The phrase "a useful analysis of" is correct and usable in written English.
You can use it when discussing the value or effectiveness of an analysis in relation to a specific subject or topic.
Example: "The report provides a useful analysis of the current market trends and their implications for future investments."
Alternatives: "an insightful examination of" or "a valuable assessment of".
The equivalent transmission line circuit model is used to achieve a useful analysis of the proposed filter performances.
Steve Case has published a useful analysis of the PlayPump saga http://www.casefoundation.org/blog/painful-acknowledgement-coming-short It makes an interesting follow-on read to this story.
Taxonomies by Noik [Noi94] and Leung and Apperley [LA94] present a useful analysis of Focus+Context techniques, which we will not duplicate here.
For a useful analysis of this problem, see Seth Jones, "Syria's Growing Jihad," Survival 55, no. 4 (2013), pp. 53-72.
But other residents and faculty members said they considered it a useful analysis of the dueling pressures on Muslims in the American military, and some were wary of appearing insensitive toward Muslim culture.
Foreign Policy gives a useful analysis of the two coalitions led by Xi Jinping and Li Keqiang at the highest ranks of the Chinese government that are jockeying to succeed the current leadership.
The EXIT chart [20 22] is a useful analysis tool of the iterative decoding system.
Forbes magazine has provided a useful analysis not only of what's in the bottle, but of the man behind it.
There is a very useful analysis of the long-term impact of training (or the lack of it) rooted in the BBC's experience of training journalists in the 1990s here.
The need for a pragmatically useful analysis of language and cognition is as enormous and varied as its extensions and applications.
To the Editor: Robert Hahn and Peter Passell present a compelling and useful analysis of the costs and benefits of additional oil drilling.
