Mathematical Sciences: Interblock Rank Tests

数学科学：块间等级测试

• 批准号: 8918318
• 负责人: Georgia Thompson
• 金额: $ 1.18万
• 依托单位: Southern Methodist University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-07-01 至 1990-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8918318&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Interblock; Rank; Tests

The research involves the study of interblock rank tests in statistics for univariate and multivariate factorial designs in which all of the dependent data is ranked without regard to block or variate membership. The study will include a comparison of the small sample properties, efficiency, and robustness properties of certain interblock rank statistics with the corresponding properties of aligned rank tests, rank transform procedures and intrablock rank tests. This will be extended to the asymptotic properties of linear rank statistics with dependent data under general alternatives. Research will also be conducted on the extension of certain approaches of generating intrablock rank test from metrics on permutations to include new interblock rank tests.

本研究涉及的研究区组间秩和检验， 单变量和多变量析因设计的统计量 所有相关数据都被排序，而不考虑块 或变量成员资格。 该研究将包括比较 小样本特性、效率和鲁棒性 某些块间秩统计的性质 对齐秩检验的相应性质，秩变换 程序和块内排名测试。 这将扩大到 线性秩统计量的渐近性质 一般替代方案下的相关数据。 研究还将 在某些生成方法的扩展上进行 块内排序测试从置换度量包括新的 区组间秩检验