Joint Analysis of Several Experiments Conducted via Orthogonal Sudoku Design of Odd Order

摘要

Researchers conduct the same experiments at different environments or periods (seasons) with similar treatments purposely to study the interaction between the treatments and environments or between the treatments and periods (seasons). The interest is to carry out joint analysis of these multi-environment experiments, instead of analyzing each experiment separately. However, Joint analysis of these experiments when conducted using orthogonal (Graeco) Sudoku square design is still missing in the literature. This paper proposed a method of obtaining joint analysis of many experiments carried out using orthogonal Sudoku square design of odd order in which experimental treatments are similar for each experiment. A numerical example was presented to explain the proposed method.