Ordinal dominance curve based inference for stochastically ordered distributions

• 成果类型: Article
• 署名作者: Davidov, Ori; Herman, Amir
• 署名单位: University of Haifa
• 刊物名称: JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY
• ISSN/ISSBN: 1369-7412
• DOI: 10.1111/j.1467-9868.2012.01031.x
• 发表日期: 2012
• 页码: 825-847
• 关键词: likelihood ratio test; dose levels; tests; AREA

摘要

. In a variety of applications researchers collect data that are sampled under ordered experimental conditions. In such situations it is reasonable to assume that outcomes are ordered stochastically by the level of the treatment. For example a toxicologist may want to assess the effect of a toxin on the reproductive system by studying the number of offspring produced by an animal as a function of the dose that it received. A variety of scientific questions arise in such a context. The most basic is whether a doseresponse relationship is present. If so, determining the minimal toxic dose is of great interest. The strength of the ordering between groups i