# Functional Data Analysis and Empirical Dynamics

## Documentation for package ‘fdapace’ version 0.5.9

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

## Help Pages

BwNN | Minimum bandwidth based on kNN criterion.
CheckData | Check data format
CheckOptions | Check option format
ConvertSupport | Convert support of a mu/phi/cov etc. to and from obsGrid and workGrid
CreateBasis | Create an orthogonal basis of K functions in [0, 1], with nGrid points.
CreateBWPlot | Functional Principal Component Analysis Bandwidth Diagnostics plot
CreateCovPlot | Creates a correlation surface plot based on the results from FPCA() or FPCder().
CreateDesignPlot | Create design plots for functional data. See Yao, F., Müller, H.G., Wang, J.L. (2005). Functional data analysis for sparse longitudinal data. J. American Statistical Association 100, 577-590 for interpretation and usage of these plots. This function will open a new device as default.
CreateDiagnosticsPlot | Functional Principal Component Analysis Diagnostics plot
CreateFuncBoxPlot | Create functional boxplot using 'bagplot', 'KDE' or 'pointwise' methodology
CreateModeOfVarPlot | Functional Principal Component Analysis: Mode of variation plot
CreateOutliersPlot | Functional Principal Component or Functional Singular Value Decomposition Scores Plot using 'bagplot' or 'KDE' methodology
CreatePathPlot | Create the fitted sample path plot based on the results from FPCA().
CreateScreePlot | Create the scree plot for the fitted eigenvalues
CreateStringingPlot | Create plots for observed and stringed high dimensional data
cumtrapzRcpp | Cumulative Trapezoid Rule Numerical Integration
DynCorr | Dynamical Correlation
Dyn_test | Bootstrap test of Dynamic Correlation
FAM | Functional Additive Models
FCCor | Calculation of functional correlation between two simultaneously observed processes.
FClust | Functional clustering and identifying substructures of longitudinal data
FCReg | Functional Concurrent Regression using 2D smoothing
fdapace | fdapace: Principal Analysis by Conditional Expectation and Applications in Functional Data Analysis (revised version 16 August 2019)
fitted.FPCA | Fitted functional data from FPCA object
fitted.FPCAder | Fitted functional data for derivatives from the FPCAder object
FLM | Functional Linear Models
FLM1 | Functional Linear Models New
FOptDes | Optimal Designs for Functional and Longitudinal Data for Trajectory Recovery or Scalar Response Prediction
FPCA | Functional Principal Component Analysis
FPCAder | Obtain the derivatives of eigenfunctions/ eigenfunctions of derivatives (note: these two are not the same)
FPCquantile | Conditional Quantile estimation with functional covariates
FSVD | Functional Singular Value Decomposition
FVPA | Functional Variance Process Analysis for dense functional data
GetCovSurface | Covariance Surface
GetCrCorYX | Create cross-correlation matrix from auto- and cross-covariance matrix
GetCrCorYZ | Create cross-correlation matrix from auto- and cross-covariance matrix
GetCrCovYX | Functional Cross Covariance between longitudinal variable Y and longitudinal variable X
GetCrCovYZ | Functional Cross Covariance between longitudinal variable Y and scalar variable Z
GetMeanCI | Bootstrap pointwise confidence intervals for the mean function for densely observed data.
GetMeanCurve | Mean Curve
GetNormalisedSample | Normalise sparse multivariate functional data
GetNormalizedSample | Normalise sparse multivariate functional data
kCFC | Functional clustering and identifying substructures of longitudinal data using kCFC.
Lwls1D | One dimensional local linear kernel smoother
Lwls2D | Two dimensional local linear kernel smoother.
Lwls2DDeriv | Two dimensional local linear kernel smoother to target derivatives.
MakeBWtoZscore02y | Z-score body-weight for age 0 to 24 months based on WHO standards
MakeFPCAInputs | Format FPCA input
MakeGPFunctionalData | Create a Dense Functional Data sample for a Gaussian process
MakeHCtoZscore02y | Z-score head-circumference for age 0 to 24 months based on WHO standards
MakeLNtoZscore02y | Z-score height for age 0 to 24 months based on WHO standards
MakeSparseGP | Create a sparse Functional Data sample for a Gaussian Process
medfly25 | Number of eggs laid daily from medflies
MultiFAM | Functional Additive Models with Multiple Predictor Processes
NormCurvToArea | Normalise a curve to a particular area, by multiplication with a factor
plot.FPCA | Functional Principal Component Analysis Diagnostics plot
predict.FPCA | Predict FPC scores and curves for a new sample given an FPCA object
print.FPCA | Print an FPCA object
print.FSVD | Print an FSVD object
print.WFDA | Print a WFDA object
SBFitting | Iterative Smooth Backfitting Algorithm
SelectK | Selects number of functional principal components for given FPCA output and selection criteria
SetOptions | Set the PCA option list
Sparsify | Sparsify densely observed functional data
str.FPCA | Compactly display the structure of an FPCA object
Stringing | Stringing for High-Dimensional data
trapzRcpp | Trapezoid Rule Numerical Integration
TVAM | Iterative Smooth Backfitting Algorithm
VCAM | Sieve estimation: B-spline based estimation procedure for time-varying additive models. The VCAM function can be used to perform function-to-scalar regression.
WFDA | Time-Warping in Functional Data Analysis: Pairwise curve synchronization for functional data
Wiener | Simulate a standard Wiener processes (Brownian motions)