On 7 Aug 2003 05:18:17 -0700, [EMAIL PROTECTED] (Ren�) wrote:

> Performing scientific investigations of poison exposure in the lab, we
> have an experimental design with a  set of reference and a treated
> samples (say A-samples and B-samples). We ad some chemical and measure
> a response at several time intervals after the exposure � and at each
> point in time A and B measurements are made in triplicate (response
> could be concentration of a metabolite, number of living cells,  a
> color or the like). We then make an XY (time/response) plot and fit a
> curve (could be an exponential decay for example). As we measure in
> triplicate at each time there is variation on each measurement point
> on both A and B values. Though, in spite of fluctuations and
> decreasing response for both the A and the B curve it seems that the A
> response curve is higher than the B curve "most of the time"� How do
> we make a statistical test of this? It should takes into account the
> decay (response levels are not constant over time) and preferably the
> variation in the triplets observations?

Does A consist of 3  critters  which are tested several times,
and B  likewise? - Then you have a t-test of 3 versus 3,
on whatever-parameter-it-is  that models the height of the
curve.   (There would be other ways, but that one is my
first choice.)

Or is this the model where 3 rats (say) have to be 'sacrificed'
at each time point in order to get those replicated values?
 - Then you might have the 2-way ANOVA, time by group,
where you test the group-effect against the TxG  interaction,
and test the interaction against the within (that is, residual).

> 
> In a reply to a similar question (posted by Don Taylor to newsgroup
> sci.stat.math 1997/05/26 ) it was suggested that in AUTOBOX the
> problem could be treated as a 'POOLED CROSS-SECTIONAL TIME SERIES' �
> however, it was not clear how to treat this problem in general (we do
> not have AUTOBOX). Does anyone have a hint or reference how to solve
> this problem?


-- 
Rich Ulrich, [EMAIL PROTECTED]
http://www.pitt.edu/~wpilib/index.html
"Taxes are the price we pay for civilization."  Justice Holmes.
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