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Intuitions about sample size: the empirical law of large numbers

✍ Scribed by Peter Sedlmeier; Gerd Gigerenzer


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
215 KB
Volume
10
Category
Article
ISSN
0894-3257

No coin nor oath required. For personal study only.

✦ Synopsis


According to Jacob Bernoulli, even the stupidest man' knows that the larger one's sample of observations, the more con®dence one can have in being close to the truth about the phenomenon observed. Two-and-a-half centuries later, psychologists empirically tested people's intuitions about sample size. One group of such studies found participants attentive to sample size; another found participants ignoring it. We suggest an explanation for a substantial part of these inconsistent ®ndings. We propose the hypothesis that human intuition conforms to the empirical law of large numbers' and distinguish between two kinds of tasks Ð one that can be solved by this intuition (frequency distributions) and one for which it is not sucient (sampling distributions). A review of the literature reveals that this distinction can explain a substantial part of the apparently inconsistent results. *