Mathematical Sciences: Testing Hypothesis Using Components of Pearson's Phi-Squared Distance Measure

该建议侧重于统计假设检验方法的具体应用开发的调查者和基于皮尔逊phi。平方距离测量。目标项目包括对称检验、k个样本分布的相等性检验和使用有序分类数据的检验。研究人员建议对他们开发的统计假设检验的一般方法进行几种应用。这些应用将扩展科学家可用的数学工具，以确定自然差异和确定这种差异的性质。

This proposal focuses on specific applications of a statistical hypothesis testing approach developed by the investigators and based on the Pearson phi.squared distance measure. Targeted projects include tests for symmetry, tests for equality of distributions for k samples and tests with ordered categorical data. The investigators propose to work on several applications of a general approach to statistical hypothesis testing that they developed. These applications will extend the mathematical tools available to scientists for determining natural differences and establishing the nature of such differences.