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"compared by using" is a valid phrase in written English that can be used to compare two or more entities.
For example, "The two models were compared by using a series of tests to determine the most effective design."
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Median values were compared by using non parametric tests.
Means were compared by using Student's t test.
Survival curves were compared by using log-rank tests.
Drug release profiles were compared by using model independent methods.
Groups were compared by using the χ2 test.
For categorical variables, differences between groups were compared by using the chi-square test.
Proportions were compared by using the Chi-square test or Fisher's exact test when required.
ARI values were compared by using the Kruskal Wallis test followed by Dunn's test (α = 5%%).
The real-time value for each sample was averaged and compared by using the CT method.
The results of these metrics were statistically compared by using the Wilcoxon rank-sum test.
FPKM of different samples were compared by using Cuffdiff to identify DEGs.
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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