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Raykov, Tenko; Menold, Natalja; Leer, Jane – Educational and Psychological Measurement, 2022
Two- and three-level designs in educational and psychological research can involve entire populations of Level-3 and possibly Level-2 units, such as schools and educational districts nested within a given state, or neighborhoods and counties in a state. Such a design is of increasing relevance in empirical research owing to the growing popularity…
Descriptors: Hierarchical Linear Modeling, Computation, Statistical Analysis, Research Design
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Man, Kaiwen; Schumacker, Randall; Morell, Monica; Wang, Yurou – Educational and Psychological Measurement, 2022
While hierarchical linear modeling is often used in social science research, the assumption of normally distributed residuals at the individual and cluster levels can be violated in empirical data. Previous studies have focused on the effects of nonnormality at either lower or higher level(s) separately. However, the violation of the normality…
Descriptors: Hierarchical Linear Modeling, Statistical Distributions, Statistical Bias, Computation
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Mangino, Anthony A.; Finch, W. Holmes – Educational and Psychological Measurement, 2021
Oftentimes in many fields of the social and natural sciences, data are obtained within a nested structure (e.g., students within schools). To effectively analyze data with such a structure, multilevel models are frequently employed. The present study utilizes a Monte Carlo simulation to compare several novel multilevel classification algorithms…
Descriptors: Prediction, Hierarchical Linear Modeling, Classification, Bayesian Statistics
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Finch, W. Holmes – Journal of Experimental Education, 2022
Multivariate analysis of variance (MANOVA) is widely used to test the null hypothesis of equal multivariate means across 2 or more groups. MANOVA rests upon an assumption that error terms are independent of one another, which can be violated if individuals are clustered or nested within groups, such as schools. Ignoring such nesting can result in…
Descriptors: Multivariate Analysis, Hypothesis Testing, Structural Equation Models, Hierarchical Linear Modeling
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Acar, Selcuk; Tadik, Harun; Myers, Danielle; van der Sman, Carian; Uysal, Recep – Journal of Creative Behavior, 2021
Creativity and well-being are popular subjects in psychological and organizational studies. The recent literature presented mixed perspectives about the nature of the relationship between the two. Whereas the mad-genius hypothesis, which was often explored among eminently creative individuals, seems to imply a negative relationship between the…
Descriptors: Creativity, Well Being, Meta Analysis, Predictor Variables
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Shen, Zuchao; Kelcey, Benjamin – Journal of Research on Educational Effectiveness, 2022
Optimal sampling frameworks attempt to identify the most efficient sampling plans to achieve an adequate statistical power. Although such calculations are theoretical in nature, they are critical to the judicious and wise use of funding because they serve as important starting points that guide practical discussions around sampling tradeoffs and…
Descriptors: Sampling, Research Design, Randomized Controlled Trials, Statistical Analysis
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Aydin, Burak; Algina, James – Journal of Experimental Education, 2022
Decomposing variables into between and within components are often required in multilevel analysis. This method of decomposition should not ignore possible unreliability of an observed group mean (i.e., arithmetic mean) that is due to small cluster sizes and can lead to substantially biased estimates. Adjustment procedures that allow unbiased…
Descriptors: Hierarchical Linear Modeling, Prediction, Research Methodology, Educational Research
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Fay, Derek M.; Levy, Roy; Schulte, Ann C. – Journal of Experimental Education, 2022
Longitudinal data structures are frequently encountered in a variety of disciplines in the social and behavioral sciences. Growth curve modeling offers a highly extensible framework that allows for the exploration of rich hypotheses. However, owing to the presence of interrelated sources of potential data-model misfit at multiple levels, the…
Descriptors: Measurement, Models, Bayesian Statistics, Hierarchical Linear Modeling
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Aydin, Mustafa – Education and Information Technologies, 2022
With the rapid technological advancements, schools and teachers have great responsibilities to educate students with regard to technological transformations. Students' ease of access to information and communications technology (ICT) tools provides ample opportunities for the development of these skills, not solely limited to schools. On the other…
Descriptors: Hierarchical Linear Modeling, Computer Literacy, Information Literacy, Foreign Countries
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Tomek, Sara; Robinson, Cecil – Measurement: Interdisciplinary Research and Perspectives, 2021
Typical longitudinal growth models assume constant functional growth over time. However, there are often conditions where trajectories may not be constant over time. For example, trajectories of psychological behaviors may vary based on a participant's age, or conversely, participants may experience an intervention that causes trajectories to…
Descriptors: Growth Models, Statistical Analysis, Hierarchical Linear Modeling, Computation
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Singh, Akansha; Uwimpuhwe, Germaine; Li, Mengchu; Einbeck, Jochen; Higgins, Steve; Kasim, Adetayo – International Journal of Research & Method in Education, 2022
In education, multisite trials involve randomization of pupils into intervention and comparison groups within schools. Most analytical models in multisite educational trials ignore that the impact of an intervention may be school dependent. This study investigates the impact of statistical models on the uncertainty associated with an effect size…
Descriptors: Randomized Controlled Trials, Effect Size, Hierarchical Linear Modeling, Least Squares Statistics
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Son, Sookyoung; Hong, Sehee – Educational and Psychological Measurement, 2021
The purpose of this two-part study is to evaluate methods for multiple group analysis when the comparison group is at the within level with multilevel data, using a multilevel factor mixture model (ML FMM) and a multilevel multiple-indicators multiple-causes (ML MIMIC) model. The performance of these methods was evaluated integrally by a series of…
Descriptors: Hierarchical Linear Modeling, Factor Analysis, Structural Equation Models, Groups
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Rights, Jason D.; Sterba, Sonya K. – New Directions for Child and Adolescent Development, 2021
Developmental researchers commonly utilize multilevel models (MLMs) to describe and predict individual differences in change over time. In such growth model applications, researchers have been widely encouraged to supplement reporting of statistical significance with measures of effect size, such as R-squareds ("R[superscript 2]") that…
Descriptors: Effect Size, Longitudinal Studies, Hierarchical Linear Modeling, Computation
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Casabianca, Jodi M. – Educational Measurement: Issues and Practice, 2021
Module Overview: In this digital ITEMS module, Dr. Jodi M. Casabianca provides a primer on the "hierarchical rater model" (HRM) framework and the recent expansions to the model for analyzing raters and ratings of constructed responses. In the first part of the module, she establishes an understanding of the nature of constructed…
Descriptors: Hierarchical Linear Modeling, Rating Scales, Error of Measurement, Item Response Theory
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McCrudden, Matthew T.; Marchand, Gwen – Educational Psychologist, 2020
We discuss possible uses of multilevel mixed methods (M[superscript 3]) research in educational psychology. To begin, we describe M[superscript 3] research and how such research can enable researchers to investigate potential variation at the group level and at the subgroup/individual level. We discuss why M[superscript 3] research designs are…
Descriptors: Hierarchical Linear Modeling, Mixed Methods Research, Educational Psychology, Psychological Studies
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