In article <[EMAIL PROTECTED]>,
James Choe <[EMAIL PROTECTED]> wrote:

>Thanks Radford for your clear explanation. I think I am more
>interested in directional hypothesis, then. Would Kruskal-Wallis
>suffice in that case? If not, what sort of test should I be using? (I
>have monthly time-series county level data from 1980 - 1997). I am
>learning stats off of a book, but I am wasn't sure which test is
>appropriate for a case I described.

It probably looses a bit of information, but the simplest approach I
can think of would be to start by taking yearly averages for all
counties in one state and all counties in the other state.  Perhaps a
weighted average, weighted by size of county would be appropriate,
though as I mentioned, the whole idea of comparing precipitation by
state (a totally artificial entity) seems rather strange.  Then take
the differences.  You're left with a time series of differences in
precipitation for 1980-1997.  You then need to estimate the
autocorrelations, and use that to adjust the standard error for the
estimated mean difference.  I think Diggle's book on time series
covers this.  However, 18 years may not be enough data.  Also, there
may be a trend (or long-lag autocorrelation) over the 18 years, which
would make the results meaningless.

I suggest you think more about what you're really trying to accomplish.

   Radford Neal

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Radford M. Neal                                       [EMAIL PROTECTED]
Dept. of Statistics and Dept. of Computer Science [EMAIL PROTECTED]
University of Toronto                     http://www.cs.utoronto.ca/~radford
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