Sam L. Savage
The Flaw of Averages
Why We Underestimate Risk in the Face of Uncertainty
Illustrator: Danziger, Jeff
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Sam L. Savage
The Flaw of Averages
Why We Underestimate Risk in the Face of Uncertainty
Illustrator: Danziger, Jeff
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A must-read for anyone who makes business decisions that have a major financial impact Tomorrow's stock price, next month's sales, next year's costs these are all numbers we don't know yet. Yet everyday, we base our personal and business plans on these kinds of uncertainties.
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A must-read for anyone who makes business decisions that have a major financial impact Tomorrow's stock price, next month's sales, next year's costs these are all numbers we don't know yet. Yet everyday, we base our personal and business plans on these kinds of uncertainties.
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Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Produktdetails
- Produktdetails
- Verlag: John Wiley & Sons Inc
- Seitenzahl: 416
- Erscheinungstermin: 26. März 2012
- Englisch
- Abmessung: 229mm x 152mm x 23mm
- Gewicht: 506g
- ISBN-13: 9781118073759
- ISBN-10: 1118073754
- Artikelnr.: 34450282
- Herstellerkennzeichnung
- Libri GmbH
- Europaallee 1
- 36244 Bad Hersfeld
- 06621 890
- Verlag: John Wiley & Sons Inc
- Seitenzahl: 416
- Erscheinungstermin: 26. März 2012
- Englisch
- Abmessung: 229mm x 152mm x 23mm
- Gewicht: 506g
- ISBN-13: 9781118073759
- ISBN-10: 1118073754
- Artikelnr.: 34450282
- Herstellerkennzeichnung
- Libri GmbH
- Europaallee 1
- 36244 Bad Hersfeld
- 06621 890
SAM L. SAVAGE is a Consulting Professor of Management Science and Engineering at Stanford University, and a Fellow of the Judge Business School at the University of Cambridge.
Foreword xv
Preface xvii
Acknowledgments xxi
Introduction Connecting the Seat of the Intellect to the Seat of the Pants
1
You cannot learn to ride a bicycle from a book,and I claim the same is true
for coping with uncertainty. Paradoxically, this book attempts to dowhat it
claims is impossible.
Foundations
Part 1 The Big Picture 9
Chapter 1 The Flaw of Averages 11
In planning for the future, uncertain outcomes are often replaced with
single, so-called average numbers. This leads to a class of systematic
errors that I call the Flaw of Averages, which explains among other things
why forecasts are always wrong.
Chapter 2 The Fall of the Algebraic Curtain and Rise of the Flaw of
Averages 22
The electronic spreadsheet brought the power of business modeling to tens
of millions. In so doing, it also paved the way for an epidemic of the Flaw
of Averages.
Chapter 3 Mitigating the Flaw of Averages 26
New technologies are illuminating uncertainty much as the lightbulb
illuminates darkness. Probability Management is a scientific approach to
harnessing these developments to cure the Flaw of Averages.
Chapter 4 The Wright Brothers Versus the Wrong Brothers 34
The success of the Wright Brothers' airplane was the result of carefully
constructed models that they tested in their wind tunnel. Analogous models
ca help us manage uncertainty and risk, but as we saw in the financial
crash of 2008, models can also be used to obfuscate.
Chapter 5 The Most Important Instrument in the Cockpit 40
The proper use of models, like the instruments in an airplane, is not
obvious.
Part 2 Five Basic Mindles for Uncertainty 45
Chapter 6 Mindles are to Minds What Handles are to Hands 49
Just as industrial designers develop handles to help us grasp the power of
physics with our hands, informational designers develop Mindles (first
syllable rhymes with "mind") to help us grasp the power of information with
our minds. Section 2will provide some important Mindles for grasping
uncertainty.
Chapter 7 Mindle 1: Uncertainty Versus Risk 52
These two concepts are often used interchangeably but they shouldn't be.
Uncertainty is an objective feature of the universe, whereas risk is in the
eye of the beholder.
Chapter 8 Mindle 2: An Uncertain Number Is a Shape 55
Even graduates of statistics courses have a hard time visualizing
uncertainty. A shape in the form of a simple bar graph, called the
histogram, does the trick. Try running a simulation in your head or better
yet, on your web browser at FlawOfAverages.com.
Chapter 9 Mindle 3: Combinations of Uncertain Numbers 67
When uncertain numbers are added or averaged, the chance of extreme events
goes down. I cover a case study in the film industry.
Chapter 10 I Come to Bury Sigma, Not to Praise it 78
Just as the height and weight of a criminal suspect have been superseded by
surveillance videos and DNA samples, sigma is pushing obsolescence.
Chapter 11 Mindle 4: Terri Dial and the Drunk in the Road 83
A banking executive discovers the Strong Form of the Flaw of Averages:
Average inputs don't always result in average outputs. Designing an
incentive plan around your average employee is systematically erroneous.
Chapter 12 Who Was Jensen and Why Wasn't He Equal? 91
The Nuts and Bolts of the Strong Form of the Flaw of Averages
This chapter shows how to identify the Flaw of Averages before it occurs by
understanding your options and restrictions.
Chapter 13 Mindle 5: Interrelated Uncertainties 98
Interrelated uncertainties are at the heart of modern portfolio theory.
They are best understood in terms of scatter plots.
Part 3 Decisions and Information 109
Chapter 14 Decision Trees 111
Decision trees are a powerful Mindle for thinking through decisions in the
face of uncertainty.
Chapter 15 The Value of Information Because There Isn't Anything Else 118
The flip side of decision trees. Information is the complement of
uncertainty. What is it worth to find things out?
Part 4 The Seven Deadly Sins of Averaging 127
Chapter 16 The Seven Deadly Sins of Averaging 129
So here are the Seven Deadly Sins, all eleven of them. And the twelfth
deadly sin is believing we won't discover even more tomorrow.
Chapter 17 The Flaw of Extremes 133
Viewing uncertainties solely in terms of nonaverage outcomes also leads to
devastatingly wrong answers and policy decisions.
Chapter 18 Simpson's Paradox 139
Imagine a weight loss treatment that makes people lose weight on average,
unless they are either male or female, in which case it makes them gain
weight on average.
Chapter 19 The Scholtes Revenue Fallacy 142
Suppose you have various product lines with different unit sales. The
average unit sales times the average profit per unit might be positive
while your average profit might be negative.
Chapter 20 Taking Credit for Chance Occurrences 147
If you execute a marketing campaign and make a bunch of sales, how do you
know the increase wasn't just by chance?
Applications
Part 5 The Flaw of Averages in Finance 155
Chapter 21 Your Retirement Portfolio 157
If your retirement fund will last you 20 years given average returns, then
you are as likely as not to suffer financial ruin before you get there.
Chapter 22 The Birth of Portfolio Theory: The Age of Covariance 163
Harry Markowitz started a revolution in finance in the early 1950s by
explicitly recognizing risk/return trade-offs.
Chapter 23 When Harry Met Bill(y) 169
Bill Sharpe extended the work of Markowitz and brought it into widespread
practice.
Chapter 24 Mindles for the Financial Planning Client 175
How the pros explain this stuff to their clients.
Chapter 25 Options: Profiting from Uncertainty 181
Options allow us to exploit uncertainty through an understanding of the
Strong Form of the Flaw of Averages.
Chapter 26 When Fischer and Myron Met Bob: Option Theory 192
The theory of three economists led to the trillion-dollar derivatives
industry.
Chapter 27 Prices, Probabilities, and Predictions 200
The new phenomenon of prediction markets is changing the way we perceive
and report uncertain events, such as political races.
Part 6 Real Finance 213
Chapter 28 Holistic Versus Hole-istic 215
When people invest in portfolios of oil exploration sites, they often use
the hole-istic approach. That is, they rank the places to drill hole by
hole, then start at the top and go down the list until they run out of
money. This ignores the holistic effects of portfolios.
Chapter 29 Real Portfolios at Shell 222
For several years, Shell has been using Probability Management to manage
its portfolios of petroleum exploration sites in a more holistic manner.
Chapter 30 Real Options 228
An example of a real option is a gas well in which you have the choice of
whether or not to pump depending on the price of gas.
Chapter 31 Some Gratuitous Inflammatory Remarks on the Accounting Industry
236
You can't rely on accountants to detect risks because generally accepted
accounting principles are built on the Flaw of Averages.
Part 7 The Flaw of Averages in Supply Chains 245
Chapter 32 The DNA of Supply Chains 247
The inventory problem introduced in Chapter 1 is at the heart of all supply
chains.
Chapter 33 A Supply Chain of DNA 254
When stocking out is not an option.
Chapter 34 Cawlfield's Principle 257
A manager at Olin creates a simulation to get two divisions of his
organization to work as a team and discovers a general principle in the
process.
Part 8 The Flaw of Averages and Some Hot Button Issues 263
Chapter 35 The Statistical Research Group of World War II 265
The exciting environment in which my father became a statistician.
Chapter 36 Probability and the War on Terror 272
Two inescapable statistical trademarks of the war on terror are the problem
of false positives and implications of Markov chains.
Chapter 37 The Flaw of Averages and Climate Change 289
The earth's average temperature may actually be going down, not up, but you
won't be happy when you find out why. The Flaw of Averages permeates this
issue.
Chapter 38 The Flaw of Averages in Health Care 299
Treating the average patient is not healthy.
Chapter 39 Sex and the Central Limit Theorem 307
Women have a diversified portfolio of two X chromosomes, whereas men have
only one. Apparently it makes a difference.
Probability Management
Part 9 Toward a Cure for the Flaw of Averages 317
Chapter 40 The End of Statistics as You Were Taught It 319
The ninetheenth-century statisticians confirmed their theories by
simulating uncertainty with dice, cards, and numbered balls. Today,
computerized dice, cards, and balls are bypassing the very theories they
were trying to confirm.
Chapter 41 Visualization 324
Visual statistics provides a window into distributions. You need to see it
to appreciate it.
Chapter 42 Interactive Simulation: A New Lightbulb 328
Imagine simulating 100,000 rolls of a die before your finger leaves the
Enter key. A new technology does for probability distributions what the
spreadsheet did for numbers.
Chapter 43 Scenario Libraries: The Power Grid 332
New data structures allow the results of simulations to be added together
like numbers, providing a more practical approach to enterprisewide risk
models.
Chapter 44 The Fundamental Identity of SLURP Algebra 341
This looks like math. Feel free to skip it.
Chapter 45 Putting It into Practice 343
The technology surrounding Probability Management is improving fast, and
recent breakthroughs promises to make it more accessible than ever.
Chapter 46 The CPO: Managing Probability Management 354
The CPO must strike the correct balance between transparency of
presentation, data collection, and statistical rigor.
Chapter 47 A Posthumous Visit by My Father 364
Some comments from the hereafter.
Red Word Glossary 367
Notes 371
About the Author 382
Index 383
Preface xvii
Acknowledgments xxi
Introduction Connecting the Seat of the Intellect to the Seat of the Pants
1
You cannot learn to ride a bicycle from a book,and I claim the same is true
for coping with uncertainty. Paradoxically, this book attempts to dowhat it
claims is impossible.
Foundations
Part 1 The Big Picture 9
Chapter 1 The Flaw of Averages 11
In planning for the future, uncertain outcomes are often replaced with
single, so-called average numbers. This leads to a class of systematic
errors that I call the Flaw of Averages, which explains among other things
why forecasts are always wrong.
Chapter 2 The Fall of the Algebraic Curtain and Rise of the Flaw of
Averages 22
The electronic spreadsheet brought the power of business modeling to tens
of millions. In so doing, it also paved the way for an epidemic of the Flaw
of Averages.
Chapter 3 Mitigating the Flaw of Averages 26
New technologies are illuminating uncertainty much as the lightbulb
illuminates darkness. Probability Management is a scientific approach to
harnessing these developments to cure the Flaw of Averages.
Chapter 4 The Wright Brothers Versus the Wrong Brothers 34
The success of the Wright Brothers' airplane was the result of carefully
constructed models that they tested in their wind tunnel. Analogous models
ca help us manage uncertainty and risk, but as we saw in the financial
crash of 2008, models can also be used to obfuscate.
Chapter 5 The Most Important Instrument in the Cockpit 40
The proper use of models, like the instruments in an airplane, is not
obvious.
Part 2 Five Basic Mindles for Uncertainty 45
Chapter 6 Mindles are to Minds What Handles are to Hands 49
Just as industrial designers develop handles to help us grasp the power of
physics with our hands, informational designers develop Mindles (first
syllable rhymes with "mind") to help us grasp the power of information with
our minds. Section 2will provide some important Mindles for grasping
uncertainty.
Chapter 7 Mindle 1: Uncertainty Versus Risk 52
These two concepts are often used interchangeably but they shouldn't be.
Uncertainty is an objective feature of the universe, whereas risk is in the
eye of the beholder.
Chapter 8 Mindle 2: An Uncertain Number Is a Shape 55
Even graduates of statistics courses have a hard time visualizing
uncertainty. A shape in the form of a simple bar graph, called the
histogram, does the trick. Try running a simulation in your head or better
yet, on your web browser at FlawOfAverages.com.
Chapter 9 Mindle 3: Combinations of Uncertain Numbers 67
When uncertain numbers are added or averaged, the chance of extreme events
goes down. I cover a case study in the film industry.
Chapter 10 I Come to Bury Sigma, Not to Praise it 78
Just as the height and weight of a criminal suspect have been superseded by
surveillance videos and DNA samples, sigma is pushing obsolescence.
Chapter 11 Mindle 4: Terri Dial and the Drunk in the Road 83
A banking executive discovers the Strong Form of the Flaw of Averages:
Average inputs don't always result in average outputs. Designing an
incentive plan around your average employee is systematically erroneous.
Chapter 12 Who Was Jensen and Why Wasn't He Equal? 91
The Nuts and Bolts of the Strong Form of the Flaw of Averages
This chapter shows how to identify the Flaw of Averages before it occurs by
understanding your options and restrictions.
Chapter 13 Mindle 5: Interrelated Uncertainties 98
Interrelated uncertainties are at the heart of modern portfolio theory.
They are best understood in terms of scatter plots.
Part 3 Decisions and Information 109
Chapter 14 Decision Trees 111
Decision trees are a powerful Mindle for thinking through decisions in the
face of uncertainty.
Chapter 15 The Value of Information Because There Isn't Anything Else 118
The flip side of decision trees. Information is the complement of
uncertainty. What is it worth to find things out?
Part 4 The Seven Deadly Sins of Averaging 127
Chapter 16 The Seven Deadly Sins of Averaging 129
So here are the Seven Deadly Sins, all eleven of them. And the twelfth
deadly sin is believing we won't discover even more tomorrow.
Chapter 17 The Flaw of Extremes 133
Viewing uncertainties solely in terms of nonaverage outcomes also leads to
devastatingly wrong answers and policy decisions.
Chapter 18 Simpson's Paradox 139
Imagine a weight loss treatment that makes people lose weight on average,
unless they are either male or female, in which case it makes them gain
weight on average.
Chapter 19 The Scholtes Revenue Fallacy 142
Suppose you have various product lines with different unit sales. The
average unit sales times the average profit per unit might be positive
while your average profit might be negative.
Chapter 20 Taking Credit for Chance Occurrences 147
If you execute a marketing campaign and make a bunch of sales, how do you
know the increase wasn't just by chance?
Applications
Part 5 The Flaw of Averages in Finance 155
Chapter 21 Your Retirement Portfolio 157
If your retirement fund will last you 20 years given average returns, then
you are as likely as not to suffer financial ruin before you get there.
Chapter 22 The Birth of Portfolio Theory: The Age of Covariance 163
Harry Markowitz started a revolution in finance in the early 1950s by
explicitly recognizing risk/return trade-offs.
Chapter 23 When Harry Met Bill(y) 169
Bill Sharpe extended the work of Markowitz and brought it into widespread
practice.
Chapter 24 Mindles for the Financial Planning Client 175
How the pros explain this stuff to their clients.
Chapter 25 Options: Profiting from Uncertainty 181
Options allow us to exploit uncertainty through an understanding of the
Strong Form of the Flaw of Averages.
Chapter 26 When Fischer and Myron Met Bob: Option Theory 192
The theory of three economists led to the trillion-dollar derivatives
industry.
Chapter 27 Prices, Probabilities, and Predictions 200
The new phenomenon of prediction markets is changing the way we perceive
and report uncertain events, such as political races.
Part 6 Real Finance 213
Chapter 28 Holistic Versus Hole-istic 215
When people invest in portfolios of oil exploration sites, they often use
the hole-istic approach. That is, they rank the places to drill hole by
hole, then start at the top and go down the list until they run out of
money. This ignores the holistic effects of portfolios.
Chapter 29 Real Portfolios at Shell 222
For several years, Shell has been using Probability Management to manage
its portfolios of petroleum exploration sites in a more holistic manner.
Chapter 30 Real Options 228
An example of a real option is a gas well in which you have the choice of
whether or not to pump depending on the price of gas.
Chapter 31 Some Gratuitous Inflammatory Remarks on the Accounting Industry
236
You can't rely on accountants to detect risks because generally accepted
accounting principles are built on the Flaw of Averages.
Part 7 The Flaw of Averages in Supply Chains 245
Chapter 32 The DNA of Supply Chains 247
The inventory problem introduced in Chapter 1 is at the heart of all supply
chains.
Chapter 33 A Supply Chain of DNA 254
When stocking out is not an option.
Chapter 34 Cawlfield's Principle 257
A manager at Olin creates a simulation to get two divisions of his
organization to work as a team and discovers a general principle in the
process.
Part 8 The Flaw of Averages and Some Hot Button Issues 263
Chapter 35 The Statistical Research Group of World War II 265
The exciting environment in which my father became a statistician.
Chapter 36 Probability and the War on Terror 272
Two inescapable statistical trademarks of the war on terror are the problem
of false positives and implications of Markov chains.
Chapter 37 The Flaw of Averages and Climate Change 289
The earth's average temperature may actually be going down, not up, but you
won't be happy when you find out why. The Flaw of Averages permeates this
issue.
Chapter 38 The Flaw of Averages in Health Care 299
Treating the average patient is not healthy.
Chapter 39 Sex and the Central Limit Theorem 307
Women have a diversified portfolio of two X chromosomes, whereas men have
only one. Apparently it makes a difference.
Probability Management
Part 9 Toward a Cure for the Flaw of Averages 317
Chapter 40 The End of Statistics as You Were Taught It 319
The ninetheenth-century statisticians confirmed their theories by
simulating uncertainty with dice, cards, and numbered balls. Today,
computerized dice, cards, and balls are bypassing the very theories they
were trying to confirm.
Chapter 41 Visualization 324
Visual statistics provides a window into distributions. You need to see it
to appreciate it.
Chapter 42 Interactive Simulation: A New Lightbulb 328
Imagine simulating 100,000 rolls of a die before your finger leaves the
Enter key. A new technology does for probability distributions what the
spreadsheet did for numbers.
Chapter 43 Scenario Libraries: The Power Grid 332
New data structures allow the results of simulations to be added together
like numbers, providing a more practical approach to enterprisewide risk
models.
Chapter 44 The Fundamental Identity of SLURP Algebra 341
This looks like math. Feel free to skip it.
Chapter 45 Putting It into Practice 343
The technology surrounding Probability Management is improving fast, and
recent breakthroughs promises to make it more accessible than ever.
Chapter 46 The CPO: Managing Probability Management 354
The CPO must strike the correct balance between transparency of
presentation, data collection, and statistical rigor.
Chapter 47 A Posthumous Visit by My Father 364
Some comments from the hereafter.
Red Word Glossary 367
Notes 371
About the Author 382
Index 383
Foreword xv
Preface xvii
Acknowledgments xxi
Introduction Connecting the Seat of the Intellect to the Seat of the Pants
1
You cannot learn to ride a bicycle from a book,and I claim the same is true
for coping with uncertainty. Paradoxically, this book attempts to dowhat it
claims is impossible.
Foundations
Part 1 The Big Picture 9
Chapter 1 The Flaw of Averages 11
In planning for the future, uncertain outcomes are often replaced with
single, so-called average numbers. This leads to a class of systematic
errors that I call the Flaw of Averages, which explains among other things
why forecasts are always wrong.
Chapter 2 The Fall of the Algebraic Curtain and Rise of the Flaw of
Averages 22
The electronic spreadsheet brought the power of business modeling to tens
of millions. In so doing, it also paved the way for an epidemic of the Flaw
of Averages.
Chapter 3 Mitigating the Flaw of Averages 26
New technologies are illuminating uncertainty much as the lightbulb
illuminates darkness. Probability Management is a scientific approach to
harnessing these developments to cure the Flaw of Averages.
Chapter 4 The Wright Brothers Versus the Wrong Brothers 34
The success of the Wright Brothers' airplane was the result of carefully
constructed models that they tested in their wind tunnel. Analogous models
ca help us manage uncertainty and risk, but as we saw in the financial
crash of 2008, models can also be used to obfuscate.
Chapter 5 The Most Important Instrument in the Cockpit 40
The proper use of models, like the instruments in an airplane, is not
obvious.
Part 2 Five Basic Mindles for Uncertainty 45
Chapter 6 Mindles are to Minds What Handles are to Hands 49
Just as industrial designers develop handles to help us grasp the power of
physics with our hands, informational designers develop Mindles (first
syllable rhymes with "mind") to help us grasp the power of information with
our minds. Section 2will provide some important Mindles for grasping
uncertainty.
Chapter 7 Mindle 1: Uncertainty Versus Risk 52
These two concepts are often used interchangeably but they shouldn't be.
Uncertainty is an objective feature of the universe, whereas risk is in the
eye of the beholder.
Chapter 8 Mindle 2: An Uncertain Number Is a Shape 55
Even graduates of statistics courses have a hard time visualizing
uncertainty. A shape in the form of a simple bar graph, called the
histogram, does the trick. Try running a simulation in your head or better
yet, on your web browser at FlawOfAverages.com.
Chapter 9 Mindle 3: Combinations of Uncertain Numbers 67
When uncertain numbers are added or averaged, the chance of extreme events
goes down. I cover a case study in the film industry.
Chapter 10 I Come to Bury Sigma, Not to Praise it 78
Just as the height and weight of a criminal suspect have been superseded by
surveillance videos and DNA samples, sigma is pushing obsolescence.
Chapter 11 Mindle 4: Terri Dial and the Drunk in the Road 83
A banking executive discovers the Strong Form of the Flaw of Averages:
Average inputs don't always result in average outputs. Designing an
incentive plan around your average employee is systematically erroneous.
Chapter 12 Who Was Jensen and Why Wasn't He Equal? 91
The Nuts and Bolts of the Strong Form of the Flaw of Averages
This chapter shows how to identify the Flaw of Averages before it occurs by
understanding your options and restrictions.
Chapter 13 Mindle 5: Interrelated Uncertainties 98
Interrelated uncertainties are at the heart of modern portfolio theory.
They are best understood in terms of scatter plots.
Part 3 Decisions and Information 109
Chapter 14 Decision Trees 111
Decision trees are a powerful Mindle for thinking through decisions in the
face of uncertainty.
Chapter 15 The Value of Information Because There Isn't Anything Else 118
The flip side of decision trees. Information is the complement of
uncertainty. What is it worth to find things out?
Part 4 The Seven Deadly Sins of Averaging 127
Chapter 16 The Seven Deadly Sins of Averaging 129
So here are the Seven Deadly Sins, all eleven of them. And the twelfth
deadly sin is believing we won't discover even more tomorrow.
Chapter 17 The Flaw of Extremes 133
Viewing uncertainties solely in terms of nonaverage outcomes also leads to
devastatingly wrong answers and policy decisions.
Chapter 18 Simpson's Paradox 139
Imagine a weight loss treatment that makes people lose weight on average,
unless they are either male or female, in which case it makes them gain
weight on average.
Chapter 19 The Scholtes Revenue Fallacy 142
Suppose you have various product lines with different unit sales. The
average unit sales times the average profit per unit might be positive
while your average profit might be negative.
Chapter 20 Taking Credit for Chance Occurrences 147
If you execute a marketing campaign and make a bunch of sales, how do you
know the increase wasn't just by chance?
Applications
Part 5 The Flaw of Averages in Finance 155
Chapter 21 Your Retirement Portfolio 157
If your retirement fund will last you 20 years given average returns, then
you are as likely as not to suffer financial ruin before you get there.
Chapter 22 The Birth of Portfolio Theory: The Age of Covariance 163
Harry Markowitz started a revolution in finance in the early 1950s by
explicitly recognizing risk/return trade-offs.
Chapter 23 When Harry Met Bill(y) 169
Bill Sharpe extended the work of Markowitz and brought it into widespread
practice.
Chapter 24 Mindles for the Financial Planning Client 175
How the pros explain this stuff to their clients.
Chapter 25 Options: Profiting from Uncertainty 181
Options allow us to exploit uncertainty through an understanding of the
Strong Form of the Flaw of Averages.
Chapter 26 When Fischer and Myron Met Bob: Option Theory 192
The theory of three economists led to the trillion-dollar derivatives
industry.
Chapter 27 Prices, Probabilities, and Predictions 200
The new phenomenon of prediction markets is changing the way we perceive
and report uncertain events, such as political races.
Part 6 Real Finance 213
Chapter 28 Holistic Versus Hole-istic 215
When people invest in portfolios of oil exploration sites, they often use
the hole-istic approach. That is, they rank the places to drill hole by
hole, then start at the top and go down the list until they run out of
money. This ignores the holistic effects of portfolios.
Chapter 29 Real Portfolios at Shell 222
For several years, Shell has been using Probability Management to manage
its portfolios of petroleum exploration sites in a more holistic manner.
Chapter 30 Real Options 228
An example of a real option is a gas well in which you have the choice of
whether or not to pump depending on the price of gas.
Chapter 31 Some Gratuitous Inflammatory Remarks on the Accounting Industry
236
You can't rely on accountants to detect risks because generally accepted
accounting principles are built on the Flaw of Averages.
Part 7 The Flaw of Averages in Supply Chains 245
Chapter 32 The DNA of Supply Chains 247
The inventory problem introduced in Chapter 1 is at the heart of all supply
chains.
Chapter 33 A Supply Chain of DNA 254
When stocking out is not an option.
Chapter 34 Cawlfield's Principle 257
A manager at Olin creates a simulation to get two divisions of his
organization to work as a team and discovers a general principle in the
process.
Part 8 The Flaw of Averages and Some Hot Button Issues 263
Chapter 35 The Statistical Research Group of World War II 265
The exciting environment in which my father became a statistician.
Chapter 36 Probability and the War on Terror 272
Two inescapable statistical trademarks of the war on terror are the problem
of false positives and implications of Markov chains.
Chapter 37 The Flaw of Averages and Climate Change 289
The earth's average temperature may actually be going down, not up, but you
won't be happy when you find out why. The Flaw of Averages permeates this
issue.
Chapter 38 The Flaw of Averages in Health Care 299
Treating the average patient is not healthy.
Chapter 39 Sex and the Central Limit Theorem 307
Women have a diversified portfolio of two X chromosomes, whereas men have
only one. Apparently it makes a difference.
Probability Management
Part 9 Toward a Cure for the Flaw of Averages 317
Chapter 40 The End of Statistics as You Were Taught It 319
The ninetheenth-century statisticians confirmed their theories by
simulating uncertainty with dice, cards, and numbered balls. Today,
computerized dice, cards, and balls are bypassing the very theories they
were trying to confirm.
Chapter 41 Visualization 324
Visual statistics provides a window into distributions. You need to see it
to appreciate it.
Chapter 42 Interactive Simulation: A New Lightbulb 328
Imagine simulating 100,000 rolls of a die before your finger leaves the
Enter key. A new technology does for probability distributions what the
spreadsheet did for numbers.
Chapter 43 Scenario Libraries: The Power Grid 332
New data structures allow the results of simulations to be added together
like numbers, providing a more practical approach to enterprisewide risk
models.
Chapter 44 The Fundamental Identity of SLURP Algebra 341
This looks like math. Feel free to skip it.
Chapter 45 Putting It into Practice 343
The technology surrounding Probability Management is improving fast, and
recent breakthroughs promises to make it more accessible than ever.
Chapter 46 The CPO: Managing Probability Management 354
The CPO must strike the correct balance between transparency of
presentation, data collection, and statistical rigor.
Chapter 47 A Posthumous Visit by My Father 364
Some comments from the hereafter.
Red Word Glossary 367
Notes 371
About the Author 382
Index 383
Preface xvii
Acknowledgments xxi
Introduction Connecting the Seat of the Intellect to the Seat of the Pants
1
You cannot learn to ride a bicycle from a book,and I claim the same is true
for coping with uncertainty. Paradoxically, this book attempts to dowhat it
claims is impossible.
Foundations
Part 1 The Big Picture 9
Chapter 1 The Flaw of Averages 11
In planning for the future, uncertain outcomes are often replaced with
single, so-called average numbers. This leads to a class of systematic
errors that I call the Flaw of Averages, which explains among other things
why forecasts are always wrong.
Chapter 2 The Fall of the Algebraic Curtain and Rise of the Flaw of
Averages 22
The electronic spreadsheet brought the power of business modeling to tens
of millions. In so doing, it also paved the way for an epidemic of the Flaw
of Averages.
Chapter 3 Mitigating the Flaw of Averages 26
New technologies are illuminating uncertainty much as the lightbulb
illuminates darkness. Probability Management is a scientific approach to
harnessing these developments to cure the Flaw of Averages.
Chapter 4 The Wright Brothers Versus the Wrong Brothers 34
The success of the Wright Brothers' airplane was the result of carefully
constructed models that they tested in their wind tunnel. Analogous models
ca help us manage uncertainty and risk, but as we saw in the financial
crash of 2008, models can also be used to obfuscate.
Chapter 5 The Most Important Instrument in the Cockpit 40
The proper use of models, like the instruments in an airplane, is not
obvious.
Part 2 Five Basic Mindles for Uncertainty 45
Chapter 6 Mindles are to Minds What Handles are to Hands 49
Just as industrial designers develop handles to help us grasp the power of
physics with our hands, informational designers develop Mindles (first
syllable rhymes with "mind") to help us grasp the power of information with
our minds. Section 2will provide some important Mindles for grasping
uncertainty.
Chapter 7 Mindle 1: Uncertainty Versus Risk 52
These two concepts are often used interchangeably but they shouldn't be.
Uncertainty is an objective feature of the universe, whereas risk is in the
eye of the beholder.
Chapter 8 Mindle 2: An Uncertain Number Is a Shape 55
Even graduates of statistics courses have a hard time visualizing
uncertainty. A shape in the form of a simple bar graph, called the
histogram, does the trick. Try running a simulation in your head or better
yet, on your web browser at FlawOfAverages.com.
Chapter 9 Mindle 3: Combinations of Uncertain Numbers 67
When uncertain numbers are added or averaged, the chance of extreme events
goes down. I cover a case study in the film industry.
Chapter 10 I Come to Bury Sigma, Not to Praise it 78
Just as the height and weight of a criminal suspect have been superseded by
surveillance videos and DNA samples, sigma is pushing obsolescence.
Chapter 11 Mindle 4: Terri Dial and the Drunk in the Road 83
A banking executive discovers the Strong Form of the Flaw of Averages:
Average inputs don't always result in average outputs. Designing an
incentive plan around your average employee is systematically erroneous.
Chapter 12 Who Was Jensen and Why Wasn't He Equal? 91
The Nuts and Bolts of the Strong Form of the Flaw of Averages
This chapter shows how to identify the Flaw of Averages before it occurs by
understanding your options and restrictions.
Chapter 13 Mindle 5: Interrelated Uncertainties 98
Interrelated uncertainties are at the heart of modern portfolio theory.
They are best understood in terms of scatter plots.
Part 3 Decisions and Information 109
Chapter 14 Decision Trees 111
Decision trees are a powerful Mindle for thinking through decisions in the
face of uncertainty.
Chapter 15 The Value of Information Because There Isn't Anything Else 118
The flip side of decision trees. Information is the complement of
uncertainty. What is it worth to find things out?
Part 4 The Seven Deadly Sins of Averaging 127
Chapter 16 The Seven Deadly Sins of Averaging 129
So here are the Seven Deadly Sins, all eleven of them. And the twelfth
deadly sin is believing we won't discover even more tomorrow.
Chapter 17 The Flaw of Extremes 133
Viewing uncertainties solely in terms of nonaverage outcomes also leads to
devastatingly wrong answers and policy decisions.
Chapter 18 Simpson's Paradox 139
Imagine a weight loss treatment that makes people lose weight on average,
unless they are either male or female, in which case it makes them gain
weight on average.
Chapter 19 The Scholtes Revenue Fallacy 142
Suppose you have various product lines with different unit sales. The
average unit sales times the average profit per unit might be positive
while your average profit might be negative.
Chapter 20 Taking Credit for Chance Occurrences 147
If you execute a marketing campaign and make a bunch of sales, how do you
know the increase wasn't just by chance?
Applications
Part 5 The Flaw of Averages in Finance 155
Chapter 21 Your Retirement Portfolio 157
If your retirement fund will last you 20 years given average returns, then
you are as likely as not to suffer financial ruin before you get there.
Chapter 22 The Birth of Portfolio Theory: The Age of Covariance 163
Harry Markowitz started a revolution in finance in the early 1950s by
explicitly recognizing risk/return trade-offs.
Chapter 23 When Harry Met Bill(y) 169
Bill Sharpe extended the work of Markowitz and brought it into widespread
practice.
Chapter 24 Mindles for the Financial Planning Client 175
How the pros explain this stuff to their clients.
Chapter 25 Options: Profiting from Uncertainty 181
Options allow us to exploit uncertainty through an understanding of the
Strong Form of the Flaw of Averages.
Chapter 26 When Fischer and Myron Met Bob: Option Theory 192
The theory of three economists led to the trillion-dollar derivatives
industry.
Chapter 27 Prices, Probabilities, and Predictions 200
The new phenomenon of prediction markets is changing the way we perceive
and report uncertain events, such as political races.
Part 6 Real Finance 213
Chapter 28 Holistic Versus Hole-istic 215
When people invest in portfolios of oil exploration sites, they often use
the hole-istic approach. That is, they rank the places to drill hole by
hole, then start at the top and go down the list until they run out of
money. This ignores the holistic effects of portfolios.
Chapter 29 Real Portfolios at Shell 222
For several years, Shell has been using Probability Management to manage
its portfolios of petroleum exploration sites in a more holistic manner.
Chapter 30 Real Options 228
An example of a real option is a gas well in which you have the choice of
whether or not to pump depending on the price of gas.
Chapter 31 Some Gratuitous Inflammatory Remarks on the Accounting Industry
236
You can't rely on accountants to detect risks because generally accepted
accounting principles are built on the Flaw of Averages.
Part 7 The Flaw of Averages in Supply Chains 245
Chapter 32 The DNA of Supply Chains 247
The inventory problem introduced in Chapter 1 is at the heart of all supply
chains.
Chapter 33 A Supply Chain of DNA 254
When stocking out is not an option.
Chapter 34 Cawlfield's Principle 257
A manager at Olin creates a simulation to get two divisions of his
organization to work as a team and discovers a general principle in the
process.
Part 8 The Flaw of Averages and Some Hot Button Issues 263
Chapter 35 The Statistical Research Group of World War II 265
The exciting environment in which my father became a statistician.
Chapter 36 Probability and the War on Terror 272
Two inescapable statistical trademarks of the war on terror are the problem
of false positives and implications of Markov chains.
Chapter 37 The Flaw of Averages and Climate Change 289
The earth's average temperature may actually be going down, not up, but you
won't be happy when you find out why. The Flaw of Averages permeates this
issue.
Chapter 38 The Flaw of Averages in Health Care 299
Treating the average patient is not healthy.
Chapter 39 Sex and the Central Limit Theorem 307
Women have a diversified portfolio of two X chromosomes, whereas men have
only one. Apparently it makes a difference.
Probability Management
Part 9 Toward a Cure for the Flaw of Averages 317
Chapter 40 The End of Statistics as You Were Taught It 319
The ninetheenth-century statisticians confirmed their theories by
simulating uncertainty with dice, cards, and numbered balls. Today,
computerized dice, cards, and balls are bypassing the very theories they
were trying to confirm.
Chapter 41 Visualization 324
Visual statistics provides a window into distributions. You need to see it
to appreciate it.
Chapter 42 Interactive Simulation: A New Lightbulb 328
Imagine simulating 100,000 rolls of a die before your finger leaves the
Enter key. A new technology does for probability distributions what the
spreadsheet did for numbers.
Chapter 43 Scenario Libraries: The Power Grid 332
New data structures allow the results of simulations to be added together
like numbers, providing a more practical approach to enterprisewide risk
models.
Chapter 44 The Fundamental Identity of SLURP Algebra 341
This looks like math. Feel free to skip it.
Chapter 45 Putting It into Practice 343
The technology surrounding Probability Management is improving fast, and
recent breakthroughs promises to make it more accessible than ever.
Chapter 46 The CPO: Managing Probability Management 354
The CPO must strike the correct balance between transparency of
presentation, data collection, and statistical rigor.
Chapter 47 A Posthumous Visit by My Father 364
Some comments from the hereafter.
Red Word Glossary 367
Notes 371
About the Author 382
Index 383