@article {10.3844/jmssp.2012.1.14,
article_type = {journal},
title = {On Three-Way Unbalance Nested Analysis of Variance},
author = {Sanni, Smaila S. and Ukaegbu, Eugene C.},
volume = {8},
year = {2011},
month = {Dec},
pages = {1-14},
doi = {10.3844/jmssp.2012.1.14},
url = {https://thescipub.com/abstract/jmssp.2012.1.14},
abstract = {Problem statement: In this study, we give a simple analytically tractable procedure for solving three-way unbalanced nested Analysis of Variance (ANOVA). In many realistic situations, unbalanced design was unavoidable due to natural constraints and missing data. Approach: Here, we present a comprehensive approach for addressing solutions of problems arising from unbalanced nested ANOVA. We consider the F-statistics under the different models. Results: Special attention was given to the construction of approximate F-test where exact F-test does not exist. Pseudo-degrees of freedoms were derived using the Satterthwaite’s type approximation. Conclusion: In all derivations, we assume that the effects act independently and that the mean squares are independent. A numerical example is given to illustrate the solution procedure.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}