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The phrase "the appropriate method" is correct and usable in written English.
You can use it when referring to a suitable or fitting way to accomplish a task or solve a problem. Example: "In order to achieve the best results, it is essential to choose the appropriate method for data analysis."
Exact(60)
Still, as Reiss says, "Irene really found the appropriate method based on what we know about these birds.
The appropriate method of obtaining such materials would be the issuance of a subpoena," she wrote.
As Gladwell's article successfully illustrates, drinking patterns exist within cultural paradigms — such as religious practices — that define the appropriate method and quantity of alcohol consumption.
"Precedent suggests the appropriate method for replacing Mr Day in the Senate would therefore be through a recount of the SA Senate vote rather than through the SA parliament appointing a replacement".
It cannot be determined a priori but only by whatever is the appropriate method for discovering a fact of that kind.
For ordinal survey data such as ours, CA is the appropriate method [3].
Although, based on feedstock types and availability of technology, the appropriate method can be selected.
Thus, by choosing the appropriate method, weakly- or strongly-binding IgG can be efficiently compared.
At the end, we propose some guidelines to choose the appropriate method.
Therefore, the selection of the appropriate method chiefly depends on the specific site characteristics and availability of the required data.
This served as the motivation to select structural equation modelling (SEM) as the appropriate method of analysis.
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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