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. 2015 May 10;13:12. doi: 10.1186/s12963-015-0045-1

Table 1.

Approaches used to construct variables to model the effects of collective efficacy or related social-environmental variables, such as income inequality or social capital

Variable approach Description Examples
Derived variable Derived variables are created by summarizing the characteristics of individuals within a group, using means, medians, proportions, or measures of dispersion (e.g., variances) or other aggregation approaches
 Based on group-level mean Use average individual responses to items on a given scale; these means are then subsequently averaged across individuals living in the same context (e.g., neighborhood) to arrive at a contextual-level measure. [10,14,16,17]
 Based on group-level variance Use average individual responses to items on a given scale; the variance (or standard deviation) in these means are then examined among individuals living in the same context (e.g., neighborhood) to arrive at a contextual-level measure. [19]
Factor Analysis Capture the shared variance among an observed set of variables in terms of a potentially smaller number of unobserved constructs or latent factors.
 Single-level factor analysis Latent factors are estimated at only one level (i.e., the individual or contextual level). [18]
 Multilevel factor analysis (MLFA) Latent factors are estimated at two-levels of analysis. Latent factors structures can differ at each level of analysis. [24-28]
Hierarchical Latent Variable Model A special case of the 2-level MLFA that imposes stricter parameter constraints than the most general MLFA wherein latent factors are estimated at only the individual level with the factor variances decomposed into within- and between-group components. [9,51]