The phrase "accurately establish" is correct and can be used in written English.
It means to establish or determine something with great precision or accuracy. Example: The team of scientists worked diligently to accurately establish the age of the fossils they had discovered.
Wilkinson said: "Using the skull cast, we could accurately establish the muscle formation from the positions of the skull bones to determine the shape and structure of the face.
In many cases, practical designs of mechanisms need to accurately establish the position of the IC and the centrode.
Apart from bone biopsy, which is invasive and scarcely used, no other technique is available to accurately establish the risk of fracture in kidney patients.
As this calculation is based on the efficiency of a single experimental filter, field testing of replicate biofilters is needed to accurately establish full-scale filter sizing.
Further research with a larger data set should be performed to more accurately establish how CH4 relates to fertility, health, and body conformation traits in dairy cattle.
Accordingly, it has been difficult to accurately establish a relationship between fluctuating pressures on the surface of a cooling tower to inflow conditions.
Consequently, the actual extent of youth violence in London cannot be accurately established.
There was difficulty in accurately establishing the number of victims.
These results imply that the US attenuation properties of the lung are far from accurately established.
Size distribution of SiNCs can be accurately established with the detection of all the crystalline and amorphous silicon precipitates.
However, no accurately established quantitative standards are currently available that can determine the isolation effect from the form of a specific response.
