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Conditional Mediation (CoMe) Models with PLS-SEM: An Update, Review, and Best-Practice Recommendations

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TL;DR

This paper provides a comprehensive guide to implementing conditional mediation models using PLS-SEM, including conceptual foundations, step-by-step procedures, and interpretation guidelines, demonstrated through a luxury counterfeit purchase case study. It emphasizes CoMe's potential to reveal complex relational dynamics and offers best-practice recommendations to promote its broader adoption across disciplines.

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Partial least squares structural equation modeling (PLS-SEM) has gained prominence across disciplines for evaluating structural relationships among latent variables. Despite its widespread use, the application of conditional mediation (CoMe) modeling remains underutilized. This paper addresses this gap by offering a comprehensive guide on implementing CoMe models using PLS-SEM. We outline the conceptual foundations of CoMe, present a detailed step-by-step analytical procedure to apply CoMe, and provide practical interpretation guidelines. A case study of luxury counterfeit purchases illustrates the application of CoMe and demonstrates its enhanced ability to uncover complex relational dynamics. Additionally, we propose best-practice guidelines for researchers employing CoMe within PLS-SEM. By highlighting the value of CoMe in generating nuanced theoretical insights, this paper aims to encourage its wider adoption in empirical research accross disciplines.

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  • Research Article
  • Cite Count Icon 368
  • 10.54055/ejtr.v6i2.134
Hair, J. F. Jr., Hult, G. T. M., Ringle, C. M., Sarstedt, M. (2014). A Primer on Partial Least Squares Structural Equation Modeling (PLS-SEM). Sage Publications. ISBN: 978-1-4522-1744-4. 307 pp.
  • Oct 1, 2013
  • European Journal of Tourism Research
  • Lawrence Fong + 1 more

Primer on Partial Least Squares Structural Equation Modeling (PLS-SEM)In view of its essential role in knowledge creation, multivariate data analysis prevails in the social sciences literature. The field of tourism is not an exception, specifically in the widely adoption of structural equation modeling (SEM), a multivariate technique, by tourism researchers over the past decade. While there are two major types of SEM including covariance-based SEM (CB-SEM) and variance-based SEM (PLS-SEM), the former dominated previous tourism research. However, increasing use of PLS-SEM in tourism research has been witnessed in recent years. This upward trend is likely to persist in the near future given the growing popularity of PLS-SEM in other social sciences domains like marketing, strategic management, and management information system, as specified in the preface of the book. Indeed, PLS-SEM, in relative to CB- SEM, provides more flexibility in handling of data. For instance, PLS-SEM is well-suited for accommodating small sample sizes and complex model, fortesting a model containing both formative and reflective constructs, and for handling single-item measures. To this end, the timely introduction of the book A Primer on Partial Least Squares Structural Equation Modeling (PLS-SEM) helps tourism researchers stand at the front edge of the SEM technique and make effective use of the PLS-SEM in data analysis. Additionally, the book illustrates the application of PLS-SEM with a free downloadable software namely SmartPLS which is essential to extend the application of PLS-SEM in tourism research.Authored by Hair, Hult, Ringo, and Sarstedt, the book consists of eight chapters. To equip the readers with the basic knowledge of PLS- SEM, Chapter 1 delineates the meaning of SEM and its relationship with multivariate data analysis, followed by a description of the major elements in multivariate data analysis. Then the basic elements of PLS-SEM are explained. Finally, PLS-SEM is distinguished from its counterpart namely CB-SEM while the major characteristics of PLS-SEM and the conditions where the PLS-SEM are more adequate than CB-SEM and vice versa are discussed. To step in the application of PLS- SEM, Chapter 2 firstly explicates the concepts in structural model specification including mediation, moderation, and higher-order models. Then specification of measurement model is explained with a special focus on the differences between reflective and formative measures. After that, the issues that need to be addressed after data collection are discussed. The chapter ends by creating the model in the SmartPLS is illustrated. With an established model, Chapter 3 focuses on model estimation. The chapter explains the algorithm underpinning the estimation and the statistical properties of the PLS-SEM method, as well as the options and parameter settings for running the algorithm. Following that, the issues about interpretation of results are explained. The final section illustrates the execution of model estimation in the SmartPLS.Based on the model estimation, empirical measures of the measurement and structural models are derived, where evaluation of the models takes place. Chapter 4 exhibits the major steps in model evaluation in the beginning. Thereafter, the chapter explains the evaluation of reflective measurement models according to three major criteria including internal consistency reliability, convergent validity, and discriminant validity, followed by an illustration with the SmartPLS. Chapter 5 explains the assessment of formative measurement models with respect to the criteria of convergent validity, collinearity, and significance and relevance of the formative indicators. The chapter also elucidates the basic concepts of bootstrapping which is used to examine the statistical significance of estimates in PLS- SEM. An illustration of the assessment of formative measurement model in the SmartPLS follows. Chapter 6 continues the topic on model evaluation by focusing on the assessment of structural model. …

  • Research Article
  • Cite Count Icon 590
  • 10.1108/imr-04-2014-0148
A critical look at the use of SEM in international business research
  • May 9, 2016
  • International Marketing Review
  • Nicole Franziska Richter + 3 more

Purpose– Structural equation modeling (SEM) has been widely used to examine complex research models in international business and marketing research. While the covariance-based SEM (CB-SEM) approach is dominant, the authors argue that the field’s dynamic nature and the sometimes early stage of theory development more often require a partial least squares SEM (PLS-SEM) approach. The purpose of this paper is to critically review the application of SEM techniques in the field.Design/methodology/approach– The authors searched six journals with an international business (and marketing) focus (Management International Review,Journal of International Business Studies,Journal of International Management,International Marketing Review,Journal of World Business,International Business Review) from 1990 to 2013. The authors reviewed all articles that apply SEM, analyzed their research objectives and methodology choices, and assessed whether the PLS-SEM papers followed the best practices outlined in the past.Findings– Of the articles, 379 utilized CB-SEM and 45 PLS-SEM. The reasons for using PLS-SEM referred largely to sampling and data measurement issues and did not sufficiently build on the procedure’s benefits that stem from its design for predictive and exploratory purposes. Thus, the procedure’s key benefits, which might be fruitful for the theorizing process, are not being fully exploited. Furthermore, authors need to better follow best practices to truly advance theory building.Research limitations/implications– The authors examined a subset of journals in the field and did not include general management journals that publish international business and marketing-related studies. Fur-thermore, the authors found only limited use of PLS-SEM in the journals the authors considered relevant to the study.Originality/value– The study contributes to the literature by providing researchers seeking to adopt SEM as an analytical method with practical guidelines for making better choices concerning an appropriate SEM approach. Furthermore, based on a systematic review of current practices in the international business and marketing literature, the authors identify critical challenges in the selection and use of SEM procedures and offer concrete recommendations for better practice.

  • Research Article
  • Cite Count Icon 76
  • 10.15240/tul/001/2024-5-001
A comparative analysis of multivariate approaches for data analysis in management sciences
  • Mar 1, 2024
  • E+M Ekonomie a Management
  • Rizwan Raheem Ahmed + 3 more

The researchers use the SEM-based multivariate approach to analyze the data in different fields, including management sciences and economics. Partial least square structural equation modeling (PLS-SEM) and covariance-based structural equation modeling (CB-SEM) are powerful data analysis techniques. This paper aims to compare both models, their efficiencies and deficiencies, methodologies, procedures, and how to employ the models. The outcomes of this paper exhibited that the PLS-SEM is a technique that combines the strengths of structural equation modeling and partial least squares. It is imperative to know that the PLS-SEM is a powerful technique that can handle measurement error at the highest levels, trim and unbalanced datasets, and latent variables. It is beneficial for analyzing relationships among latent constructs that may not be candidly witnessed and might not be applied in situations where traditional SEM would be infeasible. However, the CB-SEM approach is a procedure that pools the strengths of both structural equation modeling and confirmatory factor analysis. The CB-SEM is a dominant multivariate technique that can grip multiple groups and indicators; it is beneficial for analyzing relationships among latent variables and multiple manifest variables, which can be directly observed. The paper concluded that the PLS-SEM is a more suitable technique for analyzing relations among latent constructs, generally for a small dataset, and the measurement error is high. However, the CB-SEM is suitable for analyzing compound latent and manifest constructs, mainly when the goal is to generalize results to specific population subgroups. The PLS-SEM and CB-SEM have specific efficiencies and deficiencies that determine which technique to use depending on resource availability, the research question, the dataset, and the available time.

  • Research Article
  • Cite Count Icon 635
  • 10.1108/jkm-05-2018-0322
Tips to use partial least squares structural equation modelling (PLS-SEM) in knowledge management
  • Dec 18, 2018
  • Journal of Knowledge Management
  • Gabriel Cepeda-Carrion + 2 more

PurposeStructural equation modelling (SEM) has been defined as the combination of latent variables and structural relationships. The partial least squares SEM (PLS-SEM) is used to estimate complex cause-effect relationship models with latent variables as the most salient research methods across a variety of disciplines, including knowledge management (KM). Following the path initiated by different domains in business research, this paper aims to examine how PLS-SEM has been applied in KM research, also providing some new guidelines how to improve PLS-SEM report analysis.Design/methodology/approachTo ensure an objective way to analyse relevant works in the field of KM, this study conducted a systematic literature review of 63 publications in three SSCI-indexed and specific KM journals between 2015 and 2017.FindingsOur results show that over the past three years, a significant amount of KM works has empirically used PLS-SEM. The findings also suggest that in light of recent developments of PLS-SEM reporting, some common misconceptions among KM researchers occurred mainly related to the reasons for using PLS-SEM, the purposes of PLS-SEM analysis, data characteristics, model characteristics and the evaluation of the structural models.Originality/valueThis study contributes to that vast KM literature by documenting the PLS-SEM-related problems and misconceptions. Therefore, it will shed light for better reports in PLS-SEM studies in the KM field.

  • Research Article
  • Cite Count Icon 1440
  • 10.1108/ijchm-10-2016-0568
An assessment of the use of partial least squares structural equation modeling (PLS-SEM) in hospitality research
  • Nov 21, 2017
  • International Journal of Contemporary Hospitality Management
  • Faizan Ali + 4 more

PurposeStructural equation modeling (SEM) depicts one of the most salient research methods across a variety of disciplines, including hospitality management. Although for many researchers, SEM is equivalent to carrying out covariance-based SEM, recent research advocates the use of partial least squares structural equation modeling (PLS-SEM) as an attractive alternative. The purpose of this paper is to systematically examine how PLS-SEM has been applied in major hospitality research journals with the aim of providing important guidance and, if necessary, opportunities for realignment in future applications. Because PLS-SEM in hospitality research is still in an early stage of development, critically examining its use holds considerable promise to counteract misapplications which otherwise might reinforce over time.Design/methodology/approachAll PLS-SEM studies published in the six SSCI-indexed hospitality management journals between 2001 and 2015 were reviewed. Tying in with the prior studies in the field, the review covers reasons for using PLS-SEM, data characteristics, model characteristics, the evaluation of the measurement models, the evaluation of the structural model, reporting and use of advanced analyses.FindingsCompared to other fields, the results show that several reporting practices are clearly above standard but still leave room for improvement, particularly regarding the consideration of state-of-the art metrics for measurement and structural model assessment. Furthermore, hospitality researchers seem to be unaware of the recent extensions of the PLS-SEM method, which clearly extend the scope of the analyses and help gaining more insights from the model and the data. As a result of this PLS-SEM application review in studies, this research presents guidelines on how to accurately use the method. These guidelines are important for the hospitality management and other disciplines to disseminate and ensure the rigor of PLS-SEM analyses and reporting practices.Research limitations/implicationsOnly articles published in the SSCI-indexed hospitality journals were examined and any journals indexed in other databases were not included. That is, while this research focused on the top-tier hospitality management journals, future research may widen the scope by considering hospitality management-related studies from other disciplines, such as tourism research or general management.Originality/valueThis study contributes to the literature by providing hospitality researchers with the updated guidelines for PLS-SEM use. Based on a systematic review of current practices in the hospitality literature, critical methodological issues when choosing and using the PLS-SEM were identified. The guidelines allow to improve future PLS-SEM studies and offer recommendations for using recent advances of the method.

  • Research Article
  • Cite Count Icon 67
  • 10.1080/00222216.2022.2066492
The potentials of partial least squares structural equation modeling (PLS-SEM) in leisure research
  • Jun 17, 2022
  • Journal of Leisure Research
  • Shintaro Kono + 1 more

Partial least squares structural equation modeling (PLS-SEM) is a multivariate statistical technique that helps examine complex relationships among a number of variables. Although its use has increased over decades, PLS-SEM remains underutilized in leisure research. The purpose of this methodological paper is to offer a primer on PLS-SEM for leisure researchers and to present a critical review of PLS-SEM’s strengths and limitations, while identifying potential applications of PLS-SEM across different sub-fields and theories in leisure research. Specifically, as to strengths, we discuss PLS-SEM’s sample size requirements, accommodation of formative and reflective measures, ability to model many variables and relationships, and statistical prediction capacity. In terms of its limitations, we review criticisms regarding PLS-SEM’s biased estimates as well as the lack of measurement error estimation and model fit assessment tools. Lastly, we provide recommendations for leisure researchers who wish to use PLS-SEM and journal editors and reviewers who assess PLS-SEM articles.

  • Research Article
  • Cite Count Icon 1895
  • 10.1016/j.rmal.2022.100027
Partial Least Squares Structural Equation Modeling (PLS-SEM) in second language and education research: Guidelines using an applied example
  • Aug 4, 2022
  • Research Methods in Applied Linguistics
  • Joseph Hair + 1 more

Partial Least Squares Structural Equation Modeling (PLS-SEM) in second language and education research: Guidelines using an applied example

  • Single Book
  • Cite Count Icon 107
  • 10.1201/9780429170362
Structural Equation Modelling with Partial Least Squares Using Stata and R
  • Feb 25, 2021
  • Mehmet Mehmetoglu + 1 more

Partial least squares structural equation modelling (PLS-SEM) is becoming a popular statistical framework in many fields and disciplines of the social sciences. The main reason for this popularity is that PLS-SEM can be used to estimate models including latent variables, observed variables, or a combination of these. The popularity of PLS-SEM is predicted to increase even more as a result of the development of new and more robust estimation approaches, such as consistent PLS-SEM. The traditional and modern estimation methods for PLS-SEM are now readily facilitated by both open-source and commercial software packages. This book presents PLS-SEM as a useful practical statistical toolbox that can be used for estimating many different types of research models. In so doing, the authors provide the necessary technical prerequisites and theoretical treatment of various aspects of PLS-SEM prior to practical applications. What makes the book unique is the fact that it thoroughly explains and extensively uses comprehensive Stata (plssem) and R (cSEM and plspm) packages for carrying out PLS-SEM analysis. The book aims to help the reader understand the mechanics behind PLS-SEM as well as performing it for publication purposes. Features: Intuitive and technical explanations of PLS-SEM methods Complete explanations of Stata and R packages Lots of example applications of the methodology Detailed interpretation of software output Reporting of a PLS-SEM study Github repository for supplementary book material The book is primarily aimed at researchers and graduate students from statistics, social science, psychology, and other disciplines. Technical details have been moved from the main body of the text into appendices, but it would be useful if the reader has a solid background in linear regression analysis.

  • Research Article
  • 10.35631/ijemp.830010
THEORETICAL JUSTIFICATION FOR USING PLS-SEM IN PUBLIC SECTOR RESEARCH ON INNOVATIVE WORK BEHAVIOR
  • Jun 4, 2025
  • International Journal of Entrepreneurship and Management Practices
  • Hani Sakina Mohamad Yusof + 2 more

This paper explores the use of Partial Least Squares Structural Equation Modeling (PLS-SEM) as a methodological approach in public sector research, specifically in studying innovative work behavior (IWB). Given the complexity of relationships within public administration, traditional regression-based methods often struggle to capture the nuances of employee behavior and organizational influences. PLS-SEM offers a flexible alternative, allowing researchers to analyze complex models, accommodate small sample sizes, and incorporate both formative and reflective constructs. This study reviews the increasing application of PLS-SEM in public sector research and highlights its methodological advantages. By examining previous studies, the paper demonstrates how PLS-SEM has been effectively utilized to explore factors influencing innovation, employee engagement, and organizational performance in government agencies. It also discusses best practices for applying PLS-SEM, including considerations for model assessment and reporting standards. The findings suggest that PLS-SEM enhances the analytical rigor of public administration research by enabling more precise predictions and theoretical advancements. This paper advocates for its wider adoption and provides recommendations for future research, including expanding theoretical models, applying PLS-SEM across different government contexts, and improving methodological standards to strengthen empirical evidence.

  • Book Chapter
  • 10.1108/978-1-80455-063-220231013
Index
  • Jan 25, 2023

Index

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  • Research Article
  • Cite Count Icon 237
  • 10.1108/tqm-06-2022-0197
A brief review of partial least squares structural equation modeling (PLS-SEM) use in quality management studies
  • Dec 2, 2022
  • The TQM Journal
  • Francesca Magno + 2 more

PurposePartial least squares structural equation modeling (PLS-SEM) has become an established social sciences multivariate analysis technique. Since quality management researchers also increasingly using PLS-SEM, this growing interest calls for guidance.Design/methodology/approachBased on established guidelines for applying PLS-SEM and evaluating the results, this research reviews 107 articles applying the method and published in eight leading quality management journals.FindingsThe use of PLS-SEM in quality management often only draws on limited information and analysis results. The discipline would benefit from the method's more comprehensive use by following established guidelines. Specifically, the use of predictive model assessment and more advanced PLS-SEM analyses harbors the potential to provide more detailed findings and conclusions when applying the method.Research limitations/implicationsThis research provides first insights into PLS-SEM's use in quality management. Future research should identify the key areas and the core quality management models that best support the method's capabilities and researchers' goals.Practical implicationsThe results of this analysis guide researchers who use the PLS-SEM method for their quality management studies.Originality/valueThis is the first article to systematically review the use of PLS-SEM in the quality management discipline.

  • Research Article
  • Cite Count Icon 138
  • 10.1111/bjet.12890
A review of using partial least square structural equation modeling in e‐learning research
  • Dec 4, 2019
  • British Journal of Educational Technology
  • Hung‐Ming Lin + 5 more

Partial least squares structural equation modeling (PLS‐SEM) has become a key multivariate statistical modeling technique that educational researchers frequently use. This paper reviews the uses of PLS‐SEM in 16 major e‐learning journals, and provides guidelines for improving the use of PLS‐SEM as well as recommendations for future applications in e‐learning research. A total of 53 articles using PLS‐SEM published in January 2009–August 2019 are reviewed. We assess these published applications in terms of the following key criteria: reasons for using PLS‐SEM, model characteristics, sample characteristics, model evaluations and reporting. Our results reveal that small sample size and nonnormal data are the first two major reasons for using PLS‐SEM. Moreover, we have identified how to extend the applications of PLS‐SEM in the e‐learning research field.

  • Research Article
  • Cite Count Icon 22606
  • 10.1108/ebr-11-2018-0203
When to use and how to report the results of PLS-SEM
  • Jan 14, 2019
  • European Business Review
  • Joseph F Hair + 3 more

Purpose The purpose of this paper is to provide a comprehensive, yet concise, overview of the considerations and metrics required for partial least squares structural equation modeling (PLS-SEM) analysis and result reporting. Preliminary considerations are summarized first, including reasons for choosing PLS-SEM, recommended sample size in selected contexts, distributional assumptions, use of secondary data, statistical power and the need for goodness-of-fit testing. Next, the metrics as well as the rules of thumb that should be applied to assess the PLS-SEM results are covered. Besides presenting established PLS-SEM evaluation criteria, the overview includes the following new guidelines: PLSpredict (i.e., a novel approach for assessing a model’s out-of-sample prediction), metrics for model comparisons, and several complementary methods for checking the results’ robustness. Design/methodology/approach This paper provides an overview of previously and recently proposed metrics as well as rules of thumb for evaluating the research results based on the application of PLS-SEM. Findings Most of the previously applied metrics for evaluating PLS-SEM results are still relevant. Nevertheless, scholars need to be knowledgeable about recently proposed metrics (e.g. model comparison criteria) and methods (e.g. endogeneity assessment, latent class analysis and PLSpredict), and when and how to apply them to extend their analyses. Research limitations/implications Methodological developments associated with PLS-SEM are rapidly emerging. The metrics reported in this paper are useful for current applications, but must always be up to date with the latest developments in the PLS-SEM method. Originality/value In light of more recent research and methodological developments in the PLS-SEM domain, guidelines for the method’s use need to be continuously extended and updated. This paper is the most current and comprehensive summary of the PLS-SEM method and the metrics applied to assess its solutions.

  • Research Article
  • Cite Count Icon 10673
  • 10.1108/ebr-10-2013-0128
Partial least squares structural equation modeling (PLS-SEM)
  • Mar 4, 2014
  • European Business Review
  • Joe F Hair Jr + 3 more

Purpose– The authors aim to present partial least squares (PLS) as an evolving approach to structural equation modeling (SEM), highlight its advantages and limitations and provide an overview of recent research on the method across various fields.Design/methodology/approach– In this review article, the authors merge literatures from the marketing, management, and management information systems fields to present the state-of-the art of PLS-SEM research. Furthermore, the authors meta-analyze recent review studies to shed light on popular reasons for PLS-SEM usage.Findings– PLS-SEM has experienced increasing dissemination in a variety of fields in recent years with nonnormal data, small sample sizes and the use of formative indicators being the most prominent reasons for its application. Recent methodological research has extended PLS-SEM's methodological toolbox to accommodate more complex model structures or handle data inadequacies such as heterogeneity.Research limitations/implications– While research on the PLS-SEM method has gained momentum during the last decade, there are ample research opportunities on subjects such as mediation or multigroup analysis, which warrant further attention.Originality/value– This article provides an introduction to PLS-SEM for researchers that have not yet been exposed to the method. The article is the first to meta-analyze reasons for PLS-SEM usage across the marketing, management, and management information systems fields. The cross-disciplinary review of recent research on the PLS-SEM method also makes this article useful for researchers interested in advanced concepts.

  • Research Article
  • Cite Count Icon 13
  • 10.1016/j.envres.2025.121358
Integrating partial least square structural equation modelling and machine learning for causal exploration of environmental phenomena.
  • Jun 1, 2025
  • Environmental research
  • Oluwafemi Adewole Adeyeye + 10 more

Integrating partial least square structural equation modelling and machine learning for causal exploration of environmental phenomena.

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