Re: A * Titans * Fight III : Jack Tomky versus R A. Fisher

Wormtomsky said

[0] *** An acceptance region is not an interval, unless the sample size is one. The sample space is of dimension n, the sample size, and includes the space of all possible sample outcomes. The acceptance region is a subset of the sample space which includes all outcomes for which one would accept the null hypothesis. ***


From the WEB

__1__Definition: The acceptance region occurs in the context of hypothesis testing. Let T be a test statistic. Possible values of T can be divided into two regions, the acceptance region and the rejection region. If the value of T comes out to be in the acceptance region, the null hypothesis being tested is not rejected. If T falls in the rejection region, the null hypothesis is rejected.

__2__acceptance region
–noun Statistics. the set of values of a test statistic for which the null hypothesis is accepted.

__3__the set of values in a test statistic for which the null hypothesis can be accepted

ENOUGH
Jack Tomsky is WRONG by three (!!!) reasons: THREE ERRORS IN A ROW,

__a__The region is defined based on the test statistics, because he omitted this reference one stays his *definition* doesn’t lead ANYWHERE:
__b__Size n=1 is ABSURD and impracticable to test WHATEVER: the test statistics variance is impossible to be estimated.
__c__The null hypotheses is not accepted (see__1__) but simply ONE FAIL TO REJECT IT.

Luis Amaral Afonso [The moderator destroyer]
.

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