FAPA: Factor Analytic Profile Analysis of Ipsatized Data

Implements Factor Analytic Profile Analysis of Ipsatized Data ('FAPA'), a metric inferential framework for pattern detection and person-level reconstruction in multivariate profile data. After row-centering (ipsatization) to remove profile elevation, 'FAPA' applies singular value decomposition ('SVD') to recover shared core profiles and individual pattern weights. Dimensionality is determined by a variance-matched Horn's parallel analysis. A three-stage bootstrap verification framework assesses (1) dimensionality via parallel analysis, (2) subspace stability via Procrustes principal angles, and (3) profile replicability via Tucker's congruence coefficients. BCa bootstrap confidence intervals for core-profile coordinates are computed via the canonical 'boot' package implementation of Davison and Hinkley (1997) <doi:10.1017/CBO9780511802843>.

Version:	0.1.1
Depends:	R (≥ 4.1.0)
Imports:	boot, graphics, stats, utils
Suggests:	knitr, rmarkdown, testthat (≥ 3.0.0)
Published:	2026-04-15
DOI:	10.32614/CRAN.package.FAPA (may not be active yet)
Author:	Se-Kang Kim [aut, cre]
Maintainer:	Se-Kang Kim <se-kang.kim at bcm.edu>
BugReports:	https://github.com/sekangakim/FAPA/issues
License:	MIT + file LICENSE
URL:	https://github.com/sekangakim/FAPA
NeedsCompilation:	no
Citation:	FAPA citation info
Materials:	README, NEWS
CRAN checks:	FAPA results

Documentation:

Reference manual:	FAPA.html , FAPA.pdf
Vignettes:	FAPA: A complete worked example (source, R code)

Downloads:

Package source:	FAPA_0.1.1.tar.gz
Windows binaries:	r-devel: not available, r-release: not available, r-oldrel: not available
macOS binaries:	r-release (arm64): not available, r-oldrel (arm64): not available, r-release (x86_64): FAPA_0.1.1.tgz, r-oldrel (x86_64): not available

Linking:

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