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The article focuses on prediction logic and quasi-independence in empirical evaluation of formal theory. In the paper by researchers D.K. Hildebrand, J.D. Laing and H.L. Rosenthal, a paradigm for the statement and empirical evaluation of a class of propositions predicting specific relations between qualitative variables was proposed. The approach represents a substantial departure from traditional modes of analysis. Consequently, it is not surprising that one encounters resistance and misunderstanding in those who work in different traditions. The lengthy critique of the paper by researchers L.A. Goodman and W.H. Kruskal, henceforth G&K, illustrates the inappropriateness of evaluating the paradigm using traditional perspectives. G&K operate in two contexts: measures of association and multiplicative models for probabilities in cross-classifications. The primary objective in the paper discussed by G&K was to design a general model that provides a distinct and operationally interpretable measure of the prediction success attained in a population by any logically distinct proposition stated, a priori, in the prediction logic.

This paper proposes an approach to data analysis that assists the investigator in discriminating among specific relations corresponding to alternative scientific predictions about qualitative variates. [ABSTRACT FROM AUTHOR]

The article focuses on empirical evaluation of formal theory. In the paper by researchers D.K. Hildebrand, J.D. Laing and H.L. Rosenthal, henceforth HLR, proposed an index to measure the adequacy of a particular kind of theory when confronted with harsh facts. The authors L.A. Goodman and W.H. Kruskal, henceforth GK, presented a critical analysis, together with constructive proposals towards partial mitigation of the flaws and gaps they found in HLR. The authors do not agree with the rationales given in HLR for the independence like denominator of the proposed index. One can, however, take the index as given and ask how it performs. It was noted in GK that the HLR index compares the theoretically empty cells with the multiplicative yardstick probabilities for those cells, and no adequate justification for this comparison was found. This is so for both the unweighted and weighted forms of the index. In GK, some modest ways around this problem was suggested without claiming necessarily wide applicability for the suggestions.