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fda (version 1.1.1)

Functional Data Analysis

Description

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. They were ported from earlier versions in Matlab and S-PLUS. A manual that describes the use of these functions is available in this library. The library also contains a number of the data sets used in the book along with R code for the analyses that produced many of the figures in the book.

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Version

Install

install.packages('fda')

Monthly Downloads

14,245

Version

1.1.1

License

GPL version 2 or later

Maintainer

S by Jim Ramsey

Last Published

September 17th, 2024

Functions in fda (1.1.1)

B-Spline Penalty Matrix

Functional Canonical Correlation Analysis

Define a Functional Basis Object

Inner products of Functional Data Objects.

create.monomial.basis

Create a Monomial Basis

Define a Linear Differential Operator Object

Center Functional Data

Values of a Monotone Functional Data Object

Confirm Object has Class "fd"

getbasispenalty

Evaluate a Roughness Penalty Matrix

Fourier Basis Function Values

Fourier Penalty Matrix

Plot Cycles for a Periodic Bivariate Functional Data Object

Smooth Data with a Roughness Penalty

Exponential Penalty Matrix

Plot a Functional Data Object With Data

Plot a Basis Object

create.polynomial.basis

Create a Polynomial Basis

Functional Principal Components Analysis

Principal Differential Analysis

Confirm Object is Class "Basisfd"

Evaluate Monomial Roughness Penalty Matrix

create.exponential.basis

Create an Exponential Basis

Compute GCV Criterion

Exponential Basis Function Values

create.constant.basis

Create a Constant Basis

B-spline Basis Function Values

Compute a Probability Density Function

Values of Basis Functions or their Derivatives

Make a Linear Differential Operator Object from a Vector

Plot Principal Component Scores

Power Basis Function Values

Approximate Functional Data Using a Basis

Polygonal Basis Function Values

Polygonal Penalty Matrix

Summarize a Functional Parameter Object

Evaluate Monomial Basis

Convert Smoothing Parameter to Degrees of Freedom

Define a Functional Data Object

Values of a Functional Data Object

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

Mean of Functional Data

Numerical Solution mth Order Differential Equation System

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

Landmark Registration of Functional Observations

Evaluate a Basis Penalty Matrix

create.fourier.basis

Create a Fourier Basis

create.polygonal.basis

Create a Polygonal Basis

smooth.monotone

Monotone Smoothing of Data

Computes Cross-validated Error Sum of Squares for a Functional Regression Model

Summarize a Bivariate Functional Data Object

Register Functional Data Objects Using a Continuous Criterion

Convert Integer to Linear Differential Operator

Sum of Functional Data

Standard Deviation of Functional Data

Variance and Covariance Surfaces for a Functional Data Object

Plot a Functional Data Object

A Functional Regression Analysis of the Concurrent Type

Fit Fully Functional Linear Model

Compute a Derivative of a Functional Data Object

Confirm Object has Class "fdPar"

Define a Functional Parameter Object

Power Penalty Matrix

Rotation of Functional Canonical Components with VARIMAX

Summarize a Functional Data Object

Add Lines from Functional Data to a Plot

Evaluate the Diagonal of a Bivariate Functional Data Object

Compute Inner Products B-spline Expansions.

Summarize a Linear Differential Operator Object

Estimates a Smooth Warping Function

Smooth Data with a Positive Function

create.power.basis

Create a Power Basis Object

Convert Discrete Data to Functional Data

create.bspline.basis

Create a B-spline Basis

Convert Degrees of Freedom to a Smoothing Parameter Value

Evaluate a Positive Functional Data Object

Confirm Object has Class "Lfd"

Rotation of Functional Principal Components with VARIMAX Criterion

Values a Two-argument Functional Data Object

Values of Basis Functions or their Derivatives

Intensity Function for Point Process

Standard Deviation of Functional Data

Smooth a Functional Data Object Using a Roughness Penalty