62Jxx Linear inference and regression
This subtopic introduces the core ideas in linear inference and regression, including foundational concepts, standard methods, and the main questions used to organize the area. Typical uses include building mathematical background, framing related research problems, and supporting applications in neighboring fields where these concepts provide useful structure.
Specific topics
62J05 Linear regression; mixed models
Overview
Linear regression; mixed models. This topic addresses linear inference and regression, including estimation, diagnostics, model selection, and linear-model geometry.
Related Wikipedia Page
Wikipedia: Regression analysis
Useful Links
Key Ideas
- linear model specification and estimation
- hypothesis testing and confidence procedures
- diagnostics and model adequacy
Typical Uses
Used to infer associations and effects under linear modeling assumptions.
Applications
- Experimental and observational studies
- Forecasting and trend analysis
- Econometric and biomedical modeling
References
Recommended Textbooks
62J07 Ridge regression; shrinkage estimators (Lasso)
Overview
Ridge regression; shrinkage estimators (Lasso). This topic addresses linear inference and regression, including estimation, diagnostics, model selection, and linear-model geometry.
Related Wikipedia Page
Wikipedia: Regression analysis
Useful Links
Key Ideas
- linear model specification and estimation
- hypothesis testing and confidence procedures
- diagnostics and model adequacy
Typical Uses
Used to infer associations and effects under linear modeling assumptions.
Applications
- Experimental and observational studies
- Forecasting and trend analysis
- Econometric and biomedical modeling
References
Recommended Textbooks
62J10 Analysis of variance and covariance
Overview
Analysis of variance and covariance. This topic addresses linear inference and regression, including estimation, diagnostics, model selection, and linear-model geometry.
Related Wikipedia Page
Wikipedia: Regression analysis
Useful Links
Key Ideas
- linear model specification and estimation
- hypothesis testing and confidence procedures
- diagnostics and model adequacy
Typical Uses
Used to infer associations and effects under linear modeling assumptions.
Applications
- Experimental and observational studies
- Forecasting and trend analysis
- Econometric and biomedical modeling
References
Recommended Textbooks
62J12 Generalized linear models (logistic models)
Overview
Generalized linear models (logistic models). This topic addresses linear inference and regression, including estimation, diagnostics, model selection, and linear-model geometry.
Related Wikipedia Page
Wikipedia: Regression analysis
Useful Links
Key Ideas
- linear model specification and estimation
- hypothesis testing and confidence procedures
- diagnostics and model adequacy
Typical Uses
Used to infer associations and effects under linear modeling assumptions.
Applications
- Experimental and observational studies
- Forecasting and trend analysis
- Econometric and biomedical modeling
References
Recommended Textbooks
62J15 Paired and multiple comparisons
Overview
Paired and multiple comparisons. This topic addresses linear inference and regression, including estimation, diagnostics, model selection, and linear-model geometry.
Related Wikipedia Page
Wikipedia: Regression analysis
Useful Links
Key Ideas
- linear model specification and estimation
- hypothesis testing and confidence procedures
- diagnostics and model adequacy
Typical Uses
Used to infer associations and effects under linear modeling assumptions.
Applications
- Experimental and observational studies
- Forecasting and trend analysis
- Econometric and biomedical modeling
References
Recommended Textbooks
62J20 Diagnostics, and influence diagnostics
Overview
Diagnostics, and influence diagnostics. This topic addresses linear inference and regression, including estimation, diagnostics, model selection, and linear-model geometry.
Related Wikipedia Page
Wikipedia: Regression analysis
Useful Links
Key Ideas
- linear model specification and estimation
- hypothesis testing and confidence procedures
- diagnostics and model adequacy
Typical Uses
Used to infer associations and effects under linear modeling assumptions.
Applications
- Experimental and observational studies
- Forecasting and trend analysis
- Econometric and biomedical modeling
References
Recommended Textbooks