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fda (version 2.1.1)

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

13,909

Version

2.1.1

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

September 17th, 2024

Functions in fda (2.1.1)

Montreal Daily Temperature

Evaluate a Positive Functional Data Object

Compute a Derivative of a Functional Data Object

Hip and knee angle while walking

Correlation matrix from functional data object(s)

Continuously Stirred Temperature Reactor

create.exponential.basis

Create an Exponential Basis

Convert a spline object to class 'fd'

B-spline Basis Function Values

Dimension of a functional data object

B-Spline Penalty Matrix

create.constant.basis

Create a Constant Basis

create.bspline.basis

Create a B-spline Basis

Evaluate a Basis Penalty Matrix

Permutation F-test for functional linear regression.

create.power.basis

Create a Power Basis Object

CanadianWeather

Canadian average annual weather cycle

Extract the knots from a function basis or data object

Values of a Functional Data Object

Arithmetic on functional data ('fd') objects

create.monomial.basis

Create a Monomial Basis

Compare dimensions and dimnames of arrays

Statistical Science in Chinese

F-statistic for functional linear regression.

FDA internal functions

Convert a functional data or functional basis object to a function

Extract the range from a basis object

Values of Basis Functions or their Derivatives

Swap argvals with y if the latter is simpler.

Mark Intervals on a Plot Axis

Define a Linear Differential Operator Object

Plot Cycles for a Periodic Bivariate Functional Data Object

Exponential Penalty Matrix

Create a functional data object from data

Taylor representation of a B-Spline

Define a Functional Basis Object

Functional Data Analysis in R

Plot a functional parameter object with confidence limits

Fourier Penalty Matrix

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

Decomposition for Amplitude and Phase Variation

Eigenanalysis preserving dimnames

Numerical Solution mth Order Differential Equation System

Compute GCV Criterion

dateAccessories

Numeric and character vectors to facilitate working with dates

checkLogicalInteger

Does an argument satisfy required conditions?

Center Functional Data

Depricated: use 'Data2fd'

predict.lmeWinsor

Predict method for Winsorized linear model fits with mixed effects

create.polygonal.basis

Create a Polygonal Basis

Values a Two-argument Functional Data Object

Values of Basis Functions or their Derivatives

Copy a file with a default 'to' name

Plot a Functional Data Object

Functional Principal Components Analysis

Exponential Basis Function Values

Cursive handwriting samples

Fourier Basis Function Values

Confirm Object has Class "fd"

Inner products of Functional Data Objects.

Tibia Length for One Baby

Reshape a vector or array to have 3 dimensions.

arithmetic.basisfd

Arithmatic on functional basis objects

Stability Analysis for Principle Differential Analysis

predict.lmWinsor

Predict method for Winsorized linear model fits

getbasispenalty

Evaluate a Roughness Penalty Matrix

Intensity Function for Point Process

Smooth a discrete surface over a rectangular lattice

Berkeley Growth Study data

create.polynomial.basis

Create a Polynomial Basis

Evaluate Monomial Roughness Penalty Matrix

Confirm Object has Class "fdPar"

Create a bivariate functional data object

Compute a Probability Density Function

Regina Daily Precipitation

Fit Fully Functional Linear Model

basisfd.product

Product of two basisfd objects

Expectation of basis functions

Functional Canonical Correlation Analysis

Nondurable goods index

Order of a B-spline

Define a Functional Parameter Object

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

Confirm Object has Class "Lfd"

Check a vector of weights

df.residual.fRegress

Degress of Freedom for Residuals from a Functional Regression

Confirm Object is Class "Basisfd"

Mean of Functional Data

Computes Cross-validated Error Sum of Integrated Squared Errors for a Functional Regression Model

Stability Analysis for Principle Differential Analysis

Extract functional coefficients

Evaluate Monomial Basis

Add Lines from Functional Data to a Plot

Extract plot labels and names for replicates and variables

predict.fRegress

Predict method for Functional Regression

Convert Degrees of Freedom to a Smoothing Parameter Value

Get subdirectories

Add names to an object

Winsorized Regression

Functional Regression Analysis

Convert Smoothing Parameter to Degrees of Freedom

Summarize a Functional Parameter Object

create.fourier.basis

Create a Fourier Basis

Winsorized Regression with mixed effects

Landmark Registration of Functional Observations

Phase-plane plot

Rotation of Functional Principal Components with VARIMAX Criterion

Values of a Monotone Functional Data Object

Create Basis Set for Functional Data Analysis

Plot Principle Differential Analysis Components

Plot a Functional Data Object With Data

Plot a Linear Differential Operator Object

Approximate Functional Data Using a Basis

Plot a Basis Object

Standard Deviation of Functional Data

Plot Functional Principal Components

summary.basisfd

Summarize a Functional Data Object

residuals.fRegress

Residuals from a Functional Regression

Permutation t-test for two groups of functional data objects.

Polygonal Penalty Matrix

Power Penalty Matrix

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

Add 'fdaM' to the Matlab path

Sum of Functional Data

Support functions for lmWinsor

Register Functional Data Objects with Pre-Computed Warping Functions

Summarize a Linear Differential Operator Object

singular value decomposition with automatic error handling

Plot Principal Component Scores

growth in height of one 10-year-old boy

Polygonal Basis Function Values

Principal Differential Analysis

Reflux and tray level in a refinery

pinch force data

Make a Linear Differential Operator Object from a Vector

Register Functional Data Objects Using a Continuous Criterion

melanoma 1936-1972

Quadrature points and weights for Simpson's rule

Smooth Data with a Positive Function

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

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

Summarize a Functional Data Object

Rotation of Functional Canonical Components with VARIMAX

Summarize a Bivariate Functional Data Object

Evaluate the Diagonal of a Bivariate Functional Data Object

Smooth Data with an Indirectly Specified Roughness Penalty

smooth.monotone

Monotone Smoothing of Data

Define a Functional Data Object

Convert Integer to Linear Differential Operator

Compute Inner Products B-spline Expansions.

Estimates a Smooth Warping Function

Power Basis Function Values

Does the range of the input contain 0?

Smooth a functional data object using a directly specified roughness penalty