ao: Transformations
In Qtools: Utilities for Quantiles

Description Usage Arguments Details Value Author(s) References See Also

Functions used in quantile regression transformation models

ao(theta, lambda, symm = TRUE, omega = 0.001)
invao(x, lambda, symm = TRUE, replace = TRUE)
bc(x, lambda)
invbc(x, lambda, replace = TRUE)
mcjI(x, lambda, symm = TRUE, dbounded = FALSE, omega = 0.001)
invmcjI(x, lambda, symm = TRUE, dbounded = FALSE)
mcjII(x, lambda, delta, dbounded = FALSE, omega = 0.001)
invmcjII(x, lambda, delta, dbounded = FALSE)

`x, theta`	numeric vector of singly (`x`) or doubly (`theta`) bounded observations; `theta` must be between 0 and 1 (see `map` to map generic [a,b] intervals to [0,1]).
`lambda, delta`	transformation parameters.
`symm`	logical flag. If `TRUE` (default) a symmetric transformation is used.
`dbounded`	logical flag. If `TRUE` the argument `x` is assumed to be bounded between 0 and 1.
`omega`	small constant to avoid numerical problems when `theta` is exactly 0 or 1.
`replace`	logical flag. If `TRUE` (default), values that are outside the admissible range after the Box-Cox or the Aranda-Ordaz back-transformations are replaced by the range bounds.

These functions transform (back-transform) x or theta conditional on the parameters lambda and theta, using the Box–Cox (bc), Aranda-Ordaz (ao), Proposal I (mcjI) and Proposal II (mcjII) transformations.

Transformed or back-transformed values.

Marco Geraci

Aranda-Ordaz FJ. On two families of transformations to additivity for binary response data. Biometrika 1981;68(2):357-363.

Box GEP, Cox DR. An analysis of transformations. Journal of the Royal Statistical Society Series B-Statistical Methodology 1964;26(2):211-252.

Geraci M and Jones MC. Improved transformation-based quantile regression. Canadian Journal of Statistics 2015;43(1):118-132.

Jones MC. Connecting distributions with power tails on the real line, the half line and the interval. International Statistical Review 2007;75(1):58-69.

tsrq, tsrq2, rcrq, nlrq2

Qtools documentation built on May 2, 2019, 6:09 p.m.