Limited- and Full-Information Estimation and Goodness-of-Fit Testing in 2 n Contingency Tables
高维二元列联表的有限信息与完全信息估计及拟合优度检验
High-dimensional contingency tables tend to be sparse, and standard goodness-of-fit statistics such as X2 cannot be used without pooling categories. As an improvement on arbitrary pooling, for goodness of fit of large 2n contingency tables, we propose classes of quadratic form statistics based on the residuals of margins or multivariate moments up to order r. These classes of test statistics are asymptotically chi-squared distributed under the null hypothesis. Further, the…