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Partial Least Squares Structural Equation Modeling (PLS-SEM) Using R: A Workbook
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This is an open-access step-by-step guide to analyzing PLS models using R, especially using the SEMinR package and with in-depth case studies.
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Wut, T. M., Lee, S. W., & Xu, J. (. (2022) · Education Sciences · doi:10.3390/educsci12050337 · Cited by 50
Khôi, N. H., & Le, A. N. H. (2023) · International Journal of Human-Computer Interaction · doi:10.1080/10447318.2023.2176987 · Cited by 59
Wang, X., Lai, I. K. W., Lu, Y. L., & Liu, X. (2023) · Journal of Hospitality Marketing & Management · doi:10.1080/19368623.2023.2196271 · Cited by 54
Xin, M., Liu, W., & Jian, L. (2024) · Electronic Commerce Research and Applications · doi:10.1016/j.elerap.2024.101437 · Cited by 65
Faraon, M., Rönkkö, K., Milrad, M., & Tsui, E. (2025) · Education and Information Technologies · doi:10.1007/s10639-025-13492-x · Cited by 50
Duong, C. D. (2023) · International Journal of Energy Sector Management · doi:10.1108/ijesm-09-2022-0017 · Cited by 49
Hoang, H., & Tan, T. L. (2023) · Heliyon · doi:10.1016/j.heliyon.2023.e19719 · Cited by 62
Koeswayo, P. S., Haryanto, H., & Handoyo, S. (2024) · Cogent Business & Management · doi:10.1080/23311975.2023.2296698 · Cited by 49
Alexandro, R. (2025) · Cogent Business & Management · doi:10.1080/23311975.2025.2528436 · Cited by 127
“…of the null hypothesis. this method allows for the determination of the strength and relevance of the relationships within the model. as supported by Hair et al. (2021), hypothesis testing through p-values is a crucial step in validating the model and ensuring the robustness of the research…”
Cutillas, A. L., Benolirao, E., Camasura, J., Golbin, R. A., Yamagishi, K. D., & Ocampo, L. A. (2023) · Education Sciences · doi:10.3390/educsci13070694 · Cited by 69
Aljaberi, M. A. A., Al-Sharafi, M. A., Uzir, M. U. H., Sabah, A., Ali, A. M., Lee, K., Alsalahi, A., Noman, S., & Lin, C. (2023) · Healthcare · doi:10.3390/healthcare11172418 · Cited by 48
Mandić, A., Walia, S. K., & Rasoolimanesh, S. M. (2023) · Journal of Sustainable Tourism · doi:10.1080/09669582.2023.2254950 · Cited by 48
Xueyun, Z., Mamun, A. A., Yang, Q. Y., Naznen, F., & Ali, M. H. (2024) · Journal of Workplace Behavioral Health · doi:10.1080/15555240.2024.2323636 · Cited by 68
Bilal, M., Zhao, X., Wu, J., Sohu, J. M., Akhtar, S., & Hassan, M. I. U. (2024) · Journal of the Knowledge Economy · doi:10.1007/s13132-024-02054-0 · Cited by 48
Chowdhury, S., Ren, S., & Richey, R. G., Jr. (2025) · International Journal of Production Economics · doi:10.1016/j.ijpe.2025.109519 · Cited by 57
Jayashree, S., Reza, M. N. H., Malarvizhi, C. A., Maheswari, H., Hosseini, Z., & Kasım, A. (2021) · Sustainability · doi:10.3390/su131810115 · Cited by 56
Roy, S., Basak, D., Bose, A., & Chowdhury, I. R. (2022) · Environmental Monitoring and Assessment · doi:10.1007/s10661-022-10722-4 · Cited by 53
Rizwan, A., & Mustafa, F. (2022) · Sustainability · doi:10.3390/su14127114 · Cited by 47
Wut, T. M., Lee, S. W., & Xu, J. B. (2022) · International Journal of Environmental Research and Public Health · doi:10.3390/ijerph191811799 · Cited by 47
Martínez‐Falcó, J., Marco‐Lajara, B., Zaragoza‐Sáez, P., & Millán‐Tudela, L. A. (2023) · Agribusiness · doi:10.1002/agr.21820 · Cited by 47
Gaskin, J. E., Ogbeibu, S., & Lowry, P. B. (2023) · Springer eBooks · doi:10.1007/978-3-031-37772-3_8 · Cited by 55
Factors influencing Fintech adoption for women in the post-Covid-19 pandemic
Igamo, A. M., Rachmat, R. A., Siregar, M. I., Gariba, M. I., Cherono, V., Wahyuni, A. S., & Setiawan, B. (2024) · Journal of Open Innovation Technology Market and Complexity · doi:10.1016/j.joitmc.2024.100236 · Cited by 77
Nguyen, T. T. T., Limbu, Y. B., Pham, L., & Zúñiga, M. Á. (2024) · Journal of Consumer Marketing · doi:10.1108/jcm-11-2022-5709 · Cited by 66
Iqbal, Q., Volpone, S. D., & Piwowar‐Sulej, K. (2024) · Human Resource Management · doi:10.1002/hrm.22249 · Cited by 54
Exploring the influence of ChatGPT on student academic success and career readiness
Dahri, N. A., Yahaya, N., & Al-Rahmi, W. M. (2024) · Education and Information Technologies · doi:10.1007/s10639-024-13148-2 · Cited by 69
“The structural model was tested to evaluate the hypothesized relationships between the constructs, with path coefficients and goodness-of-fit indices used to assess model performance (Hair et al., 2021).”
Impact of Smart Economy on Smart Areas and Mediation Effect of National Economy
Popova, Y., & Popovs, S. (2022) · Sustainability · doi:10.3390/su14052789 · Cited by 67
Wen, H., Zhang, L., Sheng, A., Li, M., & Guo, B. (2022) · Frontiers in Psychology · doi:10.3389/fpsyg.2022.863313 · Cited by 52
Ho, C.-I., Liu, Y., & Chen, M. (2022) · Cogent Business & Management · doi:10.1080/23311975.2022.2145673 · Cited by 71
Zheng, C., Ling, S., & Cho, D. (2023) · Behavioral Sciences · doi:10.3390/bs13080664 · Cited by 56
Fekih‐Romdhane, F., Daher‐Nashif, S., Stambouli, M., Alhuwailah, A., Helmy, M. S., Shuwiekh, H. A. M., Lemine, C. M. F. M., RADWAN, E. S., Saquib, J., Saquib, N., et al. (2023) · BMC Public Health · doi:10.1186/s12889-023-16622-7 · Cited by 50
Wei, W., Önder, İ., & Uysal, M. (2024) · Current Issues in Tourism · doi:10.1080/13683500.2023.2296587 · Cited by 58
Mashat, R. M., Abourokbah, S. H., & Salam, M. A. (2024) · Sustainability · doi:10.3390/su16062250 · Cited by 46
PLS-SEM and reflective constructs: A response to recent criticism and a constructive path forward
Guenther, P., Guenther, M., Ringle, C. M., Zaefarian, G., & Cartwright, S. (2025) · Industrial Marketing Management · doi:10.1016/j.indmarman.2025.05.003 · Cited by 70
Self-citationPham, Q. T., Khương, N. V., Anh, N. D. C., Hanh, N. T. X., Thi, V. H. A., Tram, T. N. B., & Han, C. G. (2022) · Economies · doi:10.3390/economies10040083 · Cited by 80
Lontchi, C. B., Yang, B., & Su, Y. (2022) · Sustainability · doi:10.3390/su142215093 · Cited by 73
Li, X., & Zhu, W. (2022) · Frontiers in Psychology · doi:10.3389/fpsyg.2022.1054691 · Cited by 45
Mahmood, F., & Nasir, N. (2023) · Environmental Science and Pollution Research · doi:10.1007/s11356-023-28541-6 · Cited by 45
Zhan, Y., Ahmad, S. F., Irshad, M., Al‐Razgan, M., Awwad, E. M., Ali, Y. A., & Ahmad, A. Y. A. B. (2023) · Heliyon · doi:10.1016/j.heliyon.2023.e22947 · Cited by 47
RetractedMoqaddamerad, S., & Ali, M. (2023) · Technological Forecasting and Social Change · doi:10.1016/j.techfore.2023.123095 · Cited by 49
Tosun, P., Uslu, A., & Erul, E. (2024) · Current Issues in Tourism · doi:10.1080/13683500.2024.2316857 · Cited by 48
Rojas, M. G. A., Saldanha, T. J. V., Kathuria, A., Khuntia, J., & Boh, W. F. (2024) · Information Systems Research · doi:10.1287/isre.2021.0096 · Cited by 51
Mansoor, S., Rahman, S. M., & Bowden, J. (2024) · Journal of Consumer Behaviour · doi:10.1002/cb.2353 · Cited by 65
Liu, X., Kim, T.-H., & Lee, M. (2025) · Sustainability · doi:10.3390/su17094106 · Cited by 82
Kim, H. (2021) · Journal of theoretical and applied electronic commerce research · doi:10.3390/jtaer16070147 · Cited by 50
Cano‐Lozano, M. C., Contreras, L., Navas-Martínez, M. J., León, S. P., & Rodríguez‐Díaz, F. J. (2023) · The European Journal of Psychology Applied to Legal Context · doi:10.5093/ejpalc2023a2 · Cited by 45
Flecha-Ortiz, J. A., Feliberty-Lugo, V., Santos-Corrada, M., Lopez, E., & Dones, V. (2023) · Journal of Interactive Advertising · doi:10.1080/15252019.2023.2195403 · Cited by 44
Li, Y., Gan, Z., & Zheng, B. (2025) · Information Systems Frontiers · doi:10.1007/s10796-023-10438-x · Cited by 47
Khan, M., Parvaiz, G. S., Ali, A., Jehangir, M., Hassan, N., & Bae, J. (2022) · Sustainability · doi:10.3390/su14116917 · Cited by 52
Dean, D., Rombach, M., de Koning, W., Vriesekoop, F., Satyajaya, W., Yuliandari, P., Anderson, M. J., Mongondry, P., Urbano, B., Luciano, C. A. G., et al. (2022) · Nutrients · doi:10.3390/nu14163292 · Cited by 44
Persada, S. F., Prasetyo, Y. T., Suryananda, X. V., Apriyansyah, B., Ong, A. K. S., Nadlifatin, R., Setiyati, E. A., Putra, R. A. K., Purnomo, A., Triangga, B., et al. (2022) · Sustainability · doi:10.3390/su142215288 · Cited by 44
Abate, M. C., He, H., Guo, C., Abrahamgeremew, B., & Huang, Y. (2023) · Sustainability · doi:10.3390/su15108410 · Cited by 44
Naidoo, D. T. (2023) · Frontiers in Computer Science · doi:10.3389/fcomp.2023.1227749 · Cited by 44
Khan, S., Zhang, Q., Khan, I. U., Khan, S. U., & Mehmood, S. (2024) · Current Issues in Tourism · doi:10.1080/13683500.2024.2325491 · Cited by 51
Sawang, S., Ng, P. Y., Kivits, R. A., Dsilva, J., & Locke, J. (2024) · Business Strategy and the Environment · doi:10.1002/bse.3831 · Cited by 51
Effects of circular economy practices on sustainable firm performance of green garments
Amin, M. B., Asaduzzaman, M., Debnath, G. C., Rahaman, M. A., & Oláh, J. (2024) · Oeconomia Copernicana · doi:10.24136/oc.2795 · Cited by 58
Dalmazi, M. D., Mandolfo, M., Guixeres, J., Alcañíz, M., & Lamberti, L. (2024) · International Journal of Contemporary Hospitality Management · doi:10.1108/ijchm-09-2023-1511 · Cited by 55
AI-Enabled Service Continuance: Roles of Trust and Privacy Risk
Salih, L., Tarhini, A., & Açikgöz, F. (2025) · Journal of Computer Information Systems · doi:10.1080/08874417.2025.2452544 · Cited by 59
Boakye, E. A., Zhao, H.-J., Coffie, C., & Asare-Kyire, L. (2023) · Technology Analysis & Strategic Management · doi:10.1080/09537325.2022.2163384 · Cited by 42
Xuan, V. N., Le, T. L., Hoa, N. M., & Dao, N. T. (2023) · Sustainability · doi:10.3390/su15032225 · Cited by 43
Alkhayyal, S., & Bajaba, S. M. (2023) · Sustainability · doi:10.3390/su15064724 · Cited by 53
Wang, Q., Amin, M. B., Gazi, M. A. I., Khan, W., Masud, A. A., & Alam, M. N. (2023) · IEEE Access · doi:10.1109/access.2023.3328775 · Cited by 73
Cantele, S., Landi, S., & Vernizzi, S. (2024) · Business Strategy and the Environment · doi:10.1002/bse.3872 · Cited by 51
Factors shaping green entrepreneurial intentions towards green innovation: an integrated model
Al‐Mamary, Y. H. (2025) · Future Business Journal · doi:10.1186/s43093-025-00443-8 · Cited by 61
Ngo, T. T. A., Tran, T. T., An, G. K., & Nguyen, P. T. (2025) · Computers in Human Behavior Reports · doi:10.1016/j.chbr.2025.100648 · Cited by 82
Moradi, H. (2025) · International Journal of Educational Technology in Higher Education · doi:10.1186/s41239-025-00530-4 · Cited by 43
Bhutto, M. Y., Khan, M., Ertz, M., & Sun, H. (2022) · Sustainability · doi:10.3390/su14053015 · Cited by 45
Pathak, K., Prakash, G., Jain, M., Agarwal, R., & Attri, R. (2024) · Business Strategy and the Environment · doi:10.1002/bse.3687 · Cited by 42
The Attitudes of K–12 Schools’ Teachers in Serbia towards the Potential of Artificial Intelligence
Kuleto, V., Ilić, M. P., Bucea-Manea-Țoniş, R., Ciocodeică, D.-F., Mihălcescu, H., & Mîndrescu, V. (2022) · Sustainability · doi:10.3390/su14148636 · Cited by 46
Gašić, D., & Berber, N. (2023) · Behavioral Science · doi:10.3390/bs13020131 · Cited by 50
Rombach, M., Dean, D., & Bitsch, V. (2023) · Foods · doi:10.3390/foods12061277 · Cited by 42
Taleb, T. S. T., Hashim, N. B., & Zakaria, N. (2023) · Sustainability · doi:10.3390/su15075776 · Cited by 42
Rabbi, M. F., Amin, M. B., Al‐Dalahmeh, M., & Abdullah, M. (2024) · International Review of Applied Sciences and Engineering · doi:10.1556/1848.2024.00834 · Cited by 52
Miah, M., Rahman, S. M. M., Biswas, S., Szabó-Szentgróti, G., & Walter, V. (2024) · International journal of organizational analysis · doi:10.1108/ijoa-04-2024-4462 · Cited by 53
Liu, J., Dai, Q., & Chen, J. (2024) · Education and Information Technologies · doi:10.1007/s10639-024-13105-z · Cited by 50
“Consequently, indicator loadings above 0.708 were recommended, as such values showed that the construct explained more than 50 percent of the variance, ensuring acceptable reliability (Hair et al., 2021) (p. 77).”
InfluentialLi, Z., Ceong, H., & Lee, S.-J. (2021) · Sustainability · doi:10.3390/su132112078 · Cited by 38
Verano-Tacoronte, D., Bolívar-Cruz, A., & Sosa-Cabrera, S. (2025) · Education and Information Technologies · doi:10.1007/s10639-025-13585-7 · Cited by 39
Aristovnik, A., Murko, E., & Ravšelj, D. (2022) · Administrative Sciences · doi:10.3390/admsci12010026 · Cited by 54
Naji, G. M. A., Isha, A. S. N., Alazzani, A., Brough, P. A., Saleem, M. S., Mohyaldinn, M. E., & Alzoraiki, M. (2022) · International Journal of Environmental Research and Public Health · doi:10.3390/ijerph19084432 · Cited by 41
Wang, X., Wang, X., & Lai, I. K. W. (2023) · Frontiers in Psychology · doi:10.3389/fpsyg.2023.1140519 · Cited by 63
Baig, M. I., Yadegaridehkordi, E., & Nasir, M. H. N. M. (2023) · Management Decision · doi:10.1108/md-06-2022-0778 · Cited by 41
Knowledge Sharing through Social Media Platforms in the Silicon Age
Yaqub, M. Z., & Alsabban, A. (2023) · Sustainability · doi:10.3390/su15086765 · Cited by 63
Nguyen‐Viet, B., & Tran, C. T. (2024) · Cogent Business & Management · doi:10.1080/23311975.2023.2287775 · Cited by 41
Alam, M. J., Ullah, M. S., Islam, M., & Chowdhury, T. A. (2024) · Cogent Business & Management · doi:10.1080/23311975.2024.2318802 · Cited by 89
Examining the Role of Family in Shaping Digital Entrepreneurial Intentions in Emerging Markets
Nguyen, P. N.-D., & Nguyen, H. H. (2024) · SAGE Open · doi:10.1177/21582440241239493 · Cited by 58
Al-Dokhny, A. A., Alismaiel, O. A., Youssif, S., Nasr, N., Drwish, A. M., & Samir, A. (2024) · Sustainability · doi:10.3390/su162310780 · Cited by 53
“According to Hair et al. [96], PLS-SEM does not require data to follow a normal distribution, allowing it to handle datasets with significant deviations from normality, such as skewness and kurtosis.”
Gyamera, E., Atuilik, W. A., Eklemet, I., Matey, A. H., Tetteh, L. A., & Apreku-Djan, P. K. (2023) · Cogent Business & Management · doi:10.1080/23311975.2023.2183559 · Cited by 40
The Digitalization Paradigm: Impacts on Agri-Food Supply Chain Profitability and Sustainability
Dong, Y., Ahmad, S. F., Irshad, M., Al‐Razgan, M., Ali, Y. A., & Awwad, E. M. (2023) · Sustainability · doi:10.3390/su152115627 · Cited by 53
Alam, S. S., Ahmed, S., Kokash, H. A., Mahmud, M. S., & Sharnali, S. Z. (2024) · Electronic Commerce Research and Applications · doi:10.1016/j.elerap.2024.101389 · Cited by 40
Mehrotra, A., Agarwal, R., Awan, U., Walsh, S. T., & Yaqub, M. Z. (2024) · Journal of Sustainable Tourism · doi:10.1080/09669582.2024.2427821 · Cited by 47
“The item reliability was evaluated by examining the factor loadings where Hair et al. (2021) suggested a threshold higher than 0.50 and ideally above 0.70.”
InfluentialNguyen, M. H., & Nguyen, D. T. (2025) · Journal of Consumer Marketing · doi:10.1108/jcm-07-2024-7005 · Cited by 56
Nurtanto, M., Nawanksari, S., Sutrisno, V. L. P., Syahrudin, H., Kholifah, N., Rohmantoro, D., Utami, I. S., Mutohhari, F., & Hamid, M. A. (2025) · Social Sciences & Humanities Open · doi:10.1016/j.ssaho.2025.101638 · Cited by 73
Guidelines for Scale Development and Validation
Lim, W. M., Khatri, P., Shiva, A., & Dabas, V. (2026) · Journal of Consumer Behaviour · doi:10.1002/cb.70096 · Cited by 49
Ismael, K., & Duleba, S. (2021) · Sustainability · doi:10.3390/su132313018 · Cited by 58
Qin, Y., Musetti, A., & Omar, B. (2023) · International Journal of Environmental Research and Public Health · doi:10.3390/ijerph20032089 · Cited by 39
From Big Data Analytics to Organizational Agility: What Is the Mechanism?
Al-Darras, O. M. A., & Tanova, C. (2022) · SAGE Open · doi:10.1177/21582440221106170 · Cited by 51
Bazán, C. (2022) · SAGE Open · doi:10.1177/21582440221129105 · Cited by 51
Awad, E., Rogoza, R., Gerges, S., Obeïd, S., & Hallit, S. R. (2022) · Psychological Reports · doi:10.1177/00332941221132985 · Cited by 40
Influences of subjective norms on teachers’ intention to use social media in working
Tran, H. T. T., Nga, N. T., & Tang, T. T. (2022) · Contemporary Educational Technology · doi:10.30935/cedtech/12659 · Cited by 43
Does Green Innovation Improve SME Performance?
Rustiarini, N. W., Bhegawati, D. A. S., & Mendra, N. P. Y. (2022) · Economies · doi:10.3390/economies10120316 · Cited by 39
Interaction between sustainability practices and the mediating role of hotel performance
López‐Gamero, M. D., Molina-Azorín, J. F., Tarı́, J. J., & Pertusa‐Ortega, E. M. (2023) · Journal of Sustainable Tourism · doi:10.1080/09669582.2023.2198165 · Cited by 45
Metadata
- Authors
- Hair, J. F., Hult, G. T. M., Ringle, C. M., Sarstedt, M., Danks, N. P., & Ray, S.
- Affiliations
- University of South Alabama (US)
- Hamburg University of Technology (DE)
- Otto-von-Guericke-Universität Magdeburg (DE)
- Trinity College Dublin (IE)
- National Tsing Hua University (TW)
- ORCID
- Venue
- Classroom Companion: Business
- Publisher
- Springer International Publishing
- Published
- 2021
- ISSN
- 2662-2866 (ISSN-L)
- 2662-2874
- OpenAlex
- W3210383951
- Cited by
- 10,343
- References
- 171
- Citations by year
- 2026: 3947 · 2025: 2779 · 2024: 1862 · 2023: 1196 · 2022: 498 · 2021: 60
- FWCI
- 418.20
- Type
- book
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Classroom companion: business (publishedVersion, cc-by)
- Directory of Open access Books (OAPEN Foundation) (submittedVersion, other-oa)
- Trinity's Access to Research Output (TARA) (Trinity College Dublin) (submittedVersion)
- Topics
- Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Statistical Methods and Models
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
- Keywords
- partial least squares structural equation modeling, PLS-SEM, R programming language, structural equation modeling, case studies
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