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Substantive Nonadditivity in Rural Sociological Research [microform] : A Note on Induced Collinearity and Measurement and Testing of Effects / Michael K. Miller and Frank L. Farmer
Bib ID 5471753
Format MicroformMicroform, BookBook
Author
Miller, Michael K
 
Description [Washington, D.C.] : Distributed by ERIC Clearinghouse, 1986 
28 p. 
Summary

Theories employed to explain regularities in social behavior often contain explicit or implicit reference to the presence of nonlinear and/or nonadditive (i.e., multiplicative) relationships among germane variables. While such nonadditive features are theoretically important, the inclusion of quadratic or multiplicative terms in structural equations to model such features can cause significant methodological problems. This paper estimates a set of equations and formally examines how the inclusion of quadratic terms and multiplicative interaction terms contribute to the level of collinearity of ill-conditioning of the input data matrix and the precision of the parameter estimates. It also examines how effects of explanatory variables in nonadditive models can be measured and tested for statistical significance. The issues are exemplified by estimating a set of models for age-sex adjusted mortality in the United States in 1980. Results indicate that collinearity may not be as big a problem for linear structural social science models as is often believed. Although collinearity is increased by adding quadratic and/or multiplicative terms, the effects of the collinearity tend to be localized and entail only variables with a common base. Findings suggest that the substantive insight gained from including theoretically appropriate nonlinear and nonadditive terms outweigh the methodological problems they create. (Author/NEC)

Notes

ERIC Note: Paper presented at the Annual Rural Sociological Society Meeting (Salt Lake City, UT, August 26-30, 1986).

Researchers.

May also be available online. Address as at 14/8/18: https://eric.ed.gov/

Reproduction Microfiche. [Washington D.C.]: ERIC Clearinghouse microfiches : positive. 
Subjects Data Analysis.  |  Hypothesis Testing.  |  Interaction.  |  Models.  |  Research Methodology.  |  Research Problems.  |  Social Science Research.  |  Sociology.  |  Statistical Analysis.  |  Statistical Significance.  |  Collinearity  |  Variables
Form/genre Reports, Research.  |  Speeches/Meeting Papers.
Other authors/contributors Farmer, Frank L., author
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