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首页> 外文期刊>Biometrical Journal >Application of Goodman-Kruskal's Gamma for Ordinal Data in Comparing Several Ordered Treatments: A Different Approach
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Application of Goodman-Kruskal's Gamma for Ordinal Data in Comparing Several Ordered Treatments: A Different Approach

机译:Goodman-Kruskal的Gamma在序数数据比较几种有序处理中的应用:不同的方法

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A commonly used measure of ordinal association in two-way contingency tables is Goodman and Kruskal's gamma. In a randomized clinical trial setting, the row variable may consist of increasing doses of a drug and placebo (i.e., treatments) and the column variable may be an ordinal response variable (e.g., physician's global evaluation of treatment effectiveness). Typically, patients are randomly assigned to treatments (rows) such that the row totals are fixed and the rows form a product-multinomial sample of the ordinal response variable. For the above situation, we provide the asymptotic variance of gamma using the delta method. The population version of gamma and its standard error can be estimated by their sample counterparts, enabling us to construct approximate tests and confidence intervals using the normal distribution.
机译:在双向列联表中,序数关联的一种常用量度是Goodman和Kruskal的伽玛。在随机临床试验中,行变量可以包括增加药物和安慰剂的剂量(即治疗),列变量可以是序数响应变量(例如,医师对治疗效果的整体评估)。通常,将患者随机分配到治疗(行),以使行总数固定,行形成序数响应变量的乘积多项式样本。对于上述情况,我们使用增量法提供了伽玛的渐近方差。伽玛的总体版本及其标准误可以由其对应的样本估算,这使我们能够使用正态分布构造近似检验和置信区间。

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