TY - JOUR
T1 - Decision Quality (Always) Increases With the Size of Information Samples-Provided That the Decision Rule Is Statistically Valid
T2 - Comment on Fiedler and Kareev (2006)
AU - Cahan, Sorel
PY - 2010/5
Y1 - 2010/5
N2 - Fiedler and Kareev (2006) showed that small samples can, in principle, outperform large samples in terms of the quality of contingency-based binary choice. The 1st part of this comment critically examines these authors' claim that this small sample advantage (SSA) contradicts Bernoulli's law of large numbers and concludes that this claim is unwarranted. The 2nd part of the comment provides insight into the etiology of the SSA and points to the following as necessary conditions for the SSA's occurrence: (a) the statistical invalidity of the underlying threshold-based decision algorithm and (b) the particular payoff scheme underlying the definition of the decisions' quality. Together, these 2 factors explain how better information provided by larger samples is translated into worse decisions.
AB - Fiedler and Kareev (2006) showed that small samples can, in principle, outperform large samples in terms of the quality of contingency-based binary choice. The 1st part of this comment critically examines these authors' claim that this small sample advantage (SSA) contradicts Bernoulli's law of large numbers and concludes that this claim is unwarranted. The 2nd part of the comment provides insight into the etiology of the SSA and points to the following as necessary conditions for the SSA's occurrence: (a) the statistical invalidity of the underlying threshold-based decision algorithm and (b) the particular payoff scheme underlying the definition of the decisions' quality. Together, these 2 factors explain how better information provided by larger samples is translated into worse decisions.
KW - binary choice
KW - decision quality
KW - estimation
KW - law of large numbers
KW - small-sample advantage
UR - http://www.scopus.com/inward/record.url?scp=77953165569&partnerID=8YFLogxK
U2 - 10.1037/a0019179
DO - 10.1037/a0019179
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C2 - 20438280
AN - SCOPUS:77953165569
SN - 0278-7393
VL - 36
SP - 829
EP - 841
JO - Journal of Experimental Psychology: Learning Memory and Cognition
JF - Journal of Experimental Psychology: Learning Memory and Cognition
IS - 3
ER -