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A Least Squares Test of General Use in the Radioisotope Laboratory^2,3,

Denver, Colorado

ABSTRACT

A set of simple and frequently useful equations for least squares analysis of a set of data points which fit a single exponential function is presented. They can be solved quickly using a calculator and table of logarithms without knowledge of abvanced mathematics. We have found them useful in determining the half-time of disappearance and Y intercept which best fit the data in several tests performed routinely in nuclear medicine. Comparison reveals a surprising discrepancy between the half-times determined by this method and those obtained by semilogarithmic plotting. It is suggested that the least squares method presented is more objective and probably superior.

FOOTNOTES

² This work was supported by U.S. Public Health Service Grant #HE09112-02.

³ This Letter is essentially a reprint of the letter published in the April, 1966 issue of the Journal of Nuclear Medicine (pp. 314-317). Minor modifications have been made in the formulae at the suggestion of Dr. Donald W. Brown.

¹ From the Departments of Radiology and Medicine, University of Colorado Medical Center, 4200 East 9th Avenue, Denver, Colorado 80220.