Hi John,

the negative binomial is a tricky one - there are several different 
parameterisations and therefore different interpretations of the parameters.  
Joseph Hilbe wrote a whole book on it that might be wroth checking.

Cheers,

Andrew


--
Andrew Robinson
Chief Executive Officer, CEBRA and Professor of Biosecurity,
School/s of BioSciences and Mathematics & Statistics
University of Melbourne, VIC 3010 Australia
Tel: (+61) 0403 138 955
Email: a...@unimelb.edu.au
Website: https://researchers.ms.unimelb.edu.au/~apro@unimelb/

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On 15 Sep 2023 at 11:52 AM +1000, Sorkin, John <jsor...@som.umaryland.edu>, 
wrote:
External email: Please exercise caution

Colleagues,

I want to use the power_NetativeBinomial function from the PASSED library. The 
function requires a value for a parameter theta. The meaning of theta is not 
given in the documentation (at least I can�t find it) of the function. Further 
the descriptions of the negative binomial distribution that I am familiar with 
do not mention theta as being a parameter of the distribution. I noticed that 
when one runs the glm.nb function to perform a negative binomial regression one 
obtains a value for theta. This leads to two questions

1. Is the theta required by the power_NetativeBinomial function the theta that 
is produced by the glm.nb function
2. What is theta, and how does it relate to the parameters of the negative 
binomial distribution?

Thank you,
John

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