Functional Data Analysis
Smooth a discrete surface over a rectangular lattice
Polynomial extrapolation for a converging sequence of one or more valu...
Polygonal Basis Function Values
Smooth a Functional Data Object Using an Indirectly Specified Roughnes...
Smooth a functional data object using a directly specified roughness p...
Monotone Smoothing of Data
Estimates a Smooth Warping Function Mapping an Interval into Another
Smooth Data with a Positive Function
Smooth the mean function of sparse data
Fit data with surprisal smoothing.
Creates a list of sparse data from a matrix
Creates a matrix of sparse data with NAs out of a list
Polygonal Penalty Matrix
Power Basis Function Values
Power Penalty Matrix
Convert a B-spline function to piece-wise polynomial form
Predict method for Functional Regression
Approximate Functional Data Using a Basis
Decomposition for Amplitude and Phase Variation
Arithmatic on functional basis objects
Arithmetic on functional data ('fd') objects
Reshape a vector or array to have 3 dimensions.
Convert a spline object to class 'fd'
as.POXIXct for number of seconds since the start of 1970.
Mark Intervals on a Plot Axis
Product of two basisfd objects
Define a Functional Basis Object
Create a bivariate functional data object
Define a Bivariate Functional Parameter Object
B-Spline Penalty Matrix
B-spline Basis Function Values
Functional Canonical Correlation Analysis
Center Functional Data
Compare dimensions and dimnames of arrays
Does an argument satisfy required conditions?
Extract functional coefficients
Correlation matrix from functional data object(s)
Estimate of the covariance surface
Test if running as CRAN
Create Basis Set for Functional Data Analysis
Create a B-spline Basis
Create a Constant Basis
Create an Exponential Basis
Create a Fourier Basis
Create a Monomial Basis
Create a Polygonal Basis
Create a Power Basis Object
Continuously Stirred Tank Reactor
Compute a Cumulative Distribution Functional Data Object
Plot Cycles for a Periodic Bivariate Functional Data Object
Create smooth functions that fit scatterplot data.
Compute a Probability Density Function
Compute a Derivative of a Functional Data Object
Degrees of Freedom for Residuals from a Functional Regression
Convert Degrees of Freedom to a Smoothing Parameter Value
Get subdirectories
Stability Analysis for Principle Differential Analysis
Eigenanalysis preserving dimnames
Predicting electricity demand in Adelaide from temperature
Values of Basis Functions or their Derivatives
Values a Two-argument Functional Data Object
Values of a Functional Data Object
Values of a Monotone Functional Data Object
Evaluate a Basis Penalty Matrix
Evaluate a Positive Functional Data Object
Values of a Functional Data Object Defining Surprisal Curves.
Evaluate the Diagonal of a Bivariate Functional Data Object
Exponential Basis Function Values
Powers of a functional data ('fd') object
Exponential Penalty Matrix
Functional Boxplots
Define a Functional Data Object
Convert a univariate functional data object to a list
Functions for statistical analyses of functions
Extract plot labels and names for replicates and variables
Define a Functional Parameter Object
Convert fd or basisfd Objects to fdPar Objects
Fourier Basis Function Values
Fourier Penalty Matrix
Permutation F-test for functional linear regression.
Quadrature points and weights for Simpson's rule
Computes Cross-validated Error Sum of Integrated Squared Errors for a ...
Functional Regression Analysis
Compute Standard errors of Coefficient Functions Estimated by Function...
F-statistic for functional linear regression.
Generalized eigenanalysis
Values of Basis Functions or their Derivatives
Evaluate a Roughness Penalty Matrix
Extract the range from a basis object
Compute Inner Products B-spline Expansions.
Inner products of Functional Data Objects.
Convert Integer to Linear Differential Operator
Intensity Function for Point Process
Confirm Object is Class "Basisfd"
Confirm that two objects of class "Basisfd" are identical
Confirm Object has Class "fd"
Confirm Object has Class "fdPar"
Confirm Object has Class "fdSmooth"
Confirm Object has Class "Lfd"
Extract the knots from a function basis or data object
Convert Smoothing Parameter to Degrees of Freedom
Compute GCV Criterion
Landmark Registration of Functional Observations with Differing Ranges
Define a Linear Differential Operator Object
Add Lines from Functional Data to a Plot
Fit Fully Functional Linear Model
Search along a line for a minimum within an optimisation algorithm.
Plot Columns of Matrices
Mean of Functional Data
Evaluate the a monotone function
Evaluate the gradient of a monotone function
Evaluate the Hessian matrix of a monotone function
Evaluate Monomial Basis
Evaluate Monomial Roughness Penalty Matrix
Order of a B-spline
Add names to an object
Numerical Solution mth Order Differential Equation System
Functional Principal Components Analysis
Estimate the functional principal components
Principal Differential Analysis
Stability Analysis for Principle Differential Analysis
Phase-plane plot
Plot a Basis Object
Plot Functional Canonical Correlation Weight Functions
Plot a Functional Data Object
Plot a Linear Differential Operator Object
Plot Functional Principal Components
Plot Principle Differential Analysis Components
Plot a functional parameter object with confidence limits
Plot a Functional Data Object With Data
Plot Principal Component Scores
Reconstruct data curves using functional principal components
Register Functional Data Objects Using a Continuous Criterion
Register Functional Data Objects with Pre-Computed Warping Functions
Estimates of functional Principal Component scores through PACE
Standard Deviation of Functional Data
Construct a functional data object by smoothing data using a roughness...
Construct a functional data object by smoothing data using a roughness...
Smooth Data Using a Directly Specified Roughness Penalty
Check a step size value for being within parameter limits.
Compute a new step size for a linear search within an optimization alg...
Sum of Functional Data
Summarize a Functional Data Object
Summarize a Bivariate Functional Data Object
Summarize a Functional Data Object
Summarize a Functional Parameter Object
Summarize a Linear Differential Operator Object
Evaluate the fit of surprisal curves to binned psychometric data.
solve(A, B) where A is symmetric
Permutation t-test for two groups of functional data objects.
Approximate the functional inner product of two functional data object...
Variance, Covariance, and Correlation Surfaces for Functional Data Obj...
Rotation of Functional Canonical Components with VARIMAX
Rotation of Functional Principal Components with VARIMAX Criterion
Rotate a Matrix of Component Loadings using the VARIMAX Criterion
Make a Linear Differential Operator Object from a Vector
Check a vector of weights
Check Data Arrays for Smoothing Functions
Orthonormal Matrix with Columns Summing to Zero
Does the range of the input contain 0?
These functions were developed to support functional data analysis as described in Ramsay, J. O. and Silverman, B. W. (2005) Functional Data Analysis. New York: Springer and in Ramsay, J. O., Hooker, Giles, and Graves, Spencer (2009). Functional Data Analysis with R and Matlab (Springer). The package includes data sets and script files working many examples including all but one of the 76 figures in this latter book. Matlab versions are available by ftp from <https://www.psych.mcgill.ca/misc/fda/downloads/FDAfuns/>.