Academic Journal
Planned missingness in intensive longitudinal studies: Extensions and comparisons of multiform designs.
| Τίτλος: | Planned missingness in intensive longitudinal studies: Extensions and comparisons of multiform designs. |
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| Συγγραφείς: | Chen Y; Beijing Key Laboratory of Applied Experimental Psychology, National Demonstration Center for Experimental Psychology Education, Faculty of Psychology, Beijing Normal University, No. 19 Xin Jie Kou Wai Street, Hai Dian District, Beijing, 100875, China. yilanchen@mail.bnu.edu.cn., Liu H; Beijing Key Laboratory of Applied Experimental Psychology, National Demonstration Center for Experimental Psychology Education, Faculty of Psychology, Beijing Normal University, No. 19 Xin Jie Kou Wai Street, Hai Dian District, Beijing, 100875, China. hyliu@bnu.edu.cn.; Research Center for Capacity Building in Educational Assessment and Evaluation (Beijing Higher Education Innovation Center for Philosophy and Social Sciences), Beijing, China. hyliu@bnu.edu.cn. |
| Πηγή: | Behavior research methods [Behav Res Methods] 2026 Jul 01; Vol. 58 (8). Date of Electronic Publication: 2026 Jul 01. |
| Τύπος έκδοσης: | Journal Article |
| Γλώσσα: | English |
| Στοιχεία περιοδικού: | Publisher: Springer Country of Publication: United States NLM ID: 101244316 Publication Model: Electronic Cited Medium: Internet ISSN: 1554-3528 (Electronic) Linking ISSN: 1554351X NLM ISO Abbreviation: Behav Res Methods Subsets: MEDLINE |
| Imprint Name(s): | Publication: 2010- : New York : Springer Original Publication: Austin, Tex. : Psychonomic Society, c2005- |
| Ιατρικοί όροι (MeSH): | Data Collection*/methods , Research Design* , Models, Statistical*, Humans ; Longitudinal Studies ; Data Interpretation, Statistical ; Computer Simulation ; Sample Size |
| Περίληψη: | Technological advances in data collection have made intensive longitudinal studies (ILSs) increasingly feasible. However, conducting such studies often leads to increased participant burden due to the high frequency of measurements, resulting in nonresponse and a consequent reduction in data quantity and quality. Previous studies have shown that planned missingness designs can help optimize data collection. In this paper, we extend two multiform designs commonly used in planned missingness research and propose a flexible alternative involving completely random sampling. These designs are better tailored to ILSs by varying item subset combinations across measurement occasions for each participant. Specifically, we examined (1) the anchor test design, where a core subset is administered to all participants across all occasions; (2) the matrix sampling design, where subset combinations rotate systematically; and (3) the random sampling design, where subset combinations are randomly assigned at each occasion. We conducted two simulation studies to evaluate the performance of these designs within the dynamic structural equation modeling (DSEM) framework across varying key model parameters, sample sizes, numbers of time points, and planned missingness proportions. An empirical example is also provided to demonstrate the potential of multiform designs in ILSs. Results indicate that these multiform designs can yield unbiased parameter point estimates with acceptable credible interval coverage rates, while maintaining sufficient statistical power. Therefore, the extended and proposed multiform designs enable researchers to reduce both the costs and participant burden while still obtaining adequate data to capture characteristics in the dynamic process. (© 2026. The Psychonomic Society, Inc.) |
| Competing Interests: | Declarations. Ethics approval: Not applicable. Consent to participate: Not applicable. Consent for publication: All authors approve the final version of the article. Conflict of interest: There are no conflicts of interest to disclose. |
| References: | Arslan, R. C., Reitz, A. K., Driebe, J. C., Gerlach, T. M., & Penke, L. (2021). Routinely randomize potential sources of measurement reactivity to estimate and adjust for biases in subjective reports. Psychological Methods, 26(2), 175–185. https://doi.org/10.1037/met0000294. (PMID: 10.1037/met000029432584065) Asparouhov, T., Hamaker, E. L., & Muthén, B. (2018). Dynamic structural equation models. Structural Equation Modeling: A Multidisciplinary Journal, 25(3), 359–388. https://doi.org/10.1080/10705511.2017.1406803. (PMID: 10.1080/10705511.2017.1406803) Bradley, J. V. (1978). Robustness? British Journal of Mathematical and Statistical Psychology, 31(2), 144–152. https://doi.org/10.1111/j.2044-8317.1978.tb00581.x. (PMID: 10.1111/j.2044-8317.1978.tb00581.x) Brandmaier, A. M., Ghisletta, P., & Oertzen, Tv. (2020). Optimal planned missing data design for linear latent growth curve models. Behavior Research Methods, 52(4), 1445–1458. https://doi.org/10.3758/s13428-019-01325-y. (PMID: 10.3758/s13428-019-01325-y319894567406489) Eisele, G., Vachon, H., Lafit, G., Kuppens, P., Houben, M., Myin-Germeys, I., & Viechtbauer, W. (2022). The effects of sampling frequency and questionnaire length on perceived burden, compliance, and careless responding in experience sampling data in a student population. Assessment, 29(2), 136–151. https://doi.org/10.1177/1073191120957102. (PMID: 10.1177/107319112095710232909448) Enders, C. K. (2025). Missing data: An update on the state of the art. Psychological Methods, 30(2), 322–339. https://doi.org/10.1037/met0000563. (PMID: 10.1037/met000056336931827) Flora, D. B., & Curran, P. J. (2004). An empirical evaluation of alternative methods of estimation for confirmatory factor analysis with ordinal data. Psychological Methods, 9(4), 466–491. https://doi.org/10.1037/1082-989X.9.4.466. (PMID: 10.1037/1082-989X.9.4.466155981003153362) Forthmann, B., Goecke, B., & Beaty, R. E. (2023). Planning missing data designs for human ratings in creativity research: A practical guide. Creativity Research Journal, 1-12. https://doi.org/10.1080/10400419.2023.2250976. Graham, J. W., Taylor, B. J., Olchowski, A. E., & Cumsille, P. E. (2006). Planned missing data designs in psychological research. Psychological Methods, 11(4), 323. https://doi.org/10.1037/1082-989X.11.4.323. (PMID: 10.1037/1082-989X.11.4.32317154750) Hallquist, M. N., & Wiley, J. F. (2018). MplusAutomation: An R package for facilitating large-scale latent variable analyses in Mplus. Structural Equation Modeling: A Multidisciplinary Journal, 25(4), 621–638. https://doi.org/10.1080/10705511.2017.1402334. (PMID: 10.1080/10705511.2017.1402334300830486075832) Hamaker, E. L., & Wichers, M. (2017). No time like the present: Discovering the hidden dynamics in intensive longitudinal data. Current Directions in Psychological Science, 26(1), 10–15. https://doi.org/10.1177/0963721416666518. (PMID: 10.1177/0963721416666518) Hasselhorn, K., Ottenstein, C., & Lischetzke, T. (2022). The effects of assessment intensity on participant burden, compliance, within-person variance, and within-person relationships in ambulatory assessment. Behavior Research Methods, 54(4), 1541–1558. https://doi.org/10.3758/s13428-021-01683-6. (PMID: 10.3758/s13428-021-01683-634505997) Kalman, R. E. (1960). A new approach to linear filtering and prediction problems. Journal of Basic Engineering, 82(1), 35–45. https://doi.org/10.1115/1.3662552. (PMID: 10.1115/1.3662552) Ji, L., Chen, M., Oravecz, Z., Cummings, E. M., Lu, Z.-H., & Chow, S.-M. (2020). A Bayesian vector autoregressive model with nonignorable missingness in dependent variables and covariates: Development, evaluation, and application to family processes. Structural Equation Modeling: A Multidisciplinary Journal, 27(3), 442–467. https://doi.org/10.1080/10705511.2019.1623681. (PMID: 10.1080/10705511.2019.1623681326015177323924) Ji, L., Chow, S.-M., Schermerhorn, A. C., Jacobson, N. C., & Cummings, E. M. (2018). Handling missing data in the modeling of intensive longitudinal data. Structural Equation Modeling: A Multidisciplinary Journal, 25(5), 715–736. https://doi.org/10.1080/10705511.2017.1417046. (PMID: 10.1080/10705511.2017.1417046313037456625802) Lawes, M., & Eid, M. (2023). Factor score estimation in multimethod measurement designs with planned missing data. Psychological Methods, 28(6), 1321–1334. https://doi.org/10.1037/met0000483. (PMID: 10.1037/met000048335420852) Levy, R., & Mislevy, R. J. (2016). Bayesian psychometric modeling. Chapman & Hall/CRC. Li, Y., Wood, J., Ji, L., Chow, S.-M., & Oravecz, Z. (2022). Fitting multilevel vector autoregressive models in Stan, JAGS, and Mplus. Structural Equation Modeling: A Multidisciplinary Journal, 29(3), 452–475. https://doi.org/10.1080/10705511.2021.1911657. (PMID: 10.1080/10705511.2021.191165735601030) Little, T., & Rhemtulla, M. (2013). Planned Missing Data Designs for Developmental Researchers. Child Development Perspectives, 7. https://doi.org/10.1111/cdep.12043. Little, T., Rhemtulla, M., Jia, F., & Wu, W. (2014). Planned missing designs to optimize the efficiency of latent growth parameter estimates. International Journal of Behavioral Development. https://doi.org/10.1177/0165025413514324. (PMID: 10.1177/0165025413514324) Liu, Y., Luo, X., & Liu, H. (2026). Planned Measurement-Missing Designs in Intensive Longitudinal Studies: How Well Do They Recover Power and Parameter Estimates? Structural Equation Modeling: A Multidisciplinary Journal, 1–11. https://doi.org/10.1080/10705511.2026.2625171. Losardo, D., Chow, S.-M., Panter, A. T., Burkley, M., & Burkley, E. (2024). Ecological Momentary Assessment (EMA) Designs with Planned Missingness. In M. Stemmler, W. Wiedermann, & F. L. Huang (Eds.), Dependent Data in Social Sciences Research: Forms, Issues, and Methods of Analysis (pp. 657-698). Springer International Publishing. https://doi.org/10.1007/978-3-031-56318-8_26. Martínez-Huertas, J. Á., Estrada, E., & Olmos, R. (2024). Estimation of planned and unplanned missing individual scores in longitudinal designs using continuous-time state-space models. Psychological Methods. https://doi.org/10.1037/met0000664. (PMID: 10.1037/met000066438753382) Mestdagh, M., Verdonck, S., Piot, M., Niemeijer, K., Kilani, G., Tuerlinckx, F., Kuppens, P., & Dejonckheere, E. (2023). m-Path: an easy-to-use and highly tailorable platform for ecological momentary assessment and intervention in behavioral research and clinical practice. Frontiers in digital health, 5. https://doi.org/10.3389/fdgth.2023.1182175. McNeish, D. (2019). Two-level dynamic structural equation models with small samples. Structural Equation Modeling: A Multidisciplinary Journal, 26(6), 948–966. https://doi.org/10.1080/10705511.2019.1578657. (PMID: 10.1080/10705511.2019.1578657328636997451754) McNeish, D., & MacKinnon, D. P. (2022). Intensive longitudinal mediation in Mplus. Psychological Methods. https://doi.org/10.1037/met0000536. (PMID: 10.1037/met000053636548080) McNeish, D., Mackinnon, D. P., Marsch, L. A., & Poldrack, R. A. (2021). Measurement in intensive longitudinal data. Structural Equation Modeling: A Multidisciplinary Journal, 28(5), 807–822. https://doi.org/10.1080/10705511.2021.1915788. (PMID: 10.1080/10705511.2021.1915788347375288562472) McNeish, D., Somers, J. A., & Savord, A. (2024). Dynamic structural equation models with binary and ordinal outcomes in Mplus. Behavior Research Methods, 56(3), 1506–1532. https://doi.org/10.3758/s13428-023-02107-3. (PMID: 10.3758/s13428-023-02107-337118647) Muthén, L. K., & Muthén, B. (1998-2023). Mplus [Computer program]. Los Angeles, CA: Muthén & Muthén. Muthén, L. K., & Muthén, B. O. (2002). How to use a Monte Carlo study to decide on sample size and determine power. Structural Equation Modeling: A Multidisciplinary Journal, 9(4), 599–620. https://doi.org/10.1207/s15328007sem0904_8. (PMID: 10.1207/s15328007sem0904_8) Orth, U., Meier, L. L., Bühler, J. L., Dapp, L. C., Krauss, S., Messerli, D., & Robins, R. W. (2024). Effect size guidelines for cross-lagged effects. Psychological Methods, 29(2), 421–433. https://doi.org/10.1037/met0000499. (PMID: 10.1037/met000049935737548) Schmiedek, F., Lövdén, M., & Lindenberger, U. (2009). On the relation of mean reaction time and intraindividual reaction time variability. Psychology and Aging, 24(4), 841–857. https://doi.org/10.1037/a0017799. (PMID: 10.1037/a001779920025400) Schultzberg, M., & Muthén, B. (2018). Number of subjects and time points needed for multilevel time-series analysis: A simulation study of dynamic structural equation modeling. Structural Equation Modeling: A Multidisciplinary Journal, 25(4), 495–515. https://doi.org/10.1080/10705511.2017.1392862. (PMID: 10.1080/10705511.2017.1392862) Silvia, P. J., Kwapil, T. R., Walsh, M. A., & Myin-Germeys, I. (2014). Planned missing-data designs in experience-sampling research: Monte Carlo simulations of efficient designs for assessing within-person constructs. Behavior Research Methods, 46, 41–54. https://doi.org/10.3758/s13428-013-0353-y. (PMID: 10.3758/s13428-013-0353-y237091673781177) Sizemore, K. M., Gray, S., Wolfer, C., Forbes, N., Talan, A. J., Millar, B. M., Park, H. H., Saslow, L., Moskowitz, J. T., & Rendina, H. J. (2022). A proof of concept pilot examining feasibility and acceptability of the positively healthy just-in-time adaptive, ecological momentary, intervention among a sample of sexual minority men living with HIV. Journal of Happiness Studies, 23(8), 4091–4118. https://doi.org/10.1007/s10902-022-00587-2. (PMID: 10.1007/s10902-022-00587-2) Vicente, P. C. R. (2023). Evaluating the effect of planned missing designs in structural equation model fit measures. Psych, 5(3), 983–995. https://doi.org/10.3390/psych5030064. (PMID: 10.3390/psych5030064) Watson, D., Clark, L. A., & Tellegen, A. (1988). Development and validation of brief measures of positive and negative affect: The PANAS scales. Journal of Personality and Social Psychology, 54(6), 1063–1070. https://doi.org/10.1037/0022-3514.54.6.1063. (PMID: 10.1037/0022-3514.54.6.10633397865) Wu, W., Jia, F., Rhemtulla, M., & Little, T. D. (2016). Search for efficient complete and planned missing data designs for analysis of change. Behavior Research Methods, 48(3), 1047–1061. https://doi.org/10.3758/s13428-015-0629-5. (PMID: 10.3758/s13428-015-0629-526170055) Xiao, Y., Wang, P., & Liu, H. (2023). Assessing intra-and inter-individual reliabilities in intensive longitudinal studies: A two-level random dynamic model-based approach. Psychological Methods. https://doi.org/10.1037/met0000608. (PMID: 10.1037/met000060837561489) Xu, M., & Logan, J. A. R. (2021). Treatment effects in longitudinal two-method measurement planned missingness designs: An application and tutorial. Journal of Research on Educational Effectiveness, 14(2), 501–522. https://doi.org/10.1080/19345747.2021.1875528. (PMID: 10.1080/19345747.2021.1875528) Xu, M., & Logan, J. A. R. (2024). Two-method measurement planned missing data with purposefully selected samples. Educational and Psychological Measurement. https://doi.org/10.1177/00131644231222603. (PMID: 10.1177/001316442312226033949380111529668) |
| Grant Information: | 32471145 National Natural Science Foundation of China |
| Contributed Indexing: | Keywords: Dynamic structural equation model; Intensive longitudinal data; Multiform design; Planned missingness design |
| Entry Date(s): | Date Created: 20260702 Date Completed: 20260702 Latest Revision: 20260729 |
| Update Code: | 20260729 |
| DOI: | 10.3758/s13428-026-03035-8 |
| PMID: | 42390678 |
| Βάση Δεδομένων: | MEDLINE |
| ISSN: | 1554-3528 |
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| DOI: | 10.3758/s13428-026-03035-8 |