On 30/09/2014 2:26 PM, Andre wrote:
Hi Duncan,

Actually, I am trying trace the formula for the "Critical value of Z" and manual formula is =(I7-1)/SQRT(I7)*SQRT((TINV(0.05/I7,I7-2))^2/(I7-2+TINV(0.05/I7,I7-2)))

So, I got new problem for TINV formula. I just need a manual equation for TINV.

Sorry, can't help. I'm not sure I understand what you want, but if it's a simple formula for quantiles of the t distribution, it doesn't exist.

Duncan Murdoch


Hope solve this problem.

Cheers!


On Wed, Oct 1, 2014 at 1:20 AM, Duncan Murdoch <murdoch.dun...@gmail.com <mailto:murdoch.dun...@gmail.com>> wrote:

    On 30/09/2014 2:11 PM, Andre wrote:

        Hi Duncan,

        No, that's correct. Actually, I have data set below;


    Then it seems Excel is worse than I would have expected.  I
    confirmed R's value in two other pieces of software,
    OpenOffice and some software I wrote a long time ago based on an
    algorithm published in 1977 in Applied Statistics. (They are
    probably all using the same algorithm.  I wonder what Excel is doing?)

        N= 1223
        alpha= 0.05

        Then
        probability= 0.05/1223=0.0000408831
        degree of freedom= 1223-2= 1221

        So, TINV(0.0000408831,1221) returns 4.0891672


        Could you show me more detail a manual equation. I really
        appreciate it if you may give more detail.


    I already gave you the expression:  abs(qt(0.0000408831/2,
    df=1221)). For more detail, I suppose you could look at the help
    page for the qt function, using help("qt").

    Duncan Murdoch


        Cheers!


        On Wed, Oct 1, 2014 at 1:01 AM, Duncan Murdoch
        <murdoch.dun...@gmail.com <mailto:murdoch.dun...@gmail.com>
        <mailto:murdoch.dun...@gmail.com
        <mailto:murdoch.dun...@gmail.com>>> wrote:

            On 30/09/2014 1:31 PM, Andre wrote:

                Dear Sir/Madam,

                I am trying to use calculation for two-tailed inverse
        of the
                student`s
                t-distribution function presented by Excel functions like
                =TINV(probability, deg_freedom).

                For instance: The Excel function
        =TINV(0.0000408831,1221) =         returns
                  4.0891672.

                Would you like to show me a manual calculation for this?

                Appreciate your helps in advance.


            That number looks pretty far off the true value. Have you
        got a
            typo in your example?

            You can compute the answer to your question as
            abs(qt(0.0000408831/2, df=1221)), but you'll get 4.117.

            Duncan Murdoch






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