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The phrase "analysis of a compilation" is correct and usable in written English.
It can be used when discussing the examination or evaluation of a collection of data, works, or materials.
Example: "The analysis of a compilation of historical documents revealed new insights into the events of that era."
Alternatives: "examination of a collection" or "evaluation of an anthology".
Exact(2)
This study reports the results and analysis of a compilation of historic accounts recording the date and sometimes cause of incision in Arizona, Colorado, New Mexico and Utah.
Here, we have attempted an analysis of a compilation of expression profiles to gain insight into the hormonal regulation of liver gene expression.
Similar(58)
Nybom (2004) who conducted an analysis on a compilation of different DNA markers for estimating intraspecific genetic diversity in plants calculated an average of 54.9 polymorphic markers per study.
Performing a similar analysis on a compilation of protein-protein interactions derived from multiple high-throughput sources (the Interologous Interaction Database - I2D) in with the Edge Weight (K I2D ) is defined as the number of protein-protein interaction databases containing a given revealed a similar distribution.
However, we may approach such a dataset by meta-analysis of a compilation of published estimates of development rate with respect to different environmental factors.
Ashktorab et al. now aimed to define a methylome signature in CRC through a methylation microarray analysis and a compilation of promising CIMP markers from the literature.
These studies allowed an analysis of the compilation in terms of strength and wavelength content.
According to a recent analysis by California State University, a compilation of official hate crime data from 20 states shows that in 2015 anti-Islam incidents increased by 78.2% and anti-Arab incidents jumped by 219%, "the most precipitous rise since 2001".
Compilation and analysis of a Nup98 ortholog-derived FG domain database.
CIAR issued separate contracts with RJR, Bellomy, and ORNL (Eisenberg 1993; Heck 1993 OSHA 19955, 9777 9778): for RJR, $360,000 for sampling equipment and materials, field sampling, laboratory analysis of samples, and compilation of raw data; for Bellomy, $480,000 for subject recruitment and selection; and for ORNL, $350,000 for quality assurance and control, and data interpretation and reporting.
The second step of the analysis is the compilation of a list of motifs as candidate cis-elements.
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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