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"such an analysis" is a correct and usable phrase in written English.
You would use it to refer to a general type of analysis, usually when it is related to a topic you have just been discussing. For example: "The effects of climate change on the polar ice caps should be studied in depth. Such an analysis would provide a better understanding of the impact on sea levels."
Exact(56)
Such an analysis is months away.
Such an analysis is long overdue, many marine biologists said in interviews.
Along the way the program demonstrates how such an analysis is carried out.
Just such an analysis is driving the F.C.C., now under the control of Bush administration appointees.
But he said doctors told him that the hospital was unable to do such an analysis.
But such an analysis has an eye cast dangerously to the past.
But few seem to have seen such an analysis.
Such an analysis contradicts recent official pronouncements from Pyongyang.
But Mr. Lerner said he thought such an analysis was necessary to put the charter school test scores in context.
Such an analysis could show the board whether there is adequate academic improvement for the amount of money spent.
The outcome of such an analysis then influences whether advisers recommend food aid or, increasingly, a cash-transfer route.
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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