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The Skew is the Cue | Ulrik William Nash | TEDxOdense


imagine you’re at the greengrocers and

there you place a huge bunch of grapes

on the scale and get a nasty surprise

because the numbers shown on the scale

is not what you expect but you you need

the grapes but you would hate to pay too

much and so you think to yourself never

mind but then you notice the greengrocer

look in your direction and he’s looking

too intensely at you you think and to

make make matters worse he’s holding a

large wad of cash in his hand which by

now you’re thinking he’s probably

appropriated from the poor fools who

stood there before you but little does a

green grocer know that you are no fool

you know something about collective

intelligence and now you plan to conjure

up the wisdom of the crowds right there

in the green growth grocery store

because you’ve watched all against one

the block posted Danish gameshow on

based on wisdom of the crowds and you’ve

seen just how easily the average opinion

of ordinary viewers competed with the

particularly bright participants in the

studio so now you long to approach the

greedy green green greedy green grocer

with accurate information and tell me

about the error of his ways and a scale

so you begin to ask your fellow shoppers

what they think about this bunch of

graves so that you can calculate the

average opinion and after many awkward

moments you have your answer

875 grams 25 grams short of the 900

shown on the scale now admittedly this

25 gram deviation is a lot less than you

thought but cheating is cheating you

think and triumphantly you make your way

to the counter the green grocer has been

expecting you which obviously bugs you

bought what really troubles you is what

you instantly see behind his cancer it’s

a large pile of literature on collective

intelligence and it even includes

similar works on the wisdom of crowds

and then the Green Grove spree

I see what you’ve been doing he says but

there’s something that you should know

while your strategy is remarkably

powerful under normal circumstances it

and not my scale is wrong here because

you’re dealing with an item far from our

typical experience and then it begins to

lecture now we have long known that the

average opinion of many people provides

excellent information about the truth

but there’s no reason to believe that

the average opinion errors for reasons

of psychology when the magnitude being

presented is extreme in some way now

what you have to do he almost whispers

is look at the entire distribution of

judgments and not just the central

tendencies in particular you have to

look at the way judgments skew or slant

because that’s information that you can

use to infer when the average opinion is

erroring you could say concludes the

knowledgeable greengrocer that skew is a

cue for our collective error and with

that you can do even better perhaps even

as well as my mechanical scale now the

greengrocer is correct and that’s

important for all the reasons why M good

decisions and good judgments matter in

our lives but let me explain why it’s

correct and turn to the question of

significance as I conclude my talk and

along the way I’ll invoke three things

an old probability machine and two

psychological theories now psychologists

have long established that when we face

the same magnitude many times our

judgments is subject to variation it’s

kind of like when you go home from work

and it did 30 minutes it actually takes

sometimes feels longer and sometimes

feels shorter and the probability

machine I’m invoking does an excellent

job in capturing this phenomenon it was

invented and built by the half cousin of

Charles Darwin Sir Francis Galton

in 1873 their golden coal this machine

the Queen comes but we’ll just call it

the golden board it consists of displays

rows of pins at the top and equally

spaced their compartments at the bottom

that serve the purpose of capturing

balls have dropped into and dropped

through the machine now you may think

about the individual path of

such a ball as a line of thought in the

cognitive process and you may think

about the particular compartment that a

ball ultimately settles into as an

estimate of magnitude in our case an

estimate of weight now along the way

this thought process is disrupted by

random events as captured by bolts at

head pins in the otherwise straight fall

and where exactly this ball will

ultimately end up and we cannot actually

predict for certain but we can say

something about the pattern that emerges

when we drop many balls into the system

one after the other and that pattern you

might know it’s a famous bell curve but

the bell curve is symmetric and skewed

judgment distributions occur much more

frequently than predicted by the golden

board and so we must change it in some

way in order to learn why that is and

the first change that we make to the

golden board is to combine that with

what’s called adaptation level theory

according to which we become used to the

typical magnitudes of our experience and

presume these magnitudes as we then

confront new items in our case we become

used to the typical weight of a bunch of

grapes from our shopping experience in

the setting of the the Queen conquers

are the golden board this implies that

the ball begins its journey and starting

at a magnitude that is typical in our

case let’s assume that’s 500 grams but

of course it’s often important

differences between the particular and

the typical and the second change that

we make to the golden board is to assume

that people will try to account for

these differences and do so according to

what’s called sequential sampling theory

now the basic idea here is that what we

judge has features and these features

contain information and this information

is consistent with one of two hypotheses

that relate to the typical value in our

case heavier than typical or lighter

than typical for example a bunch of

grapes can have particularly plump

fruits which would tends to suggest that

we’re dealing with an item that’s

heavier than typical but that same bunch

of grapes can have particularly sparse

fruits in places which would suggest

suggests

opposite now the these features are now

captured by the rows of pins in the

golden board with the probability of a

ball moving in the same direction as the

evidence provided by the particular

feature capturing the expertise or the

adeptness of the judge at the task for

example a wine producer will be much

more adept at extracting useful

information from a bunch of grapes then

will your typical shoppers so it’s by

combining the gulten board with

adaptation level theory and sequential

sampling theory that we finally reach M

the Augmented Queen Kong’s or the aq for

short and the aq can tell us why skew is

a cue for our collective error the aq

predicts then when the percent in

magnitude is typical than for the people

in the crowd then these people form

their average opinion of these people

will be perfectly aligned with the truth

irrespective of how they use information

moreover the judgment distribution say

together form will be symmetric under

these circumstances the wisdom of the

crowds is almost magic but when the

percent of magnitude is in some way

extreme then how we use information

matters for both collective error and

for skewness in actual fact it’s when we

have some level of expertise that skewed

judgment distributions are predicted to

occur in the first place it’s almost

like a swarm of birds where the majority

head towards one clear direction but a

few laggards trailed behind leaving the

impression of a long tail in the

distribution so for example when the

presented magnitude is smaller than

typical then these swarm not of birds

but of judgments head towards small

values whereas it heads towards large

values when the percent of magnitude is

is larger as in the case of the

greengrocers store and you might think

that well that’s all well and good but

in both cases the average is dragged

down by the tail end of this

distribution in an unfortunate way and

because skewness well and that brings me

to the final most important point of my

talk namely that the deviation between

truth and the average opinion

systematically varies with this

observable skewness and that’s because

it’s observable that we can simply say

that skew is a cue for our collective

error now you might think measuring the

weight of a bunch of grapes is using the

collective minds of shoppers is a simple

and perhaps impractical example but

looking more broadly using modern

information technology we can now hope

to harness the wisdom of crowds much

more efficiently than we have previously

done now that we know that skew is a cue

for error

indeed doctors managers and even

politicians who care about the facts who

do look do well to look at the entire

distribution judgments because they

might just save their patients and them

a higher profit or increase the welfare

of citizens by bringing these important

decision-makers closer to the truth so

it doesn’t matter if you are buying a

bunch of grave so if you’re running a

country if you want to know the truth

then skew is your cue

[Applause] [Music]

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