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Multilevel and Longitudinal Modeling with IBM SPSS
Abstract
This book demonstrates how to use multilevel and longitudinal modeling techniques available in the IBM SPSS mixed-effects program (MIXED). Annotated screen shots provide readers with a step-by-step understanding of each technique and navigating the program. Readers learn how to set up, run, and interpret a variety of models. Diagnostic tools, data management issues, and related graphics are introduced throughout. Annotated syntax is also available for those who prefer this approach. Extended examples illustrate the logic of model development to show readers the rationale of the research questions and the steps around which the analyses are structured. The data used in the text and syntax examples are available at www.routledge.com/9780415817110. Highlights of the new edition include: Updated throughout to reflect IBM SPSS Version 21. Further coverage of growth trajectories, coding time-related variables, covariance structures, individual change and longitudinal experimental designs (Ch.5). Extended discussion of other types of research designs for examining change (e.g., regression discontinuity, quasi-experimental) over time (Ch.6). New examples specifying multiple latent constructs and parallel growth processes (Ch. 7). Discussion of alternatives for dealing with missing data and the use of sample weights within multilevel data structures (Ch.1). The book opens with the conceptual and methodological issues associated with multilevel and longitudinal modeling, followed by a discussion of SPSS data management techniques which facilitate working with multilevel, longitudinal, and cross-classified data sets. Chapters 3 and 4 introduce the basics of multilevel modeling: developing a multilevel model, interpreting output, and trouble-shooting common programming and modeling problems. Models for investigating individual and organizational change are presented in chapters 5 and 6, followed by models with multivariate outcomes in chapter 7. Chapter 8 provides an illustration of multilevel models with cross-classified data structures. The book concludes with ways to expand on the various multilevel and longitudinal modeling techniques and issues when conducting multilevel analyses. It's ideal for courses on multilevel and longitudinal modeling, multivariate statistics, and research design taught in education, psychology, business, and sociology.
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“Missing data were handled with a full information maximum likelihood (FIML) method (Heck et al., 2013).”
From Mindfulness-Based Stress Reduction Increases Mental Wellbeing and Emotion Regulation During the First Wave of the COVID-19 Pandemic: A Synchronous Online Intervention Study (2021) · cites this paper as Heck et al., 2013
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A Coach Development Program: A Guided Online Reflective Practice Intervention Study
Silva, E. J. D., Mallett, C. J., Sánchez‐Oliva, D., Dias, A., & Palmeira, A. L. (2022) · Journal of Sports Sciences · doi:10.1080/02640414.2022.2045795 · Cited by 7
Asiamah-Asare, B. K. Y., Robinson, S., Kwaśnicka, D., & Powell, D. (2022) · Safety and Health at Work · doi:10.1016/j.shaw.2022.10.004 · Cited by 7
Coelho, V. A., Marchante, M., & Brás, P. (2023) · Frontiers in Psychology · doi:10.3389/fpsyg.2023.1172517 · Cited by 13
Coppens, I., Pessemier, T. D., & Martens, L. (2023) · User Modeling and User-Adapted Interaction · doi:10.1007/s11257-023-09368-9 · Cited by 7
Kaushal, N., de la Colina, A. N., Keith, N. R., & Nemati, D. (2023) · The Gerontologist · doi:10.1093/geront/gnad159 · Cited by 7
Ünsal, B. C., Ar-Karcı, Y., Demetrovics, Z., & Reinhardt, M. (2024) · International Journal of Transgender Health · doi:10.1080/26895269.2024.2310533 · Cited by 11
Does tackling the sustainable development goals lead to life satisfaction?
da Silva, F. R., Paula, T. M. D., Gerhard, F., Victor, C., & de Freitas, A. A. F. (2024) · Environment Development and Sustainability · doi:10.1007/s10668-024-04640-3 · Cited by 7
“In this sense, the null model proved to be significant, showing an intercept of average satisfaction across the 53 countries ( p < 0.05), thus allowing further multilevel regression analyses (Heck et al., 2013; Peugh, 2010).”
InfluentialModerators Influencing the Effectiveness of a Behavioral Teacher Program
Veenman, B., Luman, M., & Oosterlaan, J. (2018) · Frontiers in Psychology · doi:10.3389/fpsyg.2018.00298 · Cited by 7
“Four hierarchical levels were used: observations were nested within students, students were nested within classrooms, and classrooms were nested within schools (level 4; Heck et al., 2013).”
MethodAnalyzing Longitudinal Multirater Data with Changing and Stable Raters
Koch, T., Holtmann, J., Eid, M., & West, S. G. (2019) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1080/10705511.2019.1638784 · Cited by 7
FDI inflow effects on Western Balkan area's labour markets
Perić, M., & Stanišić, N. (2020) · The European Journal of Applied Economics · doi:10.5937/ejae17-25663 · Cited by 7
Perić, M., & Filipović, S. (2021) · Sociológia - Slovak Sociological Review · doi:10.31577/sociologia.2021.53.3.9 · Cited by 7
Chai, X., & Ma, M. (2022) · Frontiers in Psychology · doi:10.3389/fpsyg.2021.779190 · Cited by 7
Asnaani, A., Kaczkurkin, A. N., Tannahill, H. S., & Fitzgerald, H. E. (2016) · Journal of Experimental Psychopathology · doi:10.5127/jep.055416 · Cited by 8
“All analyses were conducted using IBM SPSS Statistics, version 22, using the linear mixed model procedures outlined in Heck, Thomas, and Tabata (2014) and Shek and Ma (2011).”
MethodA Longitudinal Examination of Work–Family Conflict among Working Mothers in the United States
Raza, H., van Eeden‐Moorefield, B., Grzywacz, J. G., Linver, M. R., & Lee, S. (2018) · Emerald Group Publishing Limited eBooks · doi:10.1108/s1530-353520180000013007 · Cited by 7
Is Complex Visual Information Implicated During Language Comprehension? The Case of Cast Shadows
Horchak, O. V., & Garrido, M. V. (2020) · Cognitive Science · doi:10.1111/cogs.12870 · Cited by 8
Valdivino, C. X., De Paula, T. M., & Gerhard, F. (2025) · Future Business Journal · doi:10.1186/s43093-025-00626-3 · Cited by 7
Paucsik, M., Baeyens, C., Tessier, D. P., & Shankland, R. (2024) · Journal of Clinical Psychology · doi:10.1002/jclp.23748 · Cited by 8
Tweeting for peace: an analysis of twitter use in Colombia's peace process
Quinchía-Saavedra, C., García, J. A. C., & Pino, J. M. R. (2025) · International Review on Public and Nonprofit Marketing · doi:10.1007/s12208-025-00433-0 · Cited by 6
Trautendorfer, J. A., & Eder, N. (2025) · Governance · doi:10.1111/gove.70041 · Cited by 6
Differential development and trainability of self-regulatory abilities among preschoolers
Grüneisen, L., Dörrenbächer‐Ulrich, L., & Perels, F. (2022) · Acta Psychologica · doi:10.1016/j.actpsy.2022.103802 · Cited by 6
Adamis, D., Krompa, G. M., Rauf, A., et al. (2023) · Merits · doi:10.3390/merits3030036 · Cited by 6
“This model takes into account the fact that observations within a team are correlated [17].”
BackgroundThaler, L., Booij, L., St‐Hilaire, A., Hodge, C. P., Mesli, N., Burko, H., Lee, V., Oliverio, S., Israël, M., & Steiger, H. (2024) · International Journal of Eating Disorders · doi:10.1002/eat.24263 · Cited by 6
Evaluating the before operational stress program: comparing in-person and virtual delivery
Ioachim, G., Bolt, N. K., Redekop, M., Wakefield, A., Shulhin, A., Dabhoya, J., Khoury, J. M. B., Bélanger, K., Williams, S. C. P., Chomistek, T., et al. (2024) · Frontiers in Psychology · doi:10.3389/fpsyg.2024.1382614 · Cited by 8
“The MLM approach provides accurate estimates when some individuals have missing timepoints (Heck et al., 2013; West et al., 2015), and also allowed for more close comparison to the previous BOS Intensive evaluation.”
ResultHolt, N. J., Flórez-Varela, Á., Gómez–Restrepo, C., Godoy-Casasbuenas, N., Toyama, M., Hidalgo-Padilla, L., Diez‐Canseco, F., Brusco, L. I., Olivar, N., Lucchetti, S. C., et al. (2024) · Journal of Child and Adolescent Mental Health · doi:10.2989/17280583.2024.2385308 · Cited by 7
Neubert, M., & Wood, M. (2018) · Journal of business and psychology · doi:10.1007/s10869-018-9594-1 · Cited by 4
Chen, N., & Kim, C.-G. (2021) · International Journal of Environmental Research and Public Health · doi:10.3390/ijerph18115785 · Cited by 6
Goozée, R., Barrable, A., Ļubenko, J., Παπαδάτου-Παστού, Μ., Haddad, M., McKeown, E., Hirani, S. P., Martin, M., & Tzotzoli, P. (2022) · Journal of Mental Health · doi:10.1080/09638237.2022.2069699 · Cited by 12
Ebisawa, K., KUSUDA, S., Nakayama, S., Pai, C., Kinoshita, R., & Hiroshi, K. O. I. E. (2022) · Journal of Veterinary Behavior · doi:10.1016/j.jveb.2022.07.002 · Cited by 6
Initial Effects of a Brief Transdiagnostic Intervention on Parent Emotion Management During COVID-19
Halliday, E. R., Cepeda, S. L., Grassie, H. L., Jensen‐Doss, A., & Ehrenreich, J. T. (2022) · Child Psychiatry & Human Development · doi:10.1007/s10578-022-01409-5 · Cited by 6
“Piecewise multilevel modeling [MLM; see 71–73] was employed using HLM software [74] to account for nesting of (1) Repeated measures for each participant, (2) Each participant, and (3) Participants nested within their group therapists, with one ID number assigned for each unique pair of therapists…”
Mental contrasting and energization transfer to low-expectancy tasks
Sevincer, A. T., Plakides, A., & Oettingen, G. (2022) · Motivation and Emotion · doi:10.1007/s11031-022-09963-0 · Cited by 6
“We entered school as a random effect on Level 2 and condition as predictor (Heck et al., 2013).”
MethodAre government employees more or less likely to venture? Evidence from China
Zhao, M., Sheng, S., & Yang, X. (2023) · Journal of Business Research · doi:10.1016/j.jbusres.2022.113629 · Cited by 6
Jarego, M., Ferreira-Valente, A., Sánchez‐Rodríguez, E., Miró, J., Costa, P., & Ribeiro, J. L. P. (2024) · Current Psychology · doi:10.1007/s12144-024-06553-w · Cited by 7
Trueba, A. F., Ryan, M. W., Vogel, P. D., & Ritz, T. (2016) · Biological Psychology · doi:10.1016/j.biopsycho.2016.04.009 · Cited by 6
Exploring boundary conditions of the listening comprehension-reading comprehension discrepancy index
Odegard, T. N., Farris, E. A., & Washington, J. A. (2022) · Annals of Dyslexia · doi:10.1007/s11881-021-00250-0 · Cited by 6
Bjørndal, L. D., Tauqeer, F., Heiervang, K. S., Clausen, H. K., Heitmann, K., & Lupattelli, A. (2022) · BMJ Open · doi:10.1136/bmjopen-2022-061159 · Cited by 6
Regression Models for Project Expenditures
Weir, T. (2017) · Lecture notes in management and industrial engineering · doi:10.1007/978-3-319-55914-8_20 · Cited by 7
Damme, L. V., Vanderplasschen, W., Fortune, C., Vandevelde, S., & Colins, O. F. (2019) · Applied Research in Quality of Life · doi:10.1007/s11482-019-09775-4 · Cited by 6
Rubio‐Morales, A., García, J. D., Russell, S., et al. (2025) · International Journal of Sport and Exercise Psychology · doi:10.1080/1612197x.2025.2468678 · Cited by 5
“LMM analyses data with a hierarchical structure in nesting units and can appropriately handle unbalanced and repeated-measures data (Heck et al., 2014).”
Turner, E. H., & Mueller, C. W. (2021) · Administration and Policy in Mental Health and Mental Health Services Research · doi:10.1007/s10488-021-01121-x · Cited by 5
Chen, L. H., Wu, C., Ni, Y.-L., & Kuo, C. (2021) · Sport Exercise and Performance Psychology · doi:10.1037/spy0000257 · Cited by 7
Salvador, K., Svec, C. L., Glaser, J., et al. (2021) · Psychology of Music · doi:10.1177/03057356211050670 · Cited by 5
“For the intercept variance, Wald Z p-values were halved to adjust statistical significance from two-tailed to one-tailed (Heck et al., 2014; Pituch & Stevens, 2016; Tabachnick & Fidell, 2013), indicating that there was a significant clustering effect for HLM Teacher Singing (σ2B = 59.”
BackgroundMethodInfluentialHaumann, T., Kassemeier, R., & Wieseke, J. (2021) · Springer eBooks · doi:10.1007/978-3-319-57413-4_18 · Cited by 7
Religion und Sozialkapital in der Schweiz
Odermatt, A. (2023) · Politik und Religion · doi:10.1007/978-3-658-41147-3 · Cited by 6
Jabkowski, P., Domaradzki, J., & Baranowski, M. (2025) · Humanities and Social Sciences Communications · doi:10.1057/s41599-025-04781-4 · Cited by 5
Predictors and Motivational Taxonomy of Youth Elopement From Residential Mental Health Placement
Milette-Winfree, M., Ku, J. G. K., & Mueller, C. W. (2017) · Residential Treatment for Children & Youth · doi:10.1080/0886571x.2017.1329643 · Cited by 5
Aoyama, I., Yanagida, T., & Wright, M. F. (2017) · International Journal of School & Educational Psychology · doi:10.1080/21683603.2017.1291388 · Cited by 6
Multilevel modeling of chronotype and weekdays versus weekends to predict nonrestorative sleep
Tutek, J., Molzof, H. E., & Lichstein, K. L. (2017) · Chronobiology International · doi:10.1080/07420528.2017.1373118 · Cited by 5
“Day type and chronotype predicted RSQ via a multistep MLM approach using the MIXED procedure in SPSS version 23.0 (IBM Corp., Armonk, NY; Heck et al. 2014).”
MethodInfluentialOn kitsch and kic: Comparing kitsch concepts from Bavaria, Serbia and Slovenia
Ortlieb, S. A., Stojilović, I. Z., Rutar, D., Fischer, U. C., & Carbon, C. (2017) · Psihologija · doi:10.2298/psi1703357o · Cited by 5
Ideas of Subjective Well-Being in Democratic and Nondemocratic Societies: A Comparative Study
Zagrebina, A. (2018) · Comparative Sociology · doi:10.1163/15691330-12341450 · Cited by 5
Assessment Strategies for Reflective Learning in the Workplace: A Pragmatic Approach
Roessger, K. M. (2020) · Adult Learning · doi:10.1177/1045159520941947 · Cited by 5
Brand, C., Ward, F., MacDonagh, N., Cunningham, S., & Timulák, L. (2021) · BMC Psychiatry · doi:10.1186/s12888-021-03226-x · Cited by 5
“A Maximum Likelihood (ML) estimation method was used in order to facilitate the comparison of the resulting models [25].”
MethodTreatment focus diffusion predicts poorer clinical progress in children's public mental health care
Holmes, K. L., & Mueller, C. W. (2021) · Journal of Behavioral and Cognitive Therapy · doi:10.1016/j.jbct.2021.09.002 · Cited by 7
Debt and Firm Value, The New Approach of Hierarchical Method
Hoang, H. T. T., Vu, T. T. M., & Nguyen, D. T. (2023) · Journal Of Organizational Behavior Research · doi:10.51847/zmct8rfvcp · Cited by 5
Dong, J., Zhang, Y., & Ma, K. (2023) · Social Influence · doi:10.1080/15534510.2023.2187881 · Cited by 5
Trekels, J., Vangeel, L., & Eggermont, S. (2017) · Journal of Children and Media · doi:10.1080/17482798.2017.1348371 · Cited by 5
Client perfectionism and psychological symptoms throughout psychotherapy
Richardson, C. M. E., Rice, K. G., Sauer, E. M., & Roberts, K. E. (2017) · Psychotherapy Research · doi:10.1080/10503307.2017.1413854 · Cited by 5
“The MLM steps and recommendations outlined by Kahn (2011) as well as Heck, Thomas, and Tabata (2014) were used, and we also followed recent examples of MLM in psychotherapy literature such as Rice et al. (2015).”
MethodThe Impact of Country-Level and Firm-Level on Financial Performance: A Multilevel Approach
Salah, W. (2018) · International Journal of Accounting and Taxation · doi:10.15640/ijat.v6n2a5 · Cited by 6
Measuring Moral Values with Smartwatch-Based Body Sensors
Sun, L., & Gloor, P. A. (2020) · Springer proceedings in complexity · doi:10.1007/978-3-030-48993-9_4 · Cited by 5
Khoo, S. Y., Uhrig, A., Samaha, A., & Chaudhri, N. (2022) · Neuroanatomy and Behaviour · doi:10.35430/nab.2022.e46 · Cited by 3
Sekeris, E., Empsen, M., Verschaffel, L., & Luwel, K. (2020) · European Journal of Psychology of Education · doi:10.1007/s10212-020-00507-z · Cited by 7
Spindler, H., Thorup, C. B., Nøhr, D., & Andreasen, J. J. (2023) · Journal of Clinical Nursing · doi:10.1111/jocn.16818 · Cited by 4
Ching, B. H., & Li, X. Y. (2024) · Contemporary Educational Psychology · doi:10.1016/j.cedpsych.2024.102300 · Cited by 4
Al-Hemoud, A. M., Al-Senafi, A., Al-Khayat, A., et al. (2024) · Discover Atmosphere · doi:10.1007/s44292-024-00017-3 · Cited by 4
“The model equation is represented by [35]: where Y ij represents the estimated pollutant concentrations for the i th day and j th year; γ 00 is the overall intercept; u 0j is the between-year variation in intercepts; (γ 00+ u 0j ) is the intercept for each year; and ε ij represents the variation in…”
Tan, X., & Zhang, Y. (2025) · Transportation Research Part F Traffic Psychology and Behaviour · doi:10.1016/j.trf.2025.103465 · Cited by 4
Cantave, C. Y., Brendgen, M. R., LUPIEN, S. J., Dionne, G., Vitaro, F., Boivin, M., & Ouellet‐Morin, I. (2023) · Journal of Child Psychology and Psychiatry · doi:10.1111/jcpp.13893 · Cited by 4
Wang, C., & Hu, X. (2024) · The Internet and Higher Education · doi:10.1016/j.iheduc.2024.100963 · Cited by 4
Häkkilä, L., Kouvo, A., Oinas, T., Pfeifer, M., & Toikko, T. (2024) · Journal of International and Comparative Social Policy · doi:10.1017/ics.2025.4 · Cited by 5
“For multilevel modeling, we standardized the within-country variance of this variable to estimate the country-level effect, following the guidelines of Heck et al. (2014, pp. 65 – 66, 69 – 72).”
Si, Y., Wang, W., Guo, M., et al. (2025) · Displays · doi:10.1016/j.displa.2025.103117 · Cited by 4
Mukhtar, F., Ding, W.-E., Lye, M. S., Awang, H., & Munawar, K. (2021) · Pertanika journal of social science & humanities · doi:10.47836/pjssh.29.1.16 · Cited by 4
“05 (Heck et al., 2013) and the design effect was greater than 2 (Peugh, 2010), it indicated the need for the GLMM analysis.”
BackgroundIndividualised care in Flemish and Dutch hospitals: Comparing patients’ and nurses’ perceptions
Theys, S., van Belle, E., Heinen, M. M., Malfait, S., Eeckloo, K., Beeckman, D., Verhaeghe, S. T. L., & Hecke, A. V. (2021) · Scandinavian Journal of Caring Sciences · doi:10.1111/scs.13016 · Cited by 4
“A random intercept for the patients nested within wards was specified to take into account the multilevel structure of the data [29].”
MethodEmerging Adults’ Perceptions of and Responses to Interparental Conflict
Warmuth, K. A., DeCapua, A. M., & Fielding, A. (2023) · Journal of Child and Family Studies · doi:10.1007/s10826-023-02582-4 · Cited by 6
Effects of Declarative and Procedural Memory in the Development of Grammatical Structures
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Fritsch, J., Nonnenmann, J., Engelmann, N., Latinjak, A. T., Hatzigeorgiadis, A., & Jekauc, D. (2024) · Psychology of sport and exercise · doi:10.1016/j.psychsport.2024.102704 · Cited by 6
Female officials in Europe and their sport’s diversity climate
Cunningham, G. B., Webb, T., & Wicker, P. V. (2024) · European Sport Management Quarterly · doi:10.1080/16184742.2024.2391843 · Cited by 5
“We used restricted maximum likelihood estimation (Heck et al., 2013).”
Development of classroom management competencies throughout teacher education: a longitudinal study
Bauersfeld, J. L., Gold, B., & Holodynski, M. (2025) · Teacher Development · doi:10.1080/13664530.2025.2455113 · Cited by 8
“To account for interindividual differences, we allowed free estimation of parameter variances and covariances in the random effects model (Heck, Thomas, and Tabata 2013).”
Metwally, D., Bakari, H., & Metwally, M. (2025) · Journal of Nursing Management · doi:10.1155/jonm/5336957 · Cited by 5
“According to Heck et al. [122], the value of ICC (0.05) is often regarded as the rough cutof for the evidence of signifcant clustering.”
InfluentialTjue år med TIMSS og PISA i Norge
Bergem, O. K., Björnsson, J. K., Blömeke, S., Hatlevik, O. E., Jensen, F., Kaarstein, H., Kjærnsli, M., Mork, S. M., Nilsen, T., Olsen, R. V., et al. (2018) · Universitetsforlaget eBooks · doi:10.18261/9788215030067-2018 · Cited by 13
Chen, S., Rosenkranz, R. R., McLoughlin, G. M., Vazou, S., Lanningham‐Foster, L., Gentile, D. A., & Dzewaltowski, D. A. (2020) · International Journal of Environmental Research and Public Health · doi:10.3390/ijerph17155401 · Cited by 4
Assaf, R. R., Pham, P. K., Schmidt, A. R., Gorab, A., Chang, T. P., & Liu, D. R. (2021) · AEM Education and Training · doi:10.1002/aet2.10572 · Cited by 4
Gilpin, H. R., Ratanachatchuchai, S., Novelli, D., McCracken, L. M., & Scott, W. (2022) · British Journal of Pain · doi:10.1177/20494637211073012 · Cited by 4
“05 have been suggested as a cut-off for pursuing multilevel analyses.(45) For the linear mixed effects models, a variance components matrix and maximum likelihood estimation were used.”
MethodBoyer, W. A. R. (2022) · Early Childhood Education Journal · doi:10.1007/s10643-022-01310-9 · Cited by 10
Støre, S. J., Tillfors, M., Wästlund, E., Angelhoff, C., Andersson, G., & Norell‐Clarke, A. (2022) · Sleep Medicine · doi:10.1016/j.sleep.2022.05.822 · Cited by 4
Consumer complaint intentions: the impact of general and specific self-confidence
Öney, E., & Aghaei, İ. (2022) · Journal of Marketing Analytics · doi:10.1057/s41270-022-00203-5 · Cited by 4
Sandgren, O., Andersson, K., Åhlander, V. L., Rosqvist, I., Hansson, K., & Sahlén, B. S. (2022) · International Journal of Language & Communication Disorders · doi:10.1111/1460-6984.12829 · Cited by 10
Buckmaster, J., Urick, A., & Ford, T. G. (2023) · Journal of Education for Students Placed at Risk (JESPAR) · doi:10.1080/10824669.2023.2202324 · Cited by 4
“A multilevel growth model was utilized to analyze the effects of student characteristics, including retained (treatment) versus promoted (matched control), on language outcomes over seven years (see Heck, Thomas & Tabata, 2013).”
Godeano-Barr, S., Reifen‐Tagar, M., Tarrasch, R., & Levit‐Binnun, N. (2023) · Mindfulness · doi:10.1007/s12671-023-02205-5 · Cited by 5
Ponce-Bordón, J. C., López-Gajardo, M. Á., Fernández-Navarro, J., et al. (2023) · International Journal of Performance Analysis in Sport · doi:10.1080/24748668.2023.2278370 · Cited by 4
Ferent-Pipas, M., & Lazăr, D. (2023) · Economic and Industrial Democracy · doi:10.1177/0143831x231213024 · Cited by 4
Mialland, A., Atallah, I., & Bonvilain, A. (2024) · IRBM · doi:10.1016/j.irbm.2024.100823 · Cited by 4
Reynolds, J. P., Webb, T. L., McCulloch, K. C., & Fitzsimons, G. M. (2019) · British Journal of Health Psychology · doi:10.1111/bjhp.12389 · Cited by 4
Grimm, H., Todorova, M., & Möller, K. (2020) · Zeitschrift für Didaktik der Naturwissenschaften · doi:10.1007/s40573-020-00110-1 · Cited by 6
“…stellt die Veränderungsrate für ein Zeitintervall dar und wird über die Zeit als konstant zwischen Prä und Post sowie Post und Follow-Up angesehen, wohingegen der quadratische Term die Veränderung in der Änderungsrate (verlangsamend oder beschleunigend) über die Zeit abbildet (Heck et al. 2014).”
BackgroundInfluentialHow Can Respectfulness in Medical Professionals Be Increased? A Complex But Important Question
Clucas, C., & Claire, L. S. (2016) · Journal of Bioethical Inquiry · doi:10.1007/s11673-016-9758-5 · Cited by 4
Steiner, S., Rauh, S., Rumo, M., et al. (2018) · Current Issues in Sport Science (CISS) · doi:10.15203/ciss_2018.009 · Cited by 4
Ghonima, J. K., Rashidy, M. E. D. E., Kotry, G. S., et al. (2020) · Alexandria Dental Journal · doi:10.21608/adjalexu.2020.86766 · Cited by 4
“Data was analyzed using IBM SPSS statistical software (version 23) (IBM SPSS Collaboration and Deployment Services)(30).”
MethodGavric, D., Cameron, D., Waechter, S., Moscovitch, D. A., McCabe, R. E., & Rowa, K. (2023) · Journal of Anxiety Disorders · doi:10.1016/j.janxdis.2023.102744 · Cited by 4
Muzi, S., Rogier, G., Bizzi, F., & Pace, C. S. (2024) · Clinical Psychology & Psychotherapy · doi:10.1002/cpp.3059 · Cited by 3
Li, C., Qu, L., Chen, Y., Li, X., & Cheng, G. (2024) · Personality and Individual Differences · doi:10.1016/j.paid.2024.113017 · Cited by 5
Does multiplication always make bigger? Exploring individual differences in NanoRoboMath game play
Kärki, T., Halme, H., Hannula‐Sormunen, M. M., et al. (2025) · Learning and Individual Differences · doi:10.1016/j.lindif.2025.102643 · Cited by 3
Høgsdal, H., Kaiser, S., Mabille, G., Breivik, K., Adolfsen, F., Martinussen, M., & Kyrrestad, H. (2025) · PLOS Digital Health · doi:10.1371/journal.pdig.0000819 · Cited by 4
Gao, W., & Xu, B. (2025) · System · doi:10.1016/j.system.2025.103720 · Cited by 3
Metadata
- Authors
- Heck, R. H.
- Corresponding author
- Heck, Ronald H.
- ORCID
- Heck, Ronald H.
- Venue
- Routledge eBooks
- Publisher
- Routledge
- Published
- 2013-08-22
- OpenAlex
- W4302348542
- Cited by
- 774
- References
- 0
- Citations by year
- 2026: 33 · 2025: 61 · 2024: 72 · 2023: 92 · 2022: 80 · 2021: 85 · 2020: 62 · 2019: 60 · 2018: 54 · 2017: 71 · 2016: 53 · 2015: 22 · 2014: 14 · 2013: 6
- FWCI
- 7.23
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Routledge eBooks (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Spatial and Panel Data Analysis
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
- Keywords
- multilevel modeling, longitudinal modeling, growth trajectories, covariance structure, personal transformation, regression discontinuity design, quasi-experimental design, missing data, sampling weights, cross-classified data, multivariate outcomes, organizational change
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