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MRB3855
Super User

Confidence intervals for difference in proportions

Hi All: I've attached an example data set to highlight an issue that confuses me.  Suppose I want a confidence interval for the difference in two proportions.  Should be easy enough. So, via Fit Y by X (JMP v18.0.0), I get three intervals under the following headings:

Two Sample Test for Proportions.

Risk Difference

TOST Tests

MRB3855_0-1759313531636.png

As you can see, the intervals are not consistent with each other.

My question(s) is this:

1. Why are they not the same?

2. What formulae is used for each?

3. Am I missing something?

I did find this for the Two Sample Proportions Report (could be more explicit IMHO).

 Two Sample Test for Proportions Report

 

Thanks for your learned consideration!

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