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Volume 10 - June 1945

Contents

Page 2 of 2

Original Paper

  • An I.B.M. Technique for the Computation of ΣX2 and ΣXY

  • Kurt Benjamin
  • Published online by Cambridge University Press:
    01 January 2025, pp. 61-67

  • Given I.B.M. cards punched with scores (or any numbers)—but not their squares—a method is presented of tabulating them (on the No. 405 alphameric I.B.M. tabulator) so as to obtain the sum of squares. The technique is also adaptable to summation of cross-products. The principle is an extension of the Mendenhall-Warren-Hollerith technique of vertical progressive digiting, without the necessity of manual addition or summary-punching, and is designed for machines not equipped with the “card cycle total transfer” device or “progressive total” device. Use is made of “counter rolling.” Efficient use of machine capacity is made only when intercorrelations between no more than two variables are required in addition to sums of squares. A resumé of some techniques now commonly employed is included.

A Review

Page 2 of 2