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An alternative method of growth curve analysis is latent growth curve modeling using structural equation modeling (SEM). This approach will provide the same estimates as the multilevel modeling approach, provided that the model is specified identically in SEM. However, there are circumstances in which either MLM or SEM are preferable: [4] [6]
Phase diagram of the Ramsey model, for the case of () =, and ,,, =,,,. Phase space graph (or phase diagram) of the Ramsey model. The blue line represents the economy's dynamic adjustment (or saddle) path in which all the constraints present in the model are satisfied.
Growth curve model: [2] Let X be a p×n random matrix corresponding to the observations, A a p×q within design matrix with q ≤ p, B a q×k parameter matrix, C a k×n between individual design matrix with rank(C) + p ≤ n and let Σ be a positive-definite p×p matrix. Then
Originally developed for growth modelling, it allows for more flexible S-shaped curves. The function is sometimes named Richards's curve after F. J. Richards, who proposed the general form for the family of models in 1959.
Similarly, if we look at the orbital diagram from to , there are four reduced versions of the global orbital diagram from a1 to e1 in the orbital diagram from to . Similarly, there are p reduced versions of the global orbital diagram in the orbital diagramfromapto ep, and the branching structure of the logistic map has an infinite self-similar ...
The cobweb model or cobweb theory is an economic model that explains why prices may be subjected to periodic fluctuations in certain types of markets.It describes cyclical supply and demand in a market where the amount produced must be chosen before prices are observed.
Latent growth modeling is a statistical technique used in the structural equation modeling (SEM) framework to estimate growth trajectories. It is a longitudinal analysis technique to estimate growth over a period of time. It is widely used in the field of psychology, behavioral science, education and social science.
The Solow–Swan model or exogenous growth model is an economic model of long-run economic growth. It attempts to explain long-run economic growth by looking at capital accumulation , labor or population growth , and increases in productivity largely driven by technological progress.