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**Effects of distance and shape on the estimation of the piecewise growth mixture model.**
*(English)*
Zbl 1436.62274

J. Classif. 36, No. 3, 659-677 (2019); erratum ibid. 36, No. 3, 678 (2019).

Summary: The piecewise growth mixture model is used in longitudinal studies to tackle non-continuous trajectories and unobserved heterogeneity in a compound way. This study investigated how factors such as latent distance and shape influence the model. Two simulation studies were used exploring the 2- and 3-class situation with sample size, latent distance (Mahalanobis distance), and shape being considered as the influencing factor. The results of two simulations showed that a non-parallel shape led to a slightly better overall model fit. Parameter estimation is affected by the shape, mainly through the parameter differences between latent classes.

### MSC:

62H30 | Classification and discrimination; cluster analysis (statistical aspects) |

62H11 | Directional data; spatial statistics |

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\textit{Y. Liu} and \textit{H. Liu}, J. Classif. 36, No. 3, 659--677 (2019; Zbl 1436.62274)

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