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"based on the statistics" is a correct and usable phrase in written English.
It can be used to introduce information that is supported or backed up by numbers or data. Example: The decision to implement a new marketing strategy was based on the statistics that showed a decline in sales for the past quarter.
Exact(59)
We compared three methods: one based on the statistics of the flexion data, another based on neural networks, and finally one based on support vector machines (SVM).
Adaptation under linkage confounds the standard population-genetic inference of selection based on the statistics of polymorphisms and substitutions, because it reduces the statistical differences between weakly and strongly selected genomic changes.
The neighbor-based methods compute a threshold for each pixel based on the statistics of the arrangement, i.e., the variance of its neighborhood region.
The temporal organisation of stretches of action potentials was also evaluated with a statistical test, which required a randomisation of the neuronal activity, based on the statistics of the activity itself.
The trouble is that when policy is based on the statistics of a nation riddled with increasing inequality, policy becomes skewed and unfair.
remove criminals convicted of serious crimes, but based on the statistics from I.C.E., that's not what was happening," said Brie Callahan, the governor's spokeswoman.
Our aim is to provide a sense of the admissions decisions made around the country, based on the statistics that we have received so far.
Instead, resource allocation decisions are based on the statistics of the interference over different channels.
We propose a soft decision method based on the statistics of the overlaps.
We implement the computation of saliency based on the statistics of local image regions.
Onat and Miri identify attacks based on the statistics information from the last N packets [9].
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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