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多应答数据下列联表的检验
引用本文:张忠占,吴联海. 多应答数据下列联表的检验[J]. 应用概率统计, 2008, 24(3): 240-246
作者姓名:张忠占  吴联海
作者单位:北京工业大学应用数理学院,北京,100124
基金项目:北京市属市管高校人才强教计划 , 北京市自然科学基金 , 国家自然科学基金
摘    要:本文讨论多应答数据(Multiple Column Responses)下列联表的独立性检验问题, 针对对立假设为序假设的情形, 提出一个近似$F$检验. 模拟表明, 该检验的名义水平与真实水平接近, 并有较高的功效.

关 键 词:相关性检验  线性模型  $chi^2$检验  $F$检验.

A Test of Association for Contingency Tables with Multiple Column Responses
ZHANG ZHONGZHAN,WU LIANHAI. A Test of Association for Contingency Tables with Multiple Column Responses[J]. Chinese Journal of Applied Probability and Statisties, 2008, 24(3): 240-246
Authors:ZHANG ZHONGZHAN  WU LIANHAI
Affiliation:Institute of Statistics, Beijing University of Technology
Abstract:We consider the test of independence in contengence tables with multiple column responses in this paper. For the case that the alternative hypothesis refers to monotone trends, we propose an approximate $F$ test based on artificial parameter and regression model. The method eliminates the estimation of correlative coefficients, which are hardly to estimate in contingency tableswith multiple column responses. Simulation results show that the true significant level of the test is near to the nominal one, and has good power.
Keywords:Test of association  linear model  chi-square test  $F$ test.
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