# Scalar-on-Function Regression with Measurement Error Correction

## Documentation for package ‘MECfda’ version 0.2.0

- DESCRIPTION file.
- User guides, package vignettes and other documentation.
- Package NEWS.

## Help Pages

basis2fun | From the summation series of a functional basis to function value
basis2fun-method | From the summation series of a functional basis to function value
bsplineSeries2fun | Compute the value of the b-splines summation series at certain points.
bsplineSeries2fun-method | Compute the value of the b-splines summation series at certain points.
bspline_basis | b-spline basis
bspline_basis-class | b-spline basis
bspline_basis_expansion | B-splines basis expansion for functional variable data
bspline_basis_expansion-method | B-splines basis expansion for functional variable data
bspline_series | b-splines summation series.
bspline_series-class | b-splines summation series.
dim-method | Extract dimensionality of functional data.
extractCoef | Method of class Fourier_series to extract Fourier coefficients
extractCoef-method | Method of class Fourier_series to extract Fourier coefficients
fc.beta | Extract the value of coefficient parameter function
fc.beta-method | Extract the value of coefficient parameter function
fcQR | Solve quantile regression models with functional covariate(s).
fcRegression | Solve linear models with functional covariate(s)
FourierSeries2fun | Compute the value of the Fourier summation series
FourierSeries2fun-method | Compute the value of the Fourier summation series
fourier_basis_expansion | Fourier basis expansion for functional variable data
fourier_basis_expansion-method | Fourier basis expansion for functional variable data
Fourier_series | s4 class of Fourier summation series
Fourier_series-class | s4 class of Fourier summation series
FPC_basis_expansion | Functional principal component basis expansion for functional variable data
FPC_basis_expansion-method | Functional principal component basis expansion for functional variable data
functional_variable | Function-valued variable data.
functional_variable-class | Function-valued variable data.
ME.fcLR_IV | Bias correction method of applying linear regression to one functional covariate with measurement error using instrumental variable.
ME.fcQR_CLS | Bias correction method of applying quantile linear regression to dataset with one functional covariate with measurement error using corrected loss score method.
ME.fcQR_IV.SIMEX | Bias correction method of applying quantile linear regression to dataset with one functional covariate with measurement error using instrumental variable.
ME.fcRegression_MEM | Use UP_MEM or MP_MEM substitution to apply (generalized) linear regression with one functional covariate with measurement error.
MECfda.data.sim.0.0 | Simulated data
MECfda.data.sim.0.1 | Simulated data
MECfda.data.sim.0.2 | Simulated data
MECfda.data.sim.0.3 | Simulated data
MECfda.data.sim.1.0 | Simulated data
MECfda.data.sim.1.1 | Simulated data
MECfda.data.sim.1.2 | Simulated data
MECfda.data.sim.1.3 | Simulated data
MECfda_simDataGen_fcReg | Simulation Data Generation: Scalar-on-function Regression
MECfda_simDataGen_ME | Simulation Data Generation: Measurement Error Bias Correction of Scalar-on-function Regression
MEM_X_hat | Get MEM substitution for (generalized) linear regression with one functional covariate with measurement error.
numericBasisSeries2fun | Compute the value of the basis function summation series at certain points.
numericBasisSeries2fun-method | Compute the value of the basis function summation series at certain points.
numericBasis_series | Linear combination of a sequence of basis functions represented numerically
numericBasis_series-class | Linear combination of a sequence of basis functions represented numerically
numeric_basis | Numeric representation of a function basis
numeric_basis-class | Numeric representation of a function basis
numeric_basis_expansion | Numeric basis expansion for functional variable data
numeric_basis_expansion-method | Numeric basis expansion for functional variable data
plot-method | Plot Fourier basis summation series.
plot-method | Plot b-splines basis summation series.
plot-method | Plot numeric basis function summation series.
predict.fcQR | Predicted values based on fcQR object
predict.fcRegression | Predicted values based on fcRegression object