I've been presented with a problem where I don't have the raw data, but I do
have summary data.

Specifically, I have a response that takes values from 0 thru 10, and a
factor that has 5 levels (unordered) ...
I have a mean and std dev for each of the 5 levels and need to obtain a
p-value indicating whether there is evidence of a difference between these
means.

                 Mean    Std Dev   N
Level A       mA        stdA       nA
Level B       mB        stdB       nB
Level C       mC        stdC       nC
Level D       mD        stdD       nD
Level E       mE        stdE       nE

My current plan is to assume normally distributed responses and use the
known mean and std dev to generate data points which can be combined to
create a data set similar to the "true" (but unavailable) data set.  Then I
can use a standard 1-way ANOVA to determine the p-value.

Does anyone know of any pre-packaged solution to this type of problem in R?

Or perhaps suggest a better solution than that which I have outlined above?

Thanks ... Mohamed




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