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Unexpected behaviour when testing for independence with multiple factors

At 16:03 17/09/2008, Javier Acu?a wrote:
For future reference you might find
?interaction
helpful as another tool in your box.
It is hard to resist quoting Box (1953, 
Biometrika, 40, p333) that these tests are '... 
like putting to sea in a rowing boat to find out 
whether conditions are safe for an ocean liner to leave port'
Michael Dewey
http://www.aghmed.fsnet.co.uk