To what extent can communalities reduce rank?

By L. Guttman. 1958

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Dimitris J. Bertsimas
2. Rahul Mazumder
3. J. F. Berge
4. Martin S. Copenhaver
5. Alexander Shapiro
6. Gregor Socan
7. Francis R. Bach
8. Arkadi Nemirovski

Citations in the corpus

• The greatest lower bound to the reliability of a test and the hypothesis of unidimensionality (2004, background): “More generally, Wilson and Worcester (1939), Guttman (1958) , and Bekker and De Leeuw (1987) have argued that rank-reduction of a covariance matrix by reducing diagonal elements does not carry a long way.”
• Statistical inference of minimum rank factor analysis (2002, background): “low reduced rank will never be attained in practice, see Guttman (1958) and Shapiro (1982).”
• Certifiably Optimal Low Rank Factor Analysis (2016, methodology): “In a classical paper Guttman (1958), the author argued based on psychometric evidence that Σ c is often found to have high algebraic rank.”