Psych has many areas of study. Psychobiology, psycholinguistics, behaviorism, cog sci, borderline philosophy, defunct hx lessons in Freud and company, etc.

Cognitive science and behavioral economics have a fairly large overlap on a Venn diagram. There are also dual discipline individuals engaged in both mathematics and psychology.

Practical application and experimentation depend on what flavor of psych you’re engaging with. Dennet or even Pinker are going to read and be applied differently than, say, Kahneman & Tversky.

Vs, say, someone like Elizabeth Loftus back in the repressed memory explosion of the 90s.

How each area can intersect with experimentation is going to vary.

All of that said, who wasn’t fascinated by the idea of Asimov’s Hari Sheldon? I devoured those books in my youth.