Hostname: page-component-745bb68f8f-d8cs5 Total loading time: 0 Render date: 2025-01-08T12:25:23.743Z Has data issue: false hasContentIssue false

A Simple Graphical Method for Orthogonal Rotation of Axes

Published online by Cambridge University Press:  01 January 2025

Wayne S. Zimmerman*
Affiliation:
University of Southern California

Abstract

A simple method of making orthogonal rotations by projecting coordinates from one plot to another is presented. An easily constructed apparatus for rapid and accurate work is described in detail. By the technique proposed 12 to 15 rotations of pairs of axes involving 20 test variables can be completed per hour by a practiced technician.

Type
Original Paper
Copyright
Copyright © 1946 The Psychometric Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

* The graph paper may be mounted on a separate fiat surface for initial plotting and final reading purposes. In this case one or two horizontal lines and one or two Vertical lines, drawn in appropriate positions on the rotating board, will suffice for guides to locate the plots. By this system the plots can be adjusted more, quickly since less perceptual distraction is introduced. For best resuits the board should be painted white and the lines drawn with black ink.

All lines should be drawn on the under side to avoid effects of parallax in reading.

Use of automatic pencil is desirable as the hole can be drilled to fit the constant diameter of the lead.

* This method of holding the papers in place was suggested by Sgt. J. Boory.

I 3 represents the fifth rotation of centroid axis I.