- #1

Archosaur

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- TL;DR Summary
- How do I express that a 100% frequency occurrence in a small sample is low "confidence", when, strictly speaking, its 95% confidence interval is (1,1)?

In experiment A: I observe an event 2 times in 2 trials.

In experiment B: I observe an event 100 times in 100 trials.

In both cases, I calculate a frequency of 100%

In both cases, I calculate a 95% confidence interval of (1, 1).

But intuitively the result of experiment B is "stronger" than that of A. How can I express this as a number?

In experiment B: I observe an event 100 times in 100 trials.

In both cases, I calculate a frequency of 100%

In both cases, I calculate a 95% confidence interval of (1, 1).

But intuitively the result of experiment B is "stronger" than that of A. How can I express this as a number?