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Kay M, Elkin L, Higgins J, Wobbrock J (2021). ARTool: Aligned Rank Transform for Nonparametric Factorial ANOVAs. doi:10.5281/zenodo.594511, R package version 0.11.1, https://github.com/mjskay/ARTool.

Wobbrock J, Findlater L, Gergle D, Higgins J (2011). “The Aligned Rank Transform for Nonparametric Factorial Analyses Using Only ANOVA Procedures.” In Proceedings of the ACM Conference on Human Factors in Computing Systems (CHI '11), 143–146. doi:10.1145/1978942.1978963, https://depts.washington.edu/acelab/proj/art/.

For the ART-C contrast testing procedure used in art.con() and artlm.con(), cite:

Elkin L, Kay M, Higgins J, Wobbrock J (2021). “An Aligned Rank Transform Procedure for Multifactor Contrast Tests.” doi:10.1145/3472749.3474784.

Corresponding BibTeX entries:

  @Manual{,
    title = {{ARTool}: Aligned Rank Transform for Nonparametric
      Factorial ANOVAs},
    author = {Matthew Kay and Lisa A. Elkin and James J. Higgins and
      Jacob O. Wobbrock},
    year = {2021},
    note = {R package version 0.11.1},
    url = {https://github.com/mjskay/ARTool},
    doi = {10.5281/zenodo.594511},
  }
  @InProceedings{,
    title = {The Aligned Rank Transform for Nonparametric Factorial
      Analyses Using Only ANOVA Procedures},
    author = {Jacob O. Wobbrock and Leah Findlater and Darren Gergle
      and James J. Higgins},
    year = {2011},
    booktitle = {Proceedings of the ACM Conference on Human Factors in
      Computing Systems (CHI '11)},
    address = {New York},
    publisher = {ACM Press},
    pages = {143--146},
    url = {https://depts.washington.edu/acelab/proj/art/},
    doi = {10.1145/1978942.1978963},
  }
  @Misc{,
    title = {An Aligned Rank Transform Procedure for Multifactor
      Contrast Tests},
    author = {Lisa A. Elkin and Matthew Kay and James J. Higgins and
      Jacob O. Wobbrock},
    year = {2021},
    booktitle = {Proceedings of the ACM Symposium on User Interface
      Software and Technology (UIST '21)},
    address = {New York},
    publisher = {ACM Press},
    pages = {754--768},
    doi = {10.1145/3472749.3474784},
  }

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.