Abstract
In 1995, a study entitled “Does Marriage Matter?” was published by Linda Waite in the journal of Demography, which was concerned with the direction of such causal relationships. While Waite’s examination of the causal relationships associated with marriage, and most other analyses of this type, is primarily concerned with the individual level effects of marriage on a variety of outcomes, little is understood concerning the ecological effect of community marriage rates on levels of aggregate well-being. This study aims to contribute to this gap through the implementation of a recent conceptualization of social well-being as a multi-dimensional measure incorporating both biological, operationalized as average life expectancy, and social phenomena, operationalized as, community level crime rates (Raphael, Making the links: what do health promotion, crime prevention, and social development have in common? in 2004). It is important to understand such aggregate level effects in the face of the existing literature, which relies heavily on relational associations which could be subject to ecological fallacy. Analytic techniques incorporate Exploratory Spatial Data Analysis and spatial regression techniques, due to the high existence of spatial autocorrelation often evident in census data, as a way of understanding the effect of the aggregate level marriage rate on the constructed social well being indicator.
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Notes
Both the percent of the households in the community that are headed by a single parent and the percent of the individuals in the community that are divorced were examined in relation to potential high levels of correlation with the percent of the population measured. Neither produced correlations, in absolute terms above 0.4, making them acceptable for inclusion as determinants. Furthermore, all Variance Inflation Factors and Tolerance scores associated with subsequent multivariate modeling procedures lacked evidence of colinearity.
The most common case is that of positive autocorrelation in which the local unit’s (i) value on a variable of interest is significantly, and positively, correlated with the average neighborhood (j) value. Less frequently, negative autocorrelation refers to an instance when a local unit’s (i) value pertaining to a specific variable is significantly in opposition to the neighborhood’s (j) average value.
Due to higher than sought after correlations between a few of the independent variables with the social disorganization framework, colinearity diagnostics were examined in conjunction with the coefficient estimates in order to ensure that the models did not violate the linear regression assumption. On that point, all models exhibited high levels of non-orthogonality, indicating no colinearity.
Geoda is an open source software package, developed by Luc Anselin, specifically designed for the analysis of data through a series of techniques designed for the identification and controlling of spatially correlated data.
Ultimately, the type of spatial autocorrelation identified involved correlating error terms within local neighborhoods. In regards to the analysis, this means that a traditional OLS approach violates the assumption of uncorrelated error terms.
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Acknowledgments
The author would like to acknowledge the helpful commentary and discussion with Dr. Frank Howell, Dr. Emory Morrison, Dr. Wesley James, and the anonymous reviewers and editor for their remarks. However, all errors of fact or interpretation are to be attributed solely to the author. Furthermore, it should be acknowledged that a previous version of this paper was honored with an award by the American Sociologial Association with an "Outstanding Student Paper of the Year" Award.
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Porter, J.R. A Simplified Indicator of Social Well-Being in the United States: Examining the Ecological Impact of Family Formation within a County Level Framework. Soc Indic Res 108, 421–440 (2012). https://doi.org/10.1007/s11205-011-9884-8
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DOI: https://doi.org/10.1007/s11205-011-9884-8