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I have to compare, choosing a significance level, two quantity normally distributed with respective measure uncertainty (quantified with error propagation law). How could I make the comparison between the two groups without lose info about measurement? and for three or more groups ?

thank !

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  • $\begingroup$ Do you want to compare the means of the two (or 3 or more) groups? Can you describe your concern about loss of information? $\endgroup$ – Joel W. Sep 1 '14 at 13:56
  • $\begingroup$ yeah, I want compare the two mean values of the two groups, taking into account that these means had the respective uncertainty? $\endgroup$ – Terenz Sep 1 '14 at 15:05
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When the variable is normally distributed, a t-test is often used to compare the means for two treatment groups. A one-way analysis of variance is often used to compare the means for three or more treatment groups. Is there more to your question that I am missing?

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