Table 6.

The posterior distributions for parameters of the Bayesian beta models

Parameter		Posterior distribution
		Median	2.5th Percentile	97.5th Percentile
Mixed effects beta model
γ0	Intercept	0.07	−1.13	1.36
γ1	Heifers co-grazing	0.73	0.16	1.29
γ2	Purchasing heifers	0.85	0.23	1.49
φ		0.53	0.42	0.66
τV		1.43	0.22	4.81
Fixed effects beta model
γ0	Intercept	−0.38	−0.93	0.16
γ1	Heifers co-grazing	0.72	0.15	1.28
γ2	Purchasing heifers	0.84	0.22	1.48
γc	Canterbury	0.82	0.11	1.55
γw	Waikato	0.50	−0.08	1.09
φ		0.53	0.42	0.66

φ = a + b, where a and b are shape parameters of a beta distribution

τ_V, precision term of the region level random effect defined as 1/variance