Fuzzy p-values in latent variable problems by ELIZABETH A. THOMPSON Department of Statistics, University of Washington, Box 354322, Seattle, Washington 98195-4322, U. S. A. thompson@stat.washington.edu and CHARLES J. GEYER School of Statistics, University of Minnesota, 313 Ford Hall, 224 Church Street S.E., Minneapolis, Minnesota, 55455, U. S. A. charlie@stat.umn.edu Technical Report No. 481 Department of Statistics, University of Washington, April, 2005. 1