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fda (version 6.1.8)

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

6.1.8

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

March 9th, 2024

Functions in fda (6.1.8)

Test if running as CRAN

CanadianWeather

Canadian average annual weather cycle

Eigenanalysis preserving dimnames

Decomposition for Amplitude and Phase Variation

Define a Linear Differential Operator Object

Predicting electricity demand in Adelaide from temperature

F-statistic for functional linear regression.

Permutation F-test for functional linear regression.

Create smooth functions that fit scatterplot data.

Continuously Stirred Tank Reactor

arithmetic.basisfd

Arithmatic on functional basis objects

Arithmetic on functional data ('fd') objects

Reshape a vector or array to have 3 dimensions.

Regina Daily Precipitation

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

Convert a spline object to class 'fd'

basisfd.product

Product of two basisfd objects

Montreal Daily Temperature

Mark Intervals on a Plot Axis

Define a Functional Basis Object

Compare dimensions and dimnames of arrays

Create a bivariate functional data object

Functional Canonical Correlation Analysis

checkLogicalInteger

Does an argument satisfy required conditions?

Define a Bivariate Functional Parameter Object

B-spline Basis Function Values

B-Spline Penalty Matrix

Center Functional Data

Extract functional coefficients

Estimate of the covariance surface

create.monomial.basis

Create a Monomial Basis

create.exponential.basis

Create an Exponential Basis

create.bspline.basis

Create a B-spline Basis

Correlation matrix from functional data object(s)

create.power.basis

Create a Power Basis Object

create.constant.basis

Create a Constant Basis

create.fourier.basis

Create a Fourier Basis

Compute a Cumulative Distribution Functional Data Object

Compute a Probability Density Function

Values of Basis Functions or their Derivatives

Compute a Derivative of a Functional Data Object

Values a Two-argument Functional Data Object

Plot Cycles for a Periodic Bivariate Functional Data Object

dateAccessories

Numeric and character vectors to facilitate working with dates

create.polygonal.basis

Create a Polygonal Basis

Convert Degrees of Freedom to a Smoothing Parameter Value

df.residual.fRegress

Degrees of Freedom for Residuals from a Functional Regression

Create Basis Set for Functional Data Analysis

Values of a Functional Data Object Defining Surprisal Curves.

Stability Analysis for Principle Differential Analysis

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

Exponential Penalty Matrix

Get subdirectories

Values of a Functional Data Object

exponentiate.fd

Powers of a functional data ('fd') object

Exponential Basis Function Values

Values of a Monotone Functional Data Object

Evaluate the Diagonal of a Bivariate Functional Data Object

Evaluate a Basis Penalty Matrix

Evaluate a Positive Functional Data Object

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

Convert a univariate functional data object to a list

Define a Functional Parameter Object

Extract plot labels and names for replicates and variables

Fourier Basis Function Values

Functional Regression Analysis

Functions for statistical analyses of functions

Convert fd or basisfd Objects to fdPar Objects

Fourier Penalty Matrix

Hip and knee angle while walking

Berkeley Growth Study data

Cursive handwriting samples

Generalized eigenanalysis

Tibia Length for One Baby

Compute Inner Products B-spline Expansions.

Define a Functional Data Object

Functional Boxplots

Confirm Object has Class "fd"

Confirm Object is Class "Basisfd"

Confirm that two objects of class "Basisfd" are identical

Convert Integer to Linear Differential Operator

Inner products of Functional Data Objects.

Confirm Object has Class "fdSmooth"

Extract the range from a basis object

getbasispenalty

Evaluate a Roughness Penalty Matrix

Confirm Object has Class "Lfd"

Intensity Function for Point Process

Extract the knots from a function basis or data object

Convert Smoothing Parameter to Degrees of Freedom

Values of Basis Functions or their Derivatives

Mean of Functional Data

Compute GCV Criterion

melanoma 1936-1972

Fit Fully Functional Linear Model

Landmark Registration of Functional Observations with Differing Ranges

Add Lines from Functional Data to a Plot

Evaluate the a monotone function

Evaluate Monomial Basis

Evaluate the Hessian matrix of a monotone function

Evaluate Monomial Roughness Penalty Matrix

Order of a B-spline

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

Add names to an object

Confirm Object has Class "fdPar"

Plot Columns of Matrices

Numerical Solution mth Order Differential Equation System

Functional Principal Components Analysis

Nondurable goods index

Evaluate the gradient of a monotone function

Plot a Linear Differential Operator Object

Estimate the functional principal components

pinch force data

Principal Differential Analysis

Polynomial extrapolation for a converging sequence of one or more values

Plot Principle Differential Analysis Components

Plot Functional Principal Components

Plot a Functional Data Object

Phase-plane plot

Plot a functional parameter object with confidence limits

Plot Principal Component Scores

Polygonal Basis Function Values

Stability Analysis for Principle Differential Analysis

Plot a Functional Data Object With Data

Register Functional Data Objects with Pre-Computed Warping Functions

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

Power Basis Function Values

Power Penalty Matrix

Polygonal Penalty Matrix

Standard Deviation of Functional Data

Quadrature points and weights for Simpson's rule

Reflux and tray level in a refinery

Plot Functional Canonical Correlation Weight Functions

Plot a Basis Object

Reconstruct data curves using functional principal components

Register Functional Data Objects Using a Continuous Criterion

Sea Bird Counts

Approximate Functional Data Using a Basis

predict.fRegress

Predict method for Functional Regression

Estimates of functional Principal Component scores through PACE

Estimates a Smooth Warping Function Mapping an Interval into Another

smooth.monotone

Monotone Smoothing of Data

smooth.basis.sparse

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

smooth.sparse.mean

Smooth the mean function of sparse data

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

Smooth Data with a Positive Function

Smooth a discrete surface over a rectangular lattice

Smooth a functional data object using a directly specified roughness penalty

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

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

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

Check a step size value for being within parameter limits.

Summarize a Bivariate Functional Data Object

Fit data with surprisal smoothing.

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

Sum of Functional Data

Summarize a Linear Differential Operator Object

Summarize a Functional Data Object

Creates a list of sparse data from a matrix

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

summary.basisfd

Summarize a Functional Data Object

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

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

Evaluate the fit of surprisal curves to binned psychometric data.

Rotation of Functional Canonical Components with VARIMAX

Orthonormal Matrix with Columns Summing to Zero

Check Data Arrays for Smoothing Functions

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

Does the range of the input contain 0?

Make a Linear Differential Operator Object from a Vector

Summarize a Functional Parameter Object

Rotation of Functional Principal Components with VARIMAX Criterion

Check a vector of weights

solve(A, B) where A is symmetric