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Phil Huggins
Private Conference Spring 2008
 Risk
 Uncertainty
 Cardinals versus Ordinals
 Probability Estimation Accuracy
 Suppressing Uncertainty
 Foxes and Hedgehogs
 Uncertainty Calibration
 A state of uncertainty
 Set of possible ?negative? outcomes


 A set of possibilities with quantified
  probabilities and consequences
 Lack of complete certainty
 More than one possibility
 True outcome not known


 A set of probabilities assigned to a set of
  possibilities
 Cardinal -> Size
 Cardinal -> A number or %

 Ordinal -> Position in Set
 Ordinal -> High/Medium/Low or 1/2/3/4/5


 Ordinals often have different meanings
 depending on the person
 An estimate of reality
 The usefulness of an estimate has two
 measures

  Calibration
   ▪ How close to reality is the estimate

  Discrimination
   ▪ The range of the estimate
 We’re the ‘experts’


 Client doesn’t want doubt


 Client pushes the risk of the decision onto
 you

 Hitting targets for risk reduction focuses on
 goals not outcomes
‘The fox knows many things but the
 hedgehog knows one big thing’ – Isiah Berlin

Foxes                        Hedgehogs
• Probability is an ad-hoc   • Probability is a deductive
estimation                   exercise
• Low confidence in their    • Highly confident in their
estimates                    estimates
• Tolerant of uncertainty    • Intolerant of uncertainty
 Foxes are generally better calibrated and
  discriminated
 Less ‘foxy’ foxes are slightly worse at
  discrimination
 Best overall at making short term predictions
  in field of expertise
 Hedgehogs worst overall when making long
  term predictions in field of expertise
 Hedgehogs win less but win big
   90% Confidence Interval (CI)
   ‘You are 90% certain the probability of occurrence is
    between 60% and 50%’
     95% sure below the upper bound
     95% sure above the lower bound

   Ask yourself 20 general knowledge questions asking for
    numerical answers
     Assign lower and upper bounds to your 90% CI of being correct
   Ask yourself 20 true/false questions
     Set a value to how certain you are 50%, 60%, 70%, 80% 90%, 100%
 General Knowledge
   You expected to get 9 out of 10 right (90% CI)
   What did you get?
   You probably got less than that right
 True / False
   Convert % to decimal (50% = 0.5)
   Add them up
   Compare to number of questions you got right
   If number of correct answers was 2.5 or more less
    then you are overconfident
 Take multiple tests in succession
 Equivalence Bets (next slide)
 Pros and Cons
   Consider two pros why you should be confident
   and two cons why you could be wrong
 Avoid Anchoring
   95% certain below upper bound
   95% certain above lower bound
   Two choices:
    1. Win £1000 if answer falls within your upper and lower
       bounds.
    2. Spin a dial split into 90% and 10% slices. You win £1000 if
       it finishes on the 90% slice

   Most people (80%) prefer to spin the dial
   Ask yourself which you would prefer
     Preferring 1 is over confident
     Preferring 2 is under confident
   Just pretending to bet money makes you better
 After 3 tests 70% of people are perfectly
  calibrated
 After 3 tests 20% of people are significantly
  improved
 10% of people never really get it


   Testing has shown that most people relied on
    to make estimates are in the first two groups
    already
Thanks for listening

http://blog.blackswansecurity.com

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Probability Calibration

  • 2.  Risk  Uncertainty  Cardinals versus Ordinals  Probability Estimation Accuracy  Suppressing Uncertainty  Foxes and Hedgehogs  Uncertainty Calibration
  • 3.  A state of uncertainty  Set of possible ?negative? outcomes  A set of possibilities with quantified probabilities and consequences
  • 4.  Lack of complete certainty  More than one possibility  True outcome not known  A set of probabilities assigned to a set of possibilities
  • 5.  Cardinal -> Size  Cardinal -> A number or %  Ordinal -> Position in Set  Ordinal -> High/Medium/Low or 1/2/3/4/5  Ordinals often have different meanings depending on the person
  • 6.  An estimate of reality  The usefulness of an estimate has two measures  Calibration ▪ How close to reality is the estimate  Discrimination ▪ The range of the estimate
  • 7.  We’re the ‘experts’  Client doesn’t want doubt  Client pushes the risk of the decision onto you  Hitting targets for risk reduction focuses on goals not outcomes
  • 8. ‘The fox knows many things but the hedgehog knows one big thing’ – Isiah Berlin Foxes Hedgehogs • Probability is an ad-hoc • Probability is a deductive estimation exercise • Low confidence in their • Highly confident in their estimates estimates • Tolerant of uncertainty • Intolerant of uncertainty
  • 9.  Foxes are generally better calibrated and discriminated  Less ‘foxy’ foxes are slightly worse at discrimination  Best overall at making short term predictions in field of expertise  Hedgehogs worst overall when making long term predictions in field of expertise  Hedgehogs win less but win big
  • 10. 90% Confidence Interval (CI)  ‘You are 90% certain the probability of occurrence is between 60% and 50%’  95% sure below the upper bound  95% sure above the lower bound  Ask yourself 20 general knowledge questions asking for numerical answers  Assign lower and upper bounds to your 90% CI of being correct  Ask yourself 20 true/false questions  Set a value to how certain you are 50%, 60%, 70%, 80% 90%, 100%
  • 11.  General Knowledge  You expected to get 9 out of 10 right (90% CI)  What did you get?  You probably got less than that right  True / False  Convert % to decimal (50% = 0.5)  Add them up  Compare to number of questions you got right  If number of correct answers was 2.5 or more less then you are overconfident
  • 12.  Take multiple tests in succession  Equivalence Bets (next slide)  Pros and Cons  Consider two pros why you should be confident and two cons why you could be wrong  Avoid Anchoring  95% certain below upper bound  95% certain above lower bound
  • 13. Two choices: 1. Win £1000 if answer falls within your upper and lower bounds. 2. Spin a dial split into 90% and 10% slices. You win £1000 if it finishes on the 90% slice  Most people (80%) prefer to spin the dial  Ask yourself which you would prefer  Preferring 1 is over confident  Preferring 2 is under confident  Just pretending to bet money makes you better
  • 14.  After 3 tests 70% of people are perfectly calibrated  After 3 tests 20% of people are significantly improved  10% of people never really get it  Testing has shown that most people relied on to make estimates are in the first two groups already