# fda v2.4.8

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## Functional Data Analysis

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. Matlab versions of the code and sample analyses are no longer distributed through CRAN, as they were when the book was published. For those, ftp from <http://www.psych.mcgill.ca/misc/fda/downloads/FDAfuns/> There you find a set of .zip files containing the functions and sample analyses, as well as two .txt files giving instructions for installation and some additional information. The changes from Version 2.4.1 are fixes of bugs in density.fd and removal of functions create.polynomial.basis, polynompen, and polynomial. These were deleted because the monomial basis does the same thing and because there were errors in the code.

## Functions in fda

 Name Description bifd Create a bivariate functional data object axisIntervals Mark Intervals on a Plot Axis create.constant.basis Create a Constant Basis create.exponential.basis Create an Exponential Basis bsplinepen B-Spline Penalty Matrix fRegress.CV Computes Cross-validated Error Sum of Integrated Squared Errors for a Functional Regression Model density.fd Compute a Probability Density Function infantGrowth Tibia Length for One Baby checkDims3 Compare dimensions and dimnames of arrays dateAccessories Numeric and character vectors to facilitate working with dates fourier Fourier Basis Function Values fRegress Functional Regression Analysis bifdPar Define a Bivariate Functional Parameter Object create.basis Create Basis Set for Functional Data Analysis deriv.fd Compute a Derivative of a Functional Data Object bsplineS B-spline Basis Function Values checkLogicalInteger Does an argument satisfy required conditions? file.copy2 Copy a file with a default 'to' name create.bspline.basis Create a B-spline Basis cycleplot.fd Plot Cycles for a Periodic Bivariate Functional Data Object cca.fd Functional Canonical Correlation Analysis inprod.bspline Compute Inner Products B-spline Expansions. eval.basis Values of Basis Functions or their Derivatives center.fd Center Functional Data create.polygonal.basis Create a Polygonal Basis basisfd Define a Functional Basis Object basisfd.product Product of two basisfd objects is.fdSmooth Confirm Object has Class "fdSmooth" eval.bifd Values a Two-argument Functional Data Object cor.fd Correlation matrix from functional data object(s) coef.fd Extract functional coefficients create.power.basis Create a Power Basis Object knots.fd Extract the knots from a function basis or data object lip Lip motion lmWinsor Winsorized Regression create.fourier.basis Create a Fourier Basis df.residual.fRegress Degress of Freedom for Residuals from a Functional Regression create.monomial.basis Create a Monomial Basis dirs Get subdirectories matplot Plot Columns of Matrices growth Berkeley Growth Study data mean.fd Mean of Functional Data eigen.pda Stability Analysis for Principle Differential Analysis exponentiate.fd Powers of a functional data ('fd') object eval.fd Values of a Functional Data Object quadset Quadrature points and weights for Simpson's rule handwrit Cursive handwriting samples eval.monfd Values of a Monotone Functional Data Object fdaMatlabPath Add 'fdaM' to the Matlab path fourierpen Fourier Penalty Matrix fdlabels Extract plot labels and names for replicates and variables exponpen Exponential Penalty Matrix eval.penalty Evaluate a Basis Penalty Matrix df2lambda Convert Degrees of Freedom to a Smoothing Parameter Value readHMD Download data from the Human Mortality Database (HMD) register.fd0 Correct for initial position error between functional data objects. register.newfd Register Functional Data Objects with Pre-Computed Warping Functions evaldiag.bifd Evaluate the Diagonal of a Bivariate Functional Data Object eval.posfd Evaluate a Positive Functional Data Object fda-package Functional Data Analysis in R fdPar Define a Functional Parameter Object getbasispenalty Evaluate a Roughness Penalty Matrix gait Hip and knee angle while walking expon Exponential Basis Function Values fRegress.stderr Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis symsolve solve(A, B) where A is symmetric int2Lfd Convert Integer to Linear Differential Operator is.basis Confirm Object is Class "Basisfd" inprod Inner products of Functional Data Objects. getbasisrange Extract the range from a basis object fd Define a Functional Data Object fbplot Functional Boxplots is.fd Confirm Object has Class "fd" fd2list Convert a univariate functional data object to s list is.fdPar Confirm Object has Class "fdPar" lmWinsor12 Support functions for lmWinsor monomialpen Evaluate Monomial Roughness Penalty Matrix monomial Evaluate Monomial Basis tperm.fd Permutation t-test for two groups of functional data objects. plot.basisfd Plot a Basis Object monfn Evaluates a monotone function lmeWinsor Winsorized Regression with mixed effects melanoma melanoma 1936-1972 lambda2df Convert Smoothing Parameter to Degrees of Freedom plot.Lfd Plot a Linear Differential Operator Object is.eqbasis Confirm that two objects of class "Basisfd" are identical polygpen Polygonal Penalty Matrix plot.lmWinsor lmWinsor plot pda.overlay Stability Analysis for Principle Differential Analysis lines.fd Add Lines from Functional Data to a Plot pda.fd Principal Differential Analysis lambda2gcv Compute GCV Criterion geigen Generalized eigenanalysis linmod Fit Fully Functional Linear Model powerbasis Power Basis Function Values predict.lmWinsor Predict method for Winsorized linear model fits phaseplanePlot Phase-plane plot plot.pca.fd Plot Functional Principal Components refinery Reflux and tray level in a refinery odesolv Numerical Solution mth Order Differential Equation System predict.fRegress Predict method for Functional Regression objAndNames Add names to an object onechild growth in height of one 10-year-old boy getbasismatrix Values of Basis Functions or their Derivatives seabird Sea Bird Counts pinch pinch force data register.fd Register Functional Data Objects Using a Continuous Criterion pca.fd Functional Principal Components Analysis plot.pda.fd Plot Principle Differential Analysis Components plotfit Plot a Functional Data Object With Data intensity.fd Intensity Function for Point Process smooth.basis Construct a functional data object by smoothing data using a roughness penalty smooth.fd Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty is.Lfd Confirm Object has Class "Lfd" smooth.fdPar Smooth a functional data object using a directly specified roughness penalty smooth.monotone Monotone Smoothing of Data smooth.pos Smooth Data with a Positive Function plotbeta Plot a functional parameter object with confidence limits landmark.reg.expData Experiment data for landmark registration and alignment smooth.morph Estimates a Smooth Warping Function sum.fd Sum of Functional Data plotreg.fd Plot the results of the registration of a set of curves var.fd Variance, Covariance, and Correlation Surfaces for Functional Data Object(s) varmx Rotate a Matrix of Component Loadings using the VARIMAX Criterion residuals.fRegress Residuals from a Functional Regression predict.lmeWinsor Predict method for Winsorized linear model fits with mixed effects project.basis Approximate Functional Data Using a Basis landmarkreg Landmark Registration of Functional Observations nondurables Nondurable goods index norder Order of a B-spline plot.cca.fd Plot Functional Canonical Correlation Weight Functions smooth.basisPar Smooth Data Using a Directly Specified Roughness Penalty smooth.bibasis Smooth a discrete surface over a rectangular lattice vec2Lfd Make a Linear Differential Operator Object from a Vector summary.fdPar Summarize a Functional Parameter Object plot.fd Plot a Functional Data Object sd.fd Standard Deviation of Functional Data summary.Lfd Summarize a Linear Differential Operator Object plotscores Plot Principal Component Scores wtcheck Check a vector of weights svd2 singular value decomposition with automatic error handling polyg Polygonal Basis Function Values summary.basisfd Summarize a Functional Data Object zerofind Does the range of the input contain 0? powerpen Power Penalty Matrix ppBspline Convert a B-spline function to piece-wise polynomial form summary.bifd Summarize a Bivariate Functional Data Object varmx.cca.fd Rotation of Functional Canonical Components with VARIMAX summary.fd Summarize a Functional Data Object varmx.pca.fd Rotation of Functional Principal Components with VARIMAX Criterion Lfd Define a Linear Differential Operator Object MontrealTemp Montreal Daily Temperature Fperm.fd Permutation F-test for functional linear regression. CanadianWeather Canadian average annual weather cycle argvalsy.swap Swap argvals with y if the latter is simpler. TaylorSpline Taylor representation of a B-Spline CSTR Continuously Stirred Tank Reactor Fstat.fd F-statistic for functional linear regression. as.fd Convert a spline object to class 'fd' ReginaPrecip Regina Daily Precipitation StatSciChinese Statistical Science in Chinese Data2fd Create a functional data object from data Eigen Eigenanalysis preserving dimnames arithmetic.basisfd Arithmatic on functional basis objects arithmetic.fd Arithmetic on functional data ('fd') objects AmpPhaseDecomp Decomposition for Amplitude and Phase Variation CRAN Test if running as CRAN as.POSIXct1970 as.POXIXct for number of seconds since the start of 1970. as.array3 Reshape a vector or array to have 3 dimensions. No Results!