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The phrase "analysis will be free" is correct and usable in written English.
It can be used when indicating that a particular analysis or evaluation will not incur any cost to the recipient.
Example: "As part of our promotional offer, the analysis will be free for all new clients this month."
Alternatives: "the analysis will incur no charge" or "the analysis will be complimentary."
Exact(1)
Since the hypotheses, statistical model and significance level are defined and peer-reviewed before we look at any results, the analysis will be free from hindsight bias.
Similar(59)
Admission will be free.
"Russia will be free".
"Swabylon will be free".
Her mind will be free".
Here, they will be free.
Both shows will be free.
Soon you will be free.
There will be free samples.
Scotland will be free and proud.
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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