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The phrase "a design study based on a" is correct and usable in written English.
You can use it when referring to a research or analysis project that is founded on a specific concept, theory, or set of data.
Example: "The researchers conducted a design study based on a new approach to sustainable architecture."
Alternatives: "a design study grounded in a" or "a design study derived from a".
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JAJ and SRM conceived and designed the study, based on a previous study led by WJK.
Design Population based longitudinal cohort study based on a stratified random sample of households.
We designed an observational, descriptive, cross-sectional (prevalence) study based on a health survey [ 12].
Design Cohort study based on data from a prospective clinical database and electronically registered medical records.
We conducted simulation studies based on a two-armed CRT design with binary outcomes.
DESIGN: Retrospective study based on the National Inpatient Sample from 1997 through 2005.
Design Cohort study based on national hospital episode statistics.
Design Observational study based on analysis of geographically coded police data on road casualties, 1986-2006.
O.F.B., I.M.G. and P.M.T. designed the study based on data collection that had been led by I.M.G. and P.M.T. O.F.B. and T.C. designed the generalized additive modelling analysis.
BM designed the study based on discussions with HWF and TH.
Study design: Case-control study based on medical records.
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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