A design-sensitive approach to fitting regression models with complex survey data
type: Item
instance of: scholarly article
title: A design-sensitive approach to fitting regression models with complex survey data
zbMATH Open document ID: 1383.62187
DOI: 10.1214/17-SS118
author: Phillip S. Kott
published in: Statistics Surveys
publication date: 2018-01-23T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.ssu/1516179619
review text: This survey article reviews generalized linear models of the form \(y_k = f(\mathbf{x}_k^T\mathbf{\beta}) + \epsilon_k\) in the context of survey sampling, summarizing earlier work of the author [J. Stat. Plann. Inference 129, No. 1--2, 263--277 (2005; Zbl 1058.62014)]. \(\mathrm{E}(\epsilon_k|\mathbf{x}_k) = 0\) is not assumed, but instead only uncorrelatedness, \(\mathrm{E}(\mathbf{x}_k \epsilon_k) = 0\). Weighted estimating equations, interpretations of parameters and relations to standard estimating approaches [\textit{W. A. Fuller}, Sankhyā, Ser. C 37, No. 3, 117--132 (1975; Zbl 0395.62009)] and [\textit{D. A. Binder}, Int. Stat. Rev. 51, 279--292 (1983; Zbl 0535.62014)] are discussed. While results from the two approaches are identical for many important cases, the cumulative logistic model is one instance where approaches diverge.
reviewed by: Philipp Doebler
Mathematics Subject Classification ID: 62J12
Mathematics Subject Classification ID: 62D05
Mathematics Subject Classification ID: 62-02
zbMATH DE Number: 6828646
zbMATH Keywords: pseudo-maximum likelihood
zbMATH Keywords: design-based
zbMATH Keywords: generalized cumulative logistic model
describes a project that uses: SUDAAN
MaRDI profile type: Publication
cites work: On the Variances of Asymptotically Normal Estimators from Complex Surveys
cites work: Calibration Estimators in Survey Sampling
cites work: Approximate Tests of Independence and Goodness of Fit Based on Stratified Multistage Samples
cites work: Q4178320
cites work: Estimating equations in the presence of a nuisance parameter
cites work: Inference for superpopulation parameters using sample surveys
cites work: Sampling with Unequal Probabilities and without Replacement
cites work: Specification Tests in Econometrics
cites work: Q4187195
cites work: Randomization-assisted model-based survey sampling
cites work: Q4779059
cites work: Sampling: design and analysis
cites work: Fitting regression models to survey data
cites work: The Role of Sampling Weights When Modeling Survey Data
cites work: Parametric and semi-parametric estimation of regression models fitted to survey data
cites work: The Analysis of Categorical Data From Complex Sample Surveys: Chi-Squared Tests for Goodness of Fit and Independence in Two-Way Tables
cites work: Model assisted survey sampling
cites work: Using Least Squares to Approximate Unknown Regression Functions
OpenAlex ID: W2784435258
description: scientific article; zbMATH DE number 6828646