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Even though the procedure had problems converging when fitting the Gamma with square root link, this did not present a problem for the other four statistical models.
The shoal cohesion GLMM was fitted using an inverse-Gaussian error structure and log link function, the shoal size GLMM was fitted using a Gaussian error structure with square root link function and the proportion of time shoaling fitted with a binomial error structure and logit link function.
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When Zen talks of returning to one's "original face before one's parents were born," we find the Daoist ideas of "forgetting the ego" and "returning to the root" linked together with the Mahāyāna Buddhist notion of the "original purity of the mind".
The Gamma with square-root link model had convergence problems with the smallest samples.
The Gamma with square-root link was best as measured by the PRs.
For smaller samples, the Gamma with square-root link model had problems converging.
The Gamma with square-root link has PRs that are (for each decile) consistently very close to 1.
The choice of best model could vary if smaller samples were used and the Gamma with square-root link model had convergence problems with small samples.
The intervals for the Gamma with log link model are always higher than the intervals for the Gamma with square-root link, OLS, and Square-root Normal models.
The OLS model and the Gamma with square-root link model had the second best RMSEs, with both estimates and BCIs very close in value.
The Gamma with square-root link and the Log Normal model presented the second best estimates for the MAPE, also with very close BCIs.
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