"this study drew" is correct and usable in written English.
You can use it to refer to a study which has collected data or conducted a type of research. For example, "This study drew on a variety of sources to gain insight into the minds of teenagers."
Active-learning instructors in this study drew on rich pedagogical knowledge.
This study drew its inspiration from the Brazilian educator and thinker Paulo Freire's quest for "freedom" (1996, 1999).
This study drew upon data obtained from a survey of 79 undergraduate criminal justice and policing students studying at an Australian university.
This study drew on disability data for 5121 nationally representative middle-aged and older adults from the 1996 2003 Survey of Health and Living Status of the Elderly in Taiwan (SHLSET).
Owing to the dearth of studies analysing choices of treatments in spa settings, this study drew on choice theory and Gesler's concept of therapeutic landscape to offer novel insights on spa-goers' choice of treatments.
This study drew upon thematic analysis [ 25].
To the degree that this study draws attention to Governor Bush's record in Texas, we believe it should work to his advantage.
This study draws on the method of structured observation designed by Mintzberg4 (1973).
This study draws on stakeholder theory to explore organizations' use of different types of environmental audits.
This study draws connections between the efficacy of these systems and the technologies and environmental factors affecting their use.
This study draws upon secondary data and primary information collected from interviews, with stakeholders representing five selected RE initiatives in Oman.
