...does what it says on the tin. Monday morning... : comments.
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(no subject)
(no subject)
First, the simplified form: I have a series of observations. How do I assess whether their mean is significant?
The actualy problem: I have 3 rhinos, which have each been anaesthetised a fair few times. In each case, the time to onset of anaesthesia has been recorded in a proportion of cases. How do I tell whether the values I have tell me anything useful? (i.e. mean time of onset might be 5 minutes, but is this significant?)
(no subject)
If I remember correctly (and I never did these at A Level, for no reason I'm aware of) you normalise to a variance of 1 (obtaining global variance estimates from sample variance is a case of multiplying by n/(n-1), IIRC), and a mean of 0, and then pull out a lookup table, which will give the boundary values beyond which that mean is significant at the (say) 5% level.
I'm assuming here that you're adopting the standard approach to hypothesis testing, i.e. you have a control sample, and thus a 'typical' mean, and you are trying to verify the assertion that a particular sample is (say() greater than the mean, and that there is less than a 5% chance this could have come about randomly.
Hmmm... That's almost certainly useless to you, but I think the critical point is to look up a t-test in a stats textbook of whatever level you have the background for.
IIRC, you're trying to verify the assertion that the onset time increases with repeated applications. Were I attempting to do this without doing some serious reading beforehand, I'd compare likelihoods of a fixed mean, and one which decreased with time. Still using a t-test, but 'normalise to mean 0' takes on a slightly different meaning.
It's really quite hard to explain maths by email, so I can't imagine this makes much sense. Still, hope it helps a little.
(no subject)