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The case of partial least squares (PLS) path modeling in managerial accounting research

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Abstract

Managerial accounting researchers are often challenged to create sophisticated path models to answer research questions. Because of their specific characteristics, partial least squares (PLS) path modeling offers a wide range of useful possibilities for accounting scholars. Nevertheless, PLS path models remain an underutilized analytical tool in managerial accounting research. One reason for their underutilization may be that there has been no systematic discussion of PLS path modeling in accounting that draws on the newest findings. Therefore, we discuss the characteristics of PLS path models, such as the use of composite factors for construct measurement, the explorative characteristics of PLS for path modeling, the relevance of prediction orientation for practical research, and introduce tools such as mediation analysis, heterogeneous data modeling, and importance-performance matrix analysis. Overall, this paper facilitates the adoption of PLS path models by updating the current conventional understanding of PLS path models in managerial accounting.

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Notes

  1. It is noted that the authors incorrectly presented the calculation. An accurate and more complete description can be found online at http://disc-nt.cba.uh.edu/chin/plsfaq.htm.

References

  • Atinc, G., Simmering, M. J., & Kroll, M. J. (2012). Control variable use and reporting in macro and micro management research. Organizational Research Methods, 15, 57–74.

    Article  Google Scholar 

  • Bagozzi, R. P. (2011). Measurement and meaning in information systems and organizational research: Methodological and philosophical foundations. MIS Quarterly, 35, 261–292.

    Google Scholar 

  • Baron, R. M., & Kenny, D. A. (1986). The moderator-mediator variable distinction in social psychological research: Conceptual, strategic and statistical considerations. Journal of Personality and Social Psychology, 51, 1173–1182.

    Article  Google Scholar 

  • Becker, J.-M., Rai, A., Ringle, C. M., & Völckner, F. (2013). Discovering unobserved heterogeneity in structural equation models to avert validity threats. MIS Quarterly, 37, 665–694.

    Google Scholar 

  • Bisbe, J., Batista-Foguet, J.-M., & Chenhall, R. (2007). Defining management accounting constructs: A methodological note on the risks of conceptual misspecification. Accounting Organizations and Society, 32, 789–820.

    Article  Google Scholar 

  • Bisbe, J., & Malagueño, R. (2012). Using strategic performance measurement systems for strategy formulation: Does it work in dynamic environments? Management Accounting Research, 23, 296–311.

    Article  Google Scholar 

  • Burkert, M., & Lueg, R. (2013). Differences in the sophistication of value-based management: The role of top executives. Management Accounting Research, 24, 3–22.

    Article  Google Scholar 

  • Chenhall, R. H. (2003). Management control systems design within its organizational context: Findings from contingency-based research and directions for the future. Accounting, Organizations and Society, 28, 127–168.

    Article  Google Scholar 

  • Chenhall, R. H. (2012). Developing an organizational perspective to management accounting. Journal of Management Accounting Research, 24, 65–76.

    Article  Google Scholar 

  • Chin, W. W. (1995). Partial least squares is to LISREL as principal components analysis is to common factor analysis. Technology Studies, 2, 315–319.

    Google Scholar 

  • Chin, W. W. (1998). The partial least squares approach for structural equation modeling. In G. A. Marcoulides (Ed.), Modern methods for business research (pp. 295–336). Mahwah, NJ: Lawrence Erlbaum Associates.

    Google Scholar 

  • Chin, W. W. (2003). PLS Graph 3.0. Houston: Soft Modeling Inc.

    Google Scholar 

  • Chin, W. W. (2010a). Bootstrap cross-validation indices for PLS path model assessment. In V. Esposito Vinzi, W. W. Chin, J. Henseler, & H. Wang (Eds.), Handbook of partial least squares: Concepts, methods and applications (pp. 83–97). New York: Springer.

    Chapter  Google Scholar 

  • Chin, W. W. (2010b). How to write up and report PLS analyses. In V. Esposito Vinzi, W. W. Chin, J. Henseler, & H. Wang (Eds.), Handbook of partial least squares: Concepts, methods and applications (pp. 655–690). New York: Springer.

    Chapter  Google Scholar 

  • Chin, W. W., Mills, A. M., Steel, D. J., & Schwarz, A. (2012). Multi-group invariance testing: An illustrative comparison of PLS permutation and covariance-based SEM analysis. In 7th international conference on partial least squares and related methods, Houston, Texas, USA, pp. 1–11

  • Chin, W. W., Mills, A. M., Steel, D. J., & Schwarz, A. (2016). Multi-group invariance testing: An illustrative comparison of PLS permutation and covariance-based SEM analysis. In H. Abdi, V. E. Vinzi, G. Russolillo, G. Saporta, & L. Trinchera (Eds.), The multiple facets of partial least squares and related methods, Vol. 173. Springer Proceedings in Mathematics & Statistics, New York et al., pp. 267–284

  • Chin, W. W., & Newsted, P. R. (1999). Structural equation modeling analysis with small samples using partial least squares. In R. H. Hoyle (Ed.), Statistical strategies for small sample research (pp. 307–341). Thousand Oaks: Sage.

    Google Scholar 

  • Churchill, G. A. (1979). A paradigm for developing better measures of marketing constructs. Journal of Marketing Research, 16, 64–73.

    Article  Google Scholar 

  • Davis, F. D., Bagozzi, R. P., & Warshaw, P. R. (1989). User acceptance of computer technology: A comparison of two theoretical models. Management Science, 35, 982–1003.

    Article  Google Scholar 

  • Deng, W. J., Yeh, M. L., & Sung, M. L. (2013). A customer satisfaction index model for international tourist hotels: Integrating consumption emotions into the American Customer Satisfaction Index. International Journal of Hospitality Management, 35, 133–140.

    Article  Google Scholar 

  • Diamantopoulos, A., & Winklhofer, H. M. (2001). Index construction with formative indicators: An alternative to scale development. Journal of Marketing Research, 38, 269–277.

    Article  Google Scholar 

  • Dijkstra, T. K. (2010). Latent variables and indices: Herman wold’s basic design and partial least squares. In Vinzi V. Esposito, W. W. Chin, J. Henseler, & H. Wang (Eds.), Handbook of partial least squares: Concepts, methods and applications (Springer handbooks of computational statistics series, vol. II) (pp. 23–46). New York: Springer.

    Chapter  Google Scholar 

  • Dowling, C. (2009). Appropriate audit support system use: The influence of auditor, audit team, and firm factors. The Accounting Review, 84, 771–810.

    Article  Google Scholar 

  • Dudenhöffer, K. (2013). Why electric vehicles failed. Journal of Management Control, 24, 95–124.

    Article  Google Scholar 

  • Evermann, J., & Tate, M. (2016). Assessing the predictive performance of structural equation model estimators. Journal of Business Research, 69, 4565–4582.

    Article  Google Scholar 

  • Fornell, C. G. (1992). A national customer satisfaction barometer: The Swedish experience. Journal of Marketing, 56, 6–21.

    Article  Google Scholar 

  • Fornell, C. G., Johnson, M. D., Anderson, E. W., Cha, J., & Bryant, B. E. (1996). The American customer satisfaction index: Nature, purpose, and findings. Journal of Marketing, 60, 7–18.

    Article  Google Scholar 

  • Gefen, D., Rigdon, E. E., & Straub, D. W. (2011). Editor’s comment: An update and extension to SEM guidelines for administrative and social science research. MIS Quarterly, 35, iii–xiv.

  • Gerbing, D. W., & Hamilton, J. G. (1994). The surprising viability of a simple alternate estimation procedure for construction of large-scale structural equation measurement models. Structural Equation Modeling, 1, 103–115.

    Article  Google Scholar 

  • Goodhue, D. L., Thompson, R., & Lewis, W. (2013). Why you shouldn’t use PLS: Four reasons to be uneasy about using PLS in analyzing path models. In 46th Hawaii international conference on system sciences (HICSS), IEEE, pp. 4739–4748.

  • Hair, J. F., Hult, G. T. M., Ringle, C. M., & Sarstedt, M. (2017a). A primer on partial least squares structural equation modeling (PLS-SEM) (2nd ed.). Thousand Oaks: Sage.

    Google Scholar 

  • Hair, J. F., Hult, G. T. M., Ringle, C. M., Sarstedt, M., & Thiele, K. O. (2017b). Mirror, mirror on the wall: a comparative evaluation of composite-based structural equation modeling methods. Journal of the Academy of Marketing Science. doi:10.1007/s11747-017-0517-x

  • Hair, J. F., Sarstedt, M., Pieper, T. M., & Ringle, C. M. (2012a). The use of partial least squares structural equation modeling in strategic management research: A review of past practices and recommendations for future applications. Long Range Planning, 45, 320–340.

    Article  Google Scholar 

  • Hair, J. F., Sarstedt, M., Ringle, C. M., & Mena, J. A. (2012b). An assessment of the use of partial least squares structural equation modeling in marketing research. Journal of the Academy of Marketing Science, 40, 414–433.

    Article  Google Scholar 

  • Hampton, C. (2015). Estimating and reporting structural equation models with behavioral accounting data. Behavioral Research in Accounting, 27, 1–34.

    Article  Google Scholar 

  • Hartmann, F. G. H., & Maas, V. S. (2011). The effects of uncertainty on the roles of controllers and budgets: An exploratory study. Accounting and Business Research, 41, 439–458.

    Article  Google Scholar 

  • Hartmann, F. G. H., & Moers, F. (1999). Testing contingency hypotheses in budgetary research: An evaluation of the use of moderated regression analysis. Accounting, Organizations and Society, 24, 291–315.

    Article  Google Scholar 

  • Hartmann, F. G. H., & Moers, F. (2003). Testing contingency hypotheses in budgetary research using moderated regression analysis: A second look. Accounting, Organizations and Society, 28, 803–809.

    Article  Google Scholar 

  • Henseler, J. (2012). PLS-MGA: A non-parametric approach to partial least squares-based multi-group analysis. In W. A. Gaul, A. Geyer-Schulz, L. Schmidt-Thieme, & J. Kunze (Eds.), Challenges at the interface of data analysis, computer science, and optimization studies in classification, data analysis, and knowledge organization (pp. 495–501). New York: Springer.

    Google Scholar 

  • Henseler, J., & Dijkstra, T. (2015). ADANCO 2.0. www.compositemodeling.com. Kleve, Germany

  • Henseler, J., Dijkstra, T. K., Sarstedt, M., Ringle, C. M., Diamantopoulos, A., Straub, D. W., et al. (2014). Common beliefs and reality about PLS: Comments on Rönkkö & Evermann (2013). Organizational Research Methods, 17, 182–209.

    Article  Google Scholar 

  • Henseler, J., & Fassott, G. (2010). Testing moderating effects in PLS path models: An illustration of available procedures. In V. Esposito Vinzi, W. W. Chin, J. Henseler, & H. Wang (Eds.), Handbook of partial least squares: Concepts, methods and applications (Springer handbooks of computational statistics series, vol. II) (pp. 713–735). New York: Springer.

    Chapter  Google Scholar 

  • Henseler, J., Hubona, G. S., & Pauline, A. R. (2016). Using PLS path modeling in new technology research: Updated guidelines. Industrial Management & Data Systems, 116, 2–20.

    Article  Google Scholar 

  • Himme, A. (2012). Critical success factors of strategic cost reduction. Journal of Management Control, 23, 183–210.

    Article  Google Scholar 

  • Hirsch, B., Nitzl, C., & Schauß, J. (2015). The influence of management accounting departments within German municipal administrations. Financial Accountability & Management, 31, 192–218.

    Article  Google Scholar 

  • Hofmann, S., Wald, A., & Gleich, R. (2012). Determinants and effects of the diagnostic and interactive use of control systems: An empirical analysis on the use of budgets. Journal of Management Control, 23, 153–182.

    Article  Google Scholar 

  • Hsu, S.-H., Chen, W.-H., & Hsieh, M.-J. (2006). Robustness testing of PLS, LISREL, EQS and ANN-based SEM for measuring customer satisfaction. Total Quality Management & Business Excellence, 17, 355–372.

    Article  Google Scholar 

  • Hulland, J. (1999). Use of partial least squares (PLS) in strategic management research: A review of four recent studies. Strategic Management Journal, 20, 195–204.

    Article  Google Scholar 

  • Ittner, C. D., Larcker, D. F., & Rajan, M. V. (1997). The choice of performance measures in annual bonus contracts. Accounting Review, 72, 231–255.

    Google Scholar 

  • Jarvis, C. B., MacKenzie, S. B., & Podsakoff, P. M. (2003). A critical review of construct indicators and measurement model misspecification in marketing and consumer research. Journal of Consumer Research, 30, 199–218.

    Article  Google Scholar 

  • Keil, M., Saarinen, T., Tan, B. C. Y., Tuunainen, V., Wassenaar, A., & Wei, K.-K. (2000). A cross-cultural study on escalation of commitment behavior in software projects. MIS Quarterly, 24, 299–325.

    Article  Google Scholar 

  • King, W. R., & He, J. (2006). A meta-analysis of the technology acceptance model. Information & Management, 43, 740–755.

    Article  Google Scholar 

  • Kleine, C., & Weißenberger, B. E. (2014). Leadership impact on organizational commitment: The mediating role of management control systems choice. Journal of Management Control, 24, 241–266.

    Article  Google Scholar 

  • Laitinen, E. K. (2014). The association between CEO work, management accounting information, and financial performance: evidence from Finnish top managers. Journal of Management Control, 25, 221–257.

    Article  Google Scholar 

  • Laitinen, E. K., Länsiluoto, A., & Salonen, S. (2016). Interactive budgeting, product innovation, and firm performance: Empirical evidence from Finnish firms. Journal of Management Control, 1–30

  • Lau, R. S., & Cheung, G. W. (2012). Estimating and comparing specific mediation effects in complex latent variable models. Organizational Research Methods, 15, 3–16.

    Article  Google Scholar 

  • Lee, L., Petter, S., Fayard, D., & Robinson, S. (2011). On the use of partial least squares path modeling in accounting research. International Journal of Accounting Information Systems, 12, 305–328.

    Article  Google Scholar 

  • Libby, R., Bloomfield, R., & Nelson, M. W. (2002). Experimental research in financial accounting. Accounting, Organizations and Society, 27, 775–810.

    Article  Google Scholar 

  • Lohmöller, J.-B., & Wold, H. (1980). Three-mode path models with latent variables and partial least squares (PLS) parameter estimation. Paper presented at the European meeting of the psychometric society, Groningen, Netherlands, June 18–21, 1980

  • Luft, J., & Shields, M. D. (2014). Subjectivity in developing and validating causal explanations in positivist accounting research. Accounting, Organizations and Society, 39, 550–558.

    Article  Google Scholar 

  • Mahama, H., & Cheng, M. M. (2013). The effect of managers’ enabling perceptions on costing system use, psychological empowerment, and task performance. Behavioral Research in Accounting, 25, 89–114.

    Article  Google Scholar 

  • Majchrak, A., Beath, C., Lim, R., & Chin, W. W. (2005). Managing client dialogues during information systems design to facilitate client learning. MIS Quarterly, 29, 653–672.

    Google Scholar 

  • Malmi, T., & Granlund, M. (2009). In search of management accounting theory. European Accounting Review, 18, 597–620.

    Article  Google Scholar 

  • Marcoulides, G. A., & Chin, W. W. (2013). You write, but others read: Common methodological misunderstandings in PLS and related methods. In H. Abdi, W. W. Chin, V. Esposito Vinzi, G. Russolillo, & L. Trinchera (Eds.), New perspectives in partial least squares and related methods (pp. 31–64). Heidelberg: Springer.

    Chapter  Google Scholar 

  • McIntosh, C. N., Edwards, J. R., & Antonakis, J. (2014). Reflection on partial least squares path modeling. Organizational Research Methods, 17, 210–251.

    Article  Google Scholar 

  • Merchant, K. A. (2012). Making management accounting research more useful. Pacific Accounting Review, 24, 334–356.

    Article  Google Scholar 

  • Navickas, V., Navikaite, A., Abeyrathne, U., Jayarathne, S., Kılıç, S., Chen, Y.-L., et al. (2014). Methodological aspects of customer satisfaction: Measurement and models. Human Resources, 3, 49–58.

    Google Scholar 

  • Nitzl, C. (2016). The use of partial least squares structural equation modelling (PLS-SEM) in management accounting research: Directions for future theory development. Journal of Accounting Literature, 39, 19–35.

    Article  Google Scholar 

  • Nitzl, C., Roldán, J. L., & Cepeda, G. (2016). Mediation analyses in partial least squares structural equation modeling: Helping researchers to discuss more sophisticated models. Industrial Management & Data Systems, 116, 1849–1864.

    Article  Google Scholar 

  • Nor-Aziah, A. K., & Scapens, R. W. (2007). Corporation and accounting change: The role of accounting and accountants in a Malaysian public utility. Management Accounting Research, 18, 209–247.

    Article  Google Scholar 

  • Preacher, K. J., & Hayes, A. F. (2008). Asymptotic and resampling strategies for assessing and comparing indirect effects in multiple mediator models. Behavior Research Methods, 40, 879–891.

    Article  Google Scholar 

  • Reinartz, W. J., Haenlein, M., & Henseler, J. (2009). An empirical comparison of the efficacy of covariance-based and variance-based SEM. International Journal of Research in Marketing, 26, 332–344.

    Article  Google Scholar 

  • Rigdon, E. E. (2012). Rethinking partial least squares path modeling: In praise of simple methods. Long Range Planning, 45, 341–358.

    Article  Google Scholar 

  • Rigdon, E. E. (2013). Partial least squares path modeling. In G. R. Hancock & R. O. Mueller (Eds.), Structural equation modeling: A second course (2nd ed., pp. 81–116). Charlotte, NC: Information Age Publishing.

    Google Scholar 

  • Rigdon, E. E. (2014). Rethinking partial least squares path modeling: Breaking chains and forging ahed. Long Range Planning, 47, 161–167.

    Article  Google Scholar 

  • Rigdon, E. E. (2016). Choosing PLS path modeling as analytical method in European management research: A realist perspective. European Management Journal, 34, 598–605.

    Article  Google Scholar 

  • Ringle, C. M., & Sarstedt, M. (2016). Gain more insight from your PLS-SEM results: The importance-performance map analysis. Industrial Management & Data Systems, 116, 1865–1886.

    Article  Google Scholar 

  • Ringle, C. M., Sarstedt, M., & Straub, D. W. (2012). A critical look at the use of PLS-SEM in MIS Quarterly. MIS Quarterly 36, iii–xiv

  • Ringle, C. M., Wende, S., & Becker, J.-M. (2014). SmartPLS 3. SmartPLS, Hamburg. www.smartpls.de

  • Rodgers, W., & Guiral, A. (2011). Potential model misspecification bias: Formative indicators enhancing theory for accounting researchers. The International Journal of Accounting, 46, 25–50.

    Article  Google Scholar 

  • Rönkko, M., & Evermann, J. (2013). A critical examination of common beliefs about partial least squares path modeling. Organizational Research Methods, 16, 425–448.

    Article  Google Scholar 

  • Rönkkö, M., McIntosh, C. N., & Antonakis, J. (2015). On the adoption of partial least squares in psychological research: Caveat emptor. Personality and Individual Differences, 87, 76–84.

    Article  Google Scholar 

  • Rönkkö, M., McIntosh, C. N., Antonakis, J., & Edwards, J. R. (2016). Partial least squares path modeling: Time for some serious second thoughts. Journal of Operations Management, 47–48, 9–27.

    Article  Google Scholar 

  • Sarstedt, M., Becker, J.-M., Ringle, C. M., & Schwaiger, M. (2011a). Uncovering and treating unobserved heterogeneity with FIMIX-PLS: Which model selection criterion provides an appropriate number of segments? Schmalenbach Business Review, 63, 34–62.

    Google Scholar 

  • Sarstedt, M., Hair, J. F., Ringle, C. M., Thiele, K. O., & Gudergan, S. P. (2016). Estimation issues with PLS and CBSEM: Where the bias lies!. Journal of Business Research, 69, 3998–4010.

    Article  Google Scholar 

  • Sarstedt, M., Henseler, J., & Ringle, C. M. (2011b). Multi-group analysis in partial least squares (PLS) path modeling: Alternative methods and empirical results. In M. Sarstedt, M. Schwaiger, & C. R. Taylor (Eds.), Advances in international marketing (Vol. 22, pp. 195–218). Bingley: Emerald Group Publishing Limited.

    Google Scholar 

  • Sarstedt, M., Ringle, C. M., Henseler, J., & Hair, J. F. (2014). On the emancipation of PLS-SEM: A commentary on Rigdon (2012). Long Range Planning, 47, 154–160.

    Article  Google Scholar 

  • Schlittgen, R., Ringle, C. M., Sarstedt, M., & Becker, J.-M. (2016). Segmentation of PLS path models by iterative reweighted regressions. Journal of Business Research, 69, 4583–4592.

    Article  Google Scholar 

  • Shields, M. D. (1997). Research in management accounting by North Americans in the 1990s. Journal of Management Accounting Research, 9, 3–61.

    Google Scholar 

  • Shields, M. D. (2015). Established management accounting knowledge. Journal of Management Accounting Research, 27, 123–132.

    Article  Google Scholar 

  • Shmueli, G., & Koppius, O. R. (2011). Predictive analytics in information systems research. MIS Quarterly, 35, 553–572.

    Google Scholar 

  • Shmueli, G., Ray, S., Velasquez Estrada, J. M., & Chatla, S. B. (2016). The elephant in the room: Predictive performance of PLS models. Journal of Business Research, 69, 4552–4564.

    Article  Google Scholar 

  • Smith, D., & Langfield-Smith, K. (2004). Structural equation modeling in management accounting research: Critical analysis and opportunities. Journal of Accounting Literature, 23, 49–86.

    Google Scholar 

  • Smith, M. (2015). Research methods in accounting (3rd ed.). London: Sage.

    Google Scholar 

  • Speklé, R. F., & Verbeeten, F. H. M. (2014). The use of performance measurement systems in the public sector: Effects on performance. Management Accounting Research, 25, 131–146.

    Article  Google Scholar 

  • Tenenhaus, M., Esposito Vinzi, V., Chatelin, Y.-M., & Lauro, C. (2005). PLS path modeling. Computational Statistics & Data Analysis, 48, 159–205.

    Article  Google Scholar 

  • Van der Stede, W. A., Young, S. M., & Chen, C. X. (2005). Assessing the quality of evidence in empirical management accounting research: The case of survey studies. Accounting, Organizations and Society, 30, 655–684.

    Article  Google Scholar 

  • Venkatesh, V. (2000). Determinants of perceived ease of use: Integrating control, intrinsic motivation, and emotion into the technology acceptance model. Information Systems Research, 11, 342.

    Article  Google Scholar 

  • Venkatesh, V., & Bala, H. (2008). Technology acceptance model 3 and a research agenda on interventions. Decision Sciences, 39, 273–315.

    Article  Google Scholar 

  • Venkatesh, V., Morris, M. G., Davis, G. B., & Davis, F. D. (2003). User acceptance of information technology: Toward a unified view. MIS Quarterly, 27, 425–478.

    Google Scholar 

  • Vinzi, V. E., Trinchera, L., Squillacciotti, S., & Tenenhaus, M. (2008). Rebus-PLS: A response-based procedure for detecting unit segments in pls path modeling. Applied Stochastic Models in Business and Industry, 24, 439–458.

    Article  Google Scholar 

  • Weiber, R., & Mühlhaus, D. (2014). Strukturgleichungsmodellierung: Eine anwendungsorientierte Einfuhrung in die Kausalanalyse mit Hilfe von AMOS, SmartPLS und SPSS (2nd ed.). New York: Springer.

    Book  Google Scholar 

  • Willaby, H. W., Costa, D. S. J., Burns, B. D., MacCann, C., & Roberts, R. D. (2015). Testing complex models with small sample sizes: A historical overview and empirical demonstration of what partial least squares (PLS) can offer differential psychology. Personality and Individual Differences, 84, 73–78.

    Article  Google Scholar 

  • Wold, H. (1982). Soft modeling: The basic design and some extensions. In K. G. Jöreskog & H. Wold (Eds.), Systems under indirect observations: Part II (pp. 1–54). Amsterdam: North-Holland.

    Google Scholar 

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Nitzl, C., Chin, W.W. The case of partial least squares (PLS) path modeling in managerial accounting research. J Manag Control 28, 137–156 (2017). https://doi.org/10.1007/s00187-017-0249-6

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