Cumulative Standard Errors

Soldato
Joined
8 Mar 2004
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3,188
Location
Central London
So, this is kind of a homework thread, but just need some help figuring out how cumulative standard errors work.

My data is an amount which accumulates over a 3.5 hour period in 30 min intervals.
The amounts are +/- standard error. When these amounts are cumulated, what happens to the standard errors?

a) the S.E could also be cumulated, so that the final cumulative amount is +/- cumulative S.E

b) The largest or smallest S.E is used, as this limits the extent of the other S.Es.

c) possibly the mean of the S.Es are taken??

This isn't a direct question that I've been asked, its just the 3 possibilities that I could come up with to make progress with my report! I would have thought that the S.E's are cumulated with the amounts, but then if you looked at it on a plot, it doesn't really make sense and it looks like one of the S.Es will be limiting.

Statistics confuses me and couldn't really find a good answer on google! :(
 
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