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% File src/library/splines/man/bs.Rd
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% File src/library/splines/man/bs.Rd
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% Part of the R package, http://www.R-project.org
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% Part of the R package, http://www.R-project.org
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% Copyright 1995-2012 R Core Team
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% Copyright 1995-2013 R Core Team
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% Distributed under GPL 2 or later
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% Distributed under GPL 2 or later
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\name{bs}
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\name{bs}
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\alias{bs}
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\alias{bs}
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\title{B-Spline Basis for Polynomial Splines}
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\title{B-Spline Basis for Polynomial Splines}
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\item{Boundary.knots}{boundary points at which to anchor the B-spline
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\item{Boundary.knots}{boundary points at which to anchor the B-spline
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basis (default the range of the data). If both \code{knots} and
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basis (default the range of the data). If both \code{knots} and
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\code{Boundary.knots} are supplied, the basis parameters do not
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\code{Boundary.knots} are supplied, the basis parameters do not
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depend on \code{x}. Data can extend beyond \code{Boundary.knots}.}
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depend on \code{x}. Data can extend beyond \code{Boundary.knots}.}
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}
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}
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\details{
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\code{bs} is based on the function \code{\link{spline.des}}.
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It generates a basis matrix for
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representing the family of piecewise polynomials with the specified
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interior knots and degree, evaluated at the values of \code{x}. A
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primary use is in modeling formulas to directly specify a piecewise
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polynomial term in a model.
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}
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\value{
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\value{
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A matrix of dimension \code{c(length(x), df)}, where either \code{df}
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A matrix of dimension \code{c(length(x), df)}, where either \code{df}
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was supplied or if \code{knots} were supplied, \code{df =
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was supplied or if \code{knots} were supplied, \code{df =
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length(knots) + degree} plus one if there is an intercept. Attributes
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length(knots) + degree} plus one if there is an intercept. Attributes
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are returned that correspond to the arguments to \code{bs}, and
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are returned that correspond to the arguments to \code{bs}, and
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explicitly give the \code{knots}, \code{Boundary.knots} etc for use by
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explicitly give the \code{knots}, \code{Boundary.knots} etc for use by
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\code{predict.bs()}.
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\code{predict.bs()}.
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\code{bs()} is based on the function \code{\link{spline.des}()}.
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It generates a basis matrix for
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representing the family of piecewise polynomials with the specified
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interior knots and degree, evaluated at the values of \code{x}. A
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primary use is in modeling formulas to directly specify a piecewise
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polynomial term in a model.
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}
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}
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\seealso{
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\seealso{
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\code{\link{ns}}, \code{\link{poly}}, \code{\link{smooth.spline}},
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\code{\link{ns}}, \code{\link{poly}}, \code{\link{smooth.spline}},
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\code{\link{predict.bs}}, \code{\link{SafePrediction}}
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\code{\link{predict.bs}}, \code{\link{SafePrediction}}
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}
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}
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