of the weighted mean to indicate the dispersion between the two values. Note that the lower value would be in better agreement with the L-Z relationships, but that the mean is not offset very far. Overall, the oxygen abundances determined in this paper are all relatively low (12 + log(O/H) $< 8.3$; average 12 + log(O/H) $= 7.84$) as we would expect for low-mass, low-luminosity galaxies. The abundances for the two additional objects outside of the LVL sample, UGC 4393 and UGC 10818, are discussed in Appendix \[sec:outlier\].

The L-Z and M-Z Relationships {#sec:relationships}
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The new “direct" oxygen abundances determined in this paper provide an opportunity to expand relationships previously limited by the reliability of empirical calibrations. In particular, these measurements allow us to re-examine the L-Z and M-Z relationships derived by L06, which are limited by small number statistics at the low luminosity end.

The Total and “Select" Samples {#sec:Gold}
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In the following, we analyze various samples based on both abundance measurement and distance measurement quality criteria. Specifically, we label the samples of galaxies with both direct oxygen abundance measurements and accurate distances as “Select.” We observed 31 objects with \[\] $\lambda4363$ detected at a strength greater 