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1.
A Second-Order Conditionally Linear Mixed Effects Model With Observed and Latent Variable Covariates
Jeffrey R. Harring Nidhi Kohli Rebecca D. Silverman Deborah L. Speece 《Structural equation modeling》2013,20(1):118-136
A conditionally linear mixed effects model is an appropriate framework for investigating nonlinear change in a continuous latent variable that is repeatedly measured over time. The efficacy of the model is that it allows parameters that enter the specified nonlinear time-response function to be stochastic, whereas those parameters that enter in a nonlinear manner are common to all subjects. In this article we describe how a variant of the Michaelis–Menten (M–M) function can be fit within this modeling framework using Mplus 6.0. We demonstrate how observed and latent covariates can be incorporated to help explain individual differences in growth characteristics. Features of the model including an explication of key analytic decision points are illustrated using longitudinal reading data. To aid in making this class of models accessible, annotated Mplus code is provided. 相似文献
2.
Despite the widespread popularity of growth curve analysis, few studies have investigated robust growth curve models. In this article, the t distribution is applied to model heavy-tailed data and contaminated normal data with outliers for growth curve analysis. The derived robust growth curve models are estimated through Bayesian methods utilizing data augmentation and Gibbs sampling algorithms. The analysis of mathematical development data shows that the robust latent basis growth curve model better describes the mathematical growth trajectory than the corresponding normal growth curve model and can reveal the individual differences in mathematical development. Simulation studies further confirm that the robust growth curve models significantly outperform the normal growth curve models for both heavy-tailed t data and normal data with outliers but lose only slight efficiency for normal data. It appears convincing to replace the normal distribution with the t distribution for growth curve analysis. Three information criteria are evaluated for model selection. Online software is also provided for conducting robust analysis discussed in this study. 相似文献
3.
Augustin Kelava Christina S. Werner Karin Schermelleh-Engel Helfried Moosbrugger Dieter Zapf Yue Ma 《Structural equation modeling》2013,20(3):465-491
Interaction and quadratic effects in latent variable models have to date only rarely been tested in practice. Traditional product indicator approaches need to create product indicators (e.g., x 1 2, x 1 x 4) to serve as indicators of each nonlinear latent construct. These approaches require the use of complex nonlinear constraints and additional model specifications and do not directly address the nonnormal distribution of the product terms. In contrast, recently developed, easy-to-use distribution analytic approaches do not use product indicators, but rather directly model the nonlinear multivariate distribution of the measured indicators. This article outlines the theoretical properties of the distribution analytic Latent Moderated Structural Equations (LMS; Klein & Moosbrugger, 2000) and Quasi-Maximum Likelihood (QML; Klein & Muthén, 2007) estimators. It compares the properties of LMS and QML to those of the product indicator approaches. A small simulation study compares the two approaches and illustrates the advantages of the distribution analytic approaches as multicollinearity increases, particularly in complex models with multiple nonlinear terms. An empirical example from the field of work stress applies LMS and QML to a model with an interaction and 2 quadratic effects. Example syntax for the analyses with both approaches is provided. 相似文献
4.
Educable mentally retarded children prove to be poor mathematic word-problem solvers. This study is aimed at improving the poor word-problem solving ability of these children. In doing so, a computerised training programme was developed in which instruction focused on the construction of adequate problem representations. This was accomplished by both instructing the children to analyse the problem text thoroughly and by having them represent the problem situation described. The efficacy of this training procedure was demonstrated in a multiple-baseline design across five subjects after some data were removed (p < 0.05). It was assumed that the complexity of the training procedure and shortcomings in the feed back mechanism used obscured the overview of the problem-solving strategy. Suggestions are offered concerning the revision of this training procedure. 相似文献
5.
Positive Affectivity and Fear Trajectories in Infancy: Contributions of Mother–Child Interaction Factors 
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下载免费PDF全文 Fear and positive emotionality were considered in a growth modeling context. Mothers, primarily Caucasian (91.9%) and of middle socioeconomic status, participated in play interactions with infants at 4 months (N = 148). Infant fear and positive affectivity were evaluated at 6, 8, 10, and 12 months of age. A linear trajectory was superior in explaining growth for parent report and observation‐based indicators of positive affectivity and parent report of fearfulness; a piecewise model explained the nonlinear growth of observation‐based fear. Responsiveness in mother–infant interactions emerged as a significant predictor of the fear trajectory, with higher sensitivity predicting lower levels of observed fear. Reciprocity, tempo, emotional tone, and intensity of mother–infant interactions also made significant contributions to temperament development; however, analyses addressing these were exploratory. 相似文献
6.
Relatively few empirical studies have examined the performance of enumeration indices in correctly identifying longitudinal population heterogeneity when present, and these studies have produced mixed results. In light of these findings, Muthén (2003) suggested that the inclusion of time-invariant (antecedent) and time-varying (concurrent) covariates, as well as allowing the extracted growth mixture classes to predict a distal outcome (consequent covariate), could improve the performance of enumeration indices. This Monte Carlo simulation study examined the performance of a large set of enumeration indices within these generalized growth mixture model (GGMM) conditions, as suggested by Muthén, by manipulating 4 design conditions: (a) sample size, (b) separation distance between adjacent latent growth trajectories, (c) growth trajectory membership proportions, and (d) the amount of mixture model variance explained by the covariates. The findings suggest: (a) at smaller (N = 500) sample sizes, enumeration indices were much more likely to select an incorrect model than the correct one, (b) at larger (N = 3,000) sample sizes, correct model identification occurred only in the largest separation distance and trajectory membership equality conditions, and (c) the inclusion of covariates had a negligible effect at smaller sample sizes, but covariate inclusion had a more favorable effect on data generation model identification in the largest sample size, largest trajectory separation distance, and equal trajectory membership proportions conditions. Suggestions for researchers and future empirical study possibilities are discussed. 相似文献
7.
Growth mixture modeling (GMM) has become a more popular statistical method for modeling population heterogeneity in longitudinal data, but the performance characteristics of GMM enumeration indexes in correctly identifying heterogeneous growth trajectories are largely unknown. Few empirical studies have addressed this issue. This study considered both homogeneous (a k = 1 growth trajectory) and heterogeneous (k = 3 different but unobserved growth trajectories) situations, and examined the performance of GMM in correctly identifying the latent trajectories in sample data. Four design conditions were manipulated: (a) sample size, (b) latent trajectory class proportions, (c) shapes of latent growth trajectories, and (d) degree of separation among latent growth trajectories. The findings suggest that, for k = 1 condition (1 homogenous growth trajectory), GMM's performance is reasonable in correctly identifying 1 latent growth trajectory (cf. Type I error control). However, for the k = 3 conditions (3 heterogeneous latent growth trajectories), GMM's general performance is very questionable (cf. Type II error). Different enumeration indexes varied considerably in their respective performances. Comparing the current results with previous GMM studies, the limitations of this study and future GMM enumeration research avenues are all discussed. 相似文献
8.
Tammi J. Ohmstede Georgette Yetter 《Journal of educational and psychological consultation》2013,23(1):18-44
This study investigated the effectiveness of conjoint behavioral consultation (CBC) for addressing externalizing behavior concerns in African American children at home and school in a low-socioeconomic status (SES), urban setting. A small-n, multiple-baseline design was employed across participants. Three of the six caregivers were unable to follow through with the consultation process, constituting a 50% completion rate. The three remaining caregivers implemented the empirically supported interventions with moderate integrity. Caregiver and teacher ratings showed that the procedural acceptability of CBC was high throughout the consultation process. The classroom teachers consistently found the behavioral interventions highly acceptable; however, the caregivers' perceptions of the interventions initially were less favorable and improved as the interventions progressed. Clinically significant gains were observed across settings for all children. Consultants should be prepared to modify consultation and intervention procedures to enhance social validity, integrity, and effectiveness with caregivers of low-SES. 相似文献
9.
ABSTRACT Employing the multiple-baseline across-subjects design, the authors examined the implementation and potential effect of a virtual-reality-based social interaction program on the interaction and communication performance of children with high functioning autism. The data were collected via behavior observation and analysis, questionnaires, and interviewing. The children participants demonstrated increased performance of responding, initiation, greeting, and positive conversation-ending during the intervention, and improved social competence measures after the intervention. The study also contributed salient themes on the adaptive design of a virtual-reality-based learning environment for learners with special needs. The study findings should extend the discussion on the design and usage of technology-supported informal learning environment for children with diverse characteristics and learning needs. 相似文献
10.
Nonlinear models are effective tools for the analysis of longitudinal data. These models provide a flexible means for describing data that follow complex forms of change. Exponential and logistic functions that include a parameter to represent an asymptote, for instance, are useful for describing responses that tend to level off with time. There are forms of nonlinear latent curve models and nonlinear mixed-effects model that are equivalent, and so given the same set of data, growth function, distributional assumptions, and method of estimation, the 2 models yield equivalent results. There are also forms that are strikingly different and can yield different interpretations for a given set of data. This article discusses cases in which nonlinear mixed-effects models and nonlinear latent curve models are equivalent and those in which they are different and clarifies the estimation needs of the different models. Examples based on empirical data help to illustrate these points. 相似文献
11.
Nicole M. McKevett Kourtney R. Kromminga Amelia Ruedy Rachel Roesslein Kristin Running Robin S. Codding 《Learning disabilities research & practice》2020,35(1):25-35
National assessments suggest that many students do not display proficiency with fractions. Considering that time and materials are precious resources, many educators are looking to use technology to provide supplemental instruction with low demand on the instructor. The current study utilized a multiple-baseline design to examine the effects of the Motion Math: Bounce application on the fraction quantity comparison and number line placement skills of three fifth-grade students. Results indicate that Motion Math: Bounce improved the quantity comparison skills of all three participants and the number line skills of one participant. Additionally, all three participants made improvements from pre- to posttest on a measure of general fraction knowledge. Implications for future research and intervention implementation are discussed. 相似文献
12.
Julie Brosnan Kendra Brooks Newsome Olive Healy Mieke Heyvaert Patrick Onghena 《Exceptionality》2018,26(3):137-161
In this article, multiple-baseline across participants designs were used to evaluate the impact of a precision teaching (PT) program, within a Tier 2 Response to Intervention framework, targeting fluency in foundational reading skills with at risk kindergarten readers. Thirteen multiple-baseline design experiments that included participation from 35 kindergarten students were included in the current analysis. By combining data from a series of multiple-baseline studies using a multilevel model, we analyzed outcomes to determine an estimated treatment effect. The results indicate that across participants and across studies, PT showed an average increase of 15 correct responses in foundational reading skills per minute. This immediate influence on rates of core reading skills was statistically significant. Moreover, the treatment had a significant positive effect on the time trend indicating that rates in foundational reading skills increased more across time during the treatment phase compared to the baseline phase. The study provides evidence that the obtained rates in foundational reading skills at the end of the intervention were retained after removing the intervention. From the outcomes of the multilevel model, PT can be considered as a promising Tier 2 intervention to increase reading fluency with individuals who are at risk of reading failure. 相似文献
13.
The purpose of this study was to investigate the effectiveness of implementing the Self-Regulated Strategy Development (SRSD) model of instruction (Graham & Harris, 2005; Harris & Graham, 1996) on the writing skills and knowledge of six first grade students. A multiple-baseline design across participants with multiple probes (Kazdin, 2010) was used to test the effectiveness of the SRSD intervention, which included story writing and self-regulation strategy instruction. All students wrote stories in response to picture prompts during the baseline, instruction, post-instruction, and maintenance phases and stories were assessed for essential story components, length, and overall quality. Participants also participated in brief interviews during the baseline and post-instruction phases. Results indicated that SRSD can be beneficial for first grade writers. Participants wrote stories that contained more essential components, were longer, and of better quality after SRSD instruction. Participants also showed improvement in writing knowledge from pre- to post-instruction. 相似文献
14.
Robin L. Hojnoski Helen Lynn Columba Joy Polignano 《Early education and development》2014,25(4):469-492
Research Findings: Shared book reading provides a meaningful context for rich conversations to occur between a child and an adult and offers opportunities for children to be exposed to a range of vocabulary and concepts that often extend beyond their everyday experiences. Few studies have examined parent–child shared book reading as a context for embedding mathematical discussion. The purpose of this study was to examine systematically the effect of training parents to focus on mathematical concepts and vocabulary during shared book reading. Specific research questions were as follows: (a) Did parents increase their use of math talk during shared storybook reading following training? (b) Did parents generalize intervention strategies? And (c) did children increase their use of math talk during shared storybook reading? Results from a yoked multiple-baseline design with 6 dyads indicated variability across the dyads with 2 general patterns. Math talk increased following training for 3 of the dyads, whereas verbal mathematical behavior did not show consistent change for the other 3 dyads. Practice or Policy: Results are discussed in the context of home support for early mathematical development. 相似文献
15.
Rating scale items have been widely used in educational and psychological tests. These items require people to make subjective judgments, and these subjective judgments usually involve randomness. To account for this randomness, Wang, Wilson, and Shih proposed the random‐effect rating scale model in which the threshold parameters are treated as random effects rather than fixed effects. In the present study, the Wang et al. model was further extended to incorporate slope parameters and embed the new model within the framework of multilevel nonlinear mixed‐effect models. This was done so that (1) no efforts are needed to derive parameter estimation procedures, and (2) existing computer programs can be applied directly. A brief simulation study was conducted to ascertain parameter recovery using the SAS NLMIXED procedure. An empirical example regarding students’ interest in learning science is presented to demonstrate the implications and applications of the new model. 相似文献
16.
Ayse Yenilmez Turkoglu Ceren Oztekin 《Research in Science & Technological Education》2016,34(2):219-236
Background: Scientific models have important roles in science and science education. For scientists, they provide a means for generating new knowledge or function as an accessible summary of scientific studies. In science education, on the other hand, they are accessible representations of abstract concepts, and are also organizational frameworks to teach and learn inaccessible facts. As being indispensable parts of learning and doing science, use of scientific models in science classes should be reinforced. At this point, uncovering pre-service science teachers’ (PSTs) understandings of scientific models are of great importance since they will design and conduct teaching situations for their students. Purpose: The study aimed to provide an answer to the research question: What understandings do PSTs possess about scientific models? Sample: The sample of the study consisted of 14 PSTs enrolled in an Elementary Science Education program in a public university in Ankara, Turkey. Design and methods: Data were collected by using an open-item instrument and semi-structured interviews, and were analyzed by using qualitative data analysis methods. Results: Findings showed that PSTs held fragmented views of models by having informed views in some aspects while having naïve views on others. That is, although they displayed a constructivist orientation by acknowledging the presence of multiple models for the same phenomenon depending on scientists’ perspectives or creativity involved in the production of scientific knowledge, PSTs also expressed logical positivist views by believing that models should be close to the real phenomena that they represent. Findings further revealed that PSTs generally conceptualized models’ materialistic uses, yet they did not think much about their theoretical and conceptual uses. It was observed that roles like reifying and visualizing were overestimated and models were dominantly characterized as three-dimensional representations. Conclusions: It is clear that PSTs, having difficulties in grasping the concept of models, would possibly have problems in planning their lessons effectively and would not develop accurate concepts in their students. These findings apparently support the need for appropriate pedagogic training of PSTs to scientifically reflect on and professionally make use of models in science classes. 相似文献
17.
Leanne R. Ketterlin‐Geller 《Educational Measurement》2008,27(3):3-16
This article presents a model of assessment development integrating student characteristics with the conceptualization, design, and implementation of standardized achievement tests. The model extends the assessment triangle proposed by the National Research Council ( Pellegrino, Chudowsky, & Glaser, 2001 ) to consider the needs of students with disabilities and English learners on two dimensions: cognitive interaction and observation interaction. Specific steps in the test development cycle for including students with special needs are proposed following the guidelines provided by Downing (2006) . Because this model of test development considers the range of student needs before test development commences, student characteristics are supported by applying the principles of universal design and appropriately aligning accommodations to address student needs. Specific guidelines for test development are presented. 相似文献
18.
This paper examined observed score linear equating in two different data collection designs, the equivalent groups design and the nonequivalent groups design, when information from covariates (i.e., background variables correlated with the test scores) was included. The main purpose of the study was to examine the effect (i.e., bias, variance, and mean squared error) on the estimators of including this additional information. A model for observed score linear equating with covariates first was suggested. As a second step, the model was used in a simulation study to show that the use of covariates such as gender and education can increase the accuracy of an equating by reducing the mean squared error of the estimators. Finally, data from two administrations of the Swedish Scholastic Assessment Test were used to illustrate the use of the model. 相似文献
19.
Monique Gagné Magdalena Janus Constance Milbrath Anne Gadermann Martin Guhn 《教育心理学》2018,38(8):1050-1067
AbstractWe examined how emotional and communication functioning at kindergarten predicted the academic trajectories of refugee children. Drawing from a population-based Canadian cohort, the study followed 629 refugee children from age 5 to 13 and (i) modeled kindergarten, Grade 4, and Grade 7 academic trajectories via group-based trajectory modeling and (ii) investigated to what extent teacher ratings of kindergarten emotional and communication functioning predicted academic trajectory group membership. Three groups were identified: ‘Average’ (n?=?438), ‘Declining’ (n?=?119), and ‘Low-But-Improving’ (n?=?72) groups. Logistic regression analyses revealed that, in comparison to the Average trajectory, lower emotional functioning at kindergarten was associated with an increased likelihood of a Declining academic trajectory, whereas lower communication functioning at kindergarten was associated with a greater likelihood of a Low-But-Improving trajectory (versus an Average trajectory). The findings indicate that refugee children are more likely to overcome early communication challenges versus emotional challenges to achieve academically, and this has important implications for early mental health support. 相似文献
20.
The purpose of this article is to describe how, within the Dutch approach to mathematics education, called Realistic Mathematics Education (RME), models are used to elicit students' growth in understanding of mathematics. First some background information is given
about the characteristics of RME related to the role of models in this approach. Then the focus is on the use of the bar model
within a longitudinal trajectory on percentage that has been designed for Mathematics in Context, a curriculum for the U.S. middle school. The power of this model is that it develops alongside both the teaching and the
students: from a drawing that represents a context related to percentage to a strip for estimation and reasoning to an abstract
tool that supports the use of percentage as an operator.
This revised version was published online in August 2006 with corrections to the Cover Date. 相似文献