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Correlation

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It appears that there is a significant relationship between cognitive ability and social rank, at least for birds. Bogart, Reader, and Laland (2006) measured social rank and individual learning ability for a group of starlings. The following data represent result results similar to those obtained in the study. Because social rank is an ordinal variable, the Spearman correlation is appropriate for theses data. Convert the social rank categories and the learning scores to ranks, and compute the Spearman correlation. Do all steps in hypothesis testing (please show all work)

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Subject Social Learning
Rank Scores
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A 1 3
B 3 10
C 2 7
D 3 11
E 5 19
F 4 17
G 5 17
H 2 4
I 4 12
J 2 3.

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This solution is comprised of detailed explanation and step-by-step calculation of the given problem regarding correlation. Calculations have been shown both in text and EXCEL for better understanding. The solution provides students with a clear perspective of the underlying concept.

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Step-I: Null and Alternate Hypothesis:
Null Hypothesis: There is no significant relationship between cognitive ability and social rank for birds.

Alternate Hypothesis: There is a significant relationship between cognitive ability and social rank for birds.
...

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  • MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
  • BSc, Banaras Hindu University
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