It depends on whether the whole school/university/institution are listed or individual units/programs/departments within the university/institution. Not every department within a university/institution offers Ph. D. degrees. The University of Dayton offers the Ph.D. in electro-optics but not in physics.
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Od 2015 roku poziom tego wynagrodzenia został ustalony na 2450 zł, co oznacza, że od 1 stycznia 2015 roku stypendium doktoranckie nie może być niższe niż 1470 zł5
(finalna kwota zależy od możliwości finansowych jednostki prowadzącej studia
doktoranckie)
http://www.isns.uw.edu.pl/pliki/studia-doktoranckie/PRZEWODN...

European University Association w Pryncypiach Salzburskich [Salzburg 2010] słusznie
wskazuje, że studia doktoranckie powinny być osadzone w misji i strategii jednostki. Jednostka prowadząca studia doktoranckie powinna przyjąć na siebie odpowiedzialność za ich prowadzone
https://www.ncbr.gov.pl/fileadmin/user_upload/import/tt_cont...

The three Ph.D. granting institutions serve as hosts providing advanced training opportunities for both the INBRE Scholars and faculty associates.

Here scholars obtain practical experience in research laboratories and participate in research projects under the supervision of established investigators who serve as mentors. The scholars present their research at several regional scientific meetings and are listed a co-authors on scientific publications that include their work.
https://www.unmc.edu/inbre/institutions/graduate/index.html

The current program was founded in 2002 as a Ph.D. granting unit. It has since evolved to also offer a Masters of Arts degree
https://acadgov.msu.edu/sites/default/files/content/20181012...

Academic institutions in the U.S., its territories, or possessions that grant
the Ph.D. degree in the sciences and engineering may submit proposals.
The lead institution must grant the Ph.D. degree in at least one of the STEM
fields supported by NSF and at least one Ph.D. granting unit should
participate in the IGERT. Non-Ph.D. granting institutions, nonacademic,
and international organizations may serve as collaborating organizations.
https://acadgov.msu.edu/sites/default/files/content/20181012...
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Students admitted to a Ph.D. granting program at Brown University are guaranteed five years of support that includes a stipend, full tuition scholarship, coverage of the University health insurance fee, and a health insurance subsidy.
https://www.brown.edu/academics/gradschool/graduate-school-h...
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Converse is now a doctoral degree-granting institution after the recent approval of its request for a level-change by the Southern Association of Colleges and Schools Commission on Colleges (SACSCOC). In addition, SACSCOC approved Converse’s first program, a Doctorate of Education in Professional Leadership
https://www.converse.edu/converse-announces-status-as-doctor...

Jeśli to przede wszystkim pojęcie z dziedziny administracji, to kombinowałabym z "responsible institution/entity", w znaczeniu an institution responsible for running the doctoral school.