“No scientist is as model minded as is the statistician; in no other branch of science is the word model as often and consciously used as in statistics.”

Source: The Concept and the Role of the Model in Mathematics and Natural and Social Sciences (1961), p. 79; Part of the article "Models in applied probability", published earlier in Synthese, 12 (1960), p. 204-210.

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Hans Freudenthal 27
Dutch mathematician 1905–1990

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“No statistician present at this moment will have been in doubt about the meaning of my words when I mentioned the common statistical model. It must be a stochastic device producing random results. Tossing coins or a dice or playing at cards are not flexible enough. The most general chance instrument is the urn filled with balls of different colours or with tickets bearing some ciphers or letters. This model is continuously used in our courses as a didactic tool, and in our statistical analyses as a means of translating realistic problems into mathematical ones. In statistical language " urn model " is a standard expression.”

Hans Freudenthal (1905–1990) Dutch mathematician

Source: The Concept and the Role of the Model in Mathematics and Natural and Social Sciences (1961), p. 79; Partly cited in: Norman L. Johnson and Samuel Kotz (1977) Urn Models and Their Application: an. Approach to Modern Discrete Probability Theory http://dis.unal.edu.co/~gjhernandezp/sim/hide/Urn%20Models%20and%20Their%20Application%20-%20An%20approach%20to%20modern%20discrete%20probability%20theory_Norman%20L.Johnson(Wiley%201977%20413s).pdf, John Wiley & Sons.

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“All models are wrong; some models are useful.”

George E. P. Box (1919–2013) British statistician

For instance in George E. P. Box, William Hunter and Stuart Hunter, Statistics for Experimenters, second edition, 2005, page 440. See "All models are wrong".

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