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fda (version 5.1.5)

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

15,929

Version

5.1.5

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

July 13th, 2020

Functions in fda (5.1.5)

Permutation F-test for functional linear regression.

Eigenanalysis preserving dimnames

Define a Linear Differential Operator Object

F-statistic for functional linear regression.

Montreal Daily Temperature

Continuously Stirred Tank Reactor

Decomposition for Amplitude and Phase Variation

CanadianWeather

Canadian average annual weather cycle

arithmetic.basisfd

Arithmatic on functional basis objects

Test if running as CRAN

Create a functional data object from data

Functional Canonical Correlation Analysis

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

basisfd.product

Product of two basisfd objects

Reshape a vector or array to have 3 dimensions.

Arithmetic on functional data ('fd') objects

Define a Functional Basis Object

Compare dimensions and dimnames of arrays

Statistical Science in Chinese

B-Spline Penalty Matrix

B-spline Basis Function Values

checkLogicalInteger

Does an argument satisfy required conditions?

Correlation matrix from functional data object(s)

Regina Daily Precipitation

Extract functional coefficients

Convert a spline object to class 'fd'

Create a bivariate functional data object

Mark Intervals on a Plot Axis

create.power.basis

Create a Power Basis Object

create.monomial.basis

Create a Monomial Basis

create.bspline.basis

Create a B-spline Basis

Define a Bivariate Functional Parameter Object

Center Functional Data

Convert Degrees of Freedom to a Smoothing Parameter Value

create.exponential.basis

Create an Exponential Basis

create.fourier.basis

Create a Fourier Basis

Estimate of the covariance surface

Plot Cycles for a Periodic Bivariate Functional Data Object

Compute a Derivative of a Functional Data Object

df.residual.fRegress

Degrees of Freedom for Residuals from a Functional Regression

Create Basis Set for Functional Data Analysis

Values of a Monotone Functional Data Object

create.polygonal.basis

Create a Polygonal Basis

create.constant.basis

Create a Constant Basis

Values a Two-argument Functional Data Object

Get subdirectories

Exponential Basis Function Values

dateAccessories

Numeric and character vectors to facilitate working with dates

Compute a Probability Density Function

exponentiate.fd

Powers of a functional data ('fd') object

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

Functional Regression Analysis

Exponential Penalty Matrix

Evaluate a Basis Penalty Matrix

Cursive handwriting samples

Define a Functional Data Object

Fourier Basis Function Values

Functional Boxplots

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

Convert Integer to Linear Differential Operator

Stability Analysis for Principle Differential Analysis

Fourier Penalty Matrix

Tibia Length for One Baby

Values of Basis Functions or their Derivatives

Intensity Function for Point Process

Functional Data Analysis in R

Compute GCV Criterion

Values of a Functional Data Object

landmark.reg.expData

Experiment data for landmark registration and alignment

Evaluate the Diagonal of a Bivariate Functional Data Object

Define a Functional Parameter Object

Evaluate a Positive Functional Data Object

Convert a univariate functional data object to a list

Extract the knots from a function basis or data object

Mean of Functional Data

Landmark Registration of Functional Observations

Plot Columns of Matrices

Inner products of Functional Data Objects.

Compute Inner Products B-spline Expansions.

Hip and knee angle while walking

Confirm Object has Class "fdPar"

Confirm Object has Class "fdSmooth"

Evaluate Monomial Basis

Evaluate Monomial Roughness Penalty Matrix

Plot the results of the registration of a set of curves

Nondurable goods index

Order of a B-spline

Plot a functional parameter object with confidence limits

Plot Principal Component Scores

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

Principal Differential Analysis

predict.fRegress

Predict method for Functional Regression

Extract plot labels and names for replicates and variables

Stability Analysis for Principle Differential Analysis

Add Lines from Functional Data to a Plot

Fit Fully Functional Linear Model

Convert Smoothing Parameter to Degrees of Freedom

Values of Basis Functions or their Derivatives

Generalized eigenanalysis

Plot a Functional Data Object With Data

Approximate Functional Data Using a Basis

Smooth a discrete surface over a rectangular lattice

getbasispenalty

Evaluate a Roughness Penalty Matrix

Quadrature points and weights for Simpson's rule

Confirm Object has Class "Lfd"

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

Extract the range from a basis object

Confirm Object is Class "Basisfd"

Confirm Object has Class "fd"

melanoma 1936-1972

Berkeley Growth Study data

Confirm that two objects of class "Basisfd" are identical

Smooth a functional data object using a directly specified roughness penalty

pinch force data

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

Plot a Linear Differential Operator Object

Phase-plane plot

summary.basisfd

Summarize a Functional Data Object

Summarize a Bivariate Functional Data Object

Standard Deviation of Functional Data

Polygonal Basis Function Values

Polygonal Penalty Matrix

Plot a Basis Object

Evaluates a monotone function

Sum of Functional Data

Sea Bird Counts

Rotation of Functional Principal Components with VARIMAX Criterion

Rotation of Functional Canonical Components with VARIMAX

Functional Principal Components Analysis

Creates a list of sparse data from a matrix

Smooth Data with a Positive Function

Add names to an object

Summarize a Linear Differential Operator Object

Estimate the functional principal components

Does the range of the input contain 0?

Numerical Solution mth Order Differential Equation System

smooth.sparse.mean

Smooth the mean function of sparse data

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

Plot Functional Canonical Correlation Weight Functions

Power Basis Function Values

Plot a Functional Data Object

Power Penalty Matrix

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

smooth.basis.sparse

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

Plot Functional Principal Components

Plot Principle Differential Analysis Components

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

smooth.monotone

Monotone Smoothing of Data

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

Estimates a Smooth Warping Function

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

Reconstruct data curves using functional principal components

solve(A, B) where A is symmetric

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

singular value decomposition with automatic error handling

Register Functional Data Objects Using a Continuous Criterion

Estimates of functional Principal Component scores through PACE

Register Functional Data Objects with Pre-Computed Warping Functions

Summarize a Functional Parameter Object

Summarize a Functional Data Object

Check a vector of weights

Make a Linear Differential Operator Object from a Vector