Two Aspects of the Simplex Model: Goodness of Fit to Linear Growth Curve Structures and the Analysis of Mean Trends

1994 ◽  
Vol 19 (3) ◽  
pp. 201 ◽  
Author(s):  
Frantisek Mandys ◽  
Conor V. Dolan ◽  
Peter C. M. Molenaar
Keyword(s):  
Growth Curve ◽  
Goodness Of Fit ◽  
Linear Growth ◽  
Simplex Model ◽  
Linear Growth Curve

Two Aspects of the Simplex Model: Goodness of Fit to Linear Growth Curve Structures and the Analysis of Mean Trends

1994 ◽  
Vol 19 (3) ◽  
pp. 201-215 ◽  
Author(s):  
Frantisek Mandys ◽  
Conor V. Dolan ◽  
Peter C. M. Molenaar
Keyword(s):  
Individual Differences ◽  
Growth Curve ◽  
Goodness Of Fit ◽  
Linear Growth ◽  
Covariance Structure ◽  
Growth Curve Model ◽  
Simplex Model ◽  
Curve Model ◽  
Structured Means ◽  
Linear Growth Curve

This article has two objectives. The first is to investigate in greater detail the finding of Rogosa and Willett that the quasi-Markov simplex model fits a linear growth curve covariance structure. It is found that under various circumstances the quasi-Markov simplex model is rejected. Furthermore, the procedure is reversed by fitting the linear growth curve to quasi-Markov simplex covariance structure. It is found that the linear growth curve, like the quasi-Markov simplex, is not always rejected even though the model is formally incorrect. The second objective of this article is to present a quasi-Markov simplex model with structured means. This model, like the linear growth curve model with structured means, is based on the assumption that the variation in means and individual differences are attributable to the same causal agents. We argue that this assumption should be tested explicitly. An example is given.

scholarly journals Application of Non-linear Growth Curve Models to Body Weight in Egg-type Chicken.

1995 ◽  
Vol 32 (6) ◽  
pp. 394-401 ◽  
Author(s):  
Shunzo MIYOSHI ◽  
Mitsuyoshi SUZUKI ◽  
Takatsugu MITSUMOTO
Keyword(s):  
Body Weight ◽  
Growth Curve ◽  
Linear Growth ◽  
Growth Curve Models ◽  
Non Linear ◽  
Linear Growth Curve

scholarly journals On MLEs in an extended multivariate linear growth curve model

Metrika ◽  
2011 ◽  
Vol 75 (8) ◽  
pp. 1069-1092 ◽  
Author(s):  
Katarzyna Filipiak ◽  
Dietrich von Rosen
Keyword(s):  
Growth Curve ◽  
Linear Growth ◽  
Growth Curve Model ◽  
Curve Model ◽  
Linear Growth Curve

A Nonstandard Method for Estimating a Linear G rowth Model in LISREL

1998 ◽  
Vol 22 (3) ◽  
pp. 453-473 ◽  
Author(s):  
Michael J. Rovine ◽  
Peter C.M. Molenaar
Keyword(s):  
Growth Curve ◽  
Structural Equation ◽  
Mixed Model ◽  
Linear Growth ◽  
Linear Mixed Model ◽  
Random Coefficients ◽  
Growth Curve Model ◽  
Growth Data ◽  
Curve Model ◽  
Linear Growth Curve

A structural equation modelling approach for estimating a linear growth curve model is presented. This method can be used for a wide variety of models based on the General Linear Mixed Model. This model is a simple example of a multilevel or random coefficients model. The logic of the method is described, and then a LISR E L implementation is presented. A s an example of the individual linear growth curve model, growth data presented by Pothoff and Roy (1964) is analysed.

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