The advent of 8--10 meter class telescopes enables direct measurement of the
chemical properties in the ionized gas of cosmologically--distant galaxies with
the same nebular analysis techniques used in local H II regions. We show that
spatially unresolved (i.e., global) emission line spectra can reliably indicate
the chemical properties of distant star-forming galaxies. However, standard
nebular chemical abundance measurement methods (those with a measured electron
temperature from [O III] lambda4363) may be subject to small systematic errors
when the observed volume includes a mixture of gas with diverse temperatures,
ionization parameters, and metallicities. To characterize these systematic
effects, we compare physical conditions derived from spectroscopy of individual
H II regions with results from global galaxy spectroscopy. We consider both
low-mass, metal poor galaxies with uniform abundances and larger galaxies with
internal chemical gradients. Well-established empirical calibrations using
strong-line ratios can serve as reliable (~0.2 dex) indicators of the overall
systemic oxygen abundance even when the signal-to-noise of the Hbeta and [O
III] emission lines is as low as 8:1. We present prescriptions, directed toward
high-redshift observers, for using global emission line spectra to trace the
chemical properties of star-forming galaxies in the distant universe.
[abridged]Comment: Accepted for Publication in the Astrophysical Journal; 34 pages, 10
figures, uses AASTeX and psfi