The phrase "a subtle analysis" is correct and usable in written English.
It can be used when referring to a careful and nuanced examination of a subject or topic.
Example: "The researcher provided a subtle analysis of the cultural implications of the new policy, highlighting aspects that were often overlooked."
Alternatives: "a nuanced examination" or "a delicate assessment".
But the account was also a subtle analysis of the event and its subsequent reverberations.
The ontological argument — which, in its most up-to-date version, involves a subtle analysis of how existence might be built into the very definition of being like a god — is "logical abracadabra".
A subtle analysis of a rich and varied body of writing, Birth Certificate is also a careful and sensitive telling of a life that experienced some of the last century's greatest cruelties.
He is also one of those writers who calls satisfied attention to his own coinages: I wasn't convinced by "unimodernism" (modernism everywhere – if only it were); but he is on to something good with his concept of the state of "Unfinish" characteristic of revisable electronic production, on which I shall conduct a subtle analysis after this deadline has passed.
All of her projects reveal a subtle analysis of the rules of the spatial environment in which the work takes place.
Moreover, it provides values of reflectivity of selected stromal layers, thus giving to clinicians a subtle analysis of the donor-host interface characteristics.
The diagnosis of the paradoxes was further enriched by a subtler analysis of purely logical features of paradoxical reasoning: this is especially true for negation and the crucial role of contraction and duplication properties built into the laws of standard implication.
Whereas philosophers often speak in abstractions about concepts like the human condition, human suffering, desire, pleasure and the good life, we suspected that a practicing psychoanalyst might offer us a more subtle analysis of these concepts, grounded in lives of actual persons.
Instead of using averages drawn across the entire customer base, for example, a more subtle analysis would partition the base into behaviorally and attitudinally homogeneous groups that spend at different levels, and it would estimate the shape of acquisition and retention curves for each group.
Buridan, for example, deploys this distinction in a very subtle analysis of some extremely obscure arguments in Aristotle (Knuuttila 2001).
