Published online by Cambridge University Press: 11 November 2008
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3 Ibid., 458.
4 Ibid., 418.
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71 Erikson, and Goldthorpe, , Constant flux, 91–2.Google Scholar The model has to be estimated in two steps. First, an iterative procedure is used to define a ‘general pattern of association’ for all points in time. Second, the change in association is modelled by one parameter for each table, describing the deviation from the general association.
72 Some of the tables contain zero in the marginal distributions, which causes estimation problems. As is customary in these cases, the content of each cell was increased by 0.5. See for example Aminzade, and Hodson, , ‘Social mobility in a mid-nineteenth-century French city’, 452Google Scholar, and Fukumoto, and Grusky, , ‘Social mobility and class structure’, 40–67.Google Scholar
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78 Before these models can be tested, assumptions have to be made as to how to treat the diagonal cells of the mobility table. In this case, diagonal cells have been treated separately from non-diagonal cells, on the assumption that the various occupational classes show different degrees of immobility which do not change over time. Other assumptions produce slightly different parameter estimates, but the conclusions remain the same.
79 Compare Fukumoto and Grusky, ‘Social mobility and class structure’; Ganzeboom, Luijkx, and Treiman, ‘Class mobility in comparative perspective’; and Hauser, ‘Occupational Status’.
80 The conclusions concerning changes in association (presented in section VIII) still hold when using heterogeneous class positions in the models. Farmers were excluded from these analyses, because their class position is undefined in the later tables which contain no, or very few, farmers. Conclusions based on analyses with heterogeneous class positions did not differ from those based on analyses with homogeneous class positions.
81 Another possibility would be to carry out separate analyses for the tables before 1906 and the tables after 1926. However, an analysis including all tables and correcting for the measurement breach has two advantages. Technically, it is a more powerful test of changes in relative mobility. Moreover, research has shown that if relative mobility changes, this happens slowly. Therefore, data covering a long period are necessary to detect any change.
82 It is, for instance, possible that the turbulent history of Berlin produced a higher openness than in more tranquil regions. This does not invalidate the conclusions for Berlin, and, moreover, only more historical research could demonstrate whether this is true or not.