"deeper interpretation" is correct and usable in written English.
You can use it when you need to express the need to explore a concept, idea, or situation beyond the surface level. For example, "When studying William Shakespeare's plays, we must go beyond the basic plot and look for a deeper interpretation of the characters and story."
My rendering of the tale killed any deeper interpretation.
It's a way of not thinking, and opening up the work to deeper interpretation.
And it is well worth the stay to experience a deeper interpretation of place.
We further leveraged the context of functional impact from protein-coding to regulatory regions, providing a deeper interpretation of these associations.
The accurate knowledge of these structures, together with the stabilities of these phases vs. temperature, allows deeper interpretation and fitting of many of their physical properties.
Results make it possible to provide deeper interpretation about the effectiveness of each feature for discrimination in target classes for query proteins.
Deeper exploration wells should be drilled to provide data for analyzing and constraining deeper interpretations.
I consider photographs to be quite passive, while a painting deeply involves the viewer and force him to think about what he is looking at, to reflect and to find hide meanings and deeper interpretations.
His use of sequins and glitter bring a surface-level attraction to each piece, inviting deeper interpretations.
In qualitative description, participants' descriptive and narrative text in interviews is upheld as "a vehicle of communication" reflecting attention to the "surface of words and events" more than consideration of theoretically-driven meanings and deeper interpretations of text [ 13].
We were aware of past criticisms that much comparative research fails to go beyond descriptive accounts of the individual countries included to produce deeper interpretations and genuine integration of scholarship [ 15, 17, 20].
