Asymptotic and resampling strategies for assessing and comparing indirect effects in multiple mediator models

Hypotheses involving mediation are common in the behavioral sciences. Mediation exists when a predictor affects a dependent variable indirectly through at least one intervening variable, or mediator. Methods to assess mediation involving multiple simultaneous mediators have received little attention in the methodological literature despite a clear need. We provide an overview of simple and multiple mediation and explore three approaches that can be used to investigate indirect processes, as well as methods for contrasting two or more mediators within a single model. We present an illustrative example, assessing and contrasting potential mediators of the relationship between the helpfulness of socialization agents and job satisfaction. We also provide SAS and SPSS macros, as well as Mplus and LISREL syntax, to facilitate the use of these methods in applications.

[1]  S. Fiske,et al.  The Handbook of Social Psychology , 1935 .

[2]  C. Craig On the Frequency Function of $xy$ , 1936 .

[3]  Leo A. Aroian,et al.  The probability function of the product of two normally distributed variables. , 1947 .

[4]  J. Wolfowitz,et al.  Introduction to the Theory of Statistics. , 1951 .

[5]  R. Hauser,et al.  The Decomposition of Effects in Path Analysis , 1975 .

[6]  Stephen E. Fienberg,et al.  Discrete Multivariate Analysis: Theory and Practice , 1976 .

[7]  Jacob Cohen,et al.  Applied multiple regression/correlation analysis for the behavioral sciences , 1979 .

[8]  P. R. Nelson The algebra of random variables , 1979 .

[9]  Henk Folmer,et al.  Measurement of the Effects of Regional Policy Instruments by Means of Linear Structural Equation Models and Panel Data , 1981 .

[10]  M. Sobel Asymptotic Confidence Intervals for Indirect Effects in Structural Equation Models , 1982 .

[11]  J. Fox,et al.  Effect Analysis in Structural-Equation Models II , 1985 .

[12]  Icek Ajzen,et al.  From Intentions to Actions: A Theory of Planned Behavior , 1985 .

[13]  D. A. Kenny,et al.  The moderator-mediator variable distinction in social psychological research: conceptual, strategic, and statistical considerations. , 1986, Journal of personality and social psychology.

[14]  M. Sobel Some New Results on Indirect Effects and Their Standard Errors in Covariance Structure Models , 1986 .

[15]  M. Sobel Direct and Indirect Effects in Linear Structural Equation Models , 1987 .

[16]  Kenneth A. Bollen,et al.  Total, Direct, and Indirect Effects in Structural Equation Models , 1987 .

[17]  B. Efron Better Bootstrap Confidence Intervals , 1987 .

[18]  Karl G. Jöreskog,et al.  Lisrel 8: User's Reference Guide , 1997 .

[19]  Robert A. Stine,et al.  An Introduction to Bootstrap Methods , 1989 .

[20]  K. Bollen,et al.  DIRECT AND INDIRECT EFFECTS: CLASSICAL AND BOOTSTRAP ESTIMATES OF VARIABILITY , 1990 .

[21]  Clement A. Stone,et al.  The robustness of estimates of total indirect effects in covariance structure models estimated by maximum , 1990 .

[22]  G. Oehlert A note on the delta method , 1992 .

[23]  D. Mackinnon,et al.  Estimating Mediated Effects in Prevention Studies , 1993 .

[24]  E. Ziegel,et al.  Bootstrapping: A Nonparametric Approach to Statistical Inference , 1993 .

[25]  D P MacKinnon,et al.  Analysis of mediating variables in prevention and intervention research. , 1994, NIDA research monograph.

[26]  S. West,et al.  Increasing screening mammography in asymptomatic women: evaluation of a second-generation, theory-based program. , 1994, Health psychology : official journal of the Division of Health Psychology, American Psychological Association.

[27]  H. Klein,et al.  Organizational socialization: Its content and consequences. , 1994 .

[28]  D. Mackinnon,et al.  A Simulation Study of Mediated Effect Measures. , 1995, Multivariate behavioral research.

[29]  A. Saks Longitudinal field investigation of the moderating and mediating effects of self-efficacy on the relationship between training and newcomer adjustment. , 1995, The Journal of applied psychology.

[30]  S. West,et al.  Toward understanding individual effects in multicomponent prevention programs: Design and analysis strategies. , 1997 .

[31]  Roger L. Brown Assessing specific mediational effects in complex theoretical models , 1997 .

[32]  David P. MacKinnon,et al.  Bootstrapping the Standard Error of the Mediated Effect , 1998 .

[33]  D. A. Kenny,et al.  Data analysis in social psychology. , 1998 .

[34]  Brian P. Flaherty,et al.  An Alternative Framework for Defining Mediation. , 1998, Multivariate behavioral research.

[35]  J. Rodgers,et al.  The Bootstrap, the Jackknife, and the Randomization Test: A Sampling Taxonomy. , 1999, Multivariate behavioral research.

[36]  C. Lunneborg Data Analysis by Resampling: Concepts and Applications , 1999 .

[37]  Clark C. Presson,et al.  Multivariate applications in substance use research : new methods for new questions , 2000 .

[38]  D. Mackinnon Contrasts in multiple mediator models. , 2000 .

[39]  G. Holmbeck Post-hoc probing of significant moderational and mediational effects in studies of pediatric populations. , 2002, Journal of pediatric psychology.

[40]  S. West,et al.  A comparison of methods to test mediation and other intervening variable effects. , 2002, Psychological methods.

[41]  P. Shrout,et al.  Mediation in experimental and nonexperimental studies: new procedures and recommendations. , 2002, Psychological methods.

[42]  R. L. Holbert,et al.  The Importance of Indirect Effects in Media Effects Research: Testing for Mediation in Structural Equation Modeling , 2003 .

[43]  Dhavan V. Shah,et al.  Political Implications of Prime-Time Drama and Sitcom Use: Genres of Representation and Opinions Concerning Women's Rights , 2003 .

[44]  S. Maxwell,et al.  Testing mediational models with longitudinal data: questions and tips in the use of structural equation modeling. , 2003, Journal of abnormal psychology.

[45]  G. A. Marcoulides,et al.  Using the Delta Method for Approximate Interval Estimation of Parameter Functions in SEM , 2004 .

[46]  David P Mackinnon,et al.  Confidence Limits for the Indirect Effect: Distribution of the Product and Resampling Methods , 2004, Multivariate behavioral research.

[47]  Kristopher J Preacher,et al.  SPSS and SAS procedures for estimating indirect effects in simple mediation models , 2004, Behavior research methods, instruments, & computers : a journal of the Psychonomic Society, Inc.

[48]  Quality of life and post trauma symptomatology in motor vehicle accident survivors: The mediating effects of depression and anxiety , 2004, Depression and anxiety.

[49]  C. Perry,et al.  Contrasting mediating variables in two 5-a-day nutrition intervention programs. , 2004, Preventive medicine.

[50]  W. Dudley,et al.  SPSS and SAS Programming for the Testing of Mediation Models , 2004, Nursing research.

[51]  H. V. D. Flier,et al.  PREDICTORS OF JOB SEARCH BEHAVIOR AMONG EMPLOYED AND UNEMPLOYED PEOPLE , 2004 .

[52]  D. Mackinnon,et al.  Equivalence of the Mediation, Confounding and Suppression Effect , 2000, Prevention Science.

[53]  R. Dodhia A Review of Applied Multiple Regression/Correlation Analysis for the Behavioral Sciences (3rd ed.) , 2005 .

[54]  M. Wood Bootstrapped Confidence Intervals as an Approach to Statistical Inference , 2005 .

[55]  Monica A Hemingway,et al.  The importance of job autonomy, cognitive ability, and job-related skill for predicting role breadth and job performance. , 2005, The Journal of applied psychology.

[56]  Jana L. Raver,et al.  Beyond the Individual Victim: Linking Sexual Harassment, Team Processes, and Team Performance , 2005 .

[57]  Julian Barling,et al.  High-performance work systems and occupational safety. , 2005, The Journal of applied psychology.

[58]  Phillip I. Good,et al.  Resampling Methods: A Practical Guide to Data Analysis , 2005 .

[59]  D. Hine,et al.  Sex Differences in Workplace Aggression: An Investigation of Moderation and Mediation Effects , 2005 .

[60]  Nancy Briggs Estimation of the standard error and confidence interval of the indirect effect in multiple mediator models , 2006 .

[61]  Kristopher J Preacher,et al.  The effects of early socialization experiences on content mastery and outcomes: A mediational approach , 2006 .

[62]  S. Shyam Sundar,et al.  The Psychological Appeal of Personalized Content in Web Portals: Does Customization Affect Attitudes and Behavior? , 2006 .

[63]  Mike W.-L. Cheung,et al.  Comparison of Approaches to Constructing Confidence Intervals for Mediating Effects Using Structural Equation Models , 2007 .

[64]  Matthew S. Fritz,et al.  Distribution of the product confidence limits for the indirect effect: Program PRODCLIN , 2007, Behavior research methods.

[65]  Kristopher J Preacher,et al.  Addressing Moderated Mediation Hypotheses: Theory, Methods, and Prescriptions , 2007, Multivariate behavioral research.

[66]  A. G. D. Zavala,et al.  Need for Cognitive Closure and Conservative Political Beliefs: Differential Mediation by Personal Worldviews , 2007 .

[67]  D. Baucom,et al.  Self-expansion as a mediator of relationship improvements in a mindfulness intervention. , 2007, Journal of marital and family therapy.

[68]  M. Kenward,et al.  An Introduction to the Bootstrap , 2007 .

[69]  Madonna G. Constantine,et al.  Racial Microaggressions Against African American Clients in Cross-Racial Counseling Relationships , 2007 .

[70]  Kimberly K. Assad,et al.  Optimism: an enduring resource for romantic relationships. , 2007, Journal of personality and social psychology.

[71]  Andrew F. Hayes,et al.  The Sage sourcebook of advanced data analysis methods for communication research , 2008 .

[72]  David P Mackinnon,et al.  Resampling and Distribution of the Product Methods for Testing Indirect Effects in Complex Models , 2008, Structural equation modeling : a multidisciplinary journal.

[73]  Andrew F. Hayes,et al.  Contemporary approaches to assessing mediation in communication research. , 2008 .

[74]  D. Mackinnon,et al.  Tests of the Three-Path Mediated Effect , 2008 .