1998
DOI: 10.1006/jema.1998.0184
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Effective dimensionality of environmental indicators: a principal component analysis with bootstrap confidence intervals

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Cited by 64 publications
(36 citation statements)
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“…These linear combinations represent a type of abstract measurements or factors that are better descriptors for the data-set structure than the original measurements. The minimum requirement to provide a stable solution in PCA is that the number of observations must be greater than the number of independent variables (Yu et al, 1998).…”
Section: Introductionmentioning
confidence: 99%
“…These linear combinations represent a type of abstract measurements or factors that are better descriptors for the data-set structure than the original measurements. The minimum requirement to provide a stable solution in PCA is that the number of observations must be greater than the number of independent variables (Yu et al, 1998).…”
Section: Introductionmentioning
confidence: 99%
“…This study shows that colour was an important attribute in distinguishing among the samples. In this respect, PCA reinforces the more subjective JAR scale measures [36,37,38]. It provides an objective way of aggregating indicators so that the variation in data can be accounted for as concisely as possible.…”
Section: Colourmentioning
confidence: 91%
“…This allows a clear visual interpretation of significant differences, rather than just investigating the precision of the estimate as demonstrated in previous studies (e.g. Yu et al, 1998). If spheres overlap, significant differences between the assemblages at the study locations are unlikely.…”
Section: Multivariate Techniques Such As Principal Components Analysimentioning
confidence: 95%
“…The technique is analogous to the calculation of sample means and their respective confidence intervals in univariate analysis: if appropriate confidence limits of the different sample means overlap, no significant difference in mean values occurs (Schenker and Gentleman, 2001;Payton et al, 2003). In this case, confidence limits of the first three principal components are calculated by a bootstrapping exercise (similar to Yu et al, 1998). However, in our study, the assemblages at the study locations are plotted in three dimensions using the first three principal components as x, y and z coordinates, but the points are plotted as spheres, the size of the sphere based on the calculation of a confidence radius.…”
Section: Multivariate Techniques Such As Principal Components Analysimentioning
confidence: 99%