To standardize a variable means to scale each of the values for the variable such that the mean value is 0 and the standard deviation is 1.
You can use the following formula to standardize a variable
(xi – x) / s
where:
- xi: The ith value in the dataset
- x: The sample mean
- s: The sample standard deviation
The easiest way to standardize a variable in SAS is to use the PROC STDIZE statement.
The following example shows how to use this statement in practice.
Example: How to Use PROC STDIZE in SAS
Suppose we have the following dataset in SAS that contains information about various basketball players:
/*create first dataset*/
data my_data;
input player $ points assists rebounds;
datalines;
A 18 3 15
B 20 3 14
C 19 4 14
D 14 5 10
E 14 4 8
F 15 7 14
G 20 8 13
H 28 7 9
I 30 6 5
J 0 31 9 4
;
run;
/*view dataset*/
proc print data=my_data;
We can use the PROC STDIZE statement to create a new dataset that standardizes each of the numeric variables in the dataset:
/*standardize all numeric variables in dataset*/
proc stdize data=my_data out=std_data;
run;
/*view new dataset*/
proc print data=std_data;
Each of the numeric variables (points, assists, rebounds) have been standardized to have a mean of 0 and standard deviation of 1.
Note that we can also use the VAR statement to specify which variables to standardize.
For example, we can use the following PROC STDIZE statement with the VAR statement to only standardize the points variable:
/*standardize points variable in dataset*/
proc stdize data=my_data out=std_data;
var points;
run;
/*view new dataset*/
proc print data=std_data;
The values in the points column have been standardized while all other columns have remained untouched.
We can use the PROC MEANS statement to verify that the points variable now has a mean value of 0 and a standard deviation of 1:
/*view mean and standard deviation of each variable*/ proc means data=std_data;
We can see that the points variable indeed has a mean value of 0 and a standard deviation of 1.
Additional Resources
The following tutorials explain how to perform other common tasks in SAS:
How to Remove Rows with Missing Values in SAS
How to Calculate Standard Deviation in SAS (3 Examples)
How to Calculate Z-Scores in SAS