source for sample size calculation formula

Question

A customer asked :

There is a JMP on demand webinar (here, at about the 4 minute mark) which uses a certain equation (shown below). I may need to reference this equation in some documentation. Could you let me know the source of it, so that I can potentially acquire it and refer to it?

The link refers to : here
Does any have a source for this equation?

MikeD_Anderson · Accepted Answer

It's explained in Meeker's book - Statistical Methods for Reliability Data.  Chapter 10, Section 10.6.  It shows up explicitly in subsection 10.6.2.  He talks about it in terms of the "quantile of interest (1-p)" and not "reliability (R)", but I think he's doing that to simplify the concept for the audience in the video.