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M_Kraus
M_Kraus
Level I

Usage of Beta Binomial Distribution in Manufacturing - reference to JMP Help Info?

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Created: Aug 20, 2020 09:58 AM  |  Last Modified: Jun 10, 2023 1:38 PM (690 views)

In JMP help under Discrete Fit Distributions, the following is mentioned:

Beta Binomial

This distribution is useful when the data is a combination of several Binomial(p) distributions, each with a different p. One example is the overall number of defects combined from multiple manufacturing lines, when the mean number of defects (p) varies between the lines.
 
Does anyone has a reference, article, supporting this statement?
Kind regards
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Byron_JMP
Staff Byron_JMP
Staff

Re: Usage of Beta Binomial Distribution in Manufacturing - reference to JMP Help Info?

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Created: Mar 23, 2022 04:31 PM  |  Last Modified: Mar 23, 2022 1:31 PM (421 views)  |  Posted in reply to message from M_Kraus 08-20-2020

On this page:

https://www.jmp.com/support/help/en/15.2/index.shtml#page/jmp/discrete-fit-distributions.shtml#ww116...

 

Agresti and Coull are referenced here.

Agresti, A., and Coull, B. A. (1998). “Approximate is Better Than ‘Exact’ for Interval Estimation of Binomial Proportions.” American Statistician 52:119–126.

JMP Systems Engineer, Health and Life Sciences (Pharma)