Xuming He

  1. Detection of treatment effects by covariate-adjusted expected shortfall.

    Authors: Xuming He, Ya-Hui Hsu, Mingxiu Hu
    Subjects: Applications
    Abstract

    The statistical tests that are commonly used for detecting mean or median
    treatment effects suffer from low power when the two distribution functions
    differ only in the upper (or lower) tail, as in the assessment of the Total
    Sharp Score (TSS) under different treatments for rheumatoid arthritis. In this
    article, we propose a more powerful test that detects treatment effects through
    the expected shortfalls.

  2. Inference on low-rank data matrices with applications to microarray data.

    Authors: Xuming He, Xingdong Feng
    Subjects: Applications
    Abstract

    Probe-level microarray data are usually stored in matrices, where the row and
    column correspond to array and probe, respectively. Scientists routinely
    summarize each array by a single index as the expression level of each probe
    set (gene). We examine the adequacy of a unidimensional summary for
    characterizing the data matrix of each probe set. To do so, we propose a
    low-rank matrix model for the probe-level intensities, and develop a useful
    framework for testing the adequacy of unidimensionality against targeted
    alternatives.

  3. Efficient randomized-adaptive designs.

    Authors: Feifang Hu, Li-Xin Zhang, Xuming He
    Subjects: gr. Statistics
    Abstract

    Response-adaptive randomization has recently attracted a lot of attention in
    the literature. In this paper, we propose a new and simple family of
    response-adaptive randomization procedures that attain the Cramer--Rao lower
    bounds on the allocation variances for any allocation proportions, including
    optimal allocation proportions. The allocation probability functions of
    proposed procedures are discontinuous. The existing large sample theory for
    adaptive designs relies on Taylor expansions of the allocation probability
    functions, which do not apply to nondifferentiable cases.

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