Uh, strike the “how would the math change?” question—I just read the relevant portion of Jaynes’s paper, which gives a plausible answer to that. Still, I deny that an actual practicing frequentist would follow his logic and treat n as the random variable.
(ALSO: another dose of unreality in the scenario: what experimenter who decided to play it like that would ever reveal the quirky methodology?)
Uh, strike the “how would the math change?” question—I just read the relevant portion of Jaynes’s paper, which gives a plausible answer to that. Still, I deny that an actual practicing frequentist would follow his logic and treat n as the random variable.
(ALSO: another dose of unreality in the scenario: what experimenter who decided to play it like that would ever reveal the quirky methodology?)