Testing the equality of normal distributed and independent groups’ means under unequal variances by doex package

Abstract:

In this paper, we present the doex package contains the tests for equality of normal dis tributed and independent group means under unequal variances such as Cochran F, Welch-Aspin, Welch, Box, Scott-Smith, Brown-Forsythe, Johansen F, Approximate F, Alexander-Govern, Generalized F, Modified Brown-Forsythe, Permutation F, Adjusted Welch, B2, Parametric Bootstrap, Fiducial Approach, and Alvandi Generalized F-test. Most of these tests are not available in any package. Thus, doex is easy to use for researchers in multidisciplinary studies. In this study, an extensive Monte-Carlo simulation study is conducted to investigate the performance of the the tests for equality of normal distributed group means under unequal variances in terms of Type I error probability and penalized power. In the case of Type I error probability of the compared tests are different, the penalized power is used which allows fair power comparisons. In this way, we conclude the performance of the tests by taking into account two possible errors in hypothesis testing.

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Authors

Affiliations

Mustafa Cavus

 

Berna Yazıcı

 

Published

Jan. 13, 2021

Received

Jul 31, 2019

DOI

10.32614/RJ-2021-008

Volume

Pages

12/2

134 - 154

Supplementary materials

Supplementary materials are available in addition to this article. It can be downloaded at RJ-2021-008.zip

CRAN packages used

doex, asbio, coin, lawstat, onewaytests, welchADF, WRS2, car, rstatix, inferr

CRAN Task Views implied by cited packages

Survival, ClinicalTrials, Econometrics, Finance, Multivariate, Robust, SocialSciences, TeachingStatistics

Footnotes

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    Text and figures are licensed under Creative Commons Attribution CC BY 4.0. The figures that have been reused from other sources don't fall under this license and can be recognized by a note in their caption: "Figure from ...".

    Citation

    For attribution, please cite this work as

    Cavus & Yazıcı, "The R Journal: Testing the equality of normal distributed and independent groups' means under unequal variances by doex package", The R Journal, 2021

    BibTeX citation

    @article{RJ-2021-008,
      author = {Cavus, Mustafa and Yazıcı, Berna},
      title = {The R Journal: Testing the equality of normal distributed and independent groups' means under unequal variances by doex package},
      journal = {The R Journal},
      year = {2021},
      note = {https://doi.org/10.32614/RJ-2021-008},
      doi = {10.32614/RJ-2021-008},
      volume = {12},
      issue = {2},
      issn = {2073-4859},
      pages = {134-154}
    }