omitting an indicator is omitting a part of the construct’.”‘omitting an indicator is omitting a part of the construct’.”
(DIAMANTOPOULOS/WINKLHOFER, 2001, p. 271)(DIAMANTOPOULOS/WINKLHOFER, 2001, p. 271)
TheThe reflective measurementreflective measurement approachapproach
focuses onfocuses on maximizingmaximizing thethe overlapoverlap
between interchangeable indicatorsbetween interchangeable indicators
TheThe formative measurementformative measurement approachapproach
generallygenerally minimizesminimizes thethe overlapoverlap
between complementary indicatorsbetween complementary indicators
ConstructConstruct
domaindomain
ConstructConstruct
domaindomain
Exercise: Satisfaction in Hotels as FormativeExercise: Satisfaction in Hotels as Formative
and Reflective Operationalized Constructand Reflective Operationalized Construct
I am comfortable withI am comfortable with
this hotelthis hotel
I appreciate this hotelI appreciate this hotel
I am looking forward toI am looking forward to
staying overnight instaying overnight in
this hotelthis hotel
The rooms‘ furnishingsThe rooms‘ furnishings
are goodare good
The rooms are quietThe rooms are quiet
The hotel‘s personnelThe hotel‘s personnel
are friendlyare friendly
The hotel’s service isThe hotel’s service is
goodgood
The hotel’s cuisine isThe hotel’s cuisine is
goodgood
The hotel’s recreationThe hotel’s recreation
offerings are goodofferings are good
The rooms are cleanThe rooms are clean
Taking everything intoTaking everything into
account, I am satisfiedaccount, I am satisfied
with this hotelwith this hotel
The hotel is low-pricedThe hotel is low-priced
SatisfactionSatisfaction
with Hotelswith Hotels
Formative Constructs – Two TypesFormative Constructs – Two Types
1.1. Composite (formative) constructsComposite (formative) constructs –– indicators completelyindicators completely
determine the “latent” construct. They share similarities becausedetermine the “latent” construct. They share similarities because
they define a composite variable but may or may not havethey define a composite variable but may or may not have
conceptual unity. In assessing validity, indicators are notconceptual unity. In assessing validity, indicators are not
interchangeable and should not be eliminated, because removinginterchangeable and should not be eliminated, because removing
an indicator will likely change the nature of the latent construct.an indicator will likely change the nature of the latent construct.
2.2. Causal constructsCausal constructs –– indicators have conceptual unity in thatindicators have conceptual unity in that
all variables should correspond to the definition of the concept. Inall variables should correspond to the definition of the concept. In
assessing validity some of the indicators may beassessing validity some of the indicators may be
interchangeable, and also can be eliminated.interchangeable, and also can be eliminated.
Bollen, K.A. (2011), Evaluating Effect, Composite, and Causal Indicators inBollen, K.A. (2011), Evaluating Effect, Composite, and Causal Indicators in
Structural Equations Models,Structural Equations Models, MIS QuarterlyMIS Quarterly, Vol. 35, No. 2, pp. 359-372., Vol. 35, No. 2, pp. 359-372.
PLS-SEM ExamplePLS-SEM Example
CUSLCUSA
LIKE
COMP
Reflective Measurement
Model
Reflective Measurement
Model
Single-Item Construct
Reflective Measurement
Model
Types of Measurement ModelsTypes of Measurement Models
PLS-SEM ExamplePLS-SEM Example
Indicators for SEM Model ConstructsIndicators for SEM Model Constructs
Competence (COMP)
comp_1 [company] is a top competitor in its market.
comp_2 As far as I know, [company] is recognized world-wide.
comp_3 I believe that [company] performs at a premium level.
Likeability (LIKE)
like_1 [company] is a company that I can better identify with than other companies.
like_2 [company] is a company that I would regret more not having if it no longer
existed than I would other companies.
like_3 I regard [company] as a likeable company.
Customer Loyalty (CUSL)
cusl_1 I would recommend [company] to friends and relatives.
cusl_2 If I had to choose again, I would chose [company] as my mobile phone services
provider.
cusl_3 I will remain a customer of [company] in the future.
Satisfaction (CUSA)
cusa If you consider your experiences with [company] how satisfied are you with
[company]?
Data Matrix for Indicator VariablesData Matrix for Indicator Variables
Column Number and Variable Name
Case
Number
1 2 3 4 5 6 7 8 9 10
comp_1 comp_2 comp_3 like_1 like_2 like_3 cusl_1 cusl_2 cusl_3 cusa
1 4 5 5 3 1 2 5 3 3 5
2 6 7 6 6 6 6 7 7 7 7
. . .
344 6 5 6 6 7 5 7 7 7 7
Getting Started with the SmartPLS SoftwareGetting Started with the SmartPLS Software
The next slide shows the graphical interface for the SmartPLS
software, with the simple model already drawn. We describe in
the following slides how to set up this model using the SmartPLS
software program. Before you draw your model, you need to
have data that serves as the basis for running the model. The
data we will use to run our example PLS model can be
downloaded either as comma separated values (.csv) or text (.txt)
data files at the following URL: http://www.smartpls.de/cr/. When
you get to the website scroll down to the Corporate Reputation
Example where it says Click on the following links to downloadClick on the following links to download
filesfiles..
SmartPLS can use both data file formats (i.e., .csv or .txt).
Follow the onscreen instructions to save one of these two files
on your hard drive. Click on Save Target As… to save the data to
a folder on your hard drive, and then Close. Now go to the folder
where you previously downloaded and saved the SmartPLS
software on your computer. Click on the file that runs SmartPLS
( ) and then on the Run tab to start the software. You are
now ready to create a new SmartPLS project.
SmartPLS Graphical InterfaceSmartPLS Graphical Interface
Example with Names and Data AssignedExample with Names and Data Assigned
Brief Instructions: Using SmartPLSBrief Instructions: Using SmartPLS
1.1. Load SmartPLS software – click onLoad SmartPLS software – click on
2.2. Create your new project – assign name and data.Create your new project – assign name and data.
3.3. Double-click to get Menu Bar.Double-click to get Menu Bar.
4.4. Draw model – see options below:Draw model – see options below:
• Insertion mode =Insertion mode =
• Selection mode =Selection mode =
• Connection mode =Connection mode =
5.5. Save model.Save model.
6.6. Click on calculate icon and select PLS algorithm onClick on calculate icon and select PLS algorithm on
the Pull-Down menu. Now accept the default options bythe Pull-Down menu. Now accept the default options by
clicking Finish.clicking Finish.
To create a new project, click on → File → New → Create New Project.To create a new project, click on → File → New → Create New Project.
The screen below will appear. Type a name in the window. ClickThe screen below will appear. Type a name in the window. Click
Next.Next.
You now need to assign a data file to the project, in our case, data.csv (orYou now need to assign a data file to the project, in our case, data.csv (or
whatever name you gave to the data you downloaded). To do so, click onwhatever name you gave to the data you downloaded). To do so, click on
the dots tab (…) at the right side of the window, find and highlight your datathe dots tab (…) at the right side of the window, find and highlight your data
folder, and click Open to select your data. Once you have specified the datafolder, and click Open to select your data. Once you have specified the data
file, click on Finish.file, click on Finish.
SmartPLS Software OptionsSmartPLS Software Options
Find your new project in window, expand list of projects to get projectFind your new project in window, expand list of projects to get project
details (see below), click on the .splsm file for your projectdetails (see below), click on the .splsm file for your project
Double click on your new model to get the menuDouble click on your new model to get the menu
bar to appear at the top of the screen.bar to appear at the top of the screen.
Selection modeSelection mode
Draw constructsDraw constructs
Draw structural pathsDraw structural paths
Initial Structural Model – No Indicator VariablesInitial Structural Model – No Indicator Variables
Structural Model with Names and PathsStructural Model with Names and Paths
Name Constructs, Align Indicators, Etc. . . .Name Constructs, Align Indicators, Etc. . . .
 Start calculation
Change reflective to formative
Show measurement model
Rename Construct
Hide used indicators
How to Run SmartPLS SoftwareHow to Run SmartPLS Software
Default Settings for Example – Click Finish to runDefault Settings for Example – Click Finish to run
Trade-off in missing valueTrade-off in missing value
treatment:treatment:
Case wise replacement canCase wise replacement can
greatly reduce the number ofgreatly reduce the number of
cases but sample meancases but sample mean
imputation reduces variables’imputation reduces variables’
variance.variance.
 Preferred approach to dealPreferred approach to deal
with missing data is combinationwith missing data is combination
of sub-group and nearestof sub-group and nearest
neighbor, or use EM imputationneighbor, or use EM imputation
using SPSS.using SPSS.
Always use path weighting schemeAlways use path weighting scheme
PLS Results for ExamplePLS Results for Example
SmartPLS Calculation Reports – OverviewSmartPLS Calculation Reports – Overview
Quality Criteria Report – SmartPLSQuality Criteria Report – SmartPLS
The composite reliability isThe composite reliability is
excellent – almost .90 for allexcellent – almost .90 for all
three constructs.three constructs.
The AVEs for all three constructs areThe AVEs for all three constructs are
well above .50.well above .50.
Summary of PLS-SEM FindingsSummary of PLS-SEM Findings
1.1.The direct path from COMP to CUSA is 0.162 and the direct pathThe direct path from COMP to CUSA is 0.162 and the direct path
from COMP to CUSL is 0.009.from COMP to CUSL is 0.009.
2.2.The direct path from LIKE to CUSA is 0.424 and the direct pathThe direct path from LIKE to CUSA is 0.424 and the direct path
from LIKE to CUSL is 0.342.from LIKE to CUSL is 0.342.
3.3.The direct path from CUSA to CUSL is 0.504.The direct path from CUSA to CUSL is 0.504.
4.4.Overall, the model predicts 29.5% of the variance in CUSA, andOverall, the model predicts 29.5% of the variance in CUSA, and
56.2% of the variance in CUSL.56.2% of the variance in CUSL.
5.5.Reliability of constructs is excellent.Reliability of constructs is excellent.
6.6.Constructs achieve convergent validity (AVE > 0.50)Constructs achieve convergent validity (AVE > 0.50)
To determine significance levels, you must run BootstrappingTo determine significance levels, you must run Bootstrapping
option. Look for under the calculate option.option. Look for under the calculate option.

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Structured equation model

  • 1. Joe F. Hair, Jr.Joe F. Hair, Jr. Founder & Senior Scholar, DBAFounder & Senior Scholar, DBA ProgramProgram Joe F. Hair, Jr.Joe F. Hair, Jr. Founder & Senior Scholar, DBAFounder & Senior Scholar, DBA ProgramProgram PLS-SEMPLS-SEM
  • 2. Sewall Wright, Correlation and Causation,Sewall Wright, Correlation and Causation, JournalJournal of Agricultural Researchof Agricultural Research, Vol. XX, No. 7, 1921., Vol. XX, No. 7, 1921. SEM Model:SEM Model: Predicting the Birth WeightPredicting the Birth Weight of Guinea Pigsof Guinea Pigs X & Y = different outcomesX & Y = different outcomes B, C & D = common causesB, C & D = common causes A & E = independent causesA & E = independent causes
  • 3. The greatest interest in any factor solution centers on the correlations between the original variables and the factors. The matrix of such test-factor correlations is called the factor structure, and it is the primary interpretative device in principal components analysis. In the factor structure the element rjk gives the correlation of the jth test with the kth factor. Assuming that the content of the observation variables is well known, the correlations in the kth column of the structure help in interpreting, and perhaps naming, the kth factor. Also, the coefficients in the jth row give the best view of the factor composition of the jth test. Another set of coefficients of interest in factor analysis is the weights that compound predicted observations z from factor scores f. These regression coefficients for the multiple regression of each element of the observation vector z on the factor f are called factor loadings and the matrix A that contains them as its rows is . . . . . Source: Cooley, William W., and Paul R. Lohnes, Multivariate Data Analysis, John Wiley & Sons, Inc., New York, 1971, page 106. 2/12/1 2/1 2/1 2/1 1 sinceand )(1 )(1 1 ))((1 :followsasisstructurefactortheofderivationThe VLVLL VLRV RVL VLzz zVLz fz mfmz == = = ′ = ′′= ′ = ′−−= − − − − = ∑ ∑ ∑ ∑ S S S ii ii ii N i fizi N N N N
  • 4. Structural Equations ModelingStructural Equations Modeling What comes to mind?What comes to mind? CB-SEMCB-SEM LISRELLISREL AMOS ?AMOS ? PLS-SEM PLS-SEM
  • 5. CB-SEM (Covariance-based SEM)CB-SEM (Covariance-based SEM) –– objective is to reproduce the theoreticalobjective is to reproduce the theoretical covariance matrix, without focusing oncovariance matrix, without focusing on explained variance.explained variance. PLS-SEM (Partial Least Squares SEM)PLS-SEM (Partial Least Squares SEM) – objective is to maximize the explained– objective is to maximize the explained variance of the endogenous latentvariance of the endogenous latent constructs (dependent variables).constructs (dependent variables).
  • 6. CB-SEM ModelCB-SEM Model HBAT,HBAT, MDAMDA databasedatabase
  • 7. Covariance Matrix = HBAT 3-Construct modelCovariance Matrix = HBAT 3-Construct model
  • 8. CB-SEMCB-SEM – evaluation focuses on goodness of– evaluation focuses on goodness of fit = minimization of the difference betweenfit = minimization of the difference between the observed covariance matrix and thethe observed covariance matrix and the estimated covariance matrix.estimated covariance matrix. Research objective: testing and confirmation whereResearch objective: testing and confirmation where prior theory is strong.prior theory is strong. • Assumes normality of data distribution,Assumes normality of data distribution, homoscedasticity, large sample size, etc.homoscedasticity, large sample size, etc. • Only reliable and valid variance is useful for testingOnly reliable and valid variance is useful for testing causal relationships.causal relationships. • A “full information approach” which means smallA “full information approach” which means small changes in model specification can result inchanges in model specification can result in substantial changes in model fit.substantial changes in model fit.
  • 9. PLS-SEMPLS-SEM – objective is to maximize the– objective is to maximize the explained variance of the endogenousexplained variance of the endogenous latent constructs (dependent variables).latent constructs (dependent variables). Research objective: theory development andResearch objective: theory development and prediction.prediction. • Normality of data distribution not assumed.Normality of data distribution not assumed. • Can be used with fewer indicator variables (1 or 2)Can be used with fewer indicator variables (1 or 2) per construct.per construct. • Models can include a larger number of indicatorModels can include a larger number of indicator variables (CB-SEM difficult with 50+ items).variables (CB-SEM difficult with 50+ items). • Preferred alternative with formative constructs.Preferred alternative with formative constructs. • Assumes all measured variance (including error) isAssumes all measured variance (including error) is useful for explanation/prediction of causaluseful for explanation/prediction of causal relationships.relationships.
  • 10. PLS Path ModelPLS Path Model X1 X2 X3 X4 X5 X6 X7 Y2 Y1 Y3 W1 W2 W3 W4 W5 W6 W7 P1 P2 IndicatorVariable LatentVariableLatent ConstructLatent Construct
  • 12. Should SEM Be Used?Should SEM Be Used? Considerations:Considerations: 1.1.The VariateThe Variate 2.2.Multivariate MeasurementMultivariate Measurement 3.3.Measurement ScalesMeasurement Scales 4.4.CodingCoding 5.5.Data DistributionData Distribution
  • 13. Variate =Variate = a linear combination of several variables,a linear combination of several variables, often referred to as the fundamental building blockoften referred to as the fundamental building block of multivariate analysis.of multivariate analysis. Variate value = xVariate value = x11ww11 + x+ x22ww22 + . . . + x+ . . . + xkkwwkk Data MatrixData Matrix
  • 14. Multiple Regression ModelMultiple Regression Model Variate = xVariate = x11 + x+ x22 + x+ xkk + e+ e
  • 15. Multivariate MeasurementMultivariate Measurement Measurement = the process of assigning numbers to aMeasurement = the process of assigning numbers to a variable/construct based on a set of rules that are used to assignvariable/construct based on a set of rules that are used to assign the numbers to the variable in a way that accurately represents thethe numbers to the variable in a way that accurately represents the variable.variable. When variables are difficult to measure, one approach is toWhen variables are difficult to measure, one approach is to measure them indirectly with proxy variables. If the concept ismeasure them indirectly with proxy variables. If the concept is restaurant satisfaction, for example, then the several proxyrestaurant satisfaction, for example, then the several proxy variables that could be used to measure this might be:variables that could be used to measure this might be: 1.1.The taste of the food was excellent.The taste of the food was excellent. 2.2.The speed of service met my expectations.The speed of service met my expectations. 3.3.The wait staff was very knowledgeable about the menu items.The wait staff was very knowledgeable about the menu items. 4.4.The background music in the restaurant was pleasant.The background music in the restaurant was pleasant. 5.5.The meal was a good value compared to the price.The meal was a good value compared to the price. Multivariate measurement involves using several variables toMultivariate measurement involves using several variables to indirectly measure a concept, as in the restaurant satisfactionindirectly measure a concept, as in the restaurant satisfaction example above. It also enables researchers to account for the errorexample above. It also enables researchers to account for the error in data.in data.
  • 16. Data Characteristics – PLS-SEMData Characteristics – PLS-SEM Sample Size • No identification issues with small sample sizes (35-50). • Generally achieves high levels of statistical power with small sample sizes (35-50). • Larger sample sizes (250+) increase the precision (i.e., consistency) of PLS-SEM estimations. Data Distribution • No distributional assumptions (PLS-SEM is a non-parametric method; works well with extremely non-normal data). Missing Values • Highly robust as long as missing values are below reasonable level (e.g., up to 15% randomly missing data points). • Use mean replacement (sub-groups) and nearest neighbor. Measurement Scales • Works with metric, quasi-metric (ordinal) scaled data, and binary coded variables (~only exogenous variables). • Limitations when using categorical data to measure endogenous latent variables. • Suggest using binary variables for multi-group comparisons.
  • 17. Model Characteristics – PLS-SEMModel Characteristics – PLS-SEM Number of Items in each Construct Measurement Model • Handles constructs measured with single and multi-item measures. • Easily handles 50+ items (CB-SEM does not). • Single item scales OK. Relationships between Latent Constructs and their Indicators • Easily incorporates reflective and formative measurement models. Model Complexity • Handles complex models with many structural model relationships. • Larger numbers of indicators are helpful in reducing “consistency at large”. Model Set-up • Causal loops not allowed in the structural model (only recursive models).
  • 18. Algorithm Properties – PLS-SEMAlgorithm Properties – PLS-SEM Objective • Minimizes the amount of unexplained variance (i.e., maximizes the R² values). Efficiency • Converges after a few iterations (even in situations with complex models and/or large sets of data) to the global optimum solution; efficient algorithm. Latent Construct Scores • Estimated as linear combinations of their indicators. • Used for predictive purposes. • Can be used as input for subsequent analyses. • Not affected by data inadequacies. Parameter Estimates • Structural model relationships underestimated (PLS- SEM bias). • Measurement model relationships overestimated (PLS- SEM bias). • Consistency at large (minimal impact with N = 250+). • High levels of statistical power with smaller sample sizes (35-50).
  • 19. Model Evaluation Issues – PLS-SEMModel Evaluation Issues – PLS-SEM Evaluation of Overall Model • No global goodness-of-fit criterion. Evaluation of Measurement Models • Reflective measurement models: reliability and validity assessments by multiple criteria. • Formative measurement models: validity assessment, significance of path coefficients, multicollinearity. Evaluation of Structural Model • Significance of path coefficients, coefficient of determination (R²), pseudo F-test (f² effect size), predictive relevance (Q² and q² effect size). Additional Analyses • Mediating effects • Impact-performance matrix analysis • Higher-order constructs • Multi-group analysis • Measurement mode invariance • Moderating effects • Uncovering unobserved heterogeneity: FIMIX-PLS
  • 20. Rules of Thumb: PLS-SEM or CB-SEM?Rules of Thumb: PLS-SEM or CB-SEM? Use PLS-SEM when:Use PLS-SEM when: •The goal is predicting key target constructs or identifyingThe goal is predicting key target constructs or identifying key “driver” constructs.key “driver” constructs. •Formative constructs are easy to use in the structuralFormative constructs are easy to use in the structural model. Note that formative measures can also be used withmodel. Note that formative measures can also be used with CB-SEM, but doing so requires construct specificationCB-SEM, but doing so requires construct specification modifications (e.g., the construct must include bothmodifications (e.g., the construct must include both formative and reflective indicators to meet identificationformative and reflective indicators to meet identification requirements).requirements). •The structural model is complex (many constructs andThe structural model is complex (many constructs and many indicators).many indicators). •The sample size is small and/or the data is not-normallyThe sample size is small and/or the data is not-normally distributed, or exhibits heteroskedasticity.distributed, or exhibits heteroskedasticity. •The plan is to use latent variable scores in subsequentThe plan is to use latent variable scores in subsequent analyses.analyses.
  • 21. Use CB-SEM when:Use CB-SEM when: •The goal is theory testing, theoryThe goal is theory testing, theory confirmation, or the comparison of alternativeconfirmation, or the comparison of alternative theories.theories. •Error terms require additional specification,Error terms require additional specification, such as the covariation.such as the covariation. •Structural model has non-recursiveStructural model has non-recursive relationships.relationships. •Research requires a global goodness of fitResearch requires a global goodness of fit criterion.criterion. Rules of Thumb: PLS-SEM or CB-SEMRules of Thumb: PLS-SEM or CB-SEM
  • 22. Specifying the Structural Model Specifying the Measurement Models Data Collection and Examination PLS-SEM Model Estimation Assessing PLS-SEM Results for Reflective Measurement Models Assessing PLS-SEM Results for Formative Measurement Models Assessing PLS-SEM Results for the Structural Model Interpretation of Results and Drawing Conclusions Stage 1 Stage 2 Stage 3 Stage 4 Stage 5a Stage 5b Stage 6 Stage 7 Systematic Process for applying PLS-SEMSystematic Process for applying PLS-SEM
  • 23. Should You Use SEM?Should You Use SEM? Journal reviewers rate SEM papers more favorablyJournal reviewers rate SEM papers more favorably on key manuscript attributes . .on key manuscript attributes . . .. Mean ScoreMean Score AttributesAttributes SEMSEM No SEMNo SEM p-valuep-value Topic RelevanceTopic Relevance 4.24.2 3.83.8 .182.182 Research MethodsResearch Methods 3.53.5 2.72.7 .006.006 Data AnalysisData Analysis 3.53.5 2.82.8 .025.025 ConceptualizationConceptualization 3.13.1 2.52.5 .018.018 Writing QualityWriting Quality 3.93.9 3.03.0 .006.006 ContributionContribution 3.13.1 2.82.8 .328.328 Note: scores based on 5-point scale, with 5 = more favorableNote: scores based on 5-point scale, with 5 = more favorable Source: Babin, Hair & Boles, Publishing Research in Marketing JournalsSource: Babin, Hair & Boles, Publishing Research in Marketing Journals Using Structural Equation Modeling,Using Structural Equation Modeling, Journal of Marketing Theory andJournal of Marketing Theory and PracticePractice, Vol. 16, No. 4, 2008, pp. 281-288., Vol. 16, No. 4, 2008, pp. 281-288.
  • 24. PLS-SEM Stages 1, 2 & 3: Design IssuesPLS-SEM Stages 1, 2 & 3: Design Issues 1.1. Scale MeasuresScale Measures • Scale selection/designScale selection/design • Reflective vs. FormativeReflective vs. Formative 2.2. Common Methods VarianceCommon Methods Variance • Harmon Single Factor TestHarmon Single Factor Test • Common Latent FactorCommon Latent Factor • Marker ConstructMarker Construct 3.3. Missing Data, outliers, etc.Missing Data, outliers, etc.
  • 25. Scale DesignScale Design 1.1. Revise/UpdateRevise/Update • Established scales – how old?Established scales – how old? • Double barreled; negatively wordedDouble barreled; negatively worded 2.2. Number of Scale PointsNumber of Scale Points • More scale points = greater variabilityMore scale points = greater variability 3.3. Single Item ScalesSingle Item Scales
  • 26. Single Item Scales ?Single Item Scales ? Single-item measures Multi-item measures Theoretical Aspects Reliability • no adjustment of random error • assessing reliability is problematic • allows for random error adjustment • determination of reliability by means of internal consistency Validity • lower construct validity – does not account for all facets of a construct • decreased criterion validity • assessing validity is more problematic • higher construct validity – different facets of a construct can be captured • increased criterion validity • validity measures based on item-to-item correlations Partition- ing • Partitioning solely based on the single variable • more precise partition • possible Missing Values • very difficult to resolve • imputation methods based on correlations between indicators of the same construct Use in Academic Research • very uncommon (publication problematic) • generally accepted
  • 27. Single Item Scales ?Single Item Scales ? Single-item measures Multi-item measures Practical Aspects Costs • lower costs associated with scale development, questioning, and data analysis • higher costs associated with scale development, questioning, and data analysis Non- response • increased survey response rate • lower item nonresponse • lower survey response rate • higher item nonresponse Burden of Question -ing • little burden: simple, fast, and comprehensible • increased burden: longer, likely more boring and tiring
  • 28. Reflective (Scale) Versus FormativeReflective (Scale) Versus Formative (Index) Operationalization of Constructs(Index) Operationalization of Constructs A central research question in social science research, particularly marketingA central research question in social science research, particularly marketing and MIS, focuses on the operationalization of complex constructs:and MIS, focuses on the operationalization of complex constructs: Are indicators causing or being caused byAre indicators causing or being caused by the latent variable/construct measured by them?the latent variable/construct measured by them? Construct Indicator 1 Indicator 2 Indicator 3 Construct Indicator 1 Indicator 2 Indicator 3 ? Changes in the latent variableChanges in the latent variable directly cause changes in thedirectly cause changes in the assigned indicatorsassigned indicators Changes in one or more of theChanges in one or more of the indicators causes changes inindicators causes changes in the latent variablethe latent variable
  • 29. Example: Reflective vs. Formative WorldExample: Reflective vs. Formative World ViewView DrunkennessDrunkenness Can’t walk a straightCan’t walk a straight lineline Smells of alcoholSmells of alcohol Slurred speechSlurred speech
  • 30. Example: Reflective vs. Formative World ViewExample: Reflective vs. Formative World View DrunkennessDrunkenness Consumption of beerConsumption of beer Consumption of wineConsumption of wine Consumption of hardConsumption of hard liquorliquor
  • 31. Basic Difference Between Reflective andBasic Difference Between Reflective and Formative Measurement ApproachesFormative Measurement Approaches ““Whereas reflective indicators are essentially interchangeable (andWhereas reflective indicators are essentially interchangeable (and therefore the removal of an item does not change the essentialtherefore the removal of an item does not change the essential nature of the underlying construct), with formative indicatorsnature of the underlying construct), with formative indicators ‘omitting an indicator is omitting a part of the construct’.”‘omitting an indicator is omitting a part of the construct’.” (DIAMANTOPOULOS/WINKLHOFER, 2001, p. 271)(DIAMANTOPOULOS/WINKLHOFER, 2001, p. 271) TheThe reflective measurementreflective measurement approachapproach focuses onfocuses on maximizingmaximizing thethe overlapoverlap between interchangeable indicatorsbetween interchangeable indicators TheThe formative measurementformative measurement approachapproach generallygenerally minimizesminimizes thethe overlapoverlap between complementary indicatorsbetween complementary indicators ConstructConstruct domaindomain ConstructConstruct domaindomain
  • 32. Exercise: Satisfaction in Hotels as FormativeExercise: Satisfaction in Hotels as Formative and Reflective Operationalized Constructand Reflective Operationalized Construct I am comfortable withI am comfortable with this hotelthis hotel I appreciate this hotelI appreciate this hotel I am looking forward toI am looking forward to staying overnight instaying overnight in this hotelthis hotel The rooms‘ furnishingsThe rooms‘ furnishings are goodare good The rooms are quietThe rooms are quiet The hotel‘s personnelThe hotel‘s personnel are friendlyare friendly The hotel’s service isThe hotel’s service is goodgood The hotel’s cuisine isThe hotel’s cuisine is goodgood The hotel’s recreationThe hotel’s recreation offerings are goodofferings are good The rooms are cleanThe rooms are clean Taking everything intoTaking everything into account, I am satisfiedaccount, I am satisfied with this hotelwith this hotel The hotel is low-pricedThe hotel is low-priced SatisfactionSatisfaction with Hotelswith Hotels
  • 33. Formative Constructs – Two TypesFormative Constructs – Two Types 1.1. Composite (formative) constructsComposite (formative) constructs –– indicators completelyindicators completely determine the “latent” construct. They share similarities becausedetermine the “latent” construct. They share similarities because they define a composite variable but may or may not havethey define a composite variable but may or may not have conceptual unity. In assessing validity, indicators are notconceptual unity. In assessing validity, indicators are not interchangeable and should not be eliminated, because removinginterchangeable and should not be eliminated, because removing an indicator will likely change the nature of the latent construct.an indicator will likely change the nature of the latent construct. 2.2. Causal constructsCausal constructs –– indicators have conceptual unity in thatindicators have conceptual unity in that all variables should correspond to the definition of the concept. Inall variables should correspond to the definition of the concept. In assessing validity some of the indicators may beassessing validity some of the indicators may be interchangeable, and also can be eliminated.interchangeable, and also can be eliminated. Bollen, K.A. (2011), Evaluating Effect, Composite, and Causal Indicators inBollen, K.A. (2011), Evaluating Effect, Composite, and Causal Indicators in Structural Equations Models,Structural Equations Models, MIS QuarterlyMIS Quarterly, Vol. 35, No. 2, pp. 359-372., Vol. 35, No. 2, pp. 359-372.
  • 35. Reflective Measurement Model Reflective Measurement Model Single-Item Construct Reflective Measurement Model Types of Measurement ModelsTypes of Measurement Models PLS-SEM ExamplePLS-SEM Example
  • 36. Indicators for SEM Model ConstructsIndicators for SEM Model Constructs Competence (COMP) comp_1 [company] is a top competitor in its market. comp_2 As far as I know, [company] is recognized world-wide. comp_3 I believe that [company] performs at a premium level. Likeability (LIKE) like_1 [company] is a company that I can better identify with than other companies. like_2 [company] is a company that I would regret more not having if it no longer existed than I would other companies. like_3 I regard [company] as a likeable company. Customer Loyalty (CUSL) cusl_1 I would recommend [company] to friends and relatives. cusl_2 If I had to choose again, I would chose [company] as my mobile phone services provider. cusl_3 I will remain a customer of [company] in the future. Satisfaction (CUSA) cusa If you consider your experiences with [company] how satisfied are you with [company]?
  • 37. Data Matrix for Indicator VariablesData Matrix for Indicator Variables Column Number and Variable Name Case Number 1 2 3 4 5 6 7 8 9 10 comp_1 comp_2 comp_3 like_1 like_2 like_3 cusl_1 cusl_2 cusl_3 cusa 1 4 5 5 3 1 2 5 3 3 5 2 6 7 6 6 6 6 7 7 7 7 . . . 344 6 5 6 6 7 5 7 7 7 7
  • 38. Getting Started with the SmartPLS SoftwareGetting Started with the SmartPLS Software The next slide shows the graphical interface for the SmartPLS software, with the simple model already drawn. We describe in the following slides how to set up this model using the SmartPLS software program. Before you draw your model, you need to have data that serves as the basis for running the model. The data we will use to run our example PLS model can be downloaded either as comma separated values (.csv) or text (.txt) data files at the following URL: http://www.smartpls.de/cr/. When you get to the website scroll down to the Corporate Reputation Example where it says Click on the following links to downloadClick on the following links to download filesfiles.. SmartPLS can use both data file formats (i.e., .csv or .txt). Follow the onscreen instructions to save one of these two files on your hard drive. Click on Save Target As… to save the data to a folder on your hard drive, and then Close. Now go to the folder where you previously downloaded and saved the SmartPLS software on your computer. Click on the file that runs SmartPLS ( ) and then on the Run tab to start the software. You are now ready to create a new SmartPLS project.
  • 40. Example with Names and Data AssignedExample with Names and Data Assigned
  • 41. Brief Instructions: Using SmartPLSBrief Instructions: Using SmartPLS 1.1. Load SmartPLS software – click onLoad SmartPLS software – click on 2.2. Create your new project – assign name and data.Create your new project – assign name and data. 3.3. Double-click to get Menu Bar.Double-click to get Menu Bar. 4.4. Draw model – see options below:Draw model – see options below: • Insertion mode =Insertion mode = • Selection mode =Selection mode = • Connection mode =Connection mode = 5.5. Save model.Save model. 6.6. Click on calculate icon and select PLS algorithm onClick on calculate icon and select PLS algorithm on the Pull-Down menu. Now accept the default options bythe Pull-Down menu. Now accept the default options by clicking Finish.clicking Finish.
  • 42. To create a new project, click on → File → New → Create New Project.To create a new project, click on → File → New → Create New Project. The screen below will appear. Type a name in the window. ClickThe screen below will appear. Type a name in the window. Click Next.Next.
  • 43. You now need to assign a data file to the project, in our case, data.csv (orYou now need to assign a data file to the project, in our case, data.csv (or whatever name you gave to the data you downloaded). To do so, click onwhatever name you gave to the data you downloaded). To do so, click on the dots tab (…) at the right side of the window, find and highlight your datathe dots tab (…) at the right side of the window, find and highlight your data folder, and click Open to select your data. Once you have specified the datafolder, and click Open to select your data. Once you have specified the data file, click on Finish.file, click on Finish.
  • 44. SmartPLS Software OptionsSmartPLS Software Options Find your new project in window, expand list of projects to get projectFind your new project in window, expand list of projects to get project details (see below), click on the .splsm file for your projectdetails (see below), click on the .splsm file for your project
  • 45. Double click on your new model to get the menuDouble click on your new model to get the menu bar to appear at the top of the screen.bar to appear at the top of the screen. Selection modeSelection mode Draw constructsDraw constructs Draw structural pathsDraw structural paths
  • 46. Initial Structural Model – No Indicator VariablesInitial Structural Model – No Indicator Variables
  • 47. Structural Model with Names and PathsStructural Model with Names and Paths
  • 48. Name Constructs, Align Indicators, Etc. . . .Name Constructs, Align Indicators, Etc. . . .  Start calculation Change reflective to formative Show measurement model Rename Construct Hide used indicators
  • 49. How to Run SmartPLS SoftwareHow to Run SmartPLS Software
  • 50. Default Settings for Example – Click Finish to runDefault Settings for Example – Click Finish to run Trade-off in missing valueTrade-off in missing value treatment:treatment: Case wise replacement canCase wise replacement can greatly reduce the number ofgreatly reduce the number of cases but sample meancases but sample mean imputation reduces variables’imputation reduces variables’ variance.variance.  Preferred approach to dealPreferred approach to deal with missing data is combinationwith missing data is combination of sub-group and nearestof sub-group and nearest neighbor, or use EM imputationneighbor, or use EM imputation using SPSS.using SPSS. Always use path weighting schemeAlways use path weighting scheme
  • 51. PLS Results for ExamplePLS Results for Example
  • 52. SmartPLS Calculation Reports – OverviewSmartPLS Calculation Reports – Overview
  • 53. Quality Criteria Report – SmartPLSQuality Criteria Report – SmartPLS The composite reliability isThe composite reliability is excellent – almost .90 for allexcellent – almost .90 for all three constructs.three constructs. The AVEs for all three constructs areThe AVEs for all three constructs are well above .50.well above .50.
  • 54. Summary of PLS-SEM FindingsSummary of PLS-SEM Findings 1.1.The direct path from COMP to CUSA is 0.162 and the direct pathThe direct path from COMP to CUSA is 0.162 and the direct path from COMP to CUSL is 0.009.from COMP to CUSL is 0.009. 2.2.The direct path from LIKE to CUSA is 0.424 and the direct pathThe direct path from LIKE to CUSA is 0.424 and the direct path from LIKE to CUSL is 0.342.from LIKE to CUSL is 0.342. 3.3.The direct path from CUSA to CUSL is 0.504.The direct path from CUSA to CUSL is 0.504. 4.4.Overall, the model predicts 29.5% of the variance in CUSA, andOverall, the model predicts 29.5% of the variance in CUSA, and 56.2% of the variance in CUSL.56.2% of the variance in CUSL. 5.5.Reliability of constructs is excellent.Reliability of constructs is excellent. 6.6.Constructs achieve convergent validity (AVE > 0.50)Constructs achieve convergent validity (AVE > 0.50) To determine significance levels, you must run BootstrappingTo determine significance levels, you must run Bootstrapping option. Look for under the calculate option.option. Look for under the calculate option.