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Designing a Logistic Regression Study using Surrogate Measures for Exposure and Outcome

利用暴露与结局替代测量设计逻辑回归研究

Suppose that a binary or polytomous outcome variable is related to a possibly continuous exposure variable through a logistic regression model, and that prior to sample selection subjects can be characterized according to ‘surrogates’ for outcome and exposure. The surrogate variables are assumed to satisfy certain conditional independence properties commonly used in errors-in-variables models. This paper considers the problem of using the surrogate variables to select…

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Analysis of Repeated Ordered Categorical Outcomes with Possibly Missing Observations and Time-Dependent Covariates

允许缺失观测与时变协变量的重复有序分类结果分析

This article describes a method for comparing responses in two groups of subjects observed repeatedly at a common set of observation times when the response is an ordered categorical outcome. The method, which allows both time-dependent covariates and missing observations, consists of two analytic steps. In the first step, the data are analyzed separately at each occasion using a regression model chosen from the class of models for ordinal data proposed by McCullagh (1980).…

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Influence Analysis of Generalized Least Squares Estimators

广义最小二乘估计量的影响分析

Influence analysis and leverage analysis are important and well-established adjuncts to ordinary least squares (OLS) regression, but analogous regression diagnostics are not generally available for multivariate regression problems. This article describes measures of influence and leverage for a generalized least squares (GLS) estimator of the regression coefficients in a class of multivariate linear models for repeated measurements. When the covariance matrix of the…

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Conditional Distribution-Free Tests for the Two-Sample Problem in the Presence of Right Censoring

右删失下两样本问题的条件分布无关检验

Two-sample rank tests for survival data in the presence of arbitrary right censoring are considered. We distinguish between administrative censoring, arising because survival study participants do not enter as a cohort, and censoring due to “loss to follow-up.” We show how conditionally distribution-free tests can be constructed in certain situations. Conditional versions of the generalized Wilcoxon and Mantel statistics are shown to be asymptotically normal in the…

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Conditional Distribution-Free Tests for the Two-Sample Problem in the Presence of Right Censoring

右删失下两样本问题的条件分布无关检验

Two-sample rank tests for survival data in the presence of arbitrary right censoring are considered. We distinguish between administrative censoring, arising because survival study participants do not enter as a cohort, and censoring due to “loss to follow-up.” We show how conditionally distribution-free tests can be constructed in certain situations. Conditional versions of the generalized Wilcoxon and Mantel statistics are shown to be asymptotically normal in the…

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The Fitting of Straight Lines When both Variables are Subject to Error and the Ranks of the Means are Known

双变量均有误差且均值排序已知时的直线拟合

Two methods, one based upon grouping, are proposed for fltting a regression line to bivariate data when the means of the observations have known order along the line. The two procedures are compared with respect to their limiting distributions and asymptotic efficiency. Criteria are given for choosing one of these procedures to fit the line.

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The Fitting of Straight Lines When Both Variables are Subject to Error and the Ranks of the Means are Known

双变量均有误差且均值排序已知时的直线拟合

Two methods, one based upon grouping, are proposed for fltting a regression line to bivariate data when the means of the observations have known order along the line. The two procedures are compared with respect to their limiting distributions and asymptotic efficiency. Criteria are given for choosing one of these procedures to fit the line.

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