Growth curve analysis for cardio-pulmonary responses to physical exercise
Date
1990
Authors
Paiker, Mark Joel
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Abstract
This dissertation investigates the fitting of growth curves to cardio-pulmonary responses
on a treadmill.
The practical application is based on two approaches in the growth curve literature,
namely the Richards family of growth curves and the polynomial of Potthoff and Roy, and
Rao and Khatri.
The first part of this dissertation deals with the theoretical background to the two
approaches.
Derivations of the Richards family of growth curves are considered, distinguishing
characteristics discussed, and the various estimation techniques employed in the fitting of
these nonlinear growth curves.
The different types of polynomials in the Potthoff and Roy model as well as the
Raa-Khatri model are considered. The fitting of these growth curves as well as the
hypothesis tests involved in choosing the correct degree of polynomial is also examined.
The second part of this dissertation deals with the data taken from an exercise test
examining cardia-pulmonary responses. The two approaches in the first part of the
dissertation are used to fit the data to a specific function. The best fitting functions
characterizing the data are chosen, and physiological interpretations of these results are
provided. Experimental design difficulties are also discussed.
Description
A DISSERTATION SUBMITTED TO THE FACULTY OF SCIENCE, UNIVERSITY
OF WITWATERSRAND, JOHANNESBURG, FOR THE DEGREE OF MASTER OF
SCIENCE
Keywords
Heart beat -- Testing., Exercise -- Physiological aspects., Biometry., Multivariate analysis., Exercise tests., Cardiopulmonary system -- Testing.