The phrase "analysis of the relation" is correct and usable in written English.
It can be used when discussing the examination or evaluation of a connection or relationship between two or more entities, concepts, or variables.
Example: "The analysis of the relation between economic growth and unemployment rates reveals significant insights into labor market dynamics."
Alternatives: "examination of the relationship" or "study of the connection".
We used gene ontology analysis and analysis of the relation of each differentially expressed gene with cancer related processes.
Take mereology — the logical analysis of the relation between parts and wholes.
We investigate the following analysis of the relation between the price and the power.
We present a thorough analysis of the relation between amino acid sequence and local three-dimensional structure in proteins.
With regard to velar size, the logistic analysis of the relation between the number of measurable cases and the face size in C4 and C5 was used.
A careful analysis of the relation between attack types and placement strategies on lines three and four of Table 3 helped us to solve this ambiguous situation.
Eighty-six of the 111 patients without EGFR mutations for whom sufficient tumor tissue was available were included in an exploratory sub-analysis of the relation between BRCA1, RAP80 and Abraxas expression.
Despite our efforts to search for published and unpublished literature, the Harbord test suggested that the meta-analysis of the relation of arterial cord pH and neonatal morbidity may be affected by small study bias.
This HuGE association review involved an updated meta-analysis of the relation between the PPARG Pro12Ala polymorphism and type 2 diabetes among 32,849 cases and 47,456 controls in 60 studies (counting every study's cases and controls only once).
A meta-analysis of the relation of body mass index (BMI) to prostate cancer included 55,521 cases from 31 cohort studies and 13,232 cases from 25case-controlcase-control
A limitation common to all studies, and thus to the meta-analysis of the relation between UCd and HTN, is that the outcome of HTN was not consistently defined across studies.
