The Adjustment of Covariates in Cox’s Model under Case-Cohort Design
Case-cohort design is a biased sampling method. Due to its cost-effective and theoretical significance, this design has extensive application value in many large cohort studies. The case-cohort data includes a subcohort sampled randomly from the entire cohort and all the failed subjects outside the...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/8884665 |
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| author | Guocai Rong Luwei Tang Wenting Luo Qing Li Lifeng Deng |
| author_facet | Guocai Rong Luwei Tang Wenting Luo Qing Li Lifeng Deng |
| author_sort | Guocai Rong |
| collection | DOAJ |
| description | Case-cohort design is a biased sampling method. Due to its cost-effective and theoretical significance, this design has extensive application value in many large cohort studies. The case-cohort data includes a subcohort sampled randomly from the entire cohort and all the failed subjects outside the subcohort. In this paper, the adjustment for the distorted covariates is considered to case-cohort data in Cox’s model. According to the existing adjustable methods of distorted covariates for linear and nonlinear models, we propose estimating the distorting functions by nonparametrically regressing the distorted covariates on the distorting factors; then, the estimators for the parameters are obtained using the estimated covariates. The proof of consistency and being asymptotically normal is completed. For calculating the maximum likelihood estimates of the regression coefficients subject in Cox’s model, a minorization-maximization (MM) algorithm is developed. Simulation studies are performed to compare the estimations with the covariates undistorted, distorted, and adjusted to illustrate the proposed methods. |
| format | Article |
| id | doaj-art-f64411263c9d4adba113fc468b62496d |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-f64411263c9d4adba113fc468b62496d2025-02-03T06:07:42ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/88846658884665The Adjustment of Covariates in Cox’s Model under Case-Cohort DesignGuocai Rong0Luwei Tang1Wenting Luo2Qing Li3Lifeng Deng4College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, Shandong, ChinaSchool of Mathematics and Statistics, Nanning Normal University, Nanning 530001, Guangxi, ChinaSchool of Mathematics and Statistics, Nanning Normal University, Nanning 530001, Guangxi, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, Shandong, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, Shandong, ChinaCase-cohort design is a biased sampling method. Due to its cost-effective and theoretical significance, this design has extensive application value in many large cohort studies. The case-cohort data includes a subcohort sampled randomly from the entire cohort and all the failed subjects outside the subcohort. In this paper, the adjustment for the distorted covariates is considered to case-cohort data in Cox’s model. According to the existing adjustable methods of distorted covariates for linear and nonlinear models, we propose estimating the distorting functions by nonparametrically regressing the distorted covariates on the distorting factors; then, the estimators for the parameters are obtained using the estimated covariates. The proof of consistency and being asymptotically normal is completed. For calculating the maximum likelihood estimates of the regression coefficients subject in Cox’s model, a minorization-maximization (MM) algorithm is developed. Simulation studies are performed to compare the estimations with the covariates undistorted, distorted, and adjusted to illustrate the proposed methods.http://dx.doi.org/10.1155/2020/8884665 |
| spellingShingle | Guocai Rong Luwei Tang Wenting Luo Qing Li Lifeng Deng The Adjustment of Covariates in Cox’s Model under Case-Cohort Design Complexity |
| title | The Adjustment of Covariates in Cox’s Model under Case-Cohort Design |
| title_full | The Adjustment of Covariates in Cox’s Model under Case-Cohort Design |
| title_fullStr | The Adjustment of Covariates in Cox’s Model under Case-Cohort Design |
| title_full_unstemmed | The Adjustment of Covariates in Cox’s Model under Case-Cohort Design |
| title_short | The Adjustment of Covariates in Cox’s Model under Case-Cohort Design |
| title_sort | adjustment of covariates in cox s model under case cohort design |
| url | http://dx.doi.org/10.1155/2020/8884665 |
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