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By Shelby J. Haberman

ISBN-10: 0123125022

ISBN-13: 9780123125026

Research of Qualitative facts

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24. 19 Response Kh Eh Response Kh Eh ++++ +++ ++- + ++ - +- ++ +- + +- - + + 5 4 4 3 4 3 3 2 1 1 2 1 3 2 3 1 - 4 3 3 2 3 2 2 1 4 4 5 2 6 3 4 1 +++ ++ +- + + - ++ - + + to questions A, B, C, and D correspond to a unique pair (Eh, Kh). Let P^kKh > 0 be the probability that Eh = e and ΧΛ = /c, let f(/c), 1 < k < 5, be the num­ ber of possible values of Eh if Kh = k, and let Pfkh = PekJPih, l r so that rnEK ehh _ nEKnK — Pek rkh- Thus the distribution of responses (Eh, Kh) depends on sex Sh and education Yh only to the extent that the distribution of the summary statistic Kh depends on Sh and Yh.

1. 4 of Volume 1. The program in the appendix can be used to implement this algorithm, although it lacks Bock and Yates' (1973) so­ phisticated procedures for automatic generation of models. Scoring Systems and ^-Parameters In hierarchical models, a set of/l-parameters with a common superscript is either set to 0 or completely unrestricted. Such a procedure does not permit any consideration of ordering of categories. Scoring systems for categories can eliminate this difficulty since they may be used to decompose all λparameters with a common superscript into components based on scores.

Ul and ^ c 3 ^ 1 , « 1 3 , , ) = 1 2 ^ ? î ? 31. Thus whether a respondent is Protestant or Catholic has a substantial effect on the interaction between education and attitudes when the comparison involves the lowest and highest educational groups and the least and most favorable attitudes toward abortion. 3 MULTINOMIAL RESPONSE MODELS—INDEPENDENT VARIABLES 411 interaction is not affected by whether the respondent is a Northern or South­ ern Protestant. 6. This section illustrates use of orthogonal scores with contingency tables involving at least three variables.

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Analysis of Qualitative Data. New Developments by Shelby J. Haberman

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