Example Problem 15.30 Fiddler crabs are so called because males have a greatly e
ID: 3311237 • Letter: E
Question
Example Problem 15.30
Fiddler crabs are so called because males have a greatly enlarged “major” claw, which is used to attract females and to defend a burrow. Darnell and Munguia (2011) recently suggested that this appendage might also act as a heat sink, keeping males cooler while out of the burrow on hot days. To test this idea, they placed four groups of crabs into separate plastic cups and supplied a source of radiant heat (60-watt light bulb) from above. The four groups were intact male crabs (a control); male crabs with the major claw removed; male crabs with the other (minor) claw removed (a control); and intact female fiddler crabs (a control). They measured body temperature of crabs every 10 minutes for 1.5 hours. These measurements were used to calculate a rate of heat gain for every individual crab in degrees C/log minute. Time was converted to the log scale to linearize the data (i.e. heat gain is asymptotic over time, not indeterminate). Rates of heat gain for all crabs are provided in the file “15.30.crabs.csv”.
a. What is the basic question the researchers are asking?
b. What variable(s) do they consider?
c. Name the explanatory variable and the scale on which it’s quantified.
d. Name the response variable and the scale on which it’s quantified.
e. What type(s) of statistical model(s) makes sense for these data?
f. What type of plot might you provide to show the data in the analysis?
Explanation / Answer
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a) Researchers wanted to know if Fiddler crabs' major” claw, which is used to attract females and to defend a burrow. might also act as a heat sink, keeping males cooler while out of the burrow on hot days.
b) Variables: body temperature,rate of heat gain, time
c) Explanatory: body temp (ratio) and time (ratio scale)
d) Response: Rate of heat gain
Ratio scale
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