Although the Federal courts have displayed a notable concern for the potential effects of resegregation in their adjudication of disputes involving public aid to private schools, they have generally rejected the idea that the threat of resegregation should be taken seriously in drawing up desegregation plans for public school districts. The judicial attack on private schools has been unsuccessful in stemming their growth as alternatives to integrated public schools. Judicial action in approving desegregation plans has actually contributed to resegregation in some communities. Judges have a distinct problem in trying to assess which desegregation plans will produce maximum desegregation. On the one hand they know that school officials sometimes raise the specter of resegregation when white flight from the public schools is not really likely. On the other hand the white percentage actually declines when court ordered reassignment is instituted. A judge genuinely interested in the workability of alternative plans must determine what combinations of circumstances are most likely to produce resegregation without really having much information on which to base his decision. Social science, so far, has offered little help. The lower court must contend not only with the lack of information about resegregation, but must produce decisions acceptable to the Supreme Court as well. The Court's two goals of effectiveness and speed may be, under certain circumstances, contradictory. (Author/JM)