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The phrase "power of analysis" is correct and usable in written English.
You can use it to describe a person who is skilled at breaking down complex ideas and processes. For example, "John demonstrated the power of analysis when he was able to quickly identify the root cause of the problem."
Exact(43)
This method increases the power of analysis by accounting for the effect of background heritable variation on a trait.
He stressed the power of his calculus to investigate transcendental curves, the very class of "mechanical" objects Descartes had believed lay beyond the power of analysis, and derived a simple analytic formula for the cycloid.
A major internation conference, The Power of Analysis, was held at Princeton University on May 4-8 , 2009 in honor of the extraordinary research accomplishments of Charles Fefferman, on the occasion of his 60th birthday.
"Part of my mission here at the State Department is to demonstrate the power of analysis and insight that scholars of religion bring to the work we do here," Casey says.
It is up to you as graduates to channel the skills you learned during your degree - power of analysis; the ability to summarize complex ideas; presentation skills; writing skills; team work; qualitative and quantitative research methods; interviewing; running focus groups; and so on - and show employers how these could be transferred for use at the workplace.
Changes to A-levels are being introduced in time for next summer's exam, with a new A* grade coming in and a pledge that exam boards will ask harder, more open-ended questions, which stretch pupils' creative-thinking skills and power of analysis.
Similar(17)
The consequences of such variability in growth on experimental designs and power of analysis-of-variance models are discussed.
Her powers of analysis and ability to seize on resonant detail are in demand.
Kelly was a highly intelligent man who took pride in his powers of analysis.
They've not got the kind of vision about the future, and the powers of analysis and the credibility".
The rote education system "leaves many weak on powers of analysis and leadership".
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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