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Analysis of crop lodging using a latent variable model

Published online by Cambridge University Press:  07 October 2003

D. J. ALLCROFT
Affiliation:
Biomathematics and Statistics Scotland, King's Buildings, Edinburgh, EH9 3JZ, Scotland
C. A. GLASBEY
Affiliation:
Biomathematics and Statistics Scotland, King's Buildings, Edinburgh, EH9 3JZ, Scotland

Abstract

A method for quantifying treatment comparisons for a situation in which there are too many zeros in the dataset for a conventional analysis of variance to be valid is presented. The method assumes the existence of a latent variable such that zero observations correspond to values below a threshold, and non-zero observations are transformed to fit the part of the distribution above the threshold. The method is known as Tobit analysis in econometrics. Parameters are estimated by maximum likelihood and standard errors obtained, all using standard numerical routines. Use of the method is demonstrated by analysis of a dataset of crop lodging, and it is anticipated to be widely applicable to other types of data for which high numbers of zeros prevent conventional analysis.

Type
Research Article
Copyright
© 2003 Cambridge University Press

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