Growth curves and other nonlinear relationships

Pierre Jolicoeur
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Pierre Jolicoeur: University of Montreal, Department of Biological Science

Chapter Chapter 35 in Introduction to Biometry, 1999, pp 345-386 from Springer

Abstract: 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).

Keywords: Nonlinear Model; Brown Trout; Nonlinear Relationship; Somatic Growth; Brain Weight (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1007/978-1-4615-4777-8_36

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