Assessing student achievement over multiple years is complicated by students' memberships in shifting upper-level nesting structures. These structures are manifested in (1) annual matriculation to different classrooms and (2) mobility between schools. Failure to model these shifting upper-level nesting structures may bias the inferences…

The purpose of this research note is to introduce a latent growth curve reconstruction approach based on the Tabu search algorithm. The approach algorithmically enables researchers to optimally determine at both the individual and the group levels the order of the polynomial needed to represent the latent growth curve model. The procedure is…

Longitudinal research is often interested in identifying correlates of heterogeneity in change. This paper compares three approaches for doing so: the mixed-effects model (latent growth curve model), the growth mixture model, and structural equation model trees. Each method is described, with special focus given to how each structures…

The Colorado Growth Model (CGM) was developed jointly by the Colorado Department of Education (CDE), the Technical Advisory Panel for Longitudinal Growth (TAP), and the National Center for the Improvement of Educational Assessment (NCIEA). Its development was required by state statute (SB09-163) and assigned to the Technical Advisory Panel. The…

Longitudinal data analysis has received widespread interest throughout educational, behavioral, and social science research, with latent growth curve modeling currently being one of the most popular methods of analysis. Despite the popularity of latent growth curve modeling, limited attention has been directed toward understanding the issues of…

To date, small sample problems with latent growth models (LGMs) have not received the amount of attention in the literature as related mixed-effect models (MEMs). Although many models can be interchangeably framed as a LGM or a MEM, LGMs uniquely provide criteria to assess global data-model fit. However, previous studies have demonstrated poor…

This research study explored the relationship that exists between National Board certified teachers (NBCTs) and the reading achievement of students in third through fifth grade in comparison to non-NBCTs as measured by EVAAS growth data. Additional research questions analyzed which elements contained in the five core propositions participants…

Higher education monitoring evaluation is a process that uses modern information technology to continually collect and deeply analyze relevant data, visually present the state of higher education, and provide an objective basis for value judgments and scientific decision making by diverse bodies Higher education monitoring evaluation is…

Conceptualizations of developmental trends are driven by the particular method used to analyze the period of change of interest. Various techniques exist to analyze developmental data, including individual growth curve analysis in observed and latent frameworks, cross-lagged regression to assess interrelations among variables, and multilevel…

This is a keynote presentation given at AERA on developing a validity agenda for growth models in a large scale (e.g., state) setting. The emphasis of this presentation was to indicate that growth models and the validity agenda designed to provide evidence in supporting the claims to be made need to be personalized to meet the local or…

In this report, student growth percentiles and percentile growth projections/trajectories are introduced as a means of understanding student growth in both normative and a criterion referenced ways. With these values calculated, the author shows how growth data can be utilized in both a norm- and in a criterion-referenced manner to inform…