Statistical models for biological growth curves.

MORGAN, Geoffrey W. (1987). Statistical models for biological growth curves. Doctoral, Sheffield Hallam University (United Kingdom)..

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Abstract

The problems of selecting and fitting models to data collected on the growth of an organism or population are considered. The ways of identifying suitable models are reviewed and some suggestions made using smoothed growth rates. The problems in fitting non-linear models to growth data are considered. Use is made of measures of non-linearity and new methods developed to take into account the effects of non-linearity and also the possible presence of auto correlated errors. Stochastic dynamic models for growth are examined and parameter estimators found. Extensive use is made of the Kalman filter. For multivariate situations two methods by which phase plane solutions can be fitted in the bivariate case are developed. The use of the Kalman filter is also considered.The study also considers the role of statistical modelling. A possible methodology is presented. Examples from two areas are presented: plant growth and child growth.

Item Type:	Thesis (Doctoral)
Additional Information:	Thesis (Ph.D.)--Sheffield Hallam University (United Kingdom), 1987.
Research Institute, Centre or Group - Does NOT include content added after October 2018:	Sheffield Hallam Doctoral Theses
Depositing User:	EPrints Services
Date Deposited:	10 Apr 2018 17:21
Last Modified:	26 Apr 2021 12:09
URI:	https://shura.shu.ac.uk/id/eprint/20082

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