Statistical Analysis of a Generalized Linear Model for Bilateral Correlated Data Under Donner’s Model
Paired data often arise in medical studies, with a correlation between responses of paired organs or parts. Under an intra-correlated model, this paper proposes a generalized linear model to investigate probable confounding factors of the individual response rates in paired data. The main link funct...
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MDPI AG
2025-06-01
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| Seria: | Axioms |
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| _version_ | 1839616538692288512 |
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| author | Jinlong Cheng Zhiming Li Keyi Mou |
| author_facet | Jinlong Cheng Zhiming Li Keyi Mou |
| author_sort | Jinlong Cheng |
| collection | DOAJ |
| description | Paired data often arise in medical studies, with a correlation between responses of paired organs or parts. Under an intra-correlated model, this paper proposes a generalized linear model to investigate probable confounding factors of the individual response rates in paired data. The main link functions include logistic, log–log, complementary log–log, probit, and double exponential. The estimators of model parameters are calculated through the Newton–Raphson, quadratic lower bound, and Fisher bounded algorithms. Then, three tests (i.e., likelihood ratio test, Wald-type test, and score test) are constructed to analyze whether covariates significantly affect the response rate. Finally, the proposed methods are illustrated by numerical simulation and visual impairment data from Iran. |
| format | Article |
| id | doaj-art-e152bba388ec40b7ac0312eba145bf58 |
| institution | Matheson Library |
| issn | 2075-1680 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-e152bba388ec40b7ac0312eba145bf582025-07-25T13:13:48ZengMDPI AGAxioms2075-16802025-06-0114750010.3390/axioms14070500Statistical Analysis of a Generalized Linear Model for Bilateral Correlated Data Under Donner’s ModelJinlong Cheng0Zhiming Li1Keyi Mou2College of Mathematics and System Science, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and System Science, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and System Science, Xinjiang University, Urumqi 830046, ChinaPaired data often arise in medical studies, with a correlation between responses of paired organs or parts. Under an intra-correlated model, this paper proposes a generalized linear model to investigate probable confounding factors of the individual response rates in paired data. The main link functions include logistic, log–log, complementary log–log, probit, and double exponential. The estimators of model parameters are calculated through the Newton–Raphson, quadratic lower bound, and Fisher bounded algorithms. Then, three tests (i.e., likelihood ratio test, Wald-type test, and score test) are constructed to analyze whether covariates significantly affect the response rate. Finally, the proposed methods are illustrated by numerical simulation and visual impairment data from Iran.https://www.mdpi.com/2075-1680/14/7/500paired datageneralized linear modelparameter estimationhypothesis test |
| spellingShingle | Jinlong Cheng Zhiming Li Keyi Mou Statistical Analysis of a Generalized Linear Model for Bilateral Correlated Data Under Donner’s Model Axioms paired data generalized linear model parameter estimation hypothesis test |
| title | Statistical Analysis of a Generalized Linear Model for Bilateral Correlated Data Under Donner’s Model |
| title_full | Statistical Analysis of a Generalized Linear Model for Bilateral Correlated Data Under Donner’s Model |
| title_fullStr | Statistical Analysis of a Generalized Linear Model for Bilateral Correlated Data Under Donner’s Model |
| title_full_unstemmed | Statistical Analysis of a Generalized Linear Model for Bilateral Correlated Data Under Donner’s Model |
| title_short | Statistical Analysis of a Generalized Linear Model for Bilateral Correlated Data Under Donner’s Model |
| title_sort | statistical analysis of a generalized linear model for bilateral correlated data under donner s model |
| topic | paired data generalized linear model parameter estimation hypothesis test |
| url | https://www.mdpi.com/2075-1680/14/7/500 |
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