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fda (version 1.2.2)

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

13,909

Version

1.2.2

License

GPL version 2 or later

Maintainer

S by Jim Ramsey

Last Published

September 17th, 2024

Functions in fda (1.2.2)

Create a bivariate functional data object

A Functional Regression Analysis of the Concurrent Type

Evaluate a Basis Penalty Matrix

Exponential Basis Function Values

Convert Degrees of Freedom to a Smoothing Parameter Value

Expectatation of basis functions

create.constant.basis

Create a Constant Basis

Power Basis Function Values

Continuously Stirred Temperature Reactor

Compute a Derivative of a Functional Data Object

basisfd.product

Product of two basisfd objects

Define a Functional Basis Object

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

Confirm Object has Class "fd"

Plot a Functional Data Object With Data

Center Functional Data

Principal Differential Analysis

CanadianWeather

Canadian average annual weather cycle

Polygonal Penalty Matrix

Add names to an object

getbasispenalty

Evaluate a Roughness Penalty Matrix

create.exponential.basis

Create an Exponential Basis

Values of a Monotone Functional Data Object

Functional Canonical Correlation Analysis

Correlation matrix from functional data object(s)

Smooth a functional data object using a directly specified roughness penalty

Plane-plane plot

Mark Intervals on a Plot Axis

FDA internal functions

Sum of Functional Data

Nonlinear Least Squares

Values of Basis Functions or their Derivatives

Define a Functional Parameter Object

summary.basisfd

Summarize a Functional Data Object

Define a Linear Differential Operator Object

smooth.monotone

Monotone Smoothing of Data

Make a Linear Differential Operator Object from a Vector

Numerical Solution mth Order Differential Equation System

Fourier Penalty Matrix

create.polygonal.basis

Create a Polygonal Basis

Plot a Functional Data Object

create.bspline.basis

Create a B-spline Basis

Summarize a Functional Parameter Object

Intensity Function for Point Process

Values of Basis Functions or their Derivatives

Evaluate the Diagonal of a Bivariate Functional Data Object

Plot a Basis Object

Landmark Registration of Functional Observations

create.polynomial.basis

Create a Polynomial Basis

Evaluate Monomial Basis

Summarize a Bivariate Functional Data Object

Compute Inner Products B-spline Expansions.

Arithmetic on functional data ('fd') objects

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

Variance, Covariance, and Correlation Surfaces for Functional Data Object(s)

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

Smooth Data with a Positive Function

Functional Principal Components Analysis

Convert Integer to Linear Differential Operator

Exponential Penalty Matrix

Convert Smoothing Parameter to Degrees of Freedom

Summarize a Linear Differential Operator Object

Evaluate Monomial Roughness Penalty Matrix

Compute a Probability Density Function

arithmetic.basisfd

Arithmatic on functional basis objects

Evaluate a Positive Functional Data Object

Confirm Object has Class "Lfd"

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

Mean of Functional Data

Quadrature points and weights for Simpson's rule

Smooth Data with an Indirectly Specified Roughness Penalty

Standard Deviation of Functional Data

Approximate Functional Data Using a Basis

Power Penalty Matrix

create.monomial.basis

Create a Monomial Basis

Estimates a Smooth Warping Function

Fourier Basis Function Values

B-Spline Penalty Matrix

Confirm Object has Class "fdPar"

Summarize a Functional Data Object

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

Define a Functional Data Object

Does the range of the input contain 0?

Rotation of Functional Canonical Components with VARIMAX

Plot Principal Component Scores

Register Functional Data Objects Using a Continuous Criterion

B-spline Basis Function Values

create.power.basis

Create a Power Basis Object

Convert Discrete Data to Functional Data

Values a Two-argument Functional Data Object

Hip and knee angle while walking

Inner products of Functional Data Objects.

Compute GCV Criterion

Rotation of Functional Principal Components with VARIMAX Criterion

Polygonal Basis Function Values

Add Lines from Functional Data to a Plot

Plot Cycles for a Periodic Bivariate Functional Data Object

create.fourier.basis

Create a Fourier Basis

Values of a Functional Data Object

Fit Fully Functional Linear Model

Confirm Object is Class "Basisfd"

singular value decomposition with automatic error handling

melanoma 1936-1972

Cursive handwriting samples

monthAccessories

Numeric and character vectors to facilitate working with dates

Berkeley Growth Study data

Nondurable goods index

Reflux and tray level in a refinery

pinch force data

growth in height of one 10-year-old boy