Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
Drexel University or The Math Forum.


Luis A. Afonso
Posts:
4,715
From:
LIsbon (Portugal)
Registered:
2/16/05


Re: Current misleading claims to be discussed . . .
Posted:
Jun 4, 2014 8:11 PM


Sometimes I find really smart guys: If the null hypothesis is not rejected, then we must be careful to say what this means. The thinking on this is similar to a legal verdict. Just because a person has been declared "not guilty", it does not mean that he is innocent. In the same way, just because a null hypothesis is not rejected does not mean that the statement is true. David M. Lane: http://onlinestatbook.com/2/logic_of_hypothesis_testing/nonsignificant.htm
E. Dallal Null hypothesis are never accepted. We either reject them or fail to reject them. The distinction between ?acceptance? and ?failure to reject? is best understood in terms of confidence intervals. Failing to reject a hypothesis means a confidence interval contains a value of ?no difference?. However, the data may also be consistent with differences of practical importance. Hence, failing to reject H0 does not mean that we have shown that there is no difference (accept H0). ____________ Otherwise we can improve the Dallal´s idea saying that the difference (if so) is sufficiently short as it was impossible to be detected at the significance level had chosen. Because is impossible (absolutely. . .) by the true nature of Significance Tests to state that a Hypothesis is true or untrue (Fisher) no sufficiently learned Statistician dare to go further. Do you know what my battle cry is? I do not care at all though the Null is true or untrue! (A blasphemy? I do not think so). _____________________ Luis A. Afonso



