cubic
(Package: coneproj) :
A Data Set for the Example of the Qprog Function
This data set is used for the example of the qprog function.
● Data Source:
CranContrib
● Keywords: data sets
● Alias: cubic
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incr.conc
(Package: coneproj) :
Specify an Increasing and Concave Shape-Restriction in a SHAPEREG Formula
A symbolic routine to define that the mean vector is increasing and concave in a predictor in a formula argument to coneproj.
● Data Source:
CranContrib
● Keywords: shape routine
● Alias: incr.conc
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0 images
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shapereg
(Package: coneproj) :
Shape-Restricted Regression
The regression model y_i = f(t_i) + x_i'β + varepsilon_i, i = 1,…,n is considered, where the only assumptions about f concern its shape. The vector expression for the model is y = θ + Xβ + varepsilon. X represents a parametrically modelled covariate, which could be a categorical covariate or a linear term. The shapereg function allows eight shapes: increasing, decreasing, convex, concave, increasing-convex, increasing-concave, decreasing-convex, and decreasing-concave. This routine employs a single cone projection to find θ and β simultaneously.
● Data Source:
CranContrib
● Keywords: cone projection routines
● Alias: shapereg
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coneA
(Package: coneproj) :
Cone Projection -- Polar Cone
This routine implements the hinge algorithm for cone projection to minimize ||y - θ||^2 over the cone C of the form {θ: Aθ ≥ 0}.
● Data Source:
CranContrib
● Keywords:
● Alias: coneA
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coneB
(Package: coneproj) :
Cone Projection -- Constraint Cone
This routine implements the hinge algorithm for cone projection to minimize ||y - θ||^2 over the cone C of the form {θ: θ = v + ∑ b_iδ_i, i = 1,…,m, b_1,…, b_m ≥ 0}, v is in V.
● Data Source:
CranContrib
● Keywords: cone projection routines
● Alias: coneB
●
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decr.conv
(Package: coneproj) :
Specify a Decreasing and Convex Shape-Restriction in a SHAPEREG Formula
A symbolic routine to define that the mean vector is decreasing and convex in a predictor in a formula argument to coneproj.
● Data Source:
CranContrib
● Keywords: shape routine
● Alias: decr.conv
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0 images
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feet
(Package: coneproj) :
Foot Measurements for Fourth Grade Children
This data set was collected by the first author in a fourth grade classroom in Ann Arbor, MI, October 1997. We use the shapereg function to make a shape-restricted fit to this data set. "Width" is a continuous response variable, "length" is a continuous predictor variable, and "sex" is a categorical covariate. The constraint is that "width" is increasing with respect to "length".
● Data Source:
CranContrib
● Keywords: data sets
● Alias: feet
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0 images
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constreg
(Package: coneproj) :
Constrained Parametric Regression
The least-squares regression model y = Xβ + varepsilon is considered, where the object is to find β to minimize ||y - Xβ||^2, subject to Aβ ≥ 0.
● Data Source:
CranContrib
● Keywords: cone projection routines
● Alias: constreg
●
0 images
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incr.conv
(Package: coneproj) :
Specify an Increasing and Convex Shape-Restriction in a SHAPEREG Formula
A symbolic routine to define that the mean vector is increasing and convex in a predictor in a formula argument to coneproj.
● Data Source:
CranContrib
● Keywords: shape routine
● Alias: incr.conv
●
0 images
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conc
(Package: coneproj) :
Specify a Concave Shape-Restriction in a SHAPEREG Formula
A symbolic routine to define that the mean vector is concave in a predictor in a formula argument to coneproj.
● Data Source:
CranContrib
● Keywords: shape routine
● Alias: conc
●
0 images
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