At 03:30 PM 10/28/2002, Donald Burrill wrote:
Hi, Dennis.I'm not sure this answers precisely the question you asked, but FWIW: I learned to distinguish between the "rejection region" and the "acceptance region" associated with a null hypothesis;
when i start to discuss power ... i develop the null and 'assumed to be true' distributions ... and, on the null, given the critical values ... label an area in the middle as "retention" and at the ends "rejection"
these set up the boundaries for making a decision ... what i called taking an action but, let's say: making a decision
but, we can build a CI too ... and make a decision too ... that way so, could we not say that the CI is the retention area and outside of the CI represents the rejection area ... ?
if the only purpose of identifying retention and rejection areas (regions) is to MAKE these decisions ... it seems like having inside the CI retention and outside the CI be rejection ... makes equivalent sense
when i look at different books ... IF they do anything with retention and rejection areas ... it is always in the context of making that retain or reject decision and, the method given is to provide the STUDENT/LEARNER with a rubric FOR making a decision (a routine to follow)...
so, while i normally will start with the null ... make these retention and rejection areas on it ... i am not so sure it has to be that way ...
.
.
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