MM-type estimators for linear regression on compositional data
lmrob method for robust linear regression models to fit
a linear regression models to compositional data.
The formula for the regression model
The data.frame to use
The variables on the right-hand-side of the formula will be transformed with the isometric log-ratio
isomLR) and then the robust linear regression model is applied to
those transformed variables. The orthonormal basis can be constructed in
p different ways,
p is the number of variables on the RHS of the formula.
To get an interpretable estimate of the regression coefficient for each part of the composition, the data has to be transformed according to each of these orthonormal basis and a regression model has to be fit to every transformed data set.
A list of type
complmrob with fields
the estimated coefficients
the single regression models (one for each orthonormal basis)
the number of predictor variables
the names of the predictor variables
the index of the relevent coefficient in the single regression models
how the function was called
if an intercept is included
K. Hron, P. Filzmoser & K. Thompson (2012): Linear regression with compositional explanatory variables, Journal of Applied Statistics, DOI:10.1080/02664763.2011.644268
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