A regression shrinkage method tailored to qualitative regressors and clustered data.

Neumann A; Holstein J; Chatellier G; Lepage E

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A regression shrinkage method tailored to qualitative regressors and clustered data.

机译：针对定性回归变量和聚类数据量身定制的回归收缩方法。

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We propose a shrinkage method for estimation in linear regression models with qualitative regressors. Due to the nature of the shrinkage constraint, this method tends to give estimates that are exactly zero for some groups of coefficients belonging to the same regressor. The method hence results in concise models, since some of the regressors are entirely eliminated. In conjunction with this estimation method, a model with a fixed cluster effect turns out to be closely related to frailty models. We apply the method for modelling hospital readmissions.

机译：我们提出了一种用于定性回归的线性回归模型估计的收缩方法。由于收缩约束的性质，对于属于同一回归变量的某些系数组，此方法倾向于给出的估计值恰好为零。由于完全消除了某些回归变量，因此该方法可生成简洁的模型。结合这种估计方法，具有固定聚类效应的模型被证明与脆弱模型密切相关。我们应用该方法对医院再入院进行建模。

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《Statistics in medicine》 |2004年第7期|共11页
作者
Neumann A; Holstein J; Chatellier G; Lepage E;
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正文语种 eng
中图分类基础医学;
关键词
Cluster Analysis; Models; Statistical; 聚类分析; 模型; 统计学;

机译：Cluster Analysis;Models;Statistical;聚类分析;模型;统计学;

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1. A regression shrinkage method tailored to qualitative regressors and clustered data. [J] . Neumann A, Holstein J, Chatellier G, Statistics in medicine . 2004,第7期

机译：针对定性回归变量和聚类数据量身定制的回归收缩方法。
2. A comparison of regression approaches for analyzing clustered data. [J] . Desai M, Begg MD American journal of public health . 2008,第8期

机译：比较分析聚类数据的回归方法。
3. Using bivariate models to understand between- and within-cluster regression coefficients, with application to twin data. [J] . Gurrin LC, Carlin JB, Sterne JA, Biometrics: Journal of the Biometric Society : An International Society Devoted to the Mathematical and Statistical Aspects of Biology . 2006,第3期

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4. Orthogonal Shrinkage Methods for Nonparametric Regression under Gaussian Noise [C] . Katsuyuki Hagiwara International Conference on Neural Information Processing;ICONIP 2007 . 2008

机译：高斯噪声下非参数回归的正交收缩法
5. Bayesian Shrinkage Methods for High Dimensional Regression [D] . Kim, Youngseok. 2020

机译：高维回归的贝叶斯萎缩方法
6. Shrinkage regression-based methods for microarray missing value imputation [O] . Hsiuying Wang, Chia-Chun Chiu, Yi-Ching Wu, 2013

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A regression shrinkage method tailored to qualitative regressors and clustered data.

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