[EMAIL PROTECTED] (F. Goldhammer) wrote in message 
news:<[EMAIL PROTECTED]>...
> Yes, I am expecting interesting changes of the concentration
> performance in the 18 minutes, which describe a negative linear trend.
> And there are differences between persons (slope).
> Please could you tell me a &#8216;test for trends between persons&#8216; to get a
> measure of reliability.
> Thanks
> Frank Goldhammer


Frank:  it looks like you don't care too much for my idea about
cronbach's alpha, so, let's try something else.  do you have access to
BJ Winer's text "Statistical Principles in Experimental Design, 2nd
edition?  sections 4.5 and 4.6 might be helpful.  the equation on page
290, noted as r_sub_4 is called Hoyt's reliability and is an
application of analysis of variance to reliability estimation. it
would seem to make sense to partition the sums of squares for your 18
observations into components for trend, since the order of the
observations is important.  this would not, it seems to me, be the
case with an ordinary set of test items where the order is usually not
critical.

it sounds as if you are expecting performance to deteriorate over
time.  so from an internal consistency standpoint, your measures might
still be "reliable."  it would be similar to a set of test items where
the more difficult items are toward the end of the examination.  as
you may know, many standardized instruments are actually constructed
this way - placing the easier items at the beginning and the most
difficult at the end.

JJ Diamond
.
.
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