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Standard errors of variances; negative variance

Dear  All,
As with the square root of -1, negative variances are a convenient 
computational fiction.  The square root of -1 is an invitation to move
to a 2-dimensional word, where they make perfect sense.

A negative variance estimate, in those systems that allow it, is a useful 
warning that one needs to think and move beyond the one-dimensional 
representation in which the variances have been set.
John Maindonald
Statistics Research Associates, Wellington NZ.