Optimizing Methods in Statistics || COMPARISONS OF ORDER STATISTICS AND OF SPACINGS FROM HETEROGENEOUS DISTRIBUTIONS11Research sponsored by the Air Force Office of Scientific Research, AFSC, USAF, under Grant No. AFOSR-71-2058 and the National Science Foundation under Grant GU 2612. The United States Government is authorized to reproduce and distribute reprints for Governmental purposes notwithstanding any copyright notation hereon.