Construction of hyper graeco latin Sudoku square design

We have introduced a new experimental design i.e. hyper graeco latin sudoku square design or hyper glass design,where blocking property of sudoku square design is applied to hyper graeco latin square design. by introducing the block sum of squares and thereby reducing the error sum of square. the purpose of hyper glass design is to test three sets of treatments simultaneously in one experiment and allow the investigation of six factors. we have discussed hyper glass design construction with the fixed effect model. the efficiency of hyper glass design with that of hyper graeco latin square design is checked through numerical example and relative efficiency. it is concluded that the proposed new design with the addition of blocking property of sudoku square design is more efficient than hyper graeco latin square design based on minimum mean squares error. © 2017 pakistan journal of statistics.