Abstract
Tucker's interbattery factor analysis model is briefly reviewed. The various transformational alternatives possible with the model are delineated, and those resulting in identical orientations of the factors -- in the interbattery factor spaces for the two batteries -- are identified and developed further. Transformation in the interbattery context is developed using the Harris-Kaiser logic of oblique factor solutions by orthonormal transformations, and methods for obtaining the necessary common orthonormal transformation matrix are discussed.

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