Thank you (all 6 of you) for your answers.
Through trying 2 of them, I've realised that I have asked the wrong
question, or at least, what I assumed, in asking the question, was
wrong.


Each group for which I have all the data consists of a normal
distribution. I was assuming that, if I were to combine the data from
all the groups together, then I could get another normal distribution.
I required the psychometric function of this combined data, which I
intended to calculate from the combined mean and SD, assuming normal
distribution.

However, even if all the individual groups exhibit a normal
distribution (and I don't have data to prove this!), the combination
certainly doesn't have to - and may not even be close if I choose to
combine two groups with very different means (I believe this is one
issue hinted at in the final post).


I have chosen to calculate the psychometric functions on a group by
group basis. Thus, I have the %age of people in each group who would
respond to a sound of a given intensity. Then, it is trivial to add
the percentages across groups (at each intensity) weighting by the
number of subjects in each group, or some other factor. I hope this
isn't a terrible thing to do?

I want to combine the data from different groups because:
a) I have data from experiments that should be the same, but aren't!
b) I have data from different age ranges, which should be different
(and are!), but I wish to calculate %age values for the whole
population (with a given demographic, which I can create using correct
weightings of each age-band data-set).

I sincerely apologise for asking the wrong question. If my chosen
method is totally indefensible, I hope you will correct me.

Thank you for your help.


Cheers,
David.
.
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