Estimating significances of differences between slopes: A new methodology and software

Determining the significance of slope differences is a common requirement in studies of self-thinning, ontogeny and sexual dimorphism, among others. This has long been carried out testing for the overlap of the bootstrapped 95% confidence intervals of the slopes. However, the numerical random re-sam...

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Bibliographic Details
Main Authors: Vasco M. N. C. S. Vieira, Joel Creed
Format: Article
Language:English
Published: International Academy of Ecology and Environmental Sciences 2013-09-01
Series:Computational Ecology and Software
Subjects:
Online Access:http://www.iaees.org/publications/journals/ces/articles/2013-3(3)/estimating-significances-of-differences-between-slopes.pdf
Description
Summary:Determining the significance of slope differences is a common requirement in studies of self-thinning, ontogeny and sexual dimorphism, among others. This has long been carried out testing for the overlap of the bootstrapped 95% confidence intervals of the slopes. However, the numerical random re-sampling with repetition favours the occurrence of re-combinations yielding largely diverging slopes, widening the confidence intervals and thus increasing the chances of overlooking significant differences. To overcome this problem a permutation test simulating the null hypothesis of no differences between slopes is proposed. This new methodology, when applied both to artificial and factual data, showed an enhanced ability to differentiate slopes.
ISSN:2220-721X