Is Model II regression necessary for Taylor’s Power Law?
Supervisors: Dr Andrew Hamilton and Mr Vincent Versace (Deakin University) Taylor’s Power Law (TPL) is a descriptive mathematical model of the mean density-variance relation of a population. The slope coefficient, b, is widely used as a measure of spatial contagion of the population, and TPL is used as a basis for developing sequential sampling protocols for regular, cost-effective monitoring of insect populations (particularly pests). Because both the mean and variance of a population have associated error and because there is no causality in the relationship between the variables, Type I regression methods (such as the widely used Ordinary Least Squares technique) are technically inappropriate, and Type II models, particularly one known as Reduced Major Axis (or Geometric Mean) regression, are applicable. But who cares? I do! Does it really matter though? Maybe; maybe not – that’s what we need to find out. Many researchers continue to use Model I regression for TPL, either because th
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