The phrase "attributed great" is correct and usable in written English.
It can be used when discussing the significance or importance assigned to something, often in the context of achievements or qualities.
Example: "The scientist was attributed great respect for her groundbreaking research in renewable energy."
Alternatives: "assigned significant" or "given considerable".
"As the only two valuable iron artifacts from ancient Egypt so far accurately analysed are of meteoritic origin," the team that studied the knife wrote, "we suggest that ancient Egyptians attributed great value to meteoritic iron for the production of fine ornamental or ceremonial objects".
The Mayan civilization attributed great importance to greenstone minerals, in particular jadeite.
New Age believers and doomsday types have attributed great meaning to the Dec. 21, 2012 date, with some predicting an apocalypse and others some sort of profound global spiritual event.
Exemplifying this, some skeptics this fall attributed great importance to the fact that arctic sea ice was more extensive this summer than it was last summer, while ignoring the longer-term trend of dramatically shrinking ice -- not to mention the fact that this summer, although an improvement over last summer, still saw the sixth smallest arctic sea ice pack on record.
Although Mendelssohn attributed great importance to musical education, and made a substantial commitment to the Conservatoire he founded in Leipzig, he did not greatly enjoy teaching and undertook only a very few private pupils; these he took only if he believed they had notable qualities or potential.
(W12) Women attributed great importance to the role of their spouses during childbirth.
Surgical treatment seekers, however, reported significantly greater emotional eating and attributed greater impairment in their quality of life to their weight.
Overall, the participants attributed greater importance to the usability aspects that are linked to error prevention (H5); and recover from errors (H9).
Participants attributed greater "reward value" to junk foods when they were experiencing stress than when they were not.
When participants falsely believed their heart rate had changed (increased or decreased), they attributed greater attractiveness to the images.
Parents and youth attributed greater mealtime flexibility to basal-bolus insulin regimens.
