bcreg: Linear regression model with the Box-Cox Transformation.
Description
bcreg returns the maximum likelihood estimates for parameters of
the linear regression models with the Box-Cox transformation (Box and Cox,
1964).
Usage
bcreg(formula, data, lmdint = c(-3, 3))
Arguments
formula
a two-sided linear formula object describing the model, with
the response on the left of a ~ operator and the terms, separated by +
operators, on the right.
data
a data frame in which to interpret the variables named in the
formula.
lmdint
a vector containing the end-points of the interval to be
searched for a transformation parameter. Default is c(-3, 3).
Value
bcreg returns a list including following components:
lambda
a numeric value with the estimate of
the transformation parameter.
beta
a vector with the estimates of the regression
parameters.
sigma
a numeric value with the estimate of the scale
parameter.
betainf
a data frame with inference results for beta
under the assumption that lambda is known.
lik
a numeric value with the maximized likelihood.
lmObject
an object of "lm" containing the results of
lm function on the transformed scale
References
Box, G.E.P. and Cox, D.R. (1964). An analysis of transformations
(with discussion).
Journals of the Royal Statistical Society, Series B, 26,
211-246, https://doi.org/10.1111/j.2517-6161.1964.tb00553.x.