Efficiency of estimation when there is only one common factor

Efficiency of estimation when there is only one common factor

by Frederic M. Lord, Marilyn S. Wingersky

Part of Research bulletin -- RB-71-16

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Explicit formulas are derived for the asymptotic sampling variances and covariances of the maximum likelihood estimators for factor-analysis parameters in the special case where there is just one common factor. The effect of the number of variables on these variances and covariances is indicated. A formula is given showing to what extent the usual covariance between two of a set of variables can be estimated more efficiently when there is known to be just one common factor.

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