Dear all, I hope someone can help me.(adsbygoogle = window.adsbygoogle || []).push({});

I have two experimental groups,A(n=5) andB(n=8) containing biological samples. The samples are used to estimate my parameter of interest,θ. I do this with Markov-chain Monte-Carlo, which gives me a posterior distribution ofθfor each of my samples. The distributions look approximately normal but are skewed a bit to the right. All values forθare positive.

I wonder how I can now report single estimates (and confidence intervals) forθin groups A and B, respectively.

Averaging the means of each distribution in one group gives me very different results than averaging the medians of all distributions. I also tried combining all distributions from one group and then taking the mean or the median. How can I find out which is the best way to summarize all distributions within one group to get a single point estimate?

I hope my problem is clear, I would appreciate any help.

Many thanks in advance,

capy_bara

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Point estimate from multiple sampling distributions

**Physics Forums | Science Articles, Homework Help, Discussion**