swMATH ID: 7434
Software Authors: Goldsmith, J.; Greven, S.; Crainiceanu, C.
Description: R package refund: Regression with Functional Data. Corrected confidence bands for functional data using principal components. Functional principal components (FPC) analysis is widely used to decompose and express functional observations. Curve estimates implicitly condition on basis functions and other quantities derived from FPC decompositions; however these objects are unknown in practice. In this article, we propose a method for obtaining correct curve estimates by accounting for uncertainty in FPC decompositions. Additionally, pointwise and simultaneous confidence intervals that account for both model- and decomposition-based variability are constructed. Standard mixed model representations of functional expansions are used to construct curve estimates and variances conditional on a specific decomposition. Iterated expectation and variance formulas combine model-based conditional estimates across the distribution of decompositions. A bootstrap procedure is implemented to understand the uncertainty in principal component decomposition quantities. Our method compares favorably to competing approaches in simulation studies that include both densely and sparsely observed functions. We apply our method to sparse observations of CD4 cell counts and to dense white-matter tract profiles. Code for the analyses and simulations is publicly available, and our method is implemented in the R package refund on CRAN.
Homepage: http://cran.r-project.org/web/packages/refund/index.html
Source Code: https://github.com/cran/refund
Dependencies: R
Keywords: bootstrap; functional principal components analysis; iterated expectation and variance; simultaneous bands
Related Software: fda (R); R; SemiPar; gamair; mgcv; FDboost; fda.usc; pffr; Matlab; GitHub; orthogonalsplinebasis; GAMLSS; fdasrvf; funHDDC; MFPCA; funFEM; GPFDA; ftsa; Rainbow; WinBUGS
Cited in: 62 Publications
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Cited by 112 Authors

14 Greven, Sonja
11 Scheipl, Fabian
9 Crăiniceanu, Ciprian-Mugur
7 Staicu, Ana-Maria
4 Goldsmith, Jeff
4 Ivanescu, Andrada E.
4 Reimherr, Matthew L.
4 Ruppert, David
3 Brockhaus, Sarah
3 Reiss, Philip T.
3 Zipunnikov, Vadim M.
2 Carroll, Raymond James
2 Cederbaum, Jona
2 Checkley, William
2 Coull, Brent A.
2 Cui, Erjia
2 Gellar, Jonathan E.
2 Harezlak, Jaroslaw
2 Hooker, Giles
2 Kowal, Daniel R.
2 Leroux, Andrew
2 Maity, Arnab Kumar
2 Meyer, Mark J.
2 Morris, Jeffrey S.
2 Ogden, Robert Todd
2 Petrovich, Justin
2 Randolph, Timothy W.
2 Shang, Han Lin
2 Smirnova, Ekaterina
2 Xiao, Luo
2 Xu, Meng
1 Aguilera, Ana M.
1 Backenroth, Daniel
1 Bai, Jiawei
1 Bauer, Alexander Max
1 Bharath, Karthik
1 Boj, Eva
1 Bourgeois, Daniel C.
1 Caballé, Adrià
1 Cao, Jiguo
1 Choi, Hyunphil
1 Choudhary, Pankaj K.
1 Ciarleglio, Adam
1 Cinciripini, Paul
1 Coffman, Donna L.
1 Colantuoni, Elizabeth
1 Cortés López, Juan Carlos
1 Delicado, Pedro F.
1 Durban, Maria
1 Dziak, John J.
1 Egan, Joel M.
1 Eilers, Paul H. C.
1 Esteve, Anna
1 Fang, Zhuo
1 Feng, Ziding
1 Fortiana, Josep
1 Fuchs, Karen
1 Gabriel, Alice-Agnes
1 Gertheiss, Jan
1 Guinness, Joseph
1 Happ, Clara
1 Harran, Michelle D.
1 Hoole, Phil
1 Hothorn, Torsten
1 Huo, Lan
1 Johns, Jordan T.
1 Kelly, Clare
1 Khormali, Omid
1 Kim, Janet S.
1 Kitago, Tomoko
1 Krakauer, John W.
1 Küchenhoff, Helmut
1 Kundu, Madan G.
1 Kurtek, Sebastian
1 Lee, Dae-Jin
1 Leisch, Friedrich
1 Li, Cai
1 Li, Meng
1 Li, Runze
1 Lu, Xiaosun
1 Mair, Patrick
1 Malloy, Elizabeth J.
1 Matuk, James
1 McLean, Mathew W.
1 Melcher, Michael
1 Mendoza Benavides, S. M.
1 Mohammed, Shariq
1 Mousavi, Seyed Nourollah
1 Needham, Dale M.
1 Opitz, Madeleine
1 Petkova, Eva
1 Pouplier, Marianne
1 Rathnayake, Lasitha N.
1 Reich, Brian James
1 Rodríguez-Álvarez, María Xosé
1 Roy, Arkaprava
1 Schaffer, Sophia Anna
1 Schrack, Jennifer A.
1 Shiffman, Saul
1 Shinohara, Russell T.
...and 12 more Authors

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