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fda (version 6.2.0)

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 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

19,069

Version

6.2.0

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

September 17th, 2024

Functions in fda (6.2.0)

Continuously Stirred Tank Reactor

Eigenanalysis preserving dimnames

Create smooth functions that fit scatterplot data.

F-statistic for functional linear regression.

Predicting electricity demand in Adelaide from temperature

Define a Linear Differential Operator Object

Test if running as CRAN

CanadianWeather

Canadian average annual weather cycle

Permutation F-test for functional linear regression.

Decomposition for Amplitude and Phase Variation

Reshape a vector or array to have 3 dimensions.

Montreal Daily Temperature

Arithmetic on functional data ('fd') objects

arithmetic.basisfd

Arithmatic on functional basis objects

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

Regina Daily Precipitation

basisfd.product

Product of two basisfd objects

Mark Intervals on a Plot Axis

Define a Functional Basis Object

Convert a spline object to class 'fd'

B-spline Basis Function Values

Functional Canonical Correlation Analysis

B-Spline Penalty Matrix

Center Functional Data

Create a bivariate functional data object

Define a Bivariate Functional Parameter Object

Compare dimensions and dimnames of arrays

checkLogicalInteger

Does an argument satisfy required conditions?

Compute a Cumulative Distribution Functional Data Object

Create Basis Set for Functional Data Analysis

Estimate of the covariance surface

create.exponential.basis

Create an Exponential Basis

create.power.basis

Create a Power Basis Object

create.fourier.basis

Create a Fourier Basis

create.bspline.basis

Create a B-spline Basis

Extract functional coefficients

create.constant.basis

Create a Constant Basis

Correlation matrix from functional data object(s)

create.polygonal.basis

Create a Polygonal Basis

create.monomial.basis

Create a Monomial Basis

Compute a Probability Density Function

Plot Cycles for a Periodic Bivariate Functional Data Object

Get subdirectories

dateAccessories

Numeric and character vectors to facilitate working with dates

Stability Analysis for Principle Differential Analysis

df.residual.fRegress

Degrees of Freedom for Residuals from a Functional Regression

Compute a Derivative of a Functional Data Object

Convert Degrees of Freedom to a Smoothing Parameter Value

Evaluate a Basis Penalty Matrix

Evaluate a Positive Functional Data Object

Exponential Penalty Matrix

Values of Basis Functions or their Derivatives

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

Values a Two-argument Functional Data Object

Exponential Basis Function Values

Values of a Monotone Functional Data Object

exponentiate.fd

Powers of a functional data ('fd') object

Values of a Functional Data Object

Values of a Functional Data Object Defining Surprisal Curves.

Evaluate the Diagonal of a Bivariate Functional Data Object

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

Functions for statistical analyses of functions

Extract plot labels and names for replicates and variables

Convert fd or basisfd Objects to fdPar Objects

Convert a univariate functional data object to a list

Functional Regression Analysis

Define a Functional Parameter Object

Fourier Basis Function Values

Generalized eigenanalysis

Functional Boxplots

Values of Basis Functions or their Derivatives

Cursive handwriting samples

Berkeley Growth Study data

Define a Functional Data Object

Fourier Penalty Matrix

Hip and knee angle while walking

getbasispenalty

Evaluate a Roughness Penalty Matrix

Confirm Object is Class "Basisfd"

Confirm Object has Class "fd"

Confirm that two objects of class "Basisfd" are identical

Extract the range from a basis object

Confirm Object has Class "fdPar"

Confirm Object has Class "fdSmooth"

Intensity Function for Point Process

Confirm Object has Class "Lfd"

Convert Smoothing Parameter to Degrees of Freedom

Mean of Functional Data

Convert Integer to Linear Differential Operator

Inner products of Functional Data Objects.

Search along a line for a minimum within an optimisation algorithm.

Extract the knots from a function basis or data object

Evaluate Monomial Roughness Penalty Matrix

Tibia Length for One Baby

Fit Fully Functional Linear Model

melanoma 1936-1972

Compute Inner Products B-spline Expansions.

Landmark Registration of Functional Observations with Differing Ranges

Compute GCV Criterion

Numerical Solution mth Order Differential Equation System

Plot Columns of Matrices

Nondurable goods index

Functional Principal Components Analysis

Add names to an object

Order of a B-spline

Evaluate the a monotone function

Evaluate the gradient of a monotone function

Evaluate the Hessian matrix of a monotone function

Add Lines from Functional Data to a Plot

Evaluate Monomial Basis

Estimate the functional principal components

Stability Analysis for Principle Differential Analysis

Principal Differential Analysis

pinch force data

Plot a Linear Differential Operator Object

Plot Functional Canonical Correlation Weight Functions

Plot a functional parameter object with confidence limits

Power Penalty Matrix

Plot Principle Differential Analysis Components

Plot a Basis Object

Polynomial extrapolation for a converging sequence of one or more values

Plot Functional Principal Components

Plot a Functional Data Object

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

Power Basis Function Values

Phase-plane plot

Polygonal Penalty Matrix

Reflux and tray level in a refinery

Polygonal Basis Function Values

predict.fRegress

Predict method for Functional Regression

Standard Deviation of Functional Data

Approximate Functional Data Using a Basis

Sea Bird Counts

Estimates of functional Principal Component scores through PACE

Register Functional Data Objects with Pre-Computed Warping Functions

Register Functional Data Objects Using a Continuous Criterion

Smooth Data with a Positive Function

smooth.sparse.mean

Smooth the mean function of sparse data

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

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

Smooth a functional data object using a directly specified roughness penalty

Summarize a Linear Differential Operator Object

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

Estimates a Smooth Warping Function Mapping an Interval into Another

Fit data with surprisal smoothing.

Plot Principal Component Scores

smooth.monotone

Monotone Smoothing of Data

Creates a list of sparse data from a matrix

Plot a Functional Data Object With Data

Check a step size value for being within parameter limits.

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

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

Compute a new step size for a linear search within an optimization algorithm.

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

Sum of Functional Data

Rotation of Functional Principal Components with VARIMAX Criterion

summary.basisfd

Summarize a Functional Data Object

Quadrature points and weights for Simpson's rule

Reconstruct data curves using functional principal components

Make a Linear Differential Operator Object from a Vector

Does the range of the input contain 0?

Orthonormal Matrix with Columns Summing to Zero

Check Data Arrays for Smoothing Functions

Check a vector of weights

solve(A, B) where A is symmetric

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

Smooth a discrete surface over a rectangular lattice

Evaluate the fit of surprisal curves to binned psychometric data.

Summarize a Functional Data Object

Summarize a Bivariate Functional Data Object

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

Rotation of Functional Canonical Components with VARIMAX

Summarize a Functional Parameter Object