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Calculation and Miscalculation of the Allometric Equation as a Model in Biological Data

Authors: Jerrold H. Zar;

Calculation and Miscalculation of the Allometric Equation as a Model in Biological Data

Abstract

The simple linear regression model, (1) Y= 0o+ 31X, where Y is the dependent variable, X is the independent variable, and P0 and P1 are population parameters to be estimated empirically, often does not adequately describe or represent the relationship between the two variables. A commonly used procedure to arrive at a more descriptive model is to fit a higher degree polynomial, (2) Y=f3o+1 1X1+32X22+ 03X33 +... +RX,. Since the polynomial regression is simply a multiple linear regression, it can be fitted easily by ordinary least squares techniques, especially with the aid of a digital computer. At times, however, the researcher may believe that his data are better fit by a model where the parameters do not enter linearly. There are several nonlinear regression models in use in biology; what follows is a discussion of one such model, emphasizing the caution which must be exercised in fitting the model by the common approximate method.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
126
Top 10%
Top 1%
Top 10%
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