https://communities.sas.com/t5/SAS-Procedures/generating-data-in-statistic/m-p/76644#M22223 One way; not elegant, but effective.<BR /> <BR /> DATA new;<BR /> a=3; * your constant, for example;<BR /> DO i=1 to 10; *10 is max of index.<BR /> y=a*RANNOR() + RANNOR();<BR /> OUTPUT;<BR /> END;<BR /> DROP i a;<BR /> RUN;<BR /> <BR /> will generate a data set with one value of y for each value of the index. If you want to keep x_i and b_i, you need to do the assignment outside of the assignment statement for y.<BR /> <BR /> Note that the two executions of RANNOR generate different sequences of normal deviates. See documentation for details.<BR /> <BR /> Doc Muhlbaier<BR /> Duke Mon, 09 Mar 2009 13:04:15 GMT Doc_Duke 2009-03-09T13:04:15Z https://communities.sas.com/t5/SAS-Procedures/generating-data-in-statistic/m-p/76643#M22222 how to generate data of the form y = ax_i + b_i<BR /> i is an index<BR /> x_i b_i and are independently distributed as N (0, 1)<BR /> a&gt; = 0 is a constant parameter Sun, 08 Mar 2009 20:59:01 GMT https://communities.sas.com/t5/SAS-Procedures/generating-data-in-statistic/m-p/76643#M22222 deleted_user 2009-03-08T20:59:01Z https://communities.sas.com/t5/SAS-Procedures/generating-data-in-statistic/m-p/76644#M22223 One way; not elegant, but effective.<BR /> <BR /> DATA new;<BR /> a=3; * your constant, for example;<BR /> DO i=1 to 10; *10 is max of index.<BR /> y=a*RANNOR() + RANNOR();<BR /> OUTPUT;<BR /> END;<BR /> DROP i a;<BR /> RUN;<BR /> <BR /> will generate a data set with one value of y for each value of the index. If you want to keep x_i and b_i, you need to do the assignment outside of the assignment statement for y.<BR /> <BR /> Note that the two executions of RANNOR generate different sequences of normal deviates. See documentation for details.<BR /> <BR /> Doc Muhlbaier<BR /> Duke Mon, 09 Mar 2009 13:04:15 GMT https://communities.sas.com/t5/SAS-Procedures/generating-data-in-statistic/m-p/76644#M22223 Doc_Duke 2009-03-09T13:04:15Z