On Sun, 27 Jan 2013, Sven Schreiber wrote:
Am 27.01.2013 12:43, schrieb Pindar:
> Hi,
>
> there is a strange behavior when combining the 'sd' function with matrices:
> 1) I thought it flags an error - is it now allowed for matrices?
> 2) the result is not correct, but the 'var' function works with this
> simple matrix in the example
>
> <hansl>
> matrix test = {-0.08142857;0.05560000}
> eval mcov(test)
> eval var(test)
> eval sqrt(mcov(test))
> eval sqrt((test[1]-mean(test))^2 + (test[2]-mean(test))^2)
> eval sd(test)
> <hansl>
>
>
Without having verified numerically, I suspect this is an issue of 1/n
versus 1/(n-1). If so, then "correct" is not unique in this case; as you
know, the first is ML, the second is unbiased. In this extreme case of
n=2 this will lead to very different results (factor of 1/sqrt(2) I guess).
It is. If you eval sd(test)*sqrt(2), you get what you were looking for.
-------------------------------------------------------
Riccardo (Jack) Lucchetti
Dipartimento di Scienze Economiche e Sociali (DiSES)
Università Politecnica delle Marche
(formerly known as Università di Ancona)
r.lucchetti(a)univpm.it
http://www2.econ.univpm.it/servizi/hpp/lucchetti
-------------------------------------------------------