This paper has two purposes: (1) to examine whether Puerto Ricans, non-Puerto Rican Hispanics, and Blacks suffer substantial wage discrimination relative to comparable Whites; and (2) to examine the extent to which employers in the Federal and non-Federal sectors discriminate by race or ethnicity in making wage offers. After a discussion of economic theory underlying the statistical models employed, the 1976 Survey of Income and Education are subjected to direct, reverse, and structural regression analysis. In addition, data from the Federal Government Central Personnel Data File are subjected to direct and reverse regression analysis. Overall, the results of the three analysis techniques support the following findings: (1) minority women do not generally suffer substantial wage discrimination relative to comparable Whites; (2) minority men may suffer discrimination in terms of both wage offers and actual average wages, and estimates of the magnitude of both kinds of discrimination may be subject to serious measurement error bias; and (3) wage discrimination against minority males (particularly Blacks) is greater in the Federal than in the non-Federal sector, while earnings discrimination against minority males (particularly Blacks) is smaller in the Federal than in the non-Federal sector. (CMG)