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作者：Cui, Y.; Hannig, J.
作者单位：University of Pennsylvania; University of North Carolina; University of North Carolina Chapel Hill
摘要：Since the introduction of fiducial inference by Fisher in the 1930s, its application has been largely confined to relatively simple, parametric problems. In this paper, we present what might be the first time fiducial inference is systematically applied to estimation of a nonparametric survival function under right censoring. We find that the resulting fiducial distribution gives rise to surprisingly good statistical procedures applicable to both one-sample and two-sample problems. In particul...
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作者：Cai, T. T.; Li, H.; Ma, J.; Xia, Y.
作者单位：University of Pennsylvania; University of Pennsylvania; Fudan University
摘要：Micro-organisms such as bacteria form complex ecological community networks that can be greatly influenced by diet and other environmental factors. Differential analysis of microbial community structures aims to elucidate systematic changes during an adaptive response to changes in environment. In this paper, we propose a flexible Markov random field model for microbial network structure and introduce a hypothesis testing framework for detecting differences between networks, also known as diff...
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作者：Zhou, Yongdao; Tang, Boxin
作者单位：Nankai University; Simon Fraser University
摘要：Strong orthogonal arrays have better space-filling properties than ordinary orthogonal arrays for computer experiments. We consider column-orthogonal strong orthogonal arrays of strength two plus and three minus, and present methods of constructing such designs. Several situations are examined, including those of four or higher levels and mixed levels. The methods are based on both regular and nonregular designs. The resulting designs inherit the good property of strong orthogonal arrays of st...
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作者：Kundu, Prosenjit; Tang, Runlong; Chatterjee, Nilanjan
作者单位：Johns Hopkins University; Johns Hopkins Bloomberg School of Public Health
摘要：Meta-analysis is widely popular for synthesizing information on common parameters of interest across multiple studies because of its logistical convenience and statistical efficiency. We develop a generalized meta-analysis approach to combining information on multivariate regression parameters across multiple studies that have varying levels of covariate information. Using algebraic relationships among regression parameters in different dimensions, we specify a set of moment equations for esti...
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作者：Jiang, F.; Ma, Y.; Wei, Y.
作者单位：University of Hong Kong; Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park; Columbia University
摘要：Rapid improvement in technology has made it relatively cheap to collect genetic data, however statistical analysis of existing data is still much cheaper. Thus, secondary analysis of single-nucleotide polymorphism, SNP, data, i.e., reanalysing existing data in an effort to extract more information, is an attractive and cost-effective alternative to collecting new data. We study the relationship between gene expression and SNPs through a combination of factor analysis and dimension reduction es...
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作者：Mueller, U. U.; Van Keilegom, I.
作者单位：Texas A&M University System; Texas A&M University College Station; KU Leuven
摘要：We consider models for time-to-event data that allow that an event, e.g., a relapse of a disease, never occurs for a certain percentage of the population, called the cure rate. We suppose that these data are subject to random right censoring and we model the data using a mixture cure model, in which the survival function of the uncured subjects is left unspecified. The aim is to test whether the cure rate , as a function of the covariates, satisfies a certain parametric model. To do so, we pro...
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作者：Ramdas, Aaditya; Chen, Jianbo; Wainwright, Martin J.; Jordan, Michael I.
作者单位：Carnegie Mellon University; University of California System; University of California Berkeley
摘要：We propose a linear-time, single-pass, top-down algorithm for multiple testing on directed acyclic graphs, where nodes represent hypotheses and edges specify a partial ordering in which the hypotheses must be tested. The procedure is guaranteed to reject a sub-directed acyclic graph with bounded false discovery rate while satisfying the logical constraint that a rejected node's parents must also be rejected. It is designed for sequential testing settings where the directed acyclic graph struct...
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作者：Goeman, Jelle; Meijer, Rosa; Krebs, Thijmen; Solari, Aldo
作者单位：Leiden University - Excl LUMC; Leiden University; Leiden University Medical Center (LUMC); Parnassia Psychiatric Institute; Delft University of Technology; University of Milano-Bicocca
摘要：Closed testing procedures are classically used for familywise error rate control, but they can also be used to obtain simultaneous confidence bounds for the false discovery proportion in all subsets of the hypotheses, allowing for inference robust to post hoc selection of subsets. In this paper we investigate the special case of closed testing with Simes local tests. We construct a novel fast and exact shortcut and use it to investigate the power of this approach when the number of hypotheses ...
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作者：McKennan, Chris; Nicolae, Dan
作者单位：University of Chicago
摘要：An important phenomenon in high-throughput biological data is the presence of unobserved covariates that can have a significant impact on the measured response. When these covariates are also correlated with the covariate of interest, ignoring or improperly estimating them can lead to inaccurate estimates of and spurious inference on the corresponding coefficients of interest in a multivariate linear model. We first prove that existing methods to account for these unobserved covariates often i...
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作者：Alhorn, K.; Schorning, K.; Dette, H.
作者单位：Dortmund University of Technology; Ruhr University Bochum
摘要：We consider the problem of designing experiments for estimating a target parameter in regression analysis when there is uncertainty about the parametric form of the regression function. A newoptimality criterion is proposed that chooses the experimental design to minimize the asymptotic mean squared error of the frequentist model averaging estimate. Necessary conditions for the optimal solution of a locally and Bayesian optimal design problem are established. The results are illustrated in sev...
