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fda (version 5.1.9)

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 and in Ramsay, J. O., Hooker, Giles, and Graves, Spencer (2009). Functional Data Analysis with R and Matlab (Springer). The package includes data sets and script files working many examples including all but one of the 76 figures in this latter book. Matlab versions are available by ftp from .

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Version

Install

install.packages('fda')

Monthly Downloads

16,499

Version

5.1.9

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

December 16th, 2020

Functions in fda (5.1.9)

Permutation F-test for functional linear regression.

F-statistic for functional linear regression.

Define a Linear Differential Operator Object

Create a functional data object from data

Continuously Stirred Tank Reactor

Decomposition for Amplitude and Phase Variation

Eigenanalysis preserving dimnames

Arithmetic on functional data ('fd') objects

CanadianWeather

Canadian average annual weather cycle

Predicting electricity demand in Adelaide from temperature

Test if running as CRAN

Mark Intervals on a Plot Axis

as.POXIXct for number of seconds since the start of 1970.

B-spline Basis Function Values

Reshape a vector or array to have 3 dimensions.

Define a Bivariate Functional Parameter Object

Convert a spline object to class 'fd'

basisfd.product

Product of two basisfd objects

Center Functional Data

Regina Daily Precipitation

Create a bivariate functional data object

Compare dimensions and dimnames of arrays

Montreal Daily Temperature

Statistical Science in Chinese

arithmetic.basisfd

Arithmatic on functional basis objects

B-Spline Penalty Matrix

Define a Functional Basis Object

Functional Canonical Correlation Analysis

create.fourier.basis

Create a Fourier Basis

Create Basis Set for Functional Data Analysis

create.bspline.basis

Create a B-spline Basis

create.polygonal.basis

Create a Polygonal Basis

create.constant.basis

Create a Constant Basis

create.exponential.basis

Create an Exponential Basis

Extract functional coefficients

Correlation matrix from functional data object(s)

checkLogicalInteger

Does an argument satisfy required conditions?

Estimate of the covariance surface

df.residual.fRegress

Degrees of Freedom for Residuals from a Functional Regression

create.monomial.basis

Create a Monomial Basis

create.power.basis

Create a Power Basis Object

Compute a Probability Density Function

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

Values a Two-argument Functional Data Object

Functional Boxplots

Exponential Basis Function Values

Values of Basis Functions or their Derivatives

Compute a Derivative of a Functional Data Object

Get subdirectories

Evaluate the Diagonal of a Bivariate Functional Data Object

Values of a Functional Data Object

Values of a Monotone Functional Data Object

Stability Analysis for Principle Differential Analysis

Fourier Penalty Matrix

Estimate the functional principal components

Convert Integer to Linear Differential Operator

Hip and knee angle while walking

Convert Degrees of Freedom to a Smoothing Parameter Value

Inner products of Functional Data Objects.

Confirm Object has Class "fdSmooth"

Plot Cycles for a Periodic Bivariate Functional Data Object

Principal Differential Analysis

dateAccessories

Numeric and character vectors to facilitate working with dates

Extract the knots from a function basis or data object

Define a Functional Data Object

Convert a univariate functional data object to a list

Confirm Object has Class "fd"

Tibia Length for One Baby

Confirm Object has Class "fdPar"

Compute Inner Products B-spline Expansions.

Plot the results of the registration of a set of curves

Power Penalty Matrix

Convert a B-spline function to piece-wise polynomial form

Plot a Functional Data Object With Data

Fourier Basis Function Values

Evaluate a Basis Penalty Matrix

Mean of Functional Data

exponentiate.fd

Powers of a functional data ('fd') object

Exponential Penalty Matrix

Extract plot labels and names for replicates and variables

landmark.reg.expData

Experiment data for landmark registration and alignment

Landmark Registration of Functional Observations

Register Functional Data Objects with Pre-Computed Warping Functions

Register Functional Data Objects Using a Continuous Criterion

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

Generalized eigenanalysis

Define a Functional Parameter Object

Values of Basis Functions or their Derivatives

Functional Data Analysis in R

Functional Regression Analysis

Cursive handwriting samples

melanoma 1936-1972

Evaluate a Positive Functional Data Object

Berkeley Growth Study data

Convert Smoothing Parameter to Degrees of Freedom

Intensity Function for Point Process

Plot Functional Principal Components

Plot a Functional Data Object

Add names to an object

predict.fRegress

Predict method for Functional Regression

Order of a B-spline

Polygonal Basis Function Values

Plot Principal Component Scores

Extract the range from a basis object

getbasispenalty

Evaluate a Roughness Penalty Matrix

Rotation of Functional Canonical Components with VARIMAX

Sea Bird Counts

Confirm Object has Class "Lfd"

summary.basisfd

Summarize a Functional Data Object

Summarize a Linear Differential Operator Object

Construct a functional data object by smoothing data using a roughness penalty

Rotation of Functional Principal Components with VARIMAX Criterion

Summarize a Bivariate Functional Data Object

Compute GCV Criterion

Confirm Object is Class "Basisfd"

Does the range of the input contain 0?

Summarize a Functional Data Object

Evaluates a monotone function

Numerical Solution mth Order Differential Equation System

Confirm that two objects of class "Basisfd" are identical

Add Lines from Functional Data to a Plot

Fit Fully Functional Linear Model

Evaluate Monomial Basis

Plot Columns of Matrices

pinch force data

Approximate Functional Data Using a Basis

Functional Principal Components Analysis

Plot a Linear Differential Operator Object

Creates a matrix of sparse data with NAs out of a list

Reconstruct data curves using functional principal components

Smooth a discrete surface over a rectangular lattice

Stability Analysis for Principle Differential Analysis

Quadrature points and weights for Simpson's rule

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

Phase-plane plot

Estimates of functional Principal Component scores through PACE

Make a Linear Differential Operator Object from a Vector

Sum of Functional Data

Plot Principle Differential Analysis Components

smooth.basis.sparse

Construct a functional data object by smoothing data using a roughness penalty

Plot a functional parameter object with confidence limits

Creates a list of sparse data from a matrix

smooth.sparse.mean

Smooth the mean function of sparse data

Check a vector of weights

Standard Deviation of Functional Data

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

Evaluate Monomial Roughness Penalty Matrix

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

Nondurable goods index

Plot Functional Canonical Correlation Weight Functions

Plot a Basis Object

Power Basis Function Values

Estimates a Smooth Warping Function

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

Smooth Data with a Positive Function

Polygonal Penalty Matrix

solve(A, B) where A is symmetric

Summarize a Functional Parameter Object

Smooth a functional data object using a directly specified roughness penalty

smooth.monotone

Monotone Smoothing of Data

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

Approximate the functional inner product of two functional data objects using the trapezpoidal rule over a fine mesh of value.