Compositional Data Analysis 2011
DOI: 10.1002/9781119976462.ch4
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Dealing with Zeros

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Cited by 120 publications
(113 citation statements)
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“…The ilr transformations, as well as ilr back-transformations to familiar concentration units, were computed using the R "compositions" package [50]. Some B and Cu levels below detection limits were replaced by the detection limit of the equipment for the corresponding element, multiplied by 0.65 [51]. Tukey's test (p ≤ 0.05) allowed detecting significant difference between TN and TP populations.…”
Section: Discussionmentioning
confidence: 99%
“…The ilr transformations, as well as ilr back-transformations to familiar concentration units, were computed using the R "compositions" package [50]. Some B and Cu levels below detection limits were replaced by the detection limit of the equipment for the corresponding element, multiplied by 0.65 [51]. Tukey's test (p ≤ 0.05) allowed detecting significant difference between TN and TP populations.…”
Section: Discussionmentioning
confidence: 99%
“…Simulations show this method performs particularly well if the proportion of zeros is below 10% (Martín-Fernández et al, 2011). In our data set, zeros were present only in one budget category (discretionary expenditure).…”
Section: Martínmentioning
confidence: 93%
“…If the z vector contains zeros, they must be replaced beforehand (Martín-Fernández et al, 2011). When, like in this case, the data are counts of frequencies, the common framework for replacing the zeros is the Bayesian-multiplicative approach (Martín-Fernández et al, 2015b;Pierotti et al, 2009) In the BayesLaplace's rule, the z cero values are replaced with:…”
Section: Zero Replacementmentioning
confidence: 99%