Dale J R
Biometrics. 1986 Dec;42(4):909-17.
A family of statistical models is presented for bivariate, discrete response to a regressor when both components of the response have ordered categories. Association between components is expressed in terms of global cross-ratios, cross-product ratios of quadrant probabilities, for each double dichotomy of the response table of probabilities into quadrants (Pearson and Heron, 1913, Biometrika 9, 159-315). These models are extensions to the work of Plackett (1965, Journal of the American Statistical Association 60, 516-522) and Mantel and Brown (1973, Biometrics 29, 649-665). The marginal cumulative probabilities may satisfy linear logistic or other generalized linear models (McCullagh, 1980, Journal of the Royal Statistical Society, Series B 42, 109-142). An analysis of patients' postoperative pain level and medication frequency illustrates these methods.
当响应的两个组成部分都具有有序类别时，针对二元离散响应于回归变量的情况，提出了一族统计模型。对于概率响应表划分为象限的每个双二分法（Pearson和Heron，1913年，《生物统计学》9，159 - 315），响应组成部分之间的关联用全局交叉比（象限概率的交叉积比）来表示。这些模型是对Plackett（1965年，《美国统计协会杂志》60，516 - 522）以及Mantel和Brown（1973年，《生物统计学》29，649 - 665）工作的扩展。边际累积概率可能满足线性逻辑回归或其他广义线性模型（McCullagh，1980年，《皇家统计学会杂志》，B辑42，109 - 142）。对患者术后疼痛水平和用药频率的分析说明了这些方法。
