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Growth curves and other nonlinear relationships

In: Introduction to Biometry

Author

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  • Pierre Jolicoeur

    (University of Montreal, Department of Biological Science)

Abstract

The words linear and nonlinear have special technical meanings in statistics. Thus, on the one hand, a relationship (also called a model) Y= f(A,B, C,…; X) is said to be linear if the partial derivative of the function f (A, B, C,…; X) with respect to each of its coefficients (parameters) A, B, C,… etc. does not involve either the same coefficient or another coefficient. On the other hand, the relationship Y= f (A, B, C,…; X) is said to be nonlinear if the partial derivative of the function f (A, B,C,…; X) with respect to any of its coefficients involves either the same or another coefficient. Let us consider for instance the relationship between the oxygen consumption Y of guinea pigs in g per kg of body weight per hour and the environmental temperature X= T in °C(figure 35.1.1).

Suggested Citation

  • Pierre Jolicoeur, 1999. "Growth curves and other nonlinear relationships," Springer Books, in: Introduction to Biometry, chapter 0, pages 345-386, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-4777-8_36
    DOI: 10.1007/978-1-4615-4777-8_36
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