Lab session 1: Questions
Question 1: Matt belongs to a golf club in my neighbour-hood. He divides the year into three golf seasons: summer (June-September), winter (November-March), and shoulder (October, April, and May). He believes that he plays his best golf during the summer (because he has more time and the course isn’t crowded) and shoulder (because the course isn’t crowded) seasons, and his worst golf during the winter (because all of the part-year residents show up, the course is crowded, play is slow, and he gets frustrated). Data from the last year are shown in the following table:
Season Summer Shoulder Winter
Observations
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83 85 85 87 90 88 88 84 91 90
91 87 84 87 85 86 83
94 91 87 85 87 91 92 86
a) Create a data frame called ¡®Golf¡¯ in R to store the above data. Use str() command to display the structure of the data.
b) Treat the season as a categorical variable (1 = Summer, 2 = Shoulder, 3 = Winter). Check if the season variable converts into factor.
c) Calculate all the descriptive statistics.
d) Prepare a boxplot that compares between the seasons.
e) Comment on the general distribution of the data using your boxplot as your guide.
Have you identified any outliers?
f) What is the best statistical test to compare outcomes among more than
two independent groups?
g) Does the data indicate that his opinion is correct? Use ¦Á=0.05.
h) Construct the confidence intervals. What do the results tell us?
i) Analyse the residuals from this experiment and comment on model adequacy.
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