On Three-Way Unbalance Nested Analysis of Variance | Science Publications

Journal of Mathematics and Statistics

Smaila S. Sanni¹  Eugene C. Ukaegbu¹ 

关键词: Unbalanced data;    mean square;    pseudo-degrees of freedom;    approximate F-test;    nested design;    statistical software;    least squares method;    natural barriers;    linear model;    model parameters;   

DOI  :  10.3844/jmssp.2012.1.14

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

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

【 授权许可】

Unknown