TY - JOUR
T1 - Frequency versus probability formats in statistical word problems
AU - Evans, Jonathan St B.T.
AU - Handley, Simon J.
AU - Perham, Nick
AU - Over, David E.
AU - Thompson, Valerie A.
PY - 2000/9/29
Y1 - 2000/9/29
N2 - Three experiments examined people's ability to incorporate base rate information when judging posterior probabilities. Specifically, we tested the (Cosmides, L., and Tooby, J. (1996). Are humans good intuitive statisticians after all? Rethinking some conclusions from the literature on judgement under uncertainty. Cognition, 58, 1-73) conclusion that people's reasoning appears to follow Bayesian principles when they are presented with information in a frequency format, but not when information is presented as one case probabilities. First, we found that frequency formats were not generally associated with better performance than probability formats unless they were presented in a manner which facilitated construction of a set inclusion mental model. Second, we demonstrated that the use of frequency information may promote biases in the weighting of information. When participants are asked to express their judgements in frequency rather than probability format, they were more likely to produce the base rate as their answer, ignoring diagnostic evidence. Copyright (C) 2000 Elsevier Science B.V.
AB - Three experiments examined people's ability to incorporate base rate information when judging posterior probabilities. Specifically, we tested the (Cosmides, L., and Tooby, J. (1996). Are humans good intuitive statisticians after all? Rethinking some conclusions from the literature on judgement under uncertainty. Cognition, 58, 1-73) conclusion that people's reasoning appears to follow Bayesian principles when they are presented with information in a frequency format, but not when information is presented as one case probabilities. First, we found that frequency formats were not generally associated with better performance than probability formats unless they were presented in a manner which facilitated construction of a set inclusion mental model. Second, we demonstrated that the use of frequency information may promote biases in the weighting of information. When participants are asked to express their judgements in frequency rather than probability format, they were more likely to produce the base rate as their answer, ignoring diagnostic evidence. Copyright (C) 2000 Elsevier Science B.V.
KW - Frequency
KW - Probability
KW - Statistical word problems
UR - http://www.scopus.com/inward/record.url?scp=0034672862&partnerID=8YFLogxK
U2 - 10.1016/S0010-0277(00)00098-6
DO - 10.1016/S0010-0277(00)00098-6
M3 - Article
C2 - 11018509
AN - SCOPUS:0034672862
SN - 0010-0277
VL - 77
SP - 197
EP - 213
JO - Cognition
JF - Cognition
IS - 3
ER -