{
  "_id": "6a55fe0aff0138dec5d6b88b",
  "Package": "FAPA",
  "Type": "Package",
  "Title": "Factor Analytic Profile Analysis of Ipsatized Data",
  "Version": "0.1.1",
  "Date": "2026-04-08",
  "Authors@R": "person(\"Se-Kang\", \"Kim\",\nemail = \"se-kang.kim@bcm.edu\",\nrole  = c(\"aut\", \"cre\"))",
  "Description": "Implements Factor Analytic Profile Analysis of Ipsatized\nData ('FAPA'), a metric inferential framework for pattern\ndetection and person-level reconstruction in multivariate\nprofile data.  After row-centering (ipsatization) to remove\nprofile elevation, 'FAPA' applies singular value decomposition\n('SVD') to recover shared core profiles and individual pattern\nweights.  Dimensionality is determined by a variance-matched\nHorn's parallel analysis.  A three-stage bootstrap verification\nframework assesses (1) dimensionality via parallel analysis,\n(2) subspace stability via Procrustes principal angles, and (3)\nprofile replicability via Tucker's congruence coefficients. BCa\nbootstrap confidence intervals for core-profile coordinates are\ncomputed via the canonical 'boot' package implementation of\nDavison and Hinkley (1997) <doi:10.1017/CBO9780511802843>.",
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  "Encoding": "UTF-8",
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  "BugReports": "https://github.com/sekangakim/FAPA/issues",
  "Repository": "https://sekangakim.r-universe.dev",
  "Date/Publication": "2026-04-08 16:17:25 UTC",
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    "Date": "2026-07-14 09:11:21 UTC",
    "User": "root"
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  "Author": "Se-Kang Kim [aut, cre]",
  "Maintainer": "Se-Kang Kim <se-kang.kim@bcm.edu>",
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  "_published": "2026-07-14T09:14:50.151Z",
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    "fapa_core",
    "fapa_pa",
    "fapa_person",
    "fapa_procrustes",
    "fapa_tucker",
    "load_and_ipsatize",
    "plot_fapa_core",
    "plot_pa_scree",
    "plot_person_match",
    "plot_principal_angles",
    "plot_tucker_cc",
    "print_pa",
    "print_procrustes",
    "print_tucker",
    "write_fapa_results",
    "write_verification"
  ],
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      "name": "fapa_simdata",
      "title": "Synthetic EDI-2 profile data for FAPA examples",
      "object": "fapa_simdata",
      "class": [
        "data.frame"
      ],
      "fields": [],
      "rows": 0,
      "table": true,
      "tojson": true
    }
  ],
  "_help": [
    {
      "page": "FAPA-package",
      "title": "FAPA: Factor Analytic Profile Analysis of Ipsatized Data",
      "topics": [
        "FAPA-package",
        "FAPA"
      ]
    },
    {
      "page": "fapa_bca",
      "title": "BCa bootstrap confidence intervals for FAPA core profiles",
      "topics": [
        "fapa_bca"
      ]
    },
    {
      "page": "fapa_core",
      "title": "Core FAPA estimation via SVD",
      "topics": [
        "fapa_core"
      ]
    },
    {
      "page": "fapa_pa",
      "title": "Stage 1: Horn's Parallel Analysis (variance-matched bootstrap)",
      "topics": [
        "fapa_pa"
      ]
    },
    {
      "page": "fapa_person",
      "title": "Person-level reconstruction and pattern weights",
      "topics": [
        "fapa_person"
      ]
    },
    {
      "page": "fapa_procrustes",
      "title": "Stage 2: Procrustes stability via principal angles",
      "topics": [
        "fapa_procrustes"
      ]
    },
    {
      "page": "fapa_simdata",
      "title": "Synthetic EDI-2 profile data for FAPA examples",
      "topics": [
        "fapa_simdata"
      ]
    },
    {
      "page": "fapa_tucker",
      "title": "Stage 3: Profile replicability via Tucker's congruence coefficients",
      "topics": [
        "fapa_tucker"
      ]
    },
    {
      "page": "load_and_ipsatize",
      "title": "Load a CSV and ipsatize (row-centre) it",
      "topics": [
        "load_and_ipsatize"
      ]
    },
    {
      "page": "plot_fapa_core",
      "title": "Plot a core profile with BCa confidence intervals",
      "topics": [
        "plot_fapa_core"
      ]
    },
    {
      "page": "plot_pa_scree",
      "title": "Scree plot for Horn's parallel analysis",
      "topics": [
        "plot_pa_scree"
      ]
    },
    {
      "page": "plot_person_match",
      "title": "Overlay a person's ipsatized profile against FAPA core profiles",
      "topics": [
        "plot_person_match"
      ]
    },
    {
      "page": "plot_principal_angles",
      "title": "Distribution plots for Stage 2 principal angles",
      "topics": [
        "plot_principal_angles"
      ]
    },
    {
      "page": "plot_tucker_cc",
      "title": "Distribution plots for Stage 3 Tucker congruence coefficients",
      "topics": [
        "plot_tucker_cc"
      ]
    },
    {
      "page": "print_pa",
      "title": "Print a summary of Stage 1 parallel analysis results",
      "topics": [
        "print_pa"
      ]
    },
    {
      "page": "print_procrustes",
      "title": "Print a summary of Stage 2 principal-angle results",
      "topics": [
        "print_procrustes"
      ]
    },
    {
      "page": "print_tucker",
      "title": "Print a summary of Stage 3 Tucker CC results",
      "topics": [
        "print_tucker"
      ]
    },
    {
      "page": "write_fapa_results",
      "title": "Write core-profile BCa CI tables to CSV",
      "topics": [
        "write_fapa_results"
      ]
    },
    {
      "page": "write_verification",
      "title": "Write three-stage verification results to CSV",
      "topics": [
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      ]
    }
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  "_readme": "https://github.com/sekangakim/fapa/raw/HEAD/README.md",
  "_rundeps": [
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      "title": "FAPA: A complete worked example",
      "author": "Se-Kang Kim",
      "engine": "knitr::rmarkdown",
      "headings": [
        "Overview",
        "1. User settings",
        "2. Load data and ipsatize",
        "3. Stage 1 — Horn's Parallel Analysis",
        "4. Core FAPA solution",
        "5. Stage 2 — Procrustes / principal angles",
        "6. Stage 3 — Tucker's congruence coefficients",
        "7. BCa confidence intervals for core profiles",
        "8. Person-level reconstruction",
        "9. Sanity check and output",
        "Session info"
      ],
      "created": "2026-03-20 21:54:16",
      "modified": "2026-03-20 21:54:16",
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