Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.stat.math.independent

Topic: Current misleading claims to be discussed . . .
Replies: 6   Last Post: Jun 5, 2014 6:16 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Luis A. Afonso

Posts: 4,617
From: LIsbon (Portugal)
Registered: 2/16/05
Re: Current misleading claims to be discussed . . .
Posted: Jun 4, 2014 8:11 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.