Statistical Methods for Multilinear Models and Structured Multivariate Responses (Statistics and Probability): VPW

研究者将开发用于测试的统计方法 对于多线性模型中的模式，甚至 当图案化模型的参数不能被 鉴定 纳入的统计方法 非参数平滑和协变量时，多个向量 还将制定关于每个主题的衡量标准。 详细的真实的 将分析实例来说明方法， 证明其适用性。 低秩模型对三向数据阵列的拟合 抑制噪声是一个活跃的研究领域， 在化学计量学和心理计量学中的应用 项目 促进VPW计划目标，为以下方面提供机会： 女性在科学或工程领域的职业发展 通过研究，并鼓励其他妇女追求 在这些领域的职业生涯，通过调查人员的增强 在主办校园中树立榜样。 在这 第二个项目的拟议活动， 目标包括：积极参与和给予 生物统计学研讨会（一个联合企业） 统计系和医学院之间 在秋季每周举行两次会议）;给予 她给统计系的教员做了关于她的研究的讲座 和研究生作为双周系列讲座的一部分; 参与部门的合作计划 与来自世界各地的活跃研究科学家进行研究 大学;并与本科生开会讨论 统计学的职业机会。

The investigator will develop statistical methods for testing for patterns in multilinear models, methods applicable even when the parameters of the patterned model cannot be identified. Statistical methodology for incorporating nonparametric smoothing and covariates when several vectors are measured on each subject will also be developed. Detailed real examples will be analyzed to illustrate the methods and demonstrate their applicability. The fitting of a low-rank model to a three-way data array containing noise is an active area of research with important applications in chemometrics and psychometrics. The project furthers VPW program objectives to provide opportunities for women to advance their careers in science or engineering through research, and to encourage other women to pursue careers in these areas through the investigators' enhanced visibility as role models on the host campuses. In this project, the proposed activities which contribute to the second objective include: actively participating in and giving lectures for the Biostatistics Workshop (a joint enterprise between the Department of Statistics and the School of Medicine which meets twice weekly during the Fall Quarter); giving lectures on her research to the Statistics Department's faculty and graduate students as part of a biweekly lecture series; participating in the Department's program of collaborative research with active research scientists from around the University; and meeting with undergraduate majors to discuss career opportunities in Statistics.