Construction And Analysis Of Hyper Block Graeco Latin Sudoku Square Design

Abstract

A novel experimental design called Hyper Block Graeco Latin Sudoku Square Design (Hyper Block GLaSS Design) has been released. It applies the row blocking and column blocking features of Subramani and Pormuswamy Sudoku Square Designs. The Error Sum of Square is decreased by implementing the Block Sum of Square for both rows and columns. Hyper Block GLaSS Design aims to investigate eight parameters and test three sets of treatments concurrently in a single experiment. For Hyper Block GLaSS Design a numerical example is used to analyze the fixed effect model's construction, compare it to the Hyper Graeco Latin Sudoku Square Design, and determine how efficient it is.

 By adding row and column blocking, the suggested new design outperforms the Hyper Graeco Latin Sudoku Square Design in terms of lowest mean squares error.