Generating Sample Means From Uniform Distribution

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Generating Sample Means From Uniform Distribution

Hello. I need to take a sample of 10 random numbers from the Uniform(0,1) distribution then calculate the sample mean. I then need to do this 100 times so that I get 100 sample means all from samples of size 10.  Then I need 100 sample means from sample size 100. Then continues on for a total 7 different sample sizes. The resulting data set should have two columns: 

 

1.  The sample size of the sample that the sample mean was calculated from 

2. The sample mean

 

It should have 700 entries. 100 for each sample size. I started with nested for loops but I am stuck on how to calculate the sample mean once I obtain the sample. See code below

 

 

data uniform (drop = x);
 do n = 10, 100, 200, 500, 1000, 5000, 10000 ;
      do i = 1 to 100 ;
          do a = 1 to n ;
             x = rand('Uniform');
          end ;
          y = mean(x);                 /* not right.*/
          output ;
      end;
end;
run ;

 

I know that this does not work because y = mean(x) will just take the mean of one value- the value of x on the nth loop. I can't figure out how to get the mean of just the sample taken in the third do loop. 

 

 

Thanks. 

 


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‎03-20-2018 10:07 AM
Respected Advisor
Posts: 2,981

Re: Generating Sample Means From Uniform Distribution

Posted in reply to UCFtigers2017

You can do this in a data step, you add up all the 10 random numbers and divide by 10.

 

I would output the individual x values, and then compute the means in PROC SUMMARY

 

proc summary nway data=have;
     class n i;
     var x;
     output out=means mean=x_mean;
run;
--
Paige Miller

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Solution
‎03-20-2018 10:07 AM
Respected Advisor
Posts: 2,981

Re: Generating Sample Means From Uniform Distribution

Posted in reply to UCFtigers2017

You can do this in a data step, you add up all the 10 random numbers and divide by 10.

 

I would output the individual x values, and then compute the means in PROC SUMMARY

 

proc summary nway data=have;
     class n i;
     var x;
     output out=means mean=x_mean;
run;
--
Paige Miller
Occasional Contributor
Posts: 9

Re: Generating Sample Means From Uniform Distribution

Posted in reply to PaigeMiller

Thanks, I summed and divided in the data step. 

 

 

data uniform1 (drop = x);
   do n = 10, 100, 200, 500, 1000, 5000, 10000 ; 
     do i = 1 to 100 ; 
       sumx = 0 ; 
          do a = 1 to n ; 
             x = rand('Uniform');
             sumx + x ;
             meanx = sumx / n ;
           end ;
        y = meanx ;
        output ;
    end;
  end;
run ;

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