By Shelby J. Haberman

Research of Qualitative information

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53, while the change in degrees of freedom is 4. 14a y-parameter equal to ft* k* xf u * x$lk. xfu* x%lk* xfu* x£lfc* 1 1 l l l l 1 1 -1 1 0 -2 0 0 2 -2 -1 -1 1 1 0 0 -2 -2 0 0 2 -2 0 0 2 -2 l 1 l l l l 1 1 0 -2 1 1 -1 1 -1 1 0 0 -2 -2 1 1 1 1 0 -2 0 -2 0 -2 0 -2 1 1 0 -2 0 -2 0 0 2 -2 0 0 -2 -2 0 0 -2 -2 0 0 0 4 0 0 0 4 1 1 0 -2 -1 1 1 -1 -1 1 0 0 -2 -2 -1 -1 1 1 0 2 0 -2 0 2 0 -2 tf 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 lì ti yc2 y? y? 14 Parameter >'? Ϊ2 / 1 ή y?

3 MULTINOMIAL RESPONSE MODELS—INDEPENDENT VARIABLES 417 time and in terms of computer storage requirements. h. The usual procedure for selection of starting values leads to 'khO = It Kh — K = h, Κ„Φ k. A starting value of this sort is acceptable, however, convergence is slower than when the algorithm is applied to tables in which cell counts are large. In this example, computations are much less expensive if based on the table of counts nsyk. Here there are nsyk subjects h with sex Sh = s, education Yh = y, and response Kh = k.

This statement holds since τ ^ ^ ^ is constant under the hierarchical model with generating class AD and BCD. The present model is more restrictive than this hierarchical model, so T^^f 3)jk is surely inde pendent of j and k. Given that orthogonal scores are present, the result will hold if yifD = 0, 1 < / < 2, y^D = 0, 1 < k! < 2, and y*ffi = 0, 1 < k! < 2, 1 < / < 2, even if other y-parameters are not 0. 025. It can be shown that tf? / so that yff corresponds to - i ^ ^ . 11. Consequently, 4yff measures the change in the relative log odds of favorable and unfavorable attitudes toward nontherapeutic abortions from 1972 to 1974.