-- Tony Plate
At Tuesday 05:42 PM 8/19/2003 +0000, Padmanabhan, Sudharsha wrote:
Hello,
I am running a few simulations for clinical trial anlysis. I want some help regarding the following.
We know trhat as the sample size increases, the variance should decrease, but I am getting some unexpected results. SO I ran a code (shown below) to check the validity of this.
large<-array(1,c(1000,1000)) small<-array(1,c(100,1000)) for(i in 1:1000){large[i,]<-rnorm(1000,0,3)} for(i in 1:1000){small[i,]<-rnorm(100,0,3)}} yy<-array(1,100) for(i in 1:100){yy[i]<-var(small[i,])} y1y<-array(1,1000) for(i in 1:1000){y1y[i]<-var(large[i,])} mean(yy);mean(y1y); [1] 8.944 [1] 9.098
This shows that on an average,for 1000 such samples of 1000 Normal numbers, the variance is higher than that of a 100 samples of 1000 random numbers.
Why is this so?
Can someone please help me out????
Thanks.
Regards
~S.
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