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Statistical Mediation   Super Mediation Man!
What is mediation? gototop.tif (4218 bytes)
Once a relationship between two variables is established, it is common for researchers to consider the role of other variables in this relationship (Lazarsfeld, 1955). In one situation, moderation or effect modification, an observed relationship may be different at different levels of a third variable. In a second situation, which is the focus of this site, a third variable provides a clearer interpretation of the relationship between the two variables. A clearer interpretation may be obtained by elucidating the causal process among the three variables, a mediational hypothesis. 

The mediational hypothesis reflects causal hypotheses about variables. In this afile:///C:/Documents%20and%20Settings/cbay1/Application%20Data/SSH/temp/sent.htmpproach, the relationship between an independent variable and a dependent variable is decomposed into direct and indirect (mediated) effects as shown below:

medmod2.gif (3169 bytes)

Mediation implies a causal hypothesis whereby an independent variable causes a mediator which causes a dependent variable (Holland, 1988; Sobel, 1990). 


How are mediated effects calculated? gototop.tif (4218 bytes)

The general model is described in terms of mediated effects. We assume multivariate normal distributions and normally distributed error terms throughout. The effect of adding a third variable can be calculated in two ways (MacKinnon, Warsi, & Dwyer, 1995) based on either the difference between two regression parameters (t - t') or the multiplication of two regression parameters (ab). The equivalence of the two methods was shown in MacKinnon et al. (1995). In the first method, the following two regression equations are estimated.  Model 1: Y = b01 + t X + e1  Model 2: Y = b02 + t' X + bM + e2 Y is the outcome variable, X is the program or independent variable, M is the mediator, t codes the relationship between the program to the outcome in the first equation, t' is the coefficient relating the program to the outcome adjusted for the effects of the mediator, e1 and e2 code unexplained variability, and the intercepts are b01 and b02

In the first regression, the outcome variable is regressed on the independent variable. In the second regression, the outcome is regressed on the independent variable and the mediator. The value of the mediated or indirect effect equals the difference in the program coefficients (t-t') in the two regression models (Judd & Kenny, l981). If the treatment coefficient (t') is zero when the mediator is included in the model, then the program effect is entirely mediated by the mediating variable. 

A second method also involves estimation of two regression equations. First, the coefficient in the model relating the mediator to the outcome is estimated (b) in Model 2 above. Second, the coefficient relating the program to the mediating variable is computed (a).  Model 3: M = b03 + a X + e3 Where M is the mediator outcome variable, b03 is the intercept, X is the program variable and e3 is the error term. The product of these two parameters (ab) is the mediated or indirect effect which is equivalent to (t - t'). The coefficient relating the treatment variable to the outcome adjusted for the mediator (t') is the nonmediated or direct effect. The rationale behind this method is that mediation depends on the extent to which the program changes the mediator (a) and the extent to which the mediator affects the outcome variable (b). 


Different tests of mediation gototop.tif (4218 bytes)
Tests of mediation can be divided into three basic classes: causal steps, difference in coefficient methods, and product of coefficient methods (see MacKinnon, D. P., *Lockwood, C. M., *Hoffman, J. M., et al., 2002).

Causal Steps 

    These methods indicate a series of requirements which must be true for the mediation model to hold. As outlined by Baron and Kenny (1986) and Judd and Kenny (1981), the steps require that: (1) The total effect of the independent variable on the dependent variable must be significant (t in Model 1 above).(2) The path from the independent variable to the mediator must be significant (a in Model 3 above). (3) The path from the mediator to the dependent variable must be significant (b in Model 2 above). (4) The fourth step is required only for complete mediation. If the independent variable no longer has any effect on the dependent variable when the mediator has been controlled, the complete mediation has occurred (nonsignificant t'). 

    A less stringent variation of the causal step method is to require simply that a and b both be significant.

Difference in Coefficient Methods 

    Freedman (1992) and McGuigan and Langholtz (1988) each developed standard errors for the test of t-t'. Olkin and Finn (1995) developed a standard error for the difference between a correlation and the same correlation partialled for a third variable.

Product of Coefficient Methods 

    Several standard errors have been developed to test the product ab.


Statistical power and mediation gototop.tif (4218 bytes)

From the following paper we have included these two PDF files (requires Adobe Acrobat to open) from footnote 1: Predicted and observed power, and footnote 2: Empirical M critical values.

MacKinnon, D. P.,*Lockwood, C. M., & *Williams, J. (2004). Confidence limits for the indirect effect: Distribution of the product and resampling methods. Multivariate Behavioral Research, 39(1), 99-128.


Frequency distributions gototop.tif (4218 bytes)
As part of the simulation study published in MacKinnon, Lockwood, Hoffman, West, & Sheets (2002), cumulative frequency distributions of the mediated effect divided by its standard error were developed. These were used to find critical values for significance testing and are available in pdf form here

Relevant projects and papersgototop.tif (4218 bytes)
COMPUTER PROGRAMS 

Lockwood, C., & MacKinnon, D. P. (1998). Bootstrapping the standard error of the mediated effect. Presented at the 23rd Annual Meeting of SAS Users Group International. 

MacKinnon, D. P. (1992). Statistical simulations in CALIS. Proceedings of the 17th Annual SAS Users Group International Conference 1992, (pp.1199-1203).  Cary, NC: SAS Institute, Inc. 

Wang, E., Gong, A., & MacKinnon, D. P. (1991). A program to compute odds ratios and confidence intervals from LOGIST output. In Sugi 16. Proceedings of the 16th Annual SAS Users Group International Conference 1991, 1228-1231. Reprinted in total in SAS Macro Facility Tips and Techniques, Version 6, First edition. 

MacKinnon, D. P., & Wang, E. (1989). INDIRECT: A program to calculate indirect effects and their standard errors. 

MacKinnon, D. P., & Wang, E. (1989). A SAS/IML matrix program to estimate indirect effects and their standard errors. SUGI 14: Proceedings of the Statistical Analysis System Conference (pp. 1151-1156). Cary, NC: SAS Institute, Inc. 

MANUSCRIPTS IN PREPARATION 

Merrill, R., MacKinnon, D. P., & Mayer, L. (2005). Estimating mediated moderator effects in treatment studies . Manuscript in preparation.

MacKinnon, D. P., & Tein, J. -Y. (2005). Standard error of the three-path mediated effect . Manuscript in preparation .

Morgan-Lopez, A. A., MacKinnon, D. P., & Tein, J.-Y (2005). Balancing computational ease, statistical power and type I error rates in mediated baseline by treatment interaction models. Manuscript in preparation.

Fairchild, A. J., MacKinnon, D. P., & Taborga, M. P. (2006). R 2 effect-size measures for the mediated effect. Manuscript in preparation.

Fritz, M. S., & MacKinnon, D. P. (2006). Plotting the mediated effect: A graphical method of examining mediation. Manuscript in preparation.

MANUSCRIPTS SUBMITTED 

MacKinnon, D.P., Yoon, M., Lockwood, C.M., & Taylor, A. (2005). A comparison of methods to test mediation and other intervening variable effects in logistic regression. Submitted to Psychological Methods.

MacKinnon, D.P., Yoon, M., Ryu, E., & Fairchild, A. (2005). Evaluation of the proportion mediated measure of mediation . Submitted to the British Journal of Mathematical and Statistical Psychology.

Fairchild, A. J., & MacKinnon, D. P. (2005) Tests of significance for a person-centered approach to mediation. Submitted to Multivariate Behavioral Research.

Taylor, A. B., & MacKinnnon, D. P. (2005). Permutation tests for mediation. Submitted to Multivariate Behavioral Research.

Tofighi, D., MacKinnon, D. P., & Yoon, M. (2006). Covariance among regression coefficients in a single mediator model. Submitted to the British Journal of Mathematical and Statistical Psychology.

PUBLICATIONS 

MacKinnon, D. P. (in press). Mediating variable. In D. Matsumoto (Ed.) The Cambridge Dictionary of Psychology. Cambridge University Press.

Fritz, M. S., & MacKinnon, D. P. (2008). A graphical representation of the mediated effect.  Behavior Research Methods, 40, 55-60.

1.               Taylor, A. B., MacKinnon, D. P., & Tein, J. Y. (2008). Tests of the three-path mediated effect.  Organizational Research Methods, 11, 241-269.

Williams, J., & MacKinnon, D. P. (2008). Resampling and distribution of the product methods for testing indirect effects in complex models. Structural Equation Modeling, 15, 23-51.

 MacKinnon, D.P. (2008). Introduction to statistical mediation analysis. Mahwah, NJ: Erlbaum. 

1.               MacKinnon, D. P., *Lockwood, C. M., Brown, C.H., & *Hoffman, J. M. (2007). The intermediate endpoint effect in logistic and probit regression. Clinical Trials, 4, 499 - 513.

1.               MacKinnon, D. P., Fritz, M. S., Williams, J., & Lockwood, C. M. (2007). Distribution of the product confidence limits for the indirect effect: Program PRODCLIN. Behavior Research Methods, 39, 384 - 389.

MacKinnon, D. P., Fairchild, A. J., Fritz, M. S. (2007). Mediation analysis. Annual Review of Psychology, 58, 593 -614.

Fritz, M. S., & MacKinnon, D. P. (2007). Required sample size to detect the mediated effect. Psychological Science, 18(3), 233-239.

Morgan-Lopez, A. A., & MacKinnon, D. P. (2006). Demonstration and evaluation of a method to assess mediated moderation. Behavior Research Methods, 38 (1), 77-87 .

Tein, J.-Y., Sandler, I. N., MacKinnon, D. P., & Wolchik, S. A. (2004).  How did it work? Who did it work for? Mediation in the context of a moderated prevention effect for children of divorce. Journal of Consulting and Clinical Psychology, 72(4), 617-624.

MacKinnon, D. P.,Lockwood, C. M., & Williams, J. (2004). Confidence limits for the indirect effect: Distribution of the product and resampling methods. Multivariate Behavioral Research, 39(1), 99-128.

Cheong, J., MacKinnon, D. P., & Khoo, S.-T. (2003). Investigation of mediational processes using parallel process latent growth curve modeling. Structural Equation Modeling, 10(2), 238-262.

MacKinnon, D. P., & Dwyer, J. H. (2003). Major data analysis issues in drug abuse prevention research. In Z. Sloboda & W. J. Bukoski (Eds.), Handbook for drug abuse prevention: theory, science, and practice (pp. 541-556). Kluwer Academic/ Plenum Publishing: New York.

MacKinnon, D. P., & Lockwood, C. M. (2003). Advances in statistical methods for substance abuse prevention research. Prevention Science, 4(3), 155-171.

Morgan-Lopez, A. A., Castro, F. G., Chassin, L., & MacKinnon, D. P. (2003). A mediated moderation model of cigarette use among Mexican-American youth. Addictive Behaviors, 28 (3), 583-589.

Tein, J.-Y., & MacKinnon, D. P. (2003). Estimating mediated effects with survival data. H. Yanai, A. O. Rikkyo, K. Shigemasu, Y. Kano, J. J. Meulman (Eds.) New Developments on Psychometrics (pp. 405-412). Tokyo, Japan: Springer-Verlag Tokyo Inc.

MacKinnon, D. P., Taborga, M. P., & Morgan-Lopez, A. A. (2002). Mediation designs for tobacco prevention research. Drug and Alcohol Dependence, 68, S69-S83.

MacKinnon, D. P., Lockwood, C. M., Hoffman, J. M., West, S. G., & Sheets, V. (2002). A comparison of methods to test the significance of the mediated effect. Psychological Methods, 7(1), 83-104.

MacKinnon, D. P. (2002). Mediating variable. In N. J. Smelser & P. B. Baltes (Eds.), International encyclopedia of the social and behavioral sciences (pp. 9503-9507). New York: Elsevier.

Cheong, J., MacKinnon, D. P., & Khoo, S. T. (2001). A latent growth modeling approach to mediation analysis. In L. M. Collins & A. Sayer (Eds.), New methods for the analysis of change (pp. 390-392). Washington, DC: American Psychological Association. 

MacKinnon, D. P. (2001). Commentary on Donaldson, Mediator and moderator analysis in program development. In S. Sussman (Ed.), Handbook of program development for health behavior research and practice (pp. 497-500). Thousand Oaks, CA: Sage. 

Krull, J. L., & MacKinnon, D. P. (2001). Multilevel modeling of individual and group level mediated effects. Multivariate Behavioral Research, 36, 249-277. 

MacKinnon, D. P. (2000). Contrasts in multiple mediator models. In J. Rose, L. Chassin, C. C. Presson, & S. J. Sherman (Eds.), Multivariate applications in substance use research: New methods for new questions (pp. 141-160). Mahwah, NJ:  Erlbaum.   

MacKinnon, D. P., Goldberg, L., Clarke, G. N., Elliot, D. L., Cheong, J., Lapin, A., Moe, E. L., & Krull, J. L. (2001). Mediating mechanisms in a program to reduce intentions to use anabolic steroids and improve exercise self-efficacy and dietary behavior. Prevention Science, 2, 15-28. 

MacKinnon, D. P., Krull, J. L., & Lockwood, C. M. (2000). Equivalence of the mediation, confounding, and suppression effect. Prevention Science, 1, 173-181. 

Sandler, I. N., Kim-Bae, L. S., & MacKinnon, D. P. (2000). Coping and negative appraisal as mediators between control beliefs and psychological symptoms in children of divorce. Journal of Clinical Child Psychology, 29, 336-347. 

Krull, J. L. & MacKinnon, D. P. (1999) Multilevel mediation modeling in group-based intervention studies.Evaluation Review, 23, 418-444. 

Lockwood, C., & MacKinnon, D. P. (1998). Bootstrapping the standard error of the mediated effect. Proceedings of the 23rd Annual Meeting of SAS Users Group International. (pp. 997-1002). Cary, NC: SAS Institute, Inc. 

Finch, J., West, S., & MacKinnon, D. P. (1997) Effects on non-normality on mediated effect estimates. Structural Equation Modeling, 4, 87-107. 

Sandler, I. N., Wolchik, S.A., MacKinnon, D.P., Ayers, T.S., & Roosa, M.W. (1997). Developing linkages between theory and intervention in stress and coping processes in Handbook of children's coping: Linking theory and intervention. Plenum Press: New York. 

West, S., & Aiken, L. (1996). Toward understanding individual effects in multiple component prevention programs: Design and analysis strategies. In K. Bryant, M. Windle, & S. G. West (Eds.), New methodological approaches to prevention research (pp. 167-209). Washington, DC: American Psychological Association. 

MacKinnon, D. P., Warsi, G., & Dwyer, J. H. (1995). A simulation study of mediated effect measures. Multivariate Behavioral Research, 30, 41-62. 

MacKinnon, D. P. (1994). Analysis of mediating variables in prevention intervention studies. In A. Cazares and L. A. Beatty (Eds.), Scientific methods for prevention intervention research (pp.127-153). Washington, DC: NIDA Research Monograph 139, DHHS Pub. 94-3631. 

MacKinnon, D. P., & Dwyer, J. H. (1993). Estimating mediated effects in prevention studies. Evaluation Review, 17, 144-158. 

MacKinnon, D. P., Johnson, C. A., Pentz, M. A., Dwyer, J. H., Hansen, W. B., Flay, B. R., & Wang, E. (1991). Mediating mechanisms in a school-based drug prevention program: One year effects of the Midwestern Prevention Project. Health Psychology, 10, 164-172. 

MacKinnon, D. P., Weber, M. D., & Pentz, M. A. (1989). How do school-based drug prevention programs work and for whom? Drugs and Society, 3, 125-143.

MEDIATION CONFERENCE 

Mediation Conference was held Monday, March 23 and Tuesday, March 24, 1998 at Arizona State University. To learn more about this conference, see the Mediation Conference page

PRESENTATIONS 

Fairchild, A. J., MacKinnon, D. P. (2007, May). Joint analysis of moderation and mediation effects in single sample designs. Paper submitted to the 15th annual meeting of the Society for Prevention Research, Washington, DC.

Fairchild, A. J., MacKinnon, D. P. (2007, May). Causal inference in mediation models. Paper submitted to the 15th annual meeting of the Society for Prevention Research, Washington, DC.

MacKinnon, D. P. (2007, May). Dual process models. Paper submitted to the 15th annual meeting of the Society for Prevention Research, Washington, DC.

Wang, W. & MacKinnon, D. P. (2007, May). Moderation and mediation with a binary dependent variable. Paper submitted to the 15th annual meeting of the Society for Prevention Research, Washington, DC.

Taylor, A. B., MacKinnon, D. P., Fritz, M. S. (2007, May). Joint analysis of moderation and mediation effects in single sample designs. Poster submitted to the 15th annual meeting of the Society for Prevention Research, Washington, DC.

MacKinnon, D. P. (2007, March). Moderators and mediators. Invited presentation at National Cancer Institute, Washington, DC.

MacKinnon, D. P. (2007, March). Methods to assess how interventions change behavior. Invited presentation at Health Maintenance Consortium, Washington, DC.

MacKinnon, D. P. (2006, November). Mediation for physical activity interventions. Invited presentation at the National Institutes for Health Grantee Meeting for Mechanisms of Physical Activity, Denver, CO.

MacKinnon, D. P. (2006, November). Mediation. Invited presentation at the University of Southern California, Los Angeles.

MacKinnon, D. P. (2006, November). Designs for investigating mediation variables. Invited presentation at Stanford University, Palo Alto, CA.

Fritz, M. S., & MacKinnon, D. P. (2006, May). Plots of the XM interaction in models of the mediated effect. Poster presented to the 14th annual meeting of the Society for Prevention Research, San Antonio, TX.

Feaster, D. J., McCabe, B., & MacKinnon, D. P. (2006, May). Using repeated observations to estimate person-specific models of mediation. Paper presented to the 14th annual meeting of the Society for Prevention Research, San Antonio, TX.

Taylor, A. B., & MacKinnon, D. P. (2006, May). A permutation test for mediation. Poster presented to the 14th annual meeting of the Society for Prevention Research, San Antonio, TX.

MacKinnon, D.P. (2006, April). New methods for mediation analysis . Invited presentation at the 86th annual Convention of the Western Psychological Association.

MacKinnon, D.P. (2005, October). Issues in mediation modeling in prevention effectiveness trials. Workshop presentation to the New Directions for Mental Health and Drug Abuse Effectiveness and Dissemination Trial Research and Methodology. Baltimore, MD.

Fairchild, A. J., & MacKinnon, D. P. (2005, August). Developing significance tests for a person-centered approach to mediation. Poster presented at the 113 th annual convention of the American Psychological Association, Washington, D.C.

Cheong, J., MacKinnon, D., Williams, J., & Fritz, M. (2005, May). Evaluation of longitudinal mediating mechanisms of a drug prevention program for adolescent athletes. A paper to be presented at the annual convention of the Society for Prevention Research. [Submitted for consideration of presentation] Washington, DC.

Fritz, M.S., & MacKinnon, D.P. (2005, May). Sample size and statistical power in tests of mediation. A paper presented at the annual meeting of the Society for Prevention Research, Washington, D.C.

Lockwood, C. M., MacKinnon, D. P., Brown, C. H., & Hoffman, J. M. (2005, May). Mediation analysis with binary outcomes. A paper presented at the 13 th annual meeting of the Society for Prevention Research, Washington, D.C.

MacKinnon, D. P. (2005, May). Statistical mediation analysis . Invited Presentation Center for Disease Control AIDS/HIV Prevention Quantitative group.

Tein, J.-Y., MacKinnon, D. P., & Kwok, O.-M. (2005, May). Method of probing simple mediation effects for models with combined mediated and moderated effects. A paper presented at the 13 th annual meeting of the Society for Prevention Research, Washington, D.C.

MacKinnon, D. P. (2005, April). Mediation and moderation in alcohol and tobacco research . Workshop presentation for the Second East-West Conference on Tobacco and Alcohol Use m eeting at the, Pasadena, CA.

MacKinnon, D. P. (2005, March). Mediation models for longitudinal data. Invited presentation at the Psychology Department, University of Arizona, Tucson, AZ.

MacKinnon, D. P. (2005, March). Mediation analysis in drug prevention studies. Invited presentation at the Family Studies Department, University of Arizona, Tucson, AZ.

MacKinnon, D. P. (2005, February). Longitudinal mediation models. Invited presentation at Vanderbilt University, Nashville, TN.

MacKinnon, D.P. (2004, November) Mediation models for longitudinal data. Presentation given at the Arizona State University Prevention in Research Center Postdoc seminar, Tempe, AZ.

MacKinnon, D.P., Yoon, M., & Ryu, E. (2004, July). Evaluation of the proportion mediated effect size measure. Abstract presented at the 112 th annual convention of the American Psychological Association, Honolulu, HI.

MacKinnon, D.P., Williams, J., Lockwood, C., & Fritz, M. (2004, July). Empirical power of 20 mediation tests. Abstract presented at the 112 th annual convention of the American Psychological Association, Honolulu, HI.

Williams, J., & MacKinnon, D.P. (2004, July). Power and type I error rates of contrasts of indirect effects. Abstract presented at the 112 th annual convention of the American Psychological Association, Honolulu, HI.

MacKinnon, D.P. (2004, June ). Introduction to statistical mediation analysis . Presentation given at the Research Foundation of SUNY, Buffalo,NY.

MacKinnon, D.P., Jo, B., Brown, C. H., Kellam, S. G., & Sobel, M. (2004, May). Mediation and moderation in prevention research. Abstract presented at the 12 th annual meeting of the Society for Prevention Research, Québec City, Québec.

MacKinnon, D.P., Williams, J., & Yoon, M. (2004, May). Evaluation of mediation tests from surrogate endpoints research. Abstract presented at the 12 th annual meeting of the Society for Prevention Research, Québec City, Québec.

Weaver, S., Cheong, J., & MacKinnon, D. P. (2004, May). Ethnic differences in alcohol use and peer norms: Investigation of a mediation model. Abstract presented at the 12 th annual meeting of the Society for Prevention Research, Québec City, Québec.

MacKinnon, D. P. (2004, May). New designs and methods for trials research. Poster chair session at the 12 th annual meeting of the Society for Prevention Research, Québec City, Québec.

MacKinnon, D.P. (2004, April). Statistical mediation analysis . Workshop presentation at the 84th annual convention of the Western Psychological Association, Phoenix, AZ.

MacKinnon, D.P., & Alwin, D. (2004, March). Led a breakout discussion section at the Merrill Advanced Studies Center conference on Modeling Developmental Processes in Ecological Context, Tempe, AZ.

MacKinnon, D.P. (2004, March). Methodology for MH/drug prevention & early intervention mediation analysis. Presentation to the University of South Florida Prevention Science & Methodology Group. Tampa, FL.

MacKinnon, D. P. (2004, February). National Institute on Drug Abuse Meeting on the Mechanisms of Action of Behavioral Treatments, Washington, DC.

MacKinnon, D.P. (2003, December). Mediators, moderators, & more. University of Southern Florida, Tampa, FL.

MacKinnon, D.P. (2003, November). Finding structural needles in statistical haystacks: Methods for identifying mediators and moderators. Mediators & Moderators Workshop, Western Psychiatric Institute & Clinic at the University of Pittsburgh School of Medicine, Pittsburgh, PA.

MacKinnon, D.P. (2003, November). Moderators and mediators of treatments in randomized controlled trials. Association for Advancement of Behavior Therapy, Boston, MA.

MacKinnon, D.P. (2003, July). Mediation analysis in social psychology , workshop on mediation. Society of Personality and Social Psychology Summer Institute in Social Psychology, Boulder, CO.

MacKinnon, D.P., Yoon, M., Lockwood, C. (June 2003). Comparison of methods to assess mediation in logistic regression. Abstract submitted for presentation at the 11th annual Society for Prevention Research, Washington, D.C.

MacKinnon, D.P. (2003, March). Comparison of single sample and resampling tests for mediation. Society for Prevention Research, Washington, DC.

Morgan-Lopez, A. A. (2002). Bias-corrected bootstrap estimation of mediated baseline by treatment interaction effects in intervention trials. Invited colloquium presented at Quantitative Methodology in Prevention Seminar Series, The Methodology Center, The Pennsylvania State University, University Park, PA, November 8, 2002.

Morgan-Lopez, A. A., MacKinnon, D. P., Goldberg, L., & Moe, E. L. (2002, May-June). The influence of participation in athletics on adolescent intoxication and DUI: A multi-level, multiple-mediator model of sport-specific risk and protection. Abstract submitted for presentation at the Society for Prevention Research annual meeting, Seattle, WA.

Cheong, J., MacKinnon, D. P., & Pentz, M. A. (2002: June). Evaluation of the mediating mechanisms of a drug prevention program to reduce adolescent DUI. Poster presented at the annual meeting of the Research Society on Alcoholism, San Francisco, CA.

Cheong, J., & MacKinnon, D. P. (2002, May-June). A simulation study on latent growth model to test mediation. Paper presented at the 10th annual meeting of the Society for Prevention Research, Seattle, WA.

Williams, J., MacKinnon, D. P., & Cheong, J. (2002, May). The effect of missing data techniques on mediated program estimates. Poster presented at the 10th annual meeting of the Society for Prevention Research, Seattle, WA.

MacKinnon, D. P., Lockwood, C. M., Williams, J., & Anderson, G. (2002, May). A comparison of single sample and resampling tests for the mediated effect. Paper presented at the 10th annual meeting of the Society for Prevention Research, Seattle, WA.

MacKinnon, D. P., Cheong, J., Goldberg, L., Williams, J., & Moe, E. (2002, May). Mediating mechanisms in the second cohort of a program to prevent anabolic steroid use. Paper presented at the 10th annual meeting of the Society for Prevention Research, Seattle, WA.  

Williams, J., & MacKinnon, D.P. (2002). Selection bias and the estimation of the mediated effect. Poster presented at the 10th annual meeting of the Western Psychological Association, Irvine, CA.

Yoon, M., MacKinnon, D. P., & Lockwood, C. M. (2002, April). The difference in coefficient test for mediation in logistic regression. Poser presented at the annual meeting of the Western Psychological Association, Irvine, CA. 

Tein, J. -Y., & MacKinnon, D. P. (2001, July). Estimating mediated effects with survival data. Presented at the International Meeting of the Psychometric Society, Osaka, Japan. 

MacKinnon, D. P., Taborga, M. P., & Morgan-Lopez, A. A. (2001, June). Mediation designs for tobacco prevention research. Presented at the 9th annual meeting of the Society for Prevention Research, Washington, DC. 

Morgan-Lopez, A. A., & MacKinnon, D. P. (2001, June). A mediated moderation model simulation: Mediational processes that vary as a function of second predictors. [Abstract]. Presented at the 9th annual meeting of the Society for Prevention Research, Washington, DC. 

MacKinnon, D. P., & Lockwood, C. M. (2001, May). An approximate randomization test for the mediated effect. Abstract presented at the annual meeting of the Western Psychological Association, Maui, HI. 

Tein, J. -Y., Sandler, I. N., MacKinnon, D. P., & Wolchik, S. A. (2000, June). Testing of mediation when program effects interact with pretest mediator of outcome variables. Paper presented at the 8th annual meeting of the Society for Prevention Research Conference, Montreal, Quebec. 

Morgan-Lopez, A. A., Castro, F. G., Chassin, L. A. & MacKinnon, D. P. (2000, June). A mediated moderation model of tobacco use in Mexican-American youth. Paper presented at the 8th annual meeting of the Society for Prevention Research, Montreal, Quebec. 

Taborga, M. P., MacKinnon, D. P., & Krull, J. L. (1999, June). A simulation study of effect size measures in mediation models. Poster presented at the 7th Annual Meeting of the Society for Prevention Research, New Orleans, LA. 

Cheong, J., MacKinnon, D. P., & Khoo, S. T.  (1998, October).  A latent growth modeling approach to mediation analysis.  Poster session presented at the Conference on New Methods for the Analysis of Change, State College, PA. 

Krull, J. (1998). Mediation in multilevel models. Presented at the Mediation Conference, ASU, Tempe, AZ on March 14, 1998. 

MacKinnon, D. P. (1998). Distribution of products approaches to testing the significance of mediation effects. Presented at the Mediation Conference, ASU, Tempe, AZ on March 23, 1998. 

MacKinnon, D. P., Lockwood, C., & Hoffman, J. (1998). A new method to test for mediation. Presented at the Society for Prevention Research Annual Meeting in Park City, Utah on June 5, 1998. 

Tein, J-Y. (1998). Testing of mediation effect with two mediators in the causal chain. Presented at the Mediation Conference, ASU, Tempe, AZ on March 23, 1998. 

West, S., & Aiken, L. (1998). Toward understanding effects of individual components in multicomponent interventions. Presented at the 1998 Mediation Conference, ASU, Tempe, AZ on March 24, 1998. 

Lockwood, C., & MacKinnon, D. P. (1997). Power to detect mediated effects. Meeting of the Western Psychological Association, Seattle, WA. 

MacKinnon, D. P., & Tein, J-Y. (1997). Mediation models for implementation data. Prevention Research Methodology Group, Seattle, WA. 

MacKinnon, D. P., & Krull, J. (1997). Inconsistent mediation models. Presented at the 1997 meeting of the American Psychological Association, Chicago, IL. 

MacKinnon, D. P. (1997). Mediation effects in prevention studies. Invited paper for the 1997 meeting of the American Psychological Association, Chicago, IL. 

Tien, J-Y., & MacKinnon, D. P. (1997). Multiple path mediation models. Presented at the 1997 meeting of the American Psychological Association, Chicago, IL. 


List of publications and presentations from the MEDIATION grant

M2 indicates that the paper was completed during the 2002-2008 funding period. M1 indicates that the paper was completed during the 1996-2001 funding period. P indicates that the paper was completed as part of the pilot grant, 1990-1991.

Barrera, M., Jr., Prelow, H. M., Dumka, L. E., Gonzales, N. A., Knight, G. P., Michaels, M. L.,  Roosa, M. W., & Tein, J.-Y. (2002). Pathways from family economic conditions to adolescents' distress: Supportive parenting, stressors outside the family, and deviant peers. Journal of Community Psychology, 30, 135-152. [M1]

Barrera, M., Jr., Toobert, R. E., Angell, D., Glasgow, K., & MacKinnon, D. P. (2006). Social support and social-ecological resources as mediators of lifestyle intervention effects for type 2 diabetes. Journal of Health Psychology, 11, 483-495. [M2] 

Barrera, M., Jr., Strycker, L. A., MacKinnon, D. P., Toobert, D. J. (2008). Social-ecological resources as mediators of two-year diet and physical activity outcomes in type 2 diabetes patients.  Health Psychology, 27, S118-S125. [M2]  http://psycnet.apa.org/?fa=main.doiLanding&doi=10.1037/0278-6133.27.2(Suppl.).S118

Brown, C. H., Wang, W., Kellam, S. G., Muthen, B. O., Petras, H., Toyinbo, P., Poduska, J., Ialongo, N., Wyman, P. A., Chamberlain, P., Sloboda, Z., MacKinnon, D. P., & Windham, A. (2008). Methods for testing theory and evaluating impact in randomized field trials: Intent-to-treat analyses for integrating the perspectives of person, place, and time. Drug and Alcohol Dependence, 95s, s74-s104. [M2] http://linkinghub.elsevier.com/retrieve/pii/S0376871607004425

Cerin, E., & MacKinnon, D. P. (in press).  A commentary on current practice in mediating variable analyses in behavioural nutrition and physical activity.  Public Health Nutrition. [M2]

Cheong, J., & MacKinnon, D. P. (2002, May). A simulation study of a latent growth model to test mediation. Poster presented at the annual meeting of the Society for Prevention Research, Seattle, WA. [M1]

Cheong, J. & MacKinnon, D. P. (2008, May). Accuracy of estimates and statistical power for testing mediation in latent growth modeling. Paper presented at the annual convention of the Association for Psychological Science, Chicago, IL. [M2]

Cheong, J., MacKinnon, D. P., & Khoo, S.-T. (2001). A latent growth modeling approach to mediation analysis. In L. M. Collins & A. Sayer (Eds.), New methods for the analysis of change (pp. 390-392). Washington, DC: American Psychological Association. [M1]

Cheong, J., MacKinnon, D. P., & Khoo, S.-T. (2003). Investigation of mediational processes using parallel process latent growth curve modeling. Structural Equation Modeling, 10, 238-262. [M1] http://www.informaworld.com/smpp/content~content=a785833123~db=all

Cheong, J., MacKinnon, D. P., & Pentz, M. A. (2002, June). Evaluation of the mediating mechanisms of a drug prevention program to reduce adolescent DUI. Poster presented at the annual meeting of the Research Society on Alcoholism, San Francisco, CA. [M1]

Cheong, J., MacKinnon, D. P., Williams, J., & Fritz, M. S. (2005, May).  Evaluation of longitudinal mediating mechanisms of a drug prevention program for adolescent athletes. Paper presented at the annual meeting of the Society for Prevention Research, Washington, DC. [M2]

Cheong, J., MacKinnon, D. P., Williams, J., Goldberg, L., & Moe, E. (2002, May). Long-term program effects of a program to prevent anabolic steroid use. Poster presented at the annual meeting of the Society for Prevention Research, Seattle, WA. [M1]

Deng, S., Lopez, V., Roosa, M. W., Ryu, E., Burrell, G., Tein, J.-Y., & Crowder, S. (2006). Family processes mediating the relationship of neighborhood disadvantage to early adolescent internalizing problems. Journal of Early Adolescence, 26, 206-231. [M2] http://jea.sagepub.com/cgi/content/abstract/26/2/206

Dinh, K. T., Castro, F. G., Tein, J.-Y., & Kim, S Y. (in press) Cultural predictors of physical and mental health status among Mexican American women: A mediation model. American Journal of Community Psychology. [M2]

Dinh, K. T., Roosa, M. W., Tein, J.-Y., & Lopez, V.A. (2002). The relationship between acculturation and problem behavior proneness in a Hispanic youth sample: A longitudinal mediation model. Journal of Abnormal Child Psychology, 30, 295-309. [M1]

Dwyer, J. H., & MacKinnon, D. P. (1991). Estimating mediated effects in risk regression models. American Journal of Epidemiology, 134, 716. [P].

Fairchild, A.J., MacKinnon, D.P., Taborga, M., & Taylor, A.B. (in press). R2 Effect-size Measures for Mediation Analysis. Behavioral Research Methods. [M2]

Fairchild, A.J., & MacKinnon, D.P. (in press). A General Model for Testing Mediation and Moderation Effects. Prevention Science. [M2]

Fairchild, A. J., & MacKinnon, D. P. (in preparation). Tests of significance for a person-centered approach to mediation. Manuscript in preparation. [M2]

Fairchild, A. J., & MacKinnon, D. P. (2005, August).  Developing significance tests for a person-centered approach to mediation.  Poster presented at the annual meeting of the American Psychological Association, Washington, D.C. [M2]

Fairchild, A. J., & MacKinnon, D. P. (2008, May).  Applied examples of models with mediation and moderation. Paper presented at the annual convention of the Association for Psychological Science, Chicago, IL. [M2]

Fairchild, A. J., MacKinnon, D. P., Elliot, D. L., & Moe, E. (2006, May). Mediation analysis of the PHLAME intervention program. Poster presented at the annual meeting of the Society for Prevention Research, San Antonio, TX. [M2].

Feaster, D. J., McCabe, B., & MacKinnon, D. P. (2006, May). Using repeated observations to estimate person-specific models of mediation. Paper presented at the annual meeting of the Society for Prevention Research, San Antonio, TX. [M2]

Finch, J. F., West, S. G., & MacKinnon, D. P. (1997). Effects of sample size and nonnormality on the estimation of mediated effects in latent variable models. Structural Equation Modeling, 4, 87-107. [M1]  http://eric.ed.gov/ERICWebPortal/custom/portlets/recordDetails/detailmini.jsp?_nfpb=true&_&ERICExtSearch_SearchValue_0=EJ543813&ERICExtSearch_SearchType_0=no&accno=EJ543813

Fritz, M. S. (2005, March). Required sample size to detect the mediated effect. (Masters thesis, Arizona State University). [M2]

Fritz, M.S., & MacKinnon, D.P. (2005, May). Sample size and statistical power in tests of mediation. Paper presented at the annual meeting of the Society for Prevention Research, Washington, D.C. [M2]

Fritz, M. S., & MacKinnon, D. P. (2008). A graphical representation of the mediated effect.  Behavior Research Methods, 40, 55-60. [M2] http://www.ingentaconnect.com/content/psocpubs/berm/2008/00000040/00000001/art00007

Fritz, M. S., & MacKinnon, D. P. (2006, May). Plots of the XM interaction in models of the mediated effect. Poster presented at the annual meeting of the Society for Prevention Research, San Antonio, TX. [M2]

Fritz, M. S., & MacKinnon, D. P. (2007). Required sample size to detect the mediated effect.  Psychological Science, 18, 233-239. [M2] http://www3.interscience.wiley.com/journal/118505512/abstract

Haine, R. A., Sandler, I. N., Wolchik, S. A.,Tein, J.-Y., & Dawson-McClure, S. R. (2003). Changing the legacy of divorce: Evidence from prevention programs and future directions. Family Relations, 52, 397-405. [M1]

Kim, L. S., Sandler, I. N., & Tein, J.-Y. (1997). Locus of control as a stress moderator and mediator in children of divorce. Journal of Abnormal Child Psychology, 25, 145-155. [M1]

Krull, J. L., & MacKinnon, D. P. (1999). Multilevel mediation modeling in group-based intervention studies. Evaluation Review, 23, 418-444. [M1]  http://erx.sagepub.com/cgi/content/abstract/23/4/418

Krull, J. L., & MacKinnon, D. P. (2001). Multilevel modeling of individual and group level mediated effects. Multivariate Behavioral Research, 36, 249-277. [M1]  http://www.informaworld.com/smpp/content~content=a785042741~db=all

Kwok, O., Haine, R. A., Sandler, I. N., Ayers, T. S., Wolchik, S. A., & Tein, J.-Y. (2005) Positive Parenting as a Mediator of the Relations between Parental Psychological Distress and Mental Health Problems of Parentally Bereaved Children. Journal of Clinical Child and Adolescent Psychology. 34, 260-271. [M2]
http://www.informaworld.com/smpp/content~content=a783754664~db=all

Lewis Bate, S., Stigler, M. H., Thompson, M. S., Arora, M., Perry, C. L., Reddy, K. S., MacKinnon, D. P. (in press). Psychosocial mediators of a school-based tobacco prevention program in India: Results from the first year of Project MYTRI. Prevention Science. [M2]

Lockwood, C. M. (1999). Effects of nonnormality on tests of mediation. Unpublished master’s thesis, Arizona State University. [M1]

Lockwood, C. M., & MacKinnon, D. P. (1997, April). Power to detect mediated effects. Paper presented at the meeting of the Western Psychological Association, Seattle, WA. [M1]

Lockwood, C. M., & MacKinnon, D. P. (1998). Bootstrapping the standard error of the mediated effect. Proceedings of the 23rd annual meeting of SAS users group international (pp. 997-1002). Cary, NC: SAS Institute, Inc. [M1] http://www2.sas.com/proceedings/sugi23/Posters/p180.pdf

Lockwood, C.M., MacKinnon, D.P., Brown, C.H., & Hoffman, J.M. (2005, May). Mediation analysis with binary outcomes. Paper presented at the annual meeting of the Society for Prevention Research, Washington, DC. [M2]

MacKinnon, D. P. (1992). Statistical simulations using the CALIS procedure. Proceedings of the 17th annual SAS users group international conference (pp. 1199-1203). Cary, NC: SAS Institute, Inc. [P]

MacKinnon, D. P. (1994). Analysis of mediating variables in prevention and intervention research. In A. Cazares & L. A. Beatty (Eds.), Scientific methods for prevention intervention research (DHHS Pub. 94-3631, pp.127-153). Washington, DC: NIDA Research Monograph 139. [P]

MacKinnon, D. P. (1997, August). Mediation analysis in prevention research. Invited paper presented at the annual meeting of the American Psychological Association, Chicago, IL. [M1]

MacKinnon, D. P. (1998, March) Distribution of products approaches to testing the significance of mediation effects. Paper presented at Arizona State University’s Conference on Mediation Models in Prevention Research, Tempe, AZ. [M1]

MacKinnon, D. P. (2000). Contrasts in multiple mediator models. In J. Rose, L. Chassin, C. C. Presson, & S. J. Sherman (Eds.), Multivariate applications in substance use research: New methods for new questions (pp.141-160). Mahwah, NJ: Lawrence Erlbaum. [M1]

MacKinnon, D. P. (2001). Commentary on Donaldson: Mediator and moderator analysis in program development. In S. Sussman (Ed.), Handbook of program development for health behavior research and practice (pp. 497-500). Thousand Oaks, CA: Sage. [M1]

MacKinnon, D. P., (2001, August). Evaluating community strategies and programs. Presentation at the 2nd National Conference on Drug Abuse Prevention, Washington, DC. [M1]

MacKinnon, D. P. (2001). Mediating variable. In N. J. Smelser & P. B. Baltes (Eds.), International encyclopedia of the social and behavioral sciences (pp. 9503-9507). New York: Elsevier. [M1]

MacKinnon, D. P. (2003, March). Comparison of single sample and resampling tests for mediation. Society for Prevention Research, Washington, DC. [M2]

MacKinnon, D. P. (2003, July). Mediation analysis in social psychology, workshop on mediation. Society of Personality and Social Psychology Summer Institute in Social Psychology, Boulder, CO. [M2]

MacKinnon, D. P. (2003, November). Participant in Finding structural needles in statistical haystacks: Methods for identifying mediators and moderators. Mediators & Moderators Workshop, Western Psychiatric Institute & Clinic at the University of Pittsburgh School of Medicine, Pittsburgh, PA. [M2]

MacKinnon, D. P. (2003, November). Moderators and mediators of treatments in randomized controlled trials. Association for Advancement of Behavior Therapy, Boston, MA. [M2]

MacKinnon, D. P. (2003, December). Mediators, moderators, & more. Presentation to the Prevention Science Methodology Group. [M2]

MacKinnon, D. P. (2004, February). Presentation at the National Institute on Drug Abuse Meeting on the Mechanisms of Action of Behavioral Treatments, Washington, D.C. [M2]

MacKinnon, D.P. (2004, March). Methodology for MH/drug prevention & early intervention mediation analysis.  Presentation to the University of South Florida Prevention Science & Methodology Group, Tampa, FL. [M2]

MacKinnon, D. P. (2004, April). Surrogate endpoints and mediators. Presentation to the Prevention Science Methodology Group. [M2]

MacKinnon, D. P. (2004, April). Statistical mediation analysis. Invited workshop presented at the annual meeting of the Western Psychological Association, Phoenix, AZ. [M2]

MacKinnon, D. P. (2004, May). Mediation and moderation. Guest Lecture on Introductory Biostatistics, University of South Florida, Tampa. [M2]

MacKinnon, D. P. (2004, May). New designs and methods for trials research. Poster session chair at the 12th annual meeting of the Society for Prevention Research, Quebec City, Quebec. [M2]

MacKinnon, D. P. (2004, June). Introduction to statistical mediation analysis. Invited workshop presentation at the University of Buffalo, Buffalo, NY. [M2]

MacKinnon, D.P. (2004, November). Mediation analysis with longitudinal data.  Presentation to the Arizona State University postdoctoral seminar in prevention science, Tempe, AZ. [M2]

MacKinnon, D.P. (2005, February). Mediation models for longitudinal data. Invited presentation to the Vanderbilt Psychology Department, Nashville, TN. [M2]

MacKinnon, D.P. (2005, March). Mediation models for longitudinal data. Presentation to the University of Arizona Psychology Department, Tucson, AZ. [M2]

MacKinnon, D.P. (2005, March). Mediation analysis in drug prevention studies. Presentation to the University of Arizona Family Studies, Tucson, AZ. [M2]

MacKinnon, D.P. (2005, March). Statistical mediation analysis. Workshop for the University of Arizona Family Studies Department, Tucson, AZ. [M2]

Mackinnon, D. P. (2005, April) Mediation and moderation in alcohol and tobacco research. Presentation at the East-West conference on Tobacco and Alcohol use, Pasadena, CA. [M2]

MacKinnon, D.P. (2005, May). Statistical mediation analysis. Center for Disease Control AIDS/HIV Prevention Quantitative Group, Conference call presentation. [M2]

MacKinnon, D.P. (2005, October). Issues in mediation modeling in prevention effectiveness trials. Workshop presentation to the New Directions for Mental Health and Drug Abuse Effectiveness and Dissemination Trial Research and Methodology. Baltimore, MD. [M2]

MacKinnon, D.P. (2006, April).  New methods for mediation analysis.  Invited presentation at the annual meeting of the Western Psychological Association, Palm Springs, CA. [M2]

MacKinnon, D. P. (2006, May). Multilevel mediation symposium.  Symposium presented at the annual meeting of the Society for Prevention Research, San Antonio, TX. [M2]

MacKinnon, D. P. (2006, November). Some new results on mediation analysis. Presentation to the University of Southern California Institute for Prevention Research, Alhambra, CA. [M2]

MacKinnon, D. P. (2006, November). Mediation for physical activity interventions. Invited presentation at the National Institutes for Health Grantee Meeting for Mechanisms of Physical Activity, Denver, CO. [M2]

MacKinnon, D. P. (2006, November). Designs for investigating mediation variables. Invited presentation at Stanford University, Palo Alto, CA. [M2]

MacKinnon, D. P. (2007, March). Moderators and mediators. Invited presentation at National Cancer Institute, Washington, DC. [M2]

MacKinnon, D. P. (2007, March). Methods to assess how interventions change behavior. Invited workshop at Health MaintenanAt 95% confidence, the interval isce Consortium, Washington, DC. [M2]

MacKinnon, D. P. (2007, June). Statistical Mediation in AIDS/HIV Prevention and Treatment. Invited workshop at the Center for AIDS prevention research, University of California, San Francisco. [M2]

MacKinnon, D. P. (2007, July). Introduction to Statistical Mediation. Invited workshop at of California State University, Long Beach. [M2]

MacKinnon, D. P. (2007, November, 2). Importance of Mediation in Behavioral Science Research. Invited presentation at the Harvard School of Public Health, Harvard University. [M2]

MacKinnon, D. P. (2007, November, 15). Advances in mediation analysis: New Tests and Longitudinal Models. Invited presentation in the Psychology Department at the University of California, Davis. [M2]

MacKinnon, D. P. (2008, March).  Longitudinal mediation models for long term effects. Prevention Science Methodology Meeting. Baltimore, MA. [M2]

MacKinnon, D. P. (2008, June).  Introduction to Statistical Mediation Analysis.   Invited 3-day workshop, University Park, PA. [M2]

MacKinnon, D. P. (2008, June). Mediation analysis for alcohol treatment.  Invited presentation at the NIAA/RSA symposium on mediating mechanisms in alcohol treatment.  Washington, DC. [M2]

MacKinnon, D. P. (2008, September). Mediation analysis.  Invited presentation University of Alabama, Birmingham department of biostatistics, Birmingham, AL. [M2]

MacKinnon, D. P. (2008, October). Mediation analysis.  Invited workshop at the NIMH AIDS/HIV family interventions conference, Providence, RI. [M2]

MacKinnon, D. P. (2008). Introduction to statistical mediation analysis. Mahwah, NJ: Erlbaum. [M2]

http://www.psypress.com/9780805839746

MacKinnon, D.P. & Cheong, J. (2005, January) Mediation models for longitudinal data. Presentation to the University of South Florida Prevention Science & Methodology Group, Tampa, FL. [M2]

MacKinnon, D. P., Cheong, J., Goldberg, L., Williams, J., & Moe, E. (2002, May). Mediating mechanisms in the second cohort of a program to prevent anabolic steroid use. Paper presented at the annual meeting of the Society for Prevention Research, Seattle, WA. [M1]

MacKinnon, D. P., & Dwyer, J. H. (1993). Estimating mediated effects in prevention studies. Evaluation Review, 17, 144-158. [P]  http://erx.sagepub.com/cgi/content/abstract/17/2/144

MacKinnon, D. P., & Dwyer, J. H. (2003). Major data analysis issues in drug abuse prevention research. In Z. Sloboda & W. J. Bukoski (Eds.), Handbook for drug abuse prevention: theory, science, and practice (pp. 541-556). Kluwer Academic/ Plenum Publishing: New York. [M1] http://www.springerlink.com/content/v173787u12241609/

MacKinnon, D. P, Dwyer, J. H., & Warsi, G. (1992, July). Estimating mediation effects in logistic and probit regression. Paper presented at the annual meeting of the Psychometric Society. [P]

MacKinnon, D.P. & Fairchild, A.J. (in press).  Mediation analysis.  Current Directions in Psychology. [M2]

MacKinnon, D.P. &  Fairchild, A.J. (2008).  A simulation study of moderation and mediation.  Poster presented at the Annual Meeting of the Society for Prevention Research, San Francisco, CA. [M2]

MacKinnon, D.P. , Fairchild, A.J., & Ohlrich, V. (2008).  Mediation in tobacco treatment.  Invited presentation at the Society for Nicotine and Tobacco Research, Portland, OR. [M2]

MacKinnon, D. P., Fairchild, A. J., Fritz, M. S. (2007).  Mediation analysis. Annual Review of Psychology, 58, 593 -614.  [M2] http://arjournals.annualreviews.org/doi/abs/10.1146/annurev.psych.58.110405.085542

MacKinnon, D. P., Fritz, M. S., Williams, J., & Lockwood, C. M. (2007). Distribution of the product confidence limits for the indirect effect: Program PRODCLIN. Behavior Research Methods, 39, 384 - 389.  [M2] http://brm.psychonomic-journals.org/content/39/3/384.abstract

MacKinnon, D. P., Goldberg, L., Clarke, G. N., Elliot, D. L., Cheong, J., Lapin, A., Moe, E. L., & Krull, J. L. (2001). Mediating mechanisms in a program to reduce intentions to use anabolic steroids and improve exercise self-efficacy and dietary behavior. Prevention Science, 2, 15-28. [M1] http://www.ncbi.nlm.nih.gov/pubmed/11519372

MacKinnon, D. P., Jo, B., Brown, C. H., Kellam, S. G., & Sobel, M. (2004, May). Mediation and moderation in prevention research. Symposium presented at the annual meeting of the Society for Prevention Research, Quebec City, Quebec. [M2]

MacKinnon, D. P., Johnson, C. A., Pentz, M. A., Dwyer, J. H., Hansen, W. B., Flay, B. R., & Wang, E. Y. I. (1991). Mediating mechanisms in a school-based drug prevention program: First year effects of the Midwestern Prevention Project. Health Psychology, 10, 164-172. [P]

MacKinnon, D. P., & Krull, J. L. (1997, July). Inconsistent mediation models. Paper presented at the annual meeting of the American Psychological Association, Chicago, IL. [M1]

MacKinnon, D. P., Krull, J. L., & Lockwood, C. M. (2000). Equivalence of the mediation, confounding, and suppression effect. Prevention Science, 1, 173-181. [M1]  http://www.springerlink.com/content/v1w6435774m80742/

MacKinnon, D.P., & Luecken, L.J. (2008).  How and for whom?  Mediation and moderation in Health Psychology.  Health Psychology, 27, S99-S100.  [M2] http://www.ncbi.nlm.nih.gov/pubmed/18377161

MacKinnon, D. P., & Lockwood, C. M. (2003). Advances in statistical methods for substance abuse prevention research. Prevention Science, 4, 155-171.[M1] http://www.ingentaconnect.com/search/article?author=MacKinnon&journal=Prevention+Science&journal_type=words&year_from=2003&year_to=2008&database=1&pageSize=20&index=1

MacKinnon, D. P., & Lockwood, C. M. (2001, May). An approximate randomization test for the mediated effect. Paper presented at the annual meeting of the Western Psychological Association, Maui, HI. [M1]

MacKinnon, D. P., Lockwood, C. M., Brown, Wang, W., C.H., & Hoffman, J. M. (2007). The intermediate endpoint effect in logistic and probit regression. Clinical Trials, 4, 499 - 513. [M2] http://ctj.sagepub.com/cgi/content/abstract/4/5/499

MacKinnon, D. P., Lockwood, C. M., & Hoffman, J. M. (1998, June). A new method to test for mediation. Paper presented at the annual meeting of the Society for Prevention Research, Park City, UT. [M1]

MacKinnon, D. P., Lockwood, C. M., Hoffman, J. M., West, S. G., & Sheets, V. (2002). A comparison of methods to test the significance of the mediated effect. Psychological Methods, 7, 83-104. [M1] http://psycnet.apa.org/index.cfm?fa=main.doiLanding&uid=2002-00925-005

MacKinnon, D. P., Lockwood, C. M., & Williams, J. (2004). Confidence limits for the indirect effect: Distribution of the product and resampling methods. Multivariate Behavioral Research, 39, 99-128. [M1]  http://www.informaworld.com/smpp/content~content=a785042545~db=all

MacKinnon, D. P., Lockwood, C. M., Williams, J., & Anderson, G. (2002, May). A comparison of single-sample and resampling tests for the mediated effect. Paper presented at the annual meeting of the Society for Prevention Research, Seattle, WA. [M1]

MacKinnon, D. P., Taborga, M. P., & Morgan-Lopez, A. A. (2002). Mediation designs for tobacco prevention research. Drug and Alcohol Dependence, 68, S69-S83. [M1] http://www.ncbi.nlm.nih.gov/pubmed/12324176

MacKinnon, D. P., & Tein, J.-Y. (1997, September). Mediation models for implementation data. Paper presented at the annual meeting of the Prevention Science Methodology Group, Seattle, WA. [M1]

MacKinnon, D. P., & Tein, J.-Y. (2001). Standard error of the three-path mediated effect. Unpublished manuscript. [M1]

MacKinnon, D. P., Warsi, G., & Dwyer, J. H. (1995). A simulation study of mediated effect measures.   Multivariate Behavioral Research, 30, 41-62. [P]  http://www.informaworld.com/smpp/content~content=a785043260~db=all

MacKinnon, D. P., Williams, J., & Lockwood, C. (2004, July). Empirical power of 20 mediation tests. Paper presented at the annual meeting of the American Psychological Association, Honolulu, HI. [M2]

MacKinnon, D. P., Williams, J., & Yoon, M. (2004, May). Evaluation of mediation tests from surrogate endpoints research. Paper presented at the annual meeting of the Society for Prevention Research, Quebec City, Quebec. [M2]

MacKinnon, D. P., Yoon, M., & Lockwood, C. (2003, June). Comparison of methods to assess mediation in logistic regression. Paper presented at the annual meeting of the Society for Prevention Research, Washington, D.C. [M2]

MacKinnon, D. P., Yoon, M., Lockwood, C. M., & Taylor, A. B. (in preparation). A comparison of methods to test mediation and other intervening variable effects in logistic regression. Manuscript under revision for Psychological Methods. [M2] 

MacKinnon, D. P., Yoon, M., & Ryu, E. (2004, July). Evaluation of the proportion mediated effect size measure. Paper presented at the annual meeting of the American Psychological Association, Honolulu, HI. [M2].

MacKinnon, D. P., Yoon, M., Ryu, E., & Fairchild, A. J. (2006). Evaluation of the proportion mediated measure of mediation. Manuscript under revision for The British Journal of Mathematical and Statistical Psychology. [M2]

Mauricio, A. M., Tein, J.-Y., & Lopez, F. G. (2007). Borderline and Antisocial Personality Scores as mediators Between Attachment and Intimate Partner Violence. Violence and Victims. 22, 139-157.[M2]  http://www.ingentaconnect.com/content/springer/vav/2007/00000022/00000002/art00001

Merrill, R., MacKinnon, D. P., & Mayer, L. (2006). Estimating mediated moderator effects in treatment studies . Manuscript in preparation. [M2]

Moe, E. L., Goldberg, L., MacKinnon, D. P., Lockwood, C. M., Kuehl, K. S., Elliot, D. L., Cheong, J., Yoon, M.  (2006). Nutritional supplements: Are they precursors to anabolic steroid and other substance use? Manuscript in preparation. [M2]

Morgan-Lopez, A. A. (2002).  Bias-corrected bootstrap estimation of mediated baseline by treatment interaction effects in intervention trials.  Invited colloquium presented at Quantitative Methodology in Prevention Seminar Series, The Methodology Center, The Pennsylvania State University, University Park, PA, November 8, 2002. [M1]

Morgan-Lopez, A. A. (2003) A simulation study of the mediated baseline by treatment interaction effect in preventive intervention trials (Doctoral dissertation, Arizona State University, 2003). Dissertation Abstracts International, 64, 4673.  [M2]

Morgan-Lopez, A. A., Castro, F. G., Chassin, L., & MacKinnon, D. P. (2003). A mediated moderation model of cigarette use among Mexican American youth. Addictive Behaviors, 28, 583-589. [M1]

Morgan-Lopez, A. A., & MacKinnon, D. P. (2001, May-June) A mediated moderation model simulation: Mediational processes that vary as a function of second predictors. Paper presented at the 9th annual meeting of the Society for Prevention Research, Washington, DC. [M1]

Morgan-Lopez, A. A., & MacKinnon, D. P. (2006). Demonstration and evaluation of a method for assessing mediated moderation. Behavior Research Methods, 38, 77-87. [M2] http://brm.psychonomic-journals.org/content/38/1/77.abstract

Morgan-Lopez, A. A., MacKinnon, D. P., Goldberg, L., & Moe, E. (2002, May). The influence of participation in athletics on adolescent intoxication and DUI: A multi-level, multiple mediator model of sport-specific risk and protection. Paper presented at the annual meeting of the Society for Prevention Research, Seattle, WA. [M1]

Ohlrich, V. C., & MacKinnon, D. P. (2008, May). Bias in cross-sectional mediation. Poster session presented at the annual meeting of the Society for Prevention Research, San Francisco, CA. [M2]

Patock-Peckham, J. A., Cheong, J., MacKinnon, D. P., & Pentz, M. A. (2004, April). The Midwestern prevention project: The moderating effects of sensation seeking. Poster presented at the annual meeting of the Western Psychological Association, Phoenix, AZ. [M2]

Qing, Z., Wang, Y., Deng, X., Eisenberg, N., Wolchik, S., & Tein, J.-Y. (2008). Relations of parenting and temperament to Chinese children's experience of negative life events, coping efficacy, and externalizing problems. Child Development, 79, 493-513. [M2] http://www3.interscience.wiley.com/journal/120083801/abstract

Ranby, K. W., Aiken, L. S., MacKinnon, D. P., Elliot, D. L., Moe, E. L., Goldberg, L., & McGinnis, W. (2008). A mediation analysis of the ATHENA intervention for female athletes: Prevention of athletic-enhancing substance use and unhealthy weight loss behaviors. [M2]

Roosa, M. W., Deng, S., Ryr, E., Burrell, G., Tein, J.-Y., Jones, S., Lopez, V., & Crowder, S. (2005).  Family and child characteristics linking Neighborhood context and Child Externalizing Behavior. Journal of Marriage and Family, 67, 514-529. [M2]  http://www3.interscience.wiley.com/journal/118686835/abstract

Ryu, E., West, S. G., & Sousa, K. H. (in press). Mediation and moderation: Testing relationships between symptom status, functional health, and quality of life in HIV patients. Multivariate Behavioral Research.  [M2]

Sandler, I. N., Ayers, T. S., Wolchik, S. A., Tein, J.-Y., Millsap, R., & Chow, W. (in press).  Mediation of the development of depression in bereaved girls.  In Strauman, Costanzo, & Abramson, Depression in Adolescent Girls. [M2]

Sandler, I. N., Kim-Bae, L. S., & MacKinnon, D. P. (2000). Coping and negative appraisal as mediators between control beliefs and psychological symptoms in children of divorce. Journal of Clinical Child and Adolescent Psychology, 29, 336-347. [M1]

Sandler, I. N., Tein, J.-Y., Mehta, P., Wolchik, S. A., & Ayers, T. S. (2000). Coping efficacy and psychological problems of children of divorce. Child Development, 71, 1099-1118. [M1]

Sandler, I. N., Wolchik, S. A., MacKinnon, D. P., Ayers, T. S., & Roosa, M. W. (1997). Developing linkages between theory and intervention in stress and coping processes. In S. A. Wolchik & I. N. Sandler (Eds.), Handbook of children’s coping: Linking theory and intervention. New York: Plenum Press. [M1]

Sandler, I.N., Tein, J.-Y., & West, S.G. (1994). Coping, stress, and the psychological symptoms of children of divorce: A cross-sectional and longitudinal study. Child Development, 65, 1744-1763. [P]

Soper, A.C., Wolchik, S. A., Sandler, I. N., Tein, J.-Y., & Lustig, J. L. (2007). Predictors of threat to self-appraisals for children from divorced homes. Journal of Divorce and Remarriage, 48, 1-27. [M2]  http://www.haworthpress.com/store/E-Text/View_EText.asp?a=3&fn=J087v48n01_01&i=1%2F2&s=J087&v=48

Taborga, M. P. (2000, April). Effect size in mediation models. Unpublished master’s thesis, Arizona State University. [M1]

Taborga, M. P., MacKinnon, D. P., & Morgan-Lopez, A. A. (2001, May-June). Program designs for tobacco prevention. Paper presented at the 9th Annual Meeting of the Society for Prevention Research, Washington, DC. [M1]

Taborga, M. P., MacKinnon, D. P., & Krull, J. L. (1999, June). A simulation study of effect size measures in mediation models. Poster presented at the 7th Annual Meeting of the Society for Prevention Research, New Orleans, LA. [M1]

Taylor, A. B., & MacKinnon, D. P. (2008). Permutation tests for mediation. Manuscript in preparation. [M2]

Taylor, A. B., & MacKinnon, D. P. (2006, May).  A permutation test for mediation. Poster presented at the annual meeting of the Society for Prevention Research, San Antonio, TX. [M2]

Taylor, A. B., MacKinnon, D., & Tein, J.-Y. (2008). Test of the three-path mediated effect.  Organizational Research Methods. 11, 241-269. [M2]  http://orm.sagepub.com/cgi/content/abstract/11/2/241

Tein, J.-Y. (1998, March). Testing the mediation effect with two mediators in the causal chain. Presented at Arizona State University’s Conference on Mediation Models in Prevention Research, Tempe, AZ. [M1]

Tein, J.-Y. (2003, November). Methodology in intervention research: Moderation and mediation. Invited presentation. College of Public Health, Shangdong University, Jinan, Shangdong, China. [M2]

Tein, J.-Y., Ayers, T., Sandler, I. N., Wolchik, S. A., & Newton, C. (2001, May-June). Mediated program effects for the family bereavement program. Paper presented at the 9th Annual Meeting of the Society for Prevention Research, Washington, DC. [M1]

Tein, J.-Y., & MacKinnon, D. P. (1997). Multiple path mediation models. Paper presented at the annual meeting of the American Psychological Association, Chicago, IL. [M1]

Tein, J.-Y., & MacKinnon, D. P. (2001, July). Estimating mediated effects with survival data. Paper presented at the International Meeting of the Psychometric Society, Osaka, Japan. [M1]

Tein, J.-Y., & MacKinnon, D. P. (2003). Estimating mediated effects with survival data. H. Yanai, A. O. Rikkyo, K. Shigemasu, Y. Kano, J. J. Meulman (Eds.) New Developments on Psychometrics (pp. 405-412). Tokyo, Japan: Springer-Verlag Tokyo Inc. [M1]

Tein, J.-Y., MacKinnon, D. P., & Kwok, O.-M. (2005, May). Method of probing simple mediation effects for models with combined mediated and moderated effects. Paper presented at the annual meeting of the Society for Prevention Research, Washington, D.C. [M2]

Tein, J.-Y. , Sandler, I. N., Ayers, T. & Wolchik, S. A. (2006).  Mediation of the Effects of the Family Bereavement Program on Mental Health Problems of Bereaved Children and Adolescents. Prevention Science, 7, 179-195. [M2]  http://www.springerlink.com/content/el51n880m166v11x/

Tein, J.-Y., Sandler, I. N., Ayers, T., and Wolchik, S. A. (2008, May). Mediation of Six-year Outcomes of the Family Bereavement Program.  The Sixteen Annual meeting of Society of Prevention Research, San Francisco, D.C. [M2]

Tein, J.-Y., Sandler, I. N., MacKinnon, D. P., & Wolchik, S. A. (2000, June). Testing of mediation when program effects interact with pretest mediator of outcome variables. Paper presented at the 8th Annual Meeting of the Society for Prevention Research Conference, Montreal, Quebec. [M1]

Tein, J.-Y., Sandler, I. N., MacKinnon, D. P., & Wolchik, S. A. (2004). How did it work? Who did it work for? Mediation in the context of a moderated prevention effect for children of divorce. Journal of Consulting and Clinical Psychology, 72, 617-624. [M2] http://psycnet.apa.org/journals/ccp/72/4/617/

Tein, J. -Y. Sandler, I. N., & Zautra, A. (2000). Stressful life events, psychological distress, coping, and parenting of divorced mothers: A longitudinal study. Journal of Family Psychology, 14, 27-41. [M1]

Tein, J. -Y., & Schmeige, S. (2003, June). Mediation models for longitudinal data. Paper presented at the annual meeting of the Society for Prevention Research, Washington, D.C. [M2]

Tofighi, D., MacKinnon, D. P., Yoon, M. (2008, June). Covariance among regression coefficient estimates in a single mediator model. IMPS 2008, the 73rd Annual Meeting of the Psychometric Society. University of New Hampshire. Durham, NH. [M2]
http://www.psychometrika.org/meeting/2008/presentations/s47_tofighi.pdf

Tofighi, D., MacKinnon, D. P., & Yoon, M. (in press). Covariance among regression coefficients in a single mediator model. British Journal of Mathematical and Statistical Psychology. [M2] 

Wang, W., Tein, J.-Y., Brown, C. H., Mackinnon, D., and Sandler, I.  Moderation and Mediation Test under Generalized Additive Models with Application to the Family Bereavement Program.  The Sixteen Annual meeting of Society of Prevention Research, San Francisco, D.C. (May, 2008). [M2]

West, S. G., & Aiken, L. S. (1997). Toward understanding individual effects in multiple component prevention programs: Design and analysis strategies. In K. Bryant, M. Windle, & S. G. West (Eds.), The science of prevention: Methodological advances from alcohol and substance abuse research (pp. 167-209). Washington, DC: American Psychological Association. [M1]

West, S. G., & Aiken, L. S. (1998, March). Toward understanding effects of individual components in multicomponent interventions. Presented at Arizona State University’s Conference on Mediation Models in Prevention Research, Tempe, AZ. [M1]

Wilke, K. M., MacKinnon, D. P., Elliot, D. L., & Moe, E. (2006, May). Mediating mechanisms of a health promotion intervention for high school females. Poster presented at the annual meeting of the Society for Prevention Research, San Antonio, TX. [M2]

Williams, J. (2005). Resampling and distribution of the product methods for testing indirect effects in complex models (Doctoral dissertation, Arizona State University, 2005). Dissertation Abstracts International, 65, 6088. [M2]

Williams, J., & MacKinnon, D. P. (2002, April). Selection bias and the estimation of the mediated effect. Poster presented at the annual meeting of the Western Psychological Association, Irvine, CA. [M1]

Williams, J. & MacKinnon, D. P. (2004, July). Power & type I error rates of contrasts of indirect effects. Paper presented at the annual meeting of the American Psychological Association Honolulu, HI. [M2]

Williams, J., MacKinnon, D. P., & Cheong, J. (2002, May). The effect of missing data techniques on mediated program estimates. Poster presented at the annual meeting of the Society for Prevention Research, Seattle, WA. [M1]

Williams, J., & MacKinnon, D. P. (2008). Resampling and distribution of the product methods for testing indirect effects in complex models.  Structural Equation Modeling, 15, 23-51.  [M2]  http://www.informaworld.com/smpp/content~db=all~content=a789528515

Wolchik, S. A., Tein, J.-Y. , Sandler, I. N., & Ayers, T.  (2006). Stressors, quality of the child-caregiver relationship, and children's mental health problems after parental death: The mediating role of self-system beliefs.  Journal of Abnormal Child Psychology, 34, 212-229. [M2]  http://www.springerlink.com/content/16265j66r4q475wm

Wolchik, S.A., Tein, J.-Y., Sandler, I. N., & Wilcox, K. L. (2002). Fear of abandonment as a mediator of the relations between divorce stressors and mother–child relationship quality and children's adjustment problems. Journal of Abnormal Child Psychology, 30, 401-418. [M1]

Yoon, M., MacKinnon, D. P., & Lockwood, C. M. (2002, April). The difference in coefficient test for mediation in logistic regression. Poster presented at the annual meeting of the Western Psychological Association, Irvine, CA. [M1]



Downloadable papersgototop.tif (4218 bytes)

Program and Data Example for Yuan, Y., MacKinnon, D.P. (2009). Bayesian Mediation Analysis, Psychological Methods, 14, 301-322.

R: Code
Readme, firefighters, kennydata, mlmed,simplemed
If you would like the Macintosh version of these files, please send an e-mail request.

Supplemental Tables

Supplemental tables for MacKinnon, D.P., Taylor, A.B., Yoon, M., & Lockwood, C.M. (2007). A comparison of methods to test mediation and other intervening variable effects in logistic regression. Submitted to Psychological Methods.

Programs for Estimating Empirical Power:

SAS: Baron and Kenny, Joint, Sobel, Prodclin

R: Percentile and Bias-Corrected Bootstrap

Fritz, M.S., & MacKinnon, D.P. (In press). Required sample size to detect the mediated effect.  Psychological Science.

Programs for Estimating Three-Path Mediated Effects

SAS program for estimating three-path mediated effects when all variables are manifest

SAS program for finding bias-corrected bootstrap confidence interval from a set of bootstrapped estimates

Taylor, A. B., MacKinnon, D. P., & Tein, J. -Y. (in press). Tests of the three-path mediated effect. Organizational Research Methods.

PowerPoint Presentation software required to view these documents:

Association for Advancement of Behavior Therapy presentation (Boston - Nov '03)

National Institute on Drug Abuse Meeting on the Mechanisms of Action of Behavioral Treatments (Washington, DC - Feb '04)

Adobe Acrobat Reader is required to view these documents:

Technical Assistance Report: Mediation Analysis 
An overview of mediation analysis with SAS and SPSS code. 

Cumulative Frequency Distributions of the Mediated Effect 
MacKinnon, D. P., Lockwood, C. M., Hoffman, J. M., West, S. G., & Sheets, V. (2002). A comparison of methods to test the significance of the mediated effect. Psychological Methods, 7(1), 83-104.

A Simulation Study of Mediation, Suppression and Confounding 
Addendum to MacKinnon, D. P., Krull, J. L., & Lockwood, C. M. (2000). Equivalence of the mediation, confounding, and suppression effect. Prevention Science, 1, 173-181. 

A Detailed Description of the Discrepancy in Formulas for the Standard Error of the Difference Between
a Raw and Partial Correlation: A Typographical Error in Olkin and Finn (1995)
. Technical Report. Lockwood, C. M., & MacKinnon, David P. (2000).


Questions and Answers About Mediation 

To see common questions and answers about mediation, go here


 
 

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Last modified: November, 19 2008