Skip to main content

Index Number

  • Reference work entry
The Concise Encyclopedia of Statistics
  • 400 Accesses

In its most general definition, an index number is a value representing the relative variation of a variable between two determined periods (or situations).

The simple index numbers should be distinguished from the composite index numbers.

  • Simple index numbers describe the relative change of a single variable.

  • Composite index numbers allow one to describe with a single number the comparison of the set of values that several variables take in a certain situation with respect to the set of values of the same variables in a reference situation.

The reference situation defines the basis of the index number. We can say, for example, that for reference year (basis year) 1980, a certain index number has a value of 120 in 1982.

HISTORY

The first studies using index numbers date back to the early 18th century.

In 1707, the Anglican Bishop Fleetwood undertook the study of the evolution of prices between the years 1440 and 1700. This study, whose results are presented in his work Chronicon...

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 299.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

REFERENCES

  1. Carli, G.R.: Del valore etc. In: Opere Scelte di Carli, vol. I, p. 299. Custodi, Milan (1764)

    Google Scholar 

  2. Drobisch, M.W.: Über Mittelgrössen und die Anwendbarkeit derselben auf die Berechnung des Steigens und Sinkens des Geldwerts. Berichte über die Verhandlungen der König. Sachs. Ges. Wiss. Leipzig. Math-Phy. Klasse, 23, 25 (1871)

    Google Scholar 

  3. Dutot, C.: Réflexions politiques sur les finances, et le commerce. Vaillant and Nicolas Prevost, The Hague (1738)

    Google Scholar 

  4. Evelyn, Sir G.S.: An account of some endeavours to ascertain a standard of weight and measure. Philos. Trans. 113 (1798)

    Google Scholar 

  5. Fleetwood, W.: Chronicon Preciosum, 2nd edn. Fleetwood, London (1707)

    Google Scholar 

  6. Jevons, W.S.: A Serious Fall in the Value of Gold Ascertained and Its Social Effects Set Forth. Stanford, London (1863)

    Google Scholar 

  7. Kendall, M.G.: The early history of index numbers. In: Kendall, M., Plackett, R.L. (eds.) Studies in the History of Statistics and Probability, vol. II. Griffin, London (1977)

    Google Scholar 

  8. Laspeyres, E.: Hamburger Warenpreise 1850–1863 und die kalifornisch-australischen Geldentdeckung seit 1848. Jahrb. Natl. Stat. 3, 81–118, 209–236 (1864)

    Google Scholar 

  9. Laspeyres, E.: Die Berechnung einer mittleren Waarenpreissteigerung. Jahrb. Natl. Stat. 16, 296–314 (1871)

    Google Scholar 

  10. Lowe, J.: The Present State of England in Regard to Agriculture, Trade, and Finance. Kelley, London (1822)

    Google Scholar 

  11. Paasche, H.: Über die Preisentwicklung der letzten Jahre nach den Hamburger Borsen-notirungen. Jahrb. Natl. Stat. 23, 168–178 (1874)

    Google Scholar 

  12. Palgrave, R.H.I.: Currency and standard of value in England, France and India etc. (1886) In: IUP (1969) British Parliamentary Papers: Session 1886: Third Report and Final Report of the Royal Commission on the Depression in Trade and Industry, with Minutes of Evidence and Appendices, Appendix B. Irish University Press, Shannon

    Google Scholar 

Download references

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag

About this entry

Cite this entry

(2008). Index Number. In: The Concise Encyclopedia of Statistics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-32833-1_192

Download citation

Publish with us

Policies and ethics