The phrase "a more precise assessment" is correct and usable in written English.
You can use it when discussing the need for a clearer or more accurate evaluation of a situation, data, or performance.
Example: "In order to improve our strategy, we need a more precise assessment of our current market position."
Alternatives: "a clearer evaluation" or "a more accurate analysis."
The fair value of C.D.S.'s is a more meaningful figure, though, as it represents a more precise assessment of potential losses and gains.
The Buildings Department expects to have a more precise assessment by early this week of how many buildings must be razed.
The study of diverse criteria may allow for a more precise assessment of the causes of differences in conservation status among populations of a single species.
To provide a new instrument to diagnose frailty, the Frailty Trait Scale (FTS), that allows a more precise assessment and monitoring of individuals.
It is based on the method of statistical reduction and it enables a more precise assessment to be made of the state of a grain mixture as compared with other methods, especially when the mixture represents a large population.
It is generally accepted that incorporation of unsteady rotational sources and sinks into the acoustic energy balance equation leads to a more precise assessment of acoustic instability in rocket chambers.
If possible, future studies should be based on a longitudinal design, as this allows for a much more precise assessment of time trends (and causal effects), of course.
For many diseases, more specific immunological or molecular markers have been discovered, which, when compared to microscopic examination, allow for a significantly more precise assessment of atypical cell counts.
Those investigations should permit an even more precise assessment of barriers to the transferability of cost evaluations in this healthcare setting.
And, of course, conventional high-tech ultrasound devices will still have a place for more precise assessment.
In summary, molecular markers have allowed more precise assessment of an individual patient's prognosis in a number of malignant diseases and, in particular, N-MYC copy number is an important prognostic indicator in neuroblastoma and influences management.
