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Communications of the ACM

Communications of the ACM

Addressing an array Yi in k-dimensions by Fortran for analysis of variance

In analysis of variance and covariance of data in factorial designs, multidimensional arrays are the rule rather than the exception. The 1620 FORTRAN language is severely limited in its DIMENSION statements in that subscripting may be done for a maximum of only three dimensions. In the technique described, a one-dimensional ordered array may be entered into storage and without additional identification treated as multidimensional. The conceptual technique illustrated below for summation may be expanded to handle any number of factors and is limited only by the storage capacity of the computer.

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