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| Factor Analysis | 3 |
| Reliability | 2 |
| Algorithms | 1 |
| Data Analysis | 1 |
| Equations (Mathematics) | 1 |
| Estimation (Mathematics) | 1 |
| Mathematical Models | 1 |
| Matrices | 1 |
| Psychometrics | 1 |
| Sampling | 1 |
| Statistical Bias | 1 |
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| Psychometrika | 3 |
Author
| Shapiro, Alexander | 3 |
| ten Berge, Jos M. F. | 1 |
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| Journal Articles | 3 |
| Reports - Research | 2 |
| Reports - Descriptive | 1 |
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Peer reviewedShapiro, Alexander – Psychometrika, 1982
The extent to which one can reduce the rank of a symmetric matrix by only changing its diagonal entries is discussed. Extension of this work to minimum trace factor analysis is presented. (Author/JKS)
Descriptors: Data Analysis, Factor Analysis, Mathematical Models, Matrices
Peer reviewedShapiro, Alexander; ten Berge, Jos M. F. – Psychometrika, 2000
Discusses sampling bias problems in the use of the greatest lower bound (g.l.b.) to reliability and offers explicit expressions for the second order derivatives. This yields closed form expression for the asymptotic bias of both the g.l.b. and its numerator. Illustrates the approach through a numeric example. (SLD)
Descriptors: Equations (Mathematics), Factor Analysis, Reliability, Sampling
Peer reviewedShapiro, Alexander – Psychometrika, 1982
Minimum trace factor analysis has been used to find the greatest lower bound to reliability. This technique, however, fails to be scale free. A solution to the scale problem is proposed through the maximization of the greatest lower bound as the function of weights. (Author/JKS)
Descriptors: Algorithms, Estimation (Mathematics), Factor Analysis, Psychometrics
