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DURING the last few years, the field of applied statistics has experienced a tremendous growth. This is evidenced by the increasing acceptance of the statistician as a vital member of the research and engineering team. The advent of the computing machine is not the least of the factors which has contributed to this growth. Not too long ago, complex statistical problems in multivariate analysis or analysis of variance were beyond the realm of possibility because of the months and years necessary to obtain solutions by conventional hand computation methods. Now, with the existence of computing machines of increased sizes, speeds, and capacities, more of these problems can be solved and are being solved on a routine basis.