Talk:Diversity index

message: This page is inconsistent with Simpson's diversity index, but this one is correct.  Perhaps the other page should be deleted/merged? 128.42.145.156 (talk) 06:11, 10 November 2009 (UTC)

message: "A diversity index is a quantitative measure that increases when the number of types into which a set of entities has been classified increases, and obtains its maximum value for a given number of types when all types are represented by the same number of entities"
errr.. what? i think a simpler introduction is needed. --128.250.5.249 (talk) 07:48, 21 August 2012 (UTC)
thread_title: Introduction

message: I think the definition is wrong, in my opinion it should be "ln" instead of "log". Maybe someone could check? --93.133.255.155 (talk) 16:54, 10 December 2012 (UTC)
thread_title: Definition Shannon-Index

message: Why does the definition of qD have the term p_i*p_i^(q-1), when this is simply equal to p_i^q?  It seems these two p's may be slightly different, however this is not clear in the text.  — Preceding unsigned comment added by Bbeckerman (talk • contribs) 21:51, 23 September 2013 (UTC)
thread_title: True diversity (The effective number of types)

message: The article focuses on weighted generalized means, where the generalized mean is restricted to the form M_{q-1} = \left(\sum_i w_i p_i^{q-1}\right)^{1/(q-1)} for any q≥0, and where the weight wi is required to be simply pi.  However, for any weighting function w(p) and any strictly monotonic function f(p), there is a more general mean
:M_{w,f} = f^{-1}\left(\frac{\sum_i w(p_i)f(p_i)}{\sum_i w(p_i)}\right) = 1 / D^{w,f}\,.
That is, one takes the weighted average of the f(pi) values, where the denominator in the definition of Mw,f normalizes the weights to sum to 1, and then uses the inverse of f to bring that weighted average back to the same space that the pi values live in.  If you have citations to the literature for this general diversity index, would you add them and a discussion to the article?  Leegrc (talk) 14:30, 13 February 2015 (UTC)
thread_title:  Generalized diversity 

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thread_title:  External links modified 

message: I just made an edit to reorganize the page by moving the section "Effective number of species or Hill numbers" from the end of the article to the beginning. (Other than that, I didn't change the article except for a few minor things like taking out the word "different" when it was unnecessary, changing "more equal" to "closer", and other wording changes, as well as adding a link to the article on the number one in case some readers don't know that "unity" is another word for "one"). 
This change was necessary because the article refers to the effective number of species  throughout. It also refers to the parameter  and the generalized mean  throughout but did not mention what either one meant the first time they were mentioned. The article made no sense when it was organized this way, so I moved the section defining  and  to the beginning. The article now flows much better.
I am also wondering if we still need the multiple issues tag. It looks like every issue in the Talk page has been resolved except for the section "Generalized diversity", but that section is just a suggested addition, not an issue with the article.
2600:1702:3190:38A0:59B8:2AD3:9EA8:F2D0 (talk) 18:45, 8 August 2021 (UTC)
replies: text: I just changed 'unity' to one (1) throughout. Although I'm sure that using 'unity' to mean 'one' is common enough in some fields, I'm a professor in a STEM field and had never encountered it before this article, so it definitely qualifies as jargon that we'd want to replace to make the article more accessible. 2601:152:5001:7CD0:F8FC:6F00:7C8:E979 (talk) 18:09, 7 September 2023 (UTC)
thread_title:  Reorganization/Can we remove the Multiple Issues tag?