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Great. How do I use this in my life to make things better?
Implement a statistical software suite that ubiquitously uses this framework instead of the usual hierarchical mixed modeling tools whose assumptions often don't match what experiments were actually done.
You can search for the "peeking" problem in A/B testing.

SPRT also very likely helped win a major war that involved many nations.

From 2014, with 43 cites in Google Scholar: https://scholar.google.com/scholar?cites=4354840623154369813...

Might want to check the cites for more recent work ("Efficiency in sequential testing" looks relevant) and also the literature on "bandit best arm identification", which seems to be distinct from this line of work but tackles broadly the same problem.