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Modeling and Monitoring Biomedical Time Series

生物医学时间序列的建模与监测

A framework for modeling and monitoring medical time series is developed, based on extensions to the linear dynamic model. The approach is designed to provide for on-line, recursive updating and inference for time series that are subject to several forms of potential discontinuous change, and that may have missing values. The models and methods introduced are illustrated with three biomedical series.

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Multinomial Runs Tests to Detect Clustering in Constrained Free Recall

用于检测受约束自由回忆中聚集现象的多项游程检验

Psychologists often want to detect category structure in subjects' free recall protocols. Although runs tests based on the binomial distribution are commonly used to detect nonrandomness within a sequence, many research situations require tests based on the multinomial distribution. We propose a test of randomness versus clustering based on the number of runs in multinomial data. We illustrate its use with data from a mass communication experiment using a constrained free…

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Estimating the Electoral Consequences of Legislative Redistricting

估计立法选区重划的选举后果

We analyze the effects of redistricting as revealed in the votes received by the Democratic and Republican candidates for state legislature. We develop measures of partisan bias and the responsiveness of the composition of the legislature to changes in statewide votes. Our statistical model incorporates a mixed hierarchical Bayesian and non-Bayesian estimation, requiring simulation along the lines of Tanner and Wong (1987). This model provides reliable estimates of partisan…

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Transformation and Weighting in Regression.

回归中的变换与加权

Introduction. Generalized Least Squares and the Analysis of Heteroscedasticity. Estimation and Inference for Variance Functions. The Transform-Both-Sides Methodology. Combining Transformations and Weighting. Influence and Robustness. Technical Complements. Some Open Problems. References. Index.

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Components of Pearson's Phi-Squared Distance Measure for the k-Sample Problem

k 样本问题中 Pearson φ² 距离度量的分量

Abstract A general approach to the k-sample problem for continuous random variables, based on a generalization of Pearson's classical φ2 measure, is presented. Tests are developed by considering an analysis of variance type of orthogonal decomposition of a distance measure for a k-population goodness-to-fit hypothesis. Estimates of some of these components are shown to provide test statistics for the hypothesis that the k-populations have a common distribution. Several…

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Influence on Confidence Regions for Regression Coefficients in Generalized Linear Models

广义线性模型回归系数置信区域的影响诊断

Influence on confidence regions has received less attention than the problem of influence on regression coefficients in generalized linear models. Diagnostics are given for examining influence on confidence intervals or the confidence region for all of the regression coefficients. These diagnostics permit one to check whether the standard errors of the coefficients are sensitive to the exact specification of case weights, or the observed values of the explanatory variables…

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Multinomial Runs Tests to Detect Clustering in Constrained Free Recall

检测受限自由回忆中聚集现象的多项游程检验

Psychologists often want to detect category structure in subjects' free recall protocols. Although runs tests based on the binomial distribution are commonly used to detect nonrandomness within a sequence, many research situations require tests based on the multinomial distribution. We propose a test of randomness versus clustering based on the number of runs in multinomial data. We illustrate its use with data from a mass communication experiment using a constrained free…

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Estimating the Electoral Consequences of Legislative Redistricting

估计立法选区重划的选举后果

We analyze the effects of redistricting as revealed in the votes received by the Democratic and Republican candidates for state legislature. We develop measures of partisan bias and the responsiveness of the composition of the legislature to changes in statewide votes. Our statistical model incorporates a mixed hierarchical Bayesian and non-Bayesian estimation, requiring simulation along the lines of Tanner and Wong (1987). This model provides reliable estimates of partisan…

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Order Restricted Statistical Inference.

序约束统计推断

Isotonic Regression. Tests of Ordered Hypotheses: The Normal Means Case. Tests of Ordered Hypotheses: Generalizations of the Likelihood Ratio Tests and Other Procedures. Inferences about a Set of Multinomial Parameters. Duality. Inferences Regarding Distributions Subject to Shape Restrictions. Conditional Expectation Given a sigma-lattice: Projections in a More General Setting. Complements. Tables. Bibliography and Related References. Index. Symbols and Acronyms.

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Sensitivity of Two-Sample Permutation Inferences in Observational Studies

观察性研究中两样本置换推断的敏感性

In observational studies, subjects are not randomly assigned to treatment or control, so they may differ in their chances of receiving the treatment. A simple method is developed and demonstrated for displaying the sensitivity of conventional two-group permutation inferences to departures from random assignment of treatments. The unmatched case, discussed here, differs in certain technical and computational details from the matched case, discussed previously; however, the…

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A Multivariate Generalization of Quantile-Quantile Plots

分位数—分位数图的多元推广

In this article we present a multivariate generalization of quantile-quantile (Q-Q) plots. Like univariate Q-Q plots, these plots are useful for examining the distributional shape of multivariate point clouds. These plots are based on finding a matching between the points of the data set whose shape is being examined and a reference sample. Graphical displays of how well the point clouds match are then developed. The reference sample used as the basis for comparison is…

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An Iterative Approach to Two-Dimensional Laplacian Smoothing with Application to Image Restoration

二维拉普拉斯平滑的迭代方法及其图像修复应用

Smoothing methods are increasingly important in modern graphically oriented data analysis. There are several fast and reliable univariate cross-validated smoothing algorithms, but comparable methods are not available in higher dimensions. This article develops an iterative approach to two-dimensional Laplacian spline smoothing based on tensor-product cubic B splines. Estimating equations are developed and solved iteratively using two-line symmetric successive over relaxation…

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Pseudolikelihood Estimation for Social Networks

社会网络的伪似然估计

Interest in log-linear modeling for social-network data has grown steadily since Holland and Leinhardt (1981) proposed their p 1 model. That model was designed for a single binary relationship (directed graph) representing interactions between individuals. It assumed that interactions between pairs of individuals are mutually independent. Subsequent work has extended the model in various ways, including block-modeling and the case of dependence between pairs of individuals.…

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Pseudo-Maximum Likelihood Estimation of Mean and Covariance Structures with Missing Data

缺失数据下均值与协方差结构的伪最大似然估计

A nonlinear mean- and covariance-structure model for one or more groups is constructed. The model subsumes the usual linear model considered in the literature. It is then shown how to estimate the parameters of the model and the asymptotic covariance matrix of the parameter estimates using pseudo-maximum likelihood (PML) estimation. The resulting estimates are strongly consistent under general regularity conditions, provided only that the model for the first two moments is…

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Outliers and Credence for Location Parameter Inference

位置参数推断中的异常值与尾部可信度

Heavy-tailed distributions are important for modeling problems in which there may be outlying observations or parameters. Examples of their use are given in O'Hagan (1988). This article develops some general theory, based on the notion of credence, for inference about unknown location parameters in the case of known variances. A density on the real line is defined to have credence c if it is bounded above and below by positive multiples of (1 + x 2)-c/2. For instance, a t…

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The Estimation of the Mean Squared Error of Small-Area Estimators

小区域估计量的均方误差估计

Small-area estimation has received considerable attention in recent years because of a growing demand for reliable small-area statistics. The direct-survey estimators, based only on the data from a given small area (or small domain), are likely to yield unacceptably large standard errors because of small sample size in the domain. Therefore, alternative estimators that borrow strength from other related small areas have been proposed in the literature to improve the…

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