>  - Does "internal consistency" as the measure of reliability 
> make much sense for a time series?   How tightly linked are
> the measures?   If there is a high lagged correlation, then 
> any 'internal consistency'  is foolish to think about.  Before
> you worry about that ratio, in fact, I think the nature of the
> time-series needs to be worked out.
> 
> Is there an external criterion for this quotient, or is it
> intended to predict itself-in-the-future, and nothing more?
> 
> Maybe a real-life example would impress me otherwise, 
> but what comes to mind here, in the abstract, is that 
>  a)  test-retest  reliability  would be more convincing; and 
>  b)  even more than the usual cross-sectional report, 
> your conclusions will be heavily tied to the character 
> of the 'sample';  however well the quotient works, that
> depends on various variances remaining similar.

Thank you for your answers and comments on my problem. I'd like to go
into detail.
The 18 Items are measurements of concentration performance:
item1=concentration performance in the 1st testminute ... item18=
concentration performance in the 18th testminute.
The quotient [Mean(item7, ... item 18)/Mean(item1, ... item6)] is a
simple measure of the enduring concentration performance of a person.
I'd like to know a way to calculate the reliability (�true variance")
of this measure. I measured N=102 subjects just for once, so I can�t
calculate a retest-reliability.
The lagged autocorrelation of the 18 occassions (18 testminutes):
lag0    1
lag1    0,95
lag2    0,89
lag3    0,76
lag4    0,58
lag5    0,31
Hope this helps you to give me further answers. Many thanks in advance
Frank Goldhammer
.
.
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