Best univocal estimates of orthogonal common factors |
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Authors: | A Ralph Hakstian James V Zidek Roderick P McDonald |
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Institution: | (1) Department of Psychology, University of British Columbia, Vancouver, British Columbia, Canada;(2) The Ontario Institute for Studies in Education, USA |
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Abstract: | A general formulation is presented for obtaining conditionally unbiased, univocal common-factor score estimates that have
maximum validity for the true orthogonal factor scores. We note that although this expression is formally different from both
Bartlett's formulation and Heermann's approximate expression, all three, while developed from very different rationales, yield
identical results given that the common-factor model holds for the data. Although the true factor score validities can be
raised by a different non-orthogonal transformation of orthogonalized regression estimates—as described by Mulaik—the resulting
estimates lose their univocality. |
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Keywords: | factor scores common-factor analysis univocal factor score estimates |
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