IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0247722.html
   My bibliography  Save this article

Multiple-to-multiple path analysis model

Author

Listed:
  • Yujie Du
  • Junli Du
  • Xi Liu
  • Zhifa Yuan

Abstract

One-to-multiple path analysis model describes the regulation mechanism of multiple independent variables to one dependent variable by dividing the correlation coefficient and the determination coefficient. How to analyse more complex regulation mechanisms of multiple independent variables to multiple dependent variables? Similarly, according to multiple-to-multiple linear regression analysis, multiple-to-multiple path analysis model was proposed in this paper and it demonstrated more complex regulation mechanisms among multiple independent variables and multiple dependent variables by dividing the generalized determination coefficient. Differently, three other types of paths were generated in multiple-to-multiple path analysis model in that the correlation among multiple dependent variables was considered. Then, the decision coefficient of each independent variable was constructed for dependent variables system, and its hypothesis testing statistics were given. Finally, the research example of the wheat breeding rules in arid area demonstrated that the multiple-to-multiple path analysis considering more correlation information can get better results.

Suggested Citation

  • Yujie Du & Junli Du & Xi Liu & Zhifa Yuan, 2021. "Multiple-to-multiple path analysis model," PLOS ONE, Public Library of Science, vol. 16(3), pages 1-17, March.
    • Handle: RePEc:plo:pone00:0247722
    DOI: 10.1371/journal.pone.0247722
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0247722
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0247722&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0247722?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Karl Jöreskog, 1978. "Structural analysis of covariance and correlation matrices," Psychometrika, Springer;The Psychometric Society, vol. 43(4), pages 443-477, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhu, Jiebei & Li, Mingrui & Luo, Lin & Zhang, Bidan & Cui, Mingjian & Yu, Lujie, 2023. "Short-term PV power forecast methodology based on multi-scale fluctuation characteristics extraction," Renewable Energy, Elsevier, vol. 208(C), pages 141-151.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Sik-Yum Lee & S. Wang, 1996. "Sensitivity analysis of structural equation models," Psychometrika, Springer;The Psychometric Society, vol. 61(1), pages 93-108, March.
    2. Ringle, Christian M. & Sarstedt, Marko & Schlittgen, Rainer & Taylor, Charles R., 2013. "PLS path modeling and evolutionary segmentation," Journal of Business Research, Elsevier, vol. 66(9), pages 1318-1324.
    3. Sarstedt, Marko & Ringle, Christian M. & Smith, Donna & Reams, Russell & Hair, Joseph F., 2014. "Partial least squares structural equation modeling (PLS-SEM): A useful tool for family business researchers," Journal of Family Business Strategy, Elsevier, vol. 5(1), pages 105-115.
    4. John, George & Reve, Torger, 2010. "Transaction Cost Analysis in Marketing: Looking Back, Moving Forward," Journal of Retailing, Elsevier, vol. 86(3), pages 248-256.
    5. Yutaka Kano, 1990. "Noniterative estimation and the choice of the number of factors in exploratory factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 55(2), pages 277-291, June.
    6. David J. Jackson & Duane F. Alwin, 1980. "The Factor Analysis of Ipsative Measures," Sociological Methods & Research, , vol. 9(2), pages 218-238, November.
    7. P. Bentler, 1986. "Structural modeling and psychometrika: An historical perspective on growth and achievements," Psychometrika, Springer;The Psychometric Society, vol. 51(1), pages 35-51, March.
    8. Ringle, Christian M., 2006. "Segmentation for path models and unobserved heterogeneity: The finite mixture partial least squares approach," MPRA Paper 10734, University Library of Munich, Germany.
    9. Troiville, Julien, 2024. "Connecting the dots between brand equity and brand loyalty for retailers: The mediating roles of brand attitudes and word-of-mouth communication," Journal of Business Research, Elsevier, vol. 177(C).
    10. Poelmans, Steven, 2001. "Work-family conflict as a mediator of the work stress - mental health relationship," IESE Research Papers D/443, IESE Business School.
    11. David Gerbing & James Anderson, 1987. "Improper solutions in the analysis of covariance structures: Their interpretability and a comparison of alternate respecifications," Psychometrika, Springer;The Psychometric Society, vol. 52(1), pages 99-111, March.
    12. Haruhiko Ogasawara, 2004. "Asymptotic biases in exploratory factor analysis and structural equation modeling," Psychometrika, Springer;The Psychometric Society, vol. 69(2), pages 235-256, June.
    13. Tang, Man-Lai & Lee, Sik-Yum, 1998. "Analysis of structural equation models with censored or truncated data via EM algorithm," Computational Statistics & Data Analysis, Elsevier, vol. 27(1), pages 33-46, March.
    14. Carlo Cavicchia & Pasquale Sarnacchiaro, 2024. "A new hierarchical composite indicator model for ranking the top 20 European football teams," Quality & Quantity: International Journal of Methodology, Springer, vol. 58(5), pages 4033-4051, October.
    15. Donald Boyd & Hamilton Lankford & Susanna Loeb & James Wyckoff, 2013. "Measuring Test Measurement Error," Journal of Educational and Behavioral Statistics, , vol. 38(6), pages 629-663, December.
    16. Hong-Tu Zhu & Sik-Yum Lee, 2001. "A Bayesian analysis of finite mixtures in the LISREL model," Psychometrika, Springer;The Psychometric Society, vol. 66(1), pages 133-152, March.
    17. Suzuki, Jun, 2011. "Structural modeling of the value of patent," Research Policy, Elsevier, vol. 40(7), pages 986-1000, September.
    18. Klitmøller, Anders & Lauring, Jakob, 2016. "When distance is good: A construal level perspective on perceptions of inclusive international language use," International Business Review, Elsevier, vol. 25(1), pages 276-285.
    19. P. Bentler, 1983. "Some contributions to efficient statistics in structural models: Specification and estimation of moment structures," Psychometrika, Springer;The Psychometric Society, vol. 48(4), pages 493-517, December.
    20. Herman Wold, 1980. "Model Construction and Evaluation When Theoretical Knowledge Is Scarce," NBER Chapters, in: Evaluation of Econometric Models, pages 47-74, National Bureau of Economic Research, Inc.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:plo:pone00:0247722. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.