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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