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An IDL routine to combine measurements

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posted on 13.01.2014, 06:59 by Jonathan Gagné, David Lafrenière, René Doyon, Lison Malo, Étienne Artigau

This IDL routine uses an optimal variance-weighted mean to combine measurements of the same physical quantity with individual errors. It corrects for over-dispersion to account for possible underestimations of individual measurements, as well as an intrinsically varying physical quantity. The routine does not correct for under-dispersion to avoid strange behaviours in cases where individual measurements are very close one to another. This IDL routines uses the method described here (http://en.wikipedia.org/wiki/Weighted_arithmetic_mean#Correcting_for_over-_or_under-dispersion), and was used to combine radial velocity, proper motion and distance measurements in Gagné et al. (2014).

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