Alan,
Agresti (Categorical Data Analysis, Wiley, 1990 - possible also later)
mentions similar techniques (e.g. in Ch. 3.3.5) although not exactly the same
ones
what you are using (stressing the independence of the components within the
partitioning). He cites also original publications which might be
useful for you, although they are from the 40's 50'.
Regards
Robert
> For some years I have been teaching a technique which I know as testing
> the components of chi square in a standard contingency table problem.
> If you calculate the standardised residual
>
> SR = (fo - fe)/sqrt(fe)
>
> for each cell, these residuals are approximately normally distributed
> with mean zero and standard error given by
>
> SE = sqrt((1 - rowsum/overallsum)*(1-columnsum/overallsum))
>
> provided the expected frequencies are large enough (as for the use of
> chi square itself).
here you have rxk cells but only (r-1)x(k-1) df, therefore, the question
of independence naturally rises
>
> My problem is that I have no source for this technique. I have never
> seen it in a textbook. (I have no doubt about its validity, and frankly
> don't understand why textbooks do not refer to it.)
>
> Can anyone give me a reference to it? Ideally, a reference to its
> original publication.
>
> Alan McLean ([EMAIL PROTECTED])
> Department of Econometrics and Business Statistics
> Monash University, Caulfield Campus, Melbourne
> Tel: +61 03 9903 2102 Fax: +61 03 9903 2007
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