This report provides empirical results of attempts to achieve consistency of estimates between two National Center for Education Statistics (NCES) surveys, the 1993-94 Private School Survey (PSS) and the Schools and Staffing Survey (SASS). Comparisons are made among statistical and computational procedures that may achieve the desired consistency between estimates. An overview describes the problem of consistency and why it matters. Sections 2 through 4 of this report explore the adjustment alternatives, with the main methods described in Section 2. These include the modified generalized least squares (GLS) approach evaluated in a pilot study and the variation of the GLS proposed by I. Olkin (1958). The third section presents results for nine independent applications for each category of the nine-category NCES typology for private schools. Section 4 presents conclusions, summarizing the work done, and making some recommendations. The new Olkin approach represents some improvements on the GLS approach previously tested, but results are not as encouraging as had been hoped. Section 5 presents references, and the algorithms used are illustrated in an appendix (Section 6). (Contains 36 tables, 40 figures, and 49 references.) (SLD)