Call:
glmmadmb(formula = pctrans ~ tree + (1 | tree:trayid), data = BT.data,
family = "beta")

AIC: -1149.8

Coefficients:
            Estimate Std. Error z value Pr(>|z|)
(Intercept) -1.16290    0.15136   -7.68  1.6e-14 ***
treeBC3F3   -0.01288    0.21310   -0.06     0.95
treeD54     -0.26647    0.21345   -1.25     0.21
treeD58     -0.03386    0.21318   -0.16     0.87
treeEllis1   0.00934    0.21285    0.04     0.96
treeQing     0.82941    0.21220    3.91  9.3e-05 ***

2.5 %     97.5 %
(Intercept) -1.4595573 -0.8662370
treeBC3F3   -0.4305435  0.4047932
treeD54     -0.6848254  0.1518833
treeD58     -0.4516802  0.3839700
treeEllis1  -0.4078356  0.4265210
treeQing     0.4135036  1.2453123

exp(-1.459 + (-0.431)) / (1 + exp(-1.459 + (-0.431)))