Binary Probit/Logit Regression Task

About the Binary Probit/Logit Regression Task
Example: Binary Probit/Logit Regression Task
Assigning Data to Roles
Setting Options

About the Binary Probit/Logit Regression Task

The Binary Probit/Logit Regression task performs a regression analysis of a binary dependent variable from normal or logistic distributed panel data.
Note: Your site must license SAS/ETS to use this task. The version of the task depends on what version of SAS/ETS is available at your site. For example, if your site is running the second maintenance release for SAS 9.3, SAS/ETS 12.1 is available, and SAS Studio is running version 1 of the Binary Probit/Logit Regression task. If your site is running SAS 9.4, SAS/ETS 12.3 or later is available, and SAS Studio is running version 2 of the Binary Probit/Logit Regression task. The difference between the two versions is the addition of new options in SAS/ETS 12.3 or later.

Example: Binary Probit/Logit Regression Task

To create this example:
  1. Create the Work.Mroz data set. For more information, see MROZ Data Set.
  2. In the Tasks section, expand the Econometrics folder and double-click Binary Probit/Logit Regression. The user interface for the Binary Probit/Logit Regression task opens.
  3. On the Data tab, select the WORK.MROZ data set.
  4. Assign columns to these roles:
    Role
    Column Name
    Dependent variable
    inlf
    Continuous variables
    nwifeinc
    exper
    expersq
    age
    kidslt6
    kidsge6
    Categorical variables
    educ
  5. To run the task, click Submit SAS Code.
Here is a subset of the results:
Example of the Results from Probit/Logit Task

Assigning Data to Roles

To run the Binary Probit/Logit Regression task, you must assign a column to the Dependent variable role.
Role
Description
Dependent variable
specifies the numeric column to use as the dependent variable for the regression analysis.
Use the Distribution drop-down list to specify whether to create a normal or logistic model.
Continuous variables
specifies the numeric columns to use as the independent regressor (explanatory) variables for the regression model.
Categorical variables
specifies how to group values into levels.

Setting Options

Option
Description
Methods
Type of covariances of the parameter estimates
specifies the type of covariance matrix of the parameter estimates.
You can specify these types of matrices:
  • the covariance from the inverse Hessian matrix
  • the covariance from the outer product matrix
  • the covariance from the outer product and Hessian matrices (also called the quasi-maximum-likelihood-estimates)
Include the intercept in the model
specifies whether to include the intercept in the model.
Heteroscedasticity
Analyze heteroscedasticity
displays the heteroscedasticity options.
Variables on the variance function
specifies the columns that are related to heteroscedasticity of the residuals and how these variables are used to model error variances. Here is the heteroscedastic regression model that is supported by this task: y sub i , equals , x with subscript i , and with superscript prime , end sub-superscript , beta plus , epsilon sub i end sub , epsilon sub i , tilde n open 0 comma , sigma sub i and super 2 , close. Click image for alternative formats.
Form of variance function
specifies the link function to use. You can choose from these options:
  • Exponential sigma sub i and super 2 , equals , sigma squared , open 1 plus exp of open , z with subscript i , and with superscript prime , end sub-superscript , gamma close close. Click image for alternative formats.
  • Exponential with no constant sigma sub i and super 2 , equals , sigma squared , exp of open , z with subscript i , and with superscript prime , end sub-superscript , gamma close. Click image for alternative formats.
  • Linear sigma sub i and super 2 , equals , sigma squared , open 1 plus , z with subscript i , and with superscript prime , end sub-superscript , gamma close. Click image for alternative formats.
  • Square of linear function sigma sub i and super 2 , equals , sigma squared , open 1 plus . open , z with subscript i , and with superscript prime , end sub-superscript , gamma close squared . close. Click image for alternative formats.
Optimization
Method
specifies the iterative minimization method to use. By default, the Quasi-Newton method is used.
Maximum number of iterations
specifies the maximum number of iterations for the selected method.
Statistics
You can specify whether to include any statistics in the results.
Here is the information that you can choose to include in the results:
Plots
Select plots to display
specifies whether to display the default plots created by the task, only the plots that you select, or no plots.
Diagnostic Plots
Error standard deviations by observed regressor
displays the error standard deviation versus observed regressors when you assign a column to the Variables on the variance function option.
Profiled log likelihood
displays the profiled log likelihood. Each profiled graph is obtained by setting all the parameters to their maximum likelihood estimate except for the profiling parameter. The profiling parameter takes values on a predefined grid that is determined by the maximum likelihood estimate of the corresponding standard deviation.
Output Plots
Predicted values by regressor
displays the model predicted values. Each contributing regressor is set equal to its mean, except for the parameter that is reported on the X axis.
Marginal effects by regressor
displays the marginal effects. Each contributing regressor is set equal to its mean, except for the parameter that is reported on the X axis.
Inverse Mills ratio by regressor
displays the inverse Mills ratio. Each contributing regressor is set equal to its mean, except for the parameter that is reported on the X axis.
Predicted response probability by regressor
displays the predicted response probability. Each contributing regressor is set equal to its mean, except for the parameter that is reported on the X axis.
Predicted probabilities for each level of the response by regressor
displays the predicted probabilities for each level of the response. Each contributing regressor is set equal to its mean, except for the parameter that is reported on the X axis.
Linear predictor values by regressor
displays the structural part on the right side of the model. Each contributing regressor is set equal to its mean, except for the parameter that is reported on the X axis.
Display as
specifies whether to display the plots in a panel or individually.
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