from William A. Wallace, O.P., “Thomism and the Quantum Enigma,” The Thomist 61 (1997): 455–468. (my emphasis):

Aquinas, having been taught by Albert the Great, had an excellent grasp of Aristotle's science of nature. He upgraded the knowledge this gave him to organize, as it were, a science of supernature (that of revealed theology), making use of analogy and the Aristotelian concept of a "mixed science [scientia media]," combining propositions established by reason with propositions assented to by faith. My project would be to do something similar: to take knowledge we possess from ordinary experience of nature to organize the special type of knowing we call modern science, making use of analogy or modeling techniques and the "mixed science" of mathematical physics, which combines propositions established through the observation of nature with those of mathematics. Here I rely on a teaching that is distinctive of Thomism, in contrast to other Scholastic systems of thought, namely, that analogical middle terms are sufficient for a valid demonstration, no less in mathematical physics than in the science of sacred theology. Such terms, and the models they frequently employ, can provide us with insights into the microworld and the megacosm that are not unlike those Aquinas offered his contemporaries into the spirit world of the immaterial and the incorporeal.

Although he mentioned the "mixed science" of modern mathematical physics, I don't see why there couldn't be other mixed sciences, like your example: (social observation) + (psychological introspection and inspection).

from William A. Wallace, O.P., “Thomism and the Quantum Enigma,” The Thomist 61 (1997): 455–468. (my emphasis):

Aquinas, having been taught by Albert the Great, had an excellent grasp of Aristotle's science of nature. He upgraded the knowledge this gave him to organize, as it were, a science of supernature (that of revealed theology), making use of analogy and the Aristotelian concept of a "mixed science [scientia media]," combining propositions established by reason with propositions assented to by faith. My project would be to do something similar: to take knowledge we possess from ordinary experience of nature to organize the special type of knowing we call modern science, making use of analogy or modeling techniques and the "mixed science" of mathematical physics, which combines propositions established through the observation of nature with those of mathematics. Here I rely on a teaching that is distinctive of Thomism, in contrast to other Scholastic systems of thought, namely, that analogical middle terms are sufficient for a valid demonstration, no less in mathematical physics than in the science of sacred theology. Such terms, and the models they frequently employ, can provide us with insights into the microworld and the megacosm that are not unlike those Aquinas offered his contemporaries into the spirit world of the immaterial and the incorporeal.

Although he mentioned the "mixed science" of modern mathematical physics, I don't see why there couldn't be other mixed sciences, like your example: (social observation) + (psychological introspection and inspection).