<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The choice of regression models can vary depending on a study’s objectives and the characteristics of the dataset. Yet it is crucial to recognize that the properties of conditional expectation impose a natural consistency requirement on the formulation of these models. This paper endeavors to demonstrate that, even under the most favorable assumptions concerning the covariates’ structure, inconsistent specifications can arise in generalized linear models, particularly when nonlinear link functions are employed.</p>
</abstract>

The choice of regression models can vary depending on a study’s objectives and the characteristics of the dataset. Yet it is crucial to recognize that the properties of conditional expectation impose a natural consistency requirement on the formulation of these models. This paper endeavors to demonstrate that, even under the most favorable assumptions concerning the covariates’ structure, inconsistent specifications can arise in generalized linear models, particularly when nonlinear link functions are employed.

Incompatibility of Model Specifications in Generalized Linear Models

Departments of Biostatistics and Computational Biology

Department of Anesthesiology and Perioperative Medicine

Biometrical Letters

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Incompatibility of Model Specifications in Generalized Linear Models"}

The choice of regression models can vary depending on a study’s objectives and the characteristics of the dataset. Yet it is crucial to recognize that the...

Incompatibility of Model Specifications in Generalized Linear Models

Published Online: Jul 29, 2024

Page range: 33 - 50

DOI: https://doi.org/10.2478/bile-2024-0003

Keywords
conditional expectation, linear regression, logistic regression

© 2024 Changyong Feng et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Incompatibility of Model Specifications in Generalized Linear Models

Published Online: Jul 29, 2024

Page range: 33 - 50

DOI: https://doi.org/10.2478/bile-2024-0003

Keywordsconditional expectation, linear regression, logistic regression

© 2024 Changyong Feng et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
conditional expectation, linear regression, logistic regression