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SAS: Repeated Estimation of Regressions by Group

SAS: Repeated Estimation of Regressions by Group

Posted June 12, 2024 at 1:59 pm

Sang-Heon Lee
SHLee AI Financial Model

This post presents a SAS code for estimating regression models by group. The number of group is not small that multiple estimation using a do-loop is convenient. In this process, each regression model name is set to each group name.

SAS Repeated Estimation of Regression by Group

For an example of repeated regressions, sashelp.baseball dataset is used and is copied to work.base1. work.base2 is created by adding the number and name of groups based on Team column. This preliminary work is done by the following SAS code.

SAS Data

In the above SAS code, the baseball dataset is grouped by Team and the number and name of group are created. The group name is used for the model name but the regression model name does not permit spaces so that we substitute underbars for spaces. Of course the number or name of group can have another available form.

SAS Sample Data

Regression with a group name as the model name

Given work.base2 dataset, the following SAS code performs an estimation of linear regression model. To use a group name as a regression model name, the group name is retrieved with the input group number before estimation of regression model is done. The regression output is saved to work.regout dataset with additional statistics such as R-squared.

SAS Data Sample 2

We can find that the estimation result of Atlanta Team group has the model name as “Atlanta”. All estimation results with varying the group number from ’01’ manually are as follows.

SAS Output 2

Repeated regressions

It is tedious and time-consuming to run every regressions manually. For an easy estimation, repeated estimation of regressions are preferred. For this purpose, the following SAS macro code is implemented for retrieving array of group names and multiple estimations are carried out using a do-loop.

Finally, some modifications of results are made and all estimation results are summarized into one dataset (work.regout_all)

SAS Data 3

The final output is of parameter estimates and relevant statistics such as the standard error, t-statistics, and p-values with R-squared and adjusted R-squared by each group (Team).

SAS Data Set Sample 3

Originally posted on SH Fintech Modeling blog.

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