Expert answer:Calculate the Pearson correlation coefficient
Answer & Explanation:Simmons and Roberts (2005) examined the idea that males will
trade off the ability to fight diseases with the ability to reproduce. To test
this in field crickets (Teleogryllus
oceanicus), they measured sperm viability (a measure of reproductive
success) and lysozyme numbers (a measure of disease-fighting ability). The data
are given below; sperm viability is given as percent of sperm that were mobile,
and lysozyme numbers are given in units of number per mm2. I have
divided the data into two columns just so that it will all fit on one page; you
should include all of the data in your analysis!
Sperm Viability
# of Lysozymes
Sperm Viability
# of Lysozymes
72.6
18.1
83.1
17.3
79
16.6
83.3
15.6
80
20.5
83.7
16.6
80
16.4
83.8
16
80
16.7
83.9
17.5
80.5
18.1
84
17.2
81
16.8
84
13.8
81.7
16.8
84.3
19
81.8
16.4
84.4
18.3
81.8
14.1
84.6
17.6
82.2
17.3
84.6
15.6
82.3
19.8
84.8
14.7
82.8
19.9
84.9
14.3
82.8
17.4
85.6
16.9
82.8
16.5
86.2
15.5
82.8
15.6
86.5
13.1
82.8
14.3
87.3
15.6
83
17.6
87.6
13.5
83
16.6
87.7
17.5
88.2
16.1
87.8
13.7
88.1
18.5
A)
Calculate the Pearson correlation coefficient between
these two variables, and then determine whether this correlation is
significantly different from zero.
B)
Calculate the Spearman’s rank-order coefficient between
these two variables, and then determine whether this correlation is
significantly different from zero. For this part, you need to include your
ranked data and your values of D calculated from these ranks. However, you do not
need to hand-calculate the actual correlation coefficient!
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