Kherad-Pajouh, S. and Renaud, O. (2010) An Exact Permutation Method for Testing Any Effect in Balanced and Unbalanced Fixed Effect ANOVA. Computational Statistics & Data Analysis, 54, 1881-1893.
https://doi.org/10.1016/j.csda.2010.02.015

has been cited by the following article:

• TITLE: Analysis of Variance for Three-Way Unbalanced Mixed Effects Interactive Model

  AUTHORS: Emmanuel W. Okereke, Joy C. Nwabueze, Stanislaus O. Obinyelu

  KEYWORDS: Expected Mean Square (EMS), Pseudo-Degree of Freedom, Unbiased Estimate, Hypotheses, Multi-Factor Experiments

  JOURNAL NAME: Open Journal of Statistics, Vol.10 No.2, April 22, 2020

  ABSTRACT: In the study, a method of solving ANOVA problems based on an unbalanced three-way mixed effects model with interaction for data when factors A and B are fixed, and factor C is random was presented, and the required EMS was derived. Under each of the appropriate null hypotheses, it was observed that none of the derived EMS was unbiased for the other. Unbiased estimators of the mean squares were determined to test hypotheses. With the unbiased estimators,appropriate F-statistics as well as their corresponding pseudo-degrees of freedom were obtained. The theoretical results presented in the paper wereillustrated using a numerical example.