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  • $\begingroup$ Thanks AdamO. I have the standard errors already so I could calculate confidence intervals directly from these... Thanks for the tip... $\endgroup$ Commented Apr 8, 2013 at 18:21
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    $\begingroup$ I missed that. I'll correct my answer to get rid of tedious algebra. $\endgroup$ Commented Apr 8, 2013 at 18:22
  • $\begingroup$ I believe encouraging such a test based on visual inspection is a bad idea. As well, I don't think the stated overlap criteria are very good. Granted you did say 'naive.' The mean and variance are known; how about a z-test? $\endgroup$ Commented Apr 8, 2013 at 18:42
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    $\begingroup$ That is not a test based on visual inspection. Tests based on the overlap of 95% confidence intervals are equivalent to the Wald test which is consistent and unbiased. It conveniently can also be depicted graphically with a forest plot of 95% confidence intervals. Otherwise, there are no multiple testing issues introduced by this test (a usual consequence of exploratory analyses using excessive plots). $\endgroup$ Commented Apr 8, 2013 at 20:22
  • $\begingroup$ Hello, thank you all for your comments. I have finally managed to get hold of the raw data, so this should simplify things! $\endgroup$ Commented Apr 9, 2013 at 16:12