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Why People are Not Like Marbles in an Urn: An Effect of Context on Statistical Reasoning
Author(s) -
SCHWARTZ DANIEL L.,
GOLDMAN SUSAN R.
Publication year - 1996
Publication title -
applied cognitive psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 100
eISSN - 1099-0720
pISSN - 0888-4080
DOI - 10.1002/(sici)1099-0720(199611)10:7<99::aid-acp441>3.0.co;2-4
Subject(s) - context (archaeology) , psychology , sample (material) , context effect , deductive reasoning , population , computer science , artificial intelligence , mathematics , sociology , geography , demography , chemistry , geometry , chromatography , word (group theory) , archaeology
A large body of research has examined the effect of contextual knowledge on deductive reasoning. Relatively little work, however, has examined context effects on statistical reasoning. In this paper, we document that in a context such as drawing marbles from an urn, children correctly think of sampling as a way to measure the distribution of marbles. However, in other contexts, such as taking a survey of people's opinions, children design samples that have the effect of causing a distribution. For example, they sample members of the population most likely to have positive opinions. We interpret these results by proposing that knowledge of statistics comes in discrete pieces of intuitive understanding whose elicitation is contingent upon the problem context. We describe a model of instruction that acknowledges the effects of context on statistical reasoning. © 1997 John Wiley & Sons, Ltd.