The Math Forum

Search All of the Math Forum:

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

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

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: kolmogov-smirnov, wilcoxon and kruskal tests
Replies: 14   Last Post: Dec 31, 2012 6:38 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: 4,758
From: LIsbon (Portugal)
Registered: 2/16/05
Re: kolmogov-smirnov, wilcoxon and kruskal tests
Posted: Dec 23, 2012 2:01 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Ray Kooper is right: a test where its statistics does not fall in the rejection interval only means that, given data, one was failed to assert a sufficient difference (of the two samples, at the case) between the two data sets in analysis. It was pointed out that each of the three tests analyses data under a specific (proper) point of view, so, one should not expect that all tests lead to conclude the same way: reject/not reject. The choice of a test in what all sample values are called, on the empirical distribution function, as KS, is preferable than those analysing some particular Population parameter?s set (such the Jarque- Bera, Skewness and Kurtosis).
Not inconsistent, Ray Kooper used wisely, is the term we prefer to say when one is lead to not reject the Null Hypotheses. We should always keep in mind that Significance Tests (by its own nature) are necessary, not sufficient tools subject to decision errors: to reject when H0 is true (Type I) and to accept when false (Type II).

Luis A. Afonso

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

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.