Conditions for Factor (in)determinacy in Factor Analysis
نویسندگان
چکیده
The subject of factor indeterminacy has a vast history in factor analysis (Wilson, 1928; Lederman, 1938, Guttman, 1955). It has lead to strong differences in opinion (Steiger, 1979). The current paper gives necessary and sufficient conditions for observability of factors in terms of the parameter matrices and a finite number of variables. Five conditions are given which rigorously define indeterminacy. It is shown that (un)observable factors are (in)determinate. Specifically, the indeterminacy proof by Guttman (1955) is extended to Heywood cases. The results are illustrated by two examples and implications for indeterminacy are discussed.
منابع مشابه
Conditions for Factor in Determinacy in Factor Analysi
The subject of factor indeterminacy has a vast history in factor analysis Wil son Lederman Guttman It has lead to strong di erences in opinion Steiger The current paper gives necessary and su cient conditions for observability of factors in terms of the parameter matrices and a nite number of variables Five conditions are given which rigorously de ne indeterminacy It is shown that un observable...
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