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The phrase "a theoretical analysis of the data" is correct and usable in written English.
It can be used in academic or research contexts when discussing the examination or interpretation of data through a theoretical framework.
Example: "In this study, we conducted a theoretical analysis of the data to better understand the underlying patterns and relationships."
Alternatives: "a conceptual examination of the data" or "a theoretical evaluation of the data."
Exact(1)
Section 3 provides a theoretical analysis of the data BW-limited performance of the B-R-D optimization.
Similar(59)
The section titled "Theoretical Analysis", provides a theoretical analysis of the proposed algorithm.
However, a theoretical analysis of the collision probability is complicated.
A theoretical analysis of these dependencies is complicated.
(2000) present a theoretical analysis of relational responding.
Theoretical analysis of the ORR data on cobalt and nickel oxides was performed.
The theoretical analysis of the mechanism reaches good agreement with the experimental data.
Here we present the theoretical analysis of the z-resolution.
However, the rapidly developing experimental C tracer metabolomics surpasses the theoretical analysis of measured data.
ANM developed theoretical approach, made calculations, and provided theoretical analysis of data.
A theoretical analysis fits rather well the test data and provides explanation to several aspects of pull-out tests.
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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