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fda (version 2.2.7)

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. They were ported from earlier versions in Matlab and S-PLUS. An introduction appears 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. The principal changes to version 2.2.6 are: 1. Major enhancements to function smooth.basis as well as the functions that call it. New or revised arguments are: "wtvec" may now be a positive symmetric matrix as well as a vector "covariates" for inputting covariate matrices that explain some fraction of the data to be smoothed (often called "semiparametric smoothing") "method=qr" enables an algorithm based on the qr- decomposition that will be more accurate than the usual approach relying on the Choleski decomposition. It will, however, be slower. 2. Greatly expanded examples in the smooth.basis.Rd file that show a wider range of uses of this function. 3. Function data2fd has been replaced by function Data2fd for simple smoothing problems. Data2fd is designed to be invoked with various argument configurations. 4. And the usual fixes of reported bugs, especially in the registraton functions, landmarkreg and register.fd.

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Version

Install

install.packages('fda')

Monthly Downloads

16,499

Version

2.2.7

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

August 30th, 2011

Functions in fda (2.2.7)

Decomposition for Amplitude and Phase Variation

create.constant.basis

Create a Constant Basis

create.bspline.basis

Create a B-spline Basis

Evaluate a Positive Functional Data Object

Tibia Length for One Baby

Confirm Object has Class "fd"

Values of a Monotone Functional Data Object

F-statistic for functional linear regression.

Create a bivariate functional data object

Values of Basis Functions or their Derivatives

arithmetic.basisfd

Arithmatic on functional basis objects

Register Functional Data Objects Using a Continuous Criterion

create.power.basis

Create a Power Basis Object

Extract plot labels and names for replicates and variables

landmark.reg.expData

Experiment data for landmark registration and alignment

Create a functional data object from data

smooth.monotone

Monotone Smoothing of Data

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

Smooth Data with a Positive Function

Plot Principal Component Scores

Functional Boxplots

Register Functional Data Objects with Pre-Computed Warping Functions

Regina Daily Precipitation

Define a Functional Parameter Object

summary.basisfd

Summarize a Functional Data Object

dateAccessories

Numeric and character vectors to facilitate working with dates

Approximate Functional Data Using a Basis

Fourier Basis Function Values

Create Basis Set for Functional Data Analysis

Convert Degrees of Freedom to a Smoothing Parameter Value

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

Statistical Science in Chinese

Correlation matrix from functional data object(s)

Smooth a discrete surface over a rectangular lattice

Compute Inner Products B-spline Expansions.

Winsorized Regression

Center Functional Data

Plot Cycles for a Periodic Bivariate Functional Data Object

checkLogicalInteger

Does an argument satisfy required conditions?

Rotation of Functional Principal Components with VARIMAX Criterion

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

Continuously Stirred Tank Reactor

Add Lines from Functional Data to a Plot

Compute a Probability Density Function

Sea Bird Counts

Stability Analysis for Principle Differential Analysis

Standard Deviation of Functional Data

Hip and knee angle while walking

Confirm Object is Class "Basisfd"

Plot Functional Principal Components

Compare dimensions and dimnames of arrays

Phase-plane plot

Evaluates a monotone function

Montreal Daily Temperature

Plot a Functional Data Object

Values of a Functional Data Object

Swap argvals with y if the latter is simpler.

basisfd.product

Product of two basisfd objects

Values a Two-argument Functional Data Object

create.monomial.basis

Create a Monomial Basis

Estimates a Smooth Warping Function

Functional Regression Analysis

Fourier Penalty Matrix

create.fourier.basis

Create a Fourier Basis

B-spline Basis Function Values

Polygonal Penalty Matrix

B-Spline Penalty Matrix

Winsorized Regression with mixed effects

Confirm Object has Class "Lfd"

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

Reflux and tray level in a refinery

Evaluate Monomial Roughness Penalty Matrix

create.polynomial.basis

Create a Polynomial Basis

Mean of Functional Data

melanoma 1936-1972

create.polygonal.basis

Create a Polygonal Basis

Get subdirectories

Inner products of Functional Data Objects.

Define a Functional Basis Object

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

Exponential Penalty Matrix

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

Berkeley Growth Study data

Support functions for lmWinsor

Rotation of Functional Canonical Components with VARIMAX

Smooth a functional data object using a directly specified roughness penalty

df.residual.fRegress

Degress of Freedom for Residuals from a Functional Regression

Define a Linear Differential Operator Object

Convert Smoothing Parameter to Degrees of Freedom

Summarize a Bivariate Functional Data Object

Evaluate the Diagonal of a Bivariate Functional Data Object

Exponential Basis Function Values

growth in height of one 10-year-old boy

Principal Differential Analysis

getbasispenalty

Evaluate a Roughness Penalty Matrix

Add 'fdaM' to the Matlab path

CanadianWeather

Canadian average annual weather cycle

pinch force data

Plot a functional parameter object with confidence limits

Plot a Basis Object

Permutation F-test for functional linear regression.

Correct for initial position error between functional data objects.

Confirm Object has Class "fdSmooth"

Does the range of the input contain 0?

Power Basis Function Values

predict.lmeWinsor

Predict method for Winsorized linear model fits with mixed effects

create.exponential.basis

Create an Exponential Basis

singular value decomposition with automatic error handling

Order of a B-spline

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

Confirm Object has Class "fdPar"

Landmark Registration of Functional Observations

Define a Bivariate Functional Parameter Object

Plot a Functional Data Object With Data

Compute GCV Criterion

FDA internal functions

Quadrature points and weights for Simpson's rule

Copy a file with a default 'to' name

Evaluate Monomial Basis

Reshape a vector or array to have 3 dimensions.

Summarize a Functional Data Object

Summarize a Functional Parameter Object

Check a vector of weights

Cursive handwriting samples

Functional Principal Components Analysis

Extract functional coefficients

Power Penalty Matrix

Summarize a Linear Differential Operator Object

Compute a Derivative of a Functional Data Object

Taylor representation of a B-Spline

Extract the knots from a function basis or data object

Polygonal Basis Function Values

predict.fRegress

Predict method for Functional Regression

residuals.fRegress

Residuals from a Functional Regression

Sum of Functional Data

Extract the range from a basis object

Eigenanalysis preserving dimnames

Convert Integer to Linear Differential Operator

Plot a Linear Differential Operator Object

Nondurable goods index

predict.lmWinsor

Predict method for Winsorized linear model fits

Make a Linear Differential Operator Object from a Vector

Functional Canonical Correlation Analysis

Values of Basis Functions or their Derivatives

Evaluate a Basis Penalty Matrix

Define a Functional Data Object

Intensity Function for Point Process

Fit Fully Functional Linear Model

Add names to an object

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

Arithmetic on functional data ('fd') objects

Mark Intervals on a Plot Axis

Expectation of basis functions

Functional Data Analysis in R

Numerical Solution mth Order Differential Equation System

Convert a spline object to class 'fd'