An experimental is interested in studying the effects of consuming chocolates on cardiovascular health. She decides to use three different types of chocolates: 100g of dark chocolates, 100g of dark chocolates with 200ml of milk, and 200g of milk chocolate. She randomly selects 12 subjects, with an average age of [31.2,33.2] years, and an average weight of [137.8,151.43], and an average body mass index of [21.5,22.30]kg/m. On different days, a subject consumes one of the three types (factor levels), and one hour later the total anti-oxidants capacity of the blood plasma is measured. The data set is in the table below:
The experimenter would like to answer questions such as
(a) Do the data indicate any differences in mean antioxidants capacity? (the effects of the three levels of the factor(chocolate) are different, or at least one of them is different from the others)
(b) Which of the three levels has the most significant effect on antioxidant capacity?
(c) Can we perform pairwise comparisons?
(d) What methods of data analysis should we use in each case?
My worry now is how do I approach each of these questions. What do i need to do?