统计假设检验的诊断与数值影响分析

Diagnosis and Numerical Influence Analysis for Statistical Hypothesis Tests

本文对统计假设检验引入诊断与影响分析的概念,对参数和非参数假设检验进行了数值影响分析,由此表明统计诊断与影响分析在假设检验与统计推断中是必不可少的一个环节.最后建议了一个参考性诊断统计量.

In this paper we introduce the concepts of diagnosis and influence analysis into the statistical hypothesis tests. For the cases of parameter and non-parameter hypothesis tests,we have made the numerical influence analysis. These show that diagnosis and influence analysis are the indispensable links in the hypothesis tests and the statistical inference. Finally we suggest a reference diagnosis statistic.