The position in the design theory mutually orthogonal latin squares

THE POSITION IN THE DESIGN THEORYOF MUTUALLY ORTHOGONAL LATIN SQUARES(M. Sc. Thesis)Fatma ÖZBENGAZI UNIVERSITYINSTITUTE OF SCIENCE AND TECHNOLOGYSeptember 2006ABSTRACTLatin squares essential in statistics and they are primarily used in designingexperiment. In this study, we showed the close relationship between Latinsquares and Mutually orthogonal Latin squares (MOLS) and the followingdesigns; triple systems , Stenier triple systems (STS), transversal design (TD),balanced incomplete block design (BIBD), pairwise balanced design (PBD),orthogonal arrays (OA). We have concluded this study by showing therelationship between Latin squares and the above mentioned designs intheorical and mathmatical samples.Science Code : 212Key Words : Latin Square, Mutually Orthogonal Latin Squares(MOLS), Balanced Incomplate Block Design (BIBD),Pairvise Balanced Designs (PBD), Finite Geometry.Number of Pages : 91Supervisor : Prof. Dr. Hülya BAYRAK