2017
DOI: 10.3389/feduc.2017.00058
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Some Limits Using Random Slope Models to Measure Academic Growth

Abstract: Academic growth is often estimated using a random slope multilevel model with several years of data. However, if there are few time points, the estimates can be unreliable. While using random slope multilevel models can lower the variance of the estimates, these procedures can produce more highly erroneous estimates-zero and negative correlations with the true underlying growth-than using ordinary least squares estimates calculated for each student or school individually. An example is provided where schools w… Show more

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Cited by 14 publications
(4 citation statements)
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“…Results were similar when we applied LMMs to investigate the trajectories for every year separately ( Table 2 ). Furthermore, since only a few observations were available for each centenarian, we could not include random slopes in the LMMs, 51 such that we could not estimate the variability of the rates of decline between individual trajectories after study inclusion or during a specific year after study inclusion.…”
Section: Resultsmentioning
confidence: 99%
“…Results were similar when we applied LMMs to investigate the trajectories for every year separately ( Table 2 ). Furthermore, since only a few observations were available for each centenarian, we could not include random slopes in the LMMs, 51 such that we could not estimate the variability of the rates of decline between individual trajectories after study inclusion or during a specific year after study inclusion.…”
Section: Resultsmentioning
confidence: 99%
“…To achieve slopes that accurately represent the data, a large number of follow-ups for each person is required. More specifically, based on the work by Wright et al [59] to obtain estimated slopes that have a high correlation (> 0.8) with the true underlying slopes, 8 timepoints per person are needed. Therefore, participants were included in this analysis if they had at least 8 follow-up visits.…”
Section: Cognitive Changementioning
confidence: 99%
“…Instead, we use restricted maximum likelihood (REML) to solve the system by an iterative procedure [13], as implemented in the lmer function in the lme4 package in R. The resulting model then has estimates of the slope coefficients for each gene (random effects), along with variances. In the formula used to specify the model to lmer, Y~1+conc+(1|gene)+(0+conc| gene), the fitting of the gene-dependent random effect parameters (intercepts and slopes) is intentionally decoupled, because we expect that the gene-specific interaction of the gene with the drug (slope) should be uncorrelated with the overall abundance of the gene in the library (intercept) [14], and this decoupling has been shown to produce more reliable estimates of random effect parameters when they are uncorrelated [15]. We are primarily interested in genes with negative slopes (i.e.…”
Section: Plos Onementioning
confidence: 99%