STRUCTURES OF WELL-BEING Sufficient Conditions for Identification as Restricted Covariance Models

An example demonstrates that Joreskog’s (1969) suggested sufficient condi-tions for identifying unknown parameters in a confirmatory factor analytic model with correlated factors are not sufficrent. Sufficient conditions for identifying parameters in the class of models used by Burt et al. (1978) to estimate population structures of well-being from various indicators of satisfaction are given. The six hypotheses stated in Burt et al. are reconsidered and similarly supported when their final covariance model is restricted so as to meet the sufficiency conditions given here. b burt et al. (1978) propose a concept of the &dquo;structure of well-being&dquo; composed of dimensions of well-being in terms of which individuals perceive satisfaction with specific conditions in their lives. an individual’s satisfaction with some condition j (police service, health service, his job, his income, or the like) is given as: yj = (ÔJl~1 + b12t2 +... + 6jm£m) + wj, where yj is individual satisfaction with condition j, ~1 through ~m are the individual’s feelings on M dimensions of latent dimen-sions of well-being, 6ji through 6jm are epistemic coefficients AUTHORS ’ NOTE: Frank M. Andrews and Aubrey McKennell demonstrated that Figure 2 of Burt et al. (1978) was unidentified by obtaining different estimate