Tutorial: The practical application of longitudinal structural equation mediation models in clinical trials
Open accessAbstract
The study of mediation of treatment effects, or how treatments work, is important to understanding and improving psychological and behavioral treatments, but applications often focus on mediators and outcomes measured at a single time point. Such cross-sectional analyses do not respect the implied temporal ordering that mediation suggests. Clinical trials of treatments often provide repeated measures of outcomes and, increasingly, of mediators as well. Repeated measurements allow the application of various types of longitudinal structural equation mediation models. These provide flexibility in modeling, including the ability to incorporate some types of measurement error and unmeasured confounding that can strengthen the robustness of findings. The usual approach is to identify the most theoretically plausible model and apply that model. In the absence of clear theory, we put forward the option of fitting a few theoretically plausible models, providing a type of sensitivity analysis for the mediation hypothesis. In this tutorial, we outline how to fit several longitudinal mediation models, including simplex, latent growth and latent change models. This will allow readers to learn about one type of model that is of interest, or about several alternative models, so that they can take this sensitivity approach. We use the Pacing, Graded Activity, and Cognitive Behavioral Therapy: A Randomized Evaluation (PACE) trial of rehabilitative treatments for chronic fatigue syndrome (ISRCTN 54285094) as a motivating example and describe how to fit and interpret various longitudinal mediation models using simulated data similar to those in the PACE trial. The simulated data set and Mplus code and output are provided. (PsycINFO Database Record
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An advantage of models that capture longitudinal change on two or more variables simultaneously across a smaller number of time points is that they can be applied in contexts where intensive longitudinal data collection is not practical, while still offering insight into timing and direction of process-outcome relationships.
“In addition to requiring fewer time points, an advantage of these latter models is that they can be applied in contexts in which it is not practical to adopt intensive longitudinal data collection, while still offering insight into the timing and direction of process-outcome relationships.”
From Acceptance and Commitment Therapy Processes and Mediation: Challenges and How to Address Them (2023) · cites this paper as Goldsmith et al., 2018
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Hu, L., & Bentler, P. M. (1999) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1080/10705519909540118 · Cited by 108,788 · 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 91,542 · 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
A new look at the statistical model identification
Akaike, H. (1974) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1974.1100705 · Cited by 51,879 · see citing works
Estimating the Dimension of a Model
Schwarz, G. (1978) · The Annals of Statistics · doi:10.1214/aos/1176344136 · Cited by 47,033 · 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
Alternative Ways of Assessing Model Fit
Browne, M. W., & Cudeck, R. (1992) · Sociological Methods & Research · doi:10.1177/0049124192021002005 · Cited by 27,200 · see citing works
An 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
Structural Equations with Latent Variables
Bollen, K. A. (1989) · Wiley series in probability and statistics · doi:10.1002/9781118619179 · Cited by 17,512 · see citing works
Kass, R. E., & Raftery, A. E. (1995) · Journal of the American Statistical Association · doi:10.1080/01621459.1995.10476572 · Cited by 12,558 · see citing works
Mediation 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
A 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
Self-citationConfidence 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
Self-citationStructural model evaluation and modification: An interval estimation approach
Steiger, J. H. (1990) · Multivariate Behavioral Research · doi:10.1207/s15327906mbr2502_4 · Cited by 7,408 · see citing works
MCHORNEY, C. A., JOHNE, W., & ANASTASIAE, R. (1993) · Medical Care · doi:10.1097/00005650-199303000-00006 · Cited by 6,681 · see citing works
Introduction to Statistical Mediation Analysis
MacKinnon, D. P. (2012) · doi:10.4324/9780203809556 · Cited by 5,618 · see citing works
Self-citationEnders, C., & Bandalos, D. (2001) · Structural Equation Modeling: A Multidisciplinary Journal · doi:10.1207/s15328007sem0803_5 · Cited by 4,978 · 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
Methodology for Genetic Studies of Twins and Families
Neale, M. C., & Cardon, L. R. (1992) · doi:10.1007/978-94-015-8018-2 · Cited by 4,005 · see citing works
Cole, 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
Bias in cross-sectional analyses of longitudinal mediation
Maxwell, S. E., & Cole, D. A. (2007) · Psychological Methods · doi:10.1037/1082-989x.12.1.23 · Cited by 3,401 · see citing works
Preacher, K. J., & Kelley, K. (2011) · Psychological Methods · doi:10.1037/a0022658 · Cited by 3,060 · see citing works
Process Analysis: Estimating Mediation in Treatment Evaluations
Judd, C. M., & Kenny, D. A. (1981) · Evaluation Review · doi:10.1177/0193841x8100500502 · Cited by 2,442 · see citing works
Statistically based tests for the number of common factors
Steiger, J. H. (1980) · Medical Entomology and Zoology · Cited by 2,413 · see citing works
Computing Bayes Factors by Combining Simulation and Asymptotic Approximations
DiCiccio, T., Kass, R., Raftery, A., & Wasserman, L. (1997) · Journal of the American Statistical Association · doi:10.1080/01621459.1997.10474045 · Cited by 2,029 · see citing works
Latent Variable Modeling of Differences and Changes with Longitudinal Data
McArdle, J. J. (2009) · Annual Review of Psychology · doi:10.1146/annurev.psych.60.110707.163612 · Cited by 1,952 · see citing works
Estimating Mediated Effects in Prevention Studies
MacKinnon, D. P., & Dwyer, J. H. (1993) · Evaluation Review · doi:10.1177/0193841x9301700202 · Cited by 1,936 · see citing works
Self-citationIdentifiability and exchangeability for direct and indirect effects
Robins, J. M., & Greenland, S. (1992) · Epidemiology · doi:10.1097/00001648-199203000-00013 · Cited by 1,793 · see citing works
Statistical Approaches to Measurement Invariance
Millsap, R. E. (2012) · doi:10.4324/9780203821961 · Cited by 1,554 · see citing works
Bagozzi, R. P., & Heatherton, T. F. (1994) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1080/10705519409539961 · Cited by 1,477 · see citing works
The Decomposition of Effects in Path Analysis
Alwin, D. F., & Hauser, R. M. (1975) · American Sociological Review · doi:10.2307/2094445 · Cited by 1,447 · see citing works
Maxwell, S. E., Cole, D. A., & Mitchell, M. A. (2011) · Multivariate Behavioral Research · doi:10.1080/00273171.2011.606716 · Cited by 1,391 · see citing works
Chen, H.-T. (1990) · Medical Entomology and Zoology · Cited by 1,227 · see citing works
Some New Results on Indirect Effects and Their Standard Errors in Covariance Structure Models
Sobel, M. E. (1986) · Sociological Methodology · doi:10.2307/270922 · Cited by 1,096 · see citing works
Application of random-effects pattern-mixture models for missing data in longitudinal studies.
Hedeker, D., & Gibbons, R. D. (1997) · Psychological Methods · doi:10.1037/1082-989x.2.1.64 · Cited by 907 · see citing works
White, P., Goldsmith, K., Johnson, A., Potts, L., Walwyn, R., DeCesare, J., Baber, H., Burgess, M., Clark, L., Cox, D., et al. (2011) · The Lancet · doi:10.1016/s0140-6736(11)60096-2 · Cited by 897 · see citing works
Self-citationWillett, J. B., & Sayer, A. G. (1994) · Psychological Bulletin · doi:10.1037/0033-2909.116.2.363 · Cited by 896 · see citing works
Mediation Models for Longitudinal Data in Developmental Research
Selig, J. P., & Preacher, K. J. (2009) · Research in Human Development · doi:10.1080/15427600902911247 · Cited by 804 · see citing works
Muthén, B., & Curran, P. J. (1997) · Psychological Methods · doi:10.1037/1082-989x.2.4.371 · Cited by 768 · see citing works
Conceptual issues concerning mediation, interventions and composition
VanderWeele, T. J., & Vansteelandt, S. (2009) · Statistics and Its Interface · doi:10.4310/sii.2009.v2.n4.a7 · Cited by 731 · see citing works
Marsh, H. W., & Hau, K. (1996) · The Journal of Experimental Education · doi:10.1080/00220973.1996.10806604 · Cited by 700 · see citing works
Standardized or simple effect size: what should be reported?
Baguley, T. (2009) · British Journal of Psychology · doi:10.1348/000712608x377117 · Cited by 619 · see citing works
Marginal Structural Models for the Estimation of Direct and Indirect Effects
VanderWeele, T. J. (2009) · Epidemiology · doi:10.1097/ede.0b013e31818f69ce · Cited by 583 · see citing works
Taking Account of Time Lags in Causal Models
Gollob, H. F., & Reichardt, C. S. (1987) · Child Development · doi:10.2307/1130293 · Cited by 572 · see citing works
Longitudinal Structural Equation Modeling
Newsom, J. T. (2015) · doi:10.4324/9781315871318 · Cited by 446 · see citing works
Investigation of Mediational Processes Using Parallel Process Latent Growth Curve Modeling
Cheong, J., MacKinnon, D. P., & Khoo, S. T. (2003) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1207/s15328007sem1002_5 · Cited by 442 · see citing works
Self-citationWright, S. (1920) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.6.6.320 · Cited by 433 · see citing works
Effect Decomposition in the Presence of an Exposure-Induced Mediator-Outcome Confounder
VanderWeele, T. J., Vansteelandt, S., & Robins, J. M. (2014) · Epidemiology · doi:10.1097/ede.0000000000000034 · Cited by 395 · see citing works
Measuring fatigue in clinical and community settings
Cella, M., & Chalder, T. (2009) · Journal of Psychosomatic Research · doi:10.1016/j.jpsychores.2009.10.007 · Cited by 380 · see citing works
Self-citationThe Role of Coding Time in Estimating and Interpreting Growth Curve Models.
Biesanz, J. C., Deeb‐Sossa, N., Papadakis, A. A., Bollen, K. A., & Curran, P. J. (2004) · Psychological Methods · doi:10.1037/1082-989x.9.1.30 · Cited by 375 · 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
Self-citationEmsley, R., Dunn, G., & White, I. R. (2010) · Statistical Methods in Medical Research · doi:10.1177/0962280209105014 · Cited by 356 · see citing works
Comparison of methods for constructing confidence intervals of standardized indirect effects
Cheung, M. W. ‐. (2009) · Behavior Research Methods · doi:10.3758/brm.41.2.425 · Cited by 279 · see citing works
ESTIMATION AND TESTING OF SIMPLEX MODELS
Jöreskog, K. G. (1970) · British Journal of Mathematical and Statistical Psychology · doi:10.1111/j.2044-8317.1970.tb00439.x · Cited by 274 · see citing works
MacKinnon, D. P., & Pirlott, A. G. (2014) · Personality and Social Psychology Review · doi:10.1177/1088868314542878 · Cited by 257 · see citing works
Self-citationStructural equation models and the quantification of behavior
Bollen, K. A., & Noble, M. D. (2011) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1010661108 · Cited by 248 · see citing works
Modeling True Intraindividual Change: True Change as a Latent Variable
Steyer, R., Eid, M., & Schwenkmezger, P. (1997) · doi:10.23668/psycharchives.12718 · Cited by 233 · see citing works
Buchwald, D., Pearlman, T., Umali, J., Schmaling, K. B., & Katon, W. J. (1996) · The American Journal of Medicine · doi:10.1016/s0002-9343(96)00234-3 · Cited by 226 · see citing works
Interpreting and estimating indirect effects assuming time lags really matter.
Gollob, H. F., & Reichardt, C. S. (1991) · Best methods for the analysis of change: Recent advances, unanswered questions, future directions. · doi:10.1037/10099-015 · Cited by 198 · see citing works
Stephenson, M. T., & Holbert, R. L. (2003) · Communication Research · doi:10.1177/0093650203030003004 · Cited by 197 · see citing works
Skerrett, T., & Moss-Morris, R. (2006) · Journal of Psychosomatic Research · doi:10.1016/j.jpsychores.2006.04.018 · Cited by 186 · see citing works
Modelling Covariances and Latent Variables Using EQS.
SW, Dunn, G., Everitt, B. J., & Pickles, A. R. (1995) · Journal of the American Statistical Association · doi:10.2307/2291118 · Cited by 182 · see citing works
Self-citation(1979) · Cited by 166 · see citing works
American Sociological Association
Hill, M. R. (2010) · The Blackwell Encyclopedia of Sociology · doi:10.1002/9781405165518.wbeosa047.pub2 · Cited by 155 · see citing works
Stavola, B. L. D., Daniel, R., Ploubidis, G. B., & Micali, N. (2014) · American Journal of Epidemiology · doi:10.1093/aje/kwu239 · Cited by 147 · see citing works
the PACE trial group, White, P. D., Sharpe, M., Chalder, T., DeCesare, J. C., & Walwyn, R. E. A. (2007) · BMC Neurology · doi:10.1186/1471-2377-7-6 · Cited by 145 · see citing works
Self-citationWhen the test of mediation is more powerful than the test of the total effect
O’Rourke, H. P., & MacKinnon, D. P. (2014) · Behavior Research Methods · doi:10.3758/s13428-014-0481-z · Cited by 136 · see citing works
Self-citationChalder, T., Goldsmith, K. A., White, P. D., Sharpe, M., & Pickles, A. R. (2015) · The Lancet Psychiatry · doi:10.1016/s2215-0366(14)00069-8 · Cited by 134 · see citing works
Self-citationHambrook, D. G., Oldershaw, A., Rimes, K. A., Schmidt, U. H., Tchanturia, K., Treasure, J. L., Richards, S., & Chalder, T. (2010) · British Journal of Clinical Psychology · doi:10.1348/014466510x519215 · Cited by 126 · see citing works
Self-citationEarly changes, attrition, and dose–response in low intensity psychological interventions
Delgadillo, J., McMillan, D., Lucock, M. P., Leach, C., Ali, S., & Gilbody, S. M. (2013) · British Journal of Clinical Psychology · doi:10.1111/bjc.12031 · Cited by 124 · see citing works
MOS 36-item Short-Form Health Survey
Ware, J. E., & Sherbourne, C. D. (1992) · PsycTESTS Dataset · doi:10.1037/t06708-000 · Cited by 122 · see citing works
Pickles, A. R., Harris, V., Green, J., Aldred, C. R., McConachie, H., Slonims, V., Couteur, A. S. L., Hudry, K., & Charman, T. (2014) · Journal of Child Psychology and Psychiatry · doi:10.1111/jcpp.12291 · Cited by 118 · see citing works
Self-citationPeters, C. L. O., & Enders, C. K. (2002) · Journal of Targeting Measurement and Analysis for Marketing · doi:10.1057/palgrave.jt.5740069 · Cited by 114 · see citing works
On the (In)Validity of Tests of Simple Mediation: Threats and Solutions
Pek, J. C. X., & Hoyle, R. H. (2016) · Social and Personality Psychology Compass · doi:10.1111/spc3.12237 · Cited by 109 · see citing works
Marsh, H. W. (1993) · Journal of Educational Measurement · doi:10.1111/j.1745-3984.1993.tb01072.x · Cited by 105 · see citing works
Chronic fatigue in the community: ‘A question of attribution’
Chalder, T., Power, M., & Wessely, S. C. (1996) · Psychological Medicine · doi:10.1017/s0033291700037818 · Cited by 102 · see citing works
Self-citationMediation Analysis in Psychosomatic Medicine Research
Lockhart, G., MacKinnon, D. P., & Ohlrich, V. (2011) · Psychosomatic Medicine · doi:10.1097/psy.0b013e318200a54b · Cited by 87 · see citing works
Self-citationNo Need to be Discrete: A Method for Continuous Time Mediation Analysis
Deboeck, P. R., & Preacher, K. J. (2015) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1080/10705511.2014.973960 · Cited by 87 · see citing works
Sensitivity Analysis When Data Are Missing Not-at-random
Resseguier, N., Giorgi, R., & Paolettí, X. (2011) · Epidemiology · doi:10.1097/ede.0b013e318209dec7 · Cited by 63 · see citing works
Long-term sickness absence among patients with chronic fatigue syndrome
Knudsen, A. K., Henderson, M., Harvey, S. B., & Chalder, T. (2011) · The British Journal of Psychiatry · doi:10.1192/bjp.bp.110.082974 · Cited by 30 · see citing works
Self-citationGoldsmith, K., Chalder, T., White, P. D., Sharpe, M., & Pickles, A. R. (2016) · Statistical Methods in Medical Research · doi:10.1177/0962280216666111 · Cited by 29 · see citing works
Self-citationDunn, G., Emsley, R., Liu, H., & Landau, S. (2013) · Clinical Trials · doi:10.1177/1740774513499651 · Cited by 28 · see citing works
International Encyclopedia of the Social and Behavioural Sciences
Prakken, H. (2015) · Elsevier eBooks · Cited by 25 · see citing works
Mediation Analysis with Missing Data Through Multiple Imputation and Bootstrap
Zhang, Z. J., Wang, L., & Tong, X. (2015) · Springer proceedings in mathematics & statistics · doi:10.1007/978-3-319-19977-1_24 · Cited by 22 · see citing works
Moderation and Mediation in Interindividual Longitudinal Analysis
Krull, J. L., Cheong, J., Fritz, M. S., & MacKinnon, D. P. (2016) · Wiley eBooks · doi:10.1002/9781119125556.devpsy121 · Cited by 18 · see citing works
Self-citationUsing SEM Programs to Perform Matrix Manipulations and Data Simulation
Raykov, T., Marcoulides, G. A., & Boyd, J. (2003) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1207/s15328007sem1002_9 · Cited by 6 · see citing works
Longitudinal Mediation Analysis of Training Intervention Effects
Chow, S.-M., Ferrer, E., & Hsieh, F. (2011) · Routledge eBooks · doi:10.4324/9780203864746-22 · Cited by 6 · see citing works
Mediation analysis with missing data through multiple imputation and bootstrapPreprint
Wang, L., Zhang, Z. J., & Tong, X. (2014) · arXiv (Cornell University) · doi:10.48550/arxiv.1401.2081 · Cited by 3 · see citing works
Turk, D. C. (2013) · Elsevier eBooks · doi:10.1016/b978-0-323-08340-9.00045-1 · Cited by 2 · see citing works
Flagged first, then by citations
Research works printed but not linked: 2
- Kline RB 2011 Principles and practice of structural equation modelling New York, NY The Guildford Press
- Wright S 1920a Correlation and causation Part 1. Method of path coefficients Journal of Agricultural Research 20 0557 0585
Cited by
Sorted by citations
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Carter, A. R., Sanderson, E., Hammerton, G., Richmond, R. C., Davey Smith, G., Heron, J., Taylor, A. E., Davies, N. M., & Howe, L. D. (2021) · European Journal of Epidemiology · doi:10.1007/s10654-021-00757-1 · Cited by 1,215 · see citing works
Carruthers, S., Pickles, A. R., Slonims, V., Howlin, P., & Charman, T. (2020) · Autism Research · doi:10.1002/aur.2264 · Cited by 100 · see citing works
Self-citationArgyriou, A., Goldsmith, K., & Rimes, K. (2021) · Archives of Sexual Behavior · doi:10.1007/s10508-020-01862-0 · Cited by 78 · see citing works
Self-citationAcceptance and Commitment Therapy Processes and Mediation: Challenges and How to Address Them
Arch, J. J., Fishbein, J. N., Finkelstein, L. B., & Luoma, J. B. (2023) · Behavior Therapy · doi:10.1016/j.beth.2022.07.005 · Cited by 72 · see citing works
Intensive longitudinal mediation in Mplus.
McNeish, D., & MacKinnon, D. P. (2022) · Psychological Methods · doi:10.1037/met0000536 · Cited by 66 · see citing works
Self-citationWolf, S., Seiffer, B., Zeibig, J., Frei, A. K., Studnitz, T., Welkerling, J., Meinzinger, E., Bauer, L. L., Baur, J., Rosenstiel, S., et al. (2024) · The Lancet Psychiatry · doi:10.1016/s2215-0366(24)00069-5 · Cited by 45 · see citing works
Falkenström, F. (2024) · Clinical Psychology Review · doi:10.1016/j.cpr.2024.102435 · Cited by 39 · see citing works
Long‐term efficacy of Metacognitive Training for Depression (D‐ MCT ): A randomized controlled trial
Jelinek, L., Faissner, M., Moritz, S., & Kriston, L. (2018) · British Journal of Clinical Psychology · doi:10.1111/bjc.12213 · Cited by 39 · see citing works
Stevenson, J., Mattiske, J. K., & Nixon, R. D. V. (2019) · Behaviour Research and Therapy · doi:10.1016/j.brat.2019.103492 · Cited by 39 · see citing works
Berli, C., Inauen, J., Stadler, G., Scholz, U., & Shrout, P. E. (2020) · Annals of Behavioral Medicine · doi:10.1093/abm/kaaa066 · Cited by 37 · see citing works
Fishbein, J. N., Judd, C. M., Genung, S., Stanton, A. L., & Arch, J. J. (2022) · Behaviour Research and Therapy · doi:10.1016/j.brat.2022.104103 · Cited by 28 · see citing works
Analyzing Individual Differences in Intervention-Related Changes
Könen, T., & Karbach, J. (2021) · Advances in Methods and Practices in Psychological Science · doi:10.1177/2515245920979172 · Cited by 30 · see citing works
Juul, L., Brorsen, E., Gøtzsche, K., Nielsen, B. L., & Fjorback, L. O. (2021) · Frontiers in Psychology · doi:10.3389/fpsyg.2021.722771 · Cited by 28 · see citing works
Rijnhart, J. J. M., Twisk, J. W. R., Valente, M. J., & Heymans, M. W. (2022) · Journal of Clinical Epidemiology · doi:10.1016/j.jclinepi.2022.07.004 · Cited by 27 · see citing works
Conceptualizing and Examining Change in Communication Research
Brinberg, M., & Lydon‐Staley, D. M. (2023) · Communication Methods and Measures · doi:10.1080/19312458.2023.2167197 · Cited by 28 · see citing works
Carruthers, S., Pickles, A. R., Charman, T., McConachie, H., Couteur, A. S. L., Slonims, V., Howlin, P., Collum, R., Salomone, E., Tobin, H. R. S., et al. (2023) · Journal of Child Psychology and Psychiatry · doi:10.1111/jcpp.13798 · Cited by 25 · see citing works
Self-citationTam, C. C., Ye, Z., Wang, Y., Li, X., & Lin, D. (2021) · Psychology and Health · doi:10.1080/08870446.2021.2007913 · Cited by 21 · see citing works
Hudson, J. L., Bower, P., Kontopantelis, E., Bee, P., Archer, J., Clarke, R., Moriarty, A. S., Richards, D. A., Gilbody, S. M., Lovell, K., et al. (2019) · PLoS ONE · doi:10.1371/journal.pone.0217948 · Cited by 21 · see citing works
Meeting abstracts from the 5th International Clinical Trials Methodology Conference (ICTMC 2019)
Parker, A., Mills, N., Rooshenas, L., Jepson, M., Donovan, J., Arundel, C., Tharmanathan, P., Coleman, E., Hewitt, C., Sarathy, P. P., et al. (2019) · Trials · doi:10.1186/s13063-019-3688-6 · Cited by 21 · see citing works
Beevers, C. G., Hsu, K. J., Schnyer, D. M., Smits, J. A. J., & Shumake, J. (2021) · Journal of Consulting and Clinical Psychology · doi:10.1037/ccp0000683 · Cited by 20 · see citing works
lcsm: An R package and tutorial on latent change score modelling
Wiedemann, M., Thew, G. R., Košir, U., & Ehlers, A. (2022) · Wellcome Open Research · doi:10.12688/wellcomeopenres.17536.1 · Cited by 19 · see citing works
van Tilburg, M. A. L., Levy, R. L., Stoner, S. A., Romano, J. M., Murphy, T., Abdullah, B., Mancl, L., & Feld, A. D. (2021) · Journal of Psychosomatic Research · doi:10.1016/j.jpsychores.2021.110618 · Cited by 17 · see citing works
Argyriou, A., Goldsmith, K., Tsokos, A., & Rimes, K. A. (2020) · Psychology of Sexual Orientation and Gender Diversity · doi:10.1037/sgd0000369 · Cited by 17 · see citing works
Self-citationScafuto, F., Quinto, R. M., Ghiroldi, S., Montecucco, N. F., Presaghi, F., Iani, L., & De Vincenzo, F. (2024) · Current Psychology · doi:10.1007/s12144-024-06081-7 · Cited by 16 · see citing works
Fu, Z., Burger, H., Arjadi, R., Nauta, M. H., & Bockting, C. L. H. (2021) · Clinical Psychology in Europe · doi:10.32872/cpe.5467 · Cited by 16 · see citing works
Usami, S. (2022) · Psychometrika · doi:10.1007/s11336-022-09879-1 · Cited by 22 · see citing works
Wolf, S., Seiffer, B., Zeibig, J., Welkerling, J., Bauer, L. L., Frei, A. K., Studnitz, T., Rosenstiel, S., Fiedler, D. V., Helmhold, F., et al. (2021) · BMC Psychiatry · doi:10.1186/s12888-021-03541-3 · Cited by 15 · see citing works
Loncarevic, A., Maybery, M. T., Barbaro, J., Dissanayake, C., Green, J., Hudry, K., Iacono, T. A., Slonims, V., Varcin, K. J., Wan, M. W., et al. (2023) · Journal of Autism and Developmental Disorders · doi:10.1007/s10803-023-05914-x · Cited by 17 · see citing works
Doorley, J. D., Greenberg, J., Stauder, M. J., & Vranceanu, A. (2021) · Mindfulness · doi:10.1007/s12671-021-01729-y · Cited by 15 · see citing works
Zhang, Y., Cook, C. R., & Lyon, A. R. (2021) · School Mental Health · doi:10.1007/s12310-021-09412-2 · Cited by 14 · see citing works
Dynamic change meets mechanisms of change: Examining mediators in the latent change score framework
Hilley, C. D., & O’Rourke, H. P. (2022) · International Journal of Behavioral Development · doi:10.1177/01650254211064352 · Cited by 13 · see citing works
Isaacs-Trepanier, C., Saleem, M., Herrmann, N., Swardfager, W., OH, P. I., Goldstein, B. I., Mitchell, J., Sugamori, K. S., & Lanctôt, K. L. (2020) · Journal of Alzheimer s Disease · doi:10.3233/jad-200058 · Cited by 12 · see citing works
Greenberg, J., Mace, R. A., Bannon, S. M., Kulich, R. J., & Vranceanu, A.-M. (2021) · Journal of Pain Research · doi:10.2147/jpr.s298212 · Cited by 12 · see citing works
Löchner, J., Platt, B., Starman‐Wöhrle, K., Takano, K., Engelmann, L., Voggt, A., Loy, F., Bley, M., Winogradow, D., Hämmerle, S., et al. (2023) · BMC Psychiatry · doi:10.1186/s12888-023-04926-2 · Cited by 12 · see citing works
Donovan, C., Shiels, A. L., Legg, M., Meltzer, L., Farrell, L. J., Waters, A., & Gradisar, M. (2023) · Behaviour Research and Therapy · doi:10.1016/j.brat.2023.104366 · Cited by 12 · see citing works
Tseng, H., Lee, C., Wu, C., Wu, I., Chang, H., Hsu, C., & Hsiung, C. A. (2024) · Quality of Life Research · doi:10.1007/s11136-023-03581-0 · Cited by 12 · see citing works
Tinch‐Taylor, R., Pickles, A. R., Stringer, D., Csipke, E., Cella, M., McCrone, P., Reeder, C., Birchwood, M. J., Fowler, D. G., Greenwood, K., et al. (2024) · Schizophrenia Bulletin · doi:10.1093/schbul/sbae021 · Cited by 12 · see citing works
Self-citationSkovbjerg, S., Sumbundu, A. D., Kolls, M., Kjærbye‐Thygesen, A., & Fjorback, L. O. (2023) · BMC Complementary Medicine and Therapies · doi:10.1186/s12906-023-04194-3 · Cited by 13 · see citing works
In search of convergent creativity: content analysis of research on intellectual humility
Davis, D. E., Bowes, S. M., McLaughlin, A. T., Hsu, W., Gazaway, S., McElroy‐Heltzel, S. E., Tongeren, D. R. V., & Hook, J. N. (2022) · The Journal of Positive Psychology · doi:10.1080/17439760.2022.2154706 · Cited by 10 · see citing works
Ji, L., Li, Y., Potter, L. N., Lam, C. Y., Nahum-Shani, I. B., Wetter, D. W., & Chow, S. (2023) · Frontiers in Digital Health · doi:10.3389/fdgth.2023.1099517 · Cited by 11 · see citing works
Bringas-Vega, M. L., Ibáñez, I. P., Razzaq, F. A., Zhang, M., Chacón, L. M. M., Ren, P., García, L. G., Gan, P., Alba, T. V., Lopez-Naranjo, C., et al. (2022) · Frontiers in Neuroscience · doi:10.3389/fnins.2022.841428 · Cited by 11 · see citing works
Is it bad because it is boring? Effects of idle time on employee outcomes
Zeschke, M., & Zacher, H. (2023) · European Journal of Work and Organizational Psychology · doi:10.1080/1359432x.2023.2261661 · Cited by 10 · see citing works
Harvey, A. G., Agnew, E. R., Hache, R. E., Spencer, J. M., Diaz, M., Patino, E. O., Milner, A., Dong, L., Kilbourne, A. M., Buysse, D. J., et al. (2025) · Implementation Science · doi:10.1186/s13012-025-01440-9 · Cited by 10 · see citing works
Early evaluation of a DBT-informed online intervention for people with eating disorders
Vuillier, L., Greville-Harris, M., Talbot, C. V., May, L., & Moseley, R. L. (2024) · Journal of Eating Disorders · doi:10.1186/s40337-024-00974-5 · Cited by 9 · see citing works
Commentary: Mediation and Moderation: An Historical Progress Report
Holmbeck, G. N. (2019) · Journal of Pediatric Psychology · doi:10.1093/jpepsy/jsz034 · Cited by 9 · see citing works
Liu, X., Zhang, Z. J., Valentino, K., & Wang, L. (2023) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1080/10705511.2023.2189551 · Cited by 8 · see citing works
Carruthers, S., Charman, T., Leadbitter, K., Ellis, C., Taylor, L. J., Moore, H. L., Taylor, C., James, K., Balabanovska, M., Langhorne, S., et al. (2024) · Journal of Autism and Developmental Disorders · doi:10.1007/s10803-024-06370-x · Cited by 8 · see citing works
Self-citationBirnbaum, G. E., Kanat‐Maymon, Y., Zholtack, K., Avidan, R., & Reis, H. T. (2024) · Archives of Sexual Behavior · doi:10.1007/s10508-024-02997-0 · Cited by 8 · see citing works
Hansen, N. H., Fjorback, L. O., Frydenberg, M., & Juul, L. (2021) · Frontiers in Psychiatry · doi:10.3389/fpsyt.2021.761806 · Cited by 7 · see citing works
Frydendal, D. H., Rask, C. U., Jensen, J. S., Wellnitz, K. B., & Frostholm, L. (2023) · Journal of Contextual Behavioral Science · doi:10.1016/j.jcbs.2023.03.011 · Cited by 6 · see citing works
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Liu, X., & Wang, L. (2024) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1080/10705511.2024.2347588 · Cited by 6 · see citing works
Ye, Z., Zeng, C., Yang, X., Tam, C. C., Wang, Y., Qiao, S., Li, X., & Lin, D. (2022) · Journal of Pacific Rim Psychology · doi:10.1177/18344909221119830 · Cited by 6 · see citing works
Juul, L., Bonde, E. H., & Fjorback, L. O. (2023) · Frontiers in Psychology · doi:10.3389/fpsyg.2023.1154277 · Cited by 6 · see citing works
Subgroup Analysis: “What Works Best for Whom and Why?”
Keller, F. (2019) · Advances in prevention science · doi:10.1007/978-3-030-00627-3_16 · Cited by 6 · see citing works
Swain, D. M., Han, J. E., Brown, H. R., Lord, C., Rogers, S. J., Estes, A. M., Kasari, C. L., Pickles, A. R., & Kim, S. H. (2025) · Autism · doi:10.1177/13623613251328463 · Cited by 5 · see citing works
Self-citationPedersen, H. F., Lamm, T. T., Fink, P., Ørnbøl, E., & Frostholm, L. (2023) · Contemporary Clinical Trials Communications · doi:10.1016/j.conctc.2023.101069 · Cited by 4 · see citing works
Harvey, A. G., Agnew, E. R., Hache, R. E., Callaway, C. A., Patino, E. O., Milner, A., Spencer, J. M., Diaz, M., Dong, L., Kilbourne, A. M., et al. (2025) · Implementation Science · doi:10.1186/s13012-025-01467-y · Cited by 4 · see citing works
The Effectiveness of Compassionate Mind Training (CMT) for Undergraduate Students
Póka, T., & Barta, A. (2024) · Journal of Evidence-Based Psychotherapies · doi:10.24193/jebp.2024.2.12 · Cited by 4 · see citing works
Berardi, V., Phillips, C. B., McEntee, M. L., Stecher, C. D., Todd, M. W., & Adams, M. A. (2024) · Annals of Behavioral Medicine · doi:10.1093/abm/kaae009 · Cited by 3 · see citing works
Brodbeck, J., Jacinto, S., Stallmann, L., Vetsch, N., Marmet, S., & Neufeld, S. (2025) · International Journal of Clinical and Health Psychology · doi:10.1016/j.ijchp.2025.100654 · Cited by 4 · see citing works
De, E. F., Salmi, L. P., Garofalo, C., Mazzeschi, C., Brugnera, A., Donisi, V., Salerno, L., Giordano, C., Tona, A. L., Poli, S., et al. (2026) · Journal of Affective Disorders · doi:10.1016/j.jad.2026.121622 · Cited by 3 · see citing works
Arai, H., Ishikawa, S., Okawa, S., Kishida, K., Korte, K. J., & Schmidt, N. B. (2022) · Current Psychology · doi:10.1007/s12144-022-02981-8 · Cited by 3 · see citing works
Using SymPy (Symbolic Python) for Understanding Structural Equation Modeling
Steele, J. S., & Grimm, K. J. (2024) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1080/10705511.2024.2325122 · Cited by 3 · see citing works
Causal Inference: Efficacy and Mechanism Evaluation
Landau, S., & Emsley, R. (2020) · Springer eBooks · doi:10.1007/978-3-319-52677-5_137-1 · Cited by 3 · see citing works
Discernment of mediator and outcome measurement in the PACE trial
Carr, E., Vitoratou, S., Chalder, T., & Goldsmith, K. (2021) · Journal of Psychosomatic Research · doi:10.1016/j.jpsychores.2021.110595 · Cited by 3 · see citing works
Self-citationGoldsmith, K., Hudson, J. L., Chalder, T., Dennison, L., & Moss-Morris, R. (2020) · Behaviour Research and Therapy · doi:10.1016/j.brat.2020.103594 · Cited by 2 · see citing works
Self-citationGraboyes, E. M., Maurer, S. N., Kistner‐Griffin, E., Armeson, K. E., Starr, E., McLeod, T., Balliet, W. E., Doenges, J., Slavin-Spenny, O., Vanderlan, J. R., et al. (2025) · Contemporary Clinical Trials · doi:10.1016/j.cct.2025.107888 · Cited by 2 · see citing works
Miller, J., Donnelly, C. A., McClintock, C., Varette, K., Camargo, Y., Marsh, J. D., Taljaard, M., Mamun, M. S. A., Bacchus, G., Barber, D., et al. (2026) · JMIR Research Protocols · doi:10.2196/89004 · Cited by 2 · see citing works
Burger, J., Wang, K., Hollinsaid, N. L., Safren, S. A., & Pachankis, J. E. (2026) · Behaviour Research and Therapy · doi:10.1016/j.brat.2026.104966 · Cited by 2 · see citing works
Jitanugoon, S., & Puntha, P. (2026) · Journal of engineering and technology management · doi:10.1016/j.jengtecman.2026.101996 · Cited by 2 · see citing works
Frydenberg, M., Maindal, H. T., Fletcher, A., & Juul, L. (2022) · BMC Public Health · doi:10.1186/s12889-022-12864-z · Cited by 2 · see citing works
Nguyen, M. X., Reyes, H. L. M., Pence, B. W., Muessig, K. E., Hutton, H. E., Latkin, C. A., Dowdy, D. W., Chander, G., Lancaster, K. E., Frangakis, C., et al. (2023) · AIDS Care · doi:10.1080/09540121.2023.2183378 · Cited by 2 · see citing works
Causal definitions versus casual estimation: Reply to Valente et al. (2022).
Brandt, H. (2024) · Psychological Methods · doi:10.1037/met0000544 · Cited by 2 · see citing works
Fadrigon, B. H., Tseng, A., Weisenburger, R. L., Levihn‐Coon, A., McNamara, M. E., Shumake, J., Smits, J. A. J., Dennis‐Tiwary, T. A., & Beevers, C. G. (2024) · Contemporary Clinical Trials · doi:10.1016/j.cct.2024.107797 · Cited by 3 · see citing works
Tseng, H., Lee, C., Wu, C., Wu, I., Chang, H., Hsu, C., & Hsiung, C. A. (2023) · Research Square · doi:10.21203/rs.3.rs-2618842/v1 · Cited by 2 · see citing works
Temporal Associations Between Depression and Hostility in the Context of a Divorce Intervention
Øverup, C. S., Ciprić, A., Strizzi, J. M., Sander, S., & Hald, G. M. (2022) · Psychological Reports · doi:10.1177/00332941211070212 · Cited by 1 · see citing works
Conceptualizing and Examining Dynamics in Communication ResearchPreprint
Brinberg, M., & Lydon‐Staley, D. M. (2022) · doi:10.33767/osf.io/v2fq4 · Cited by 1 · see citing works
Causal Inference: Efficacy and Mechanism Evaluation
Landau, S., & Emsley, R. (2022) · Springer eBooks · doi:10.1007/978-3-319-52636-2_137
Donovan, C. L., Shiels, A. L., Legg, M., Meltzer, L. J., Farrell, L. J., Waters, A. M., & Gradisar, M. (2022) · doi:10.31219/osf.io/h52mg
Examining Consistency in Intervention Response With Multiple-Groups Latent Curve Models: A TutorialPreprint
Fishbein, J. N., & Arch, J. J. (2022) · doi:10.31234/osf.io/s4bwd
How should we model the effect of "change" - or should we?Preprint
McCormick, E. M., & Bauer, D. J. (2023) · doi:10.31234/osf.io/pbhmq
Chen, R. (2025) · Education and Information Technologies · doi:10.1007/s10639-025-13701-7 · Cited by 2 · see citing works
Lim, M., Pollmann‐Schult, M., & Li, J. (2025) · Journal of Family Issues · doi:10.1177/0192513x251389214
A Guide to Specifying Effects in Latent Change Score Models with Moderated Mediation
O’Rourke, H. P., & Hilley, C. D. (2025) · Journal of Behavioral Data Science · doi:10.35566/jbds/orourke
Löchner, J., Platt, B., Starman‐Wöhrle, K., Takano, K., Engelmann, L., Voggt, A., Loy, F., Bley, M., Winogradow, D., Hämmerle, S., et al. (2024) · Figshare · doi:10.6084/m9.figshare.26598785
Wolf, S., Seiffer, B., Zeibig, J.-M., Welkerling, J., Bauer, L. L., Frei, A. K., Studnitz, T., Rosenstiel, S., Fiedler, D. V., Helmhold, F., et al. (2021) · Figshare · doi:10.6084/m9.figshare.16909996
Lebovitz, J. G., Kittleson, A. R., Sloan, A. F., Torregrossa, L. J., Park, S., & Sheffield, J. M. (2026) · Psychiatry Research · doi:10.1016/j.psychres.2026.117174
Wu, C., Wei, H., & He, A. (2026) · Child Indicators Research · doi:10.1007/s12187-026-10401-7
Pietruch, M., Kowalski, J., Browarczyk, W. M., Michałowski, J. M., & Wypych, M. (2026) · Behaviour Research and Therapy · doi:10.1016/j.brat.2026.105106
Jutzi, F. K., Witthöft, M., Baumeister, H., Denninger, M., Rief, W., Bleichhardt, G. M., Bailer, J., Kirsch, P., Erkic, M., Mier, D. U., et al. (2026) · Trials · doi:10.1186/s13063-026-09886-y
Hartmann, S. F., Borm, I., Barnow, S., Timm, C., & Pruessner, L. (2026) · Behaviour Research and Therapy · doi:10.1016/j.brat.2026.105121
Shang, Y. (2026) · Frontiers in Public Health · doi:10.3389/fpubh.2026.1945573
Multimodal AI avatars in L2 speaking: A time-lagged mediation analysis
Luan, J., Halim, H. B. A., & Saad, M. R. M. (2026) · System · doi:10.1016/j.system.2026.104163
Chiozza, V., Xie, M., Alves, S., Grilli, S., Presaghi, F., Perucchini, P., & Bonaiuto, M. (2026) · Frontiers in Psychiatry · doi:10.3389/fpsyt.2026.1913900
Lübbe, D. (2026) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1080/10705511.2026.2737311
Fostering contact intentions through imagined contact: A theory of planned behaviour approach
Vrdoljak, A., Jelić, M., Čorkalo, D., Božanić, N., Fasel, R., & Butera, F. (2026) · Journal of School Psychology · doi:10.1016/j.jsp.2026.101588
- Authors
- Goldsmith, K. A., MacKinnon, D. P., Chalder, T., White, P. D., Sharpe, M., & Pickles, A.
- Affiliations
- King's College London (GB)
- Arizona State University (US)
- Queen Mary University of London (GB)
- University of Oxford (GB)
- ORCID
- Venue
- Psychological Methods
- Published
- 2018-06
- Volume
- 23
- Issue
- 2
- Pages
- 191-207
- ISSN
- 1082-989X (ISSN-L)
- 1939-1463
- PMC
- PMC5975099
- OpenAlex
- W2613335938
- Cited by
- 99
- References
- 88
- Citations by year
- 2026: 14 · 2025: 9 · 2024: 15 · 2023: 17 · 2022: 17 · 2021: 15 · 2020: 6 · 2019: 5 · 2018: 1
- FWCI
- 2.28
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Psychological Methods (publishedVersion, other-oa)
- PubMed (publishedVersion)
- Europe PMC (PubMed Central) (acceptedVersion)
- PubMed Central (acceptedVersion)
- Research Portal (King's College London) (submittedVersion, other-oa)
- Funders
- Medical Research Council
- Department for Health for England
- The Scottish Chief Scientist Office
- Department for Work and Pensions
- National Institute for Health Research (DRF-2011-04-061)
- King’s College London
- National Institute on Drug Abuse (DA09757)
- 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
- mediation analysis, clinical trials, repeated measures, latent growth curve models, latent change score models, sensitivity analysis, measurement error, unmeasured confounding, chronic fatigue syndrome, PACE trial
- MeSH terms
- Clinical Trials as Topic, Humans, Research Design, Models, Statistical, Fatigue Syndrome, Chronic, Outcome Assessment, Health Care
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