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Can someone direct me to an authoritative work on statistics
that distinguishes between "standard deviation" and
"standard deviation of the mean" ?
How about NIST? They have a great online applied stats references.
Here is a general discussion of error analysis
http://www.itl.nist.gov/div898/handbook/mpc/section5/mpc5.htm
Here is a bit on confidence intervals for means, which mentions "standard error".
http://www.itl.nist.gov/div898/handbook/eda/section3/eda352.htm
Or read the glossary for a quick (although rather dense) definition for "standard error"
http://www.itl.nist.gov/div898/handbook/glossary.htm
Tim Folkerts