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CPS1937 Xu Sun et al.
optimal community solution may be obtained based on any number of leading
eigenvectors (see Table 3).
From the community structure, if the respondent and her father’s social class
is in the same community, the interaction between them is considered to exist,
then the design matrix for the community effect is defined (see Table 4.)
The model with community Effects is parsimonious, the community effect only
used 1 degree of freedom, and the DF the new model is 24. Meanwhile, 2
2
andL substantial decline, it implied that the community structure maybe
implemented to improve independence model fit (see Table 5.). But, in one
case, including the community effect in the log-linear model does not result
in a model that fits the observed mobility patterns. So, the second community
detection for the the new residual matrix B, B is defined as A-P, A is still the
observed mobility table, and then P is defined as the fitted values from the
model with the first community Effects that are estimated. After the second
community detection, the model fit is improve a great deal, but the log-linear
model with two community effect parameters is ill-fitting for the observed
mobility table. So the third community detection is implemented.
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