TY - JOUR
AU - Qian, Peter Z. G.
AB - Sudoku is played by millions of people across the globe. It has simple rules and is very addictive. The game board is a nine-by-nine grid of numbers from one to nine. Several entries within the grid are provided and the remaining entries must be filled in subject to no row, column, or three-by-three subsquare containing duplicate numbers. By exploiting these three types of uniformity, we propose an approach to constructing a new type of design, called a Sudoku-based space-filling design. Such a design can be divided into groups of subdesigns so that the complete design and each subdesign achieve maximum uniformity in univariate and bivariate margins. Examples are given illustrating the proposed construction method. Applications of such designs include computer experiments with qualitative and quantitative factors, linking parameters in engineering and crossvalidation.
TI - Sudoku-based space-filling designs
JF - Biometrika
DO - 10.1093/biomet/asr024
DA - 2011-09-01
UR - https://www.deepdyve.com/lp/oxford-university-press/sudoku-based-space-filling-designs-wiKlgosDv0
SP - 711
EP - 720
VL - 98
IS - 3
DP - DeepDyve
ER -