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The success of ‘success’ in cue search. Tim Rakow University of Essex Ben Newell, Nicola Weston & David Shanks ELSE at University College London. The Take-The-Best Heuristic (TTB). Validity determines the search rule for TTB (Gigerenzer & Goldstein, 1996, 1999)
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The success of ‘success’ in cue search Tim Rakow University of Essex Ben Newell, Nicola Weston & David Shanks ELSE at University College London
The Take-The-Best Heuristic (TTB) • Validitydetermines the search rule for TTB (Gigerenzer & Goldstein, 1996, 1999) • search through cues in descending order of validity • stop search with the first cue that discriminates • choose the object this (single) cue points to • This strategy is surprisingly accurate! • G & G propose that TTB is psychologically plausible
TTB - two potential challenges • Learning? • How easy is it to learn and to access a hierarchy of cue validities? • Efficiency? • Would you always examine a highly valid cue if it hardly ever discriminated?
Using cues for inference • Cue validity- the likelihood of a correct choice given the cue points to one option. • Cue discrimination rate- the likelihood that a cue points to one object • Cue success - the likelihood of a correct choice if only that cue is used (When all possible pairs of objects are considered)
Pros and Cons • A cue with high validity (v) may be ‘unhelpful’ IF its discrimination rate (d) is low • Success(s) reflects both validity and DR: s = d*v + (1 - d)*0.5 Proportion correct from occasions when the cue discriminates Proportion correct from occasions when the cue doesn’t discriminate (and you are forced to guess)
Some experiments In a task environment: • With an objective outcome criterion • Where accuracy is important • But information search has some cost • Which order will best describe people’s search through cues? Descending order of: • Validity (as specified by TTB) • Discrimination Rate (DR) • Success
Experiment 1: Structure (N = 20) 64 learning trials All information free 128 test trials Costs 1p to obtain a pair of cue values Earn 6p for a correct choice Post-test rating ‘Usefulness’ of each cue
Experiment 1: Task environment Set odds for each cue, combine using Bayes Theorem Fix proportion of ‘yes’ values for each cue Follows from validity & DR Outcome on each trial determined (randomly) according to the cue pattern and the programmed odds for each cue
Experiment 1: Competing hypotheses First cue (Acquired most) Last cue (Acquired least)
Experiment 1: Findings • It looks like • Success is driving the search through cues • But • Are people learning different cue dimensions? (validity, DR, success?) • Or, only a single cue weight?
Experiment 2: Structure (N = 24) 64 learning trials First test block: 128 test trials Post-test ratings ‘Usefulness’, validity, DR, success (rank) Validities equal group v = .72 for all 4 cues 2nd test block: 64 trials DR equal group d = .50 for all 4 cues 2nd test block: 64 trials
Any effect of changing the environment? DRs equal group can now focus solely on validity Validities equal group can now focus solely on DR
Experiment 2: Findings • It still looks like • Success is driving the search through cues • Some ability to identify different cue dimensions (DR & validity/success?) • This ability also seen in other experiments (Rakow, Hinvest, Jackson, & Palmer) • Limited adaptation in search in relation to these (partially dissociated) features
Learning & Efficiency • Validity is hard to learn (when DRs vary) • It’s a conditional probability • Can’t simply compare frequencies of correct choices • Need to encode relative frequencies • Search behaviour does reflect both validity and discrimination • Search order better described by success-order than by validity alone or by DR alone
The adaptivity of success-based searchA rational analysis • In a like-for-like comparison of validity-directed search, success-directed search, and DR-directed search, we compared 3 one-reason decision strategies: TTB (Take The Best) STS (Select The Successful) DTD (Draw The Discriminator)
Search through cues by validity is more accurate… Unless, something limits the scope of your search Search by Success Search by Validity
More bangs for your buck with success… …when information search is costly Search by Success Search by Validity
Adaptive Decision Making? • As information costs or information constraints vary: • Which search order is best can change • The optimal length of search will vary • Will people adapt accordingly?
Recent Experiment 100 points for a correct choice 4 cost conditions over 4 testing sessions: Cost per cue: 3 points, 10 points, 17 points, 24 points
Personal reward as a function of personal information costs Reward Cost of information
The stopping rule:The effect of cue cost on information purchase
Conclusions When searching through cues prior to choice, people are: • More likely to search by success than by validity • Somewhat able to dissociate validity and DR • Able to adapt to changes in information costs • But adapt by truncating search rather than by adopting a different pattern of cue search