Re: Who "invented" the null hypthesis?


Matt Dz. wrote:
"Luis A. Afonso" wrote:
DZ. (not Bob) wrote

Matt Dz. wrote:

*** The term "acceptance interval" is of course correct in case of parameter space being a REAL LINE. However, the "acceptance region" is more general.
Regards,
Matt Dz. ***


My response:

WRONG
Do you ignore that the term *interval* could be n-dimensional?

Do you ignore the fact, that the only correct term for n-dimensional
case is "... region"?

That was actually my response late at night, except Google
said I had made too many posts already. :-)


For example - in case of the p-dimensional multivariate normal
distribution, when we want to find the counterpart to CI (which would be
the univariate case) for the mean vector, the confidence region will
be a p-?dimensional ellipsoid. This is one of the kinds of elliptic
confidence regions.

This is the redeeming value of picking out Afonso's errors because
it prompted my forthcoming post about "elliptic" <?> and
"rectangular" questions about bivariate (and multivariate)
normal random variables!

Regards,
Matt Dz.

-- Bob.

.

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