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fda (version 5.1.5.1)

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 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

17,533

Version

5.1.5.1

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

August 2nd, 2020

Functions in fda (5.1.5.1)

Create a functional data object from data

Test if running as CRAN

Decomposition for Amplitude and Phase Variation

Continuously Stirred Tank Reactor

CanadianWeather

Canadian average annual weather cycle

Plot a functional parameter object with confidence limits

arithmetic.basisfd

Arithmatic on functional basis objects

Arithmetic on functional data ('fd') objects

Estimate of the covariance surface

B-spline Basis Function Values

Center Functional Data

B-Spline Penalty Matrix

create.bspline.basis

Create a B-spline Basis

Mark Intervals on a Plot Axis

Define a Linear Differential Operator Object

Permutation F-test for functional linear regression.

F-statistic for functional linear regression.

Montreal Daily Temperature

Regina Daily Precipitation

Values a Two-argument Functional Data Object

Values of a Functional Data Object

Create Basis Set for Functional Data Analysis

Evaluate a Positive Functional Data Object

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

Reshape a vector or array to have 3 dimensions.

Extract functional coefficients

Correlation matrix from functional data object(s)

df.residual.fRegress

Degrees of Freedom for Residuals from a Functional Regression

Compute a Derivative of a Functional Data Object

Values of a Monotone Functional Data Object

basisfd.product

Product of two basisfd objects

Define a Functional Basis Object

Evaluate a Basis Penalty Matrix

Eigenanalysis preserving dimnames

Convert a spline object to class 'fd'

Compare dimensions and dimnames of arrays

Functional Canonical Correlation Analysis

Functional Boxplots

Evaluate the Diagonal of a Bivariate Functional Data Object

Create a bivariate functional data object

create.monomial.basis

Create a Monomial Basis

Exponential Basis Function Values

checkLogicalInteger

Does an argument satisfy required conditions?

create.polygonal.basis

Create a Polygonal Basis

Define a Bivariate Functional Parameter Object

create.fourier.basis

Create a Fourier Basis

Fourier Basis Function Values

Statistical Science in Chinese

create.exponential.basis

Create an Exponential Basis

create.power.basis

Create a Power Basis Object

Cursive handwriting samples

Stability Analysis for Principle Differential Analysis

Fourier Penalty Matrix

Plot Cycles for a Periodic Bivariate Functional Data Object

Define a Functional Data Object

Values of Basis Functions or their Derivatives

Functional Data Analysis in R

Exponential Penalty Matrix

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

Convert Degrees of Freedom to a Smoothing Parameter Value

Convert a univariate functional data object to a list

dateAccessories

Numeric and character vectors to facilitate working with dates

Compute Inner Products B-spline Expansions.

Extract plot labels and names for replicates and variables

Get subdirectories

Evaluate Monomial Basis

Tibia Length for One Baby

Phase-plane plot

Extract the knots from a function basis or data object

Evaluate Monomial Roughness Penalty Matrix

Convert Smoothing Parameter to Degrees of Freedom

create.constant.basis

Create a Constant Basis

Values of Basis Functions or their Derivatives

Plot the results of the registration of a set of curves

Compute a Probability Density Function

exponentiate.fd

Powers of a functional data ('fd') object

pinch force data

getbasispenalty

Evaluate a Roughness Penalty Matrix

Stability Analysis for Principle Differential Analysis

Define a Functional Parameter Object

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

Plot Principal Component Scores

predict.fRegress

Predict method for Functional Regression

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

Plot Columns of Matrices

Confirm Object has Class "fdSmooth"

Mean of Functional Data

Berkeley Growth Study data

Extract the range from a basis object

Confirm Object has Class "fdPar"

Functional Regression Analysis

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

Hip and knee angle while walking

Functional Principal Components Analysis

Generalized eigenanalysis

Smooth a discrete surface over a rectangular lattice

Estimates a Smooth Warping Function

smooth.monotone

Monotone Smoothing of Data

Compute GCV Criterion

landmark.reg.expData

Experiment data for landmark registration and alignment

Estimate the functional principal components

Confirm that two objects of class "Basisfd" are identical

Convert Integer to Linear Differential Operator

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

Landmark Registration of Functional Observations

Intensity Function for Point Process

Plot a Linear Differential Operator Object

Add Lines from Functional Data to a Plot

Confirm Object is Class "Basisfd"

Confirm Object has Class "Lfd"

Approximate Functional Data Using a Basis

Plot a Basis Object

Reconstruct data curves using functional principal components

Plot Functional Canonical Correlation Weight Functions

Smooth a functional data object using a directly specified roughness penalty

Confirm Object has Class "fd"

Inner products of Functional Data Objects.

Quadrature points and weights for Simpson's rule

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

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

Evaluates a monotone function

melanoma 1936-1972

Numerical Solution mth Order Differential Equation System

Power Basis Function Values

Add names to an object

Plot a Functional Data Object

Order of a B-spline

Nondurable goods index

Plot Functional Principal Components

Polygonal Basis Function Values

Polygonal Penalty Matrix

Sea Bird Counts

Standard Deviation of Functional Data

Power Penalty Matrix

Plot Principle Differential Analysis Components

Creates a list of sparse data from a matrix

Register Functional Data Objects with Pre-Computed Warping Functions

smooth.basis.sparse

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

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

summary.basisfd

Summarize a Functional Data Object

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

Register Functional Data Objects Using a Continuous Criterion

Fit Fully Functional Linear Model

Principal Differential Analysis

Estimates of functional Principal Component scores through PACE

Plot a Functional Data Object With Data

Smooth Data with a Positive Function

Summarize a Linear Differential Operator Object

Sum of Functional Data

singular value decomposition with automatic error handling

solve(A, B) where A is symmetric

Rotation of Functional Canonical Components with VARIMAX

Summarize a Bivariate Functional Data Object

Rotation of Functional Principal Components with VARIMAX Criterion

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

smooth.sparse.mean

Smooth the mean function of sparse data

Does the range of the input contain 0?

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

Summarize a Functional Data Object

Check a vector of weights

Make a Linear Differential Operator Object from a Vector

Summarize a Functional Parameter Object