[R] Comparing two groups of proportions
Rolf Turner
r.turner at auckland.ac.nz
Tue Jun 10 22:05:57 CEST 2008
On 10/06/2008, at 6:08 PM, Ivan Adzhubey wrote:
> Hi Rolf,
>
> On Monday 09 June 2008 11:16:57 pm Rolf Turner wrote:
>> Your approach tacitly assumes --- as did the poster's question ---
>> that
>> the probability of passing an item by one method is *independent* of
>> whether it is passed by the other method. Which makes the methods
>> effectively independent of the nature of the item being assessed!
>
> So it seems I can't just block my primary factor (QA procedure) by
> nuisance
> one (production line) and run Cochran test to see if effects of
> primary
> factor are identical for both its levels.
As far as I can see there is no way of doing anything sensible unless
you know or obtain the item by item results. There's not much you
can do (sensibly) with the summaries provided in your original posting.
>
>> Not much actual quality being assured there!
>
> In fact, I am not interested in quality of QA procedures as much as
> in how
> different the results are (error component).
It still seems to me that the relevant questions, no matter how you
slice the situation, have to be expressed in terms of conditional
probabilities rather than the marginals. I.e. what's the probability
the procedure 2 passes an item given that procedure 1 has passed it?
What's the probability given that procedure 1 has failed it?
cheers,
Rolf Turner
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