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We quantify the effects of Galactic extinction on the derived luminosity anddiameter functions and on the density field of a redshift sample. Galaxymagnitudes are more affected by extinction than are diameters, although theeffect on the latter is more variable from galaxy to galaxy, making it moredifficult to quantify. We develop a maximum-likelihood approach to correct theluminosity function, the diameter function and the density field for extinctioneffects. The effects of random and systematic photometric errors are alsoinvestigated. The derived density field is robust to both random and systematicmagnitude errors as long as these are uncorrelated with position on the sky,since biases in the derived selection function and number counts tend to cancelone another. Extinction-corrected luminosity and diameter functions are derivedfor several subsamples of the {\it Optical Redshift Survey} (ORS). Extinctioncorrections for the diameter-limited subsamples are found to be unreliable,possibly due to the superposition of random and systematic errors. The ORSsubsamples are combined using overall density scaling factors from a full-skyredshift survey of \iras\ galaxies, allowing the reconstruction of the opticalgalaxy density field over most of the sky to 8000 \kms.Comment: 25 pages plus 11 figures. Accepted for publicatio

The Optical Redshift Survey. II. Derivation of the Luminosity and Diameter Functions and of the Density Field