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The phrase "based on their means" is correct and can be used in written English.
It is often used to indicate that something is determined or influenced by a person's resources or abilities. Example: The amount of financial aid a student receives is based on their means, taking into account their family's income and assets.
Exact(3)
(Under Clinton's plan, students would contribute to their tuition based on the wages from ten hours of work a week, while their families would give an amount based on their means).
According to the findings, significant results (sig = 0.00) of Friedman test have achieved and proved that the means of items cannot be considered to be the same and we can rank them based on their means.
Finally, probabilistic sensitivity analyses (PSAs) assessed the uncertainty associated with the cost-effectiveness results by performing 5000 simulations for each comparison in which clinical, cost and utility parameters were simultaneously varied randomly within their statistical distributions, based on their means and 95% CIs.
Similar(57)
Because we could not use all of the syndromes we monitor in this analysis, we chose a representative set by grouping syndromes into four categories based on their mean daily counts, and then selecting one syndrome from each group.
Categorical data was presented based on absolute and relative frequencies and numeric variables presented based on their mean and standard deviation where applicable.
Mahalanobis distance calculates the distance between two samples based on their mean feature vectors and, and the covariance matrix of the features across all samples in the database.
The idea behind uniform segmentation is that equally utilized each motion pixel and create a border based on their mean and change in variances.
Park et al. [34] improve Eikvil's method by segmenting the object sub-blocks with the Otsu method and the background sub-blocks based on their mean value.
To determine the importance of variables of this study, we choose a nonparametric approach for dealing with ranking variables based on their mean.
We sorted traumatized rats based on their mean ADC at H2 in vasogenic (increased ADC) or cytotoxic (decreased ADC) subgroups, and PRM analysis performed immediately after TBI was able to precisely predict the type of edema at H2 (specificity 100%, sensibility 88.7%).
Motivated by the practical needs in simulation optimization, this paper considers the problem of selecting the best m and worst n designs from a total of k alternatives based on their mean performance values, which are unknown and can only be estimated via simulation.
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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