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Spectrum error analysis

509 bytes added, 12:31, 19 June 2013
With all spectra replicated and again using any integration methodology, the intensity errors can be calculated as described in the `Peak heights with all spectra replicated' section above.
== See also IUPAC - pooled standard deviation ==
[http://goldbook.iupac.org/P04758.html IUPAC :pooled standard deviation]
A problem often arises when the combination of several series of measurements performed under similar conditions
is desired to achieve an improved estimate of the imprecision of the process. If it can be assumed that all the
series are of the same precision although their means may differ, the pooled standard deviations $s_p$
from $k$ series of measurements can be calculated as
$$
s_p=sqrt{\frac{(n_1-1)s_1^2+(n_2-1)s_2^2+...+(n_k-1)s_k^2}{n_1+n_2+...+n_k-k}}
$$
 
== See also ==
[[Category:Analysis]]