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fda (version 1.2.0)

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

15,929

Version

1.2.0

License

GPL version 2 or later

Maintainer

S by Jim Ramsey

Last Published

September 17th, 2024

Functions in fda (1.2.0)

Define a Functional Parameter Object

Quadrature points and weights for Simpson's rule

summary.basisfd

Summarize a Functional Data Object

CanadianWeather

Canadian average annual weather cycle

Compute Inner Products B-spline Expansions.

Convert Discrete Data to Functional Data

Define a Linear Differential Operator Object

Evaluate a Positive Functional Data Object

Correlation matrix from functional data object(s)

Convert Integer to Linear Differential Operator

Create a bivariate functional data object

create.polynomial.basis

Create a Polynomial Basis

Exponential Penalty Matrix

Power Penalty Matrix

Values of Basis Functions or their Derivatives

Smooth Data with an Indirectly Specified Roughness Penalty

create.bspline.basis

Create a B-spline Basis

Define a Functional Data Object

Fourier Penalty Matrix

create.power.basis

Create a Power Basis Object

Compute a Derivative of a Functional Data Object

Confirm Object has Class "fdPar"

Center Functional Data

Confirm Object has Class "Lfd"

create.constant.basis

Create a Constant Basis

Compute a Probability Density Function

create.fourier.basis

Create a Fourier Basis

Sum of Functional Data

Evaluate the Diagonal of a Bivariate Functional Data Object

Confirm Object has Class "fd"

B-spline Basis Function Values

Summarize a Bivariate Functional Data Object

Values a Two-argument Functional Data Object

Add names to an object

Make a Linear Differential Operator Object from a Vector

Expectatation of basis functions

create.monomial.basis

Create a Monomial Basis

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

Evaluate Monomial Basis

FDA internal functions

Values of a Monotone Functional Data Object

Intensity Function for Point Process

Estimates a Smooth Warping Function

Plot Principal Component Scores

Define a Functional Basis Object

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

Register Functional Data Objects Using a Continuous Criterion

Values of Basis Functions or their Derivatives

Fit Fully Functional Linear Model

Confirm Object is Class "Basisfd"

Compute GCV Criterion

Plot a Functional Data Object

create.exponential.basis

Create an Exponential Basis

getbasispenalty

Evaluate a Roughness Penalty Matrix

Convert Smoothing Parameter to Degrees of Freedom

Plane-plane plot

Hip and knee angle while walking

Power Basis Function Values

Polygonal Basis Function Values

Standard Deviation of Functional Data

Fourier Basis Function Values

B-Spline Penalty Matrix

Rotation of Functional Canonical Components with VARIMAX

Summarize a Functional Data Object

Mean of Functional Data

Summarize a Functional Parameter Object

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

Rotation of Functional Principal Components with VARIMAX Criterion

Plot a Functional Data Object With Data

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

Numerical Solution mth Order Differential Equation System

Plot Cycles for a Periodic Bivariate Functional Data Object

create.polygonal.basis

Create a Polygonal Basis

Landmark Registration of Functional Observations

Functional Canonical Correlation Analysis

A Functional Regression Analysis of the Concurrent Type

Smooth Data with a Positive Function

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

Summarize a Linear Differential Operator Object

Arithmatic on functional objects

Does the range of the input contain 0?

Inner products of Functional Data Objects.

Smooth a functional data object using a directly specified roughness penalty

Mark Intervals on a Plot Axis

Principal Differential Analysis

Plot a Basis Object

basisfd.product

Product of two basisfd objects

Polygonal Penalty Matrix

Values of a Functional Data Object

Convert Degrees of Freedom to a Smoothing Parameter Value

Approximate Functional Data Using a Basis

Add Lines from Functional Data to a Plot

Functional Principal Components Analysis

Evaluate a Basis Penalty Matrix

Exponential Basis Function Values

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

Evaluate Monomial Roughness Penalty Matrix

smooth.monotone

Monotone Smoothing of Data

growth in height of one 10-year-old boy

melanoma 1936-1972

monthAccessories

Numeric and character vectors to facilitate working with dates

pinch force data

Reflux and tray level in a refinery

Berkeley Growth Study data

Cursive handwriting samples

Nondurable goods index