«Estimating teacher productivity using a multivariate
multilevel model for value - added analysis.»
Not exact matches
Individual growth curve
models were developed
for multilevel analysis and specifically designed
for exploring longitudinal data on individual changes over time.23 Using this approach, we applied the MIXED procedure in SAS (SAS Institute) to account
for the random effects of repeated measurements.24 To specify the correct
model for our individual growth curves, we compared a series of MIXED
models by evaluating the difference in deviance between nested
models.23 Both fixed quadratic and cubic MIXED
models fit our data well, but we selected the fixed quadratic MIXED
model because the addition of a cubic time term was not statistically significant based on a log - likelihood ratio test.
Multilevel logistic regression was used to estimate the odds ratios (ORs)
for conversion to laparotomy, CRM +, intraoperative complications, and postoperative complications between treatment groups, adjusting
for the stratification factors, where operating surgeon was
modeled as a random effect.
BioEmergences proposes collaborative services
for the reconstruction of
multilevel dynamics from the in vivo observation of developing
model organisms.
Multilevel modeling techniques were used with a sample of 643 students enrolled in 37 secondary school classrooms to predict future student achievement (controlling
for baseline achievement) from
Repeated measures of both teachers and students are planned over a three - year period, with annual analysis making use of latent variable measurement
models and accounting
for the
multilevel and longitudinal structure of the data.
Perhaps the most enabling resource
for the educational research community was Singer's (1998) article demonstrating how to implement
multilevel (including growth)
models using one of the most widely available general - purpose statistical packages.
Combining longitudinal data,
multilevel modeling and state - of - the - art measurement scales from The Lexile ® Framework
for Reading and The Quantile ® Framework
for Mathematics, Williamson (2016) premiered incremental velocity norms
for average reading growth and average mathematics growth.
My goal is to build a Bayesian
multilevel model that can provide useful information
for specific writers.
Rather, I recommend that they --- you --- become aware (to the best of your technical ability) of how these methods work, so you can use them in cases where they are most appropriate (these situations would include forecasting,
multilevel modeling, inference
for complex
models with many parameters, and settings with weak data).
comorbidities [2], it is not surprising that they are at high Results
Multilevel modeling of data from 158 couples risk
for experiencing psychological
The results of the
multilevel modeling revealed mixed support
for our predictions.
In all analyses, we fitted
multilevel models with a random effects term
for course and
for outcomes corresponding to individual child data and a random effects term
for family.
Multilevel structural equation
modeling was applied in order to account
for individual, class - average, and teacher effects.
Thus, available data at each assessment
for the entire sample were used in the
multilevel models conducted using SAS software, version 9.2.29 The primary outcome was the least - squares mean difference in clinician - rated PTSD symptoms, derived from these
models (see below), from pretreatment to posttreatment compared between the CBCT and wait - list groups.
Multilevel regression
models do not provide a direct estimate of first - level variance (parents in our
model);
for logistic
models, the variance at the first level is fixed as the variance of the standard logistic distribution, that is at π 2 / 3, or about 3.29 (Goldstein, Browne, & Rasbash, 2002; Snijders & Bosker, 1999).
We used
multilevel models to examine associations between intensive grandparental childcare and contextual - structural and cultural factors, after controlling
for grandparent, parent, and child characteristics using nationally representative data from the Survey of Health, Ageing and Retirement in Europe.
In support of these results,
multilevel modeling of the outcomes revealed the predicted time × condition interaction
for the primary outcome of clinician - rated PTSD symptom severity (t37.5 = − 3.09; P =.004) and
for patient - reported relationship satisfaction (t68.5 = 2.00; P =.049).
Multilevel modeling was also conducted on each outcome, with condition, time, and the condition × time interaction included in the
model; random intercepts and slopes were estimated
for each participant.
Finally, the estimates from both sets of
multilevel models suggest that CfC had the effect of reducing the number of jobless households
for those in low - income and not low - income households.
Multilevel model estimates with and without the baseline as a control suggested that CfC had a positive effect on involvement in community service activity and reduced the rate of household joblessness
for households with low education mothers.
Children residing in CfC sites had significantly lower reported physical functioning than children in comparison sites even in the
multilevel model that controlled
for baseline functioning.
Second, because baseline data were available
for many outcomes, a second
multilevel model was run that included baseline functioning.
The
multilevel models that did not control
for baseline functioning suggest that children in low - income and those not in low - income households had significantly lower levels of physical functioning than children in CfC sites than in comparison sites.
Because of the nested nature of our data, with supervisors providing performance ratings
for multiple employees, we tested our research
model with
multilevel path analysis using MPlus 6.11 (Muthén and Muthén 2010).
Data Analytic Strategy
For these analyses, we used
multilevel modeling and the HLM 7.01 software (Raudenbush, Bryk, Fai, Congdon, & du Toit, 2011).
Multilevel modeling was used to test
for the effects of the intervention on grades.
Using publicly available community - level AEDI data, 62, 63 we ran a two - level
multilevel logistic regression
model for one aggregate developmental outcome measure (ie, risk of developmental vulnerability; figure 3A) and an example simulation (figure 3B) using a total sample of 181 500, with the proportion of Aboriginal children in each LGA derived from ABS estimates.64, 65 Binomial outcome data were simulated assuming a baseline risk of being vulnerable of 21 % and a community - level random effect based on the actual variation in the published data (figure 3A).
Continuous and dichotomous outcomes
for the five AEDI domains and the aggregate AEDI measure will be
modelled separately using
multilevel linear and logistic regression, respectively.
Separate
multilevel models will be developed
for each of our outcomes, using an iterative process.
Where appropriate controls were not used, we will request individual participant data and re-analyse the data using
multilevel models that control
for clustering.
[book] Zaidman - Zait, A / 2005 /
Multilevel (HLM)
models for modeling change with Incomplete Data: Demonstrating the effects of Missing data and Level - 1 Model Mis - specification / Paper presented at the Hierarchical Linear Modeling (SIG) of the
modeling change with Incomplete Data: Demonstrating the effects of Missing data and Level - 1
Model Mis - specification / Paper presented at the Hierarchical Linear
Modeling (SIG) of the
Modeling (SIG) of the America
Because the children are nested within families, we have used
multilevel modeling, which takes into account the absence of independence between siblings within families and allows
for one than one positive case at the family level.
In sum, given the results from our simulation study and the empirical applications, we conclude that the
multilevel TAR
model is a valuable addition to the available techniques
for analyzing intensive longitudinal data.
Multilevel modeling of data from 158 couples revealed that, at baseline, dyadic adjustment moderated the association between blame and distress
for patients but not spouses (p < 0.05).
Bayesian estimation is used here because classical approaches are problematic
for the
multilevel TAR
model.
This paper illustrates a method
for operationalizing affect dynamics using a
multilevel stochastic differential equation (SDE)
model, and examines how those dynamics differ with age and trait - level tendencies to deploy emotion regulation strategies (reappraisal and suppression).
For this reason, the autoregressive coefficient in the
multilevel AR
model is also called the inertia, and has been interpreted as a measure of regulatory weakness.
This
multilevel AR
model enables researchers to estimate the average inertia in the population and to use observed person - level variables as predictors
for the inertias, to see which person characteristics are related to regulatory weakness.
The BUGS input files
for the
multilevel AR and TAR
models are given in Appendix 1.
The
multilevel TAR
model that we develop in this study is suitable
for testing this hypothesis, and can be used in a broader context
for investigating various proposed mechanisms of state - dependent regulation.
Importantly, using the
multilevel TAR
model, researchers can use person - level variables as predictors both
for the inertias, representing the state - dependent regulatory weakness, and
for the threshold representing a person's equilibrium.
Next, we describe the existing AR and TAR
models and we present the basic
multilevel TAR
model for state - dependent regulation.
A possible explanation
for these null findings may be that the variability in inertia and in inertia difference in a
multilevel TAR
model may be smaller than the variability in inertia in a
multilevel AR
model.
In standard
multilevel software, it is not even possible to specify the
multilevel TAR
model unless plugin values are used
for the unknown thresholds.
Multilevel modeling of data from 158 couples revealed that baseline spouses» reports of caregiving - related health problems were significantly associated with 3 - month (p < 0.001) and 6 - month (p = 0.01) follow - up distress in both patients and spouses even when controlling
for baseline distress and dyadic adjustment.
In conclusion, we note that the TAR
model was clearly preferable to an AR
model for these data, since affect regulation was state - dependent
for most of the individuals in the sample and a
multilevel AR
model would misrepresent the underlying regulatory process.
Based on the results of our simulations, we can conclude that Bayesian estimation of the
multilevel TAR
model is feasible
for the sample sizes under consideration, and yields accurate estimates of the average inertias and threshold.
Madhyastha et al. (2011) analyzed these data using single - person TAR and AR
models for each spouse, rather than a
multilevel model.
Thus, a posterior distribution was obtained
for this difference, and the 95 % credible interval of this difference was then used as a decision criterion: When 0 was included in the credible interval, there was no evidence that there are two different mean inertias, so we selected the
multilevel AR
model; when 0 was not included in the credible interval of the mean difference, this was taken as evidence that there are two distinct states with different mean inertias, so we selected the
multilevel TAR
model.