Hi all,
I have the following problem which I don't find an actually
satisfying statistical method for:
The item discrimination index for questionnaire items (i.e.
the corrected item-total-correlation) is supposed to increase
with the number of similar items answered (when controlling
the item content). In several papers these "item context effects"
are tested by correlating (fisher-z-transformed) item discrimination
with item position in the quesionnaire (e.g. Knowles, 1988*).
What leaves me somehow unsatisfied about this technique is that
the "sample size" used for this analysis equals the number of
questionnaire items, not the number of respondents.
What I'm looking for is a method to test the _trend_ in
correlations of a series of variables x(1), x(2), ... x(k) with
another variable y. I know how to test the null hypothesis that
all k correlations are equal, but this is not exactly the question
I'm trying to answer. Is there any way to test the trend in series
of correlations based on the raw data, i.e. that uses the power
of the original sample size? Or is the correlation between k and
r(x(k),y) an adequate procedure, even if this means a "sample"
size of e.g. 36 items that were originally answered by 1200
respondents?
Thanks a lot for any hint,
Johannes Hartig


*Knowles, E. S., (1988). Item context effects on personality
scales: Measuring changes the measure. Journal of personality
and social psychology, 55, 312-320.






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