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ackwards: Bass-Ackwards Hierarchical Structural Analysis
Implements Goldberg's (2006) <doi:10.1016/j.jrp.2006.01.001> bass-ackwards method and modern descendants for hierarchical structural analysis. Extracts solutions from 1 to k factors using principal component analysis (PCA), exploratory factor analysis (EFA), or exploratory structural equation modeling (ESEM) engines, then characterizes the hierarchy via between-level factor-score correlations computed via exact linear algebra (Waller, 2007, <doi:10.1016/j.jrp.2006.08.005>) or materialized scores. Includes the Forbes (2023) <doi:10.1037/met0000546> extension for redundancy pruning and all-levels cross-correlations.
Getting started
README.md
Choosing an Engine: PCA, EFA, and ESEM
Choosing k: How Many Factors?
Customizing the Hierarchy Diagram
Interpreting and Labeling Factors
Introduction to Bass-Ackwards Analysis
Ordinal Data: Polychoric Correlations and WLSMV
Replicability-Gated Hierarchies: A Recommended Workflow
Reproducing Forbes (2023): The AMH Applied Example
The Forbes Extension: Skip-Level Connections and Pruning
Browse package contents
Package details |
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| Author | Jeffrey M. Girard [aut, cre] (ORCID: <https://orcid.org/0000-0002-7359-3746>), Miriam K. Forbes [cph] (Author of the bundled AMH correlation matrix (data/forbes2023.rda), CC-BY 4.0) |
| Maintainer | Jeffrey M. Girard <me@jmgirard.com> |
| License | MIT + file LICENSE |
| Version | 0.1.1 |
| URL | https://jmgirard.github.io/ackwards/ https://github.com/jmgirard/ackwards |
| Package repository | View on CRAN |
| Installation |
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