Results 1 to 2 of 2

Math Help - Power of a test

  1. #1
    Newbie
    Joined
    Dec 2007
    Posts
    6

    Question Power of a test

    Hi, could someone please explain to me whether the power of a statistical test is the probability that the alternative hypothesis is true?

    I know that the power of the test is the probability of a false null hypothesis being rejected but what about the probability that a false null hypothesis is accepted (beta)...? If the alternative hypothesis is true isn;t there a possibilitiy of a type II error...?

    thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by star_Asia View Post
    Hi, could someone please explain to me whether the power of a statistical test is the probability that the alternative hypothesis is true?

    I know that the power of the test is the probability of a false null hypothesis being rejected but what about the probability that a false null hypothesis is accepted (beta)...? If the alternative hypothesis is true isn;t there a possibilitiy of a type II error...?

    thanks
    All sorts of things can happen if you don't have a exhaustive list of possibilities.
    But the power of the test is as it is defined.

    Also classical statistical tests never tell you the probability that a hypothesis
    is true, they are always about the likelyhood of the data under the hypothesis,
    and accepting/rejecting hypotheses on the basis of such likelyhoods.

    RonL

    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Please help to determine the power of a hypothesis test
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: April 30th 2010, 11:08 PM
  2. Hypothesis test's power
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: March 4th 2010, 05:05 AM
  3. Power of a Test
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: January 26th 2010, 06:51 PM
  4. Power of Test
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: August 10th 2009, 01:54 PM
  5. power of test random sample
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: September 14th 2008, 09:51 PM

Search Tags


/mathhelpforum @mathhelpforum