Weighted Errors formulars SEM=∑i=0Nbwi2−1N(∑i=0Nbwi)2\textrm{SEM} = \sqrt { \sum\limits_{i=0}^{N_b} w_i^2 - \frac{1}{N} \left( \sum\limits_{i=0}^{N_b} w_i \right)^2 }SEM=i=0∑Nbwi2−N1(i=0∑Nbwi)2SD=∑i=0Nwi(xi−xˉw)2(Nb−1)∑i=0NwiNb\textrm{SD} = \sqrt{\frac{\sum\limits_{i=0}^N w_i \left(x_i - \bar{x}_w \right)^2}{\frac{\left( N_b - 1 \right) \sum\limits_{i=0}^{N} w_i }{N_b} }}SD=Nb(Nb−1)i=0∑Nwii=0∑Nwi(xi−xˉw)2N−Number of all dataN - \textrm{Number of all data}N−Number of all dataNb−Number of non 0 weights in binN_b - \textrm{Number of non 0 weights in bin}Nb−Number of non 0 weights in binPublishedMon 19 December 2016CategorysnippetsTagsdeviation 1 mean 1 SD 1 SEM 1 standard error 1 Weighted 1