Functional Data Analysis and Empirical Dynamics


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Documentation for package ‘fdapace’ version 0.5.9

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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)