The Linear Structural Relation for Several Groups of Data

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Abstract
When observations on 2 variables are sampled from 2 or more distinct populations, the linear structural relation between the 2 variables can be estimated consistently. The maximum likelihood estimators of the parameters in the model are found; they have different forms in different parts of the sample space. A procedure for testing hypotheses about the parameter usually of principal interest, the slope of the relation, is derived; it is complicated by the unusual nature of the parameter estimators. The theory is applied to an example in which the relationship between [human] head length and breadth measurements is studied.

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