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Treat them as two draws from possibly different, independent distributions. The question is whether the distribution that drew 7 “stochastically dominates” the
by senkora 2y ago
Treat them as two draws from possibly different, independent distributions.
The question is whether the distribution that drew 7 “stochastically dominates” the distribution that drew 5. You may or may not be able to conclude that based on the available data and assumptions about the distributions.
https://en.m.wikipedia.org/wiki/Stochastic_dominance https://en.m.wikipedia.org/wiki/Stochastic_dominance
For example, if you assume that the two distributions are approximately normal with very small variances, then you can probably conclude that the distribution that drew 7 stochastically dominates the distribution that drew 5. But if you assume that the variances are large, then you probably can’t conclude that.