Colloquium, Department of Mathematics and Statistics
Colloquium, Department of Mathematics and Statistics
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Duan Chen

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Friday, November 20, 2020, 10am – 11am via Zoom

November 10, 2020 by Qingning Zhou
Categories: Spring 2022

Speaker: Dr. Kin Yau Wong from the Hong Kong Polytechnic University

Date and time: Friday, November 20, 2020, 10am – 11am via Zoom. Please contact Qingning Zhou to obtain the Zoom link.

Title: Score Tests with Incomplete Covariates and High-Dimensional Auxiliary Variables

Abstract: Analysis of modern biomedical data is often complicated by the presence of missing values. To improve statistical efficiency, it is desirable to make use of potentially high-dimensional observed variables to impute or predict the missing values. Although many methods have been developed for prediction using high-dimensional variables, it is challenging to perform valid inference based on the predicted values. In this presentation, we develop an association test for an outcome variable and a potentially missing covariate, where the covariate can be predicted using selected variables from a set of high-dimensional auxiliary variables. We establish the validity of the test under general model selection procedures. We demonstrate the validity of the proposed method and its advantages over existing methods through extensive simulation studies and provide an application to a major cancer genomics study.

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