39 (sand,silt,clay) compositions in an Arctic lake in function of depth.

datasets

Main properties and regression procedures using a generalization of the Dirichlet distribution called Simplicial Generalized Beta distribution. It is a new distribution on the simplex (i.e. on the space of compositions or positive vectors with sum of components equal to 1). The Dirichlet distribution can be constructed from a random vector of independent Gamma variables divided by their sum. The SGB follows the same construction with generalized Gamma instead of Gamma variables. The Dirichlet exponents are supplemented by an overall shape parameter and a vector of scales. The scale vector is itself a composition and can be modeled with auxiliary variables through a log-ratio transformation. Graf, M. (2017, ISBN: 978-84-947240-0-8). See also the vignette enclosed in the package.

Monique Graf

Simplicial Generalized Beta Regression

arc function

A data frame with 39 observations on the following 4 variables.<dl>
 <dt>sand</dt>
<dd>sand part</dd> <dt>silt</dt>
<dd>silt part</dd> <dt>clay</dt>
<dd>clay part</dd> <dt>depth</dt>
<dd>depth (m)</dd> 
</dl>

Format

arc dataset — arc

A data frame with 39 observations on the following 4 variables.<dl>
 <dt>sand</dt>
<dd>sand part</dd>

 <dt>silt</dt>
<dd>silt part</dd>

 <dt>clay</dt>
<dd>clay part</dd>

 <dt>depth</dt>
<dd>depth (m)</dd>

 
</dl>

arc: arc dataset

Description

Usage

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References

Examples