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Sum of profiles model with exchangeably distributed errors. (English) Zbl 1184.62090

Summary: We have considered a generalization of the basic Potthoff-Roy growth curve model by combining a sum of profiles model with an exchangeably distributed errors model. Analytical expressions for the growth curve coefficients and their standard errors are obtain specifically. An illustration where such a model is useful in practice is also supplied.

MSC:

62H12 Estimation in multivariate analysis
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References:

[1] Anderson Theodore W., Introduction to Multivariate Statistical Analysis (1958)
[2] DOI: 10.2307/2286750 · Zbl 0431.62044
[3] Potthoff R. F., Biometrika 51 pp 313– (1964) · Zbl 0138.14306
[4] DOI: 10.1093/biomet/75.1.129 · Zbl 0636.62073
[5] Weissfield L. A., Australian Journal of Statistics 48 pp 314– (1992)
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