Advantages of Monte Carlo confidence intervals for indirect effects
Abstract
Monte Carlo simulation is a useful but underutilized method of constructing confidence intervals for indirect effects in mediation analysis. The Monte Carlo confidence interval method has several distinct advantages over rival methods. Its performance is comparable to other widely accepted methods of interval construction, it can be used when only summary data are available, it can be used in situations where rival methods (e.g., bootstrapping and distribution of the product methods) are difficult or impossible, and it is not as computer-intensive as some other methods. In this study we discuss Monte Carlo confidence intervals for indirect effects, report the results of a simulation study comparing their performance to that of competing methods, demonstrate the method in applied examples, and discuss several software options for implementation in applied settings.
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95% confidence intervals of the indirect effect were computed using Monte Carlo resampling.
“we computed 95% confidence intervals of the indirect effect using the Monte Carlo resampling method (Preacher & Selig, 2012).”
From The impact of growth mindset training on entrepreneurial action among necessity entrepreneurs: Evidence from a randomized control trial (2023) · cites this paper as Preacher & Selig, 2012
There was a significant indirect association between ecological threat and prejudice across nations through cultural tightness, 95% CIs [.003, .03].
“Using Monte Carlo simulation, which is well-suited for testing multi-level mediation [48], we confirmed that there was a significant indirect association between ecological threat and prejudice across nations through cultural tightness, 95% CIs [.003, .03].”
From Ecological and cultural factors underlying the global distribution of prejudice (2019) · cites this paper as [48]
Cites
Baron, R. M., & Kenny, D. A. (1986) · Journal of Personality and Social Psychology · doi:10.1037//0022-3514.51.6.1173 · Cited by 91,542 · see citing works
Baron, R. M., & Kenny, D. A. (1986) · Journal of Personality and Social Psychology · doi:10.1037/0022-3514.51.6.1173 · Cited by 91,532 · see citing works
An Introduction to the Bootstrap
Efron, B., & Tibshirani, R. J. (1994) · doi:10.1201/9780429246593 · Cited by 40,500 · see citing works
Preacher, K. J., & Hayes, A. F. (2008) · Behavior Research Methods · doi:10.3758/brm.40.3.879 · Cited by 34,117 · see citing works
Self-citationAn Introduction to the Bootstrap
Efron, B., & Tibshirani, R. J. (1993) · doi:10.1007/978-1-4899-4541-9 · Cited by 21,230 · see citing works
Bootstrap methods: another look at the jackknife
Efron, B. (1979) · The Annals of Statistics · doi:10.1214/aos/1176344552 · Cited by 17,602 · see citing works
SPSS and SAS procedures for estimating indirect effects in simple mediation models
Preacher, K. J., & Hayes, A. F. (2004) · Behavior Research Methods, Instruments, & Computers · doi:10.3758/bf03206553 · Cited by 17,383 · see citing works
Self-citationMediation in experimental and nonexperimental studies: New procedures and recommendations.
Shrout, P. E., & Bolger, N. (2002) · Psychological Methods · doi:10.1037/1082-989x.7.4.422 · Cited by 11,335 · see citing works
Addressing Moderated Mediation Hypotheses: Theory, Methods, and Prescriptions
Preacher, K. J., Rucker, D. D., & Hayes, A. F. (2007) · Multivariate Behavioral Research · doi:10.1080/00273170701341316 · Cited by 9,973 · see citing works
Self-citationA comparison of methods to test mediation and other intervening variable effects
MacKinnon, D. P., Lockwood, C. M., Hoffman, J. M., West, S. G., & Sheets, V. (2002) · Psychological Methods · doi:10.1037/1082-989x.7.1.83 · Cited by 9,406 · see citing works
The Jackknife, the Bootstrap and Other Resampling Plans
Efron, B. (1982) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611970319 · Cited by 8,120 · see citing works
Confidence Limits for the Indirect Effect: Distribution of the Product and Resampling Methods
MacKinnon, D. P., Lockwood, C. M., & Williams, J. (2004) · Multivariate Behavioral Research · doi:10.1207/s15327906mbr3901_4 · Cited by 7,806 · see citing works
Bootstrap Methods and their Application
Davison, A. C., & Hinkley, D. V. (1997) · doi:10.1017/cbo9780511802843 · Cited by 7,350 · see citing works
Efron, B., & Tibshirani, R. (1986) · Statistical Science · doi:10.1214/ss/1177013815 · Cited by 6,033 · see citing works
Introduction to Statistical Mediation Analysis
MacKinnon, D. P. (2012) · doi:10.4324/9780203809556 · Cited by 5,618 · see citing works
Bootstrap Methods and Their Application
Loughin, T. M., Davison, A. C., & HINKLEY, D. V. (1999) · Journal of the American Statistical Association · doi:10.2307/2669707 · Cited by 5,478 · see citing works
Required sample size to detect the mediated effect
Fritz, M. S., & MacKinnon, D. P. (2007) · Psychological Science · doi:10.1111/j.1467-9280.2007.01882.x · Cited by 4,810 · see citing works
A general approach to causal mediation analysis.
Imai, K., Keele, L., & Tingley, D. (2010) · Psychological Methods · doi:10.1037/a0020761 · Cited by 4,143 · see citing works
A general multilevel SEM framework for assessing multilevel mediation
Preacher, K. J., Zyphur, M. J., & Zhang, Z. (2010) · Psychological Methods · doi:10.1037/a0020141 · Cited by 3,796 · see citing works
Self-citationCole, D. A., & Maxwell, S. E. (2003) · Journal of Abnormal Psychology · doi:10.1037/0021-843x.112.4.558 · Cited by 3,605 · see citing works
Better Bootstrap Confidence Intervals
Efron, B. (1987) · Journal of the American Statistical Association · doi:10.1080/01621459.1987.10478410 · Cited by 3,462 · see citing works
The Jackknife: The Bootstrap and Other Resampling Plans.
Low, L. Y., & Efron, B. (1983) · Journal of the American Statistical Association · doi:10.2307/2288218 · Cited by 2,728 · see citing works
Bootstrap confidence intervals
DiCiccio, T. J., & Efron, B. (1996) · Statistical Science · doi:10.1214/ss/1032280214 · Cited by 2,286 · see citing works
Stansfield, R. G., & Leinhardt, S. (1983) · Journal of the Operational Research Society · doi:10.1057/jors.1983.42 · Cited by 1,918 · see citing works
Bauer, D. J., Preacher, K. J., & Gil, K. M. (2006) · Psychological Methods · doi:10.1037/1082-989x.11.2.142 · Cited by 1,704 · see citing works
Self-citationNonparametric estimates of standard error: The jackknife, the bootstrap and other methods
EFRON, B. (1981) · Biometrika · doi:10.1093/biomet/68.3.589 · Cited by 1,399 · see citing works
Distribution of the product confidence limits for the indirect effect: Program PRODCLIN
MacKinnon, D. P., Fritz, M. S., Williams, J. G., & Lockwood, C. M. (2007) · Behavior Research Methods · doi:10.3758/bf03193007 · Cited by 1,328 · see citing works
Direct and Indirect Effects: Classical and Bootstrap Estimates of Variability
Bollen, K. A., & Stine, R. (1990) · Sociological Methodology · doi:10.2307/271084 · Cited by 1,305 · see citing works
Resampling and Distribution of the Product Methods for Testing Indirect Effects in Complex Models
Williams, J., & MacKinnon, D. P. (2008) · Structural Equation Modeling: A Multidisciplinary Journal · doi:10.1080/10705510701758166 · Cited by 1,240 · see citing works
Bootstrapping Regression Models
Freedman, D. A. (1981) · The Annals of Statistics · doi:10.1214/aos/1176345638 · Cited by 1,035 · see citing works
Hicks, R., & Tingley, D. H. (2011) · The Stata Journal Promoting communications on statistics and Stata · doi:10.1177/1536867x1201100407 · Cited by 810 · see citing works
Bootstrap Methods: A Guide for Practitioners and Researchers
Chernick, M. R. (2007) · Cited by 796 · see citing works
Theoretical Comparison of Bootstrap Confidence Intervals
Hall, P. V. (1988) · The Annals of Statistics · doi:10.1214/aos/1176350933 · Cited by 787 · see citing works
Yuan, Y., & MacKinnon, D. P. (2009) · Psychological Methods · doi:10.1037/a0016972 · Cited by 641 · see citing works
The Probability Function of the Product of Two Normally Distributed Variables
Aroian, L. A. (1947) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177730442 · Cited by 535 · see citing works
Assessing Mediational Models: Testing and Interval Estimation for Indirect Effects
Biesanz, J. C., Falk, C. F., & Savalei, V. (2010) · Multivariate Behavioral Research · doi:10.1080/00273171.2010.498292 · Cited by 397 · see citing works
An Introduction to Bootstrap Methods
Stine, R. A. (1989) · Sociological Methods & Research · doi:10.1177/0049124189018002003 · Cited by 370 · see citing works
Explanation of Two Anomalous Results in Statistical Mediation Analysis
Fritz, M. S., Taylor, A. B., & MacKinnon, D. P. (2012) · Multivariate Behavioral Research · doi:10.1080/00273171.2012.640596 · Cited by 358 · see citing works
On the Frequency Function of $xy$
Craig, C. C. (1936) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177732541 · Cited by 341 · see citing works
Contrasts in multiple mediator models.
MacKinnon, D. P. (2000) · Cited by 306 · see citing works
Causal Mediation Analysis Using R
Imai, K., Keele, L. J., Tingley, D. H., & Yamamoto, T. (2009) · Lecture notes in statistics · doi:10.1007/978-1-4419-1764-5_8 · Cited by 305 · see citing works
Cheung, M. W. ‐. (2007) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1080/10705510709336745 · Cited by 258 · see citing works
3. The Foundations of Causal Inference
Pearl, J. (2010) · Sociological Methodology · doi:10.1111/j.1467-9531.2010.01228.x · Cited by 229 · see citing works
Kaiser, H. F., & Dickman, K. W. (1962) · Psychometrika · doi:10.1007/bf02289635 · Cited by 182 · see citing works
Bootstrap confidence intervals: Good or bad?
Efron, B. (1988) · Psychological Bulletin · doi:10.1037/0033-2909.104.2.293 · Cited by 162 · see citing works
Qualms About Bootstrap Confidence Intervals
Nathaniel Schenker, A. (1985) · Journal of the American Statistical Association · doi:10.1080/01621459.1985.10478123 · Cited by 161 · see citing works
Handbook of Multilevel Analysis
Leckie, G. (2009) · Journal of the Royal Statistical Society Series A (Statistics in Society) · doi:10.1111/j.1467-985x.2009.00595_3.x · Cited by 158 · see citing works
Testing Causal Direction in the Influence of Presumed Media Influence
Tal‐Or, N., Cohen, J., Tsfati, Y., & Gunther, A. C. (2010) · Communication Research · doi:10.1177/0093650210362684 · Cited by 152 · see citing works
A Comparison of Single Sample and Bootstrap Methods to Assess Mediation in Cluster Randomized Trials
Pituch, K. A., Stapleton, L. M., & Kang, J. Y. (2006) · Multivariate Behavioral Research · doi:10.1207/s15327906mbr4103_5 · Cited by 135 · see citing works
van der Leeden, R., Meijer, E., & Busing, F. M. T. A. (2007) · Springer eBooks · doi:10.1007/978-0-387-73186-5_11 · Cited by 130 · see citing works
The Performance of Methods to Test Upper-Level Mediation in the Presence of Nonnormal Data
Pituch, K. A., & Stapleton, L. M. (2008) · Multivariate Behavioral Research · doi:10.1080/00273170802034844 · Cited by 117 · see citing works
A Comparison of Methods to Test for Mediation in Multisite Experiments
Pituch, K. A., Whittaker, T. A., & Stapleton, L. M. (2005) · Multivariate Behavioral Research · doi:10.1207/s15327906mbr4001_1 · Cited by 110 · see citing works
de Vries, A. L. M., Mellenbergh, G. J., van Heerden, J., & Vorst, H. C. M. (2008) · Cited by 101 · see citing works
Springer, M. (1983) · Technometrics · doi:10.1080/00401706.1983.10487864 · Cited by 63 · see citing works
Upper Bounds on the True Coverage of Bootstrap Percentile Type Confidence Intervals
Polansky, A. M. (1999) · The American Statistician · doi:10.1080/00031305.1999.10474491 · Cited by 32 · see citing works
Wang, J., Carpenter, J. R., & Kepler, M. A. (2006) · Computer Methods and Programs in Biomedicine · doi:10.1016/j.cmpb.2006.02.006 · Cited by 27 · see citing works
Methods for Evaluating Mediation Effects: Rationale and Comparison
Zhang, Z., & Wang, L. (2007) · Cited by 18 · see citing works
The automatic percentile method: Accurate confidence limits in parametric models
DiCiccio, T. J., & Romano, J. P. (1989) · Canadian Journal of Statistics · doi:10.2307/3314845 · Cited by 9 · see citing works
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An index and test of linear moderated mediation
Hayes, A. F. (2015) · Multivariate Behavioral Research · doi:10.1080/00273171.2014.962683 · Cited by 3,979 · see citing works
Hayes, A. F. (2018) · Communication Monographs · doi:10.1080/03637751.2017.1352100 · Cited by 3,516 · see citing works
Hayes, A. F., & Scharkow, M. (2013) · Psychological Science · doi:10.1177/0956797613480187 · Cited by 2,438 · see citing works
Hayes, A. F., & Rockwood, N. J. (2017) · Behaviour Research and Therapy · doi:10.1016/j.brat.2016.11.001 · Cited by 2,350 · see citing works
Determining power and sample size for simple and complex mediation models
Schoemann, A. M., Boulton, A. J., & Short, S. D. (2017) · Social Psychological and Personality Science · doi:10.1177/1948550617715068 · Cited by 1,837 · see citing works
Reliability estimation in a multilevel confirmatory factor analysis framework.
Geldhof, G. J., Preacher, K. J., & Zyphur, M. J. (2013) · Psychological Methods · doi:10.1037/a0032138 · Cited by 1,517 · see citing works
Self-citationHayes, A. F., & Rockwood, N. (2019) · American Behavioral Scientist · doi:10.1177/0002764219859633 · Cited by 1,058 · see citing works
Two-condition within-participant statistical mediation analysis: A path-analytic framework.
Montoya, A. K., & Hayes, A. F. (2016) · Psychological Methods · doi:10.1037/met0000086 · Cited by 939 · see citing works
Advances in Mediation Analysis: A Survey and Synthesis of New Developments
Preacher, K. J. (2014) · Annual Review of Psychology · doi:10.1146/annurev-psych-010814-015258 · Cited by 800 · see citing works
Self-citationPerosanz, J. J. I., & Hayes, A. F. (2021) · The Spanish Journal of Psychology · doi:10.1017/sjp.2021.46 · Cited by 649 · see citing works
Dong, Y., Bartol, K. M., Zhang, Z., & Li, C. (2016) · Journal of Organizational Behavior · doi:10.1002/job.2134 · Cited by 619 · see citing works
semTools: Useful Tools for Structural Equation Modeling
Jorgensen, T. D., Pornprasertmanit, S., Schoemann, A. M., & Rosseel, Y. (2012) · doi:10.32614/cran.package.semtools · Cited by 648 · see citing works
Future time perspective: A systematic review and meta-analysis.
Kooij, D. T. A. M., Kanfer, R., Betts, M., & Rudolph, C. W. (2018) · Journal of Applied Psychology · doi:10.1037/apl0000306 · Cited by 576 · see citing works
Best (but oft-forgotten) practices: mediation analysis ,
Fairchild, A. J., & McDaniel, H. L. (2017) · American Journal of Clinical Nutrition · doi:10.3945/ajcn.117.152546 · Cited by 512 · see citing works
Butts, M. M., Casper, W. J., & Yang, T. S. (2012) · Journal of Applied Psychology · doi:10.1037/a0030389 · Cited by 494 · see citing works
Saving lives: A meta-analysis of team training in healthcare.
Hughes, A. M., Gregory, M. E., Joseph, D. L., Sonesh, S. C., Marlow, S. L., Lacerenza, C. N., Benishek, L. E., King, H. B., & Salas, E. (2016) · Journal of Applied Psychology · doi:10.1037/apl0000120 · Cited by 495 · see citing works
Mediation, Moderation, and Conditional Process Analysis
Rockwood, N., & Hayes, A. F. (2020) · Cambridge University Press eBooks · doi:10.1017/9781316995808.037 · Cited by 471 · see citing works
Joseph, D. L., Jin, J., Newman, D. A., & O’Boyle, E. H. (2014) · Journal of Applied Psychology · doi:10.1037/a0037681 · Cited by 476 · see citing works
Loneliness over time: The crucial role of social anxiety.
Lim, M. H., Rodebaugh, T. L., Zyphur, M. J., & Gleeson, J. F. M. (2016) · Journal of Abnormal Psychology · doi:10.1037/abn0000162 · Cited by 443 · see citing works
A Practical Primer To Power Analysis for Simple Experimental Designs
Perugini, M., Gallucci, M., & Costantini, G. (2018) · International Review of Social Psychology · doi:10.5334/irsp.181 · Cited by 426 · see citing works
Rungtusanatham, M. J., Miller, J. W., & Boyer, K. K. (2014) · Journal of Operations Management · doi:10.1016/j.jom.2014.01.002 · Cited by 412 · see citing works
Cheon, S. H., Reeve, J., & Vansteenkiste, M. (2020) · Teaching and Teacher Education · doi:10.1016/j.tate.2019.103004 · Cited by 406 · see citing works
Teaching personal initiative beats traditional training in boosting small business in West Africa
Campos, F., Frese, M., Goldstein, M., Iacovone, L., Johnson, H. C., McKenzie, D., & Mensmann, M. (2017) · Science · doi:10.1126/science.aan5329 · Cited by 399 · see citing works
Cooke, F. L., Cooper, B. K., Bartram, T., Wang, J., & Mei, H. (2016) · The International Journal of Human Resource Management · doi:10.1080/09585192.2015.1137618 · Cited by 416 · see citing works
Prem, R., Ohly, S., Kubicek, B., & Korunka, C. (2016) · Journal of Organizational Behavior · doi:10.1002/job.2115 · Cited by 379 · see citing works
Mediation analysis methods used in observational research: a scoping review and recommendations
Rijnhart, J. J. M., Lamp, S. J., Valente, M. J., MacKinnon, D. P., Twisk, J. W. R., & Heymans, M. W. (2021) · BMC Medical Research Methodology · doi:10.1186/s12874-021-01426-3 · Cited by 377 · see citing works
Zhang, Y., LePine, J. A., Buckman, B. R., & Wei, F. (2013) · Academy of Management Journal · doi:10.5465/amj.2011.1110 · Cited by 356 · see citing works
Cooper, B., Wang, J., Bartram, T., & Cooke, F. L. (2019) · Human Resource Management · doi:10.1002/hrm.21934 · Cited by 325 · see citing works
Afsar, B., Maqsoom, A., Shahjehan, A., Afridi, S. A., Nawaz, A., & Fazliani, H. (2019) · Corporate Social Responsibility and Environmental Management · doi:10.1002/csr.1806 · Cited by 311 · see citing works
How Leadership and Public Service Motivation Enhance Innovative Behavior
Miao, Q., Newman, A., Schwarz, G., & Cooper, B. K. (2017) · Public Administration Review · doi:10.1111/puar.12839 · Cited by 341 · see citing works
Gender and leadership emergence: A meta-analysis and explanatory model
Badura, K. L., Grijalva, E., Newman, D. A., Yan, T. T., & Jeon, G. (2018) · Personnel Psychology · doi:10.1111/peps.12266 · Cited by 288 · see citing works
Hu, J. J., & Liden, R. C. (2014) · Academy of Management Journal · doi:10.5465/amj.2012.1142 · Cited by 285 · see citing works
Leader Humor as an Interpersonal Resource: Integrating Three Theoretical Perspectives
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A novel measure of effect size for mediation analysis
Lachowicz, M. J., Preacher, K. J., & Kelley, K. (2018) · Psychological Methods · doi:10.1037/met0000165 · Cited by 271 · see citing works
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Mawritz, M. B., Greenbaum, R. L., Butts, M. M., & Graham, K. A. (2016) · Academy of Management Journal · doi:10.5465/amj.2014.0409 · Cited by 271 · see citing works
Loi, R., Chan, K. W., & Lam, L. W. (2014) · Journal of Occupational and Organizational Psychology · doi:10.1111/joop.12028 · Cited by 249 · see citing works
What keeps low-SES children from sleeping well: the role of presleep worries and sleep environment
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Adedokun, O. A., Bessenbacher, A. B., Parker, L. C., Kirkham, L. L., & Burgess, W. D. (2013) · Journal of Research in Science Teaching · doi:10.1002/tea.21102 · Cited by 244 · see citing works
Why Are Abusive Supervisors Abusive? A Dual-system Self-control Model
Liang, L. H., Lian, H., Brown, D. J., Ferris, D. L., Hanig, S., & Keeping, L. M. (2015) · Academy of Management Journal · doi:10.5465/amj.2014.0651 · Cited by 236 · see citing works
Employee green behavior: A meta‐analysis
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Helicopter Parenting and Emerging Adult Self-Efficacy: Implications for Mental and Physical Health
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Randomized controlled trial of a positive affect intervention for people newly diagnosed with HIV.
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Shao, Y., Nijstad, B. A., & Täuber, S. (2019) · Organizational Behavior and Human Decision Processes · doi:10.1016/j.obhdp.2019.01.008 · Cited by 221 · see citing works
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A dual-stage moderated mediation model linking authoritarian leadership to follower outcomes.
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MEDIATION ANALYSIS: ISSUES AND RECOMMENDATIONS
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Servant leadership and follower job performance: The mediating effect of public service motivation
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Lorinkova, N., & Perry, S. J. (2014) · Journal of Management · doi:10.1177/0149206314560411 · Cited by 186 · see citing works
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Rasoolimanesh, S. M., Wang, M., Roldán, J. L., & Kunasekaran, P. (2021) · Journal of Hospitality and Tourism Management · doi:10.1016/j.jhtm.2021.07.013 · Cited by 173 · see citing works
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Thriving at Work: How a Paradox Mindset Influences Innovative Work Behavior
Liu, Y., Xu, S., & Zhang, B. (2019) · The Journal of Applied Behavioral Science · doi:10.1177/0021886319888267 · Cited by 183 · see citing works
Gallagher, M., Prinstein, M. J., Simon, V., & Spirito, A. (2014) · Journal of Abnormal Child Psychology · doi:10.1007/s10802-013-9844-7 · Cited by 162 · see citing works
“Confidence intervals resulting from the Monte Carlo approach have been shown to perform as well as other methods such as the bias-corrected bootstrap (Preacher and Selig 2012).”
MethodConceptual Analysis of Moderator and Mediator Variables in Business Research
Namazi, M., & Namazi, N. R. (2016) · Procedia Economics and Finance · doi:10.1016/s2212-5671(16)30064-8 · Cited by 166 · see citing works
Bagheri, A., Newman, A., & Eva, N. (2020) · Journal of Small Business Management · doi:10.1080/00472778.2020.1737094 · Cited by 165 · see citing works
Leveraging age diversity for organizational performance: An intellectual capital perspective.
Li, Y., Gong, Y., Burmeister, A., Wang, M., Alterman, V., Alonso, A., & Robinson, S. (2020) · Journal of Applied Psychology · doi:10.1037/apl0000497 · Cited by 168 · see citing works
Ballew, M. T., Pearson, A. R., Goldberg, M. H., Rosenthal, S. A., & Leiserowitz, A. (2019) · Global Environmental Change · doi:10.1016/j.gloenvcha.2019.102024 · Cited by 163 · see citing works
Rofcanın, Y., Heras, M. L., & Bakker, A. B. (2016) · Journal of Occupational Health Psychology · doi:10.1037/ocp0000036 · Cited by 165 · see citing works
Moskowitz, J. T., Cheung, E. O., Snowberg, K. E., Verstaen, A., Merrilees, J. J., Salsman, J. M., & Dowling, G. A. (2019) · Health Psychology · doi:10.1037/hea0000680 · Cited by 161 · see citing works
Serving You Depletes Me? A Leader-Centric Examination of Servant Leadership Behaviors
Liao, C., Lee, H. W., Johnson, R. E., & Lin, S. (2020) · Journal of Management · doi:10.1177/0149206320906883 · Cited by 165 · see citing works
Adolescent body dissatisfaction and disordered eating: Predictors of later risky health behaviours
Bornioli, A., Lewis‐Smith, H., Smith, A. D. A. C., Slater, A., & Bray, I. (2019) · Social Science & Medicine · doi:10.1016/j.socscimed.2019.112458 · Cited by 162 · see citing works
Cheng, K., Wei, F., & Lin, Y. (2019) · Journal of Business Research · doi:10.1016/j.jbusres.2019.04.044 · Cited by 154 · see citing works
McLarnon, M. J. W., & O’Neill, T. (2018) · Organizational Research Methods · doi:10.1177/1094428118770731 · Cited by 153 · see citing works
Liao, Z., Lee, H. W., Johnson, R. E., Song, Z., & Liu, Y. (2020) · Journal of Applied Psychology · doi:10.1037/apl0000508 · Cited by 152 · see citing works
Martinaitytė, I., Sacramento, C. A., & Aryee, S. (2016) · Journal of Management · doi:10.1177/0149206316672532 · Cited by 160 · see citing works
Tuấn, L. T. (2020) · Journal of Sustainable Tourism · doi:10.1080/09669582.2020.1834565 · Cited by 154 · see citing works
Williams, N. J., Wolk, C. B., Becker‐Haimes, E. M., & Beidas, R. S. (2020) · Implementation Science · doi:10.1186/s13012-020-0970-7 · Cited by 151 · see citing works
Ecological and cultural factors underlying the global distribution of prejudice
Jackson, J. C., van Egmond, M., Choi, V. K., Ember, C. R., Halberstadt, J., Balanovic, J., Basker, I. N., Boehnke, K., Buki, N., Fischer, R., et al. (2019) · PLOS ONE · doi:10.1371/journal.pone.0221953 · Cited by 144 · see citing works
Young, H. R., Glerum, D. R., Joseph, D. L., & McCord, M. A. (2021) · Journal of Management · doi:10.1177/0149206320908646 · Cited by 143 · see citing works
Pan, J., Guan, Y., Wu, J., Han, L., Zhu, F., Fu, X., & Yu, J. (2018) · Journal of Vocational Behavior · doi:10.1016/j.jvb.2018.09.003 · Cited by 148 · see citing works
Huang, L. V., Krasikova, D. V., & Liu, D. (2015) · Organizational Behavior and Human Decision Processes · doi:10.1016/j.obhdp.2015.12.002 · Cited by 142 · see citing works
Malhotra, M. K., Singhal, C., Shang, G., & Ployhart, R. E. (2014) · Journal of Operations Management · doi:10.1016/j.jom.2014.01.003 · Cited by 144 · see citing works
Emotional support, social goals, and classroom behavior: A multilevel, multisite study.
Wentzel, K. R., Muenks, K. M., McNeish, D., & Russell, S. L. (2018) · Journal of Educational Psychology · doi:10.1037/edu0000239 · Cited by 144 · see citing works
Djourova, N. P., Rodríguez, I., Tordera, N., & Abate, G. B. (2019) · Journal of Leadership & Organizational Studies · doi:10.1177/1548051819849002 · Cited by 151 · see citing works
Weobong, B., Weiss, H. A., McDaid, D., Singla, D. R., Hollon, S. D., Nadkarni, A., Park, A.-L., Bhat, B., Katti, B., Anand, A., et al. (2017) · PLOS Medicine · doi:10.1371/journal.pmed.1002385 · Cited by 135 · see citing works
Testing Moderation in Business and Psychological Studies with Latent Moderated Structural Equations
Cheung, G. W., Cooper-Thomas, H. D., Lau, R. S., & Wang, L. C. (2021) · Journal of Business and Psychology · doi:10.1007/s10869-020-09717-0 · Cited by 138 · see citing works
Tuấn, L. T. (2022) · International Journal of Hospitality Management · doi:10.1016/j.ijhm.2022.103253 · Cited by 147 · see citing works
Extended work availability and its relation with start-of-day mood and cortisol.
Dettmers, J., Vahle‐Hinz, T., Bamberg, E., Friedrich, N., & Keller, M. (2015) · Journal of Occupational Health Psychology · doi:10.1037/a0039602 · Cited by 140 · see citing works
When Victims Help Their Abusive Supervisors: The Role of LMX, Self-Blame, and Guilt
Tröster, C., & Quaquebeke, N. V. (2020) · Academy of Management Journal · doi:10.5465/amj.2019.0559 · Cited by 137 · see citing works
Moderated Mediation Analysis Using Bayesian Methods
Wang, L., & Preacher, K. J. (2014) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1080/10705511.2014.935256 · Cited by 137 · see citing works
Self-citationThe privacy calculus contextualized: The influence of affordances
Trepte, S., Scharkow, M., & Dienlin, T. (2019) · Computers in Human Behavior · doi:10.1016/j.chb.2019.08.022 · Cited by 136 · see citing works
Lauermann, F., & Berger, J. (2021) · Learning and Instruction · doi:10.1016/j.learninstruc.2020.101441 · Cited by 154 · see citing works
Chen, H., Liu, F., Pang, L., Liu, F., Fang, T., Wen, Y., Chen, S., Xie, Z., Zhang, X., Zhao, Y., et al. (2020) · International Journal of Environmental Research and Public Health · doi:10.3390/ijerph17249188 · Cited by 134 · see citing works
The Roles of Supply Chain Intelligence and Adaptability in New Product Launch Success
Schoenherr, T., & Swink, M. L. (2015) · Decision Sciences · doi:10.1111/deci.12163 · Cited by 132 · see citing works
Miao, Q., Eva, N., Newman, A., & Cooper, B. (2019) · Journal of Small Business Management · doi:10.1111/jsbm.12465 · Cited by 131 · see citing works
Why do employees have better family lives when they are highly engaged at work?
Ilieș, R., Liu, X., Liu, Y., & Zheng, X. (2017) · Journal of Applied Psychology · doi:10.1037/apl0000211 · Cited by 133 · see citing works
Visions of Change as Visions of Continuity
Venus, M., Stam, D. A., & van Knippenberg, D. (2018) · Academy of Management Journal · doi:10.5465/amj.2015.1196 · Cited by 135 · see citing works
Discrete emotions linking abusive supervision to employee intention and behavior
Peng, A. C., Schaubroeck, J. M., Chong, S., & Li, Y. (2018) · Personnel Psychology · doi:10.1111/peps.12310 · Cited by 129 · see citing works
Jackson, S. D., Mohr, J. J., Sarno, E. L., Kindahl, A. M., & Jones, I. L. (2020) · Journal of Consulting and Clinical Psychology · doi:10.1037/ccp0000489 · Cited by 129 · see citing works
Bailey, T. S., Dollard, M. F., & Richards, P. A. M. (2014) · Journal of Occupational Health Psychology · doi:10.1037/a0038166 · Cited by 125 · see citing works
- Authors
- Preacher, K. J., & Selig, J. P.
- Affiliations
- Vanderbilt University (US)
- University of New Mexico (US)
- Corresponding author
- Preacher, Kristopher J.
- Venue
- Communication Methods and Measures
- Publisher
- Informa UK Limited
- Published
- 2012-04
- Volume
- 6
- Issue
- 2
- Pages
- 77-98
- ISSN
- 1931-2458 (ISSN-L)
- 1931-2466
- OpenAlex
- W2104411852
- Cited by
- 1,908
- References
- 58
- Citations by year
- 2026: 237 · 2025: 199 · 2024: 195 · 2023: 183 · 2022: 202 · 2021: 184 · 2020: 138 · 2019: 142 · 2018: 115 · 2017: 90 · 2016: 76 · 2015: 67 · 2014: 52 · 2013: 25 · 2012: 3
- FWCI
- 45.24
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Communication Methods and Measures (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Causal Inference Techniques
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
- Keywords
- indirect effects, mediation analysis, confidence interval construction, bootstrapping, simulation study, summary data, software implementation
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
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