Archive for the ‘Health Stats that Harm Your Health’ Category


1. Why bother?

June 14, 2013

The most annoying health statistics are based on small study groups. 

 Picture 1

eg. 9 out of 10 dentists recommend this toothbrush. Oral B as it turns out.

In maths we call this for obvious reasons a SMALL SAMPLE SIZE.  This may not be a problem when buying a toothbrush, but what if they are trying to sell you – sticking with thedentist theme – a $5,000 procedure that breaks your jaw and resets it to improve your bite?

Where are the numbers? Has there even been any research? Or a large-scale survey about this procedure? Are people happy with this procedure? Did it even work?

You do not want to make a health decision based on a study involving a SMALL SAMPLE. From the above ad, a sample of 1, dentists are a hot date. You may not want to put your faith in this statistic.


2. Rats and Stats

June 14, 2013

Often the alarming results of health studies published in the media are based on rats. Any study of rats gives us a insight into possible links to human health, but further studies are needed.

eg. Couch Potatoes May Be Genetically Predisposed to Being Lazy, Rat Study Suggests. The study by Frank Booth, a professor in the MU College of Veterinary Medicine was able to selectively breed rats for extreme activity or extreme laziness. They say these rats indicate that genetics could play a role in exercise motivation, even in humans.

lazy rat

They bred lazy rats.

sports rat

They bred active rats.

ratin a hat

They even bred rats in hats.


Rats DO NOT THINK like humans. There is no rat walking around asking ‘does my butt look big in this?


‘Even if rats experience the same disease they do not benefit from the PLACEBO EFFECT. Give a rat a sugar pill, it is just a sugar pill. But for humans a sugar pill can be 50% of the drug efficacy. Easily.

Health studies involving rats just point to an area of further research.

eg. In the 1970s rat studies suggested that artificial sweeteners caused bladder cancer. There was panic. Outrage. Hysteria. Eventually it all settled down. Further studies could not establish a link to cancer in humans. More info National Cancer Institute.

The results of rat studies are only relevant to those who hang out with lab rats namely the researchers.

There is no maths term to describe this statistical error. I’ll simply call it RATTY RESEARCH.


3. Stuff Ups 1

June 14, 2013

You go to the doctor with lower back pain.

bad back

The doc recommends an MRI scan. A problem is identified and an operation, perhaps, recommended. But here is the problem. The back problem identified in the scan may not be the cause of the pain.

Risks: health screening

In maths this is called FALSE ATTRIBUTION.

You get all the pain – financial and physical – but no gain.

You will find a very interesting discussion of this problem The Health Report, Radio National, ABC.

Dentists suffer a higher incidence of lower back pain … Maybe from prancing around in towels in front of mirrors. Wait. That was only a small sample of 10 paid dentists.

No conclusion can be drawn.


4. Stuff Ups 2

June 14, 2013

All medical tests are subject to a % error.



This may not be a problem if you are advised to, say, take more Vitamin D to correct the problem you don’t have. But if you are being advised to undergo major surgery, a second test is advisable.

As statistician Michael Blastland explained in Everyday risks: when statistics can’t predict the future (The Guardian 9 JUN 2013):

False positives are common for the simple reason that if you test a million healthy people, even with a 99% accurate test, you will still have 10,000 wrong results. And that’s not including human error. Hopefully, you will not experience one of these:

x ray


5. Not the Full Story

June 13, 2013

TV Kills was the headline that raced around the world as a result of this study.

TV shock

As New Scientist pointed out:

The asked 8800 people about their health, lifestyle and television watching behaviour, and then followed them over the next six years, during which time 284 of them died. Among people who spent more than 4 hours a day in front of the TV, it found, the risk of their dying within the period of the study was 46 per cent higher than among those who watched less than 2 hours a day.


The error is confusing CORRELATION with CAUSATION. The risk might involve the sitting rather than TV. Or it could be that those who sit in front of TV longer are not well.



Now that we have more screening tools we must be more cautious.

Angelia Jolie had her breasts removed because of testing positive for the BRCA 1 and BRCA 2 genes, which are linked to an increased risk of Breast Cancer.


This is her decision. Anyone facing breast cancer would seriously consider this option.


BUT, be wary if you face this decision.


Think of Asthma. If we started our research into asthma looking for asthma genes we would have found them.

Genes create a pre-disposition for Asthma (hence the correlation) but they do not cause asthma.  The dust mite, pollen, cat, dairy and other allergies cause asthma. If researchers had concentrated on genes alone our knowledge of asthma would be limited.


 Another study showed that 80% of prisoners in Australia smoke. Isn’t it obvious? Smoking causes criminal behaviour!!!!!


6. Scary Stories, Scary Nos.

June 13, 2013

When it comes to health stats emotions beat facts.

kid walk

Not many children in Australia or the UK walk to school unsupervised or at all. The risks perceived by parents are out of proportion to the real risk. This is more to do with psychology than statistics.


Shocking stories about car accidents and abductions terrify parents. But their fears are not supported by the numbers.  As The Guardian noted, here are the stats for child pedestrian deaths in the UK.

pedestrian sign

In 2008 in England and Wales there were 1,471,100 girls aged between five and nine. The Office for National Statistics says 137 of them died from all causes. One was a pedestrian in a traffic accident. In 2010, there were no pedestrian deaths in this category.

 body count

As for abductions, the big stories capture our attention like the Madeleine McCann case. But as The Telegraph noted, more children in the UK die from window blinds (the chords are a hazard causing 4 deaths per year) than abduction.

We also tend to be more frightened by big numbers than little numbers.

This from the New Scientist.

In one study of this effect, people rated cancer as riskier when told that it “kills 1286 people out of 10,000” than when told it “kills 24.14 people out of 100”


This makes living on the earth very dangerous as, according to the World Health Organization

approximately 156,000 people die a day. And don’t even think to look at your Star Sign. Obviously, 13,000 Geminis die each day and 13,000 Leos. And so on. For those concerned it was not their lucky day.

star signs

Too many death statistics are not good for your health either.


7. Shock! Horror! Newsflash

June 13, 2013

A number of women develop breast cancer who worked in the same office. This happened in ABC offices in Australia in 2006.

A link was assumed but after exhaustive tests no environmental cause was found.

See ABC abandons cancer scare building.


Tragically, independent events can cluster. One episode of Numb3rs explained this possibility very well. If you fire a machine gun at a barn wall and draw a circle around a group of bullet holes later that is a cluster. But don’t try this at home, mathspiggies. 

There is a great explanation of clustering here. Some Aussie road signs show clusters of IDIOTS!