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The Journal of Immunology, 1974, 113: 2035-2039.
Copyright © 1974 by The American Association of Immunologists, Inc.

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The PHA Dose-Response Curve: Validation of the Use of Logarithmic Graph Paper by Computer Analysis Results1

John B. Ziegler2, Prudence J. Hansen, Wayne A. Davies and Ronald Penny

From the Department of Immunology, St. Vincent's Hospital, Sydney, and the Department of Medicine, University of New South Wales, Sydney, Australia

Abstract

Phytohemagglutinin in concentrations of 0 to 800 µg/ml was used to stimulate peripheral blood lymphocytes of normal donors and responses were determined using tritiated thymidine incorporation into DNA after 68 hr incubation. A computer program was used to rank responses at each dose of phytohemagglutinin and to test for a normal distribution by the technique of probit transformation of cumulative frequencies. The procedure was repeated using logarithms, square roots, and cube roots of ranked values. Results indicated that the logarithmic function provided the closest approximation to a normal distribution over the range of the dose-response curve. These results validate the practice of plotting lymphocyte culture data on logarithmic graph paper and indicate that geometric statistics should be used to compare sets of data by methods which assume a normal distribution.

Footnotes

1 This project was supported in part by the New South Wales State Cancer Council.

2 National Health and Medical Research Council Post Graduate Medical Research Scholar.




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R. Lau, D. Tubergen, M Barr Jr, E. Domino, N Benowitz, and R. Jones
Phytohemagglutinin-induced lymphocyte transformation in humans receiving delta9-tetrahydrocannabinol
Science, May 21, 1976; 192(4241): 805 - 807.
[Abstract] [PDF]




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