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      The Punishment Gap: School Suspension and Racial Disparities in Achievement

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      Social Problems

      Oxford University Press (OUP)

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            A Simulation Study of Mediated Effect Measures.

            Analytical solutions for point and variance estimators of the mediated effect, the ratio of the mediated to the direct effect, and the proportion of the total effect that is mediated were studied with statistical simulations. We compared several approximate solutions based on the multivariate delta method and second order Taylor series expansions to the empirical standard deviation of each estimator and theoretical standard error when available. The simulations consisted of 500 replications of three normally distributed variables for eight sample sizes (N = 10, 25, 50, 100, 500, 1000, and 5000) and 64 parameter value combinations. The different solutions for the standard error of the indirect effect were very similar for sample sizes of at least 50, except when the independent variable was dichotomized. A sample size of at least 500 was needed for accurate point and variance estimates of the proportion mediated. The point and variance estimates of the ratio of the mediated to nonmediated effect did not stabilize until the sample size was 2,000 for the all continuous variable case. Implications for the estimation of mediated effects in experimental and nonexperimental studies are discussed.
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              The Sociology of Discrimination: Racial Discrimination in Employment, Housing, Credit, and Consumer Markets

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                Author and article information

                Journal
                Social Problems
                Soc Probl
                Oxford University Press (OUP)
                0037-7791
                1533-8533
                January 20 2016
                February 08 2016
                : 63
                : 1
                : 68-86
                Article
                10.1093/socpro/spv026
                © 2016

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