There's a lot of maths in Bayesian analysis - however Phil's explanatory style did help me begin to deal with it :
"If it walks like a duck and quacks like a duck, is it possible it's not a duck? ... and examines this oft-quoted maxim and describes how Bayes’ theorem of conditional probability makes raw data useful for making business decisions.
“If it walks like a duck, and quacks like a duck, then it’s a duck.”This oft quoted maxim is intuitively ‘Correct’ and accurately describes the human reasoning process. Evidence about an object, in this case whether it waddles or quacks, is used to help determine the nature of that object, i.e. whether it’s a duck or not. When the weight of evidence builds up in favour of any single outcome, then a human will deduce that this result is the correct one. “If it walks like a duck, and quacks like a duck, then it’s a duck”.This seems ad hoc, and not analytically sound, but in practice this method works really well to guide our day to day decisions.
After all, when it comes down to it, we’re all in the business of turning raw data into a correct decision for our business.Luckily for us analytical types, there is a Mathematical formalism for this technique: Bayes’ theorem of conditional probability.The probability of an event A occurring is changed if we know something about a related event B
P(A|B) = P(B|A).P(A)/P(B)… and in English - The probability of A, given that B has occurred, is the probability of B, given that A has occurred, times the probability of A, all over the probability of BIf we know that event A normally occurs when event B has already occurred, then knowing something about B may well change your view of A. For complex systems with multiple events A,B,C … etc. being considered, a Bayesian Belief Network is often used to model the likelihood of an outcome. You’ll find Bayes used in a number of high technology areas such as complex risk analysis, data mining, machine data learning, artificial intelligence and language recognition.He then goes on to describing determing the likelihood of a bird being a duck, or not, with the use of a Quackometer & Waddleometer ... By using both types of evidence we’ve improved our success rate and now only 5/100 decisions are wrong.
- P(E) : Probability of serious Earthquake
- P(T) : Probability of serious Tsunami
- P(NE) : Probability of serious Nuclear Event
but if we collectively factor in other key aspects, then we might alter our estimation of the risk of such a serious event occurring :
- P(EqT) : Probability that our understanding of Earthquake risk is inaccurate &/or inadequate
- P(Econ Eng) : Probability of using an Economic Approach to Engineering Design &/or Construction= less robust design
- P (Project Cost Drivers) : Probability of Project Cost Drivers being weighted higher than robust Engineering Design risk aspects
- P(Op Mgmt) : Probability that equipment has not been operated, maintained &/or safety/training done correctly
- P(Eng) : Probability of Engineers incapable of controlling serious Nuclear Event
- P(Rc) : Probability of Risk Changes if initial understanding of design, operational maintenance, safety circumstances has altered or if any of these have actually been altered
So even if we did all of the above analysis and it suggested a serious risk of generating a situation which is unlikely to be tolerable - do we dismiss this as pessimistic engineering reasoning then optimistically run this through the lens of Evidence Based Reasoning - ie which runs as something like :
- GFC - previous erroneous view that economic world consists largely of simple independent transaction markets - New Scientist October 28 2008
- 2004 Tsunami - our understanding of subduction earthquake behaviour is evolving - New Scientist 23 April 2011 p6
- 2011 Christchurch Earthquake - was not previously identified as an earthquake zone - New Scientist 26 Feb 2011 p 4
- 2010 BP Gulf Disaster
- 2010 Toyota Recall Crisis
- 2011 - Queensland Floods - Wivenhoe Dam - Inquiry told that predicted rainfall events not factored into Dam Operations - even in Flood ? No major review of Operations Manual since 1985 ?
- 2009 Victorian Bushfires -Inquiry Report - Planning & Response deficiencies
- September 11 2001
And developing people, communities & organizations to proactively & reactively face complexity with resilience rather than denial ?
Simplifying where it is possible ?
ASQ's Paul Borawski recently challenged us as ASQ Global Influential Voices for Quality to reflect on What is the Future of Quality?
Is this perhaps the future direction for quality management a future ISO 9001:2015 - to be more upfront about more aggressively & openly addressing Risk ?