Abstract
Recent material is surveyed concerning the foundations of statistical models, the definition and logic of statistical inference, and the additives used in various applications of theories of inference. This background is then used to compare structural/structured models [Fraser 1966, 1968, 1979] and pivotal models [Barnard 1974, 1981]; the models are found to be identical except for nomencalture and basic justification which supports the structural format. An outline is given of the development of the structural/structured model and of the corresponding mode of inference. The recent pivotal methods of analysis are assessed with this development as background.
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