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Research Article

An empirical study of the durbin and ANOVA F tests and their contrasts

G. C. Livingston Jr.a School of Information and Physical Sciences, University of Newcastle, Newcastle, NSW, AustraliaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-9459-289X
ORCID Icon &
J.C.W. Raynera School of Information and Physical Sciences, University of Newcastle, Newcastle, NSW, Australia;b National Institute for Applied Statistics Research Australia, University of Wollongong, Wollongong, NSW, AustraliaORCID Iconhttps://orcid.org/0000-0003-4987-0026
ORCID Icon
Received 12 Dec 2023, Accepted 12 Jun 2024, Published online: 27 Jun 2024

References

  • Best, D. J., and J. C. W. Rayner. 2014. Conover’s F test as an alternative to Durbin’s test. Journal of Modern Applied Statistical Methods 13 (2):76–83. doi: 10.22237/jmasm/1414814580.
  • Kutner, M., C. Nachtsheim, J. Neter, and W. Li. 2005. Applied linear statistical models (5th ed.). Boston: McGraw-Hill Irwin.
  • Lancaster, HO. 1965. The Helmert matrices. The American Mathematical Monthly 72 (1):4–12. doi: 10.1080/00029890.1965.11970483.
  • Livingston Jr, G. C., and J. C. W. Rayner. 2022. Non-parametric analysis of balanced incomplete block rank data. Journal of Statistical Theory and Practice 16 (4):66. doi: 10.1007/s42519-022-00287-3.
  • Livingston Jr, G. C., and J. C. W. Rayner. 2023. CMHNPA: Cochran-Mantel-Haenszel and Nonparametric ANOVA. R package version 1.1.1, https://CRAN.R-project.org/package=CMHNPA.
  • R Core Team. 2023. R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. https://www.R-project.org/.
  • Rayner, J. C. W, and G. C. Livingston Jr. 2023a. An introduction to Cochran–Mantel–Haenszel testing and nonparametric ANOVA. Chichester: Wiley.
  • Rayner, J. C. W, and G. C. Livingston Jr. 2023b. ANOVA F orthonormal contrasts for ordered treatments in multifactor fixed effects ANOVAs. Submitted.
  • Rayner, J. C. W, and G. C. Livingston Jr. 2023c. Orthogonal contrasts for both balanced and unbalanced designs and both ordered and unordered treatments. Statistica Neerlandica 78 (1):68–78. doi: 10.1111/stan.12305.
  • Rayner, J. C. W., O. Thas, and B. De Boeck. 2008. A generalised Emerson recurrence relation. Australian & New Zealand Journal of Statistics 50 (3):235–40. doi: 10.1111/j.1467-842X.2008.00514.x.
  • Thas, O., D. J. Best, and J. C. W. Rayner. 2012. Using orthogonal trend contrasts for testing ranked data with ordered alternatives. Statistica Neerlandica 66 (4):452–71. doi: 10.1111/j.1467-9574.2012.00525.x.

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