THE RISKS OF LIFE Video Conference 5 Media & Misinformation.
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Transcript of THE RISKS OF LIFE Video Conference 5 Media & Misinformation.
THE RISKS OF THE RISKS OF LIFELIFEVideo Conference 5
Media & Misinformation
Newspaper HeadlinesNewspaper HeadlinesDaily Mail
“Obesity worse for cancer than smoking”“Is anything safe to eat? Cancer report adds
bacon, ham and drink to danger list”
Guardian“Stay trim and stop eating bacon, cancer report
declares”
The Sun“Bacon butty cancer risk”
“Careless pork costs lives”“Shock Cancer Alert. Save Our Bacon. Storm
as Butties Branded Killers!”
Butties Branded Killers!Butties Branded Killers!
OCTOBER 2007
The reason behind the The reason behind the headlinesheadlines
World Cancer Research Fund (WCRF) issued a report on the
influences of nutrition and physical activity on Cancer.
They gave 10 recommendations for Cancer prevention
WCRF Recommendation WCRF Recommendation
“Avoid processed meats such as bacon, ham, salami, corned beef
and some sausages”
The EvidenceThe EvidenceThe “Convincing Evidence” states
that there is a 20% increased risk of bowel cancer per 50g
of daily processed meat
What is this really saying?What is this really saying?
Report20% increased risk of bowel cancer
per 50g daily processed meat
Fact Approximately 5 out of every 100 people
will get bowel cancer during their life.
ConclusionEating a huge bacon sandwich every day
increases the number of people getting bowelcancer to 6 out of every 100.
Simpson’s ParadoxSimpson’s ParadoxYou are suffering from a terrible illness.
There are two drugs you can take to cure this illness:(1) Drug A(2) Drug B
Both drugs are put on trial
Drug A Drug B
Day 1
Day 2
Total
Drug A Drug B
Day 1
Cures 63 out of 90 people
Day 2
Total
Drug A Drug B
Day 1
Cures 63 out of 90 people
70%
Day 2
Total
Drug A Drug B
Day 1
Cures 63 out of 90 people
70%
Cures 8 out of 10 people
Day 2
Total
Drug A Drug B
Day 1
Cures 63 out of 90 people
70%
Cures 8 out of 10 people
80%
Day 2
Total
Drug A Drug B
Day 1
Cures 63 out of 90 people
70%
Cures 8 out of 10 people
80%
Day 2
Cures 4 out of 10 people
Total
Drug A Drug B
Day 1
Cures 63 out of 90 people
70%
Cures 8 out of 10 people
80%
Day 2
Cures 4 out of 10 people
40%
Total
Drug A Drug B
Day 1
Cures 63 out of 90 people
70%
Cures 8 out of 10 people
80%
Day 2
Cures 4 out of 10 people
40%
Cures 45 out of 90 people
Total
Drug A Drug B
Day 1
Cures 63 out of 90 people
70%
Cures 8 out of 10 people
80%
Day 2
Cures 4 out of 10 people
40%
Cures 45 out of 90 people
50%
Total
Drug A Drug B
Day 1
Cures 63 out of 90 people
70%
Cures 8 out of 10 people
80%
Day 2
Cures 4 out of 10 people
40%
Cures 45 out of 90 people
50%
Total
Which is the better drug?
Drug A Drug B
Day 1
Cures 63 out of 90 people
70%
Cures 8 out of 10 people
80%
Day 2
Cures 4 out of 10 people
40%
Cures 45 out of 90 people
50%
Total
Cures 67 out of 100 people
Which is the better drug?
Drug A Drug B
Day 1
Cures 63 out of 90 people
70%
Cures 8 out of 10 people
80%
Day 2
Cures 4 out of 10 people
40%
Cures 45 out of 90 people
50%
Total
Cures 67 out of 100 people
67%
Which is the better drug?
Drug A Drug B
Day 1
Cures 63 out of 90 people
70%
Cures 8 out of 10 people
80%
Day 2
Cures 4 out of 10 people
40%
Cures 45 out of 90 people
50%
Total
Cures 67 out of 100 people
67%
Cures 53 out of 100 people
Which is the better drug?
Drug A Drug B
Day 1
Cures 63 out of 90 people
70%
Cures 8 out of 10 people
80%
Day 2
Cures 4 out of 10 people
40%
Cures 45 out of 90 people
50%
Total
Cures 67 out of 100 people
67%
Cures 53 out of 100 people
53%
Which is the better drug?
Drug A is Better!Drug A is Better!
You will reach the incorrect solution if you only consider the daily percentage results.
You are not comparing ‘like with like’.
Sports statistics, exam results are often reported in this way and can be misleading
if the data isn’t interpreted correctly.
Football League Tables
Which is the better team?
Played Win Lose Draw Points
Man Utd 12 8 3 1
3 points for a win and 1 point for a draw
Which is the better team?
Played Win Lose Draw Points
Man Utd 12 8 3 1 25
3 points for a win and 1 point for a draw
Which is the better team?
Played Win Lose Draw Points
Man Utd 12 8 3 1 25
Arsenal 13 6 1 6
3 points for a win and 1 point for a draw
Which is the better team?
Played Win Lose Draw Points
Man Utd 12 8 3 1 25
Arsenal 13 6 1 6 24
3 points for a win and 1 point for a draw
Which is the better team?
Played Win Lose Draw Points
Man Utd 12 8 3 1
2 points for a win and 1 point for a draw
Which is the better team?
Played Win Lose Draw Points
Man Utd 12 8 3 1 17
2 points for a win and 1 point for a draw
Which is the better team?
Played Win Lose Draw Points
Man Utd 12 8 3 1 17
Arsenal 13 6 1 6
2 points for a win and 1 point for a draw
Which is the better team?
Played Win Lose Draw Points
Man Utd 12 8 3 1 17
Arsenal 13 6 1 6 18
2 points for a win and 1 point for a draw
Played Win Lose Draw Points
Man Utd 12 8 3 1 25
Arsenal 13 6 1 6 24
3 points for a win and 1 point for a draw
2 points for a win and 1 point for a draw
Played Win Lose Draw Points
Man Utd 12 8 3 1 17
Arsenal 13 6 1 6 18
Medical and Security Testing
Suppose there are 100 students in your year group, and one of which has stolen another
student’s lunch money. To find the thief everyone undergoes a lie detector test which has an accuracy of 95%. The lie detector says
you are a thief. What is the chance you are actually the thief?
What is the chance you are actually the thief?
17% 84% 5% 95%
Understanding Uncertainty Bayes Theorem animation
Statistics used in CourtStatistics used in Court
Sally Clark
On the 9th November 1999, Sally Clark, was convicted of
the murder of her first two children.
What was said in Court?What was said in Court?
Chances of 1 child dying from SIDS = 1 in 6,500
Chance of both children dying from SIDS
= 1 in 73,000 000
21
6500
Was Sally Clark guilty?
What wasn’t said in court?What wasn’t said in court?
The birth of two children are NOT exclusively
independent events.
What wasn’t said in court?What wasn’t said in court?Statistics of two babies dying
from the same mother:
One third caused by rare but known natural causes (not SIDS).
One third associated with child abuse.
One third true “SIDS” deaths.
2 in 3 chance of innocence, rather than a 1 in 73 million chance of innocence.
What wasn’t said in court?What wasn’t said in court?
Probability of a mother murdering
2 of her own children is
1 in 2,200,000,000
Much lower than the probability of
both children dying from SIDS
1 in 73,000,000
Compulsory InvestigationCompulsory Investigation
Using probability to understand medical and security test
results.