The concept of education is explained with some concepts such as development, change, and
growth. Because of it, educational measurements used to determine learners achievement growth and cognitive
development, or learners status of achievement. Linear or nonlinear traditional statistical models used for status
of analysis. To determine the change commonly used paired t test statistics, constructed on the pre-test and posttest experimental design, and variance of analysis based on repeated measurements. However, these methods
include some limitations and not enough to define the growth. On the other side, the latent growth modelling has
been increasingly used to analyze longitudinal data, especially for educational researches. In this article, the
latent growth modelling was dealt with for educational purposes and discussed. Also to determine the
achievement growth (cognitive development), the all of latent growth models have been applied on a simulated
data set.
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