Analysis of Scientific Data - Semester One, 2023 Week 11 Tutorial Questions PART A - One-Way ANOVA Early developmental experiences, such as incubation conditions, can have important consequences for post-hatching fitness in birds. A paper reported on a study where wood duck eggs were collected from nest boxes and experimentally incubated at various fixed temperatures, each falling within the range of temperatures of naturally incubated wood duck nests. The response variables recorded included egg mass (g) at the time of hatching. A one-way analysis of variance of egg mass by temperature in R gave the following results: Df Sum Sq Temperature 3 117.1 Residual 23 312.5 a) How many fixed temperatures were used in this design? b) How many eggs were included in this analysis? c) The paper reported that the mean egg mass for the 6 eggs at 35 ? was "44.7 + 1.88 g" where they indicated that "1.88" was the standard error of the mean (SEM). Based on this statement, what was the sample standard deviation of the egg mass for those 6 eggs? d) What is the R2 value for this model? e) What is the F statistic and p-value used to test for the difference in mean egg mass between the different temperatures? f) If you further analyse which pairs temperature levels resulted in different mean egg mass, how many pairwise comparisons should consider?
PART B - Questions from the Research Project Please discuss the research project guidelines and grading criteria with the students. Emphasize that the minimum sample size requirement is for the total sample, not for one group when the research involves groups. Show students how to use sample() in RStudio to select a random sample from the Islands. For example, if a student to want to take a sample of 20 from a particular Island or a village, how should they do it. Answer students' questions please.