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Proofiness The
Dark Arts of Mathematical Deception Charles
Seife Penguin
Group, 2010, 295 pp. ISBN 978-0-670-02216-8 |
Seife is a professor of journalism at New York
University and the author of four other books. In this book he shows how numbers are
misused to deceive. "Numbers can be a powerful weapon. In skillful hands, phony data, bogus
statistics, and bad mathematics can make the most fanciful idea, the most
outrageous falsehood seem true. They can
be used bludgeon enemies, to destroy, critics, and to squelch debate."
(3) Proofiness is "the art of using bogus mathematical
arguments to prove something that you know in your heart is true--even when
it's not." (4) Bad math is
undermining our democracy.
"Understand proofiness and you can uncover many truths that had
been obscured by a haze of lies." (5) "If you want to get people to believe
something really, really stupid, just stick a number on it." (7) "No matter how idiotic, how
unbelievable an idea is, numbers can give it credibility." (8) Just listen to the news; you'll hear things
like 'Fifty-eight percent of all the exercise done in America is broadcast on
television.' (MCNBC) Obviously this is nonsense. (8) "Numbers have that power over us, because in
its purest form, a number is truth.
Two plus two is always four."
However, in real life, numbers are rarely in their pure form: they are
always attached to something. "Behind every real world number, there's a measurement. And because measurements are inherently
error-prone … they aren't perfectly reliable.
Even the simple act of counting objects is prone to error…."
(10) "Bad measurements…deceive us
into believing a falsehood--sometimes by design. One red
flag is when a measurement attempts to gauge
something that's ill-defined, intelligence, for example. Sometimes there is no settled-upon way to
measure something reliably, for example, pain or happiness. Whenever there's a big public event, someone has
a vested interest in making up a number that makes the crowd look huge-- like
the "million man march on Washington." (17) The natural history tour guide told patrons the
dinosaur bones were 65 million and 38 years old. 38 years earlier a paleontologist told him
the bones were 65 million years old.
(18) Nice round numbers signal
large measurement errors. If someone
says they paid $20,000 for a car, you might assume it was somewhere between
$19000 and $21000. If they say they
paid $20,112 you assume that's the precise amount. "Disestimation
imbues a number with more precision that it deserves, dressing a measurement
up as absolute fact instead of presenting it as the error-prone estimate that
it really is. It's a subtle form of
proofiness: it makes a number look more truthful than it actually is…."
(23) No one knows which baby will be
the 7th billion person living on earth, even though
several babies will be celebrated as such.
Our normal body temperature of 98.6 degrees Fahrenheit is simply the
conversion of the round number 37 degrees Celsius. (25) Fruit-packing (like supermarkets packing
fruit with the most delectable pieces visible) presents data in a way that
creates a false impression. Cherry-picking is carefully selecting
the data points that support your argument while underplaying or ignoring
data that undermine it. In Al Gore's
film "An Inconvenient Truth," the computer simulations show much of
Florida and Louisiana being submerged, based on the assumption that melting
ice will drive the sea level up by twenty feet. However, this is a worst possible case
scenario. Most scientists
project the oceans will rise two to four feet. George Bush also cherry-picked data in
proving that the No Child Left Behind Act had actually improved test scores.
(28-29) Another trick is comparing apples to oranges.
This can be quite powerful, making the false seem true and true seem
false. This occurs frequently when comparing income and expenses across
years, neglecting the changing value of the dollar over those same
years. For example, government
officials may say that a particular initiative is getting an increase in
funds when the value of the dollar has dropped more than the increase in
funds. Apple polishing is used to put the
finishing touches on data, manipulating them so they appear more favorable
than they actually are. A common
technique is to use a graphical representation that truncates the
"Y" axis, making small differences look large. (See graphs on p. 35-36) Another form is to exploit the term "average." If 1 person in an organization makes $999,991
and the other 9 each make $1, on the average
they each make $100,000. This could be
very deceiving if you were applying for a job! It would be more accurate to use the median. When a politician says that the average tax
break will be $1000, don't count on getting $1000. Our minds are very diligent to look for
patterns. And we can convince
ourselves we see them even when they aren't there. People often draw a straight line through a
random scatter of points on a graph.
Further correlations are
often interpreted as causal relationships where none exist. Virtually anything can be correlated with
almost anything else. But they are
only correlations. Casuistry "is the art of making
a misleading argument through seemingly sound principles … implying that
there is a causal relationship between two things when in fact there isn't
any such linkage." (44) Brain tumors went up as NutraSweet
consumption was going up. But a lot of
other things were on the rise too, such as cable TV, Sony Walkmen,
and Tom Cruise's career. The increase in government spending correlates with
almost everything that increases. A change in diagnostic criteria can look just
like an epidemic. Doctors are much
more likely to diagnose autism than they were twenty years ago. (48) It is often difficult to differentiate the cause from the result. Researchers are prone to say A causes B
when actually B causes A. If bad
health correlates with debt, does the emotional weight of debt cause health
to deteriorate or do people get into debt because of the costs of bad
health? "Casuistry stems from our
need to link every effect to a cause of some sort. Anytime we see two things that are
correlated in some way, our brains leap to the conclusion that one thing must
cause the other. It's often not
so." (53) "If you take any
random collection of data and squint hard enough, you'll see a pattern of
some sort. If you're clever, you can
get other people to see the pattern too." (56) If statistically calculated risks are too high to
bear, organizations ignore them, e.g. NASA.
"Minor changes in wording can easily make a huge risk seem worth
taking or an insignificant risk seem dangerous. As a result, we are vulnerable to
manipulation. … We are prey to risk mismanagement." "In NASA's case, it meant billions of
dollars." "Much of our
economy revolves around risk--risk and money go hand in hand. There are entire industries devoted to
managing and assessing risk… And where
there's money to be made, there's risk mismanagement. If you gaze deeply into the center of the
ongoing financial crisis, you see risk mismanagement staring back at
you. Risk mismanagement is crippling
our economy, and along the way making a small handful of malefactors very,
very wealthy." (72-3)
"If you move money around in clever enough ways, you can
camouflage risks and make an absolute mint. … The Ken Lays and the Bernie
Madoffs of the world are able to make their money by hiding risk and moving
it from place to place, deceiving their investors." (80) You can also take something that's mundane and
exaggerate its risks, making it loom large in the public's imagination. Journalists are particularly fond of this. "The tragedy
of the commons occurs when an individual can take an action that benefits
him, yet the negative consequences of that action are diffused--such as when
they are divided among a large group of people or when they take a long time
to materialize. In situations like
these, people act selfishly, getting as much benefit as they can, but as a
consequence, we're all worse off."
[An example is when people cheat their insurance companies or Medicare.] "When financial gain is divorced from
the risks involved in making that gain, very bad things happen. The subprime mortgage meltdown was a great
example of moral hazard in
action." (87) "All companies that are too big to fail…are
swimming in moral hazard. Once they
know that they won't be allowed to collapse, it's almost guaranteed that they
will fill their own pockets while passing the consequences of their risky
behavior on to the taxpayers." (90)
"Polls are perhaps the leading source of
proofiness in modern society."
"Most of the time…a poll is a factory of authoritative-sounding
nonsense." (92-3)
"A poll frees journalists from having to wait for news to
happen…. Polls allow a news
organization to manufacture its own news.
It's incredibly liberating." (96)
Polls are inherently error-prone.
Random, or statistical, error
occurs because a sample does not accurately represent a whole
population. The smaller the sample the
bigger the error. But there are plenty
of other errors. When polls go
spectacularly wrong it is almost always systematic
error. When polls depend on a
voluntary response, those with strong opinions respond more than others. Systematic errors can be very subtle,
completely invisible. And people
regularly lie to pollsters, making the data almost meaningless. Some people,
including pollsters, try to manipulate the outcome of polls. Wording of survey questions is
crucial. Extremely minor wording
changes (both deliberately and unknowingly) can completely reverse the
outcome of polls. "Internet polls have no basis in reality
whatsoever. Yet CNN.com has an
Internet poll on its front page every day.
It's not for information; it's for titillation." (120) "When it comes to polls, I believe
that the news media as a whole…regularly act with reckless disregard for the
truth." (121) Several chapters deal with election processes,
vote counting, and interpretation.
Chapter 8 deals with propaganda by numbers. But you get the idea. |
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