Hi,


I'm facing the following issue:



Assuming a set of measurements:



(m(i); sd(i)) with u(i) = measured value and u(i) = standard uncertainty



If one could propose the overall mean value mtot as being the weighted mean
value:



mtot = sum(w.*m/sum(w)) with w(i)=1/u(i)^2,



what the hell could be the overall variance vartot:



1) the weigthed variance of the mean values m(i)

2) the weighted mean value of the variances u(i)^2



This problem looks like an ANOVA but it's not. Could anyone help me ?



Thanks



Chris


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