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The phrase "analysis drew on" is correct and usable in written English.
It can be used when discussing the sources or foundations that informed a particular analysis or study.
Example: "The analysis drew on various theoretical frameworks to support its conclusions."
Alternatives: "analysis relied on" or "analysis utilized".
Exact(23)
Data generation and analysis drew on grounded theory methods including constant comparison and progressive focusing of observations and interviews.
Our analysis drew on existing literature and conceptual frameworks and their applications, linking health sector reforms (such as decentralisation) to human resources management.
(Gordon has a retrospective (pdf) on all this, which tells me something I didn't know: in both cases the analysis drew on a handout presented by Rudi in 1975).
Methods comprised observation of website interactions, participant questionnaires and semi-structured interviews; the analysis drew on the theory of normative and informational social influence, and self-categorisation theory.
Our analysis drew on a structured approach to grounded theory, which involves a combination of inductive analyses of textual data and consideration of theory that is external to the data (Corbin and Strauss [2007]).
Our analysis drew on essentials of grounded theory, including remaining open to ideas emerging from the data, writing detailed analytic memos throughout analysis, using constant comparative analysis, progressing from initial codes to conceptual categories to diagramming the relationships among categories, and finally generating a comprehensive theory (e.g., Charmaz 2006; Birks and Mills 2011).
Similar(37)
It was an outsider's analysis, drawing on a lot of conversations with insiders.
The analysis draws on census information and data gathered by marketers.
Dr. Aveni's analysis draws on the Venus table in the Dresden Codex, written around A.D. 1200.
Our approach is based on a difference-in-differences analysis drawing on two complementary control groups.
Across these dimensions, the analysis draws on nearly 50,000 different data points.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com