The Forum > General Discussion > A case of lies, damned lies and statistics? What, if anything, should Mr. Corben do?
A case of lies, damned lies and statistics? What, if anything, should Mr. Corben do?
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NSW HEALTH DENIES BIRTH DEFECT CLUSTER
http://www.abc.net.au/news/stories/2011/05/14/3216913.htm?site=newcastle
In simple terms:
The global incidence of gastroschisis is one in 5,000 live births. In a three year period seven babies with this rare disease were born in the Northern Rivers region of NSW. This works out to an incidence of one in 950.
What are the odds of this happening by chance alone?
It works out to around 1 in 3000. The odds against are 3000 to 1!
Yet Mr. Corben, the region’s public health director says "What we're seeing here is most likely just a random event,"
Is Mr. Corben correct? Is there nothing to worry about?
The numbers quoted in the article suggest 6,650 births in the region in the past 3 years. (7X950).
Let’s look at it from another perspective.
Roughly 396 million babies were born on planet Earth in that period. Let’s divide the Earth in 59,548 “cells” such that in each cell 6,650 babies were born in the past three years. 59,548 X 6,650 gives roughly 396 million births so, by doing this we’ve accounted for all births on the planet.
Let’s also assume that the incidence of gastroschisis is indeed one in 5000 and that the occurrences are completely uncorrelated.
How many cells would you expect to find with at least 7 cases?
It turns out that the number is about 19. You would expect to find 19 little communities (out of 59,548) that recorded 7 or more cases of gastroschisis. From this perspective it looks as if the people in the Northern River region were just among the unlucky few.
Look at it this way. If you buy a lottery ticket the chances of winning a big prize are small. But often somebody does win. They’re lucky.
So you could say the people of the Northern Rivers region won a “negative lottery.” They were among those that got the booby prize.
And then again, maybe there really is some problem in the region.
A case of lies, damned lies and statistics? What, if anything, should Mr. Corben do?