once more: methods on missing data

On Thu, 7 Jun 2001 Maciej.Hoffman-Wecker at evotecoai.com wrote in part:

The result of the call

     x <- as.numeric(c(NA,NA,NA)); STATISTIC(x[!is.na(x)])

depends on the STATISTIC.

     STATISTIC           RESULT
     min                 Inf and warning message
     max                 -Inf and warning message
     mean                NaN and no warning message
     quantile            named vector containing NAs and no warning message
     sd                  abortion of the evaluation with an error message

<snip>

Should not the statistics generally return NA and a warning message?

Ideally, they shouldn't.  NA is missing data -- that is, we don't know the
value of the statistic because some data were not measured. That's why,
for example  NA & FALSE is FALSE, not NA, because the value of the
expression is known, no matter what the first operand is.

The results for min() and max() have the rationale that eg max(a,max(b))
should return the same as max(a,b) even when b is empty. There's even some
examples where this is genuinely helpful.

If the others were to return a value I think NaN (undefined numerical
result) would be better than NA (missing data), as is the case with
mean(). This would argue for changing the return value of quantile() as
well.

However, I think it's reasonable for a function to refuse to calculate the
variance of no data. We do have try() to handle errors if needed.

	-thomas

Thomas Lumley			Asst. Professor, Biostatistics
tlumley at u.washington.edu	University of Washington, Seattle

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