Response-based multiple imputation method for minimizing the impact of covariate detection limit in logistic regression

Article

Hossain, Shahadut, Hoque, Zahirul and Wesolowski, Jacek. 2021. "Response-based multiple imputation method for minimizing the impact of covariate detection limit in logistic regression." Communications in Statistics: Theory and Methods. 50 (2), pp. 371-386. https://doi.org/10.1080/03610926.2019.1635699

Article Title	Response-based multiple imputation method for minimizing the impact of covariate detection limit in logistic regression
ERA Journal ID	791
Article Category	Article
Authors	Hossain, Shahadut, Hoque, Zahirul and Wesolowski, Jacek
Journal Title	Communications in Statistics: Theory and Methods
Journal Citation	50 (2), pp. 371-386
Number of Pages	16
Year	2021
Publisher	Taylor & Francis
Place of Publication	United States
ISSN	0361-0926
	1532-415X
Digital Object Identifier (DOI)	https://doi.org/10.1080/03610926.2019.1635699
Web Address (URL)	https://www.tandfonline.com/doi/abs/10.1080/03610926.2019.1635699
Abstract	Presence of detection limit (DL) in covariates causes inflated bias and inaccurate mean squared error to the estimators of the regression parameters. This paper suggests a response-driven multiple imputation method to correct the deleterious impact introduced by the covariate DL in the estimators of the parameters of simple logistic regression model. The performance of the method has been thoroughly investigated, and found to outperform the existing competing methods. The proposed method is computationally simple and easily implementable by using three existing R libraries. The method is robust to the violation of distributional assumption for the covariate of interest.
Keywords	Detection limit; left-truncation; logistic regression; multiple lmputation
Contains Sensitive Content	Does not contain sensitive content
ANZSRC Field of Research 2020	490508. Statistical data science
Public Notes	Files associated with this item cannot be displayed due to copyright restrictions.
Byline Affiliations	United Arab Emirates University, United Arab Emirates
	Warsaw University of Technology, Poland

Permalink -

https://research.usq.edu.au/item/z3qz0/response-based-multiple-imputation-method-for-minimizing-the-impact-of-covariate-detection-limit-in-logistic-regression

3
total views
0
total downloads
3
views this month
0
downloads this month

Export as

Related outputs

Gastroesophageal reflux disease following laparoscopic vertical sleeve gastrectomy and laparoscopic roux-en-Y gastric bypass: meta-analysis and systematic review of 5-year data

Memon, Muhammed A, Osland, Emma, Yunus, Rossita M, Alam, Khorshed, Hoque, Zahirul and Khan, Shahjahan. 2024. "Gastroesophageal reflux disease following laparoscopic vertical sleeve gastrectomy and laparoscopic roux-en-Y gastric bypass: meta-analysis and systematic review of 5-year data." Diseases of the Esophagus. 37 (3), pp. 593-617. https://doi.org/10.1093/dote/doad063

Modelling the Association between Vitamin D Deficiency and Incidence of Covid-19 Infection Adjusting for the Confounders and Unobserved Heterogeneity

Hoque, Zahirul, Hossain, Shahadut, Hasan, Masud, Hoque, Irfanul and Haque, Afrozul. 2023. "Modelling the Association between Vitamin D Deficiency and Incidence of Covid-19 Infection Adjusting for the Confounders and Unobserved Heterogeneity." Journal of Applied Probability and Statistics. 18 (1), pp. 19-33.

Differences in levels of E. coli contamination of point of use drinking water in Bangladesh

Hasan, Md. Masud, Hoque, Zahirul, Kabir, Enamul and Hossain, Shahadut. 2022. "Differences in levels of E. coli contamination of point of use drinking water in Bangladesh." PLoS One. 17 (5), pp. 1-12. https://doi.org/10.1371/journal.pone.0267386

Preliminary Test Methodology in View of Asymmetry with Elliptically Contoured Distribution

Arashi, M. and Hoque, Z.. 2020. "Preliminary Test Methodology in View of Asymmetry with Elliptically Contoured Distribution." Journal of Applied Probability and Statistics. 15 (1), pp. 101-112.

Shrinkage Estimator of Regression Model Under Asymmetric Loss

Hoque, Zahirul, Wesolowski, Jacek and Hossain, Shahadut. 2018. "Shrinkage Estimator of Regression Model Under Asymmetric Loss." Communications in Statistics: Theory and Methods. 47 (22), pp. 5547-5557. https://doi.org/10.1080/03610926.2017.1397169

Performance of preliminary test estimator under linex loss function

Hoque, Zahirul, Khan, Shahjahan and Wesolowski, Jacek. 2009. "Performance of preliminary test estimator under linex loss function." Communications in Statistics: Theory and Methods. 38 (2), pp. 252-261. https://doi.org/10.1080/03610920802192471

James-Stein estimators for the mean vector of a multivariate normal population based on independent samples from two normal populations with common covariance structure

Khan, Shahjahan and Hoque, Zahirul. 2002. "James-Stein estimators for the mean vector of a multivariate normal population based on independent samples from two normal populations with common covariance structure." Pakistan Journal of Statistics. 18 (3), pp. 359-381.

Estimation of the slope parameter for linear regression model with uncertain prior information

Khan, Shahjahan, Hoque, Zahirul and Saleh, A. K. Md. Ehsanes. 2002. "Estimation of the slope parameter for linear regression model with uncertain prior information." Journal of Statistical Research. 36, pp. 55- 73.

A better alternative to non-parametric approaches for adjusting for covariate measurement errors in logistic regression.

Hossain, Shahadut, Hoque, Zahirul and Hasan, A. H. M. Saidul. 2016. "A better alternative to non-parametric approaches for adjusting for covariate measurement errors in logistic regression." Communications in Statistics: Simulation and Computation. 45 (8), pp. 2659-2677. https://doi.org/10.1080/03610918.2014.917675

Education and Health for Human Security in MMCs: Achievements and the Third Sector Interventions

Hossain, Shahadut and Hoque, Zahirul. 2015. "Education and Health for Human Security in MMCs: Achievements and the Third Sector Interventions ." Hasan, Samiul (ed.) Human Security and Philanthropy: Islamic Perspectives and Muslim Majority Country Practices. United States. Springer. pp. 263-288

Improved Estimation in regression with Varying Penalty

Hoque, Zahirul and Hossain, Shahadut. 2012. "Improved Estimation in regression with Varying Penalty." Journal of Statistical Theory and Practice. 6, pp. 260-273. https://doi.org/10.1080/15598608.2012.673878

Observed data based estimator and both observed data and prior information based estimator under asymmetric losses

Hoque, Zahirul, Wesolowski, Jacek and Khan, Shahjahan. 2007. "Observed data based estimator and both observed data and prior information based estimator under asymmetric losses." American Journal of Mathematical and Management Sciences. 27 (1-2), pp. 93-110. https://doi.org/10.1080/01966324.2007.10737690

Edgeworth size corrected W, LR and LM test in the formation of the preliminary test estimator

Khan, Shahjahan, Hoque, Zahirul and Billah, Baki. 2006. "Edgeworth size corrected W, LR and LM test in the formation of the preliminary test estimator." Journal of Statistical Research. 40 (2), pp. 55-64.

On the Size Corrected Tests in Improved Estimation

Hoque, Z., Billah, B. and Khan, S.. 2005. "On the Size Corrected Tests in Improved Estimation." Calcutta Statistical Association Bulletin. 57 (3-4), pp. 143-160. https://doi.org/10.1177/0008068320050301

Estimation of the intercept parameter for linear regression model with uncertain non-sample prior information

Khan, Shahjahan, Hoque, Zahirul and Saleh, A. K. Md. E.. 2005. "Estimation of the intercept parameter for linear regression model with uncertain non-sample prior information." Statistical Papers. 46 (3), pp. 379-395. https://doi.org/10.1007/bf02762840