Hello Erin,
You might want to compute *credibility* intervals instead. They have the
true meaning of intervals within which the *unknown parameter* (not the
sample statistic) has a fixed probability to lie (confidence intervals
do not).
The AtelieR package, especially in its "Bayesian inference on several
means" section, lets you input the data summary (means, standard
deviation and counts) and automatically provides these intervals on the
unknown means.
The approach implemented is the one described in:
Neath, A. & Cavanauigh, J. (2006). A bayesian approach to the multiple
comparisons problem. Journal of Data Science, 4, 131-146.
Besides, it will give you the best constrained model (in terms of equal
means) for your data, and the probability that this model is the true
one. It is an elegant solution to the multiple comparisons problem.
HTH,
Yvonnick Noel
University of Brittany, Rennes
France
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