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      Evaluating a Method to Estimate Mediation Effects With Discrete-Time Survival Outcomes

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          Abstract

          The utility of evaluating mediation effects spans across research domains. The model facilitates investigation of underlying mechanisms of event timing and, as such, has the potential to help strengthen etiological research and inform intervention work that incorporates the evaluation of mediating variables. In order for the analyses to be maximally useful however, it is critical to employ methodology appropriate for the data under investigation. The purpose of this paper is to evaluate a regression-based approach to estimating mediation effects with discrete-time survival outcomes. We empirically evaluate the performance of the discrete-time survival mediation model in a statistical simulation study, and demonstrate that results are functionally equivalent to estimates garnered from a potential-outcomes framework. Simulation results indicate that parameter estimates of mediation in the model were statistically accurate and precise across the range of examined conditions. Type 1 error rates were also tolerable in the conditions studied. Adequate power to detect effects in the model, with binary X and continuous M variables, required effect sizes of the mediation paths to be medium or large. Possible extensions of the model are also considered.

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          Most cited references54

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          Process Analysis: Estimating Mediation in Treatment Evaluations

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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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              Discrete-Time Methods for the Analysis of Event Histories

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                Author and article information

                Contributors
                Journal
                Front Psychol
                Front Psychol
                Front. Psychol.
                Frontiers in Psychology
                Frontiers Media S.A.
                1664-1078
                05 April 2019
                2019
                : 10
                : 740
                Affiliations
                [1] 1Department of Psychology, University of South Carolina , Columbia, SC, United States
                [2] 2Curry School of Education, University of Virginia , Charlottesville, VA, United States
                [3] 3Department of Population Health Sciences, Georgia State University , Atlanta, GA, United States
                Author notes

                Edited by: Pietro Cipresso, Istituto Auxologico Italiano (IRCCS), Italy

                Reviewed by: Andreas Ivarsson, Halmstad University, Sweden; Mashhood Ahmed Sheikh, UiT The Arctic University of Norway, Norway

                *Correspondence: Amanda Jane Fairchild, afairchi@ 123456mailbox.sc.edu

                This article was submitted to Quantitative Psychology and Measurement, a section of the journal Frontiers in Psychology

                Article
                10.3389/fpsyg.2019.00740
                6460901
                46181912-d292-430b-ab27-6fe5c5ddf17a
                Copyright © 2019 Fairchild, Cai, McDaniel, Shi, Gottschall and Masyn.

                This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

                History
                : 11 November 2018
                : 16 March 2019
                Page count
                Figures: 8, Tables: 1, Equations: 14, References: 81, Pages: 11, Words: 0
                Funding
                Funded by: National Institute on Drug Abuse 10.13039/100000026
                Categories
                Psychology
                Methods

                Clinical Psychology & Psychiatry
                event history,discrete-time,survival analysis,mediation,onset
                Clinical Psychology & Psychiatry
                event history, discrete-time, survival analysis, mediation, onset

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