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Small number statistics : ウィキペディア英語版
Hasty generalization

Hasty generalization is an informal fallacy of faulty generalization by reaching an inductive generalization based on insufficient evidence—essentially making a hasty conclusion without considering all of the variables. In statistics, it may involve basing broad conclusions regarding the statistics of a survey from a small sample group that fails to sufficiently represent an entire population.〔(【引用サイトリンク】 accessdate=2008-10-01 )〕 Its opposite fallacy is called slothful induction, or denying a reasonable conclusion of an inductive argument (e.g. "it was just a coincidence").
==Examples==

Hasty generalization usually shows this pattern
#X is true for A.
#X is true for B.
#X is true for C.
#X is true for D.
#Therefore, X is true for E, F, G, etc.
For example, if a person travels through a town for the first time and sees 10 people, all of them children, he may erroneously conclude that there are no adult residents in the town.
Or: A person is looking at a number line. The number 1 is a square number; 3 is a prime number, 5 is a prime number, and 7 is a prime number; 9 is a square number; 11 is a prime number, and 13 is a prime number. Therefore, the person says, all odd numbers are either prime or square. In reality, 15 is a counterexample.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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