The asymptotic bias of minimum trace factor analysis, with applications to the greatest lower bound to reliability

By Alexander Shapiro, J. F. Berge. 2000

43 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Management Science and Operations Research, Statistics and Probability

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Citations in the corpus

Principal Components and Regularized Estimation of Factor Models (2017, background): “Other restrictions are considered in Stock and Watson (2016). The Appendix provides an example how to implement the restrictions in matlab.”
On the Use, the Misuse, and the Very Limited Usefulness of Cronbach’s Alpha (2008, background): “needed (e.g., Shapiro & Ten Berge, 2000; Verhelst, 1998) and psychometrics might spend more energy in favor of this just cause.”
Statistical inference of minimum rank factor analysis (2002, methodology): “This method was originally proposed by ten Berge and Kiers (1991) as AMRFA, but the "A" of approximate has worn oft" in the meantime.”
Best Alternatives to Cronbach's Alpha Reliability in Realistic Conditions: Congeneric and Asymmetrical Measurements (2016, methodology): “…lower bound; indeed this name is given to the Greatest Lower Bound method (GLB) which is the best possible approximation from a theoretical angle (Jackson and Agunwamba, 1977; Woodhouse and Jackson, 1977; Shapiro and ten Berge, 2000; Sočan, 2000; ten Berge and Sočan, 2004; Sijtsma, 2009).”
The greatest lower bound to the reliability of a test and the hypothesis of unidimensionality (2004, methodology): “Whereas alpha in small samples tends to slightly underestimate the population value (Feldt, Woodruff, & Salih, 1987; Van Zijl, Neudecker, & Nel, 2000; Yuan & Bentler, 2002), ,~4 and glb may grossly overestimate the population values when computed in small samples (Verhelst, 1998; Shapiro & Ten Berg”