The phrase "applied the methodology of" is correct and usable in written English.
You can use it when discussing the implementation of a specific method or approach in research, analysis, or practice.
Example: "In her research, she applied the methodology of qualitative analysis to gather insights from the participants."
Alternatives: "utilized the method of" or "employed the approach of".
In this study, we applied the methodology of georectification to compare historical maps with current orthophotos from 2005.
We applied the methodology of energy targeting through HEN design (using pinch technology) at several values of mean temperature difference (ΔTmin); where the maximum percentage of energy saving was 37% for hot and cold utility which directly leads to percentage reduction of gas emission by 29% for CO2 and 17% for SOx.
In order to define RSN and artifactual components that were equivalent networks/artifacts across the 3 acquisitions, we applied the methodology of a "group-averaged" ICA followed by dual-regression of the group-average spatial maps into each of the 3 separate datasets [57].
Was applied the methodology of the European Committee for Standardization, EN1499 version April 2013, indicated to evaluate the efficacy of antiseptics for hand hygiene.
We applied the methodology of the United State Environmental Protection Agency [ 15] and Agency for Toxic Substances and Disease Register [ 17], which was adapted to measure the local exposure to PM2.5 in regions of elevated biomass burning.
In an attempt to reproduce the Israeli findings, we applied the methodology of that study to 2 comparable cohorts in Scotland that were recruited and rescreened in the 1970s and followed up until the end of 2010.
We have also applied the methodology to a number of real disease traits.
In this book Walter applies the methodology of neurophilosophy to one of philosophy's central challenges, the notion of free will.
The fracture toughness was measured by an elasto-plastic fracture mechanics approach, applying the methodology of the essential work of fracture, and by conventional testing.
Rawls applies the methodology, of course, to justify considered moral judgments found outside of science.
