Results 1 to 2 of 2

Math Help - Quick! How do I find this test statistic?

  1. #1
    Newbie
    Joined
    Jul 2009
    Posts
    1

    Quick! How do I find this test statistic?

    Consider the following summarized results of 18 pairs of data: SXX = 10, SYY = 160, SXY = -32. What is the value of test statistic for testing the following hypotheses? H0: ρ = 0 vs. H1: ρ ≠ 0

    How can I find the test statistic from this info? I've broken it down into:
    10=(Sum)X^2 - (Sum X)^2 / 18...etc. But I have no idea to find these initial values so I can work through the problem. Or am I totally off base?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by helpwithstats09 View Post
    Consider the following summarized results of 18 pairs of data: SXX = 10, SYY = 160, SXY = -32. What is the value of test statistic for testing the following hypotheses? H0: ρ = 0 vs. H1: ρ ≠ 0

    How can I find the test statistic from this info? I've broken it down into:
    10=(Sum)X^2 - (Sum X)^2 / 18...etc. But I have no idea to find these initial values so I can work through the problem. Or am I totally off base?
    The test statistic is t = \frac{r}{\sqrt{1 - r^2}} \cdot \sqrt{n - 2} which follows Student's t-distribution with (n - 2) degrees of freedom.

    So your task is to first calculate the sample correlation coefficient r.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Calculating test statistic
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: December 20th 2012, 05:37 AM
  2. test statistic?
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: June 22nd 2009, 04:30 PM
  3. finding the test statistic, p-value..
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: June 17th 2009, 08:44 PM
  4. hypothesis test ,test statistic wrong!
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: March 28th 2009, 03:59 AM
  5. calculating a test statistic
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: July 20th 2008, 08:01 PM

Search Tags


/mathhelpforum @mathhelpforum