MULTIPLICATIVE MODELS FOR SQUARE CONTINGENCY-TABLES WITH ORDERED CATEGORIES
成果类型：
Article
署名作者：
GOODMAN, LA
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
发表日期：
1979
页码：
413418
关键词：
摘要：
For the analysis of square contingency tables having ordered categories, this study introduces the diagonals-parameter symmetry model and other related multiplicative models. When these models are applied to the 4 .times. 4 table on unaided vision 1st analyzed by Stuart (1953, 1955), a possible explanation is obtained for the strange residual pattern noted by McCullagh (1978), both in a recent analysis of the data using the palindromic symmetry model and in the analysis of the data using the quasisymmetry model as fitted by Plackett (1974) and others; the observed asymmetry in the table; the inhomogeneity observed between the row marginal, i.e., right eye vision, and the column marginal, left eye vision; and the observed association between right eye and left eye vision. The models introduced in this paper are included within the general class of multiplicative models considered by Goodman (1972), but they are different from the specific kinds of models considered in that article.