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No variable had more than 5% missing values; where missing values existed, they were inputed using the relevant mean [33].
Additionally some missing values existed for subsets of proteins (e.g. CM10 or IMAC).
Additionally, not all village doctors participated in this survey, and missing values existed in the data collection.
As missing values existed in our longitudinal cohort data, multiple imputation had to be performed before the GEE analysis and causal network construction.
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This approach depended on the domains at the dimensions where missing values exist and a large number of fuzzy observations would be generated for each input.
When missing values exist, one should consider all possible states for the missing values and sum up the one-step probabilities for all possible routes to obtain the multi-step transition probabilities.
Where missing values exist, an SCI-R scale score can be imputed as long as the scale remains reliable (i.e. α > 0.70) with fewer than 13 items contributing to the scale score.
Missing values will be imputed.
Therefore, we set all methylation data to missing values whenever a genetic variant existed within the region of +/−110 base pairs of the CpG, based on our whole-genome sequencing data.
A substantial body of statistical literature has long existed that addresses missing values utilizing probabilistic models [ 7].
From the original 6152 ORFS we removed those with missing values and the ones that no longer existed in SGD (Saccharomyces Genome Database).
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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