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. 2025 Mar 19;18:22. doi: 10.1186/s13040-025-00437-w

Table 2.

The predictive performance of the longitudinal regression tree algorithms with and without the autocorrelation structure between within-subject errors in the simulated dataset

Longitudinal regression tree algorithm Autocorrelation structure MSE MAD Deviance
RE-EM Inline graphic 0.3727947 0.4524195 28636.44
AR (1) 24.52032 3.943993 29912.64
CS 0.3782275 0.4584203 28750.63
RE-EM Unbiased Inline graphic 0.2657871 0.4305183 25739.56
AR (1) 17.03199 2.813750 27807.73
CS 0.2669871 0.4354071 25946.75
Ev-RE-EM Inline graphic 0.2735940 0.4317192 25847.34
AR (1) 17.57367 2.835460 27821.97
CS 0.2747831 0.4384521 25997.92

Inline graphic: variance-covariance diagonal matrix of errors, AR (1): first-order autoregressive process, CS: compound symmetry structure with a constant correlation (unstructured)