This example demonstrates the use of the Stata 11.1 sgmediation command with survey correction and a subpopulation indicator.

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1 Analysis Example-Stata 11.0 sgmediation Command with Survey Data Correction March 25, 2011 This example demonstrates the use of the Stata 11.1 sgmediation command with survey correction and a subpopulation indicator. The NCS-R data is used in this example. The model is defined as the dependent variable=household income, independent variable=age and mediation variable=obesity status in 6 categories. This model can be regarded as age (IV) influences obesity (MV) which in turn influences household income (DV). This command performs the complex sample adjusted Sobel-Goodman test to test whether a mediator carries the influence of an independent variable to a dependent variable. See the Stata help for sgmediation for details on this approach. The use of a subpop statement is also included in this example. Use of the svyset command must precede the modeling.. use f:\brahms\applied_analysis_book\ncsrsubset_dec15.dta, clear. * set survey variables. svyset seclustr [pweight=ncsrwtlg], strata(sestrat) vce(linearized) singleunit(missing) pweight: ncsrwtlg VCE: linearized Single unit: missing Strata 1: sestrat SU 1: seclustr FPC 1: <zero>. svydes sestrat seclustr Survey: Describing stage 1 sampling units pweight: ncsrwtlg VCE: linearized Single unit: missing Strata 1: sestrat SU 1: seclustr FPC 1: <zero> #Obs with #Obs with #Obs per included Unit #Units #Units complete missing Stratum included omitted data data min mean max

2 = #Obs with missing values in the survey characteristcs * do analysis of household income predicted by age and mediated by obesity status, with survey correction. sgmediation hhinc, mv(obese6ca) iv(age) prefix(svy:) Model with dv regressed on iv (path c) F( 1, 42) = 7.34 Prob > F = R-squared = age _cons Model with mediator regressed on iv (path a) F( 1, 42) = Prob > F = R-squared = obese6ca Coef. Std. Err. t P> t [95% Conf. Interval] age _cons

3 Model with dv regressed on mediator and iv (paths b and c') F( 2, 41) = 4.75 Prob > F = R-squared = obese6ca age _cons Sobel-Goodman Mediation Tests Coef Std Err Z P> Z Sobel Goodman Goodman Indirect effect = Direct effect = Total effect = Proportion of total effect that is mediated: Ratio of indirect to direct effect:

4 . * repeat analysis with female subpopulation indicator. sgmediation hhinc, mv(obese6ca) iv(age) prefix(svy, subpop(sexf):) Model with dv regressed on iv (path c) Subpop. no. of obs = 3251 Subpop. size = F( 1, 42) = Prob > F = R-squared = age _cons Model with mediator regressed on iv (path a) Subpop. no. of obs = 3251 Subpop. size = F( 1, 42) = Prob > F = R-squared = obese6ca Coef. Std. Err. t P> t [95% Conf. Interval] age _cons Model with dv regressed on mediator and iv (paths b and c') Subpop. no. of obs = 3251 Subpop. size = F( 2, 41) = Prob > F = R-squared = obese6ca age _cons

5 Sobel-Goodman Mediation Tests Coef Std Err Z P> Z Sobel Goodman Goodman Indirect effect = Direct effect = Total effect = Proportion of total effect that is mediated: Ratio of indirect to direct effect:

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