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Approximate median regression for complex survey data with skewed response.

Title: Approximate median regression for complex survey data with skewed response.
Name(s): Fraser, Raphael André, author
Lipsitz, Stuart R, author
Sinha, Debajyoti, author
Fitzmaurice, Garrett M, author
Pan, Yi, author
Type of Resource: text
Genre: Journal Article
Date Issued: 2016-12-01
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: The ready availability of public-use data from various large national complex surveys has immense potential for the assessment of population characteristics using regression models. Complex surveys can be used to identify risk factors for important diseases such as cancer. Existing statistical methods based on estimating equations and/or utilizing resampling methods are often not valid with survey data due to complex survey design features. That is, stratification, multistage sampling, and weighting. In this article, we accommodate these design features in the analysis of highly skewed response variables arising from large complex surveys. Specifically, we propose a double-transform-both-sides (DTBS)'based estimating equations approach to estimate the median regression parameters of the highly skewed response; the DTBS approach applies the same Box-Cox type transformation twice to both the outcome and regression function. The usual sandwich variance estimate can be used in our approach, whereas a resampling approach would be needed for a pseudo-likelihood based on minimizing absolute deviations (MAD). Furthermore, the approach is relatively robust to the true underlying distribution, and has much smaller mean square error than a MAD approach. The method is motivated by an analysis of laboratory data on urinary iodine (UI) concentration from the National Health and Nutrition Examination Survey.
Identifier: FSU_pmch_27062562 (IID), 10.1111/biom.12517 (DOI), PMC5055849 (PMCID), 27062562 (RID), 27062562 (EID)
Keywords: Complex survey, Median regression, Quantile regression, Sandwich estimator, Transform-both-sides
Grant Number: R01 GM029745, R03 CA205018, R01 CA069222, R01 CA160679, R01 AI060373, P01 CA068484, R01 CA074015
Publication Note: This NIH-funded author manuscript originally appeared in PubMed Central at
Subject(s): Clinical Laboratory Services/statistics & numerical data
Models, Statistical
Regression Analysis
Surveys and Questionnaires
Persistent Link to This Record:
Host Institution: FSU
Is Part Of: Biometrics.
Issue: iss. 4, vol. 72

Choose the citation style.
Fraser, R. A., Lipsitz, S. R., Sinha, D., Fitzmaurice, G. M., & Pan, Y. (2016). Approximate median regression for complex survey data with skewed response. Biometrics. Retrieved from