Fig. 6

Posterior and predictive distribution. a Posterior distribution of the overall mean from the normal random effects model (solid line), and of the overall median from the proposed model (broken line: Box-Cox transformation, dotted line: Box-Cox transformation with the sign inversion), b Predictive distribution with 95 percent prediction interval from the normal random effect model (solid line), and those from the proposed model (black circle/broken line: Box-Cox transformation, black triangle/dotted line: Box-Cox transformation with the sign inversion)