ANOVA crossed and nested question. A poultry experiment was run to investigate the effect of diet and antibiotic on egg production.They evaluated 2 diets of interest, and 2 specific antibiotics of interest. The feed and antibiotic were combined and used to fill a single feeding tray in each barn.They chose 3 poultry farms at random and used 4 barns on each farm to accommodate the combinations of diet and antibiotic (assigned at random). Average egg production per chicken was recorded after 4 weeks.

Having trouble putting together the experimental design in terms of what the factors are, and what is crossed and nested.