Standardizing observations

[Yegen]

I want to standardize the variable titled "Value" such that it has a maximum value of X (e.g., -2) and a minimum value of Y (e.g., 10). To do so, I want that all observations are adjusted in the same way. 

Please see below the code I have written so far and it is based on a post by @Rick_SAS (please see link below): 

DATA work.sample;
	INPUT Institution $ Value;
	DATALINES; 
	ABC 0.8 
	BCD 0.9 
	CDF 1.2 
	DEF -0.1
;
RUN;

*Normalize the data above to a max of 1 and min of 0 such that all other observations (non-max and non-min values) will also change;

proc stdize data=work.sample out=work.sample2 method=RANGE;
   var Value;
run;

/*To change to a different range (e.g., [-1,1])*/
data work.sample3;
	set work.sample2;
	Value = 2*Value - 1;
run;

Question 1: 
By adjusting the range, all of the non-boundary values will also be adjusted, right? For instance, if we have 3 observations (e.g., -10, 5, 10), then the median will also change such that it incorporates the adjustment of the upper and lower boundary (which changes to 0 and 1, respectively).

Question 2:
If I want to have an upper bound of 10 and a lower bound of 2 what change do I have to make in the last part of the code?

Link: https://communities.sas.com/t5/SAS-Procedures/scaling-variable-in-a-dataset/td-p/13294

 

[Rick_SAS · Accepted solution]

Q1: Correct.

Q2: You can use the MULT= and ADD= options to scale and translate directly in PROC STDIZE. So insted of STDIZE followed by a DATA step, you can get sample3 by using

proc stdize data=work.sample out=work.sample4 method=RANGE mult=2 add=-1;
   var Value;
run;

In particular, if you want an upper bound of 10 and a lower bound of 2, then the scale of the data is (10-2)=8 and the offset is 2, so you can use 

proc stdize data=work.sample out=work.sample5 method=RANGE mult=8 add=2;
   var Value;
run;

[Yegen]

Perfect, thank you for this helpful reply. Lastly, I am wondering if there is any way to use "proc stdize" such that one can directly specify the upper and lower bound without having to add / subtract or multiply / divide values. For instance, if one wants to have a lower bound of 1.61 and an upper bound of 3.14, would it be possibly to directly specify these bounds? 

[Rick_SAS]

%let lower = 1.61;
%let upper = 3.14;
%let range = %sysevalf(&upper - &lower);
proc stdize data=sample out=sample6 method=RANGE mult=&range add=&lower;
   var Value;
run;

[Yegen]

This is exactly what I needed! Thank you very much, @Rick_SAS!