I have a data set with two groups. I have multiple trials with different
Ns in each trial, and different numbers of trials for each group. In each trial, for each group, I am counting the number of successes.
How can I estimate the proportion of successes for each group under a binomial distribution (i.e. success or failure), with confidence intervals? How can I test whether the proportion of successes is the same between the two groups?
The standard Z-test for proportions is only described for one trial per group.
This question wasn't sufficient: Determining statistical significance of difference between two binomial distributions