A survey carried out by Westat, Inc., under contract with the Center for Statistics found that up to 73 percent of all private schools offered some kind of special services in 1983-84. Questionnaires were sent to a sample of 2,298 schools meeting the survey criteria. Of these schools 1,869 (81 percent) responded. Catholic elementary/secondary schools far outpaced other private schools in offering remedial reading: 85 percent compared to 62 percent of other religiously affiliated schools and 71 percent of nonaffiliated schools. Diagnostic services were offered by 69 percent of the Catholic schools compared with 49 percent of other affiliated and 60 percent of nonaffiliated schools. Over 64 percent of nonaffiliated schools offered remedial math, followed by Catholic (62 percent) and affiliated (49 percent) schools. Areas sparsely served by private schools were bilingual education (9 percent); English as a second language (18 percent); vocational and technical education (15 percent); and special programs for handicapped students (22 percent). Data is displayed in two tables. (MLF)