Skip to main content

Correlation, causality and accusations of witchcraft

A story in the news today was a classic example of the confusion of correlation and causality. Scientists are always banging on about this, and some people wonder how this apparent statistical nicety matters - yet it's the reason that over the centuries people have been accused of witchcraft.

Correlation is when two things happen in proximity - of time, space or both. Causality is when one causes the other. Because we understand the world through patterns, when there is correlation, we tend to assume causality - but without evidence, this is a mistake. In the case of witches, an old person might curse a farmer for not giving them some milk. Two days later, one of the farmer's cattle dies. Burn the witch!

You might think that we are beyond such thinking in the UK, but unless there is data that wasn't presented in this news story, we clearly aren't (I read it in the i newspaper, but I'm sure it was elsewhere too.) There has been a large rise in the number of students accessing counselling services in universities over the last few years. Over the same period, tuition fees have pretty much trebled. There's the correlation, but as yet we've no evidence (let alone proof of causality). So what are we given?

  • A spokesman from mental health charity Mind said tuition fees and student loan debt were 'major contributors' to the rise in students seeking mental health help. Evidence? None given - appears to be a pure assumption. He went onto say it was 'unlikely' that the rise reflected greater openness around mental health. But even if this is the case it doesn't mean there is only one other cause - it's not either/or.
  • An NUS spokesperson said 'The evidence is clear - the marketisation of education is having a huge impact on students' mental health' - what evidence, except correlation. Pure political witch hunting statement.
  • A psychologist commented 'Research has shown that financial difficulties, such as being unable to pay bills, has an impact on mental health in students.' Quite probably true, but totally irrelevant. Student loan repayments don't kick in until the end of the course when the student is earning over £21,000.
Let's be clear, I'd prefer it if we didn't have tuition fees, and mental health issues are very important. But by leaping from correlation to causality in this way, the story totally undermines its argument. There may be evidence of causality - but it certainly isn't presented. If the psychologist is right, it seems far more likely that the cause (over and above more reporting) is financial difficulties while a student - which has nothing to do with tuition fees. But without data, to make this kind of suggestion is an irresponsible act.

Comments

Popular posts from this blog

Why I hate opera

If I'm honest, the title of this post is an exaggeration to make a point. I don't really hate opera. There are a couple of operas - notably Monteverdi's Incoranazione di Poppea and Purcell's Dido & Aeneas - that I quite like. But what I do find truly sickening is the reverence with which opera is treated, as if it were some particularly great art form. Nowhere was this more obvious than in ITV's 2010 gut-wrenchingly awful series Pop Star to Opera Star , where the likes of Alan Tichmarsh treated the real opera singers as if they were fragile pieces on Antiques Roadshow, and the music as if it were a gift of the gods. In my opinion - and I know not everyone agrees - opera is: Mediocre music Melodramatic plots Amateurishly hammy acting A forced and unpleasant singing style Ridiculously over-supported by public funds I won't even bother to go into any detail on the plots and the acting - this is just self-evident. But the other aspects need some exp

Is 5x3 the same as 3x5?

The Internet has gone mildly bonkers over a child in America who was marked down in a test because when asked to work out 5x3 by repeated addition he/she used 5+5+5 instead of 3+3+3+3+3. Those who support the teacher say that 5x3 means 'five lots of 3' where the complainants say that 'times' is commutative (reversible) so the distinction is meaningless as 5x3 and 3x5 are indistinguishable. It's certainly true that not all mathematical operations are commutative. I think we are all comfortable that 5-3 is not the same as 3-5.  However. This not true of multiplication (of numbers). And so if there is to be any distinction, it has to be in the use of English to interpret the 'x' sign. Unfortunately, even here there is no logical way of coming up with a definitive answer. I suspect most primary school teachers would expands 'times' as 'lots of' as mentioned above. So we get 5 x 3 as '5 lots of 3'. Unfortunately that only wor

Why backgammon is a better game than chess

I freely admit that chess, for those who enjoy it, is a wonderful game, but I honestly believe that as a game , backgammon is better (and this isn't just because I'm a lot better at playing backgammon than chess). Having relatively recently written a book on game theory, I have given quite a lot of thought to the nature of games, and from that I'd say that chess has two significant weaknesses compared with backgammon. One is the lack of randomness. Because backgammon includes the roll of the dice, it introduces a random factor into the play. Of course, a game that is totally random provides very little enjoyment. Tossing a coin isn't at all entertaining. But the clever thing about backgammon is that the randomness is contributory without dominating - there is still plenty of room for skill (apart from very flukey dice throws, I can always be beaten by a really good backgammon player), but the introduction of a random factor makes it more life-like, with more of a sense