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In the usual setting, some data points are given and one wants to find a polynomial function with the minimum violations measured by a norm in the given data points.
Since the number of horizontal pixels of computer screens is always limited, visual representations of a number of data points exceeding the number of available pixels always involve a loss of presented information, i.e., some data points are not visible.
Generally, mixed-effect models allow inclusion of all data points in the analysis and can be used when some data points are missing.
Permutation tests are far less sensitive to the presence of outliers and are particularly necessary with unequal sample sizes; i.e., when some data points are missing as is usually the case with microarray experiments.
The interval estimates for the mean of the five runs are slightly wider than those obtained from a single run, illustrating the correction made to account for the fact that some data points are imputed.
We calculate the relative CN for sample i and locus j as: (14) where is the reference signal, which commonly is the robust average across samples and possibly corrected for the case that some data points are from non-copy-neutral loci, cf. Bengtsson et al. (2008b).
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Fifth, some data points were missing.
Additionally, some data points were missing as statistics were either not publicly available or not collected.
Some data points were supplemented with results from quantitative real-time PCR (qPCR) analyses.
Additionally, since the data were routinely collected for surveillance purposes some data points were missing, while some could have been entered erroneously.
Although there were 263 genes, we only used 173 in our analysis because some data points were missing and not all the genes were represented in our gold standard network.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com