Diversity as Business KPI – Alpha and Beta Diversity – Video

a-b-diversityThe video explains partitioning of Shannon diversity into two independent components: alpha (within group) and beta (in between groups) diversity. It helps to understand beta diversity as a measure of variation between different samples of data distributions. Some practical applications in the field of business analysis are shown.

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BPMSG Diversity Calculator – Excel

The diversity calculator is an excel template that allows you to calculate alpha-, beta- and gamma diversity for a set samples (input data), and to analyze similarities between the samples based on partitioning diversity in alpha and beta diversity.

The template works under Windows OS and Excel 2010 (xlsx extension). No macros or links to external workbooks are necessary. The workbook consists of an input worksheet for a set of data samples, a calculation worksheet, where all necessary calculations are done, and a result worksheet “beta” displaying the results.

Applications

The template may be used to partiton data distributions into alpha and beta diversity, it can be applied in many areas, for example

  • Bio diversity – local (alpha) and regional (beta) diversity
  • AHP group consensus – identify sub-goups of decision makers with similar priorities
  • Marketing – cluster analysis of similarities in markets
  • Business diversification over time periods
  • and many more.

Let me know your application! If you just need to calculate a set of diversity indices, you can use my online diversity calculator here.

Calculations and results

Following data will be calculated and displayed:

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  • Shannon Entropy H (natural logarithm) alpha-, beta- and gamma, and corresponding Hill numbers (true diversity of order one) for all samples
  • Homogeneity measure
    1. Mac Arthur homogeneity indicator M
    2. Relative homogeneity S
    3. AHP group consensus S* (for AHP priority distributions)

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  • Table 1: Shannon alpha-entropy, Equitability, Simpson Dominance, Gini-Simpson index and Hill numbers for each data sample

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  • Table 2: Top 24 pairs of most similar samples
  • Page 2: Matrix of pairs of data samples
  • Diagram 1: Gini-Simpson index and Shannon Equitability
  • Diagram 2: Average proportional distribution for all classes/categories
  • Diagram 3: Proportional distribution sorted from largest to smallest proportion (relative abundance)

Limitations:

  • Maximum number of classes/categories: 20
  • Maximum number of samples: 24

Description of the template:  BPMSG-Diversity-Calc-v14-09-08.pdf

Other posts explaining the concept of diversity

Downloads

PLEASE READ before DOWNLOAD
The template is free. So I would really appreciate, if you could – at least – feedback or write me about your application of AHP, and the use of the template. Thank you!

Download BPMSG Diversity Calculator Version 14.02.13 (zip) download

The work is licensed under the Creative Commons Attribution-Noncommercial 3.0 Singapore License. For terms of use please see our user agreement and privacy policy.

As this version is the first release, please feedback any bugs or problems you might encounter.

Incoming search terms:

  • shannon diversity index calculator
  • beta diversity calculation
  • beta diversity formula for excel
  • how to calculate beta diversity in microsoft excel
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Combining AHP and Diversity

Combining AHP and diversity – a new approach. Consensus indicator for group judgments. Looking forward to present on the ISAHP 2013 in Kuala Lumpur.

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