In the early 1900s, Latter (1902) investigated the behavior offemale cuckoos, that lay their eggs on the ground and then movethem to the nests of other birds. In particular, Latter gathereddata on the lengths of the cuckoo eggs found in these foster-nests.Data based on this work is used in (Tippett, 1952) and is locatedin the file cuckoos. The data contains the lengths, in millimeters,of the lengths of cuckoo eggs and the species of the nests wherethe eggs were placed. Get the data by installing and loading theresampledata R package, and use the Cuckoos dataset.
a. Create side-by-side boxplots (in R) to compare thedistribution of lengths across the different foster nests.
b. Conduct an ANOVA test (also in R) to see if the mean lengthsof the cuckoo eggs are the same across the different fosternests.
c. Perform the Tukey Honestly Significant Difference test(without p-value adjustment) to compare all pairwise means. Whatcan you conclude from this analysis? d. Do the Tukey HSD test usingthe p-value adjustment method of your choice. Do your conclusionsfrom “2c” change? Given the number of pairwise contrasts, withoutp-value adjustment, what would be your family-wise error rate ifyou were to conduct each pairwise contrast at /alpha = .05?
