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.