Fitting Linear Models > Stepwise Regression Models
Publication date: 07/15/2025

Stepwise Regression Models

Fit a Model Using Variable Selection

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The Stepwise personality of the Fit Model platform enables you to use stepwise methods to fit regression models, explore all possible models for a set of regressors, and conduct model averaging.

Stepwise regression is an approach to selecting a subset of effects for a regression model. It can be useful in the following situations:

There is little theory to guide the selection of terms for a model.

You want to interactively explore which predictors seem to provide a good fit.

You want to improve a model’s prediction performance by reducing the variance that is caused by estimating unnecessary terms.

For model selection, you can perform the following tasks:

choose from among various rules to determine how associated terms enter the model

enforce effect heredity

Image shown hereuse cross validation criteria with respect to a holdout set

fit and rank all possible models for a set of regressors

conduct model averaging

Figure 5.1 Stepwise Report Window 

Stepwise Report Window

Contents

Overview of Stepwise Regression

Example Using Stepwise Regression

Launch the Stepwise Regression Personality

Validation Options in Stepwise Regression

Stepwise Fit Report

Stepwise Regression Control Panel
Current Estimates Report
Step History Report

Stepwise Fit Report Options

All Possible Models
Model Averaging

Additional Examples of the Stepwise Personality

Example of the Combine Rule
Example of a Model with a Nominal Term
Example of the Restrict Rule for Hierarchical Terms
Example of Logistic Stepwise Regression
Example of the All Possible Models Option
Example of the Model Averaging Option
Example of Forward Selection
Example of Backward Selection

Statistical Details for the Stepwise Personality

Models with Crossed, Interaction, or Polynomial Terms
Models with Nominal and Ordinal Effects
Construction of Hierarchical Terms
Logistic Stepwise Regression for Binary or Ordinal Responses
Validation Details
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