قارن الطرق

	Educational Growth Curve Modeling	نموذج منحنى النمو الكامن (LGC)
المجال	Education	الإحصاء
العائلة	Regression model	Latent structure
سنة النشأة	1987	1990
صاحب الطريقة	Anthony Bryk & Stephen Raudenbush; Judith Singer & John Willett	Meredith & Tisak
النوع	Longitudinal multilevel model of individual change	Latent variable / longitudinal growth model
المصدر التأسيسي	Singer, J. D., & Willett, J. B. (2003). Applied Longitudinal Data Analysis: Modeling Change and Event Occurrence. Oxford University Press. ISBN: 9780195152968	Meredith, W. & Tisak, J. (1990). Latent Curve Analysis. Psychometrika, 55(1), 107–122.
الأسماء البديلة	Latent Growth Curve Modeling in Education, Multilevel Growth Models for Achievement, Individual Growth Trajectory Analysis, Learning Trajectory Modeling	latent growth model, LGC, growth curve model, Gizil Büyüme Eğrisi Modeli
ذات صلة	4	5
الملخص	Educational growth curve modeling is a longitudinal multilevel technique for describing and explaining how individual students change over time on an outcome such as reading or mathematics achievement. Building on the hierarchical linear models framework formalized by Bryk and Raudenbush (1987) and the applied longitudinal treatment of Singer and Willett (2003), it fits each student a personal trajectory — an intercept and one or more slopes — and then models how those personal growth parameters vary across students and relate to learner characteristics, classrooms, and schools.	The latent growth curve model is a structural equation modelling approach introduced by Meredith and Tisak (1990) for analysing change over time. It treats each individual's starting point (intercept) and rate of change (slope) as latent variables, simultaneously estimating the average trajectory across the sample and the extent to which individuals differ in their own trajectories.