Statistics Flashcards
If it asks you to comment on the results of a test
Compare to prior
When finding the MLE
Differentiate again to make sure it is a max
When asked about sufficiency
Always factorise and say explicitly what T is
If adding a random variable on to some iids
P(Xn+1>c|a) or whatever the condition is, gets included in the product in the likelihood
The ‘sample mean’ of u
is u
Dont forget that variance is sigma^2
So when using t’s know when to square
Normal distribution will have the same EQT and HPD because
It is symmetric and unimodal
If X ~Bin(n,p) then for n large enough we have
X~N(np,np(1-p)) where n is large and p is not too far away from 0.5 and a sample proportion phat = X/n has distribution phat~N(p,p(1-p)/n)