caa a22 4500 606242023 CHVBK 20210128101316.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s11336-014-9416-y doi (NATIONALLICENCE)springer-10.1007/s11336-014-9416-y Sparse Versus Simple Structure Loadings [Elektronische Daten] [Nickolay Trendafilov, Kohei Adachi] The component loadings are interpreted by considering their magnitudes, which indicates how strongly each of the original variables relates to the corresponding principal component. The usual ad hoc practice in the interpretation process is to ignore the variables with small absolute loadings or set to zero loadings smaller than some threshold value. This, in fact, makes the component loadings sparse in an artificial and a subjective way. We propose a new alternative approach, which produces sparse loadings in an optimal way. The introduced approach is illustrated on two well-known data sets and compared to the existing rotation methods. The Psychometric Society, 2014 principal component analysis nationallicence factor analysis nationallicence orthogonal and oblique rotations nationallicence sparseness-inducing constraints nationallicence LASSO constraints nationallicence projected gradients nationallicence Trendafilov Nickolay Department of Mathematics and Statistics, Open University, Walton Hall, MK7 6AA, Milton Keynes, UK aut Adachi Kohei Graduate School of Human Sciences, Osaka University, Suita, Japan aut Psychometrika Springer US; http://www.springer-ny.com 80/3(2015-09-01), 776-790 0033-3123 80:3<776 2015 80 11336 https://doi.org/10.1007/s11336-014-9416-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11336-014-9416-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Trendafilov Nickolay Department of Mathematics and Statistics, Open University, Walton Hall, MK7 6AA, Milton Keynes, UK aut NATIONALLICENCE 700 1- Adachi Kohei Graduate School of Human Sciences, Osaka University, Suita, Japan aut NATIONALLICENCE 773 0- Psychometrika Springer US; http://www.springer-ny.com 80/3(2015-09-01), 776-790 0033-3123 80:3<776 2015 80 11336