TY  - JOUR
AU  - Sanni, Smaila S. 
AU  - Ukaegbu, Eugene C. 
PY  - 2011
TI  - On Three-Way Unbalance Nested Analysis of Variance
JF  - Journal of Mathematics and Statistics
VL  - 8
IS  - 1
DO  - 10.3844/jmssp.2012.1.14
UR  - https://thescipub.com/abstract/jmssp.2012.1.14
AB  - 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.