Multidimensional Penalized Splines for Survival and Net Survival Models


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Documentation for package ‘survPen’ version 1.6.0

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%cross% Matrix cross-multiplication between two matrices
%mult% Matrix multiplication between two matrices
%vec% Matrix multiplication between a matrix and a vector
colSums2 colSums of a matrix
constraint Sum-to-zero constraint
cor.var Implementation of the corrected variance Vc
crs Bases for cubic regression splines (equivalent to "cr" in 'mgcv')
crs.FP Penalty matrix constructor for cubic regression splines
datCancer Patients diagnosed with cervical cancer
deriv_R Derivative of a Choleski factor
design.matrix Design matrix for the model needed in Gauss-Legendre quadrature
grad_rho Gradient vector of LCV and LAML wrt rho (log smoothing parameters)
Hess_rho Hessian matrix of LCV and LAML wrt rho (log smoothing parameters)
instr Position of the nth occurrence of a string in another one
inv.repam Reverses the initial reparameterization for stable evaluation of the log determinant of the penalty matrix
model.cons Design and penalty matrices for the model
NR.beta Inner Newton-Raphson algorithm for regression parameters estimation
NR.rho Outer Newton-Raphson algorithm for smoothing parameters estimation via LCV or LAML optimization
predict.survPen Hazard and Survival prediction from fitted 'survPen' model
print.summary.survPen print summary for a 'survPen' fit
pwcst Defining piecewise constant (excess) hazard in survPen formulae
rd Defining random effects in survPen formulae
repam Applies initial reparameterization for stable evaluation of the log determinant of the penalty matrix
smf Defining smooths in survPen formulae
smooth.cons Design and penalty matrices of penalized splines in a smooth.spec object
smooth.cons.integral Design matrix of penalized splines in a smooth.spec object for Gauss-Legendre quadrature
smooth.spec Covariates specified as penalized splines
summary.survPen Summary for a 'survPen' fit
survPen (Excess) hazard model with (multidimensional) penalized splines and integrated smoothness estimation
survPen.fit (Excess) hazard model with multidimensional penalized splines for given smoothing parameters
survPenObject Fitted survPen object
tensor Defining smooths in survPen formulae
tensor.in tensor model matrix for two marginal bases
tensor.prod.S Tensor product for penalty matrices
tensor.prod.X tensor model matrix
tint Defining smooths in survPen formulae