443
Views
2
CrossRef citations to date
0
Altmetric
Article

Generalizing R2 for deming regressions

, ORCID Icon, , &
Pages 7731-7743 | Received 09 Feb 2021, Accepted 21 Mar 2022, Published online: 06 Apr 2022

References

  • Colin Cameron, A, and F. Windmeijer. 1997. An R-squared measure of goodness of fit for some common nonlinear regression models. Journal of Econometrics 77 (2):329–42. doi:10.1016/S0304-4076(96)01818-0.
  • De Bont, J., D. J. Shaw, and J. Vercruysse. 2002. The relationship between faecal egg counts, worm burden and tissue egg counts in early Schistosoma mattheei infections in cattle. Acta Tropica 81 (1):63–76. doi:10.1016/S0001-706X(01)00198-X.
  • Eshima, N, and M. Tabata. 2010. Entropy coefficient of determination for generalized linear models. Computational Statistics and Data Analysis 54 (5):1381–9. doi:10.1016/j.csda.2009.12.003.
  • Fuller, W. A. 1987. Measurement error models. New York: Wiley.
  • Hössjer, O. 2008. On the coefficient of determination for mixed regression model. Journal of Statistical Planning and Inference 138 (10):3022–38. doi:10.1016/j.jspi.2007.11.010.
  • Linnet, K. 1990. Estimation of the linear relationship between the measurements of two methods with proportional errors. Statistics in Medicine 9 (12):1463–73. doi:10.1002/sim.4780091210.
  • Marland, E., G. Rhoads, M. J. Bossé, J. A. Sanqui, and W. Bauldry. 2020. Q2: A measure of linearity. The Electronic Journal of Mathematics & Technology 14 (3):177–87.
  • Nakagawa, S., P. C. D. Johnson, and H. Schielzeth. 2017. The coefficient of determination R2 and intra-class correlation coefficient from generalized linear mixed-effects models revisited and expanded. Journal of the Royal Society Interface 14 (134):20170213. doi:10.1098/rsif.2017.0213.
  • Sprent, P. 1969. Models in regression and related topics [Monograph]. Methuen’s Monographs on Applied Probability and Statistics. London: Methuen.
  • St. Laurent, R. T. 1998. Evaluating agreement with a gold standard in method comparison studies. Biometrics 54 (2):537–45. doi:10.2307/3109761.
  • Zhang, D. 2017. A coefficient of determination for Generalized Linear Models. The American Statistician 71 (4):310–6. doi:10.1080/00031305.2016.1256839.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.