A structural equation modeling based method is outlined that accomplishes interval estimation of individual optimal scores resulting from multiple-component measuring instruments evaluating single underlying latent dimensions. The procedure capitalizes on the linear combination of a prespecified set of measures that is associated with maximal reliability and validity. The approach is useful when one is interested in evaluating plausible ranges for subject scores on the composite exhibiting highest measurement consistency and strongest linear relation with a given criterion. The method is illustrated with a numerical example.