Conditionality principle

Conditionality principle

The conditionality principle is a Fisherian principle of statistical inference that Allan Birnbaum formally defined and studied in his 1962 JASA article. Together with the sufficiency principle, Birnbaum's version of the principle implies the famous likelihood principle. Although the relevance of the proof to data analysis remains controversial among statisticians, many Bayesians and likelihoodists consider the likelihood principle foundational for statistical inference.

Formulation

The conditionality principle makes an assertion about an experiment E that can be described as a mixture of several component experiments Eh where h is an ancillary statistic (i.e. a statistic whose probability distribution does not depend on unknown parameter values). This means that observing a specific outcome x of experiment E is equivalent to observing the value of h and taking an observation xh from the component experiment Eh.

The conditionality principle can be formally stated thus:

Conditionality Principle: If E is any experiment having the form of a mixture of component experiments Eh, then for each outcome (Eh,xh) of E, [...] the evidential meaning of any outcome x of any mixture experiment E is the same as that of the corresponding outcome xh of the corresponding component experiment Eh, ignoring the over-all structure of the mixed experiment. (See Birnbaum 1962)

Informally, the conditionality principle can be taken as to claim the irrelevance of component experiments that were not actually performed.

References

Further reading

Kalbfleisch, J. D. (1975). "Sufficiency and conditionality". Biometrika 62 (2): 251–259. doi:10.1093/biomet/62.2.251. 


Wikimedia Foundation. 2010.

Игры ⚽ Нужен реферат?

Look at other dictionaries:

  • Conditionality (disambiguation) — Conditionality may refer to: Conditionality, in political economy and international relations Conditionality (Buddhism), also known as Pratitya samutpada Conditionality principle in statistical inference Instrumental conditionality of objects in… …   Wikipedia

  • conditionality — The terms under which the International Monetary Fund (IMF) provides balance of payments support to member states. The principle is that support will only be given on the condition that it is accompanied by steps to solve the underlying problem.… …   Big dictionary of business and management

  • Likelihood principle — In statistics,the likelihood principle is a controversial principle of statistical inference which asserts that all of the information in a sample is contained in the likelihood function.A likelihood function arises from a conditional probability …   Wikipedia

  • List of statistics topics — Please add any Wikipedia articles related to statistics that are not already on this list.The Related changes link in the margin of this page (below search) leads to a list of the most recent changes to the articles listed below. To see the most… …   Wikipedia

  • List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …   Wikipedia

  • Conditional Cash Transfer — (CCT) programs aim to reduce poverty by making welfare programs conditional upon the receivers actions. The government only transfers the money to persons who meet certain criteria. These criteria may include enrolling children into public… …   Wikipedia

  • Aid — For other uses, see Aid (disambiguation). Not to be confused with Ade, Aide, AIDS, or Ayd. Aiding redirects here. It is not to be confused with Ayding. Aid received, per capita, in 2007, in $ of Official Development Assistance per person. Note… …   Wikipedia

  • Ockham’s world and future — Arthur Gibson PHILOSOPHICAL BIOGRAPHY Ockham was born in about 1285, certainly before 1290, probably in the village of Ockham, Surrey, near London. If his epitaph is accurate, he died on 10 April 1347. Yet Conrad of Megenberg, when writing to… …   History of philosophy

  • Augustine — Gerard O’Daly 1 LIFE AND PHILOSOPHICAL READINGS Augustine was born in Thagaste (modern Souk Ahras in Algeria) in Roman North Africa in AD 354. He died as bishop of Hippo (now Annaba, Algeria) in 430. His education followed the standard Roman… …   History of philosophy

  • ACP-EU Development Cooperation — Development cooperation between the European Union and the countries of the African, Caribbean and Pacific (ACP) celebrated its 50th anniversary in 2007. Although bilateral relations have always been and still remain one of the main features of… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”