Basic and Applied Statistical Inference and Measurement

在过去的十年里，统计数据和推断 在确定用于以下目的的基本事实方面发挥了重要作用： 公共政策，例如估计艾滋病或艾滋病毒的流行率 感染，确定职业或 环境风险，评估收入变化 分配和法律的设置，如税务评估 不平等 这个项目的目的是研究统计 在这些情况下出现的问题，并制定适当的 概率模型和统计方法， 溶液 流行率估计程序研究 一种罕见的疾病， 在测试之前将单个样品分成批次是一个主要目标。 这些方法应使卫生专家能够获得 公众作为感染者和非感染者的合作 被错误分类（假阳性）的感染者不会 被识别。 稳健的方法，导致统计有效 当几个科学上合理的模型可能 数据的基础，或者当一些观察结果可能是错误的 将继续受到重视。 联合国最近的法律的决定 平等就业领域提出了新的问题 歧视的衡量。 计划调查 在沃森诉沃斯堡银行案中使用的统计方法， 研究沃德湾案的影响， 数据和分析方法。 法律的中出现的相关问题 和经济应用，例如群体数据的分析，也 将进行调查。

Over the last decade statistical data and inference have played an important role in establishing the basic facts used for public policy, e.g.estimating the prevalence of AIDS or HIV infection, determining the risk of cancer from occupational or environmental exposures, assessing changes in the income distribution and in the legal setting, e.g. tax assessment inequality. The purpose of this project is to study statistical problems arising in these contexts and to develop appropriate probability models and statistical methodology for their solution. Research on procedures for estimating the prevalence of a rare disease which preserve anonymity by combining individual samples into batches prior to testing is a major goal. These methods should enable health specialists to obtain the cooperation of the public as infected individuals and non- infected persons who are misclassified (false positive) will not be identified. Robust methods which lead to statistically valid inferences when several scientifically plausible models may underlie the data or when a few observations may be erroneous will continue to be emphasized. Recent legal decisions in the equal employment area have raised new questions concerning the measurement of discrimination. It is planned to investigate the statistical approaches used in Watson v. Fort Worth Bank and to examine the implications of the Ward's Cove case for more refined data and methods of analysis. Related problems arising in legal and economic applications, e.g. the analysis of group data, also will be investigated.