c. The following data are sample means of (wing length – tail length) in mm, for
ID: 3170114 • Letter: C
Question
c. The following data are sample means of (wing length – tail length) in mm, for 24 flycatchers in each of 10 different species of flycatcher (a kind of bird):
Species 1 2 3 4 5 6 7 8 9 10
Average wing-tail (n = 24) 13.6 15.4 14.7 12.4 9.2 13.7 10.3 7.0 9.5 9.5
Explain why a conclusion that this measurement tends to differ in the 10 species cannot be made from these averages alone. What additional piece of information is needed to test for group differences and to evaluate the extent to which individuals from different species can be distinguished?
Explanation / Answer
To test the group differences of these 10 groups, individual values are needed to carry out ANOVA. In ANOVA, variation within the group is also considered. To calculate the within group variation individual values within the group are needed instead of just group averages.
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