BIAS REDUCTION OF ESTIMATED STANDARD ERRORS IN FACTOR ANALYSIS
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- Ogasawara Haruhiko
- Department of Information and Management Science, Otaru University of Commerce
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Abstract
Formulas for the asymptotic biases of the estimators of the normal theory standard errors in factor analysis are given with and without the assumption of multivariate normality for observed variables. The biases are derived from the asymptotic variances of standard error estimators and the asymptotic biases of the estimated variances of parameter estimators. The latter biases are derived from the asymptotic variances/covariances and asymptotic biases of the parameter estimators. The formulas cover the cases for unstandardized and standardized variables. Numerical examples using factor analysis models show the accuracy of the formulas. The biases of standard error estimators are theoretically and empirically shown to be of the same order as that of the differences between the asymptotic standard errors neglecting higher-order terms and those considering them.
Journal
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- Behaviormetrika
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Behaviormetrika 32 (1), 9-28, 2005
The Behaviormetric Society
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Keywords
Details 詳細情報について
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- CRID
- 1390001205112727424
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- NII Article ID
- 110003709217
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- NII Book ID
- AA12022276
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- ISSN
- 13496964
- 03857417
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- MRID
- 2120949
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- Text Lang
- en
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- Data Source
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- JaLC
- IRDB
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed