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ANDREA MAIETTA
HOW TO LIE
WITH STATS
AND CHARTS
@andreamaietta
amaietta@widecareservices.com
The truth
Alternative truth
Is truth either black or white?
Shades of grey
Statistics are not bad,
they’re drawn that way
The truth
The model
Different scale
Different precision
Different approaches
Unwilling lies
The truth, the whole truth,
and nothing but the truth
Lie without lying
Lie without lying
(sort of)
What is the truth?
«If you torture data long enough, it will
confess to anything»
Darrell Huff
Thanks to Luca Ruggeri
Average
Which average?
Which average?
Which average?
Normal distribution
Skewed distribution
A little example
One firm, 90 employees, 3 partners
A little example
One firm, 90 employees, 3 partners
Total wages: $ 1,980,000
A little example
One firm, 90 employees, 3 partners
Total wages: $ 1,980,000
Total salaries: $ 330,000
A little example
One firm, 90 employees, 3 partners
Total wages: $ 1,980,000
Total salaries: $ 330,000
Total profits: $ 450,000
A little example
One firm, 90 employees, 3 partners
Total wages: $ 1,980,000
Total salaries: $ 330,000
Total profits: $ 450,000
Average wage: $ 1,980,000 / 90 = $ 22,000
A little example
One firm, 90 employees, 3 partners
Total wages: $ 1,980,000
Total salaries: $ 330,000
Total profits: $ 450,000
Average wage: $ 1,980,000 / 90 = $ 22,000
Average salary: ($ 330,000 + $450,000) / 3
= $ 260,000
Not impressed
Let’s try again
Total wages: $ 1,980,000
Total salaries: $ 330,000
Total profits: $ 450,000
Let’s try again
Total wages: $ 1,980,000
Total salaries: $ 330,000
Total profits: $ 450,000
Bonus: $ 300,000
Profits: $ 150,000
Let’s try again
Total wages: $ 1,980,000
Total salaries: $ 330,000
Total profits: $ 450,000
Bonus: $ 300,000
Profits: $ 150,000
Total salaries: $ 330,000 + $ 300,000
= $ 630,000
Let’s try again
Total wages & salaries:
$ 1,980,000 + $ 630,000 = $ 2,610,000
Let’s try again
Total wages & salaries:
$ 1,980,000 + $ 630,000 = $ 2,610,000
Average: $ 2,610,000 / 93 = $ 28,064
Let’s try again
Total wages & salaries:
$ 1,980,000 + $ 630,000 = $ 2,610,000
Average: $ 2,610,000 / 93 = $ 28,064
Profits: $ 150,000 / 3 = $ 50,000
Let’s try again
Total wages & salaries:
$ 1,980,000 + $ 630,000 = $ 2,610,000
Average: $ 2,610,000 / 93 = $ 28,064
Profits: $ 150,000 / 3 = $ 50,000
Profits: 5,7% of total wages & salary
That’s better
Hiring?
Downplay for tax audit?
Heads or tails?
Heads or tails?
Lie by omission
Lie by omission
Little omissions
Sample size
23% less cavities
9 cats out of 10
90 cats out of 100?
Size matters
The missing link
How about this?
90 cats out of 100
How about this?
90 cats out of 100
in over 1000 experiments
How about this?
90 cats out of 100
in over 1000 experiments
95% confidence interval: 87.3 – 92.7
How about this?
90 cats out of 100
in over 1000 experiments
95% confidence interval: 87.3 – 92.7
p = 0.0001
83% of dentists recommend…
More than 80% recommend…
Wilful misdirection
Alcatraz is more expensive
than the Waldorf-Astoria
It’s safer being in the Navy
Y.M.C.A.
Percentiles
Accidents
Accidents
Use an index!
Spot the difference
Average houses
for average people
Average people
Average family: 3.6 persons
Average people
Average family: 3.6 persons
(count as 4)
Average people
Average family: 3.6 persons
(count as 4)
two bedrooms
Average people (detail)
3 or 4 persons (two bedrooms): 45%
Average people (detail)
3 or 4 persons (two bedrooms): 45%
1 or 2 persons (one bedroom): 35%
Average people (detail)
3 or 4 persons (two bedrooms): 45%
1 or 2 persons (one bedroom): 35%
More than 4 (three bedrooms): 20%
Average people (detail)
3 or 4 persons (two bedrooms): 45%
1 or 2 persons (one bedroom): 35%
More than 4 (three bedrooms): 20%
Won’t buy: 55%
Bad mistake
Deviations
Deviations
What is a difference?
What is a difference?
Charts
Don’t extrapolate
Sub-10sec
World Record 100m Times (Men)
Times change, people change,
hairstyles change
The past is in the past
Bad sales
Omit selection
Truncate the y-axis
Remove labels
Shrink the x-axis
Decreasing sales
Cumulative sales
Global warming
Absolute temperatures
(complete set)
Temperature change
Cherry picking
3D Charts
R&D
Research 55%
R&D
Research 55%
Grant 18%
R&D
Research 55%
Grant 18%
Admin 27%
Does it ring a bell?
Let’s graph it
0%
10%
20%
30%
40%
50%
60%
Admin Grant Research
Turn it into a 3D chart
0%
10%
20%
30%
40%
50%
60%
Admin
Grant
Research
Alter perspective
0%
10%
20%
30%
40%
50%
60%
Change chart type
0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
100%
1
Research Grant Admin
Alter shape
0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
100%
1
Research Grant Admin
Pie charts
Pie chart
Research Grant Admin
A bit of perspective
Research Grant Admin
It works miracles!
Pictocharts
Heights or areas?
Correlation
or causation?
IE users are killers
Pirates cause global warming
Recap
Everybody lies
Number and percentages
sound closer to the truth
We feel deference for
authorities
We trust uniforms
Even when they’re not
(and we know it)
Milgram, 1974
Dangerous combination
Be careful
Constant vigilance!
“the only thing that anybody
with brains should be doing with
their life”
Q&A
Readings
How to lie with statistics
Truth, lies and statistics
Graphs don’t lie
ANDREA MAIETTA
HOW TO LIE
WITH STATS
AND CHARTS
@andreamaietta
amaietta@widecareservices.com

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