Results 1 to 1 of 1

Math Help - Hypothesis test

  1. #1
    Member
    Joined
    Oct 2008
    Posts
    206

    Hypothesis test

    Hi all,

    How do I conduct a hypothesis test as follow

    H_0: \mu_{trt,time(j+1)}-\mu_{trt,time(j)} \ge \mu_{trt,time(j)}-\mu_{trt,time(j-1)}

    as opposed to

    H_0: \mu_{trt,time(j+1)}-\mu_{trt,time(j)} < \mu_{trt,time(j)}-\mu_{trt,time(j-1)}

    To simplify this: Let look into 1 particular treatment with j=2:

    H_0: \mu_{time(3)}-\mu_{time(2)} \ge \mu_{time(2)}-\mu_{time(1)}

    Let say I have \bar Y_1, \bar Y_2, \bar Y_3 and \sigma_{11},\sigma_{22}, \sigma_{33}, \sigma_{12}, \sigma_{23}, \sigma_{13}

    I was thinking maybe I can shift the equation into left hand side to form:

    \bar Y_3-2\bar Y_2+\bar Y_1 as the estimate, but what about the S.E?

    My guess is: 1/n\sqrt{(\sigma_{11}+2*\sigma_{22}+\sigma_{33}+??)} These variables are correlated.
    Last edited by noob mathematician; April 7th 2011 at 01:36 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Hypothesis Test: < OR >
    Posted in the Statistics Forum
    Replies: 2
    Last Post: November 30th 2009, 05:08 PM
  2. Test hypothesis
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: May 4th 2009, 05:48 AM
  3. hypothesis test ,test statistic wrong!
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: March 28th 2009, 03:59 AM
  4. t test hypothesis
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: February 18th 2009, 05:52 AM
  5. Hypothesis test
    Posted in the Statistics Forum
    Replies: 1
    Last Post: November 1st 2008, 06:22 AM

Search Tags


/mathhelpforum @mathhelpforum