Belief in the law of small numbers.
Вера в закон малых чисел
1971-08-01
SCID: 54.1/upwm359w
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law of small numberspsychological research practicesrandom sampling intuitionsreplication likelihoodrepresentativeness bias
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Abstract (AI)
People have erroneous intuitions about the laws of chance. In particular, they regard a sample randomly drawn from a population as highly representative, that is, similar to the population in all essential characteristics. The prevalence of the belief and its unfortunate consequences for psychological research are illustrated by the responses of professional psychologists to a questionnaire concerning research decisions. Apparently, most psychologists have an ex-aggerated belief in the likelihood of successfully replicating an obtained finding. The sources of such beliefs, and their consequences for the conduct of scientific inquiry, are what this paper is about. Our thesis is that people have strong intuitions about random sampling; that these intuitions are wrong in fundamental respects; that these intuitions are
Key Findings
1
People erroneously believe that small random samples are highly representative of the population (the 'law of small numbers').
2
Professional psychologists commonly exhibit exaggerated belief in the likelihood of successfully replicating obtained findings.
3
The paper identifies and analyzes the sources and consequences of these mistaken beliefs about chance and sampling.
4
These incorrect intuitions about random sampling are widespread and influence research decisions and the conduct of scientific inquiry.
Research Object
People's (especially psychologists') belief in the representativeness of small random samples
Research Subject
The erroneous intuition that small random samples are highly representative of the population and its sources and consequences for research decisions and replicability
Publication Details
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1971-08-01
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