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The foundations of statistics concern the epistemological debate in statistics over how one should conduct inductive inference from data. Among the issues considered in statistical inference are the question of Bayesian inference versus frequentist inference, the distinction between Fisher's "significance testing" and Neyman–Pearson "hypothesis testing", and whether the likelihood principle should be followed. Some of these issues have been debated for up to 200 years without resolution. Leonard J. Savage's widely cited text Foundations of Statistics states:

Attributes	Values
rdfs:label	Foundations of statistics (en)
rdfs:comment	The foundations of statistics concern the epistemological debate in statistics over how one should conduct inductive inference from data. Among the issues considered in statistical inference are the question of Bayesian inference versus frequentist inference, the distinction between Fisher's "significance testing" and Neyman–Pearson "hypothesis testing", and whether the likelihood principle should be followed. Some of these issues have been debated for up to 200 years without resolution. Leonard J. Savage's widely cited text Foundations of Statistics states: (en)
dct:subject	Philosophy of statistics
Wikipage page ID	15515301 (xsd:integer)
Wikipage revision ID	1102183025 (xsd:integer)
Link from a Wikipage to another Wikipage	Bayesian inference Ronald Fisher Bayes' theorem Allan Birnbaum Likelihoodist statistics Sample size determination Correlation does not imply causation Philosophy of statistics Neyman–Pearson lemma Egon Pearson Epistemology George E. P. Box Statistical inference Philosophy of probability Regression model Leonard Jimmie Savage Likelihood function Likelihood principle Statistical model Statistics Student's t-test Bruno de Finetti Ad infinitum Synthese Akaike information criterion All models are wrong Founders of statistics History of statistics Harold Jeffreys Chapman & Hall Jerzy Neyman Philosophy of mathematics Fiducial inference Frequentist inference Inductive reasoning Principle of indifference Modus tollens Confidence intervals Statistical hypothesis testing The American Statistician Evidence Probability interpretations Philosophy of science Philosophy of statistics Statistical Science Robert P. Abelson Stein's paradox Leonard J. Savage Inductive inference Journal of the Royal Statistical Society, Series B Journal of the Royal Statistical Society, Series D Ronald A Fisher
Link from a Wikipage to an external page	http://disc-nt.cba.uh.edu/chin/ais/ http://ftp.isds.duke.edu/WorkingPapers/03-26.pdf http://imyy.net/research/BSTT566__Slides.pdf https://archive.org/details/in.ernet.dli.2015.502684 https://archive.org/details/statisticalevide0000roya https://lirias.kuleuven.be/handle/123456789/136347 http://www.cimat.mx/reportes/enlinea/D-99-10.html http://www.phil.vt.edu/dmayo/PhilStatistics/Triad/Fisher%201955.pdf http://www.repository.utl.pt/bitstream/10400.5/2327/1/wp022008.pdf http://www.stat.cmu.edu/~kass/papers/about-bayes-rule.pdf https://web.archive.org/web/20100714010741/http:/mathdl.maa.org/images/upload_library/22/Ford/BradleyEfron.pdf https://web.archive.org/web/20110720084624/http:/disc-nt.cba.uh.edu/chin/ais/ https://web.archive.org/web/20130904000350/http:/ftp.isds.duke.edu/WorkingPapers/03-26.pdf http://plato.stanford.edu/entries/probability-interpret/ http://plato.stanford.edu/entries/statistics/ http://mathdl.maa.org/images/upload_library/22/Ford/BradleyEfron.pdf http://eprints.soton.ac.uk/33104/1/0111.pdf
sameAs	Foundations of statistics Foundations of statistics Foundations of statistics
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has abstract	The foundations of statistics concern the epistemological debate in statistics over how one should conduct inductive inference from data. Among the issues considered in statistical inference are the question of Bayesian inference versus frequentist inference, the distinction between Fisher's "significance testing" and Neyman–Pearson "hypothesis testing", and whether the likelihood principle should be followed. Some of these issues have been debated for up to 200 years without resolution. Bandyopadhyay & Forster describe four statistical paradigms: "(i) classical statistics or error statistics, (ii) Bayesian statistics, (iii) likelihood-based statistics, and (iv) the Akaikean-Information Criterion-based statistics". Leonard J. Savage's widely cited text Foundations of Statistics states: It is unanimously agreed that statistics depends somehow on probability. But, as to what probability is and how it is connected with statistics, there has seldom been such complete disagreement and breakdown of communication since the Tower of Babel. Doubtless, much of the disagreement is merely terminological and would disappear under sufficiently sharp analysis. (en)
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foaf:isPrimaryTopicOf	wikipedia-en:Foundations_of_statistics
is Link from a Wikipage to another Wikipage of	David Hand (statistician) Debabrata Basu Richard D. Gill

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