Computer models can describe complicated physical phenomena. Due to the highly nonlinear and complex nature, they require specially designed... Show moreComputer models can describe complicated physical phenomena. Due to the highly nonlinear and complex nature, they require specially designed experimental inputs. One direction of computer experiment design is orthogonal Latin hypercube design which is widely used. This thesis reviews the most resent methods of orthogo- nal Latin hypercube designs, their constructing algorithms and important theoretical properties. These designs are easy to construct and preserve the orthogonal and equally-spaced projections. With large number of factors, orthogonal Latin hyper- cube designs enable researchers to estimate uncorrelated rst-order regression e ects, as well as higher-order e ects. For large number of runs, we reviewed general design method to construct large orthogonal Latin hypercubes from small orthogonal Latin hypercubes. A similar construction method for nearly orthogonal Latin hypercubes was discussed as well. M.S. in Applied Mathematics, May 2014 Show less
