Table 2. Analysis of deviance table of hierarchical generalized mixed-effect models applied to the data.

tested term	deviance inflation	Chisq	DF	p - value
main effect of treatment	0.9	0.9653	2	0.6172
main effect of time	2.2	2.2898	4	0.6826
main effect of year	0.2	0.2728	1	0.6015
treatment:time interaction	7.2	7.229	8	0.5121
treatment:year interaction	1.9	1.8602	2	0.3945
time:year interaction	10.2	10.191	4	0.03733
3 - way interaction (time:year:treatment)	1.9	1.9013	8	0.9839

Maximal model (with all possible main effects and interactions of fixed factors) was simplified and less complex models were created. First, a three-way interaction between treatment, time and year was removed, followed by two-way interactions and then main effects of treatment, time and year. The table shows the growth of residual deviance associated with omitting each term or interaction, which was tested using Chi-square tests.