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On the Bean Machine
By Dr. David Edward Marcinko MBA
http://www.CertifiedMedicalPlanner.org
I’ve taught health economics and finance classes at the under-graduate, MBA and graduate school levels. All students were aware of basic statistics and the ‘”normal distribution curve.” A few were even aware of the term “bean machine”; but I have never known a student who was familiar with the term “Galton Board.”
DEFINTION:
The bean machine, also known as the Galton Board or quincunx, is a device invented by Sir Francis Galtonto demonstrate the central limit theorem, in particular that the normal distribution is approximate to the binomial distribution. Among its applications, it afforded insight into regression to the mean or “regression to mediocrity”.
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Assessment
So, a picture or video is worth a thousand words; as they say.
Link: https://www.youtube.com/watch?v=6YDHBFVIvIs
Conclusion
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Speaker: If you need a moderator or speaker for an upcoming event, Dr. David E. Marcinko; MBA – Publisher-in-Chief of the Medical Executive-Post – is available for seminar or speaking engagements. https://medicalexecutivepost.com/dr-david-marcinkos-bookings/
Contact: MarcinkoAdvisors@msn.com
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Filed under: Risk Management, Touring with Marcinko | Tagged: Bean Machine, bell curve, central limit theory, Galton Board, normal distribution curve |
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Galton Board
Visualize the Order Embedded in the Chaos of Randomness. Great office desk toy for data science, analytics, or statistics professionals / enthusiasts. Named after Sir Francis Galton (1822-1911), it shows various statistical & math concepts, including the Central Limit Theorem.
When the “probability machine” is level & rotated on its axis, 3000 beads travel through rows of pegs, bouncing to the left or to the right with equal probability at each peg. As the beads fall into the bins at the bottom, they accumulate to form a bell-shaped curve, also known as the normal or Gaussian distribution (Carl Friedrich Gauss, 1777-1855). The normal distribution is important in probability theory & used in science to represent random variables.
It shows Pascal’s Triangle (Blaise Pascal, 1623-1662), a triangle of numbers, each representing the number of different paths a bead could travel from the top peg to the numbered peg. It also shows law of large numbers; binomial distribution; regression to the mean; prime numbers; Fibonacci’s sequence.
Igor Korolev, DO PhD
via Ann Miller RN MHA
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