I would analyze such designs with one-way ANOVA, though I’m wondering whether factorial-ANOVA or nested-ANOVA can be used.
The research question is the following: is the behavior of a parasitoid affected by the presence of entomopathogenic fungi on the host-insect?
The variables are the following:
X1 = presence of host-insect individuals
X2 = application of entomopathogenic fungi (treatment)
X3 = exposure to parasitoid-insect (days post-treatment)
X4 = entomopathogenic fungi
Y = residence time (seconds), viz. time spent by the parasitoid on the leaf to search, handle and accept the host-insects
The experimental design is attached