Gradient Projection Algorithms and Software for Arbitrary Rotation Criteria in Factor Analysis
By C. Bernaards, Robert I. Jennrich. 2005
540 citations recorded by the source corpus.
Subfields: Applied Mathematics, Automotive Engineering, Mechanical Engineering
View Paper: https://www.semanticscholar.org/paper/c08370cc370463fc8d794f65bbfb9b0d9e406500
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Rahul Mazumder
- Dimitris J. Bertsimas
- C. Zygmont
- R. Chalmers
- Steffen Nestler
- J. D. de Winter
- Mario R. Smith
- Peter A. Wieringa
In Automotive Engineering
- R. Chalmers
- J. D. de Winter
- Peter A. Wieringa
- Dimitra Dodou
- Amy Devine
- Dénes Szűcs
- E. Carey
- Francesca Hill
In Mechanical Engineering
- R. Chalmers
- J. D. de Winter
- Peter A. Wieringa
- Dimitra Dodou
- Amy Devine
- Dénes Szűcs
- E. Carey
- Francesca Hill
Citations in the corpus
- Robust factor analysis in the presence of normality violations, missing data, and outliers: Empirical questions and possible solutions (2014, background): “…objective functions from several different approaches are available, and different rotation criteria inversely affect cross-loadings and inter-factor correlations, researchers should investigate and compare results from several rotation methods (Bernaards & Jennrich, 2005; Schmitt & Sass, 2011).”
- Cross-validation of the short form of the physical self-inventory (PSI-S) using exploratory structural equation modeling (ESEM) (2011, unknown): “More details on alternative rotations are available elsewhere (Asparouhov & Muthén, 2009; Bernaards & Jennrich, 2005; Browne, 2001; Jennrich, 2007; Sass & Schmitt, 2010; Schmitt & Sass, 2011).”
- Exploratory Factor Analysis With Small Sample Sizes (2009, methodology): “The Pearson correlation matrix of the sample observation matrix was submitted to principal axis factoring (maximum number of iterations: 9,999; iterative procedure continues until the maximum absolute difference of communalities was smaller than 10 −3 ) and oblique direct quartimin rotation (ie, obl”
- Should Regularization Replace Simple Structure Rotation in Exploratory Factor Analysis? (2019, background): “0:5), or Facparsim rotations from the GPArotation package GPArotation (Bernaards & Jennrich, 2005).”
- mirt: A Multidimensional Item Response Theory Package for the R Environment (2012, methodology): “The default rotation method is the varimax criterion, but many other rotations available in the GPArotation package (Bernaards and Jennrich 2005) are integrated into the function to save the user time and effort.”
- Cognitive and Emotional Math Problems Largely Dissociate: Prevalence of Developmental Dyscalculia and Mathematics Anxiety (2017, methodology): “Analyses were done in MATLAB 8.5 (MATLAB, 2015), and in R (R Core Team, 2016) using the GPArotation, psych, and Rcmdr packages (Bernaards & Jennrich, 2005; Fox, 2005; Revelle, 2013).”
- Certifiably Optimal Low Rank Factor Analysis (2016, background): “We generated a matrix L p × R := (( L ij )) (with R p ) with L ij iid ∼ N (0 , 1).”