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    hardisza's Avatar
    hardisza Posts: 1, Reputation: 1
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    #1

    Aug 16, 2009, 06:28 PM
    Finding the F Statistic.
    A study compares three population means. Three independent samples with 15 observations are each taken. The SSE = 1246 and the SST = 1600. What is the value of the F statistic?

    I have no idea how to do this problem. I do know the answer is 5.97 I just have no idea how to get that as an answer... Help me please! Thank you.
    jcaron2's Avatar
    jcaron2 Posts: 986, Reputation: 204
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    #2

    Aug 21, 2009, 07:35 AM

    First, we know that the total sum of squares, SST, is the sum of the regression sum of squares (SSR) and the error sum of squares (SSE). So

    SST = SSE + SSR

    and

    SSR = SST - SSE = 1600 -1246 = 354

    We can calculate the number of degrees of freedom in SSR and SST as

    df(SSR) = g - 1 = 3 - 1 = 2
    df(SSE) = N - g = 45 - 3 = 42

    where g is the number of coefficients in the regression equation and N is the total number of samples.

    Now the formula for calculating F is



    See this page for more details:
    Correlation between factors
    upsi's Avatar
    upsi Posts: 1, Reputation: 1
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    #3

    Aug 15, 2011, 01:45 PM
    Where did that 45 come from ?
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