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 ID791
Article CategoryArticle
AuthorsHossain, Shahadut, Hoque, Zahirul and Wesolowski, Jacek
Journal TitleCommunications in Statistics: Theory and Methods
Journal Citation50 (2), pp. 371-386
Number of Pages16
Year2021
PublisherTaylor & Francis
Place of PublicationUnited States
ISSN0361-0926
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.

KeywordsDetection limit; left-truncation; logistic regression; multiple lmputation
Contains Sensitive ContentDoes not contain sensitive content
ANZSRC Field of Research 2020490508. Statistical data science
Public Notes

Files associated with this item cannot be displayed due to copyright restrictions.

Byline AffiliationsUnited 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

  • 30
    total views
  • 0
    total downloads
  • 2
    views this month
  • 0
    downloads this month

Export as

Related outputs

The effect of laparoscopic vertical sleeve gastrectomy and laparoscopic roux-en-Y gastric bypass on gastroesophageal reflux disease: An updated meta-analysis and systematic review of 5-year post-operative data from randomized controlled trials.
Memon, Muhammed Ashraf, Osland, Emma, Yunus, Rossita Mohamad, Hoque, Zahirul, Alam, Khorshed and Khan, Shahjahan. 2024. "The effect of laparoscopic vertical sleeve gastrectomy and laparoscopic roux-en-Y gastric bypass on gastroesophageal reflux disease: An updated meta-analysis and systematic review of 5-year post-operative data from randomized controlled trials." Surgical Endoscopy: surgical and interventional techniques. https://doi.org/10.1007/s00464-024-11303-x
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
Improved estimation for linear models under different loss functions
Hoque, Zahirul. 2004. Improved estimation for linear models under different loss functions. PhD Thesis Doctor of Philosophy. University of Southern Queensland.
Improved Estimation in Linear Dynamic Regression Model
Hoque, Zahirul and Gerlach, Richard. 2005. "Improved Estimation in Linear Dynamic Regression Model." Journal of Applied Statistical Science. 17 (2), pp. 309-314.
Preliminary test estimators for the multivariate normal mean based on the modified W, LR and LM tests
Khan, S. and Hoque, Z.. 2003. "Preliminary test estimators for the multivariate normal mean based on the modified W, LR and LM tests." Journal of Statistical Research. 37 (1), pp. 43-55.