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: Permutations, different aims
Replies: 0  

Advanced Search

Back to Topic List Back to Topic List  
Luis A. Afonso

Posts: 4,743
From: LIsbon (Portugal)
Registered: 2/16/05
Permutations, different aims
Posted: Mar 10, 2013 11:52 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Permutations, different aims

They are in use yet indexes
specifying what item from a sample is chosen. So needles to rename the ones indicative the time j an item is randomly drawn among the sample set. We use the fact that with W(j)= j/(0.5 * n * (1+n)) and X´ an item randomly and exhaustively chosen,
___mmX=(1<=j<=n)SUM X´(random)*W(j)
has as Mathematical Expectation the sample mean value: E(mmX)=m.
Deriving from the way the permutations are performed there are important differences between the classical Fisher´s Permutation Test (FP) and the Intra-Permutation one (IP) in what concerns the Two Sample Difference on Means. Recall that FP respects all items whatever the sample and the result is a Confidence Interval (CI) providing the bounds when they are merely insignificant/confounding, whereas IP which the permutation among items are restricted to the respective sample one can get the bounds of the wanted difference and conclude that it was no significant, 0 is inside the interval, or on contrary significant: 0 is outside. By other words: if is a NHST or a No-Null Hypotheses Statistical Test.
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 1994-2015. All Rights Reserved.