The phrase "a well established relationship between" is correct and usable in written English.
You can use it when discussing the connection or correlation between two or more entities, concepts, or variables.
Example: "There is a well established relationship between exercise and mental health, as numerous studies have shown."
Alternatives: "a strong connection between" or "a solid link between".
There is a well established relationship between migraine, depression and anxiety [9, 28].
There is a well established relationship between adipocyte size and insulin sensitivity, i.e., the larger the adipocytes, the lower their sensitivity to insulin [18].
There is a well established relationship between the proportion of retreatment cases and proportion of MDR among new cases [ 8].
There is a well established relationship between volume of work and outcomes in healthcare, particularly for surgery.
The premise for including the asset index as an indicator of health care need is that it is a measure of socioeconomic status and there is a well established relationship between health and socioeconomic status [ 14].
However, considering the very long breast cancer related death survival in asymptomatic women (especially in effective screening programs, where the detected cancers tend to have an excellent prognosis), and taking into account the well established relationship between tumor staging and survival [ 24], we chose this variable as the primary endpoint of our program.
The well established relationship between inflammation and anaemia was confirmed in this study by significant associations between lower haemoglobin concentrations and higher DAS28ESR and by faster haemoglobin normalisation after TNF-α blockade.
Checking and correction of data were required before the data could be used: a common problem was erroneous units, values below detection limits coded in different ways, as well as numerous other irregularities; Data quality was further checked by revealing outliers and testing well established relationships (e.g., between conductivity and alkalinity, chlorophyll -a and TP).
The overall changes in the subunit A of dhMtb-BirA structure appear to mimic those that arise during substrate binding (Figure 4) and corroborate well with the established relationship between hydration, mobility and enzyme action [20].
There is an established relationship between obesity and headache.
NP T2 correlated well with aggrecan gene expression, confirming the established relationship between T2 and proteoglycan at gene expression level.
