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fda (version 1.2.3)

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

16,499

Version

1.2.3

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

September 17th, 2024

Functions in fda (1.2.3)

Define a Functional Basis Object

Cursive handwriting samples

Evaluate a Basis Penalty Matrix

Convert Discrete Data to Functional Data

Plot a Basis Object

Values a Two-argument Functional Data Object

create.fourier.basis

Create a Fourier Basis

Mark Intervals on a Plot Axis

basisfd.product

Product of two basisfd objects

Power Basis Function Values

Arithmetic on functional data ('fd') objects

CanadianWeather

Canadian average annual weather cycle

create.exponential.basis

Create an Exponential Basis

Expectatation of basis functions

B-Spline Penalty Matrix

Continuously Stirred Temperature Reactor

create.monomial.basis

Create a Monomial Basis

Define a Linear Differential Operator Object

Center Functional Data

monthAccessories

Numeric and character vectors to facilitate working with dates

Compute a Derivative of a Functional Data Object

Fourier Basis Function Values

Create a bivariate functional data object

Values of a Monotone Functional Data Object

arithmetic.basisfd

Arithmatic on functional basis objects

FDA internal functions

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

Plot a Functional Data Object With Data

Phase-plane plot

Berkeley Growth Study data

Compute GCV Criterion

Values of Basis Functions or their Derivatives

Confirm Object is Class "Basisfd"

Exponential Penalty Matrix

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

Confirm Object has Class "fd"

Power Penalty Matrix

Hip and knee angle while walking

pinch force data

Principal Differential Analysis

create.polynomial.basis

Create a Polynomial Basis

Evaluate Monomial Roughness Penalty Matrix

Compute a Probability Density Function

Functional Principal Components Analysis

create.constant.basis

Create a Constant Basis

Nonlinear Least Squares

Smooth a functional data object using a directly specified roughness penalty

Confirm Object has Class "fdPar"

Add names to an object

Mean of Functional Data

Numerical Solution mth Order Differential Equation System

Polygonal Penalty Matrix

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

create.bspline.basis

Create a B-spline Basis

Extract the range from a basis object

Evaluate Monomial Basis

Approximate Functional Data Using a Basis

Convert Smoothing Parameter to Degrees of Freedom

Nondurable goods index

Plot Cycles for a Periodic Bivariate Functional Data Object

Standard Deviation of Functional Data

Evaluate the Diagonal of a Bivariate Functional Data Object

Values of a Functional Data Object

Define a Functional Data Object

Values of Basis Functions or their Derivatives

Landmark Registration of Functional Observations

create.polygonal.basis

Create a Polygonal Basis

Summarize a Bivariate Functional Data Object

singular value decomposition with automatic error handling

summary.basisfd

Summarize a Functional Data Object

melanoma 1936-1972

Evaluate a Positive Functional Data Object

Fourier Penalty Matrix

create.power.basis

Create a Power Basis Object

Smooth Data with a Positive Function

Convert Degrees of Freedom to a Smoothing Parameter Value

Define a Functional Parameter Object

Does the range of the input contain 0?

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

Polygonal Basis Function Values

Plot Functional Principal Components

Make a Linear Differential Operator Object from a Vector

Plot a Functional Data Object

Reflux and tray level in a refinery

Plot Principal Component Scores

Rotation of Functional Principal Components with VARIMAX Criterion

Sum of Functional Data

smooth.monotone

Monotone Smoothing of Data

Exponential Basis Function Values

growth in height of one 10-year-old boy

Summarize a Functional Parameter Object

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

Register Functional Data Objects Using a Continuous Criterion

Smooth Data with an Indirectly Specified Roughness Penalty

Summarize a Linear Differential Operator Object

Estimates a Smooth Warping Function

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

B-spline Basis Function Values

Correlation matrix from functional data object(s)

Compute Inner Products B-spline Expansions.

Convert Integer to Linear Differential Operator

Inner products of Functional Data Objects.

Functional Canonical Correlation Analysis

getbasispenalty

Evaluate a Roughness Penalty Matrix

A Functional Regression Analysis of the Concurrent Type

Intensity Function for Point Process

Quadrature points and weights for Simpson's rule

Rotation of Functional Canonical Components with VARIMAX

Summarize a Functional Data Object

Confirm Object has Class "Lfd"

Add Lines from Functional Data to a Plot

Fit Fully Functional Linear Model