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Learn more about Statistics Toolbox
• Getting Started
Key Features
• User's Guide
• Organizing Data
• Descriptive Statistics
• Statistical Visualization
• Probability Distributions
• Random Number Generation
• Hypothesis Tests
• Analysis of Variance
• Parametric Regression Analysis
• Introduction to Parametric Regression Analysis
What Is Parametric Regression?
Choose a Regression Function
Update Legacy Code to Use New Fitting Methods
• Linear Regression
What Is a Linear Regression Model?
Prepare Data
Choose a Fitting Method
Choose a Model or Range of Models
Fit Model to Data
Examine Quality and Adjust the Fitted Model
Predict or Simulate Responses to New Data
Share Fitted Models
Linear Regression Workflow
• Stepwise Regression
Stepwise Regression to Select Appropriate Models
Compare large and small stepwise models
• Robust Regression - Reduce Outlier Effects
What Is Robust Regression?
Compare Robust Regression to a Standard Least-Squares Fit
• Ridge Regression
Introduction to Ridge Regression
Example: Ridge Regression
• Lasso and Elastic Net
What Are Lasso and Elastic Net?
Example: Lasso Regularization
Example: Lasso and Elastic Net Regularization with Cross Validation
Example: Wide Data via Lasso and Parallel Computing
Lasso and Elastic Net Details
References
• Partial Least Squares
Introduction to Partial Least Squares
Example: Partial Least Squares
Multivariate Regression
• Generalized Linear Regression
What Is Generalized Linear Regression?
Choose a Generalized Linear Model Type and Link Function
Choose a Fitting Method and Model or Range of Models
Generalized Linear Regression Workflow
• Lasso Regularization of Generalized Linear Models
What Is Lasso Regularization of Generalized Linear Models?
Regularize Poisson Regression
Regularize Logistic Regression
Regularize Wide Data in Parallel
Details of Lasso and Elastic Net for Generalized Linear Models
• Nonlinear Regression
What Are Parametric Nonlinear Regression Models?
Represent the Nonlinear Model
Choose Initial Vector beta0
Fit Nonlinear Model to Data
Nonlinear Regression Workflow
• Mixed-Effects Models
Introduction to Mixed-Effects Models
Mixed-Effects Model Hierarchy
Specifying Mixed-Effects Models
Specifying Covariate Models
Choosing nlmefit or nlmefitsa
Using Output Functions with Mixed-Effects Models
Example: Mixed-Effects Models Using nlmefit and nlmefitsa
Example: Examining Residuals for Model Verification
• Multivariate Methods
• Cluster Analysis
• Parametric Classification
• Nonparametric Supervised Learning
• Markov Models
• Design of Experiments
• Statistical Process Control
• Parallel Statistics
Sample Data Sets
• Distribution Reference
Bibliography
• Functions
Examples
• Release Notes
Symbols A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Introduction to Parametric Regression Analysis
Linear Regression
Stepwise Regression
Robust Regression — Reduce Outlier Effects
Ridge Regression
Lasso and Elastic Net
Partial Least Squares
Generalized Linear Regression
Lasso Regularization of Generalized Linear Models
Nonlinear Regression
Mixed-Effects Models