The phrase "a purported relationship between" is correct and usable in written English.
It can be used when discussing a relationship that is claimed or alleged but not necessarily proven or accepted as true.
Example: "The study investigates a purported relationship between diet and mental health, although further research is needed to establish any definitive links."
Alternatives: "an alleged connection between" or "a claimed relationship between".
The statement, issued through the public relations firm Sitrick and Company, which specializes in crisis management, said: "The news report about a purported relationship between Alex Rodriguez and Anthony Bosch is not true.
"The news report about a purported relationship between Alex Rodriguez and Anthony Bosch are not true," the statement read.
At this point, it is worth mentioning a purported relationship between Fyn and Tau.
To examine the generality of the purported relationship between larger brain size and capacity to thrive in a novel environment, we have analysed data on anthropogenic introductions of amphibians and reptiles to areas outside of their native geographic ranges.
A caricatured version is sometimes taken off the shelf and dusted off, as we saw with the hyperbolic exploitation of the purported "relationship" between Obama and former Weather Underground founder William Ayers.
For example, physical activity could explain the purported relationship between greenspace and morbidity, 14 but this has not been clearly shown in all studies.
In summary, the purported relationship between phthalate exposure and early the-larche (Colón et al. 2000) seems highly unlikely, in part because the reported exposure levels do not seem plausible given other information on phthalate exposure, and also because phthalates do not influence the timing of female sexual development in laboratory studies.
Poverty and blindness are believed to be intimately linked, but empirical data supporting this purported relationship are sparse.
Given the purported close relationship between Wikileaks and the Kremlin, this suggests either that Putin has decided to hold damaging Clinton material for now or, less likely, that no Wkileaks supplier has hacked them.
Although the police officer and the tavern owner claimed to be cousins, investigators, according to the complaint, were unable to "confirm that there is, in fact, a familial relationship between the purported cousins".
Unfortunately, many of these purported relationships were of dubious worth.
