"more thoughtful analysis" is correct and usable in written English.
For example, you could use it in a sentence such as: "The professor's more thoughtful analysis revealed surprising insights about the data."
Despite this increasing call for more thoughtful analysis, research and inspection reports seem to suggest that auditors tend to make mechanistic audit decisions in such situations.
We then draw attention to the need for more thoughtful analysis of the appropriate role and limits of economics in making choices about prevention of mental illness.
Consumers who predominantly relied on analytical-rational thinking engaged on a greater information search and a more thoughtful analysis of nutritional information for making their choices than consumers who preferred intuitive-experiential thinking.
So there you have it: politically influenced numbers, another reason not to trust the mainstream media and search out more thoughtful analysis elsewhere.
Far more thoughtful analysis of the Tumblr phenomenon can be found elsewhere, but I can only say that it has completely transformed how I interact with fans and I ain't ever going back.
Such a situation requires a more thoughtful analysis, for example, a stratified analysis or separate subgroup investigations.
More sophisticated polling and more thoughtful poll analysis has raised some hard questions about old assumptions.
To decide whether these were true xenologs or false positives, we carried out a more thoughtful phylogenetic analysis.
I also think it over-privileges the sensational: clickbait becomes preferable to thoughtful analysis, headlines become more important than stories, and people rarely fact-check what they read.
This does not imply a positivist approach to analysis, but a more thoughtful conceptualization of the policy process, that goes beyond 'telling the story'.
I'm beginning to realize that the scattered collection of one-off blog posts I find via sites like Hacker News are both more interesting and more thoughtful than most mainstream-media opinion, context, or analysis pieces.
