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Index (statistics)

From Wikipedia, the free encyclopedia
Statistical term, a compound measure in statistics
Sample of statistics graph
Sample of a well maintained data[clarification needed]
CDC/ATSDR Social Vulnerability Index variables grouped into four themes

In statistics andresearch design, anindex is acomposite statistic – a measure of changes in a representative group of individual data points, or in other words, a compound measure that aggregates multipleindicators.[1][2] Indices – also known asindexes andcomposite indicators – summarize and rank specific observations.[2]

Much data in the field of social sciences and sustainability are represented in various indices such asGender Gap Index,Human Development Index or theDow Jones Industrial Average. The ‘Report by the Commission on the Measurement of Economic Performance and Social Progress’, written byJoseph Stiglitz,Amartya Sen, andJean-Paul Fitoussi in 2009[3] suggests that these measures have experienced a dramatic growth in recent years due to three concurring factors:

  • improvements in the level of literacy (including statistical)
  • increased complexity of modern societies and economies, and
  • widespread availability of information technology.

According to Earl Babbie, items in indices are usually weighted equally, unless there are some reasons against it (for example, if two items reflect essentially the same aspect of a variable, they could have a weight of 0.5 each).[4]

According to the same author,[5] constructing the items involves four steps. First, items should be selected based on theircontent validity, unidimensionality, the degree ofspecificity in which a dimension is to be measured, and their amount ofvariance. Items should be empirically related to one another, which leads to the second step of examining their multivariate relationships. Third, index scores are designed, which involves determining score ranges and weights for the items. Finally, indices should be validated, which involves testing whether they can predict indicators related to the measured variable not used in their construction.[5]

A handbook for the construction of composite indicators (CIs) was published jointly by theOECD and by the European Commission'sJoint Research Centre in 2008.[6] The handbook – officially endorsed by the OECD high level statistical committee, describe ten recursive steps for developing an index:[7]

  • Step 1: Theoretical framework
  • Step 2: Data selection
  • Step 3: Imputation of missing data
  • Step 4: Multivariate analysis
  • Step 5: Normalisation
  • Step 6: Weighting
  • Step 7: Aggregating indicators
  • Step 8: Sensitivity analysis
  • Step 9: Link to other measures
  • Step 10: Visualisation

As suggested by the list, many modelling choices are needed to construct a composite indicator, which makes their use controversial.[6] The delicate issue of assigning and validating weights is discussed e.g. in.[8] A sociological reading of the nature of composite indicators is offered byPaul-Marie Boulanger, who sees these measures at the intersection of three movements:[9]

  • the democratisation of expertise, the concept that more knowledge is needed to tackle societal and environmental issues that can be provided by the sole experts – this line of thought connects to the concept of extended peer community developed bypost-normal science
  • the impulse to the creation of a new public through a process of social discovery, which can be reconnected to the work of pragmatists such asJohn Dewey
  • thesemiotic ofCharles Sanders Peirce; Thus a CI is not just a sign or a number, but suggests an action or a behaviour.

A subsequent work by Boulanger[10] analyses composite indicators in light of the social system theories ofNiklas Luhmann to investigate how different measurements of progress are or are not taken up.

See also

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References

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  1. ^Hawken, Angela; Munck, Gerardo L. (24 April 2012). "Cross-National Indices with Gender-Differentiated Data: What Do They Measure? How Valid Are They?".Social Indicators Research.111 (3):801–838.doi:10.1007/s11205-012-0035-7.S2CID 144274479.
  2. ^abEarl Babbie (1 January 2012).The Practice of Social Research. Cengage Learning. p. 159.ISBN 978-1-133-04979-1.
  3. ^Stiglitz, J., Sen, A., & Fitoussi, J.-P. (2009). [Report by the Commission on the Measurement of Economic Performance and Social Progress.]
  4. ^Earl Babbie (1 January 2012).The Practice of Social Research. Cengage Learning. p. 162.ISBN 978-1-133-04979-1.
  5. ^abEarl Babbie (1 January 2012).The Practice of Social Research. Cengage Learning. p. 185.ISBN 978-1-133-04979-1.
  6. ^abOECD-JRC (2008). Handbook on constructing composite indicators: Methodology and user guide, OECD Statistics working paper JT00188147, STD/DOC(2005)3.
  7. ^JRC web pages on composite indicators
  8. ^Becker W., Paruolo P., Saisana M., Saltelli A. (2017) Weights and Importance in Composite Indicators: Mind the Gap. In: Ghanem R., Higdon D., Owhadi H. (eds) Handbook of Uncertainty Quantification. Springer.
  9. ^Boulanger, P.-M. (2014).Elements for a comprehensive assessment of public indicators, Report EUR 26921 EN.
  10. ^Boulanger, P.-M. (2018). A systems-theoretical perspective on sustainable development and indicators. In S. Bell & S. Morse (Eds.), The Routledge handbook of sustainability indicators. London: Taylor & Francis.
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