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Journal of the American Statistical Association Volume 97, 2002 - Issue 458
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Primary Article

Hierarchical Bayesian Nonresponse Models for Binary Data From Small Areas With Uncertainty About Ignorability

Balgobin Nandram Balgobin Nandram is Associate Professor, Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, MA 01609. Jai Won Choi is Mathematical Statistician, National Center for Health Statistics, Hyattsville, MD 20782. This work was done while the first author was the first ASA/NCHS Research Fellow at the National Center For Health Statistics, Hyattsville, MD. The authors thank the two referees, the associate editor, editor, Donald Malec and Joseph Sedransk for their comments, which greatly improved the quality of the article.
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Jai Won Choi Balgobin Nandram is Associate Professor, Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, MA 01609. Jai Won Choi is Mathematical Statistician, National Center for Health Statistics, Hyattsville, MD 20782. This work was done while the first author was the first ASA/NCHS Research Fellow at the National Center For Health Statistics, Hyattsville, MD. The authors thank the two referees, the associate editor, editor, Donald Malec and Joseph Sedransk for their comments, which greatly improved the quality of the article.
Pages 381-388 | Published online: 31 Dec 2011

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Dilli Bhatta, Balgobin Nandram & Joseph Sedransk. (2018) Bayesian testing for independence of two categorical variables under two-stage cluster sampling with covariates. Journal of Applied Statistics 45:13, pages 2365-2393.
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Seongyoung Kim & Yousung Park. (2015) Power-linear models for incomplete contingency tables with nonignorable non-responses. Statistics 49:6, pages 1189-1203.
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Balgobin Nandram & Jai Won Choi. (2010) A Bayesian Analysis of Body Mass Index Data From Small Domains Under Nonignorable Nonresponse and Selection. Journal of the American Statistical Association 105:489, pages 120-135.
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Balgobin Nandram. (2009) Bayesian Inference of the Cell Probabilities of a Two-Way Categorical Table Under Non Ignorability. Communications in Statistics - Theory and Methods 38:16-17, pages 3015-3030.
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Nathan Berg & Donald Lien. (2006) Same-sex sexual behaviour: US frequency estimates from survey data with simultaneous misreporting and non-response. Applied Economics 38:7, pages 757-769.
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Balgobin Nandram & Jai Won Choi . (2004) Nonparametric Bayesian analysis of a proportion for a small area under nonignorable nonresponse. Journal of Nonparametric Statistics 16:6, pages 821-839.
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Articles from other publishers (18)

Kori Khan & Alicia Carriquiry. (2023) Hierarchical Bayesian non-response models for error rates in forensic black-box studies. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 381:2247.
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Ruobin Gong, Joseph B. Kadane, Mark J. Schervish, Teddy Seidenfeld & Rafael B. Stern. (2022) Learning and total evidence with imprecise probabilities. International Journal of Approximate Reasoning 151, pages 21-32.
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Rebecca R. AndridgeRoderick J.A. Little. (2020) Proxy Pattern-Mixture Analysis for a Binary Variable Subject to Nonresponse. Journal of Official Statistics 36:3, pages 703-728.
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Aziz Omar & Thomas Augustin. (2019) Estimation of classification probabilities in small domains accounting for nonresponse relying on imprecise probability. International Journal of Approximate Reasoning 115, pages 134-143.
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Balgobin Nandram & Yuan Yu. (2018) Bayesian Analysis of a Sensitive Proportion for a Small Area. International Statistical Review 87:S1.
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Tian Li, Julian M. Somers, Xiaoqiong J. Hu & Lawrence C. McCandless. (2019) Bayesian Sensitivity Analysis for Non-ignorable Missing Data in Longitudinal Studies. Statistics in Biosciences 11:1, pages 184-205.
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Aziz Omar & Thomas Augustin. 2019. Uncertainty Modelling in Data Science. Uncertainty Modelling in Data Science 175 182 .
Anna Sikov. (2018) A Brief Review of Approaches to Non-ignorable Non-response. International Statistical Review 86:3, pages 415-441.
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Kazem Khalagi, Mohammad Ali Mansournia, Seyed-Abbas Motevalian, Keramat Nourijelyani, Afarin Rahimi-Movaghar & Mahmood Bakhtiyari. (2017) An ad hoc method for dual adjusting for measurement errors and nonresponse bias for estimating prevalence in survey data: Application to Iranian mental health survey on any illicit drug use. Statistical Methods in Medical Research 27:10, pages 3062-3076.
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Nanhua Zhang, Henian Chen & Michael R. Elliott. (2016) Nonrespondent Subsample Multiple Imputation in Two-Phase Sampling for Nonresponse. Journal of Official Statistics 32:3, pages 769-785.
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J.N.K. Rao & Isabel Molina. 2015. Small Area Estimation. Small Area Estimation 405 430 .
Emily J. Berg & Wayne A. Fuller. (2014) Small Area Prediction of Proportions with Applications to the Canadian Labour Force Survey. Journal of Survey Statistics and Methodology 2:3, pages 227-256.
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Xiaodong Li, Jingchen LiuNaihua DuanHuiping JiangRagy GirgisJeffrey Lieberman. (2014) Cumulative sojourn time in longitudinal studies: a sequential imputation method to handle missing health state data due to dropout. Statistics in Medicine 33:12, pages 2030-2047.
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Xiaoming Gao, Chong He & Dongchu Sun. (2014) A Bayesian spatial model with auxiliary covariates to assess and adjust nonignorable nonresponse. Spatial Statistics 8, pages 122-144.
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Ryan Janicki & Donald Malec. (2013) A Bayesian model averaging approach to analyzing categorical data with nonignorable nonresponse. Computational Statistics & Data Analysis 57:1, pages 600-614.
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Jacob J. Oleson & Chong Z. He. (2008) Adjusting Nonresponse Bias at Subdomain Levels using Multiple Response Phases. Biometrical Journal 50:1, pages 58-70.
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Balgobin Nandram, Ning Liu, Jai Won Choi & Lawrence Cox. (2004) Bayesian non‐response models for categorical data from small areas: an application to BMD and age. Statistics in Medicine 24:7, pages 1047-1074.
Crossref
Jacob J. Oleson & Chong Z. He. (2004) Hierarchical Bayesian Modeling in Dichotomous Processes in the Presence of Nonresponse. Biometrics 60:1, pages 50-59.
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