Judgement under Risk + Uncertainty Flashcards
What is a Heuristic?
Rule of Thumb / Mental Shortcut
- Reduces Effort to make Judgements – BUT can lead to Bias
What are the 3 main Heuristics?
Representativeness
Availability
Anchoring + Adjustment
What are the 2 components of the Representativeness Heuristic?
Insensitivity to Prior Probability
Insensitivity to Sample Size
What are the Rules of Probability?
Addition (Disjunction) Rule
Multiplication (Conjunction) Rule
What is the Disjunction Rule?
Addition Rule
Pr(A or B) = Pr(A u B) = P(A) + P(B) - Pr(A n B)
How do you show that A and B are Independent?
Pr(B|A) = Pr(B)
How do you show that A and B are Mutually Exclusive?
Pr(A n B) = 0
What is Pr(not-A)?
1 - Pr(A)
What is Bayes Rule?
Pr(A|B) = [Pr(B|A) x Pr(A)] / Pr(B)
=> [Pr(B|A) x Pr(A)] / [Pr(B|A) x Pr(A) + Pr(B|not-A) x Pr(not-A)]
What is the Representativeness Heuristic?
Probabilities are evaluated to degree that A is Representative + Similar to B
What is Prior Probability?
(Base Rate)
Has no effect on Representativeness - BUT should have Major Effect on Prob.
- Considerations of Base Rate freq. do NOT affect similarity of a description to the stereotypes of Engineer or Lawyer
– If ppl Evaluate Prob. by Repres. –> Prior Prob. will be Neglected
What is Base Rate Neglect?
Failing to consider Base Rate –> Over/Underestimate
Representativeness –> Neglecting important parts of Bayes Rule - e.g. Base Rate - p(Hypothesis)
What is Insensitivity to Sample Size?
Ppl assess Likelihood of Sample Result by Similarity of result to the Population Parameter
- Fail to appreciate Role of Sample Size
Representativeness –> Judged Prob. of Sample Statistic will be Independent of Sample Size
What is the Law of Large Numbers?
Over large no. of Trials - Empirical Prob. of an event will approach its True Prob. (Exp. Value)
- Very large samples from a Prob. Dist. very accurately reflect Prob. in the Distribution
What is the Law of Small Numbers?
Sampling Theory –> Smaller Sample MORE likely to deviate from True Prob.
- Ppl mistakenly apply Law of Large no. to Small Samples
Representativeness –> Misconceptions of Importance of Sample Size
Overgeneralise from Small samples to Dist.