Premium
Optimized temporal sampling designs of the Weibull growth curve with extensions to the von Bertalanffy model
Author(s) -
Swintek J.,
Etterson M.,
Flynn K.,
Johnson R.
Publication year - 2019
Publication title -
environmetrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.68
H-Index - 58
eISSN - 1099-095X
pISSN - 1180-4009
DOI - 10.1002/env.2552
Subject(s) - weibull distribution , growth curve (statistics) , statistics , sampling (signal processing) , mathematics , sigmoid function , shape parameter , schedule , population , computer science , artificial intelligence , demography , filter (signal processing) , sociology , artificial neural network , computer vision , operating system
We describe designs for the temporal aspect of sampling in an experiment that estimates the population mean growth of an organism that can be modeled using a Weibull or von Bertalanffy growth curve. First, the properties of the Weibull growth curve are explained. Next, using the shape parameter ( v ), the Weibull growth curve can be categorized into two shape categories: sigmoid and saturation. D‐optimization and shape classification are used to determine the optimal sampling occasions and the effect of a sampling schedule on the precision of the size estimates. Finally, the results are used to recommend a generalized sampling design to best determine the shape and size of a growth curve.