If we were in Slomczynski and Krauze's position, we too might be tempted to change the subject to a discussion of the sociology of science. But we are not they, and we shall not do so. We are gratified that Slomczynski and Krauze have at least counted our criticisms of their paper; we wish they had responded to more of them. The issue is not how many criticisms we offered, but whether they are correct. In our opinion, the criticisms we have made of their work are a function of its scholarly and scientific quality, and many of them have nothing to do with the merits of their matrix decomposition. We stand by our representation of Slomczynski and Krauze's (1987) work, by our reanalyses of it, and by our extensions of the Sobel-Hout-Duncan (1985) model. We continue to invite Slomczynski and Krauze to make a listing of all of their data available to other scholars, and we continue to encourage an open debate about the merits of their proposal. ' It is notable that their present response remains silent on some of our strongest comments and criticisms. The authors are unable to explain why some of their reported results cannot be replicated (Hauser and Grusky 1988); they offer no defense for their use of odds ratios to measure cross-national variations in observed (Hauser and Grusky 1988); they provide no justification for their joint testing procedures (Hauser and Grusky 1988); and they offer no rationale for resorting to rudimentary loglinear models in their analyses of mobility (Hauser and Grusky 1988). However, Slomczynski and Krauze do comment on some specific points in our work, and we think it appropriate to respond to those comments. In their section titled Disparities in Results, they admit to shifting their operational definition of yet they attempt to minimize the importance of this redefinition. We demonstrated that, without this redefinition, the outcomes of their empirical tests are dominated by the treatment of diagonal entries.2 With the redefinition, they are no longer analyzing as they earlier defined and attempted to justify the concept. Indeed, under their original definition of the odds ratios used in their correlation analysis would equal zero or be undefined. Slomczynski and Krauze attempt to justify the violations of marginal invariance and autonomy in their scheme by reference to other measures that also lack those properties. They are right that many other measures of are not invariant and autonomous. These types of measures are legitimately used when researchers do not wish to control for the size and shape of class or occupational structures. However, in any measure purporting to represent circulation mobility, it is essential to control for the forces of occupational supply and demand. The measures proposed by Slomczynski and Krauze, as well as the earlier ones they cite, do not solve this key problem in comparative analy* Direct all correspondence to Professor Robert M. Hauser, Department of Sociology, The University of Wisconsin-Madison, 1180 Observatory Drive, Madison, Wisconsin 53706. We thank Raymond Sin-Kwok Wong, Yu Xie, and Michael Sobel for helpful comments. The opinions expressed herein are those of the authors. 1 We want to clarify the situation with regard to data-sharing. As we stated in our paper, Slomczynski and Krauze did give us a listing of percentages in each category of their 22-nation data. We thanked them for that. With minor exceptions, they referred us to source publications for the original counts, and for a listing of their independent variables. This was not satisfactory. We did not think a claim of comparability could be justified unless we produced the findings in their correlation analysis, and this effort turned into a guessing game without their listing of the data. We were unable to reproduce their correlation analysis using the information Slomczynski and Krauze provided about the sources of their independent variables. 2 We also documented other defects in the empirical testing procedures of Slomczynski and Krauze on which they did not comment.
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